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antiseptic1488 [7]

2 years ago

10

The perimeter of a rectangle is 94 inches and the length is 6 inches what is the width of the rectangle?round to the nearest ten

th if necessary

1 answer:

Paha777 [63]2 years ago

7 0

Answer:

Width is 41 inches

Step-by-step explanation:

Subtract 12 since there are two sides with lengths of 6, then divide that by to get the width of one of the sides

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Find the sum of each set of numbers, as well as the size n of each set of numbers (n = number of numbers in the set). Use these

guapka [62]

We have to add numbers without a calculator.

1) 25, 35, 19, 31

We can group them by the last digit, so they are easy to add:

25 + 35 = 20 + 30 + 5 +5 = 50 + 10 = 60

19 + 31 = 10 + 30 + 9 +1 = 40 + 10 = 50

Then, 60 + 50 = 110

numbers in the set n = 4

Sum = 110

2) 101, 73, 49, 27, 24, 36

We can group them again by the last digit (adding 10, like the previous example).

We can substract the last digit from one number and add it to the other one. The result will be the same, but they will become easier to add.

101 + 49 = 100+50 = 150

73 + 27 = 70 + 30 = 100

24 + 36 = 20 + 40 = 60

150 + 100 + 60 = 250 + 60 = 310

numbers in the set n = 6

Sum = 310

3) 25, 25, 25, 30, 30, 30, 32, 32, 32

In this case we have 3 times the same numbers, so we can add the three different numbers and then multiply the total by 3.

We can use the properties of the multiplication to simplify the product (we will use the distributive property)

25 + 30 + 32 = 27 + 30 + 30 = 87

87 * 3 = 80*3 + 7*3 = 240 + 21 = 261

numbers in the set n = 9

Sum = 261

8 0

1 year ago

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = <u>0.1423</u>

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

3 years ago

What is the slope of the line containing (-3, 5) and (6, -1)?

mario62 [17]

Answer:

-2/3

Step-by-step explanation:

The slope of a line can be represented as $\frac{y_{2} -y_{1} }{x_{2}- x_{1} }$ where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:

$\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}$

3 0

2 years ago

Read 2 more answers

Which describes the pilots distance in section 1?

Serjik [45]

Third option, decreasing

6 0

3 years ago

Read 2 more answers

A grosry storehas adisplay that has 60 oranges and 16 apples. what is the ratio of oranges to apples

ki77a [65]

Answer:

30:16-15:8 That is simplified and I divided it by two.

6 0

2 years ago