A study assessing the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) on test performance uses = 10 in each treatment condition. In this study, N = 20
a. 20
b. 10
c. 30
d. 60

1164 [tex]inch^{3}[/tex] is the surface area of a pyramid with a side of 4 inches and a slant height of 6 inches.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area. The sum of the exterior surfaces of a three-dimensional object, or the item's faces, is what determines an object's surface area. The units used for measurement are square.

n order to calculate a pyramid's surface area, we use the formula SA=B+12ps, where B denotes the base's size, p its perimeter, and s its slant height. Since the base is a triangle, we will use the triangle's area formula to determine B.

so area of triangle = 1/2 * base* height = 1/2* 4 *6

area of triangle= 12 [tex]inch^{2}[/tex]

and perimeter of pyramid = 4a = 16 [tex]inch^{2}[/tex]

and surface  area of pyramid = base + 12 * perimeter * slant height

= 12 + 12*16*6

= 1164 [tex]inch^{3}[/tex]  is the area of a pyramid with a side of 4 inches and a slant height of 6 inches.

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Answer:64

Step-by-step explanation:

Answer:

In step 2 you would multiply both sides by 2 not divide by 2

Step-by-step explanation:

1/2w=30

 *2      *2

w=60

Answer:

The mistake is between Step 1 and Step 2.

Step-by-step explanation:

Leon is isolating the variable, w. In this case, he should have multiplied 2 to both sides of the equation to isolate the variable, w.

[tex]2 * (\frac{1}{2})w = 3 * 2\\ w = 3 * 2\\w = 6[/tex]

For the whole question

1) Add 12 to both sides of the equation:

[tex]\frac{1}{2} w - 12 = 18\\\frac{1}{2} w - 12 (+12) = 18 (+12)\\\frac{1}{2} w = 18 + 12\\\frac{1}{2} w = 30[/tex]

2) Multiply 2 to both sides of the equation:

[tex](2 *) (\frac{1}{2}w) = 30 (* 2)\\w = 30 * 2\\w = 60[/tex]

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Answer: x = 56

Step-by-step explanation:

The angle horizontally adjacent from 73 is also equal to 73 due to the triangle being isosceles (the legs are given as equal). Therefore the other angle in that triangle has to be 180 - (73*2) = 34. This angle is a part of the 90 degree angle that is noted in the figure. The other part of that angle must be 90 - 34 = 56. Since this angle is in another isosceles triangle, the angle horizontally adjacent to it must also be 56. x is equal to this angle by definition of vertical angles, so x = 56.

If the angle between two vectors is represented by theta and it is equal to zero or 180 degrees then the following angles would mean the vectors are parallel .

Given :

if the angle between two vectors is represented by , tell if the following angles would mean the vectors are orthogonal, parallel or neither.

if two vectors points are given then find the dot product of vectors if the result is equal to zero then the two vectors are orthogonal vectors .

If they were parallel the angle would be 0 or 180 degrees, therefore, the two vectors are not parallel.

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The value of line integral is 1/2 .

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

[tex]\int\limits^1_0 {L(x,y)} \, dx + M(x,y)dy =\int\limits^1_0 \int\limits^0_1 {(Mx- Ly)} \, dx\, dy[/tex]

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

Mx(x,y) = d/dx 8x²y = 16xy

Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line integral is equal to the double integral

[tex]\int\limits^1_0 \int\limits^0_1 {2xy} \, dx\, dy[/tex]

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

[tex]\int\limits^1_0 \int\limits^0_1 {2xy} \, dx\, dy = \int\limits^1_0 {x^{2}y \left \{ {{1} \atop {0}} \right. } \, dy =\frac{y^{2} }{2} \left \{ {{1} \atop {0}} \right. } = \frac{1}{2}[/tex]

We conclude that the line integral is 1/2

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The value of the expression; 6 × 10 + 4³ as given in the task content is; 124.

It follows from the task content that the value of the expression given in the task content; 6 × 10 + 4³ is to be determined.

Hence, the value of the expression can be evaluated using PEMDAS guidelines as follows;

Since the given expression is;

6 × 10 + 4³

Since the exponent, so that we have;

6 × 10 + 64

Next, solve the multiplication, so that we have;

60 + 64

= 124.

On this note, the value of the expression is; 124.

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The ratio of outputs for any two inputs that are one value apart 2 .

A ratio is an ordered pair of numbers a and b, written a / b. where b is not zero. A ratio is an equation that equates two ratios. For example, if you have one boy and her three girls, the ratio can be written as: 1:3 (3 girls for 1 boy). A ratio is the  comparison of the  two numbers by division.

Taking the first two outputs, or the  -1/8 and -1/4, we can divide not the second one by the first one to find the

ratio:

-1/4-1/8

When dividing fractions, we multiply by the reciprocal:

-1/4x-8/1

To multiply fractions, multiply straight across:

(-1x-8)/(4x1) 8/4=2

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According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic.

The value of the test statistic is z = 1.65.

The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.

Average of 0.48 in 25 at bats,

Test if there was improvement:

At the null hypothesis :

[tex]H_0 : P_1 - P_2 = 0[/tex]

At the alternative hypothesis:

[tex]H_1 : P_1 - P_2 > 0[/tex]

The p-value of the test is the probability of finding a difference of at least 0.19, which is 1 subtracted by the p-value of z = 1.65.

Looking at the z-table, z = 1.65 has a p-value of 0.9505.

1 - 0.9505 = 0.0495.

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POLYGON

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit.

TYPES OF POLYGON

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The maximum profit is maximized 70 of product A and 20 of product B are produced.

The objective function:

The profit is 50 for each product A and 60 for each product B:

P = 50A + 60B

The machine 1 constraint:

2 minutes for each product A and 3 minutes for each product B; 200 total minutes available:

2A+3B ≤  200

The machine 2 constraint:

4 minutes for each product A and 1 minute for each product B; 300 total minutes available:

4A+B ≤  300

The production constraints:

At least 8 of product A and at least 10 of product B:

A ≥  8

B ≥  10

2A+3B=200

4A+B=300

4A+6B=400

5B=100

Divide

B = 100 / 5

B=20

Also, A=70

The units are 70 and 20 respectively.

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Answer: 10.4166

Step-by-step explanation:

6 2/3= (18+2)/3= 20/3

3 3/4= (12+3)/4=15/4

6 2/3 + 3 3/4=(20/3)+(15/4)

                      =125/12

                      =10.4166

Answer:

[tex]10\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\sf6\frac{2}{3} +3\frac{3}{4}[/tex]

First, write the above fractions as improper fractions.

[tex]\sf\frac{20}{3} +\frac{15}{4}[/tex]

To solve the fractions you have to make the denominators of the fractions the same.

For that, we have to multiply both the numerator and denominator of the fractions (20/3) by 4 and (15/4) by 3.

Let us solve it now.

[tex]\sf\frac{20}{3} +\frac{15}{4}\\\\\sf\frac{20*4}{3*4} +\frac{15*3}{4*3}\\\\\frac{80}{12}+\frac{45}{12}\\\\\frac{125}{12}[/tex]

And now let us write the answer as a mixed number.

[tex]10\frac{5}{12}[/tex]

The linear equation representing the relationship between the number of paving stones left for Gerald to place, y, and the time, x, Gerald has spent working is 5x + y = 55.

A linear equation is always in the form of y = ax + b, where a is the slope and b is the y-intercept.

The slope, a, is given as (y2 - y1)/(x2 - x1).

(0, 55), (3, 40), and (7, 20)

Taking (3, 40) and (7, 20), the slope is determined as follows:

7 - 3 = 4

20 - 40 = -20

-20/4

= -5

In standard form, the linear equation is 5x + y = 55.

Thus, based on the linear equation above, we can conclude that the more time Gerald spends playing with the paving stones, the fewer stones he has to place.

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42 pounds has a weight of clothing to weight to dye different from the other ratios

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another

The ratio weight of clothing to the weight of dye will be:

For 21 and 3:

21:3 = 7: 1

For 42 and 9:

42:9 = 14: 3

For 84 and 12:

84:12 = 7: 1

For 105 and 15:

105:15 = 7: 1

Thus, 42 pounds is different from the other ratios

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The solution is 194, rounded to the closest whole number. Thus, x2≈194. In light of this, the weight ranges for raisin bags that require new packaging are less than 157 grams and also more than 194 grams.

A statistic called the standard deviation describes how much variation or dispersion there is in a set of statistics .In contrast to a high standard deviation, which shows that the values are spread out, a low standard deviation suggests that the values tend to be close to the mean of the collection. out over a wider range.

Here,

In this instance, the standard deviation is 11 and the mean is 175. Assume that x1 is the heaviest weight at which the bags fall into the lower 5% and x2 is the lightest weight at which they fall into the upper 4.5%. 5% of the time, and 4.5% of the time, the likelihood is below x1 and above x2. The raisin bags should fall below x1 and above x2 if they need to be repackaged. The points x1 and x2 are illustrated in the image below.

