Answers
Answer:
I believe the answer should be C
Related Questions
In a recent survey of 655 working americans ages 25-34, the average weekly amount spent on lunch was $43.29 with standard deviation $2.75. The weekly amounts are approximately bell-shaped
Answers
Answer:
99.7%
Step-by-step explanation:
Given that:
sample size (n) = 655
sample mean (\(\overline x\)) = 43.29
Standard deviation \(\sigma\) = 2.75
Let's assume we are to estimate the percentage between $33.72 and $51.54
Then;
The test statistics at 33.72 is :
\(Z = \dfrac{X - \mu}{\sigma}\)
\(Z = \dfrac{33.72 -43.29}{2.75}\)
\(Z = -3.48\)
Z at 51.54
\(Z = \dfrac{X - \mu}{\sigma}\)
\(Z = \dfrac{51.54 -43.29}{2.75}\)
\(Z = 3.00\)
Using the empirical standard rule, the percentage will be 99.7%
The gas tank in Enrique's car has 15 gallons of gas. Enrique was able to determine that he can travel 35 miles and only use 2 gallons of gas. At this constant rate, he predicts that he can drive 240 more miles before he runs out of gas. Is he correct? Explain.
Answers
Answer:
Yes, he is correct, 240 miles will require a gas volume of 13.71 gallons which is less than 15 gallons in Enrique's car.
Step-by-step explanation:
Given;
total volume of gas in Enrique's car, V = 15 gallons
The rate of gas consumption \(= \frac{35 \ miles}{2 \ gallons} = 17.5 \ miles/gallon\)
To drive 240 miles, he would need the following volume of gas;
\(V = 240 \ miles* \frac{1}{\frac{17.5 \ miles}{gallon} }\\\\ V = 240 \ miles*\frac{1*gallon}{17.5 \ miles}\\\\ V = (\frac{240 \ miles}{17.5 \ miles} )gallon\\\\V = 13.71 \ gallons\)
The volume of gas needed to drive 240 miles is less than the total volume of gas in Enrique's car.
Thus, he is correct
Which of the following liquids has the greatest density?
a) 1.3
with a mass of 2.3 g
b) 3.5
with a mass of 10 g
c) 0.022
with a mass of 0.10 g
d) 5.4
with a mass of 0.64 g
e) 0.21
with a mass of 0.12 g
Answers
the option c) has the greatest density of approximately 4.545 g/cm³.
To determine the liquid with the greatest density, we can calculate the density for each option using the formula:
Density = Mass / Volume
a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³
b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³
c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³
d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³
e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³
Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.
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Complete question is below
Which of the following liquids has the greatest density?
a) 1.3 cm³ with a mass of 2.3 g
b) 3.5 cm³ with a mass of 10 g
c) 0.022 cm³ with a mass of 0.10 g
d) 5.4 cm³ with a mass of 0.64 g
e) 0.21 cm³ with a mass of 0.12 g
8 ft.
Area
8 ft.
15 ft.
Answers
Answer:
?
Step-by-step explanation:
Estimate
1/8+4/9
A.5/17
B.3
C.1
D.1/2
Answers
Answer:
I would choose A
Step-by-step explanation:
3. How many milliliters of liquid are needed to fill a cylindrical can
with a radius of 3 centimeters and a height of 4.2 centimeters?
Answers
The volume of a cylinder can be calculated using the formula:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
V = π(3 cm)^2(4.2 cm)
V ≈ 113.1 cubic centimeters
Therefore, 113.1 milliliters of liquid are needed to fill the cylindrical can. Note that 1 cubic centimeter is equal to 1 milliliter.
for breakfast you eat a bowl of oatmeal and 1/4 cup of added raisins, for lunch, a turkey sandwich and a glass of fresh orange juice. how many servings of fruit and cereal have you had?
Answers
For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.
For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.
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Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X . Also, calculate the expected value of X . Round solution to three decimal places, if necessary. x 6 8 9 15 P ( x ) 0.64 0.14 0.14 0.08 μ = σ 2 = σ = What is the expected value of X ? E ( X )
Answers
Answer:
Expected value or mean = \(E(x) = \mu = 7.42\)
Variance = \(\sigma^2 = 6.283\)
Standard deviation = \(\sigma = 2.506\)
Step-by-step explanation:
We are given the following information:
x | P(x)
6 | 0.64
8 | 0.14
9 | 0.14
15 | 0.08
The expected value or mean is given by
\(E(x) = \mu = x \cdot P(x) \\\\E(x) = \mu = 6 \cdot 0.64 + 8 \cdot 0.14 + 9 \cdot 0.14 + 15 \cdot 0.08 \\\\E(x) = \mu = 7.42\)
The variance is given by
\(\sigma^2 = \sum (x - \mu)^2 \cdot p(x)\)
\(\sigma^2 = (6 - 7.42)^2 \cdot 0.64 + (8 - 7.42)^2 \cdot 0.14 + (9 - 7.42)^2 \cdot 0.14 + (15 - 7.42)^2 \cdot 0.08 \\\\\sigma^2 = 1.291 + 0.0471 + 0.349 + 4.596 \\\\\sigma^2 = 6.283\)
The standard deviation is given by
\(\sigma = \sqrt{\sum (x - \mu)^2 \cdot p(x)} \\\\\sigma = \sqrt{\sigma^2} \\\\\sigma = \sqrt{6.283} \\\\\sigma = 2.506\)
Therefore,
Expected value or mean = \(E(x) = \mu = 7.42\)
Variance = \(\sigma^2 = 6.283\)
Standard deviation = \(\sigma = 2.506\)
a recent study reported that americans spend an average of 300 minutes a day watching tv.. suppose that the distribution of minutes per day watching tv follows a normal distribution with a standard deviation of 26 minutes.
