18 points please help pic inserted

Answer:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

Step-by-step explanation:

Confidence interval:

Confidence level of x%

We build from a sample.

Between a and b.

Intepretation: We are x% sure that the population mean is between a and b.

In this question:

90%

45 CEO's

Between ($139,048, $154,144).

So

We are 90% sure that the mean salary of all CEO's falls within this interval.

The correct answer is:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

Answer:

Choice C.

Step-by-step explanation:

Your choice is correct

2 stands for a starting point which is 2 feet from the home

As the ant moves, over time, the distance increases according to the function

Answer: Anything above 2

Step-by-step explanation:

Answer: 3,4,5,6,7,8,9 (Any of these digits work)

Step-by-step explanation:

We want to find a digit that makes the number greater than 3260.2. There are many digits that can fit in there.

3318.7≥3260.2

Here, we plugged in a 3. that makes this sentence true because 3318.7 is greater than or equal to 3260.2. Since 3 works, we know that any digit greater than 3 would fit.

Answer:

The answer is [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Velocity formula:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

A tourist can bicycle 28 miles in the same time as he can walk 8 miles. He can ride 10 mph faster than he can walk:

This means that:

[tex]v = \frac{8}{t}[/tex]

And

[tex]v + 10 = \frac{28}{t}[/tex]

[tex](v + 10)t = 28[/tex]

From the first equation:

[tex]vt = 8[/tex]

So

[tex]vt + 10 = 28[/tex]

[tex]8 + 10t = 28[/tex]

[tex]10t = 20[/tex]

[tex]t = \frac{20}{10}[/tex]

[tex]t = 2[/tex]

He walks 8 miles in two hours, so:

[tex]v = \frac{8}{2} = 4[/tex]

4 miles per hour.

How much time (in hr) should he allow to walk a 25-mile trail?

This is t when [tex]d = 25[/tex]. So

[tex]v = \frac{d}{t}[/tex]

[tex]4 = \frac{25}{t}[/tex]

[tex]4t = 25[/tex]

[tex]t = \frac{25}{4}[/tex]

The answer is [tex]\frac{25}{4}[/tex]

Answer:

[tex]\frac{1}{3}*(x-5)=\frac{-2}{3}[/tex]

Step-by-step explanation:

Let the number be x

Difference of a number & 5 : x-5

1/3 time the difference of a number & 5: 1/3 (x-5)

Equation:

[tex]\frac{1}{3}*(x-5)=\frac{-2}{3}[/tex]

Solution:

[tex]x-5=\frac{-2}{3}*\frac{3}{1}\\\\x-5=-2\\\\x=-2+5\\x=3[/tex]

Answer:

prime factors in ascending order of 1729 is 7 , 13 , 19

relation between  consecutive prime factors is 6

Step-by-step explanation:

given data

number = 1729

solution

we get here factors of 1729

1729 = 7 × 13 × 19

so that required prime factors in ascending order of 1729 is 7 , 13 , 19

and

now we get relation between these prime factors is the difference between consecutive prime factors is

13 - 7 =  6

19 - 13 = 6

so relation between  consecutive prime factors is 6

Step-by-step explanation:

Prime factors of the number 1729 are 7,13,19

i.e. 1729 =7×13×19

The factors in ascending order are 7,13,19.

Clearly we can see that each consecutive prime factors​ have difference of 6.

13-7=6

19-13=6

Answer:

75%

Step-by-step explanation:

The numbers that are not 5 are 6, 7, and 8.

3 numbers are not 5 out of 4 total numbers on the spinner.

3/4 = 0.75

= 75%

Answer:

75%

Step-by-step explanation:

Total no.s = 4

Divided in parts = 25%

P(not 5) = 75%

Answer:

8/25

Step-by-step explanation:

The probability of picking a number less than 9 is 4/5.

The probability of picking an even number is 2/5.

[tex]4/5 \times 2/5[/tex]

[tex]=8/25[/tex]

Answer:

1/5

Step-by-step explanation:

The number 5 or greater than 4 is 5.

1 number out of 5 total parts.

= 1/5

P(5 or greater than 4) = 1/5

Answer:

Weight of Large Box = 18.5 kg

Weight of Large Box = 13.25 kg

Step-by-step explanation:

Given:

There are two types of boxes i.e. Large and Small

Let the weight of Large boxes = L kg

Let the weight of Small boxes = S kg

As per given statement:

Writing equation for above:

[tex]8L + 4S = 201[/tex] ....... (1)

Writing equation for above:

[tex]3L + 2S = 82 ....... (2)[/tex]

Now, by solving the equations (1) and (2), we can get the values of L and S.

