A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($139,048, $154,144). Give a practical interpretation of the interval.
a) 90% of the sampled CEOs have salaries that fell in the interval $139,048 to $154,144b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144. c) 90% of all CEOs in the electronics industry have salaries that fall between $139,048 to $154,144d) We are 90% confident that the mean salary of the sampled CEOs falls in the interval $139,048 to $154,144.

Answer:

144

Step-by-step explanation:

Susan can pick 4 pounds of coffee beans in an hour.  Tom can pick 2 pounds of coffee beans in an hour.  Together, they can pick 6 pounds of coffee an hour.

4 + 2 = 6

There are 24 hours in a day.  Multiply the time by the amount that can be picked to find the answer.

24 × 6 = 144

Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.

Together they can pick a maximum of 36 pounds of coffee

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

given:

Susan can pick 4 pounds of coffee or 2 pounds of nuts.

Tom can pick 2 pounds of coffee or 4 pounds of nuts.

So, In 6 hours

Susan will pick

= 4 * 6

= 24 pounds of coffee.

In 6 hours,

Tom will pick

=2 * 6

= 12 pounds of coffee.

Hence, together they can pick a maximum of 36 pounds of coffee

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Answer: 8 is the anwser

Step-by-step explanation:

Answer:

Result = 9b/25 or 36b/100

Step-by-step explanation:

The number is b

step 1

b is decreased by 40%

value of 40% of b = 40/100 *b = 4b/10

New value after this change = b - 40% decreased value of b = b -4b/10

= (10b-4b)/10 = 6b/10

Step 2 The new value obtained is again decreased by 40%

value of 40%  number found in step 1 =  40% of value found in step 1

value of 40%  number found in step 1 =  40/100 * 6b/10 = 24b/100

This value (24b/100) is subtracted from value found in step 1(6b/10) as given that  value obtained is decreased by 40%

new value found after 40% decrease = 6b/10 - 24b/100

new value found after 40% decrease = 60b/100 - 24b/100= 36b/100

new value found after 40% decrease =  36b/100 = 9b/25

Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25

Answer: 4 wholes and 1/5 is 4.20 and you need something greater than that but less than 4.25 which still has only 2 decimals.

Answer:

(See explanation below for further details).

Step-by-step explanation:

Let be a parametric curve represented by [tex]x = 3\cdot t - 5[/tex] and [tex]y = 5\cdot t + 1[/tex], where [tex]t[/tex] is the parametric variable.

The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.

[tex]t = \frac{x+5}{3}[/tex] and [tex]t = \frac{y-1}{5}[/tex]

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

[tex]5\cdot (x+5) = 3\cdot (y-1)[/tex]

[tex]5\cdot x +25 = 3\cdot y - 3[/tex]

[tex]5\cdot x -3\cdot y = -28[/tex]

The parametric equations represents a linear function (first-order polynomial).

Answer:

3 GB

Step-by-step explanation:

Since the family has used 1 GB in 10 days. With the same rate in 30 days they would have 3 GB

Answer:

66.992%

Step-by-step explanation:

[tex]Sales, S(t)=7-6\sqrt[3]{t}[/tex]

Since we want to maximize revenue for the government

Government's Revenue= Sales X Tax Rate

[tex]R(t)=t \cdot S(t)\\R(t)=t(7-6\sqrt[3]{t})\\=7t-6t^{1+1/3}\\R(t)=7t-6t^{4/3}[/tex]

To maximize revenue, we differentiate R(t) and equate it to zero to solve for its critical points. Then we test that this critical point is a relative maximum for R(t) using the second derivative test.

Now:

[tex]R'(t)=7-6*\frac{4}{3} t^{4/3-1}\\=7-8t^{1/3}[/tex]

Setting the derivative equal to zero

[tex]7-8t^{1/3}=0\\7=8t^{1/3}\\t^{1/3}=\dfrac{7}{8} \\t=(\frac{7}{8})^3\\t=0.66992[/tex]

Next, we determine that t=0.6692 is a relative maximum for R(t) using the second derivative test.

[tex]R''(t)=-8*\frac{1}{3} t^{1/3-1}\\R''(t)=-\frac{8}{3} t^{-2/3}[/tex]

R''(0.6692)=-3.48 (which is negative)

Therefore, t=0.66992 is a relative maximum for R(t).

