Research has shown that for mammals giving birth to a son versus a daughter places a greater strain on mothers. Does this affect the health of their next child? A study compared the birthweights of humans born after a male versus after a female. Summary statistics for the sample of size 76 are given in the following table; the data were normally distributed. Consider a t test, with a directional alternative, to investigate the research hypothesis that birthweight is lower when the elder sibling is male.
(a) Write the null hypothesis and the alternative hypothesis in symbols.
(b) Here is computer output for the t test. Explain what the P-value means in the context of this study. t -
-2.145, df = 69.54 p-value = 0.0177
(c) If alpha = 0.05 what is your conclusion regarding H_{0}

The probabilities for this problem are given as follows:

1. Blue: 3/10.

2. Yellow then yellow: 1/25.

3. Blue or yellow: 1/2.

4. White then green then green: 2/125.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

Then the probabilities are given as follows:

1. Blue: 15/50 = 3/10.

2. Yellow then yellow: 10/50 x 10/50 = 1/5 x 1/5 = 1/25.

3. Blue or yellow: (15 + 10)/50 = 25/50 = 1/2.

4. White then green then green: 5/50 x 20/50 x 20/50 = 1/10 x 2/5 x 2/5 = 4/250 = 2/125.

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Step-by-step explanation:

A is not proportional

Use the graph to record the value of y axis when x is 1, 2, 3, 4, 5, 6

And record the values of x when y is 1, 2, 3, 4, 5, 6 till the end

Using the graph Value of y

(1, 0.9) (2,1.5) (3,2.2) (4,2.5) (5, 3) (6,4) (7, 5) (10,6)

Using the graph, find the value of x when y is 1 - 10)

1.2, 2.5, 5,.....

The slope of the graph also shows that it is not proportional

B is proportional

X is 0 and y is 0

When x is 5, y is 10

Ratio x: y = 5:10 = 1:2

When x is 10, y is 20

Ratio x:y is 10: 20 = 1:2 same as above

C is not proportional

When Moyra is 32, daughter is 8

When her daughter is 22, Moyra will also be 4years older, which is 36

32: 8 = 4:1

36: 12 =3:1

To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.

To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:

Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).

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Answer:

-399.5

Step-by-step explanation:

You divide, add, then subtract.

Answer:

-399.5

Step-by-step explanation:

100/200 = 0.5

300 + 0.5 = 300.5

300.5 - 700 = -399.5

(actually did math properly this time)

Answer: 4°F

Step-by-step explanation:

8-4=4

In conclusion, 95.4% of students have GMAT scores between 400 and 800.

Calculate z score need to find the proportion of scores that fall within the range of 400 to 800.

\(z=\frac{x- mean}{standard deviation}\)

This formula tells us how many standard deviations away from the mean a given score is.

Given:

Mean= 600

Standard deviation = 100.

For the 400 scores:-

\(z=\frac{400-600}{100} \\z= -2\)

For the 800 scores:-

\(z=\frac{800-600}{100} \\z=2\)

Now we will use the standard normal distribution table to find the percentage of values between -2 and 2.

According to the standard normal distribution table, the percentage of values between -2 and 2 is approximately 95.45%.

Therefore, approximately 95.45% of students have GMAT scores between 400 and 800.

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Would produce market a quantity of 2 and make a profit of $1.

The graph shows the market supply and demand curves for a perfectly competitive firm. If the market price is $3, the firm would be operating at the intersection of the demand curve (D) and the marginal cost curve (MC). At that price, the firm would produce a quantity of 2 and incur a total cost of $2 (the area of the rectangle formed by the marginal cost and quantity). Since the market price is higher than the marginal cost, the firm would make a profit of $1 (the area of the triangle formed by the market price and quantity).

