help please i need it asap

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.

Answer:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent

✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …

Answer:

C, the graph is increasing when x is between -1 and 2.

Step-by-step explanation:

When it is increasing, it is getting higher up the y axis. The other two lines are going lower down the x axis so they are decreasing. This means that it has to be C.

hope this helps :)

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]

Answer:

C

Step-by-step explanation:

there are 4 of the exact same line going in 4 directions

40 cubic units, just count them my guy

you got a chunk of 32 and a chunk that's 8

Answer:

The volume is 588 ft³

Step-by-step explanation:

[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]

Answer:

254.6 ft3 F

Step-by-step explanation:

To find the volume of the pyramid, first calculate the area of the base.

As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.

To find the area of the equilateral triangle, calculate the length of the height.

Since the triangle is equilateral, each angle in the triangle equals 60°.

The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.

Therefore, the length of the height of the triangle is 73‾√ ft.

To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.

Substitute 14 for b and 73‾√ for h.

B=12⋅14⋅73‾√

Simplify.

B=493‾√ ft2

To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.

Substitute 493‾√ for B and 9 for h.

V=13⋅493‾√⋅9

Simplify.

V=1473‾√

Use a calculator to approximate.

V≈254.6 ft3

Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.

Answer:

D

Step-by-step explanation:

Answer:

it is D im 99% sure

Step-by-step explanation:

dddddddd

Answer:

23

Step-by-step explanation:

Answer:

MAX: (8, 2)

too lazy to write out the solution, sorry.

Answer:

this is what i got -2(x-9)(-7) hope it helps

Step-by-step explanation:

Answer:

1. Yes

2. They could change the 60° angle into a different one.

Step-by-step explanation:

1. Two triangles are the same if they share two side lengths with the same angle between them.

2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.

Answer:

The equation of the line is x = 2

Answer:

x = 2

Step-by-step explanation:

When you are given a straight line whether it's horizontal or vertical on a graph and is told to write it as an equation,

it can be a horizontal line, y = the number the line is on from the y-axis

or a vertical line, x = the number the line is on from the x-axis.

In this case you have a vertical line so the equation would be

x = the number the line is on from the x-axis, which is 2 so your final answer would be

x = 2

Answer:

look at the picture

Step-by-step explanation:

I'm not sure about the value of x but I believe it is -23

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

Answer:

None

Step-by-step explanation:

No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.

Answer:

D) Africa has more users than the Middle East but fewer users than North America.

Step-by-step explanation:

Hope it helps :)

Answer:

The answer is 40 Centimeters.

Step-by-step explanation:

This answer is correct since there are 4 rows of 10, creating the Rectangular prism.  i hope this helped!

Answer:

156.00

Step-by-step explanation:take away 8% sales tax away from it

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that [tex]p = 0.2[/tex]

Sold seven trucks:

This means that [tex]n = 7[/tex]

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]

[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]

[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]

0.148 = 14.8% probability that they will need to order at least one more new transmission

Answer:

B

Step-by-step explanation:

Firstly, we will take a look at the equation and the options listed to choose from.

Secondly, we notice these options are reffering to rational and irrational numbers.

A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.

As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.

.............................................................................................................

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)

B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.

According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.

By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.

[tex]A = (3)\cdot \sqrt{5}[/tex]

[tex]A = 3\sqrt{5}[/tex]

Hence, the right answer is B.

We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650

Answer:

1/4 or 25%

Step-by-step explanation:

The probability for rolling an odd number is 50% or  [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]

The probability for rolling two odd numbers in a row is

[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]

So, the probability of rolling an odd number twice is 25% or  [tex]\frac{1}{4}[/tex].

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.

The first and the second sequence are arithmetic and geometric sequence, respectively

The first number in both sequences is 14

From the question, we have the following rules

Start = 7

Multiply by 2

Start = 8

Add = 2

So, the numbers in the sequence are:

Rule 1: 7, 14, 28, 56......

Rule 2: 8, 10, 12, 14, .....

By comparing the numbers in the sequence, we can see that the first number in both sequences is 14

Read more about sequence at:

https://brainly.com/question/6561461

Answer:

walks dogs for 3 hours on Saturday and 4 hours on

Sunday. She calculates her total pay to be $57.75.

Which equation could be used to check the reasonableness of her total?

Step-by-step explanation: concept

Answer: Multipulcation

Step-by-step explanation:

The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]

Answer:

5x+40

Step-by-step explanation:

You would distribute 5 to x+8 and that would add up to 5x+40.

Answer:

Step-by-step explanation:

5x+40

Answer:

hi

Step-by-step explanation: