Answer:
-55/3
Step-by-step explanation:
6x+12=3x-43
Subtract 3x from both sides:
3x+12=-43
Subtract 12 from both sides:
3x=-55
Divide both sides by 3:
x=-55/3
Hope this helps!
Answer:
x = -18.33 or x = -55/3 (fraction form)
Step-by-step explanation:
first, you need to get x on one side,
6x + 12 = 3x - 43
-3x -3x
3x + 12 = -43
then, get the x by itself.
3x + 12 = -43
-12 -12
3x = -55
divide both sides by three
3x/3 = -55/3
x = -18.33
and you have your answer!
I need help with the final part of the problem - (f) Would you recommend using the model found in part (a) to predict the bone mineral density of a woman who consumes two colas per day? Why? Select the correct choice belowand, if necessary, fill in the answer box to complete your choice. - Thank you!
Because colas tend to replace healthier beverages and colas contain caffeine and phosphoric acid, researchers wanted to know whether cola consumption is associated with lower bone mineral density in women. The accompanying data lists the typical number of cans of cola consumed in a week and the femoral neck bone mineral density for a sample of 15 women.
Colas per week Bone Mineral Density (grams per cubic centimeter)
0 0.907
0 0.896
1 0.880
2 0.842
2 0.851
2 0.835
2 0.835
3 0.814
5 0.757
5 0.762
5 0.758
6 0.729
6 0.727
7 0.709
8 0.676
Find the least-squares regression line treating cola consumption per week as the explanatory variable.
ŷ =-0.028x + 0.9
(Round to three decimal places as needed.)
(b) Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
B. For every cola consumed per week, the bone density decreases by 0.028g /cm3, on average. - Correct Answer
(Round to three decimal places as needed.)
(c) Interpret the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. For 0 colas consumed in a week, the bone density is predicted to be 0.900 g/cm3. - Correct Answer (Round to three decimal places as needed.)
(d) Predict the bone mineral density of the femoral neck of a woman who consumes two colas per week.
ŷ =0.844g/cm3
(Round to three decimal places as needed.)
(e) The researchers found a woman who consumed two colas per week to have a bone mineral density of 0.837 g/cm3. Is thiswoman's bone density above or below average among all women who consume two colas per week?
This women's bone density is ▼ above below the average of 0.840g/cm3.
(f) Would you recommend using the model found in part(a) to predict the bone mineral density of a woman who consumes two colas per day? Why? Select the correct choice below and, ifnecessary, fill in the answer box to complete your choice.
A.
Yes—the calculated model can be used for any number of colas consumed per week.
B.
No—an x-value that represents a woman consuming __?__colas per week is not possible.
(Type an integer or a simplified fraction.)
C.
No—an x-value that represents a woman consuming __?__colas per week is outside the scope of the model.
(Type an integer or a simplified fraction.)
D.
Yes—an x-value that represents a woman consuming __?__colas per week is possible and within the scope of the model.
(Type an integer or a simplified fraction.)
E.
More information regarding the woman is necessary to make the decision.
Slope of the least-squares regression line decreases by 0.028 g/cm3, on average. The y-intercept (a) indicates that for 0 colas consumed per week. No - an x-value that represents a woman consuming 2/7 colas per week is outside the scope of the model, so the correct option is option c).
The slope of the least-squares regression line is -0.028 g/cm3, meaning that for every cola consumed per week, the bone density decreases by 0.028 g/cm3 on average. Therefore, the correct interpretation of the slope is: "For every cola consumed per week, the bone density decreases by 0.028 g/cm3, on average."
The y-intercept (a) indicates that for 0 colas consumed per week, the bone density is predicted to be 0.900 g/cm3. Therefore, the correct interpretation of the y-intercept is: "For 0 colas consumed in a week, the bone density is predicted to be 0.900 g/cm3."
To predict the bone mineral density of the femoral neck of a woman who consumes two colas per week, we need to use the regression equation: y = -0.028x + 0.9. Substituting x = 2, we get y = -0.028(2) + 0.9 = 0.844 g/cm3. Therefore, the predicted bone mineral density is 0.844 g/cm3. The bone mineral density of a woman who consumed two colas per week was found to be 0.837 g/cm3.
