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3 years ago

12

Simplify. Remove all perfect squares from inside the square root.

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1 answer:

IgorLugansk [536]3 years ago

5 0

Answer:

$3 \sqrt{7}$

Step-by-step explanation:

1) Rewrite 63 as its prime factors.

$\sqrt{3 \times 3 \times 7}$

2) Group the same prime factors into pairs.

$\sqrt{(3 \times 3) \times 7}$

3) Rewrite each pair in exponent form.

$\sqrt{ {3}^{2} \times 7 }$

3) Use this rule

$\sqrt{ {x}^{2} } = x$

$3 \sqrt{7}$

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Is (1,-4) a solution to the equation y=-2x?<br> Yes or no? Please help /:

Elden [556K]

No it is not, the solution would need to be (2,-4) in order to satisfy the equation y = -2x -- like so -4 = -2(2)

-4 = -4, otherwise the equation won't be satisfied.

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3 years ago

Read 2 more answers

Find the coordinates of point B along a directed line segment from A(3,4) and

andreev551 [17]

We have been given two points. $A(3,4)$ and $C(3,9)$ . We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio $m:n$ , then coordinates of point P are:

$[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]$

$(x_1,y_1)=(3,4)$ and $(x_2,y_2)=(3,9)$ .

$m=4,n=1$

Upon substituting our given information in above formula, we will get:

$[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]$

$[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]$

$[\right x=\frac{15}{5},y=\frac{40}{5}\left]$

$[\right x=3,y=8\left]$

Therefore, the coordinates of point B would be $(3,8)$ .

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3 years ago

An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was

Masteriza [31]

Answer:

The proportions differ from those reported in the survey.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.

The hypothesis for the test can be defined as follows:

<em>H</em>₀: The proportions does not differ from those reported in the survey.

<em>Hₐ</em>: The proportions differ from those reported in the survey.

Assume that the significance level of the test is, α = 0.01.

The Chi-square test statistic is given by:

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

Consider the Excel sheet provided.

The Chi-square test statistic value is 191.32.

The <em>p</em>-value of the test is:

$p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000$

The <em>p</em>-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.

Thus, concluding that the proportions differ from those reported in the survey.

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3 years ago

What is the greatest common factor of 63 and 63?

ki77a [65]

1 is the answer to your question hope this helps
Answer: 1

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2 years ago

37 of 75 customers in the store made a purchase of at least $20. Approximately what percent of the customers made a purchase of

sladkih [1.3K]

Percents are represented by the following expression:

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1 year ago