1 x 0.045 x 0.05 = 0.905 is the probability between x1 and x2. Below is a picture of the normal distribution curve for raisins bag weights.

To calculate x1 and x2, locate x1 first. To the left of x1, there is a 0.05 probability. To find x1, use Excel. 1. Start Excel. Toggle a cell that is empty. Press ENTER after typing =NORM.INV(0.05,175,11).

The answer is 157, rounded to the nearest whole number. Thus, x1≈157. To compute x2, use the formula 0.05+0.905=0.955 for the probability to the left of x2. To determine x2, use Excel. Start Excel. Toggle a cell that is empty. Enter the command =NORM.INV(0.955,175,11).

The solution is 194, rounded to the closest whole number. Thus, x2≈194. In light of this, the weight ranges for raisin bags that require new packaging are less than 157 grams and also more than 194 grams.

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The value of the standard deviation does not change and remains the same.

Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.

The mean μ = 82.4

The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]

we have to find the variance,

We now add a constant k to each data value and calculate the new mean μ'.

μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k

We now calculate the new mean standard deviation σ'.

σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]

Note that x + k - μ' = x + k - μ - k = x - μ

also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ

Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ

If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.

Hence, the standard deviation does not change.

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The scenario that describes a pattern of exponential decay is option (D) i.e, an elimination chess tournament has half the number of players on each successful round.

What is Exponential Decay ?

     Where, N is the quantity

                  λ (lambda) is a positive rate called the exponential decay  constant, disintegration constant, rate constant, or transformation constant.

Hence, the answer is option(D) i.e, an elimination chess tournament has half the number of players on each successful round.

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Everything else is being equal, but we prefer an unbiased estimator mostly compare to a biased estimator because a biased estimator may be used for a variety of reasons, such as the difficulty of computing an unbiased estimator (as in the case of estimating standard deviation).

The fact that a biased estimator may be unbiased with respect to different measures, and the fact that an unbiased estimator does not exist without further assumptions about a population. Thus, it's miles scientifically now no longer accurate to apply a biased estimator for a parameter while there may be an independent estimator for it.

Only in unavoidable situation, it's miles cautioned to apply a biased estimator (which need to be consistent) for a parameter while there may be no independent estimator for it. It could be anticipated that a terrific estimator need to bring about an estimate this is near the real cost of the parameter. Because in exercise the parameters are unknown, it isn't always viable to evaluate the estimate with the real cost. Unbiasedness serves as a degree of closeness among an estimator and the parameter.

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Answer: plants are same height in 30 days;  Plant A is tallest in 6 weeks

Step-by-step explanation:

x =  number of days

4 + (2/3)x = 9 + (1/2)x

(2/3)x - (1/2)x = 9 - 4

(1/6)x = 5

x = 30, number of days for Plant A and Plant B to be same height.

6 wks = 42 days

Plant A in 42 days:  4 + (2/3)(42) = 32 inches

Plant B in 42 days:  9 + (1/2)(42) = 30 inches

The likelihood of this question will be determined as P( E | ~H)=1 - P(E|H).

For independent events the probability P( E | H ) is calculated as:

P( E | H ) = P( E ) * P( E and H)

P( E and H) = P(E) * P(H).

Since the event E has already happened and is obvious, if P(E | H)>P(E | H) then the event E is dependent on the mind of maya, but if P(E | H)>P(E | H) then the event E is not dependent on the mind of maya.

In our situation, P(E | H), which means that the plane crushing is independent of Maya's thoughts, is the probability that will suit this argument.

Since it is illogical to claim that Maya can perceive far-off objects with her mind, the likelihood of this question will be determined as P( E | ~H ) = 1 - P( E | H ).

For independent events the probability P( E | H ) is calculated as

P( E | H ) = P( E ) * P( E and H)

P( E and H) = P(E) * P(H).

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Since, Z(0)>Z(0.1) that is 3.07>1.28. So reject H(0). So the option 1 and 3 is correct.

In the given question,

H(0): μ=18 ; H(a): μ>18

x = 19.1

Conclude whether to reject or not reject H(0), and interpret the results.

σ = 1.6

α  = 0.1 (significance level) .

The test statistic is

Z(0) = {x-μ(0)}/(σ/√n)

Z(0)= (19.1-18)/16/√20

Z(0) = 3.07

The critical value is Z(0.1) = 1.28.