Multiplying equation (2) with 2 and subtracting from equation (1):

[tex]8L + 4S = 201[/tex]

-

[tex]2 \times (3L + 2S) = 82 \times 2[/tex]

[tex]8L + 4S = 201[/tex]

-

[tex]6L + 4S = 164[/tex]

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

[tex]2L = 37[/tex]

L = 18.5 Kg

Putting value of L in equation (1):

[tex]8 \times 18.5 + 4S = 201\\\Rightarrow 148 + 4S = 201\\\Rightarrow 4S = 201 - 148\\\Rightarrow 4S = 53\\\Rightarrow S = 13.25\ kg[/tex]

So, the answer is:

Weight of Large Box = 18.5 kg

Weight of Large Box = 13.25 kg

is this what u need.....

Answer:

Step-by-step explanation:

8P3=8*7*6=336

Answer:

1,050 workers

Step-by-step explanation:

25% = 0.25

0.25 × 1400 = 350

1400 - 350 = 1050

Hope this helps.

Answer:

V lies in the exterior of <STU.

Step-by-step explanation:

V lies in the exterior of <STU.

Answer:

12

Step-by-step explanation:

For polygons that are similar to each other, the ratio of their corresponding sides are usually equal to each other, as they are proportional.

Therefore, given that ∆DAE is similar to ∆BAC, AD = 6, AB = 6+4 = 10, AE = x, AC = x + 8, therefore:

AD/AB = AE/AC

6/10 = x/(x+8)

Cross multiply

6*(x+8) = x*10

6x + 48 = 10x

Subtract 6x from both sides

48 = 10x - 6x

48 = 4x

Divide both sides by 4

48/4 = x

x = 12

Length of side AE = 12

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The rectangle has an area of 60 square feet. Find its dimensions (in ft) if the length of the rectangle is 4 ft more than its widh.

smaller value ___________________ ft

larger value ____________________ ft

Answer:

Smaller value = 6 ft

Larger value = 10 ft

Step-by-step explanation:

Recall that the area of a rectangle is given by

[tex]Area = W \times L[/tex]

Where W is the width and L is the length of the rectangle.

It is given that the rectangle has an area of 60 square feet.

[tex]Area = 60 \: ft^2 \\\\60 = W \times L \\\\[/tex]

It is also given that the length of the rectangle is 4 ft more than its width

[tex]L = W + 4[/tex]

Substitute [tex]L = W + 4[/tex] into the above equation

[tex]60 = W \times (W + 4) \\\\60 = W^2 + 4W \\\\W^2 + 4W - 60 = 0 \\\\[/tex]

So we are left with a quadratic equation.

We may solve the quadratic equation using the factorization method  

[tex]W^2 + 10W - 6W - 60 \\\\W(W + 10) – 6(W + 10) \\\\(W + 10) (W - 6) = 0 \\\\[/tex]

So,

[tex](W + 10) = 0 \\\\W = -10 \\\\[/tex]

Since width cannot be negative, discard the negative value of W

[tex](W - 6) = 0 \\\\W = 6 \: ft \\\\[/tex]

The length of the rectangle is  

[tex]L = W + 4 \\\\L = 6 + 4 \\\\L = 10 \: ft \\\\[/tex]

Therefore, the dimensions of the rectangle are

Smaller value = 6 ft

Larger value = 10 ft

Verification:

[tex]Area = W \times L \\\\Area = 6 \times 10 \\\\Area = 60 \: ft^2 \\\\[/tex]

Hence verified.

Answer:

Step-by-step explanation:

vector u=<(11-(-7),(-5-2)>=<18,-7>

as direction is opposite to u

so vector v=-3(18,-7)=(-54,21)

Answer:

First choice

Step-by-step explanation:

Start by arranging the exponents of 10 in ascending order.

9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7 * 10^3

The exponents are in ascending order, -8, -6, 3, 3

Since the last two exponents are equal, we must compare the numbers that multiply the powers of 10. They are 2.5 and 7. Since 2.5 < 7, ascending order is 2.5, 7. That means the line above is in ascending order.

Answer: First choice

Answer:

Event 3 -> Event 1 -> Event 4 -> Event 2

Step-by-step explanation:

The probability of choosing a certain pen is the number of that pen in the box over the total number of pens in the box.

So we have that:

Event 1: We have 4 black pen and 20 total pens, so P = 4 / 20 = 1 / 5

Event 2: All pens are black or orange so the probability is 1.

Event 3: We don't have white pens, so the probability is 0.

Event 4: We have 2 black pen and 5 total pens, so P = 2 / 5

Listing from least likely to most likely, we have:

Event 3 -> Event 1 -> Event 4 -> Event 2

Answer:

9 ones, 8 tenths, 0 hundredths, 7 thousandths

Step-by-step explanation:

Answer:

9 thousands

8 hundreds

0 tens

7 ones

Step-by-step explanation:

Hope it helped!

