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2 years ago

Simplify 3/8+1/6 help

1 answer:

6 0

Hey there!

We can solve this problem by cross them

$\frac{3}{8} + \frac{1}{6} = ? 
\\ \\ 8 + 1 = ?
\\ \\ 6 + 3 = ? 
\\ \\ \frac{9}{24} + \frac{4}{24}$

Answer: $\frac{13}{24}$

Good luck on your assignment and enjoy your day!

~ $LoveYourselfFirst:)$

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Y varies directly with x. When y is 105, x is 7. What is k

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Answer:

Given:

varies inversely with

So, we can write it as:

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2 years ago

8 liters is the same as how many gallons? round anwer to the nearst tenth

Alexandra [31]

Answer:

3.785, but rounded to the nearest tenth is 3.8

Step-by-step explanation:

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4 0

2 years ago

Read 2 more answers

Find X and QT. The shape is a Rhombus

kompoz [17]

Answer:

See below ~

Step-by-step explanation:

Sides of a rhombus are equal.

⇒ QT = TS

⇒ x² - 4x - 10 = 6x + 14

⇒ x² - 10x - 24 = 0

⇒ x² + 2x - 12x - 24 = 0

⇒ x (x + 2) - 12 (x + 2) = 0

⇒ (x + 2)(x - 12) = 0

⇒ x = -2 or x = 12

Substitute both values and see which gives a positive value for QT :

When x = -2 :

QT = (-2)² - 4(-2) - 10
QT = 4 + 8 - 10
QT = 2

When x = 12 :

QT = (12)² - 4(12) - 10
QT = 144 - 48 - 10
QT = 86

The 2 possible answers are :

x = -2, QT = 2
x = 12, QT = 86

8 0

1 year ago

The height of a trapezoid can be expressed as x – 4, while the bases can be expressed as x + 4 and x + 9. if the area of the tra

AlexFokin [52]

Answer: 19 cm

Step-by-step explanation:

$A_{trapezoid}=\frac{b_{1}+b_{2}}{2}*h$

99 = $\frac{(x+4 + x+9}{2}*(x - 4)$

99 = $\frac{(2x + 13}{2}*(x - 4)$

198 = (2x + 13)(x - 4)

198 = 2x² + 5x - 52

0 = 2x² + 5x - 250

0 = 2x²- 20x + 25x - 250

0 = 2x(x - 10) + 25( x - 10)

0 = (2x + 25)(x - 10)

0 = 2x + 25 or 0 = x - 10

$-\frac{25}{2}$ = x or x = 10

Since length cannot be negative, $-\frac{25}{2}$ can be disregarded

Larger base: x + 9 = 10 + 9 = 19

5 0

2 years ago

Read 2 more answers

According to the U.S. Bureau of Labor Statistics, 20% of all people 16 years of age or older do volunteer work. In this age grou

Murljashka [212]

Answer:

1. P(X≥35) = 0.0183

2. P(X≤21) = 0.0183

3. P(0.18<p<0.25) = 0.7915

Step-by-step explanation:

We have the proportion for women: pw=0.22, and the proportion for men: pm=0.19.

1. We have a sample of 140 woman and we have to calculate the probability of getting 35 or more who do volunteer work.

This is equivalent to a proportion of

$p=X/n=35/140=0.25$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.22*0.78}{300}}\\\\\\ \sigma_p=\sqrt{0.0006}=0.0239$

We calculate the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.25-0.22}{0.0239}=\dfrac{0.03}{0.0239}=0.8198$

Then, the probability of having 35 women or more who do volunteer work in this sample of 140 women is:

$P(X>35)=P(p>0.25)=P(z>2.0906)=0.0183$

2. We have to calculate the probability of having 21 or fewer women in the group who do volunteer work.

The proportion is now:

$p=X/n=21/140=0.15$

We can calculate then the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.15-0.2}{0.0239}=\dfrac{-0.05}{0.0239}=-2.0906$

Then, the probability of having 21 women or less who do volunteer work in this sample of 140 women is:

$P(X$

3. For the sample with men and women, we use the proportion for both, which is π=0.2.

The sample size is n=300.

Then, the standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.2*0.8}{300}}\\\\\\ \sigma_p=\sqrt{0.0005}=0.0231$

We can calculate the z-scores for p1=0.18 and p2=0.25:

$z_1=\dfrac{p_1-\pi}{\sigma_p}=\dfrac{0.18-0.2}{0.0231}=\dfrac{-0.02}{0.0231}=-0.8660\\\\\\z_2=\dfrac{p_2-\pi}{\sigma_p}=\dfrac{0.25-0.2}{0.0231}=\dfrac{0.05}{0.0231}=2.1651$

We can now calculate the probabilty of having a proportion within 0.18 and 0.25 as:

$P=P(0.18$

5 0

3 years ago