Confidence in banks: A poll conducted asked a random sample of 1342 adults in the United states how much confidence they had in banks and other financial institutions. A total of 143 adults said that they had a great deal of confidence. An economist claims that less than 14% of U.S. adults have a great deal of
confidence in banks. Can you conclude that the economist's claim is true? Use both a = 0.10 and a 0.01 levels of significance and the P-value method with the
TI-84 Plus calculator.







Compute the value of the test statistic. Round the answer to at least two decimal places.

Answer:

a. 47.5%

Step-by-step explanation:

1. Find the z-score for 405: 405-455/25 = -2

2. Find the z-score for 455: 455-455/25 = 0

3. Using technology or a chart, find the percentage that corresponds with the z-scores: -2 = 0.0228 or 2.28%, AND 0 = 0.5000 or 50%

4. Find the difference between the percentages by subtracting them: 50% - 2.28% = 47.72%

5. Most of the time, the answers aren't exact, so since 47.72% is closest to 47.5%, I would say that's the answer.

Answer:

Step-by-step explanation:

66

Answer:

package 2

Step-by-step explanation:

package 2 is more practical and the circle could fit perfectly in it's other side.

In the geometric mean, the value of k is 18.75.

The geometric mean is a mean or average that uses the product of the values of the numbers to show the central tendency of a set of numbers (as opposed to the arithmetic mean which uses their sum). The nth root of the product of n numbers is what is known as the geometric mean.

Given that 15 is the geometric mean of 12 and k.

GM = n√(x₁*x₂*x₃.......xₙ)

⇒ 15 = √(12*k)

square both sides we get,

⇒ 15² = 12*k

⇒ 225 = 12*k

divide both sides by 12 we get,

⇒ k = 225/12

⇒ k = 18.75

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Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer:

17/2

Step-by-step explanation:\

7 3/2 is equal to 17/2 because 2 x 7 is 14 and 14+3 is 17 and you keep the dem so its 17/2 and you cant simplify so it just becomes 7 3/2. i hope this helped.

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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The examples of unit rate are given below and this can be determined by using the definition of unit rate.

The unit rate is nothing but a ratio that represents the rate of something per unit.

Examples  --

1) A car is driving at a speed of 50 kilometers per hour. The 50 km/hr represents the unit rate.

2) The cost of the potatoes is $2 per pound. The $2/pound represents the unit rate.

3) The density of a substance is 4 Kg per liter. The 4kg/lt represents the unit rate.

Answer:

Step-by-step explanation:

\(0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x\)

1st box: 140

2nd box: 140

3rd box: 35

Evaluating [log2(3)].[log3(4)].[log4(5)]...[log63(64)] is 6

We can use the property that [log_a(b)]=[log_c(b)/log_c(a)] to simplify the expression. Applying this property repeatedly, we get:

[log2(3)].[log3(4)].[log4(5)]...[log63(64)]

= [log2(3)/log2(2)].[log3(4)/log3(3)].[log4(5)/log4(4)]...[log63(64)/log63(62)]

= [log2(3)/1].[log3(4)/1].[log4(5)/1]...[log63(64)/1]

= log2(3) log3(4) log4(5) ... log63(64)

Now, we can use the identity [log_a(b)log_b(c)log_c(d)...log_y(z)] = log_a(z) to combine the logarithms into a single logarithm with a base of 2:

log2(3) log3(4) log4(5) ... log63(64) = log2(64)

Since 2^6 = 64, we have:

log2(64) = 6

Therefore,  [log2(3)].[log3(4)].[log4(5)]...[log63(64)] evaluates to 6.

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Answer:

T1=-12

T2=-19

T3=-26

Step-by-step explanation:

Determine which term will have a value of -6998

-7n-5=-6998

-7n=-6998+5

-7n=-6993

-7n/-7=-6993/-7

n=999

The number of Cones needed in the first, second, and third cases will be 7, 4, and 3, respectively.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

Let πr³ = x. Then the volume of a cylinder is given as,

V₁ = πr³

V₁ = x

The volume of a sphere is given as,

V₂ = (4/3)πr³

V₂ = 4x/3

The volume of a cone is given as,

V₃ = (1/3)πr³

V₃ = x/3

The number of Cones needed, along with 1 Sphere to equal the volume of one Cylinder will be given as,

⇒ (4x/3 + x) / (x/3)

⇒ (7/3) × (3)

⇒ 7

The number of Cones needed to equal the volume of one Sphere will be given as,

⇒ (4x/3) / (x/3)

⇒ (4/3) × 3

⇒ 4

The number of Cones needed to equal the volume of one Cylinder will be given as,

⇒ (x) / (x/3)

⇒ 1 × 3

⇒ 3

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Answer:

Last statement.

Step-by-step explanation:

1. We need to divide 198 by 33 to determine if this statement has an error.

198 / 33 = 6.

This statement doesn't have an error.

2. We need to divide 273 by 39 to determine if this statement has an error.

273 / 39 = 7.

This statement doesn't have an error.

3. We need to divide 376 by 47 to determine if this statement has an error.

376 / 47 = 8.

This statement doesn't have an error.

4. We need to divide 487 by 54 to determine if this statement has an error.

487 / 53 = 9.2

This statement does have an error because the answer isn't exactly 9 hours.

The equation for total amount to be paid represented as y and pounds of potatoes represented as x will be y = 0.64x

Ax + By + C = 0 can be used to express a linear equation in two variables, where x and y are the two variables, and each has a degree of one.

Ex. -2x+3y=8

Total weight of potatoes in pounds Dontrell bought= x

Let total amount Dontrell he pays= $ y

It is given 5.5 pounds are bought by paying $3.52

5.5 pounds = $3.52

1 pound = $ 3.52/5.5

1pound=$0.64(Using Unitary method)

Dontrell buy x pounds potatoes and he pays $y

Therefore,

y=0.64x

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Answer:

( a) Find the lateral area (in square meters) of the prism.

answer:

the lateral area=perimeter of triangle ×height=

(4+5+6)×8=120m²

(b) Find the total area (in square meters) of the prism. (Round your answer to three decimal places.)

answer:

total surface area=lateral surface area +2crossed section area=120+2×(1/2×4×5) =120+20=140m²

(c) Find the volume (in cubic meters) of the prism. answer:

volume of prism=area of base×height=1/2×4×5×8=80m³

Answer:

7.50$

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its 4.51

The solution to the inequality is -3 ≤ x ≤ -1/3

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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Krell's equity cost of capital, or expected total return, is 5.57%.

We have,

The dividend yield is the annual dividend divided by the current share price:

Dividend yield

= Annual dividend / Share price

= $0.98 / $22.08 = 0.0444 = 4.44%

The equity cost of capital is the expected total return on the stock, which includes both the dividend yield and the expected capital appreciation:

Equity cost of capital = Dividend yield + Capital Appreciation

= 4.44% + [(24.98 - 22.08) / 22.08]

= 4.44% + 0.1314

= 5.57%

Therefore,

Krell's equity cost of capital, or expected total return, is 5.57%.

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Answer:

y = 3/2x (This should be the correct answer do to the fact the slope is 3/2 and the points on here are 1, 1 which would most likely mean the y-intercept is 0. So we don't need to write the y-intercept on this equation.

The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

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Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

Total number of students = 10

Total number of girls = 5

Total number of boys = 5

Number of ways in which the first student is selected is given as,

Number of ways in which the second student is selected is given as,

Total number of ways in which both the students are selected is given as,

Number of ways in which a girl is selected is given as,

Number of ways in which a girl is selected is given as,

Number of ways in which a boy is selected is given as,

The probability in which in first student selected is a boy and the second student selected is a girl is ,

Thus the required probability is 0.28 .

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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Answer:

10

Step-by-step explanation:

to convert to yard from feet you have to divide by 3

30/3-10 so he through the ball 10 yards

have a great day :D

Step-by-step explanation:

y - y1 = m(x - x1)

y - 1 = 1/5(x + 2)

y = x/5 + 2/5 + 1

y = x/5 + 7/5