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Elenna [48]
3 years ago
8

The parabola y=x^2 is shifted up by 4 units , what is the equation of the new parabola

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer:

y= (x^2)+4

Step-by-step explanation:

If outside of the parentheses, the function can move up or down. So, by adding 4 to the function/parabola, you shift the equation up by 4 units.

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A music store sold 10 to the third CDs and ten to the second CDs players if each CD costs $12 and each CD player costs $35, what
enot [183]
10^3 CDs with CD = $12 then total CDs earnings is (10^3)(12) = $12,000
10^2 CD players with CD plater = $35 then total CD player earnings is (10^2)(12) = $1,200
Total store earnings = ($12,000 + $1,200) = $13,200 
4 0
3 years ago
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As Español
goldenfox [79]

Answer:

B

Step-by-step explanation:

120-73 = S

therefore 73+s = 120

so 120- s = 73

5 0
2 years ago
Will give brainliest to the best answer. (disregard my current answer, it was accidental)
RideAnS [48]

The thousandths place is the 3rd digit after the decimal.

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47,268.56<u>8</u>593 = 47,268.569

The 3rd option is your answer

8 0
3 years ago
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Which is the soluction of x/5 - 10 = 20?<br>A x = 2 <br>B x = 6<br>C x = 50<br>D x = 150
ololo11 [35]

x/5 - 10 = 20

add 10 to each side

x/5 = 30

multiply by 5

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7 0
3 years ago
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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.

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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