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4 years ago

Please help due tomorrow All he help you Got

Mathematics

1 answer:

Lunna [17]4 years ago

3 0

A,b,d,e,f,h would be similar because they are all quadrilaterals (they all have four sides) and c,g would be the same because they are both triangles

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In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

Let $\hat p$ = sample proportion of households who own a 4K television.

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0

3 years ago

Find a polynomial f(x) of degree 3 that has the following zeros.

Thepotemich [5.8K]

Answer:

$f (x) = x (x + 5) (x-9)$

Step-by-step explanation:

The zeros of the polynomial are all the values of x for which the function $f (x) = 0$

In this case we know that the zeros are:

$x = 9,\ x-9 =0$

$x = 0$

$x = -5$ , $x + 5 = 0$

Now we can write the polynomial as a product of its factors

$f (x) = x (x + 5) (x-9)$

Note that the polynomial is of degree 3 because the greatest exponent of the variable x that results from multiplying the factors of f (x) is 3

3 0

3 years ago

The third day Jim plans to snow board. The boards rent for $8.95 an hour, and the boots

olganol [36]

Answer: $113.55

Step-by-step explanation:

add up the cost of the lesson, boots, board, and ticket

the lesson costs $33.80 and the ticket costs $25, these cover the whole day so no need to be multiplied. the boots cost $2 and the board costs $8.95 each hour, jim will need to pay the cost of both 5 times for 5 hours.

here is the equation to solve

33.80 + 5(8.95 + 2.00) + 25 =

33.80 + 5(10.95) + 25 =

33.80 + 54.75 + 25 =

33.80 + 79.75 = 113.55

the total cost is $113.55

4 0

3 years ago

A square pyramid and a cube have the same surface area don’t of each side of the base of the Square pyramid is 10 feet the width

o-na [289]

Answer:

The lateral height of the square pyramid is $5.8\ ft$

Step-by-step explanation:

step 1

Find the surface area of the cube

The surface area of the cube is equal to

$SA=6b^{2}$

where

b is the length side of the cube

w have

$b=6\ ft$

substitute

$SA=6(6^{2})=216\ ft^{2}$

step 2

Find the lateral height of the square pyramid

we know that

the surface area of the square pyramid is equal to

$SA=B+4(\frac{1}{2}bh)$

where

B is the area of the base

b is the base of the lateral triangle (base of the square)

h is the lateral height of the square pyramid

$B=(10^{2})=100\ ft^{2}$

$SA=216\ ft^{2}$ -----> is the same surface that the cube

$b=10\ ft$

substitute the values and solve for h

$216=100+4(\frac{1}{2}*(10)*h)$

$216-100=20h$

$h=116/20=5.8\ ft$

6 0

3 years ago

Find the probability of rolling a 2,3, or 4 on the number cube

kolezko [41]

Well, if you wanted the answer, it is provided in the picture that you yourself have uploaded. However, if need more clarification on how to find that answer. Here I go.

So, you can ask yourself, how many numbers are on the cube? 6, from 1-6. So there are 6 possible outcomes. Now between the numbers 1, 2, 3, 4, 5, 6, how many are the numbers 2, 3, or 4? There are 3, so it is 3/6, 1/2, 50%, or 0.5.

3 0

3 years ago