The tax rate, t that maximizes revenue for the government is:

=0.66992 X 100

t=66.992% (correct to 3 decimal places)

Answer:

56 46 38 2 12

Step-by-step explanation:

Answer:

Total bill = $70.80

Step-by-step explanation:

$60 × 0.18 = $10.80

$60 + $10.80 = $70.80

Hope this helps! :)

Answer:

$70.8

Step-by-step explanation:

Since it is 18 percent tax,we need to find 18% of 60$.In order to do that we need to do 60/1 mutiplied by 18/100 and doing the math 18% of 60 =10.8

Now we have to add 60+10.8=$70.8

Thank you and I hope all you have an amazing day.Hope this helps you.Thank you.

192.

2(8+4)÷2(8+8) = 1(4+8)×(8+8)

1×12×16=192.

Answer:

Step-by-step explanation:

[tex]2(4 + 8) \div 2(8 + 8)[/tex]

Any expression divided by itself equals 1

[tex]1(4 +8) \times (8 + 8)[/tex]

Add numbers

[tex]1 \times 12 \times 16[/tex]

Any expression multiplied by 1 remains the same

[tex]12 \times 16[/tex]

Multiply the numbers

[tex]192[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

slope is m=1. y-intercept is -1

Answer:

Slope is 1 and intercept is -1. Slope can be found by taking the rise and run of 2 points on a graph. and intercept is just when x = 0

If digits can repeat and it can start with zero than there are 10 options for every digit so the answer is 10**7, or 10000000.

hope this helps, plz mark branliest?

Number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.

We need to find the how many different 7-digit PIN codes using only the digits 0-9 are possible.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

First digit: 1,2,3,4,5,6,7,8,9 (cannot be 0 else it will be a 6-digit number) (9 choices)

2nd digit: 0,1,2,3,4,5,6,7,8,9 (10 choices)

As we go on, we realise that from the 2nd to 7th digit, we have 10 options (0,1,2,3,4,5,6,7,8,9)

Number of ways to get 7-digit numbers using 0-9 would be 9×10×10×10×10×10×10=9000000.

Therefore, number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.

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Answer:

Every decade, the number of species decays by a factor of 0.0834.

Step-by-step explanation:

Let be [tex]S(t) = 25,000,000\cdot 0.78^{t}[/tex], [tex]\forall t \geq 0[/tex]. The decay rate per decay is deducted from the following relation:

[tex]\frac{S(t+10)}{S(t)} = \frac{25,000,000\cdot 0.78^{t+10}}{25,000,000\cdot 0.78^{t}}[/tex]

[tex]\frac{S(t+10)}{S(t)} = 0.78^{t+10-t}[/tex]

[tex]\frac{S(t+10)}{S(t)} = 0.78^{10}[/tex]

[tex]\frac{S(t+10)}{S(t)} = 0.0834[/tex]

Every decade, the number of species decays by a factor of 0.0834.

Answer:

28% subtracted

Step-by-step explanation:

khan

Answer:

48x divided by 8= 6p

Step-by-step explanation:

Full question:

Eighteen of 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?

Answer:

16/25

Step-by-step explanation:

Probability is the likelihood of an event happening and it is calculated as the number of favourable outcomes divided by the total number of possible outcomes. From the above we can calculate probability of finding a DVR that is not defective by adding up number of DVRS that are not defective in the DVRS(favourable outcomes) and dividing it by the total number of DVRS(total number of possible outcomes).

Non defective dvrs=total number of dvrs-defective dvrs=50-18=32

So probability here=non defective dvrs/total number of dvrs

=32/50=16/25

Answer:

Option A

Step-by-step explanation:

Given function is,

f(x) = x² + 3x + 5

We have to find the value of f(a + h) so we will substitute (a + h) in place of x, and simplify the expression.

f(a + h) = (a + h)² + 3(a + h) + 5

           = a² + 2ah + h² + 3(a + h) + 5 [(a + b)² = a² + 2ab + b²]

           = a² + 2ah + h² + 3a + 3h + 5

Therefore, Option A will be the answer.

Answer:

r= 29.82

Step-by-step explanation:

r/7.1=4.2

r= 4.2*7.1

r= 29.82

Answer:

29.82         i did the unit test

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Total sides = 6

Number 5 and all even numbers = 1+3

=> 4

P(5 or even ) = 4/6

=> 2/3

Answer: A

Step-by-step explanation:

(f-g)(x) means f(x)-g(x). Since we are given f(x) and g(x), we can directly subtract them.

4x+1-(x²-5)           [distribute -1]

4x+1-x²+5            [combine like terms]

4x-x²+6                [rewrite in the order of exponents]

-x²+4x+6

Answer:

csc∅ = 25/7

sec∅ = 25/24

cot∅ = 24/7

Step-by-step explanation:

Cosecant (csc) is 1/sin∅ or hypotenuse over opposite

Secant (sec) is 1/cos∅ or hypotenuse over adjacent

Cotangent (cot) is 1/tan∅ or adjacent over opposite

Answer: 49/9

Step-by-step explanation: 42/9 + 7/9 = 49/9

Make first fraction into improper fraction with the same common dominator as 7/9 and add them both

Hope this helps:)

Answer:

49/9

Step-by-step explanation:

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 3/7 as a percent, we need to find a fraction

equivalent to 3/7 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have [tex]\frac{3}{7} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (3)(100) which is 300 is equal to (7)(n) or 7n.