To determine whether this value is above or below the average bone mineral density among all women who consume two colas per week, we need to calculate the mean bone mineral density for this group. The mean bone mineral density for women who consume two colas per week is: (0.842 + 0.835) / 2 = 0.839 g/cm3. Since the woman's bone density is less than the mean, it is below average among all women who consume two colas per week.
We cannot use the model found in part (a) to predict the bone mineral density of a woman who consumes two colas per day because the model was constructed based on data for the number of colas consumed per week, not per day. Therefore, we cannot use the regression equation y = -0.028x + 0.9 to predict the bone mineral density of a woman who consumes two colas per day because it is outside the scope of the model. The correct answer is option (C): No - an x-value that represents a woman consuming 2/7 colas per week is outside the scope of the model.
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What is the area of the figure below?
Answer:
please mark my answer brainliest
Step-by-step explanation:
the answer will be...9in square +25in square +24 in square.....=58 in square.....that is ur answer...find individual areas then sum up
If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, how many minutes will it take the machine to fill 240 bottles?
If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, Then the machine will take approximately 18 minutes to fill 240 bottles.
Constant rate is a rate of change is constant when the ratio of the output to the input stays the same at any given point on the function.
Given that machine take 3 minutes to fill 40 bottles
So for 1 minute the machine fill \(\frac{40}{3}\) = 13.3333 bottles.
That is in 1 minute the machine fill approximately 14 bottles.
So the machine take a time to fill 240 bottles is \(\frac{240}{14} = 18.461\).
Thus the machine take approximately 18 minutes to fill 240 bottles.
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How many solutions does y=x^2-10x+25 have
The equation only has 1 solution, which is x = 5.
A man purchased a magazine at the airport for $2.79. The tax on the purchase was $0.16. What is the tax rate at the airport? Round to the nearest percent.
Solution
For this case the total price represent 2.79
The tax on this case was 0.16
We can find the percent of the tax rate with the following operation:
\(\frac{0.16}{2.79}\cdot100=5.73\)And rounded to the nearest percent we got:
6%
help me out with this pls (multiple choice) plz & ty
Answer:
D
Step-by-step explanation:
\( \sin(30) = \frac{y}{12} \\ y = 6 \\ \cos(30) = \frac{x}{12 } \\ x = \sqrt{108} = 6 \sqrt{3} \)
The points (6, -3) and (7, -10) fall on a particular line. What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
Step-by-step explanation:
Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Get the slope;
m = Δy/Δx = y2-y1/x2-x1
m = -10-(-3)/7-6
m = -10+3/1
m = -7
Get the intercept;
Substitute the point (6, -3) and m = -7 into the expression y = mx+c
-3 = -7(6)+c
-3 = -42 + c
c = -3 + 42
c = 39
Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c
y = -7x + 39
Hence the required equation is y = -7x + 39
Ashley owns a food truck that sells tacos and burritos. She sells each taco for $3 and
each burrito for $5.25. Ashley must sell at least $340 worth of tacos and burritos each
h day. Write an inequality that could represent the possible values for the number of
tacos sold, t, and the number of burritos sold, b, that would satisfy the constraint.
Answer:
3t + 5.25b ≥ 340
Step-by-step explanation:
When solving the following equation by completing the square, what would be your first step?
x2−6x−40=0
Question 1 options:
take the square root of x-squared
add 9 to both sides of the equation
divide 40 by 2
divide 6 by 2
add 40 to both sides of the equation
square 6
add 6x to both sides of the equation
The next step would be to factor the left-hand side of the equation as (x - 3)^2 - 8 = 0, which can be solved using the square root method or by adding 8 to both sides and then taking the square root.
The first step when solving the equation x^2 - 6x - 40 = 0 by completing the square is to add the square of half the coefficient of x (which is (-6)/2 = -3) to both sides of the equation:
x^2 - 6x - 40 + (-3)^2 = (-3)^2
This simplifies to:
x^2 - 6x + 1 = 0
what is equation?
