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3 years ago

What is the square root of the square root of 22667121? ill give brainliest

Mathematics

1 answer:

sukhopar [10]3 years ago

6 0

Answer:

The square root of 22667121 is 69.

Step-by-step explanation:

can i get brainliest plz

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What is the solutuon to the eqation 1/2x+3=2/3x+1

pishuonlain [190]

Answer:

x =12

Step-by-step explanation:

1/2x + 3 = 2/3x + 1

1/2 = 3/6 ; 2/3 = 4/6

3 - 1 = 4/6x - 3/6x

2 = 1/6x

x = 12

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2 years ago

Mario has a rectangular prism completely filled with sand that has a base area of 85 cm² and a height of 15 cm. Mario pours all

just olya [345]

The base area of this second rectangular prism is 51 cm²

The rectangular prism completely filled with sand has a base area of 85cm² and height of 15cm .

<h3></h3><h3> volume of a rectangular prism</h3>

volume = Bh

where

B = base area

h = height

Since the first rectangular prism was completely filled with sand and it completely filled the second rectangular prism, it means they both have the same volume.

Therefore,

volume of the first rectangular prism = volume of the second rectangular prism.

volume = Bh

volume = 85 × 15

volume = 1275 cm³

Therefore, the base area of the second rectangular prism can be calculated as follows:

volume = Bh

1275 = 25B

B = 1275 / 25

B = 51 cm²

learn more on prism here: brainly.com/question/2517494?referrer=searchResults

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2 years ago

A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. the polygon is

nasty-shy [4]

Answer: D. if a is greater than 1, the image of the polygon is smaller than the polygon

Step-by-step explanation: MARK ME BRAINLIEST!!!!

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3 years ago

HELPPp!!!!!!<br><br> What is the surface area of the figure below?

kogti [31]

Answer:

Step-by-step explanation:

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3 years ago

A coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that

mafiozo [28]

Answer:

(a) The significance level of the test is 0.002.

(b) The power of the test is 0.3487.

Step-by-step explanation:

We are given that a coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that the probability is not 0.5.

The test rejects the null hypothesis if either 0 or 10 heads are observed.

Let p = <u><em>probability of obtaining head.</em></u>

So, Null Hypothesis, $H_0$ : p = 0.5

Alternate Hypothesis, $H_A$ : p $\neq$ 0.5

(a) The significance level of the test which is represented by $\alpha$ is the probability of Type I error.

Type I error states the probability of rejecting the null hypothesis given the fact that the null hypothesis is true.

Here, the probability of rejecting the null hypothesis means we obtain the probability of observing either 0 or 10 heads, that is;

P(Type I error) = $\alpha$

P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true) = $\alpha$

Also, the event of obtaining heads when a coin is thrown 10 times can be considered as a binomial experiment.

So, X ~ Binom(n = 10, p = 0.5)

P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true) = $\alpha$

$\binom{10}{0}\times 0.5^{0} \times (1-0.5)^{10-0} +\binom{10}{10}\times 0.5^{10} \times (1-0.5)^{10-10}$ = $\alpha$

$(1\times 1\times 0.5^{10}) +(1 \times 0.5^{10} \times 0.5^{0})$ = $\alpha$

$\alpha$ = 0.0019

So, the significance level of the test is 0.002.

(b) It is stated that the probability of heads is 0.1, and we have to find the power of the test.

Here the Type II error is used which states the probability of accepting the null hypothesis given the fact that the null hypothesis is false.

Also, the power of the test is represented by (1 - $\beta$ ).

So, here, X ~ Binom(n = 10, p = 0.1)

$1-\beta$ = P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true)

$1-\beta$ = $\binom{10}{0}\times 0.1^{0} \times (1-0.1)^{10-0} +\binom{10}{10}\times 0.1^{10} \times (1-0.1)^{10-10}$

$1-\beta$ = $(1\times 1\times 0.9^{10}) +(1 \times 0.1^{10} \times 0.9^{0})$

$1-\beta$ = 0.3487

Hence, the power of the test is 0.3487.

3 0

3 years ago