Answer:
-2
Step-by-step explanation:
-2 is marked on number line, count 5 to the left is -7
The normal curve with a mean of 0 and standard deviation of 1 is called ______________.
a. standard normal curve.
b. the emperical rule.
c. a random variable.
d. the z-value.
The normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
What is a standard score (z-value)?The z-score value indicates how many standard deviations you are from the mean. A z-score of 0 indicates that the data is on the mean. A positive z-score indicates that the raw score exceeds the mean average. For example, a z-score of +1 indicates that it is one standard deviation above the mean. The number of standard deviations by which the value of a raw score (that is, an observed value or data point) is above or below the mean value of what is being observed or measured is referred to as the standard score in statistics. Raw scores that are higher than the mean have positive standard scores, while those that are lower than the mean have negative standard scores.Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
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uno's has projected its Q1 sales at $46,000 and its Q2 sales at $48,000. Purchases equal 71 percent of the next quarter's sales. The accounts receivable period is 30 days and the accounts payable period is 45 days. At the beginning of Q1, the accounts receivable balance is $12,200 and the accounts payable balance is $14,800. The firm pays $1,500 a month in cash expenses and $400 a month in taxes. At the beginning Q1, the cash balance is $280 and the short-term loan balance is zero. The firm maintains a minimum cash balance of $250. Assume each month has 30 days. What is the cumulative cash surplus (deficit) at the end of the Q1, prior to any short-term borrowing?
Multiple Choice
$8,880
$8,633
$9,157
$9,210
$9,684
To calculate cumulative cash surplus/ deficit we need to consider cash flows during quarter, including sales, purchases, accounts receivable, accounts payable, cash expenses, taxes, initial cash,loan balances.
Calculate the total cash inflows from sales for Q1: $46,000 (Q1 sales) * 71% (purchases as a percentage of next quarter's sales) = $32,660.
Calculate the total cash outflows for Q1: $1,500 (monthly cash expenses) * 3 months + $400 (monthly taxes) * 3 months = $5,700 + $1,200 = $6,900.
Calculate the net cash flow from accounts receivable: $32,660 (total cash inflows from sales) - $12,200 (accounts receivable balance at the beginning of Q1) = $20,460.
Calculate the net cash flow from accounts payable: $48,000 (Q2 sales projection) * 45 days / 30 days = $72,000 (purchases for Q2) - $14,800 (accounts payable balance at the beginning of Q1) = $57,200.
Calculate the net cash flow from short-term borrowing: Since the short-term loan balance is zero at the beginning of Q1 and there is no mention of additional borrowing, the net cash flow from short-term borrowing is zero.
Calculate the net cash flow for Q1: Net cash flow = Cash inflows - Cash outflows = $20,460 (net cash flow from accounts receivable) - $6,900 (total cash outflows) + $57,200 (net cash flow from accounts payable) = $70,760.
Calculate the cumulative cash surplus/deficit at the end of Q1: Cumulative cash surplus/deficit = Initial cash balance + Net cash flow - Minimum cash balance = $280 (initial cash balance) + $70,760 (net cash flow) - $250 (minimum cash balance) = $71,790.
Therefore, the cumulative cash surplus (deficit) at the end of Q1, prior to any short-term borrowing, is $71,790.
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Which of these functions from R to R are bijections? (Check all that apply.) Check All That Apply f(x) = -3x+4 f(x) = -3 22 + 7 f(x)= 2+1 2+2 f(x)= x + 1
The functions f(x) = -3x + 4 and f(x) = x + 1 are bijections.
A bijection is a function that is both injective (one-to-one) and surjective (onto). In other words, for a function to be a bijection, each input value must have a unique output value, and every output value must have a corresponding input value.
Let's analyze each function given:
1. f(x) = -3x + 4:
This function is a linear equation with a slope of -3. Since the coefficient of x is non-zero, the function is one-to-one. Also, as the range of this function spans all real numbers, it is onto. Therefore, f(x) = -3x + 4 is a bijection.
2. f(x) = -3²² + 7:
This function is a constant function, which means it has a fixed output value for all input values. It is not one-to-one since multiple inputs can yield the same output. Thus, f(x) = -3²² + 7 is not a bijection.
