The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What is the random variable in this experiment?A. Normal distribution B. $40,000 C. Starting salaries D. $5,000

Step-by-step explanation:

4x + 0.2=0.9

transposing 0.2 to RHS

=> 4x =0.9-0.2 => 4x=0.7

transposing 4 to RHS

=> x=0.7÷4

=> x=0.175

if it helps plzz mark it as brainliest

Answer: add 0.2

Step-by-step-explanation:

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

P(5 or Q) = P(5) + P(Q)

= 4/52 + 4/52

= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

= 30/52

P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

Answer:3/8 or 0.375 yards

Step-by-step explanation:

Step-by-step explanation:

Option D is the correct answer because 3.544 is greater than 3.455

Option D is true in given comparison.

Here,

We have to find the correct comparison.

What is Decimal expansion?

The decimal expansion terminates or ends after finite numbers of steps. Such types of decimal expansion are called terminating decimals.

Now,

In option D;

The one tenth of 3.544 is 5 and place value of one tenth number in 3.455 is 4.

Clearly, 5 > 4

So, 3.544 > 3.455

Hence, option D; 3.544 > 3.455 is true.

Learn more about the Decimal expansion visit:

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Answer:

x=11

Step-by-step explanation:

Since the lines in the middle are parallel, we know that both sides are proportional to each other.

6:48 can be simplified to 1:8

Since we know the left side ratio is 1:8, we need to match the right side with the same ratio

We can multiply the ratio by 5 to match 5:3x+7

5:40

5:3x+7

Now we can set up the equation: 40=3x+7

Subtract 7 from both sides

3x=33

x=11

Answer:

Step-by-step explanation:

Hello!

A regression model was determined in order to predict the number of earthquakes above magnitude 7.0 regarding the year.

^Y= 164.67 - 0.07Xi

Y: earthquake above magnitude 7.0

X: year

The researcher wants to test the claim that the regression is statistically significant, i.e. if the year is a good predictor of the number of earthquakes with magnitude above 7.0 If he is correct, you'd expect the slope to be different from zero: β ≠ 0, if the claim is not correct, then the slope will be equal to zero: β = 0

The hypotheses are:

H₀: β = 0

H₁: β ≠ 0

α: 0.05

The statistic for this test is a student's t: [tex]t= \frac{b - \beta }{Sb} ~~t_{n-2}[/tex]

The calculated value is in the regression output [tex]t_{H_0}= -3.82[/tex]

This test is two-tailed, meaning that the rejection region is divided in two and you'll reject the null hypothesis to small values of t or to high values of t, the p-value for this test will also be divided in two.

The p-value is the probability of obtaining a value as extreme as the one calculated under the null hypothesis:

p-value: [tex]P(t_{n-2}\leq -3.82) + P(t_{n-2}\geq 3.82)[/tex]

As you can see to calculate it you need the information of the sample size to determine the degrees of freedom of the distribution.

If you want to use the rejection region approach, the sample size is also needed to determine the critical values.

But since this test is two tailed at α: 0.05 and there was a confidence interval with confidence level 0.95 (which is complementary to the level of significance) you can use it to decide whether to reject the null hypothesis.

Using the CI, the decision rule is as follows:

If the CI includes the "zero", do not reject the null hypothesis.

If the CI doesn't include the "zero", reject the null hypothesis.

The calculated interval for the slope is: [-0.11; -0.04]

As you can see, both limits of the interval are negative and do not include the zero, so the decision is to reject the null hypothesis.

At a 5% significance level, you can conclude that the relationship between the year and the number of earthquakes above magnitude 7.0 is statistically significant.

I hope this helps!

(full output in attachment)

Answer:

Since RT = 12, TU = 6 and RS = 24, T and U are the midpoints of RS and TS respectively. This means that SU + UT = RT.

Answer:

su+ut=rt

Step-by-step explanation:

Answer:

x     y

8     -2

0     0

12    3

Step-by-step explanation:

The equation you are given is:

[tex] y = \dfrac{1}{4}x [/tex]

To find y, replace the given x-value in the table with x in the equation, and solve for y.

When x = -8, you get, replacing x with -8:

[tex] y = \dfrac{1}{4}(-8) [/tex]

Simplify:

[tex] y = -2 [/tex]

This gives you the line in the table:

-8     -2

When x = 0, you get, replacing x with 0:

[tex] y = \dfrac{1}{4}(0) [/tex]

Simplify:

[tex] y = 0 [/tex]

This gives you the line on the table:

0     0

To find x, replace the given y-value in the table with y in the equation, and solve for x.

When y = 3, you get, replacing y with 3:

[tex] 3 = \dfrac{1}{4}x [/tex]

Simplify:

[tex] 3 \times 4 = \dfrac{1}{4}x \times 4 [/tex]

[tex] 12 = x [/tex]

This gives you the line in the table:

12     3

Answer:

84

Step-by-step explanation:

The baking club has 10 employees in total including Mark. When Mark is excluded there will be 9 employees who can form the executive committees.

