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3 years ago

1 5/6 −(x− 7/12 )+2 1/12 =0.9

1 answer:

5 0

The answer is x=3.6 or 3 3/5.

First we convert the decimal answer to a fraction; 0.9 is read as "nine tenths," so the corresponding fraction is 9/10:

1 5/6 - (x - 7/12) + 2 1/12 = 9/10

Now we find a common denominator. The first thing that 6, 12 and 10 will all divide into is 60:

1 50/60 - (x - 35/60) + 2 5/60 = 54/60

Distributing the negative, we have:
1 50/60 - x + 35/60 + 2 5/60 = 54/60

Combining like terms, we have:
-x + 4 30/60 = 54/60

Subtracting 4 30/60 from each side, we have:
-x + 4 30/60 - 4 30/60 = 54/60 - 4 30/60
-x = -3 36/60

Divide both sides by -1:
-x/-1 = (-3 36/60)/-1
x = 3 36/60 = 3 3/5 = 3.6

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(1 pt) In a study of red/green color blindness, 950 men and 2050 women are randomly selected and tested. Among the men, 89 have

Ivahew [28]

Answer: (0.066,0.116)

Step-by-step explanation:

The confidence interval for proportion is given by :-

$p_1-p_2\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

Given : The proportion of men have red/green color blindness = $p_1=\dfrac{89}{950}\approx0.094$

The proportion of women have red/green color blindness = $p_2=\dfrac{6}{2050}\approx0.003$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

Now, the 99% confidence interval for the difference between the color blindness rates of men and women will be:-

$(0.094-0.003)\pm (2.576)\sqrt{\dfrac{0.094(1-0.094)}{950}+\dfrac{0.003(1-0.003)}{2050}}\approx0.091\pm 0.025\\\\=(0.09-0.025,0.09+0.025)=(0.066,\ 0.116)$

Hence, the 99% confidence interval for the difference between the color blindness rates of men and women= (0.066,0.116)

4 0

3 years ago

Find the exact or approximate area of the shaded region

Lana71 [14]

Answer: 18.24 cm^2

Step-by-step explanation:

the two 135 degree angles indicate that the third angle (the one with the shaded region) is 90 degrees, which means that the shaded region is within 1/4 of the circle.

1. In order to find the area for that 1/4 region, you would have to find the area of the circle and divide it by 12

[r^2(3.14)]/4 pi is substituted by 3.14, and the radius is 8.

50.24 is the area of 1/4 of the circle.

2. Next you'd have to find the area of the triangle formed by the shaded region, and subtract the triangle from the area of the 1/4 circle.

the triangle is an isoceles triangle with two sides each valuing at 8cm, so to find the area of the triangle you would multiply the two sides (or square them since they're the same number) and divide by two

this means the triangle is 32 cm^2

3. we can subtract the 1/4 circle (50.24) by the area of the triangle (32) to get the area of the shaded region, which is 18.24 cm^2

7 0

3 years ago

6. Matthew is planning to build a right triangular

saul85 [17]

The answer to this question will be B

8 0

3 years ago

The triangular region shows the number of possible ounces of platinum, x, and the number of possible ounces of silver, y, a jewe

LiRa [457]

Below are the choices that can be found elsewhere:

A.12 oz of gold and 20 oz of silver

B.10 oz of gold and 10 oz of silver

C.16 oz of gold and 30 oz of silver

D.25 oz of gold and 20 oz of silver

The answer is A because the points(12,20) are in the blue shaded area.
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

4 0

3 years ago

Hey guys this is really in hard what is 1-5=

Amiraneli [1.4K]

Answer:

-4

Step-by-step explanation:

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3 years ago

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