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sertanlavr [38]

3 years ago

8

Find the height of a paralleogram, if its area is 84square inches, its base is 12 inches, and its height is respresented by x +

2.

2 answers:

Ghella [55]3 years ago

4 0

Hope you are having clear concept on this.

pentagon [3]3 years ago

3 0

$\boxed {\text {Area of Parallelogram = base } \times \text{height}}$

<u>Given area = 84 in², base = 12 in and height = (x + 2) in:</u>

12 (x + 2) = 84

-

<u>Find x:</u>

12 (x + 2) = 84

12x + 24 = 84

12x = 84 - 24

12x = 60

x = 5 inches

-

<u>Find height:</u>

Height = x + 2 = 5 + 2 = 7 inches

-

Answer: Height = 7 inches

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What is the median of the data displayed in this box-and-whisker plot? A.41 B.49 C.55 D.58

lutik1710 [3]

The median in a whisker plot is the dot or line in the box on the line. In this case, the dot is at 41, so the median is 41.

ANSWER: A) 41 is the median

Hope this helps! :)

7 0

3 years ago

Read 2 more answers

(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist

Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

$X=620$ number of people that would vote for the Republican candidate

$n=1200$ random sample taken

$\hat p=\frac{620}{1200}=0.517$ estimated proportion of people that would vote for the Republican candidate

$p$ true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1- p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The problem says that we need to use $\hat p =0.05$ , and replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604$

And rounded we have that n=9604

6 0

3 years ago

If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?

kondaur [170]

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, $x_1=-8, y_1=-6, x_2=-4, y_2=-14$

$$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)$

$$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)$

$$P(x, y) =(-6, -10)$

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here, $x_1=-6, y_1=-10, x_2=-8, y_2=-6$

$r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}$

$r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}$

$r=\sqrt{(-2)^{2}+(4)^{2}}$

$r=\sqrt{20}$ units

The standard form of the equation of a circle is

$(x-a)^{2}+(y-b)^{2}=r^{2}$ , where (a, b) are center and r is the radius.

Here, center = (–6, –10) and $r=\sqrt{20}$

$(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}$

$(x+6)^{2}+(y+10)^{2}=20$

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

4 0

3 years ago

Can someone help me please?

Elena-2011 [213]

<h3>Answer: 4368 square feet</h3>

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)
In the upper right corner, we have an area of 70*6 = 420
In the lower left corner, we have an area of 50*8 = 400
In the lower right corner, we have an area of 6*8 = 48

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

8 0

3 years ago

Given h(a) = 5x – 2. find h(5)

Maru [420]

Answer:

23

Step-by-step explanation:

h(a) = 5x-2

h(5) = 5(5)-2

h(5) = 25-2

h(5) = 23

8 0

3 years ago

Read 2 more answers