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Lemur [1.5K]
4 years ago
10

What are the amplitude and midline? I WILL MARK BRAINLIEST IF CORRECT.

Mathematics
1 answer:
Alex787 [66]4 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

The amplitude is the value from the x- axis to the maximum, thus

amplitude = 2

the midline is the line midway between the minimum and the maximum

Assuming the graph is symmetrical about the x- axis

Then the max is 2 and the min is - 2

y = \frac{-2+2}{2} = \frac{0}{2} = 0

Thus the midline is y = 0

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A cube has a volume of 343 cubic cm. What is the area of the base
Amanda [17]

Answer:

49 cm²

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ← s is the length of the side, thus

s³ = 343 ( take the cube root of both sides )

s = \sqrt[3]{343} = 7, thus

area of base = s² = 7² = 49 cm²

6 0
3 years ago
According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. Sup
Verizon [17]

Answer:

There is evidence to said that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than 0.18

Step-by-step explanation:

First, we need to define the null and alternative hypothesis as:

H0: p = 0.18

H1: p > 0.18

Where p is the proportion of shoppers that said that they prefer to buy generic instead of name-brand products.

Then, we can calculated the test statistic using the following equation:

z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }

Where p' is the proportion of the sample and n is the size of the sample.

Replacing p by 0.18, p' by 0.21 (315/1500 = 0.21) and n by 1500, we get:

z=\frac{0.21-0.18}{\sqrt{\frac{0.18(1-0.18)}{1500} } }=3.02

So, using the standard normal table, the p-value is calculated as:

p-value = P(z>3.02) = 0.0013

Additionally, At a 5% significance level, the critical value is the z value that let 5% on the right tail, so it is calculated as:

P(Z>z) = 0.05

Critical Value = 1.64

Finally, taking into account that the 5% significance level is higher than the p-value and the critical value is higher than the test statistic, we reject the null hypothesis and there is evidence to said that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than 0.18

7 0
3 years ago
What are the coordinates of the point (-8,5) if it is reflected across the x-axis?
podryga [215]
It is d, -8.-5. I did it on paper
4 0
3 years ago
Read 2 more answers
A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h
MrRissso [65]

<u>B</u><u>)</u><u> </u><u>t</u><u> </u><u>=</u><u> </u><u>7</u><u>0</u><u> </u><u>h</u>

<u>A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h, is proportional.</u>

4 0
3 years ago
(-4y^3-5y+16)+(4y^2-y+9)
cricket20 [7]

Answer:

-4y^3 + 4y^2 -6y + 25

Step-by-step explanation:

Combine like terms.

    (-4y^3-5y+16)

 +    (4y^2 - y +9)

----------------------------

-4y^3 + 4y^2 -6y + 25

Please mark as Brainliest! :)

6 0
4 years ago
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