The number of people who can form each committee are 3. To find the possible number of committees we use statistic computation technique. 9C3 we get 84 possible techniques.

yes

Step-by-step explanation:

parallelogram are quadrilaterals with two sets of parallel sides. since square must be quadrilaterals with two sets of parallel sides ,then all squares are parallelogram ,a trapezoid is quadrilateral.

Answer:

488p-244

Step-by-step explanation:

=> (50+11)*(8p-4)

=> 61(8p-4)

Expanding by distributive property.

=> 488p-244

Answer:

180 in²

Step-by-step explanation:

The area of a parallelogram is base times height.

b × h

18 × 10

= 180

The area of the rug is 180 in².

Answer:

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

Step-by-step explanation:

Step(i):-

Given sample proportion

                                    p⁻ = 44.4 % = 0.444

Random sample size 'n' = 1049

Given margin of error for 95% confidence level = 3 % = 0.03

Step(ii):-

95% of confidence interval for the proportion is determined by

[tex](p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })[/tex]

we know that

Margin of error for 95% confidence level is determined by

[tex]M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }[/tex]

Step(iii):-

Now

95% of confidence interval for the proportion is determined by

[tex](p^{-} - M.E, p^{-} + M.E)[/tex]

Given Margin of error

                              M.E = 0.03

Now 95% of confidence interval for the proportion

[tex](0.444 - 0.03, 0.444+ 0.03)[/tex]

(0.414 ,0.474)

Conclusion:-

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

Answer:

Domain { -3,1,5,6,9}

Range { -8,-6,3,5,7}

Step-by-step explanation:

The domain is the inputs

Domain { 6,9,-3,1,5}

We normally put them in order from smallest to largest

Domain { -3,1,5,6,9}

The range is the outputs

Range { -8,-6,3,5,7}

The domain is the set of all x-coordinates.

So here, the domain is {6, 9, -3, 1, 5} which we

can write in ascending order as {-3, 1, 5, 6, 9}.

Note that the domain is usually written in ascending order.

In other words, from least to greatest.

Next, the range is the set of all y-coordinates.

So here, the range is {-8, 3, 5, -6, 7} which we

can write in ascending order as {-8, -6, 3, 5, 7}.

Like the domain, the range is usually written in ascending order.

Answer:

a= 20.5in.

Step-by-step explanation:

Using the law of cosine to solve the problem (adjacent/hypotenuse) you set up the equation cos(35)=a/25 since a is adjacent to the angle and since 25 is the hypotenuse. You then wanna multiply both sides of the equation by 25 to  since you are dividing by 25 because opposites cancel out and you want to get the variable x alone and on one side. After doing this you get 25*cos(35)=x. You put this in a calculator and get 20.4788011072 and when you round it to the nearest tenth you get 20.5in.

Hope this helps :)

Answer:

A. 20.5 In

Step-by-step explanation:

hello there, in order to solve a trigonometry solution you must know the law of cos sin rule..

please remember this formula...

1. SOH.. Sin Ø =

[tex] \sin(x) = \frac{opposite}{ hypotenus} [/tex]

2. CAH..

[tex] \cos(x) = \frac{adjacemt}{hypotenus} [/tex]

3. TOA

[tex] \tan(x) = \frac{opposite}{adjacent} [/tex]

Based on the question.. the value is given such as

ø=35°

hypotenus = 25 inch

find the BC which is the adjacent..

so we have the value for hypotenus and the angle.. the only relationship that suits this category is CAH .

FORMULA FOR CAH

COS Ø = ADJACENT/ HYPOTENUS

then now we substitute the value given

[tex] \cos(35) = \frac{bc}{25} [/tex]

bring up the 25 to cos 35..

[tex]25 \cos(35) = bc[/tex]

calculate the value of BC

[tex]bc = 25 \cos(35) [/tex]

[tex]bc = 20.47[/tex]

so the length of BC is equals to 20.47 or 20.5 In

Answer:

D is the correct answers

Step-by-step explanation:

If we know two sides and an included angle of any triangle, we can use law of cosines to find the unknown length of the third side

The correct option is D. [tex]c^{2} =(42)^{2} +(35)^{2} -2(35)(42)cos120[/tex].

Given  triangle has two sides of length 42 and 35, and angle between these two sides is 120°.

The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle is known (S A S) or the lengths of the three sides (SSS) are known.

From this law ,we have [tex]a^{2} =b^{2} +c^{2} -2 bc cos \alpha[/tex] , here a is the length of side to be calculated and alpha is the angle between the known side.

So,here  [tex]a^{2} =(42)^{2} +(35)^{2} -2(42)(35) cos120[/tex], since angle between the known sides is 120°.

Hence the correct option is D. [tex]c^{2} =(42)^{2} +(35)^{2} -2(35)(42)cos120[/tex].

For more details on Law of cosine follow the link:

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Answer:

1/6 hours

Step-by-step explanation:

It takes leo 15 minutes = 15/60 = 0.25 hours to circle to school with speed of

12km/hr .