3. f(x) = 2 + 1² + 2:
This function is a constant function as well and does not vary with the input value x. Similar to the previous function, it is not one-to-one and fails to be a bijection.
4. f(x) = x + 1:
This function is a simple linear equation with a slope of 1. It is one-to-one since each input value corresponds to a unique output value. Additionally, the range of the function spans all real numbers, making it onto. Therefore, f(x) = x + 1 is a bijection.
In summary, the functions f(x) = -3x + 4 and f(x) = x + 1 are the bijections among the given options.
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Sofia's batting average is 0.022 higher than Joud's batting average. Joud has a batting average of 0.169.
Answer:
0.191
Step-by-step:
0.022 + 0.169 = 0.191.
Find the value of x in the given figure
Answer:
Step-by-step explanation:
The 2 angles shown are corresponding angles and congruent, hence
23x - 5 = 21x + 5 ( subtract 21x from both sides )
2x - 5 = 5 ( add 5 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
I WILL GIVE BRAINLIEST TO TE CORRECT ANSWER
Two situations are given in the table below.
Drag the words to show which situation is modeled by an expression and which is
modeled by an equation.
Answer:
Matthew drank 4 more glasses of water than Nicole: equation
Four more glasses of water than Nicole: expression
Step-by-step explanation:
We can model "Matthew drank 4 more glasses of water than Nicole" as an equation as follows:
\(m=n+4\)
However, "Four more glasses of water than Nicole" is only an expression. It doesn't include an equality.
supersciencestudy is correct, an equation must include an equality.
How do we determine the area of an a rectangle?
Answer:
accept length
accept breadth
Area=length *breadth
we multiply the length of a rectangle by the width of the rectangle.
Question 12 3 pts If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 2.5 minutes and a standard deviation of 0.75 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes. 0.3085 0.3551 0.6915 0.7475
The probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes is found as `0.7475`. Hence, the option D is correct.
The length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 2.5 minutes and a standard deviation of 0.75 minute.
We are supposed to find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.
So, we need to find `P(x < 3)` where `x` is the time taken to find a parking spot in the library parking lot.
Now, z-score will be
`z = (3 - 2.5)/0.75
= 0.67`
By looking at the z-score table, the probability that corresponds to z = 0.67 is 0.2514.
Therefore,
`P(x < 3) = P(z < 0.67)
= 0.2514 + 0.5
= 0.7514
≈ 0.7475 (approx)`
So, the correct option is `0.7475`. Hence, the answer is option D.
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true or false: mean flash brightness is a parameter whose value varies randomly.
Answer:
False
Step-by-step explanation:
if it helped u please mark me a brainliest :))
Answer:
False
Step-by-step explanation:
if it helped u please mark me a brainliest :))
Dilate the trapezoid using center (-3,4) and scale factor 1/2.
The coordinates of the vertices of the image of the trapezoid are A'(x, y) = (- 4, 1), B'(x, y) = (- 2, 1), C'(x, y) = (- 5 / 2, 5 / 2) and D'(x, y) = (- 7 / 2, 5 / 2).
