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4 years ago

What function is shown on the graph ??

Mathematics

1 answer:

galina1969 [7]4 years ago

4 0

The function shown is f(x)= -1/2 cos(x).

sin(x) makes the line way more “curverier” So both sin(x) functions are out. It is NOT 1/2 cos(x) because it would make the y-intercept 0, not .5 In the picture it’s starting at .5 so it’s f(x)=-1/2 cos(x)

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Which of the rectangles below have an area of 18 cm²?

Elenna [48]

$\textsf{Rectangle A}$

$\implies \mathsf {Area = 3 \times 6 = 18cm^{2}}$

$\implies \bf {Yes}$

$\textsf {Rectangle B}$

$\implies \mathsf {Area = 2 \times 9 = 18cm^{2}}$

$\implies \bf {Yes}$

$\textsf {Rectangle C}$

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$\implies \bf {Yes}$

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2 years ago

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A prism is completely filled with 1120 cubes that have edge lengths of 1/2 in. What is the volume of the prism?

DedPeter [7]

Answer:

Volume of the prism = 140 cubic inches.

Step-by-step explanation:

The edge length of the cube is 1/2 inches.

The volume of the cube is given by

$\text{Volume}=(\text{edge})^3\\\\V=(1/2)^3\\\\V=0.125$

Now, it has been given that there are 1120 cube is completely filled in the prism. Hence, we have to the multiply the volume by 1120.

Volume of the prism = 1120 × 0.125

Volume of the prism = 140 cubic inches.

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3 years ago

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According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones

schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 237, \sigma = 54$