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2 years ago

Unit rate for typing 34 words in a minute in a half

Mathematics

1 answer:

katrin [286]2 years ago

6 0

Answer:

Rate is 1.1333 words per second 

Step-by-step explanation:

We understand rating as frequency or speed of doing something per time (seconds mainly)

${ \green{ \tt{rate = \frac{item \: quantity}{time} }}} \\$

Let's find rate in terms of seconds (words per second)

${ \rm{rate = \frac{34 \: words}{ (\frac{1}{2} \times 60) \: seconds} }} \\ \\ { \rm{rate = \frac{34}{30} }} \\ \\ { \rm{rate = 1.133 \: \: words \: per \: second}}$

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Find the value of x if DE is the midsegment of triangle ABC and

Varvara68 [4.7K]

Answer

Find out the value of x.

To prove

Definition of mid- segment

It is a segment connecting the midpoints of two sides of a triangle.

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

As shown in the triangle given below.

As given

DE = 5x and BC = 11x – 15

Thus

$DE = \frac{BC}{2}$

$5x = \frac{11x-15}{2}$

$5x\times 2 = 11x-15$

$10x = 11x-15$

15 = 11x - 10x

15 = x

Therefore the value of x is 15 .

8 0

3 years ago

Y= 2x-8,what is the slope and the y-intercept

Natalija [7]

Hi is the answer so this makes it okay to do thing when you have it

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3 years ago

Select the two binomials that are factors of this trinomial x^20 - x - 20

Mashcka [7]

Answer:

$(x-5)(x+4)$

Step-by-step explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to -20 and add to -1 for a and b.

20: 1, 2, 4, 5, 10, 20

-5+4 = -1

$x^2-x-20 = (x-5)(x+4)$

8 0

3 years ago

In preparation for an earnings report, a large retailer wants to estimate p= the proportion of annual sales

mr Goodwill [35]

Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The sample size and the estimate are given by:

$n = 161, \pi = \frac{37}{161} = 0.2298$

Hence:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948$

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

More can be learned about the z-distribution at brainly.com/question/25890103

5 0

2 years ago

M^2 + 2m - 15 =0 sorry

agasfer [191]

(m - 3)(m + 5)= 0
m= {3, -5}

3 0

3 years ago