What is the next fraction in this sequence? Simplify your answer.

ryzh [129]

11w(w-22) Multiply 11w times each term in the parenthesis
$11w(w-22)=11w^2-242w$

5 0

2 years ago

The ratio of money in Terry's bank account to Faye's bank account was 3:7. Terry then put £220 in his account and Faye withdrew

Nadusha1986 [10]

Answer:

Terry initially had £390

Step-by-step explanation:

The ratio of the original amount is 3:7

Let the original amount Terry has be t and the original amount Faye has be f

3/7 = t/f

or simply 3f = 7t ••••••(i)

Terry putting 220 means he now has

t + 220

Faye withdrew 300

He now has f-300

These values are equal

t + 220 = f-300

f = t+220+300

f = t + 520 ••••••(ii)

Put ii into i

3(t + 520) = 7t

3t + 1560 = 7t

7t-3t = 1560

4t = 1560

t = 1560/4

t = 390

4 0

2 years ago

How can I solve 4x-2>3x+5

cluponka [151]

You would move over the -2 making the equation look like this 4x>3x+7. Then move the 3x to the other side of the equation making it look like this 1x>7. Thus the answer is x>7.

7 0

2 years ago

Big babies: The National Health Statistics Reports described a study in which a sample of 354 one-year-old baby boys were weighe

Vedmedyk [2.9K]

Answer:

Yes. The data provide enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

P-value=P(t>2.84)=0.0024

Step-by-step explanation:

Hypothesis test on the population mean.

The claim is that the mean weight of one-year-old boys is greater than 25 pounds.

Then, the null and alternative hypothesis are:

$H_0: \mu=25\\\\H_a:\mu>25$

The significance level is α=0.05.

The sample size is n=354. The sample mean is 25.8 pounds and the sample standard deviation is 5.3 pounds. As the population standard deviation is estimated from the sample standard deviation, we will use a t-statistic.

The degrees of freedom are:

$df=n-1=354-1=353$

The t-statistic is:

$t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{25.8-25}{5.3/\sqrt{354}}=\dfrac{0.8}{0.2817}=2.84$

For a right tailed test and 353 degrees of freedom, the P-value is:

$P-value=P(t>2.84)=0.0024$

As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.

There is enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

7 0

2 years ago

Andrew has one book that is 2 3/7 inches thick and a second book that is 3.56 inches thick. If he stacks the books, about how ta

MA_775_DIABLO [31]

Answer:

6 inches

Step-by-step explanation:

So first you would make 2 3/7 a dismal. So that is 2.43. Then you add 2.43 and 3.56 to get 5.99 inches tall. The you round to the nearest whole number to get 6 inches.

3 0

3 years ago

What is the next fraction in this sequence? Simplify your answer.​

What is the next fraction in this sequence? Simplify your answer.