As we can see that;

Z(0)>Z(0.1) that is

3.07>1.28

So reject H(0).

So the option 1 and 3 is correct.

Reject H(0), the test statistic Z(0)=3.07 is Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

And

The test statistic falls within the rejection region.

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The right question is:

Select two responses below.

Select all that apply:

(1) Reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(2) Fail to reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(3) The test statistic falls within the rejection region.

(4) The test statistics is NOT in the rejection region.

The regression equation y=0.37x+62.5 predicts statistics performance based on math aptitude scores, with a strong positive correlation and 65.1% of the variation explained.

a. The regression equation that best predicts statistics performance, based on math aptitude scores is y = 0.37x + 62.5, where y is the statistics grade and x is the math aptitude test score.

b. The significance of a is the intercept of the regression line, which is the predicted value of the statistics grade when the math aptitude score is 0. The significance of b is the slope of the regression line, which indicates the amount of change in the statistics grade for a unit change in the math aptitude score.

c. If a student scored an 80 on the aptitude test, the estimated statistics grade would be 79.5.

d. The standard error of the estimate is 6.36. This indicates the average amount of error between the observed values and the predicted values.

e. The coefficient of correlation is 0.807 and the coefficient of determination is 0.651. The coefficient of correlation indicates a strong positive linear relationship between the math aptitude scores and statistics grades. The coefficient of determination indicates that 65.1% of the variation in statistics grades is explained by the math aptitude scores.

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Answer:

it is using the Pythagorean theorem its basically a^2 + b^2 = c^2 watch videos on it, it will explain better

The exponential decay formula is f(x) = abx, where b stands for the decay factor. The decay rate in the exponential decay function is specified as a decimal.

At regular intervals, the sum steadily declines by a specified percentage. This decline in growth is calculated using the exponential decay formula. The general form of f(x) is f(x) = a (1 - r)x. Where, a = The starting point, decay rate = r, x = length of time.

When we need to make rapid calculations in a generic way, the exponential growth and decay calculator comes in handy. However, you should not use it frequently as it may slow down your ability to answer issues through math. To improve your comprehension, you must practice word problems with exponential growth and decay on paper.

The exponential decay formula is f(x) = abx, where b stands for the decay factor. The decay rate in the exponential decay function is specified as a decimal. A percentage is used to represent the degradation rate. Simply decreasing the percent and dividing it by 100 yields the decimal equivalent. The decay factor b = 1-r can therefore be calculated.

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Answer:

5:8

Step-by-step explanation:

Answer:

1 milk and 2 oats

Step-by-step explanation:

milk to oats show that milk is first followed by oats and since 1 is first it is 1 milk and 2 oats

A hypothesis is a tested statement regarding the relationship between two or more variables or a proposed explanation for some observable occurrence.

An complete group is referred to as a population when making inferences about it.

Your chosen group for data collection is referred to as a sample. Always, a sample's size is smaller than the population as a whole.

Using a statistical test, researchers compare the evidence supporting the null and alternative hypotheses, which are two conflicting claims:

There is no population impact, or null hypothesis (H0).

There is a population effect, or alternative hypothesis (Ha or H1).

No effect, no difference, or no association are all examples of null hypotheses. They always have an equivalence when expressed in mathematical terms.

The complement of the null hypothesis is the alternative hypothesis. The extensive nature of null and alternative hypotheses ensures that they account for all potential outcomes.

The question is incomplete so, I've answered in general

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Answer:

43 Is half

Step-by-step explanation:

86/2=43

I need you to promise me you will do good on the homework

The inequality we want to write is:

100 + W*50 ≥ 1800

And its graph can be seen in the image at the end.

We know that you start the game with 100 points and you get 50 extra for each word you make.

So, if you make W words, the total number of points that you get is:

100 + W*50

And that must be equal to or larger than 1,800, so we can writ the inequality:

100 + W*50 ≥ 1800

To solve it, we can isolate W.

100 + W*50 ≥ 1800

W*50 ≥ 1800 - 100

W ≥ 1700/50

W ≥ 34

So the number line is a point on W = 34 and a line that extends to the right, like the one below.

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a) 1 m = 100 cm.

0.05 m = 0.05×100

= 5 cm

b) 1000 gm = 1kg

50 = 50/1000

= 0.05 kg

c) 1000000 mm = 1 km

25 = 25/1000000

= 0.0000025 km

Hope understands.