How to find the image of a trapezoid by dilation
In this question we have a representation of a trapezoid, whose image has to be generated by a kind of rigid transformation known as dilation, whose equation is described below:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]
Where:
O(x, y) - Center of dilationk - Scale factorP(x, y) - Coordinates of the original point.P'(x, y) - Coordinates of the resulting point.If we know that k = 1 / 2, A(x, y) = (- 5, - 2), B(x, y) = (- 1, - 2), C(x, y) = (- 2, 1), D(x, y) = (- 4, 1), O(x, y) = (- 3, 4), then the coordinates of the vertices of the image are:
Point A'
A'(x, y) = O(x, y) + k · [A(x, y) - O(x, y)]
A'(x, y) = (- 3, 4) + (1 / 2) · [(- 5, - 2) - (- 3, 4)]
A'(x, y) = (- 3, 4) + (1 / 2) · (- 2, - 6)
A'(x, y) = (- 3, 4) + (- 1, - 3)
A'(x, y) = (- 4, 1)
Point B'
B'(x, y) = O(x, y) + k · [B(x, y) - O(x, y)]
B'(x, y) = (- 3, 4) + (1 / 2) · [(- 1, - 2) - (- 3, 4)]
B'(x, y) = (- 3, 4) + (1 / 2) · (2, - 6)
B'(x, y) = (- 3, 4) + (1, - 3)
B'(x, y) = (- 2, 1)
Point C'
C'(x, y) = O(x, y) + k · [C(x, y) - O(x, y)]
C'(x, y) = (- 3, 4) + (1 / 2) · [(- 2, 1) - (- 3, 4)]
C'(x, y) = (- 3, 4) + (1 / 2) · (1, - 3)
C'(x, y) = (- 3, 4) + (1 / 2, - 3 / 2)
C'(x, y) = (- 5 / 2, 5 / 2)
Point D'
D'(x, y) = O(x, y) + k · [D(x, y) - O(x, y)]
D'(x, y) = (- 3, 4) + (1 / 2) · [(- 4, 1) - (- 3, 4)]
D'(x, y) = (- 3, 4) + (1 / 2) · (- 1, - 3)
D'(x, y) = (- 3, 4) + (- 1 / 2, - 3 / 2)
D'(x, y) = (- 7 / 2, 5 / 2)
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we assume there is sometimes sunny days and sometimes rainy days, and on day 1, which we're going to call d1, the probability of sunny is 0.9. and then let's assume that a sunny day follows a sunny day with 0.8 chance, and a sunny day follows a rainy day with 0.6 chance. so, what are the chances that d2 is sunny?
Probability of D2 being sunny = 0.78.
On day 1, which is called D1, the probability of sunny is 0.9. It is also given that a sunny day follows a sunny day with 0.8 chance, and a sunny day follows a rainy day with 0.6 chance.
Therefore, we need to find the chances that D2 is sunny.
There are two possibilities for D2: either it can be a sunny day, or it can be a rainy day.
Now, Let us find the probability of D2 being sunny.
We have the following possible cases for D2.
D1 = Sunny; D2 = Sunny
D1 = Sunny; D2 = Rainy
D1 = Rainy; D2 = Sunny
D1 = Rainy; D2 = Rainy
The probability of D1 being sunny is 0.9.
When a sunny day follows a sunny day, the probability is 0.8.
When a sunny day follows a rainy day, the probability is 0.6.
Therefore, the probability of D2 being sunny is given by the formula:
Probability of D2 being sunny = (0.9 × 0.8) + (0.1 × 0.6) = 0.72 + 0.06 = 0.78.
Therefore, the probability that D2 is sunny are 0.78 or 78%.
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6. Ria purchased a car for
$14,775. Sales tax in her
county is 6.8%.
a. What is the total price of
the car including tax?
b. If she puts $2,100 down,
how much will she be
financing?
c. What will her monthly
payment be if the term of
the loan is 72 months with
an APR of 3.5%?
9514 1404 393
Answer:
a) $15,779.70
b) $13,679.70
c) $210.92
Step-by-step explanation:
a) When tax is added, the total cost is ...
total = price × (1 +tax rate)
total = $14,775 × 1.068 = $15,779.70
__
b) The amount financed is the difference between the total cost and the down payment.
financed = total - down35
financed = $15,779.70 -2100 = $13,679.70
__
c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.
A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P
A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is ________ .a. urinaryb. bladderc. fissured. supravesical
The correct option of the given question is option (c) fissure.
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.
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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.
In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.
The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.
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Complete the following sentence.
A radius is the diameter.
In the Mississippi River Delta, fresh water (0% salinity) mixes with salt water from the Gulf of Mexico (3 1 2% salinity). If 1,000 gallons of river water mixes with 3,000 gallons from the Gulf, how many gallons result, and what is its percent salinity? (Estimate a reasonable percent range for your answer before you solve.)
