All categories

3 years ago

Explain how you can use estimation to place the decimal point in the quotient 42.66÷22

1 answer:

5 0

42.66 / 22 = 1.939, So if you are estimating than anything that is 5 or over is estimated to the top, and anything 4 or less is estimated to the bottom. So in this case 1.939 is estimated to 1.94

You might be interested in

Popcorn kernels pop independently (i.e. unimolecularly). For one brand at constant temperature, 12 kernels pop in 5 seconds when

likoan [24]

Answer:

no of kernels pop = 4.34

Step-by-step explanation:

given data

kernels pop in 5 second = 12

kernels are present = 235

solution

we get here kernels are pop at rate of here

kernels are pop at rate = 12 ÷ 235

kernels are pop at rate = 0.051063

and

we get here maximum kernels are remaining that is

maximum kernels remaining = 235 - 140

maximum kernels remaining = 85

no of kernels pop in 5 second will be

no of kernels pop = 0.051063 × 85

no of kernels pop = 4.34

7 0

3 years ago

If you rolled two dice, what is the probability

jekas [21]

Answer:

1/36.

Step-by-step explanation:

A total number of possible outcomes = 36.

To get a sum of 12 the possible outcomes are just 6,6.

7 0

1 year ago

Read 2 more answers

The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is regi

yan [13]

Answer:

We conclude that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote.

Step-by-step explanation:

We are given that 513 employed persons and 604 unemployed persons are independently and randomly selected, and that 287 of the employed persons and 280 of the unemployed persons have registered to vote.

Let $p_1$ = percentage of employed workers who have registered to vote.

$p_2$ = percentage of unemployed workers who have registered to vote.

So, Null Hypothesis, $H_0$ : $p_1\leq p_2$ {means that the percentage of employed workers who have registered to vote does not exceeds the percentage of unemployed workers who have registered to vote}

Alternate Hypothesis, $H_A$ : $p_1>p_2$ {means that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote}

The test statistics that would be used here Two-sample z test for proportions;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of employed workers who have registered to vote = $\frac{287}{513}$ = 0.56

$\hat p_2$ = sample proportion of unemployed workers who have registered to vote = $\frac{280}{604}$ = 0.46

$n_1$ = sample of employed persons = 513

$n_2$ = sample of unemployed persons = 604

So, the test statistics = $\frac{(0.56-0.46)-(0)}{\sqrt{\frac{0.56(1-0.56)}{513}+\frac{0.46(1-0.46)}{604} } }$

= 3.349

The value of z test statistics is 3.349.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of z as 3.349 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote.

5 0

3 years ago

The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How m

densk [106]

Answer:

1083 seats

Step-by-step explanation:

this is an arithmetic sequence :

an = an-1 + c

in our case

a1 = 10 (10 seats in the first row)

a2 = a1 + 1 = 10 + 1 = 11

a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12

an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n

a38 = a1 + 37 = 10 + 37 = 47 seats.

altogether this means the sum of the arithmetic sequence of a1 to a38.

the general sum of an arithmetic sequence from a1 to an is

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

3 0

2 years ago

Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope

vivado [14]

The function is illustrated below based on the information.

<h3>How to describe the function?</h3>

When x <= 8000

The cost remains constant at 0.35 when x increases from 0 to 8000. The slope of the cost function over this part is 0

When 8000 < x <= 20000

The cost remains constant at 0.75 when x increases from 8000 to 20000 and the slope of the cost function over this part is 0.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

5 0

1 year ago