Can someone please help me I’m stuck

Can Someone Please Help Me Im Stuck

Answers

Answer 1

Answer:

The answer is the first option. ΔRED ~ ΔTAN

Step-by-step explanation:

This is because the letters should be in the same order. Notice how T and R are in the same spots so are E and A, as well as D and N.


Related Questions

What is the solution y=-2x+4 and y=x-2

Answers

Answer:

Look below

Step-by-step explanation:

Graph g(x)=-2|x-5|-4

Answers

Answer:

Step-by-step explanation:

The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 top-ranking restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving on a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with the restaurants have told you that the meal cost at 5 of the restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner.

Required:
a. What is the probability that none of the meals will exceed the cost covered by your company?
b. What is the probability that one of the meals will exceed the cost covered by your company?
c. What is the probability that two of the meals will exceed the cost covered by your company?
d. What is the probability that all three of the meals will exceed the cost covered by your company?

Answers

Answer:

a. P(x=0)=0.2967

b. P(x=1)=0.4444

c. P(x=2)=0.2219

d. P(x=3)=0.0369

Step-by-step explanation:

The variable X: "number of meals that exceed $50" can be modeled as a binomial random variable, with n=3 (the total number of meals) and p=0.333 (the probability that the chosen restaurant charges mor thena $50).

The probabilty p can be calculated dividing the amount of restaurants that are expected to charge more than $50 (5 restaurants)  by the total amount of restaurants from where we can pick (15 restaurants):

[tex]p=\dfrac{5}{15}=0.333[/tex]

Then, we can model the probability that k meals cost more than $50 as:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{3}{k} 0.333^{k} 0.667^{3-k}\\\\\\[/tex]

a. We have to calculate P(x=0)

[tex]P(x=0) = \dbinom{3}{0} p^{0}(1-p)^{3}=1*1*0.2967=0.2967\\\\\\[/tex]

b. We have to calculate P(x=1)

[tex]P(x=1) = \dbinom{3}{1} p^{1}(1-p)^{2}=3*0.333*0.4449=0.4444\\\\\\[/tex]

c. We have to calcualte P(x=2)

[tex]P(x=2) = \dbinom{3}{2} p^{2}(1-p)^{1}=3*0.1109*0.667=0.2219\\\\\\[/tex]

d. We have to calculate P(x=3)

[tex]P(x=3) = \dbinom{3}{3} p^{3}(1-p)^{0}=1*0.0369*1=0.0369\\\\\\[/tex]

Which statement implies that A and B are independent events?
O A. P(B|A)= P(B and A)
OB.P(B|A)= P(B)
P(A)
OC. P(B|A)= P(A)
OD. P(B|A)= P(B)

Answers

Answer:

Option B

Step-by-step explanation:

When A and B are independent events:

P(A and B) = P(A) * P(B)

OR

P(A|B) = P(A) * P(B)

You are building a model sailboat. The plans show that the base of the main sail is 9 cm, the bottom acute angle in the sail is 52°, and the distance between the base of the sail and the deck is 2 cm. What is the height of the mast? a. 12.5 cm b. 11.2 cm c. 13.5 cm d. 11.5 cm

Answers

Answer:

c. 13.5 cm

Step-by-step explanation:

In the right triangle formed by the main sail.

Using the trigonometric function

[tex]\tan \theta =\dfrac{\text{Opposite}}{\text{Adjacent}} \\\tan 52^\circ =\dfrac{x}{9} \\x=9 \times \tan 52^\circ\\x=11.52$ cm[/tex]

Therefore:

Height of the mast = 2+11.5=13.5 cm

The height of the mast is 13.5 cm.

Please answer this correctly

Answers

Answer:

There are 10 teams.

Step-by-step explanation:

Given that the question wants at least 48 swimmers so any numbers above 47 are counted.

In this diagram, there are 10 teams consisting 48 swimmers and above, 48, 52, 53, 63, 76, 79, 82, 84, 85 and 86.