In mathematics, an equation is a statement that two expressions are equal. It contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. The goal of solving an equation is to determine the value or values of the variables that make the equation true. Equations are used to model real-world situations and to solve problems in various fields, such as science, engineering, economics, and physics.
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the degrees of freedom for a data table with 10 rows and 11 columns is?
The degrees of freedom for a data table can be calculated using the formula:
Degrees of Freedom = (Number of Rows - 1) * (Number of Columns - 1)
In this case, the data table has 10 rows and 11 columns. Plugging these values into the formula:
Degrees of Freedom = (10 - 1) * (11 - 1) = 9 * 10 = 90
Therefore, the degrees of freedom for the given data table is 90.
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HELP!!!!!!!!!!!!!!!!!!1
Answer:
The second option "They highlight the unnatural feeling of moving without gravity
Step-by-step explanation:
4/5(10m+30) = -3(m+3)
Answer:
M = -3
4(10m + 30)/5 = -3(m+3)
4x10(m+3)/5 = -3(m+3)
40(m+3)
=−3(m+3)
8(m+3)=−3(m+3)
8m+24=−3m−9
8m+24+3m=−9
11m+24=−9
11m=−9−24
11m=−33
m=−
11
33
m=−3
Hope I helped
referring to the following short-run model for a typical monopolistically competitive firm at profit maximization, total revenue is $ , total costs are $ , and total economic profit is $
In the short-run model for a typical monopolistically competitive firm at profit maximization, the total revenue is $X, total costs are $Y, and the total economic profit is $Z.
In the short-run model for a typical monopolistically competitive firm, profit maximization occurs when marginal revenue (MR) equals marginal cost (MC). The total revenue of the firm, denoted as TR, is the product of the price per unit (P) and the quantity sold (Q). Therefore, TR = P × Q.
To determine the total costs (TC) of the firm, we need to consider both explicit costs (such as wages, rent, and raw material expenses) and implicit costs (such as the opportunity cost of the owner's time and capital invested). TC includes both the variable costs (VC), which change with the level of production, and the fixed costs (FC), which remain constant regardless of the production level. Thus, TC = VC + FC.
Finally, to calculate the total economic profit, we subtract the total costs (TC) from the total revenue (TR). Economic profit (π) is given by the equation π = TR - TC. If the economic profit is positive, the firm is making profits. If it is negative, the firm is incurring losses. If it is zero, the firm is just breaking even.
Overall, in the short-run model for a monopolistically competitive firm at profit maximization, the total revenue (TR) is $X, the total costs (TC) are $Y, and the total economic profit (π) is $Z. These figures are crucial for understanding the financial performance of the firm and its position in the market.
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The equation c = 6.99p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store.
Which description is true, based on the equation of the proportional relationship?
For $1, you can buy 6.99 pounds of shrimp.
For $6.99, you can buy 6.99 pounds of shrimp.
For $6.99, you can buy 1 pound of shrimp.
For $0.01, you can buy 1 pound of shrimp.
For $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct
What is a Ratio?A ratio indicates the number of times one number contains another.
The given equation is c = 6.99p, where c is the cost and p is the weight in pounds.
c = 6.99p
substitute p = 1:
c = 6.99
Hence, for $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct.
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Pls help please!!!
i am gonna have to go with B
the activity of a radioactive isotope is found to decrease by 40% in one week. what are the values of its: a) decay constant, b) half-life, c) mean lifetime?
Answer: A) The decay constant (λ) is a measure of the rate at which a radioactive isotope decays. It is defined as the probability per unit time that an atom of the isotope will decay. The decay constant can be calculated using the formula:
λ = -ln(1 - x) / t
Where x is the fraction of the original activity that has decayed (in this case, 0.40), and t is the time over which the decay occurred (in this case, one week).
B) The half-life (T1/2) is the amount of time it takes for half of the original activity of a radioactive isotope to decay. It can be calculated using the formula:
T1/2 = ln(2) / λ
C) The mean lifetime (τ) is the average amount of time an atom of a radioactive isotope will survive before it decays. It can be calculated using the formula:
τ = 1 / λ
It's important to note that the above formulas are based on the exponential decay model, which assumes that the decay process is random and that the decay constant is constant over time. If the isotope does not decay in this way, these formulas may not give accurate results.
