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3 years ago

Simplify 2(5x -y)-3(3x-y)

Mathematics

1 answer:

EleoNora [17]3 years ago

8 0

10x-2y-9x-3y
the answer is 1x-5y

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Jordon is 12 years older than ana .The sum of their ages is 50 find the age of each person

leva [86]

Ana is 19 and Jordon is 31.

8 0

3 years ago

In a sample of 388 people in a certain, 22% had red hair. Find a 99% confidence interval for the proportion of people in the cou

Anit [1.1K]

Answer: (0.1658, 0.2742)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where n= sample size

z*= Critical value

$\hat{p}$ = sample proportion.

As per given , we have

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

According to z-table, Critical value for 99% confidence interval : z*=2.576

Let p be the proportion of people in the country that have red hair.

n= 388

$\hat{p}=0.22$

Now, required confidence interval for proportion of people in the country that have red hair will be :-

$0.22\pm (2.576)\sqrt{\dfrac{0.22(1-0.22)}{388}}$

$0.22\pm (2.576)\sqrt{0.000442268}$

$0.22\pm (2.576)(0.02103)$

$(0.22-0.05417328,\ 0.22+0.05417328 )=(0.16582672,\ 0.27417328)\\\\\approx(0.1658,\ 0.2742)$

The 99% confidence interval for the proportion of people in the country that have red hair= (0.1658, 0.2742)

8 0

3 years ago

What is the answer to the equation (x-5)^2=40

Citrus2011 [14]

Answer:

x^2 -10x - 15 = 0

(don't know how far you want me to go)

Step-by-step explanation:

(x - 5)^2 = 40

(expand the brackets)

(x - 5)(x - 5) = 40

x^2 -5x -5x + 25 = 40

x^2 -10x + 25 = 40

x^2 -10x - 15 = 0

3 0

3 years ago

Write

Basile [38]

Answer:

2a + 4 > 12

Step-by-step explanation:

4 0

3 years ago

Select the correct difference.

scZoUnD [109]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

$5d^2+4d-3-(2d^2-3d+4)$

We need to find the correct difference.

Collect the like terms together.

$5d^2+4d-3-(2d^2-3d+4)\\\\=5d^2+4d-3-2d^2+3d-4\\\\=5d^2-2d^2+4d+3d-3-4\\\\=3d^2+7d-7$

Hence, First option is correct.

5 0

3 years ago

Read 2 more answers