Answer:

10 teams have 48 or more swimmers.

Step-by-step explanation:

If we look at stem 4 there is one team with 48 members.

So counting from there we  have:

1 + 2 + 1 + 2 + 4

= 10 teams.

Christian Iris and Morgan each get an equal share of 1/2 of pizza which model represent the fraction of the ​pizza each person gets

Answers

Answer:

CICI

Step-by-step explanation: NO cici

Christian, Iris and Morgan each get an equal share of 1/2 of the pizza and the model 1/6 represent the fraction of the ​pizza each person gets.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Christian, Iris and Morgan each get an equal share of 1/2 of the pizza.

To find the fraction of the ​pizza each person gets:

Divide the amount of pizza by the number of people.

There are 3 people and 1/2 pizza.

The fraction of the pizza each person gets

= The amount of pizza / number of people

The fraction of the pizza each person gets

= (1/2) / 3

Simplifying into multiplication,

The fraction of the pizza each person gets = 1/2 x 1/3

The fraction of the pizza each person gets

= 1/(2x3)

= 1/6

Therefore, the model that represents the requirement is 1/6.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ5

The product of Holly's savings and 3 is 39.
Use the variable h to represent Holly's savings.

Answers

Answer:

3h = 39

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Translate this sentence into an equation. The product of Holly's height and 3 is 39. Use the variable h to represent Holly's height.

Let holly's savings be h. If the  product of Holly's savings and 3 is 39, this can be represented mathematically as h*3 = 39

To get holly's savings "h', we will divide both sides of the equation by 3

h*3 = 39

h*3/ 3= 39/3

h = 13*3/ 3

h = 13 * 3/3

h = 13*1

h = 13

Holly's savings is 13 and the required equation is 3h =39

Plot the point (5, 5). Using a line tool, create AB with a length of 4 units from point A. Turn on the trace feature at point B, and move point B
around point A. keeping the length of AB fixed.

Answers

Answer:

Step-by-step explanation:

Plotting a point A and tracing a point B at 4 units from A results in a circle.

▪The locus of a point at equal distance from a fixed point is a circle.

▪Point A is (5,5) and length of AB is 4 units

This implies that the radius of circle is 4 units.

▪The point B can be swirled around A keeping the distance AB constant.

▪The resulting figure is a circle.

▪This circle is plotted and attached below.

I hope this helped. I am sorry if you get it wrong

Answer:

This is the right answer for Edementum and Plato users

Like and Rate!

Suppose that the function g is defined, for all real numbers, as follows.


Answers

Answer:

g(-5) = 2

g(0) = -2

g(1) = 2

Step-by-step explanation:

g(-5) satisfies x <-2, since -5 is less than -2.

g(0) satisfies -2≤x≤1 since 0 is greater than 2 but less than 1. When we plug in 0 into (x+1)^2 -2, we get -2.

g(1) satisfies -2≤x≤1 since it says that x is less than OR EQUAL TO 1. We then plug in 1 into (x+1)^2 -2 and get 2.

What is the area of the trapezoid below? Select one: a. 88 cm2 b. 44√3 cm2 c. 65 cm2 d. 36√3 cm2

Answers

Answer: D

Step-by-step explanation:

Since we are not given the height of the trapezoid, we can split this into a triangle and a rectangle. We find the area of each and then add them together. In order to do so, we must use Pythagorean Theorem to find the missing length so that we can find the area.

a²+b²=c²

a²+4²=8²

a²+16=64

a²=48

a=√48

a=4√3

Now that we know the missing length of the triangle, we can find the area of the triangle and the rectangle.

Triangle

A=1/2bh

A=1/2(4)(4√3)

A=8√3

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

Rectangle

A=lw

A=7(4√3)

A=28√3

With our areas, we can add them together.

4√3+28√3=36√3 cm²

A driver travels a distance of 119 miles between 09:50 and 11:35. Work out the average speed of the driver

Answers

Answer:

68 miles per hour.