Answer:

The test statistic value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given mean of the population (μ) =  $183,000

Given mean of the sample (x⁻)  = $198,000

Given standard deviation of the sample (S) =  $65,000.

Mean of the sample size 'n' = 51

level of significance  α = 0.05

Step(ii):-

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

Alternative Hypothesis :H₁: There is  significance difference between the means

Test statistic

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

           [tex]t = \frac{198,000- 183,000 }{\frac{ 65,000}{\sqrt{51} } }[/tex]

          t =  1.64

Step(iii)

Degrees of freedom  ν = n-1 = 51-1 =50

t₀.₀₅ =  2.0086

The calculated value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There is no significance difference between the means

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups. Some members of each group are surveyed. This is stratified sampling

Answer:

Step-by-step explanation:

Part A

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Answer:

Option (c).

Step-by-step explanation:

It is given that, I paid twice as much by not waiting for a sale and not ordering online.

Let the cost of items ordering online be x.

So, now i am paying twice of x = 2x

Now, we have find 2x is what percent of x.

[tex]Percent =\dfrac{2x}{x}\times 100=200\%[/tex]

It means, I paid 200% of what I could have online and on sale.

Therefore, the correct option is (c).

Answer:

[tex] P(Head) = \frac{65}{100}=0.65[/tex]

[tex] P(Tail) = \frac{35}{100}=0.35[/tex]

And for this case the probability that in the next flip we will get a tail would be:

[tex] P(Tail) = \frac{35}{100}=0.35[/tex]

Step-by-step explanation:

For this case we know that a coin is toss 100 times and we got 65 heads and 35 tails.

We can calculate the empirical probabilities for each outcome and we got:

[tex] P(Head) = \frac{65}{100}=0.65[/tex]

[tex] P(Tail) = \frac{35}{100}=0.35[/tex]

And for this case the probability that in the next flip we will get a tail would be:

[tex] P(Tail) = \frac{35}{100}=0.35[/tex]

Answer:

80%

Step-by-step explanation:

The probability of getting a four is 1/5

The probability of getting a odd is3/5

So u add them and it gives u 4/5 which in decimal is .8 which in percent is 80%

Hope this helps

Answer:

4 and 4

Step-by-step explanation:

We have 2 numbers that will be X and Y

X * Y = 16 => Y = 16 / X

We must minimize the sum, therefore:

S = X + Y

S = X + 16 / X

we derive and equal 0 and we are left with:

dS / dA = 1 - 16 / (X ^ 2) = 0

1 = 16 / X ^ 2

X ^ 2 = 16

X = 4

in the case of Y:

Y = 16/4 = 4

Therefore the numbers are 4 and 4.

The two positive numbers are 4 and 4

Let the two numbers be x and y

If the product of both numbers is 16, hence;

xy = 16 ........................... 1

If the sum will be at the minimum, hence x + y = minimum

From equation1, x = 16/ y

Substitute into the second equation to have;

16/y + y = A(y)

A(y) = 16/y + y

For the expression to be at a minimum, hence dA/dy = 0

dA/dy = -16/y² + 1

0 = -16/y² + 1

0 - 1 =  -16/y²

-y² = -16

y = √16

y = 4

Recall that xy = 16

4x= 16

x = 4

Hence the two positive numbers are 4 and 4

LEarn more here: https://brainly.com/question/13598452

Answer:

Factoring is a useful skill in real life. Common applications include: dividing something into equal pieces, exchanging money, comparing prices, understanding time, and making calculations during travel.

Sorry if this is a little wordy, I can get carried away with this sort of thing

anyway, hope this helped and answered your question :)

Answer:

a. 4650

b.

1. 332

2. 2076

3. 8306

Step-by-step explanation:

a. The planning value for population standard deviation is,

s = (maximum - minimum) / 4

s = (61600 - 43000) / 4

s = 4650

that is, it would be 4650, the planning value for population standard deviation

b. we have to:

n = (z * s / E) ^ 2

z for confidence level 95% is 1.96, E = 500; 200; 100

replacing:

1.

n = (1.96 * 4650/500) ^ 2

n = 332.2 = 332

2.

n = (1.96 * 4650/200) ^ 2

n = 2076.6 = 2076

3.

n = (1.96 * 4650/100) ^ 2

n = 8306.4 = 8306

Answer:

Step-by-step explanation:

Volume of a hemisphere is given by

[tex]V = \frac{2}{3} \pi {r}^{3} [/tex]

where r is the radius of the hemisphere

From the question

r = 29 ft

Substitute the value of r into the formula

That's

[tex]V = \frac{2}{3} \pi \times {29}^{3} [/tex]

[tex]V = \frac{48778}{3} \pi[/tex]

We have the final answer as

Hope this helps you