So we have the equation 300 = 7n.

Next, dividing both sides of the equation by 7, we have 42.8571 = n.

So 3/7 is equal to 42.8571/100 or 42.8571%.

Answer:

50%

Step-by-step explanation:

There are 3 numbers fitting the rule, 1, 2, and 6. There is a 3/6 chance rolling one of them or 50%.

Answer:

50%

Step-by-step explanation:

1 value> 5 and 2 values<3, out of total of 6

P (greater than 5 or less than 3) = 3/6= 50%

Answer:

The percentage points within which the obtained results would differ from the real population value.

Step-by-step explanation:

The ideas of the margin of error and confidence interval are borne from the observed truth, which is that there is always room for error in any statistically computed figure such as a survey or poll. For example, the result of a poll could show an 80% confidnce interval with a margin of error of 3%. This simply means that if the poll was repeated, 80% of the real population would fall within an estimate of 3%.

Statistics are not always error proof. Sometimes, the results might even be totally different from the computed results. So, it is very important that room is made for the possibility of an error, and that is why we need the mrgin of error.

The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

The expression is given below.

⇒ ㏑(4/9)

Simplify the equation, then we have

⇒ ㏑(4/9)

⇒ ㏑ 4 - ㏑ 9

⇒ ㏑ (2)² - ㏑ (3)²

⇒ 2 ㏑ 2 - 2 ㏑ 3

The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.

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Answer:

First blank is 4, second blank is 0

Step-by-step explanation:

divide it :)

Answer:

Yellow box #1=0

Yellow box #1=4

Step-by-step explanation:

If [tex]a = 0[/tex], then [tex]y = ax^2+bx+c[/tex] turns into [tex]y = 0x^2+bx+c[/tex]. That [tex]0x^2[/tex] term goes away because it turns into 0, and adding 0 onto anything does not change the expression.

So  [tex]y = 0x^2+bx+c[/tex] turns into [tex]y = bx+c[/tex] which is a linear equation (b is the slope, c is the y intercept). It is no longer a quadratic as quadratic equations always graph out a curved parabola.

As an example, you could graph out [tex]y = 0x^2+3x+4[/tex] and note how it's the exact same as [tex]y = 3x+4[/tex], both of which are straight lines through the two points (0,4) and (1,7).

Answer:

The total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

Step-by-step explanation:

The complete question is:

From a group of 10 women and 15 men, a researcher wants to randomly select  5 women and 5 men for a study in how many ways can the study group be selected?

Solution:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

 [tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]

The number of women in the group: [tex]n_{w}=10[/tex].

The number of women the researcher selects for the study, [tex]k_{w}=5[/tex]

Compute the total number of ways to select 5 women from 10 as follows:

[tex]{n_{w}\choose k_{w}}=\frac{n_{w}!}{k_{w}!\cdot (n_{w}-k_{w})!}=\frac{10!}{5!\cdot (10-5)!}=\frac{10!}{5!\times 5!}=252[/tex]

The number of men in the group: [tex]n_{m}=15[/tex].

The number of men the researcher selects for the study, [tex]k_{m}=5[/tex]

Compute the total number of ways to select 5 men from 15 as follows:

[tex]{n_{m}\choose k_{m}}=\frac{n_{m}!}{k_{m}!\cdot (n_{m}-k_{m})!}=\frac{15!}{5!\cdot (15-5)!}=\frac{15!}{5!\times 10!}=3003[/tex]

Compute the total number of ways the researcher can select  5 women and 5 men for a study as follows:

[tex]{n_{w}\choose k_{w}}\times {n_{m}\choose k_{m}}=252\times 3003=756756[/tex]

Thus, the total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

Answer:

0.001

Step-by-step explanation:

Here, the aim is to support the null hypothesis, Ha. Where Ha: p > 0.5. Which means we are to reject null hypothesis H0. Where H0: p = 0.5.

The higher the pvalue, the higher the evidence of success. We know If the pvalue is less than level of significance, the null hypothesis H0 is rejected.

Hence the smallest possible value 0.001 is preferred as the pvalue because it corresponds to the sample evidence that most strongly supports the alternative hypothesis that the method is effective

Answer:

None of the sides can be a triangle.

Step-by-step explanation: