Know how to calculate sample size: A restaurant would like to estimate the average $ amount of a take-out order. The standard deviation is $15. If a 99% confidence level and an interval (error) of $5 is desired, how many customers should be in the sample?
Which of the following examples would use the z-distribution:______.
a. x = 100; µ = 99; s = 5; n = 70
b. x = 50; µ = 53; σ = 7; n = 15
c. x = 7; µ = 4; s = 1; n = 20
d. x = 15; µ = 17; σ = 3; n = 45

Answer:

you're right it's 218

Step-by-step explanation:

you simply just put 5 instead of n in the equation then calculate. It's simple as that!

Answer:

That is not true because a integer is 0, 3,6,9..... so a negative would not be true

Step-by-step explanation:

Answer:

the answer is (3, 6)

happy to help!

Answers:

8

6

1

3

Reason:

Add 5 to each value in the f(x) column.

Example: 3+5 = 8 for the first row.

This will shift each point 5 units up. This is because we're moving 5 units up the y axis.

Answer:it is B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

One of the Possible values of length and width of the prism are 15 cm and 0.5 cm

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Given here: The volume of the prism is 2¹/₂=2.5 cm³

And the height is 1/3 cm

let the length and breadth of the prism is x and y respectively.

We know the volume of the prism as

1/3 × x×y=2.5

x×y=7.5

Thus possible values of length and breadth are the factors of 7.5

out of which one of the pair whose length is 15 cm and width 0.5 cm

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Answer:

The p-value falls between 0.005 and 0.01.

Step-by-step explanation:

Random sample of 30 observations, you obtain t = 2.35

This means that the pvalue is 1 subtracted by the pvalue of Z = 2.35, as we are testing that the mean is more than a value.

Looking at the z-table, z = 2.35 has a pvalue of 0.9906

1 - 0.9906 = 0.0094

So, between 0.005 and 0.01.

Answer: The p-value falls between 0.01 and 0.02.

Step-by-step explanation: I took the FLVS test.

Answer: length, width, and hight

hope this helps \(￣︶￣*\))

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Step-by-step explanation:

7x×5x=140

35x²=140

x²= 4

x=2

Smaller number = 5x = 5×2=10

Hope this helps you.

Answer:

B the set of all natural numbers and the ser of all

Answer:

B D B C

Step-by-step explanation:

rational numbers, real numbers

3

irrational

rational

a. Z, Q, R b. Q, R c. N, Z, Q, R d. R

3

8

= 0.375, nonrepeating, terminating; 5

6

=

0.83, repeating, nonterminating; 12

15 = 0.8,

nonrepeating, terminating; 7

11 = 0.63,

repeating, nonterminating

real, irrational; real, rational, whole

Answers may vary. Sample: − 50

Answer:

1/6

Step-by-step explanation:

Answer:

1/4× 2/3= 1/6

Please mark as brainliest!!!

Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

Answer: the actual price is $8.625

Step-by-step explanation: the student multiplied 15x7.5 which gave him 112.50 when he should have done 15/100 = 0.15 x 7.50 = 1.125 +7.50= 8.625

Answer:

Good for Lily.

Step-by-step explanation:

On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )

A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{     double d = Math.sqrt(b*b - 4*a*c);     if(flag)

{         return (-b + d) / (2*a);     }

else {         return (-b - d) / (2*a);     } }

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The time taken is 5.3 years.

Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.

Compound interest is when you receive interest on both your interest income and your savings.

Given:

P = 50, 000

W= 5000

r= 1.8%= 0.018

n= 2

Using, P = W (1- \((1+ r/n)^{-nt}\)) / (r/n)

Putting all the values we get

P = W (1- \((1+ r/n)^{-nt}\)) / (r/n)

50000 = 5000 (1- \((1+0.018/2)^{-2t}\)) / (0.018/2)

10 = (1- \((1+0.009)^{-2t}\)) / (0.009)

0.09 = 1 - \((1.009)^{-2t\)

\((1.009)^{-2t\) = 0.91

Taking log on both side

-2t log 1.009 = log 0.91

t= log 0.91/ (log 0.091) / (-20

t= 5.3

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Answer:

16.04%

Step-by-step explanation:

53.03$- 63.16$= -10.13

-10.13$/63.16$=-0.16038

rounding 8 making the 3 a 4

16.04%

Answer:

3 to 8

Step-by-step explanation:

There are 24 total shapes, 9 of which are circles. So we have the ratio 9 to 24, or 3 to 8.

Answer: The total profit is $129

Step-by-step explanation:

The total revenue, was $147 (the total they earned), and the cost of the materials is $18 (how much they returned for the materials)

The total profit is computed as the difference between the revenue and the costs, then the total profit of the kids in this case is:

Profit = $147 - $18 = $129

This means that Tia and Jaden earned $129, if they divide it evenly, each one of them gets $129/2 = $64.5

Answer:

63

Step-by-step explanation:

there are 63 pounds of fish in each bucket

Answer:-5/z ; z=5 solution -1

Step-by-step explanation:

-5/5

Step-by-step explanation:

4x - 12 < 16 + 8x

Bringing like terms on one side

-12 - 16 < 8x - 4x

-28 < 4x

-28/4 < x

-7 < x

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \underset{\textit{we'll use this one}}{log_a a^x = x}\qquad \qquad a^{log_a x}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ 2.7e^x-5 ~~ = ~~33.6\implies 2.7e^x~~ = ~~38.6\implies e^x=\cfrac{38.6}{2.7} \\\\\\ \log_e(e^x)=\log_e\left( \cfrac{38.6}{2.7} \right)\implies x=\ln\left( \cfrac{38.6}{2.7} \right)\implies x\approx 2.66\)

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$

\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}

100 sin 35° = 80 sin 55°=57.73 mT

herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.

Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.

To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.

Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.

Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.

To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.

(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus

:$$c^2 = a^2 + b^2$$

where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$

c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$

Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.

Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$

Therefore, the bearing of the boy's current position from the starting point is N51°E.

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Answer:

y = 3x - 6

Step-by-step explanation:

Slope-interecept form is a "fill-in-the-blank" formula for writing the equation of a line. It is in the form:

y = mx + b

You fill in the slope for m and fill in the y-intercept for b.

You could totally graph these points and see the slope and y-intercept. But here's how to find them on the table.

When x is 0, y is -6. The y-intercept is where x is 0. So here, the y-intercept is -6. That is b. Fill in -6 in place of b.

y = mx + -6

Next pick any two points. I'm using the last two (3,3) and (4,6). Subtract the y's. 6-3 is 3, put that on top of a fraction. Subtract the x's, 4-3 is 1. Put that on the bottom of a fraction. That is the slope, 3/1. That is the m. Fill it in.

y = 3/1 x + -6

Clean it up (simplify)

y = 3x - 6

The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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