Distance covered = speed*Time.

Distance covered = 12*0.25

Distance covered= 3 km

So the distance to be covered each time is 3km.

If speed increase to 18 km/he

Time taken = distance/speed

Time taken = 3/18

Time= 1/6 hour

Or 1/6 * 60 = 60/6 = 10 minutes

Answer:

(0.6231 , 0.6749)

Step-by-step explanation:

With the information we have, it is impossible to solve the exercise, therefore I was looking for information to complete it and we have to:

the sample proportion is 64.9%, or 0.649 plus the sample size is 1300 (n)

Now, we have that the standard error is given by:

SE = (p * (1 - p) / n) ^ (1/2)

replacing

SE = (0.649 * (1 - 0.649) / 1300) ^ (1/2)

SE = 0.0132

Now we have that confidence level is 95%, hence α = 1 - 0.95 = 0.05

α / 2 = 0.05 / 2 = 0.025, Zc = Z (α / 2) = 1.96

With this we can calculate margin of error like so:

ME = z * SE

ME = 1.96 * 0.0132

ME = 0.0259

Finally the interval would be:

CI = (p - ME, p + ME)

CI = (0.649 - 0.0259, 0.649 + 0.0259)

CI = (0.6231, 0.6749)

Answer:

Week 3

Step-by-step explanation:

Week one was 1,0

Week two was 2,1

Week three was 3,3 which is the same number the teams have won

Therefore the answer is week 3

Hope this helps

Answer:

6.68% probability that a diode selected at random would have a length less than 20.01mm​

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 20.04, \sigma = 0.02[/tex]

Find the probability that a diode selected at random would have a length less than 20.01mm​

This is the pvalue of Z when X = 20.01. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20.01 - 20.04}{0.02}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

6.68% probability that a diode selected at random would have a length less than 20.01mm​

Answer:

286.60

Please tell me if I'm wrong.

Answer:

Odds of being a case = 1.90

Step-by-step explanation:

Relationship between artificial sweeteners and bladder cancer.

Amongst the cases, 1,293 had used artificial sweeteners in the past, while 1,707 had never used artificial sweeteners.

used AS = 1,293

Not used AS = 1,707

Among the controls, 855 had used sweeteners and 2,145 had not.

We can prepare a table from the above information,

                                 Cases              Controls

used AS                  a = 1,293            b = 855

Not used AS           c = 1,707            d = 2,145

The odds of being a case may be calculated as

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

[tex]$ odds = \frac{1,293 \times 2,145}{855 \times 1,707} $[/tex]

[tex]odds = 1.90[/tex]

Therefore, we can conclude that a person having bladder cancer used artificial sweeteners was 1.90 times the odds that a person without bladder cancer used artificial sweeteners .

Answer:

x < -4

Step-by-step explanation:

-3x > 12

Divide both parts with -3.

-3x/-3 > 12/-3

x < -12/3

x < -4

It would be any number bigger then the number 4, so try 5.

Answer:

The first first five terms of this sequence are

Step-by-step explanation:

[tex]a(n) = 27(0.1)^{n - 1} [/tex]

where n is the number of term

For the first term

n = 1

[tex]a(1) = 27(0.1)^{1 - 1} = 27(0.1) ^{0} [/tex]

= 27(1)

Second term

n = 2

[tex]a(2) = 27(0.1)^{2 - 1} = 27(0.1)^{1} [/tex]

= 27(0.1)

Third term

n = 3

[tex]a(3) = 27(0.1)^{3 - 1} = 27(0.1)^{2} [/tex]

Fourth term

n = 4

[tex]a(4) = 27(0.1)^{4 - 1} = 27(0.1)^{3} [/tex]

Fifth term

n = 5

[tex]a(5) = 27(0.1)^{5 - 1} = 27(0.1)^{4} [/tex]

Hope this helps you

Answer:

-3.1

Step-by-step explanation:

[tex]a=-1/4=-0.25\\\\-0.5(3a+4)+1.9a-1=\\\\-0.5(3*-0.25+4)+1.9*(-0.25)-1=\\-0.5(-0.75+4)+1.9*(-0.25)-1=\\-0.5(3.25)+1.9*(-0.25)-1=\\-1.625+1.9*(-0.25)-1=\\-1.625-0.475-1=\\-2.1-1=\\-3.1[/tex]

Answer:

Should be a 50/50 chance

Step-by-step explanation:

When you flip a coin there are 2 possible chances, heads or tails. That means that out of 100 there should a 50/50 chance to get both. By Tegan getting 63 heads it show how the mentailty that it should be a perfect 50/50 chnace to get heads is not real and therefore not fair.

(but in real life this is what happens. Its not fair).

Answer:

8.96 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 500

p = 0.58

q = 1 - 0.58 = 0.42

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Therefore, the margin of error of the population proportion estimation for a 95% confidence interval is

1.96√(0.58)(0.42)/500 = 0.043