Answer:
The total resulting gallons of water is 4,000 gallons
The concentration of the resulting solution is 2.625% salinity
Step-by-step explanation:
The salinity of the fresh water from the Mississippi River Delta = 0%
The salinity of the water from the Gulf of Mexico = 3 1/2%
Therefore, if 1,000 gallons of river water mixes with 3,000 gallons from the Gulf, we have;
The total resulting gallons of water = 1,000 + 3,000 = 4,000 gallons
The total resulting gallons of water = 4,000 gallons
The concentration of the resulting solution is found as follows;
The concentration of the resulting solution = (3 × 3 1/2)/400 × 100 = 2.625%
The concentration of the resulting solution = 2.625% salinity.
what times what is -11 and adds to positive 10
Answer:
The Answer is 11 and -1
Step-by-step explanation:
This factring unit can be tricky! Think about it this way. A prime number, such as 11 and 7 can only be factored with 1 and their own numbers. so 11 times -1 is 11 plus -1 is 10. Hope this helps and good luck!
What is the minimum value of the objective function, C with given constraints? C=5x+6y ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪2x+y≤83x+4y≤17x≥2y≥1
Answer:
The answer is 16
Step-by-step explanation:
I did the test
Answer:
Answer is 16
I just did the test its right i swear.
Given right triangle ABC. To the nearest tenth of an inch, find the length of side c, the hypotenuse
We know that, the trigonometric relationship -
sin(x) = C.O/ h
where,
C.O = opposite leg
h = hypotenuse
using these values in the equation we have -
sin(20) = 5/c
c = 5/sin(20)
c = 14.61
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Disclaimer : The diagram for the question is attached.
5- ܫ ܐx
.9
Use square roots
How do I determine whether a graph is a function?
Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.
Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.
So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.
On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.
It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.
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strengths and limitations of visually interpreting histograms
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
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A set of one red and one blue light bulb illuminates an otherwise dark room. You pick up a book you know to have a red cover in white light and it still appears to be red. Which of the following statements are true?
- The book cover gets warmer.
- The blue light is absorbed.
- The red light is reflected.
The following statements are true:
The red light is reflected.
The blue light is absorbed.
When white light, which consists of a combination of all visible colors, illuminates the book with a red cover, the red light component in the white light is reflected by the book cover. As a result, we perceive the book to be red since that is the color of light being reflected back to our eyes.
On the other hand, the blue light component in the white light is not reflected by the red book cover. Instead, it is absorbed by the cover, which means the material of the book cover absorbs the blue light and does not reflect it back. Consequently, we do not see the blue light, and the book still appears to be red.
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How do you know if a curve is positive or negative?
Positive curve graphs will be upward-sloping.
Negative curve graphs will be downward-sloping.
Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.
In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
factorization:4x^3-28x-24
Answer:
\(4(x - 3)(x - 1)(x + 2)\)
Step-by-step explanation:
hope it helps uh <3
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
Answer:
120
Step-by-step explanation:
GIVE ME THE BRAINLEST POINTS NOW
Answer:
x = 120
Step-by-step explanation:
All three angles are marked as equal. There are two ways to find x.
Method one
Find the supplement to x
Let the supplement to x be y
y + y + y = 180
3y = 180 Divide by 3
y = 180/3
y = 60
=================
A straight line has an angle of 180 degrees.
x + y = 180 Substitute y = 60 into the equation
x + 60 = 180 Subtract 60
x = 180 - 60
x = 120
Method 2
The two angles not connect to x are called remote interior angles. These two angles are equal to x.
x = 60 + 60
x = 120
Write and solve an equation to find the value of x. Show your work.
(6x+24)
(5x - 30)
(3x-6)
Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.
How many pounds of grapefruits did Eloise buy?