Step-by-step explanation:

The time taken for the driver to drive 119 miles is 105 minutes.

The average speed is equal to distance divided by the time taken.

105 minutes is equal to 1.75 hours.

[tex]S=119/1.75[/tex]

[tex]S =68[/tex]

The driver's average speed is 68 miles per hour.

Answer:

Speed = 68 mph

Step-by-step explanation:

Given:

Distance = 119 miles

Time = 1 hour 45 minutes = 1.75 hours

Required:

Speed = ?

Formula:

Average Speed = Total Distance Covered / Total Time Taken

Solution:

Speed = 119/1.75

Speed = 68 mph

Jaden had 2 7/16 yards of ribbon. He used 1 3/8 yards of ribbon to make a prize ribbon. How much does he have now?

Answers

EASY!

Answer: 17/16 or 1 1/16

Step-by-step explanation:

BRO IT'S ELEMANTARY FRACTIONS!!!!

If a/b = c/d, which of the following is not true?

1) ad=bc
2) a/c=b/d
3) a+b/b=c+d/d
4) a/d=c/b
5) b/a=d/c

Answers

Answer:

Option 4 is not true

Step-by-step explanation:

[tex]\frac{a}{b}=\frac{c}{d}\\\\[/tex]

1)Cross multiply,

ad = bc

So, true

2) a/ c = b/d also true

3) a+b/b = c+d/d  also true

For example:

[tex]\frac{1}{4}=\frac{2}{8}\\\\\frac{1+4}{4}=\frac{2+8}{8}\\\\\frac{5}{4}=\frac{10}{8}\\\\[/tex]

When simplifying 10/8, it is 5/4.

5) b/a = d/c is also true

Seven new employees, two of whom are married to each other, are to be assigned seven desks that are lined up in a row. If the assignment of employees to desks is made randomly, what is the probability that the married couple will have adjacent desks

Answers

Answer:

2/7

Step-by-step explanation:

Seven employees can be arranged in 7! ways. n(S) = 7!

Two adjacent desks for married couple can be selected in 6 ways viz.,(1, 2), (2, 3), (3,4), (4, 5), (5,6),(6,7).

This couple can be arranged in the two desks in 2! ways. Other five persons can be arranged in 5! ways.

So, number of ways in which married couple occupy adjacent desks

= 6×2! x 5! =2×6!

so, the probability that the married couple will have adjacent desks

[tex]\frac{n(A)}{n(s)} =\frac{2\times6!}{7!} \\=\frac{2}{7}[/tex]

Carpetland salespersons average $8000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson.a. Develop the appropriate null and alternative hypotheses.: - Select your answer -: - Select your answer -b. In this situation, a Type I error would occur if it was concluded that the new compensation plan provides a population mean weekly sales - Select your answer - when in fact it does not.What are the consequences of making this error

Answers

Answer:

The null and alternative hypothesis are:

[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0[/tex]

where μ1 is the population mean sales with compensation plan, and μ2 is the populatiojn mean sales without compensation plan.

A Type I error is made when a true null hypothesis is rejected. In this case, it would be concluded that the compensation plan increases sales, when in fact it does not (at least, not significantly).

The consequences of this error would be that the compensation plan would have evidence to be implemented in the company when in fact it will not bring the results it is expected to have.

Step-by-step explanation:

This hypothesis test will test the claim that the compensation plan increases the average sales per salesperson. This claim will be stated in the alternative hypothesis, and will state that, with the compensation plan, the sales are significantly higher than without the compensation plan.

The null hypothesis, that Steve wants to falsify, will state that the sales will not differ with or withour compensation plan.

We can write this hypothesis as:

[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0[/tex]

where μ1 is the population mean sales with compensation plan, and μ2 is the populatiojn mean sales without compensation plan.

A Type I error is made when a true null hypothesis is rejected. In this case, it would be concluded that the compensation plan increases sales, when in fact it does not (at least, not significantly).