Step-by-step explanation:
a claim that two situations are similar, based on minor similarities between two cases when there are major differences being ignored is a _____.
The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.
False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.
For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.
In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.
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I don't know which one to pick.
Answer:
I think the answer Is k=4,y=4x
flip a coin will be flipped three times, and the number of heads recorded. explain why this is a binomial experiment. check all four required conditions.
When a coin will be flipped three times, and the number of heads recorded. The reason that, this is a binomial experiment is "there are a set number of trials, n. The coin would be flipped three times, a fixed number of times."
What is binomial experiment?A binomial experiment is one that has a fixed number of independent trials only with two outcomes. For instance, the outcome could be a yes or no response. When you toss a coin, you might wonder, "Will I get heads?" The response is either yes or even no.
That is the basic idea, but in order to label an experiment a binomial experiment, the following rules must be followed.
There must be a set number of trials. It should go without simply stating; if you don't have a set number of trials, you could keep tossing that coin indefinitely.Each trial is a separate event. "Independent" means that each time you duplicate the trial (i.e. tossing this same coin), it's a brand new trial with no effect on the outcome.Each trial is a separate event. "Independent" means that each time you replicate the trial (i.e. tossing this same coin), it's a brand new trial with no effect on the outcome.To know more about the binomial experiment, here
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Which best describes the error in finding the area of the triangle?
A=
12 m
= (10)(13)
10 m
13 m
= 65 m2
O The final product is not half of the product of 10 and 13.
The side length of 10 meters was used instead of the height
The side length of 13 meters was used instead of the height.
O The formula to use should have been A = bh instead of A = bh.
Correct the error.
m2
Hey there ..
According to me .., the area is 60m^2 .. (refer the image given )
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Thank u .. Follow me ..
Can someone help me with this
The rule to translate triangle ABC to triangle A'B'C' is (x + 5, y - 5).
To find the rule that translates triangle ABC to triangle A'B'C', we need to determine the translation vector (a, b) that moves each vertex of triangle ABC to its corresponding vertex in triangle A'B'C'.
Let's calculate the translation vector by subtracting the coordinates of a vertex in triangle ABC from its corresponding vertex in triangle A'B'C'.
Translation vector for vertex A:
(a, b) = (4 - (-1), -3 - 2) = (5, -5)
Translation vector for vertex B:
(a, b) = (10 - 5, -8 - (-3)) = (5, -5)
Translation vector for vertex C:
(a, b) = (2 - (-3), -5 - 0) = (5, -5)
Since the translation vector is the same for all vertices, we can conclude that the rule to translate triangle ABC to triangle A'B'C' is (x + 5, y - 5).
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A toad croaks every 8 seconds and a frog croaks every 6 seconds they both croak at the same time after how many seconds will they next croak at the same time
Answer:
24
Step-by-step explanation:
hello
8=2*2*2
6=2*3
so the next time they both croak all together is 2*2*2*3=24
hope this helps
How to convert from grams to mg?
Answer:
1g = 1000 mg
Step-by-step explanation:
convert using a factor of 1000
mil = 1000
What is the height of the trapezoid? 3 units 5 units 10 units 12 units
In a trapezoid, the height is the perpendicular distance between the two parallel bases. It is usually denoted as "h".
In order to determine the height of a trapezoid, we need to know the lengths of the two parallel bases or have additional information about the trapezoid's dimensions.
The lengths of the bases of a trapezoid are crucial for calculating the height using various formulas. Without the lengths of the bases or any other relevant information, we cannot determine the height of the trapezoid.
To determine the height of a trapezoid, we need more information. The height of a trapezoid is typically defined as the perpendicular distance between the two parallel bases. In this case, we would need to know the lengths of the two parallel bases or have additional information about the trapezoid's dimensions. Without that information, we cannot determine the height of the trapezoid.
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Answer: 5 units
Step-by-step explanation:
what's the answer for 1/2 of 3/5?
