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2 years ago

Cindy is twice as old as Peter. In 6 years, their ages will total 60. How old is Cindy now?

Mathematics

1 answer:

ehidna [41]2 years ago

7 0

Answer:

cindny=32

peter=16

Step-by-step explanation: i think hope it helps

cindny=32

peter=16

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Suppose the integral from 2 to 8 of g of x, dx equals 12, and the integral from 6 to 8 of g of x, dx equals negative 3, find the

Artyom0805 [142]

$\displaystyle\int_2^8g(x)\,\mathrm dx=12$

$\displaystyle\int_6^8g(x)\,\mathrm dx=-3$

Use the fact that integrals are additive on their intervals. Mathematically, if $c\in[a,b]$ , then

$\displaystyle\int_a^bg(x)\,\mathrm dx=\int_a^cg(x)\,\mathrm dx+\int_c^bg(x)\,\mathrm dx$

So we have

$\displaystyle2\int_2^6g(x)\,\mathrm dx=2\left(\int_2^8g(x)\,\mathrm dx-\int_6^8g(x)\,\mathrm dx\right)=2(12-(-3))=30$

8 0

3 years ago

Please answer sdjhsdfkds

Oxana [17]

The answer is B because the domain is the x value, and because the lines have arrows they continue forever, meaning that they contain all real numbers.

7 0

2 years ago

A random sample of 87 eighth grade students’ scores on a national mathematics assessment

Finger [1]

There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

<h3>What is a statistical hypothesis?</h3>

A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:

The null hypothesis:

$\mathbf{H_o \leq 283}$

The alternative hypothesis:

$\mathbf{H_i > 283}$

From the population deviation, the Z test for the true mean can be computed as:

$\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}$

$\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}$

Z = 0.756

Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:

P(z > 0.756)

P = 0.225

Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

Learn more about hypothesis testing here:
brainly.com/question/16251072

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8 0

1 year ago

For triangle ABC with A=103, B=24, a=16, find angle C

Ilya [14]

Answer:

given A=103° , B=24°

In triangle ABC,

A+B+C=180° [angle sum property of triangle]

103°+24°+C=180°

127°+C=180°

C=180°-127°

C=53°

hope it help u dear...

5 0

3 years ago

What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 2? (5 points)

tiny-mole [99]

The third choice is appropriate.
an = 5 - 3(n - 1); all integers n ≥ 1

_____
This equation follows the form for the general term of an arithmetic sequence.
an = a1 + d(n - 1)
where a1 is the first term (corresponding to n=1), and d is the common difference. From the problem statement, a1 = 5 and d = 2 - 5 = -3.

6 0

3 years ago