The consequences of this error would be that the compensation plan would have evidence to be implemented in the company when in fact it will not bring the results it is expected to have. The sales would be expected to increase due to this implementation, and they will not increase, at least, not for the compensation plan.

The probability that a person in the United States has type B​+ blood is 12​%. Three unrelated people in the United States are selected at random. Complete parts​ (a) through​ (d). ​(a) Find the probability that all three have type B​+ blood. The probability that all three have type B​+ blood is nothing. ​(Round to six decimal places as​ needed.)

Answers

Answer:

The probability that all three have type B​+ blood is 0.001728

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that a person in the United States has type B​+ blood is 12​%.

This means that [tex]p = 0.12[/tex]

Three unrelated people in the United States are selected at random.

This means that [tex]n = 3[/tex]

Find the probability that all three have type B​+ blood.

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.12)^{3}.(0.88)^{0} = 0.001728[/tex]

The probability that all three have type B​+ blood is 0.001728

A researcher predicts that listening to music while solving math problems will make a particular brain area more active. To test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percentage signal change of 58. From many previous studies with this same math problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with a mean of 35 and a standard deviation of 10. (a) Using the .01 level, what should the researcher conclude

Answers

Answer:

As the P-value (0.0107) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that listening to music while solving math problems will make a particular brain area more active.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that listening to music while solving math problems will make a particular brain area more active.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=35\\\\H_a:\mu> 35[/tex]

The significance level is 0.01.

The sample has a size n=1.

The sample mean is M=58.

The standard deviation of the population is known and has a value of σ=10.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{1}}=10[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{58-35}{10}=\dfrac{23}{10}=2.3[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>2.3)=0.0107[/tex]

As the P-value (0.0107) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that listening to music while solving math problems will make a particular brain area more active.

If the rectangular menu is 3 feet long by 2 feet wide, what is the area of the menu?

Answers

Answer:

Step-by-step explanation:

Area of rectangular menu

Length × breadth

3×2=6sq feet

Answer:

6 ft^2

Step-by-step explanation:

area of rectangle = length * width

area = 3 ft * 2 ft

area = 6 ft^2

Graph the function f(x) = 21(0.5)x.

Answers

Answer:

is m= 10.5 espero que te ayude

Halfway through the​ season, a soccer player has made 15 penalty kicks in 19 attempts. Based on her performance to​ date, what is the relative frequency probability that she will make her next penalty​ kick?

Answers

Answer:

[tex]\dfrac{15}{19}[/tex]

Step-by-step explanation:

The soccer player so far has made 15 penalty kicks in 19 attempts.

Therefore:

Total Number of trials =19

Number of Successes =15

Therefore, the relative frequency probability that she will make her next penalty​ kick is:

[tex]=\dfrac{\text{Number of Successes}}{\text{Total Number of Trials}} \\=\dfrac{15}{19}[/tex]

Please answer this correctly

Answers

Answer:

9 people

Step-by-step explanation:

37, 39, 41, 46, 61, 63, 69, 77, 80

9 people waited more than 36 minutes.

Based on a​ poll, 40​% of adults believe in reincarnation. Assume that 6 adults are randomly​ selected, and find the indicated probability. Complete parts​ (a) through​ (c) below.
a. What is the probability that exactly 5 of the selected adults believe in​ reincarnation? Round to 3 decimal places.
b. What is the probability that all of the selected adults believe in​ reincarnation?
c. What is the probability that at least 5 of the selected adults believe in​ reincarnation?

Answers

Answer:

a. 3.686 %

b. 0.41 %

c. 4.096%

Step-by-step explanation:

We make use of the binomial probability equation, which is as follows:

P = [n! / (n - r)! r!] p ^ r * q ^ (n - r)

where,

n total number samples = 6

r is the selected number, depends on each point (a, b, c)

p is the of believing in reincarnation = 0.40

q = 1 - p = 0.60

to. What is the probability that exactly 5 of the selected adults believe in reincarnation?

So we use r = 5

P = [6! / ((6 - 5)! * 5!)] * [0.40 ^ 5 * 0.60 ^ (6 - 5)]

P = 6 * 0.006144

P = 0.0368 = 3.686%

b. What is the probability that all of the selected adults believe in reincarnation?

So we use r = 6

P = [6! / ((6 - 6)! * 6!)] * [0.40 ^ 6 * 0.60 ^ (6 - 6)]

P = 1 * 0.004096

P = 0.004096 = 0.41%

c. What is the probability that at least 5 of the selected adults believe in reincarnation?

So we use r = 5 to 6

P (r = 5) = [6! / ((6 - 5)! * 5!)] * [0.40 ^ 5 * 0.60 ^ (6 - 5)]

P (r = 5) = 6 * 0.006144

P (r = 5) = 0.0368 = 3.686%

P (r = 6) = [6! / ((6 - 6)! * 6!)] * [0.40 ^ 6 * 0.60 ^ (6 - 6)]

P (r = 6) = 1 * 0.004096

P (r = 6) = 0.004096 = 0.41%

The total is the sum of all:

P (total) = 3.686% + 0.41%

P (total) = 4.096%

I'm lost with this problem please help. Write answers as a fractions

Answers

Answer: 8/3 and -9/4

Step-by-step explanation:

1. [tex]\frac{2^{3}}{3} = \frac{2 * 2 * 2}{3} = \frac{8}{3}[/tex]

2. In this problem, when raising a whole fraction to a power, you must both raise the numerator and denominator to that power.

[tex]-(\frac{3}{2})^2 = -(\frac{3^2}{2^2}) = -(\frac{9}{4}) = -\frac{9}{4}[/tex]

the answer is 8/3 -9/4 hope this helped

How did the temperature change if: at first it increased by 25 % and then decreased by 40% ?

Please help!!

Answers

Answer:

At first it increases by 25%, then you have 1.25x the original temp. A drop of 40% gives you .6 x 1.25, or 75% of the original temperature

Step-by-step explanation:

found that on the web for yuh. I really hope it helped.

Answer:

decreased by 25%

Step-by-step explanation:

At many golf​ clubs, a teaching professional provides a free​ 10-minute lesson to new customers. A golf magazine reports that golf facilities that provide these free lessons​ gain, on​ average, ​$2 comma 1002,100 in green​ fees, lessons, or equipment expenditures. A teaching professional believes that the average gain is notis not ​$2 comma 1002,100. Complete parts a through c below. a. In order to support the claim made by the teaching​ professional, what null and alternative hypotheses should you​ test? Upper H 0H0​: muμ equals= ​$2 comma 1002,100 Upper H Subscript aHa​: muμ not equals≠ ​$2 comma 1002,100 b. Suppose you select alphaαequals=0.100.10. Interpret this value in the words of the problem. The probablility that the null hypothesis is rejected when the average gain is less than ​$2 comma 1002,100 is

Answers

Answer:

Given:

Mean, u = 2100

A golf magazine reports the mean gain to be $2100, while the teaching professional believes the average gain is not $2100.

Here the null and alternative hypotheses would be:

Null hypothesis:

H0: u = 2100

Alternative hypothesis:

Ha: u ≠ 2100

b) Here, given the level of significance,[tex] \alpha [/tex] as 0.10. This means that:

The probability that the null hypothesis H0 is rejected when average gain is $2100 is 0.10


Calculate the interest produced by a principal of $ 4,500 at 5% annual simple interest in 8 months.

Answers

Answer:

4,500 x 5 = 22,500

4,500 divided by 5 = 900

4,500 plus 5 = 4,505

4,500 minus 5 = 4,495

Step-by-step explanation:

it is either one of those that u have to choose from good luck

What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? a.20 b.32 c.44 d.48

Answers

Answer:

C. 44

Step-by-step explanation:

[tex] \frac{1}{2} m - \frac{3}{4} n = 16 \\ \\ \frac{1}{2} m - \frac{3}{4} \times 8 = 16..( plug \: n = 8) \\ \\ \frac{1}{2} m - 3 \times 2 = 16 \\ \\ \frac{1}{2} m - 6 = 16 \\ \\ \frac{1}{2} m = 16 + 6 \\ \\ \frac{1}{2} m = 22 \\ \\ m = 22 \times 2 \\ \\ m = 44[/tex]

The value of m in the given equation is equal to 3.