Answer:
6.24 pounds
Step-by-step explanation:
12 x .52 = 6.24 pounds
Answer:
The answer would be 6.24lb
Step-by-step explanation:
I took the k12 test
h(x) = x^2 - 4 - x
g(x) = 3x - 2
Find h(x) division sign g(x)
Answer:
g(x)=x
4
+3x
3
−x
2
−3x
Step-by-step explanation:
A multiple regression model is to be constructed to predict the heart rate in beats per minute (bpm) of a person based upon their age, weight and height. Data has been collected on 30 randomly selected individuals: Heart Rate (bpm) Age (yrs) Weight (lb) Height (in) 77 54 178 63 69 39 138 58 108 57 227 68 88 48 154 64 59 58 154 57 84 59 180 73 62 30 232 71 119 54 242 65 65 38 169 61 62 27 182 66 56 34 208 58 60 31 243 62 81 42 213 74 108 56 205 69 56 56 124 71 89 59 213 65 68 28 209 72 57 23 188 62 107 55 212 59 95 50 221 61 55 48 154 60 110 49 196 61 110 33 250 64 62 29 109 63 90 33 201 74 73 51 121 70 88 55 159 63 59 49 103 66 69 36 214 68 57 34 102 65 a)Find the multiple regression equation using all three explanatory variables. Assume that x1 is age, x2 is weight and x3 is height. Give your answers to 3 decimal places. y^ = + age + weight + height b)At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis is or is not rejected? c)The explanatory variable that is most correlated with heart rate is: age weight height d)The explanatory variable that is least correlated with heart rate is: age weight height e)The value of R2 for this model, to 3 decimal places, is equal to f)The value of s for this model, to 3 decimal places, is equal to g)Construct a new multiple regression model by removing the variable height. Give your answers to 3 decimal places. The new regression model equation is: y^ = + age + weight h)In the new model compared to the previous one, the value of R2 (to 3 decimal places) is: increased decreased unchanged i)In the new model compared to the previous one, the value of s (to 3 decimal places) is: increased decreased unchanged
If the model's p-value is less than 0.05, we rule out the null hypothesis and declare it to be significant.
Using the R software.
R codes : d=read.table('data.csv',header=T,sep=',')
head(d)
attach(d)
fit=lm(Heart.Rate~Age+Weight+Height)
summary(fit)
fit2=lm(Heart.Rate~Age+Weight)
summary(fit2)
R outputs:
> d=read.table('data.csv',header=T,sep=',')
> head(d)
Heart Rate Age Weight Height
1 85 60 201 67
2 102 48 263 59
3 67 58 167 69
4 58 58 109 60
5 75 40 135 62
6 70 27 144 64
> attach(d)
> fit= lm(Heart.Rate~Age+Weight+Height)
> summary(fit)
Call:
lm(formula = Heart.Rate ~ Age + Weight + Height)
Residuals:
Min 1Q Median 3Q Max
-21.1662 -7.9919 0.3377 10.3521 25.4165
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -2.86211 36.23799 -0.079 0.9377
Age 0.45993 0.21595 2.130 0.0428 *
Weight 0.12192 0.04841 2.519 0.0183 *
Height 0.59428 0.50119 1.186 0.2464
Significant codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 13.15 on 26 degrees of freedom
Multiple R-squared: 0.2841, Adjusted R-squared: 0.2015
F-statistic: 3.439 on 3 and 26 DF, p-value: 0.03137
> fit2=lm(Heart.Rate~Age+Weight)
> summary(fit2)
Call:
lm(formula = Heart.Rate ~ Age + Weight)
Residuals:
Min 1Q Median 3Q Max
-26.126 -9.851 1.049 10.328 22.284
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 36.63974 14.36802 2.550 0.0168 *
Age 0.45122 0.21744 2.075 0.0476 *
Weight 0.12065 0.04876 2.474 0.0199 *
Significant codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 13.25 on 27 degrees of freedom
Multiple R-squared: 0.2454, Adjusted R-squared: 0.1895
F-statistic: 4.39 on 2 and 27 DF, p-value: 0.02235
a) Multiple linear regression equation :
y hat = -2.862 + 0.460 X1 + 0.122 x2 + 0.594 x3
b) F = 3.439 on 3 and 26 DF,
p-value: 0.03137
We reject the null hypothesis and determine that the model is significant because the p-value is less than 0.05.
c) Heart rate is highly linked with the variable whose p-value is less than that variable. Heart rate and fluctuating weight are strongly connected in this instance.
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Jamal has a suitcase that contains only 10 white socks. he wants to add enough black socks so that the probability of randomly selecting a white sock is 1/5. how many black socks should jamal add to the suitcase? f. 30 g. 35 h. 40 j. 45 k. 50
40 black socks should be added to the suitcase( i.e., option h )
Let's take x = black socks added by Jamal
Based on the given condition, we have
\(\frac{10}{10 + x}\) = 1/5
Here x ≠ -10
Because to define the fraction, the denominator should not be 0.
Now we need to find the value of x,
\(\frac{10}{10 + x}\) = 1/5
50 = 10 + x
x = 40
Therefore 40 socks should Jamal add to the suitcase.
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