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3 years ago

How to factor out 7x^6

Mathematics

1 answer:

Nataly_w [17]3 years ago

8 0

Answer:

Step-by-step explanation:

so you do 7 times 6 and you should get 42

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How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/

ale4655 [162]

Answer:

3/2 miles per hour

Step-by-step explanation:

How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/6?

Given data

distance= 1/2 miles

time= 1/3 hour

Speed= distance/time

Substitute

Speed= 1/2/1/3

Speed= 1/2*3/1

Speed= 3/2 miles per hour

3 0

3 years ago

1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,

gladu [14]

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

$\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988$

The combined proportion is:

$\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989$

(a)

The hypothesis is:

H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.

Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.

Compute the test statistic as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78$

Compute the p-value as follows:

$p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075$

The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of z for 99% confidence level is 2.58.

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\$

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

6 0

3 years ago

If john has 2 apples and gives sam 1 apple how many will john have ?

Effectus [21]

Answer:

Step-by-step explanation:

2-1=1

4 0

3 years ago

Tim buys a torch and battery the torch costs 11 times as much as the battery Tim pays with a ?10 note and he gets ?4.84 change h

KengaRu [80]

The cost of 1 battery is 0.43

Step-by-step explanation:

Let the cost of 1 battery be x

We are given that the torch costs 11 times as much as the battery

Cost of torch = 11x

Total cost of 1 battery and torch = 11x+x=12x

Tim pays $10

He receives change of $4.84

Total cost of 1 torch and battery = 10 - 4.84 =$5.16

So, $12x= 5.16$

$x= \frac{5.16}{12}$

$x=0.43$

Hence the cost of 1 battery is 0.43

6 0

3 years ago

Help meh pwease <3 Have a great day y’all!

Alexxandr [17]

The first thing you would do is add all the numbers to get the total budget : $1500

Next you would calculate the present to get : 24.2% or just 24% if your rounding

3 0

3 years ago