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Rainbow [258]
3 years ago
13

I need help for B,3,4

Mathematics
2 answers:
frosja888 [35]3 years ago
6 0
Idk b but 3 is because they are the same distance away from 0 and idk how to explain 4
Naddik [55]3 years ago
3 0

the number line shows that 0 is its own opposite because it is the only number that is the same distance from zero as zero. :)

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
insens350 [35]

Answer:

So, the volume V is

V=\frac{14\pi}{3}

Step-by-step explanation:

We have that:

y=7x\\\\y=0\\\\x=1\\\\x=-4\\

We have the formula:

V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\g(x)>f(x).

We calculate the volume V, we get

V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}

So, the volume V is

V=\frac{14\pi}{3}

We use software to draw the graph.

6 0
3 years ago
PLZ HElP!!! Simplify 10 – 3x – 13 + 5x 3 – 3x 1 2x – 3 3 – 2x
777dan777 [17]

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4 0
4 years ago
A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 171 yellow peas. Use a 0.05
grigory [225]
The usual expectation for this kind of experiment is that the peas would yield green and yellow peas in a 3:1 ratio, or 75% green to 25% yellow. So your null hypothesis is that the proportion of yellow peas is p=0.25.

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Z=\dfrac{\hat p-p_0}{\sqrt{\dfrac{p_0(1-p_0)}n}}

where p_0 is the proportion assumed under the null hypothesis, \hat p is the measured proportion, and n is the sample size. You have p_0=0.25, \hat p=\dfrac{171}{171+409}\approx0.29, and n=409+171=580, so the test statistic is

Z=\dfrac{0.29-0.25}{\sqrt{\dfrac{0.25\times0.75}{580}}}\approx2.2247

Because you're testing p>p_0, this is a right-tailed test, so the P-value is

\mathbb P(Z>2.2247)\approx0.0131

The critical value for a right-tail test at a 0.05 significance level is Z_\alpha\approx1.6449, which means the rejection region is any test statistic that is larger than this critical value. Since Z>Z_\alpha in this case, we reject the null hypothesis.

So the conclusion for this test is that the sample proportion is indeed statistically significantly different from the proportion suggested by the null hypothesis.
8 0
3 years ago
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What is the GCF of 100 and 5
Gwar [14]

Answer:

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Step-by-step explanation:

5 is the biggest number you can divide 5 by.

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3 years ago
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frutty [35]

Used graph

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