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2 years ago

I need help on number 6

Mathematics

1 answer:

taurus [48]2 years ago

7 0

Answer:

x = 0

Step-by-step explanation:

First we set up our equation. From the picture we can see that:

11 + x + 1 = 2x + 12

Now we can gather our like terms:

x + 12 = 2x + 12

Lets subtract x from both sides to isolate the x on the left:

12 = x + 12

Next we subtract 12 from both sides

x = 0

Check the answer

11 + 0 + 1 = 2(0) + 12

12 = 0 + 12

12 = 12

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Please help it’s urgent :(

Nadusha1986 [10]

Answer: the answer is 0.04

Step-by-step explanation:

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2 years ago

1/6divid by 5 and I need help for my sis that is 2

elixir [45]

Answer:

The answer is 5/6

Step-by-step explanation:

1/6 x 5 is 5/6. You can do 1 x 5 which is 5. You don't need to multiply anything else. The answer is 5/6

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2 years ago

One day at St. Philip's High School, 1/2 of the pupils walked to school, 1/5 of the pupils came to school by bus, and the remai

Sergio [31]

The first thing to do is the make the denominators of the fractions the same.

5/10 of the pupils walked to school and 2/10 of the pupils came to school by bus.
5/10 + 2/10 = 7/10.
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3/10 of the pupils came to school by car.

7 0

2 years ago

Rewrite using positive exponents

Oxana [17]

Answer:

Your selection is appropriate

Step-by-step explanation:

A negative exponent in the numerator is equivalent to a positive exponent in the denominator, and vice versa.

... a⁻² = 1/a²

____

2⁴ multiplies the variable expression no matter which way it is written.

4 0

2 years ago

A laptop producing company also produces laptop batteries, and claims that the batteries

gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

$H_0: \mu=4\\\\H_a:\mu< 4$

Step-by-step explanation:

The question is incomplete: To test this claim a sample or population standard deviation is needed.

We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.

NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

$H_0: \mu=4\\\\H_a:\mu< 4$

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902$

The degrees of freedom for this sample size are:

$df=n-1=500-1=499$

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0

2 years ago