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Answer:

A) 1.3 and C) −2

Step-by-step explanation:

Answer:  This is an acute triangle.  Each of the angles is less than 90°

They are B=60°,  C=70°,  D=50°

Step-by-step explanation:

In an obtuse triangle, one of the angles is greater than 90°

In an equiangular triangle, the angles are all 60°

The points that the program connects to make the last N are (-7, 6), (-7, 8), (-5, 6), and (-5, 8).

The coordinates of the points that form the original N are (1, 0), (1, 2), (3, 0), and (3, 2). We need to perform two transformations as given in the rules. The type of transformations consist of translation operations.

The first rule for the translation is (x, y) → (x + 2, y + 5). The translated points are (3, 5), (3, 7), (5, 5), and (5, 7).

The second rule for the translation is (x, y) → (x - 10, y + 1). The translated points are (-7, 6), (-7, 8), (-5, 6), and (-5, 8).

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Performance measures dealing with the number of units in line and the time spent waiting are called D. operating characteristics.

Operating characteristics are performance measures that provide information about the operational behavior of a system. In the context of queuing theory, operating characteristics specifically refer to measures related to the number of units in line (queue length) and the time spent waiting (queueing time) within a system. These measures help assess the efficiency and effectiveness of the system in managing customer or job arrivals and processing.

The number of units in line is an important indicator of how congested a system is and reflects the amount of work waiting to be processed. By monitoring the queue length, managers can determine if additional resources or adjustments to the system are required to minimize customer wait times and enhance throughput.

Similarly, the time spent waiting, often referred to as queueing time, measures the average or maximum amount of time a customer or job must wait before being serviced. This measure is crucial in assessing customer satisfaction, as excessive wait times can lead to dissatisfaction and potential loss of business.

Operating characteristics provide quantitative insights into these key performance indicators, allowing organizations to make informed decisions regarding resource allocation, process improvements, and service level agreements.

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Answer:

Student=20%

Teacher=80%

Step-by-step explanation:

60/75 x100

= 80

100-80

=20

Answer:

64

Step-by-step explanation:

4^3 is the same as 4x4x4

4x4 = 16

16x4=64

so 4^3 is 64

The penalty on Casey's nonqualified distributions is a) $0.

The penalty on Casey's nonqualified distributions is $74. Casey turned age 65 on May, 2020 and during the year she received distributions from her health savings account (HSA) totaling $728.96. She paid for electrolysis on March 3, 2020. Casey paid $44.87 to her ENT doctor on June 4, 2020, and $315 to her chiropractor in July and August.

Non-qualified distributions from a health savings account (HSA) before the age of 65 are subject to a 20% penalty. This penalty is imposed in addition to the usual taxes on non-qualified distributions. However, once an account holder reaches the age of 65, the penalty no longer applies, but normal taxes are still imposed.

In this case, Casey was 65 years of age in May 2020. Thus, she is not subject to a penalty on any of her HSA distributions. She received $728.96 in HSA distributions over the year. The penalty on her nonqualified distributions is $0.

Therefore, the correct option is a. $0.

Hence, the penalty on Casey's nonqualified distributions is $0.

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Answer:

yes

Step-by-step explanation:

Given

x > - 6

That is if x is greater than - 6 then it is a solution

x ∈ { - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, .... } ← are all valid solutions

Thus 5 is a solution to x > - 6

Answer:

(A)

Step-by-step explanation:

Option A. d=2at^2

720

Plato.

t=√2d/a

12=√2d/10

12²=(√2d/10)²

144=2d/10

2d=(144)(10)

d=1440/2

=720

Yup! Many people find this counter-intuitive at first because they forget that changes in the direction of motion of an object—even if the object is maintaining a constant speed—still count as acceleration.

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Answer:

B. Right angles

Step-by-step explanation:

When perpendicular lines intersect, they create 90° angles (aka right angles)

Answer:

A because we need the amount of time she played soccer for so we need to add the 2 days together

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

because you're already given the hypotenuse "c" and a side length "a"

so

8^2+ y^2=12^2

The period represents how long it takes go from one max to the next max (ie peak to peak). It also represents going from min to min.

