Between which two consecutive whole numbers does 5 lie

the length of diagonal of a rectangular field is 23.7 m and one of its sides is 18.8 m. find the perimeter of the field.

katen-ka-za [31]

Answer:

Approximately 66.4 Meters

Step-by-step explanation:

So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.

$a^2+b^2=c^2$

Plug in 18.8 for either a or b. Plug in the diagonal 23.7 for c.

$(18.8)^2+b^2=23.7^2\\b^2=23.7^2-18.8^2\\b=\sqrt{23.7^2-18.8^2} \\b\approx14.4 \text{ meters}$

Therefore, the length is 14.4 meters. Now, find the perimeter:

$P=2l+2w\\P=2(14.4)+2(18.8)\\P=66.4\text{ meters}$

7 0

3 years ago

Use the dot plot to answer the question.

Tcecarenko [31]

Answer:

Mean of the data set in the dot plot would be: 3.6

Step-by-step explanation:

As we know that Mean from the dot plot can be obtained by:

adding the numbers and then
divide the resulting sum by the number of addends.

Please check the attached figure where the dot plot is also plotted.

From the dot plot, it is clear that

There are 3 dots at 1.

There are 4 dots at 2.

There are 3 dots at 3.

There are 4 dots at 4.

There are 5 dots at 5.

There are 3 dots at 6.

All we have to do is to add the dots and divide the sum by the number of addend dots.

In other words:

There are 3 dots at 1 ⇒ 1+1+1

There are 4 dots at 2 ⇒ 2+2+2+2

There are 3 dots at 3 ⇒ 3+3+3

There are 4 dots at 4 ⇒ 4+4+4+4

There are 5 dots at 5 ⇒ 5+5+5+5+5

There are 3 dots at 6 ⇒ 6+6+6

As there are total 22 dots.

And the sum of all the dots with respect to their plot number = 79

i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79

Thus

Mean of the data set in the dot plot = 79/22

= 3.6

Therefore, Mean of the data set in the dot plot would be: 3.6

4 0

3 years ago

-4+6(-4x+3) combining like terms & distributive property

Damm [24]

After using distributive property and combining like terms the answer is -2

8 0

3 years ago

Read 2 more answers

Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0

3 years ago

A store makes a profit of $15 on a wallet, after a mark up of 60%, what is the selling priceof the wallet?

Ivenika [448]

Answer:

Markup: $9 ; Selling Price: $24

Step-by-step explanation:

The store makes a profit of $15, to find the mark up of 60%, multiply 15 x 60%.

15 x 0.6 = 9

Add the markup price to the original price.

9 + 15 = $24

The selling price is $24

4 0

3 years ago