Given the following data:

n = 8

To find the value of m in the given equation:

How to solve a word problem.

In this exercise, you're required to determine the value of m in the given equation. Thus, we would translate the word problem into an algebraic equation.

[tex]\frac{1}{2m} -\frac{3}{4n} =16[/tex]

Substituting the value of n in the equation, we have;

[tex]\frac{1}{2m} -\frac{3}{4(8)} =16\\\\\frac{1}{2m} -\frac{3}{32} =16\\\\16m-32=16\\\\16m=16+32\\\\16m=48\\\\m=\frac{48}{16}[/tex]

m = 3.

Read more on word problems here: brainly.com/question/13170908

1. The Wall Street Journal reported that bachelor’s degree recipients with majors in business average starting salaries of $53,900 in 2012 (The Wall Street Journal, March 17, 2014). The results for a sample of 100 business majors receiving a bachelor’s degree in 2013 showed a mean starting salary of $55,144 with a sample standard deviation of $5,200. Conduct a hypothesis test to determine whether the mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012. Use a = .01 as the level of significance

Answers

Answer:

The calculated value t = 4.976 > 2.6264 at 0.01 level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The  mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012

Step-by-step explanation:

Given Mean of the population μ = $53,900

Given sample size 'n' = 100

Mean of the sample size x⁻ = 55,144

Sample standard deviation 'S' = 5200

Null hypothesis:H₀: There is no difference between the means

Alternative Hypothesis :H₁: The  mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012

Test statistic

[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

[tex]t = \frac{55144-53900}{\frac{5200}{\sqrt{100} } }[/tex]

t = 4.976

Degrees of freedom

ν = n-1 = 100-1 =99

t₀.₀₁ = 2.6264

The calculated value t = 4.976 > 2.6264 at 0.01 level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

Final answer:-

The  mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012

Answer:

We conclude that the mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012.

Step-by-step explanation:

We are given that the Wall Street Journal reported that bachelor’s degree recipients with majors in business average starting salaries of $53,900 in 2012.

A sample of 100 business majors receiving a bachelor’s degree in 2013 showed a mean starting salary of $55,144 with a sample standard deviation of $5,200.

Let [tex]\mu[/tex] = mean starting salary for business majors in 2013.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] $53,900     {means that the mean starting salary for business majors in 2013 is smaller than or equal to the mean starting salary in 2012}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > $53,900     {means that the mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012}

The test statistics that would be used here One-sample t-test statistics because we don't know about population standard deviation;

                               T.S. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean starting salary = $55,144

            s = sample standard deviation = $5,200

            n = sample of business majors = 100

So, the test statistics  =  [tex]\frac{55,144-53,900}{\frac{5,200}{\sqrt{100} } }[/tex]  ~ [tex]t_9_9[/tex]

                                     =  2.392

The value of t-test statistic is 2.392.

Now, at 0.01 significance level the t table gives a critical value of 2.369 at 99 degree of freedom for right-tailed test.

Since our test statistic is more than the critical value of t as 2.392 > 2.369, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012.

George earned e extra credit points. Kate earned 35 fewer extra credit points than George. Choose the expression that
shbws how many extra credit points Kate earned.
O A. 35
B.35e
C.35 + e
D. e - 35
Ronat Selection

Answers

Answer:

D. e - 35

Step-by-step explanation:

We have that:

George earned e extra points.

Kate earned k extra points.

Kate earned 35 fewer extra credit points than George.

This means that k is e subtracted by 35, that is:

k = e - 35

So the correct answer is:

D. e - 35

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