======================================================

Explanation:

It reaches the max at 10 seconds, and then it reaches the min at 55 seconds. This is a timespan of 55-10 = 45 seconds. This is exactly half the period. It doubles to 2*45 = 90 seconds. This is the time period between any two points in time when you're at the max height (from one max to the next adjacent max).

So you're at the max height at 10 seconds, then min at 55 seconds, then the max again at 100 seconds. Note how 100-10 = 90.

The period of any trig function is basically telling us when the function or cycle repeats itself. Once we reach the peak again, the ride repeats itself from before.

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Notes:

Answer: No

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

Answer:

no It cant

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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The calculated chi-squared value is [calculated value]. Since the calculated chi-squared value is [greater than/less than/equal to] the tabled chi-squared value of 9.488, we can [reject/fail to reject] the null hypothesis.

To determine whether the number of customers varies by day of the week, we can conduct a chi-squared test. The null hypothesis states that the number of customers coming into the shop is equal for each weekday, while the alternate hypothesis suggests that the number of customers differs by day. To perform the test, we need to calculate the chi-squared value.

First, we calculate the expected frequency for each day by taking the average of the total number of customers over the entire week. For this given week, the expected frequency would be the sum of all the customers (50 + 60 + 40 + 47 + 53) divided by 5, resulting in 50 customers per day. Next, we calculate the chi-squared value by summing up the squared differences between the observed and expected frequencies, divided by the expected frequency for each day. Once we have the calculated chi-squared value, we compare it with the tabled chi-squared value at a given significance level (5%) and degrees of freedom (4). If the calculated chi-squared value is greater than the tabled value (9.488), we can reject the null hypothesis. Conversely, if the calculated chi-squared value is less than or equal to the tabled value, we fail to reject the null hypothesis. By applying the appropriate calculations and comparing the calculated chi-squared value with the tabled chi-squared value, we can determine whether the number of customers actually varies by day of the week.

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Satisfactory internal control reduces the probability of errors or frauds in the accounts.

What functions may a strong internal control system perform?

Why are internal controls necessary?

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Given the square ABCD with points A(5, 10) and B(-4, 3), the slope of the line segment BC is 7/9

The formula for calculating the slope of a line is expressed as:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Given the coordinate point  A(5, 10) and B(-4, 3)

Substituting the given coordinate into the formula for slope

\(m=\frac{3-10}{-4-5}\\m=\frac{-7}{-9}\\m=\frac{7}{9}\)

Hence the slope of the line segment BC is 7/9

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The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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The Sean will take 15 years to become 1/3 years of his grandma's age.

Let us assume it will take x years for Sean to become 1/3 of his grandma's age. So, the equation that will form is -

5 + x = 1/3×59

Performing multiplication and division on Right Hand Side of the equation

5 + x = 19.67

Rearranging the equation

x = 19.67 - 5

Performing subtraction on Right Hand Side of the equation

x = 14.67.

Rounding off the digits to find approximate number of years

x = 15

Hence, Sean will require 15 years to be 1/3 of his grandma's age.

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the cost of making one burrito is the addition of the cost of the meat and the other ingredients:

1.00+1.50=2.50

Then the cost of the burrito is -$2.50

PLEASE MARK ME AS BRAINLIEST

Answer:

The answer is $550

Step-by-step explanation:

Answer:

k < - 11

Step-by-step explanation:

- 3k - 12 > - k + 10 ( add k to both sides )

- 2k - 12 > 10 ( add 12 to both sides )

- 2k > 22

Divide both sides by - 2 , reversing the symbol as a result of dividing by a negative quantity.

k < - 11

Hi!

----------------------------------------------------------------------------------------------------------------

-3k-12>-k+10

-3k+k>10+12

-2k>22

-k>11

Now, when we divide by a negative variable, we change the sign of our inequality:

k<-11

Hope it helps!

~SparklingFlower

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