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3 years ago

Need help ! Help needed very much !

Mathematics

1 answer:

aev [14]3 years ago

5 0

Answer:

x/2 > 5

Step-by-step explanation:

Quotient means division

x/2

is more than means greater

x/2 > 5

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The function g is defined as g(x)=5x² – 3. Find g(x+1).

maksim [4K]

Answer:

5x² + 10x + 2

Step-by-step explanation:

g(x + 1) = 5(x + 1)² - 3 = 5( x² + 2x + 1 ) - 3 = 5x² + 10x + 2

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3 years ago

In the figure, PQ is parallel to RS. The length of PQ is 2 cm; the length of

Rashid [163]

Answer:

Step-by-step explanation:

Parallel lines in this kind of triangle are always in a strict ratio of small to large or large to small based on how you look at it. So we have 4cm to 6cm, which is 2:3 ratio. We know the smaller side, but want the larger side, so we can set up 2/3 = 10/? the ? is 15.

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3 years ago

Henry is making a recipe for biscuits. A recipe calls for 5/10 kilogram flour and 9/100 kilogram sugar.how much sugar and flour

Nonamiya [84]

So first find a common denominator which is 100 in this question. Then change 5/10 into a denominator of 100 which is 50/100 you don't have to change 9/100 because it has a denominator of 100. So then add the fractions and the answer is 59/100

7 0

3 years ago

The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years

inn [45]

Answer:

b. The null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0$

c. Student's t distribution, as it is a two-sample test for the difference between means.

d. Test statistic t = 5.42.

P-value = 0

e. They appear to be significantly different, as the sample data gives strong evidence that the difference is greater than 0.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean life spans in the county is significantly different for whites and nonwhites.

Then, the null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0$

The significance level is 0.05.

The sample 1 (white), of size n1=124 has a mean of 45.3 and a standard deviation of 12.7.

The sample 2 (non-white), of size n2=82 has a mean of 34.1 and a standard deviation of 15.6.

The difference between sample means is Md=11.2.

$M_d=M_1-M_2=45.3-34.1=11.2$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12.7^2}{124}+\dfrac{15.6^2}{82}}\\\\\\s_{M_d}=\sqrt{1.301+2.968}=\sqrt{4.269}=2.066$

Then, we can calculate the t-statistic as:

$t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{11.2-0}{2.066}=\dfrac{11.2}{2.066}=5.42$

The degrees of freedom for this test are:

df=n_1+n_2-2=124+82-2=204

This test is a two-tailed test, with 204 degrees of freedom and t=5.42, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=2\cdot P(t>5.42)=0.0000002$

As the P-value (0.0000002) 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 mean life spans in the county is significantly different for whites and nonwhites.

4 0

3 years ago

Identify two composite numbers that each have 8 as a factor.

Dima020 [189]

A composite number, we remember, is a whole number (no decimals or fractions) that can evenly divide (again, into no fractions or decimals) into two numbers other than itself and 1 (sort of the opposite of a prime number). So, 8 needs to be one of the two numbers. Pick another number--any whole number--and multiply it by 8. The result will be your composite number. Two examples: 8 times 6 equals 48. This works as 48 divided by 8 equals 6, both of which are whole numbers other than 48. Another is 72, the product of 8 times 9.

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3 years ago