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lubasha [3.4K]
3 years ago
7

Help please i got the last part but not the others

Mathematics
1 answer:
MrRissso [65]3 years ago
7 0
Expand: (x+5)(x+5)
Multiply: (x^2)(10x)(25)
Distrib. Prop: the same as line before
Multiply: (x^3)(5x^2)(10x^2)(50x)(25x)(125)
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Someone pls just comment something again​
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Please help worth 10 points and I’ll mark as brainiest
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What is equivalent to 0.46
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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.

You're testing the claim that 26% of the offspring will be yellow, which means the alternative hypothesis is that the proportion of yellow peas is actually 0.26, or more generally that the expected proportion is greater than 0.25, or p>0.25.

The test statistic in this case will be

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.

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8 0
3 years ago
Read 2 more answers
Given: Q=7m + 3n, R= 11 - 2m, S= n + 5, and T= -m - 3n + 8 <br><br><br> simplify R - [S + T]
Soloha48 [4]
R = 11-2m
S = n+5
T = -m-3n+8
---------------------------
Add up S and T to get...
S+T = (n+5)+(-m-3n+8)
S+T = n+5-m-3n+8
S+T = -m+(n-3n)+(5+8)
S+T = -m+(1n-3n)+(5+8)
S+T = -m+(-2n)+(13)
S+T = -m-2n+13
---------------------------
Subtract that result from R
R - [S + T]
11-2m - [-m-2n+13]
11-2m +m+2n-13
(-2m+m) + (2n) + (11-13)
(-2m+1m) + (2n) + (11-13)
(-1m) + (2n) + (-2)
-m + 2n - 2
---------------------------
---------------------------
The final answer is -m + 2n - 2
3 0
4 years ago
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