Answers
The average time Americans spend watching TV per day is reported to be approximately 300 minutes, following a normal distribution with a standard deviation of 26 minutes.
To address this question, we can use the provided information to describe the distribution of minutes per day spent watching TV by Americans.
Given that the distribution follows a normal distribution, we can assume that the data is symmetrically distributed around the mean. The mean of the distribution is given as 300 minutes.
The standard deviation, which measures the spread of the data, is stated as 26 minutes. This indicates that most people fall within one standard deviation of the mean.
Using the properties of a normal distribution, we can make various probabilistic statements. For example, approximately 68% of Americans would spend between 274 minutes (mean - 1 standard deviation) and 326 minutes (mean + 1 standard deviation) watching TV per day.
By understanding the characteristics of the normal distribution and the provided parameters (mean and standard deviation), we can analyze and make predictions about the amount of time Americans spend watching TV on a daily basis.
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Evaluate the logarithmic expression. Do not round the expression until the final answer. When necessary, round to the nearest hundredth. Log6 21. 1. 70
Answers
The evaluation of the logarithmic expression log6 21 is approximately 1.70.
To evaluate the logarithmic expression log6 21, we need to determine the exponent to which 6 must be raised to obtain 21. In other words, we need to find the value of x in the equation 6ˣ = 21. To solve for x, we can use the logarithmic property that states log base b of a equals x if and only if be = a. In this case, we have log6 21 = x, so 6ˣ = 21.
To find the value of x, we can rewrite the equation using exponential notation: 6ˣ = 21. Taking the logarithm of both sides with base 6, we get: log6 (6ˣ ) = log6 21 Using the logarithmic property, we can simplify the equation to: x = log6 21. Therefore, the value of x is equal to the logarithm of 21 with base 6. To evaluate this expression, we can use a calculator or logarithmic tables. The approximate value of log6 21 is 1.70.
Hence, the evaluation of the logarithmic expression log6 21 is approximately 1.70.
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Rayan bought 3 2/3 lb of apples to make
some apple pies. What is the weight of the
apples written as a decimal?
Answers
Answer:
3.66 lb
Step-by-step explanation:
2/3=0.666
3+0.66=3.66
Let m=x^2-5m=x 2 −5m, equals, x, squared, minus, 5. Which equation is equivalent to (x^2-5)^2-3x^2+15=-2(x 2 −5) 2 −3x 2 +15=−2left parenthesis, x, squared, minus, 5, right parenthesis, squared, minus, 3, x, squared, plus, 15, equals, minus, 2 in terms of m ?
Answers
Answer:
\(m^2-3m=-2\)\(m^2-3m+2=0\)Step-by-step explanation:
Let \(m=x^2-5\)
We want to express the equation \((x^2-5)^2-3x^2+15=-2\) in terms of m.
Given: \((x^2-5)^2-3x^2+15=-2\)
Factorizing the third and fourth term, we obtain:
\((x^2-5)^2-3(x^2-5)=-2\)
Substituting \(m=x^2-5\), the above equation becomes:
\(m^2-3m=-2\)
Since the options are not given, the equivalent equation is:
\(m^2-3m=-2\)
It could also be written in a rearranged form as:
\(m^2-3m+2=0\)
I would love some help!! 13 points and brainlest to whoever gives a correct answer!
Answers
Answer:
610
Step-by-step explanation:
in what method of periodization might an athlete perform five sets of five repetitions at 85% of 1rm on the first day of the week, five sets of fourteen repetitions at 62.5% of 1rm on the next training day, and five sets of two repetitions at 90% of 1rm on the last training day of the week? group of answer choices traditional periodization undulating periodization or nonlinear periodization linear periodization
Answers
The method of periodization that an athlete performs is traditional periodization method.