Answer:
3/10
Step-by-step explanation:
Rural property was purchased by four people. if there is no mention of what each party has in the property, or how title is to be taken, how will the title be recorded
If there is no mention of what each party has in the property, or how title is to be taken, the title will be recorded as tenants in common.
What is rural property?Rural property is a term used to describe land and buildings located in rural or semi-rural areas, usually outside urban or suburban settings. Rural property often includes farms, ranches and other agricultural land, small towns, villages and other non-urban areas. Rural property also includes forests, clearings and recreational areas. Landowners often rely on land to support themselves and use it for a variety of purposes, including: Growing crops, raising livestock, selling timber, and providing recreational activities.
This means that each party owns the undivided interest in the property, but neither party has rights to any particular area of the property. Each party may transfer, sell, or mortgage ownership of real estate without the other party's consent, but each party is responsible for taxes, mortgage payments, and other costs associated with the real estate.
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5 2/3 / 3/3
please help it’s due at 11:59 and it’s 10:17 and last day to turn in missing work
Answer:
34/9 or 3 7/9
Step-by-step explanation:
to do this u must turn 5 2/3 into an improper fraction first
5 2/3 is also 17/3
to divide you can multiply the first number by the second numbers reciprocal or flipped numbers
17/3 * 2/3
you flipped 3/2 to make it 2/3
for 17/3 * 2/3 just multiply across
34/9
then you can make that a mixed number
3 7/9
that is your answer
Answer:
the answer is 3 7/9
Step-by-step explanation:
in order to find the answer to this you need to change the mixed fraction into a improper fraction then do the reciprocal on 3/2 would would change to 2/3. Then, since you cant divide fractions you need to multiply 17/3×2/3 which would give you 34/9. But since 34/9 is improper, you need to change it to a mixed fraction and simplify if you can. So that means your final answer should be 3 7/9
♡--------------------------------------------------♡
. State the steps in determining the decision and conclusion using z-test and ttest. .
Answer:
see explanation :), It is important to note that the specific steps and procedures may vary depending on the specific context, type of data, and test assumptions. It is recommended to consult appropriate statistical resources or consult with a statistician for the accurate application of the z-test or t-test in a given scenario.
Step-by-step explanation:
Determining the decision and conclusion using a z-test and t-test typically involves the following steps:
1. Formulate the null and alternative hypotheses: Start by stating the null hypothesis (H₀) and the alternative hypothesis (H₁) based on the research question or problem at hand.
2. Select the appropriate test: Determine whether a z-test or t-test is appropriate based on the characteristics of the data and the population under consideration. The choice depends on factors such as sample size, population standard deviation availability, and the assumptions of the test.
3. Set the significance level (α): Determine the desired level of significance or the probability of rejecting the null hypothesis when it is true. Commonly used values for α include 0.05 or 0.01.
4. Calculate the test statistic: For a z-test, calculate the z-score by subtracting the population mean from the sample mean, dividing by the standard deviation, and considering the sample size. For a t-test, calculate the t-value using the appropriate formula based on the type of t-test (e.g., independent samples, paired samples) and the sample data.
5. Determine the critical value: Based on the chosen significance level and the type of test, identify the critical value from the corresponding distribution table (e.g., z-table or t-table).
6. Compare the test statistic and critical value: Compare the calculated test statistic to the critical value. If the test statistic falls in the rejection region (i.e., it is greater than or less than the critical value), then reject the null hypothesis. If the test statistic does not fall in the rejection region, fail to reject the null hypothesis.
7. State the decision: Based on the comparison in the previous step, make a decision regarding the null hypothesis. If the null hypothesis is rejected, it suggests evidence in favor of the alternative hypothesis. If the null hypothesis is not rejected, there is not enough evidence to support the alternative hypothesis.
8. Draw conclusions: Based on the decision, draw conclusions about the research question or problem. Summarize the findings and discuss the implications based on the statistical analysis.
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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HELP
15.Solve the equation, then choose the correct answer:
–4(x – 3) = –8
Answer:
x = 5
Step-by-step explanation:
-4 ( x - 3) = -8
-4x +12 = -8
-4x = -20
x = 5