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3 years ago

The local school board needs to choose whether to build an addition to the elementary school library or remodel the

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

7 0

Answer:

A random sample of 10% of all taxplayers

Step-by-step explanation:

Smaller sample sizes may not be representive of the population

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1. A flower shop wishes to add the valuable Waimea orchid to its product list. They purchase a large shipment of bulbs from a su

AysviL [449]

Answer:

The concern of the florist that these bulbs are not Waimea orchids, but a similar appearing hybrid maybe true.

Step-by-step explanation:

A Chi-square goodness of fit test can be used to perform the hypothesis test.

The hypothesis is defined as:

H₀: There is no difference between the observed and expected value.

Hₐ: There is a difference between the observed and expected value.

The test statistic is:

$\chi^{2}=\sum \frac{(O-E)^{2}}{E}$

The total number of Waimea orchid bulbs is, 60.

7x + 5x + 4x + 4x = 60

20x = 60

x = 3

The expected number of Waimea orchid bulbs are:

Blue = 7 × 3 = 21

Red = 5 × 3 = 15

Violet = 4 × 3 = 12

Orange = 4 × 3 = 12

Consider the table provided.

The test statistic value is:

$\chi^{2}=\sum \frac{(O-E)^{2}}{E}=14.981$

The decision rule:

The null hypothesis will be rejected if $\chi^{2}\geq \chi^{2}_{\alpha, (k-1)}$ .

Compute the critical value as follows:

$\chi^{2}_{0.05, (4-1)}= \chi^{2}_{0.05, (3)}=7.815$

The test statistic value is 14.981.

$\chi^{2}=14.981> \chi^{2}_{\alpha, (k-1)}=7.815$

The null hypothesis will be rejected at 5% level of significance.

Conclusion:

As the null hypothesis was rejected it implies that there is a significant difference between the observed and expected value.

Thus, the concern of the florist that these bulbs are not Waimea orchids, but a similar appearing hybrid maybe true.

4 0

3 years ago

A new sidewalk will be 6 feet wide, 140 feet long, and filled to a depth of 9 inches ( 0.75foot) with concrete. How many cub

Lesechka [4]

36.1 cubic yard of concrete is needed

7 0

2 years ago

Solve: 25x^2 - 36 = 0

alexira [117]

Answer: 6/5 and -6/5

Step-by-step explanation: In order to solve this problem, we want to get the variable on one side. In order to do that, we must do the following:

Add 36 on Both Sides:

$25x^2 - 36+36 = 0+36$

Divide 25 on Both Sides:

$\frac{25x^2}{25}= \frac{36}{25}$

Take the square root of Both Sides:

$\sqrt{x^2} = \sqrt{\frac{36}{25} }$

That means your answer is:

$x = \frac {6}{5}$ , or $-\frac {6}{5}$

7 0

3 years ago

May I please receive help?

Nata [24]

The Isosceles triangle has two equal side
So 35 + 35 + the another angle = 180
The another angle = 110
The straight angle = 180 - 110 = 70
The Isosceles triangle = 70 + 70 + x = 180
So x = 40

Please give me a brainliest answer

8 0

3 years ago

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rect

AfilCa [17]

Let

x-------> the length side of the original cube

we have

$2x^{3} +8x=450\\2x^{3}=450-8x$

Divide by $2$ both sides

$x^{3}=225-4x$

The system of equations is equal to

$y=x^{3}$ --------> equation $1$

$y=225-4x$ --------> equation $2$

using a graphing tool

see the attached figure

we know that

the solution of the system of equations is the intersection both graphs

therefore

the solution is

$x=5.86\ in$

therefore

the answer is

$5.86\ inches$

6 0

3 years ago

Read 2 more answers