Given,
An athlete perform five sets of five repetitions at 90% of 1rm on the first day of the week, five sets of fourteen repetitions at 85% of 1rm on the next training day, and five sets of two repetitions at 62.5%of 1rm on the last training day of the week;
Here,
The example above, where the percentage of one-repetition maximum (1RM) decreases as the training day progresses, is essentially a traditional periodization method.
As a result, during the course of the training cycle, the athletes' completed work gradually grows. As a result, as the load increases over time, there is a corresponding decrease in volume.
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a force of 5 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 1.1 feet beyond its natural length?
Answers
The work done in stretching the spring from its natural length to 1.1 feet beyond its natural length is 6.125 foot-pounds.
The work done in extending a spring is given by the formula: W = (1/2)kx^2, where W is the work done, k is the spring constant, and x is the displacement from the natural length of the spring.
First, we need to find the spring constant k. Since a force of 5 pounds is required to hold the spring stretched 0.6 feet beyond its natural length, we can use the formula k = F/x to find k:
k = F/x = 5/0.6 = 8.33 pounds/foot
Now, we can find the work done in stretching the spring from its natural length to 1.1 feet beyond its natural length:
W = (1/2)kx^2 = (1/2)(8.33)(0.5^2) = 6.125 foot-pounds.
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The proportion of female employees of an international company is 40%. If a random sample of 96 employees is taken, what is the probability that the proportion of female employees is at most 32%?
Answers
The probability that the proportion of female employees is at most 32% is approximately 0.1314.
Given that the proportion of female employees of an international company is 40%. The total number of employees in the company is unknown.
A random sample of 96 employees is taken, we are to find the probability that the proportion of female employees is at most 32%.
The formula to find the probability that the proportion of female employees is at most 32% is given by:P(X ≤ 0.32) = P((X - μ) / σ ≤ (0.32 - 0.4) / √(0.4 x 0.6 / n))
Here, n = 96∴ P(X ≤ 0.32) = P(Z ≤ (0.32 - 0.4) / √(0.4 x 0.6 / 96))≈ P(Z ≤ -1.12) [rounded to two decimal places]
This is approximately 0.1314 [rounded to four decimal places]
Therefore, the probability that the proportion of female employees is at most 32% is approximately 0.1314.
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Hypothesis testing enables us to determine if the collected ______ data is inconsistent with what is stated in the null hypothesis.
Answers
Hypothesis testing is a powerful statistical tool that enables us to determine whether the collected data is consistent with what is stated in the null hypothesis.
Hypothesis testing is a statistical method that allows us to determine whether the collected data is consistent with what is stated in the null hypothesis. The null hypothesis is a statement that assumes there is no significant difference between two groups or two variables being compared.
In contrast, the alternative hypothesis is the opposite of the null hypothesis, and it assumes that there is a significant difference between the two groups or variables being compared.
To test a hypothesis, we start by formulating the null hypothesis and the alternative hypothesis. Then, we collect data that is relevant to the hypothesis being tested. Next, we use statistical tests to analyze the data and calculate the probability of obtaining the observed results under the null hypothesis.
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Graph this line using the slope and y-intercept: y=–19x+10
Answers
The graph of the equation, y = -19x + 10 is shown below.
How to Graph the Line of an Equation Using the Slope and Y-intercept?If the equation of a line is expressed in slope-intercept form as y = mx + b, it means that:
the slope of the line is m, which is the rise over the run of the line.the y-intercept of the line is b, which means the line will intercept the y-axis at y = b.Given a line has the equation, y = -19x + 10, therefore;
the slope (m) = -19.
the y-intercept (b) = 10.
Therefore, the graph of the line is shown in the attachment below and it cuts the y-axis at 10.
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Matthew drew 9 hearts and 22 circles. What is the ratio of circles to all shapes?
Answers
10. A researcher is seeking colorblind men for a study. Knowing that only 8% of all men are colorblind, they test 450
volunteers. What is the probability of more than 50 of these men being colorblind?
Answers
Answer:
hi how are you doing luck finding your answer
whats the line in fully simplified slope form pls help me.
Answers
Answer:
y = -5/6x - 7
Step-by-step explanation:
The half-life of a radioactive substance is one day, meaning that every day half of the substance hasdecayed. Suppose you have 100 grams of this substance.14. Construct an exponential model for the amount of the substance remaining on a given day.15. How many grams of the substance would be left after a week? (round to the hundredths place)
Answers
Let A₀ be the initial mass of the sample of the radioactive substance.
Since half of the substance decays each day, then, the next day the amount of radioactive substance left is:
\(A_0\cdot\frac{1}{2}\)After t days, the total amount would have decayed by 1/2, t times. Then, the amount A of the radioactive substance left after t days is:
\(A=A_0\cdot(\frac{1}{2})^t\)To find how many grams of the substance would be left after one week, replace A₀=100 and t=7:
\(A=100\cdot(\frac{1}{2})^7=0.78125\ldots\)Therefore, the exponential model that tells the amount of substance remaining on a given day, is:
\(A=100\cdot(\frac{1}{2})^t\)And the amount of grams left after a week is 0.78.
what is the range of the function g(x)=|x-12|-2?
Answers
Answer:-14
Step-by-step explanation:
Answer:
{y | y > 12}
Step-by-step explanation:
just took the test
What is the extraneous solution of the given absolute value equation?
-2|-2x-4|=-12
Answers
9514 1404 393
Answer:
is no extraneous solution
Step-by-step explanation:
An absolute value equation typically does not have extraneous solutions. The solutions to this one are ...
x ∈ {-5, 1}
__
Unless there is some domain restriction, this equation has no extraneous solutions.
_____
For -2x-4 < 0
-2(2x +4) = -12
x +2 = 3
x = 1 . . . . . . -2(1)-4 = -6 < 0. Not an extraneous solution
__
For -2x-4 > 0
-2(-2x -4) = -12
4x +8 = -12
4x = -20
x = -5 . . . . . . -2(-5) -4 = 6 > 0. Not an extraneous solution
flipping a fair coin is said to randomly generate heads and tails with equal probability. explain what random means in this context.
Answers
In this context, the definition of random is an unbiased result of the action of flipping said coin. It has not been tampered with, nothing has been done to change the outcome, there is nothing that with make the outcome lean to one specific answer.
Which of these expressions is equivalent to:
3x^3 y^5 + 3x^5 y^ 3 − (4x^5 y^3 − 3x^3 y^5)
Answers
The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).
Let's simplify the given expression step by step using the given terms:
Expression:
\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)
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Given △abc ~ △xyz, what is the value of cos(z)? five-thirteenths five-twelfths twelve-thirteenths twelve-fifths
Answers
The value of cos(Z) is 12/13.
Since both triangles are similar, △ABC ~ △XYZ, the corresponding angles are congruent. It means:
m∠C = m∠Z, and
cos C = cos Z
The ratio for cosine is adjacent/hypotenuse. In a right triangle, the hypotenuse is the longest side, while an opposite side is the one across from a given angle, and an adjacent side is the one next to a given angle.
Since the side marked 12 is adjacent to angle C and 13 is the hypotenuse of this triangle; so, we know that:
cos C = 12/13
Thus, because of the angles and cosines for C and Z will be the same, it makes:
cos Z = cos C = 12/13
Hence, the value of cos(Z) is 12/13.
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Elijah's scout troop took a field trip to the local fire station. They learned that Benjamin Franklin established the first volunteer fire company in 1736! At the end of the trip, the scouts spun a spinner to determine what color fire helmet each got to take home. Here are the spinner results of the scouts who spun before Elijah: red, yellow, blue, yellow, green, yellow, red, blue, green, red, yellow, blue, yellow, green Based on the data, what is the probability of the spinner landing on red during Elijah's turn? Write your answer as a fraction or whole number.
Answers
The Probability of landing red during Elijah's turn is 0.20
Probability:The probability of an event can be found by dividing the number of ways an event can occur by the total number of possible outcomes.
It is a measure of the likelihood that a specific event will occur, expressed as a number between 0 and 1.
Here we have
The spinner results are: red, yellow, blue, yellow, green, yellow, red, blue, green, red, yellow, blue, yellow, green
Total number of outcomes = 14
Number of outcomes getting red outcomes = 3
Hence,
the Probability of landing red during Elijah's turn
= 3/14 = 0.20
Therefore,
The Probability of landing red during Elijah's turn is 0.20
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What is the slope of points (3, 5) and (2, 7)
Answers
Answer: 12/5
Step-by-step explanation:
To find the slope of a line when only given two points on that line, divide the difference in the y points by the difference in the x points.
There are two ways that you can do this.
First Method
Slope Formula: \(m=\frac{y2-y1}{x2-x1}\)
7 is y2, 5 is y1, 2 is x2, and 3 is x1.
\(\frac{7-5}{2-3} =\frac{2}{-1} =-2\)
Therefore, the slope is -2. (aka "m = -2")
Second Method
Get a graph. Mark the two points on the graph and draw a line. After that, do the rise over run method. Go several units up and several units over. If the slope is going up to the left, then there is a negative slope. If the line is going up to the right, then there is a positive slope. (pictures of the graph down below)
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If you add a positive number,which direction do you move the number line
Answers
Adding any positive number to a given number would move it to right on the number line.
When you add a positive number to another number, you move to right on the number line. The positive numbers are to the right of zero on the number line and increase as you move further to the right.
Adding a positive number to a given number means increasing its value and moving it to the right on the number line. For example, adding 5 to 3 means moving 5 units to right of 3 on number line, which lands on the number 8. Similarly, adding any positive number to a given number would move it to the right on the number line.
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