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3 years ago

Question 6 (1 point)

Mathematics

1 answer:

Shalnov [3]3 years ago

8 0

2. Dividing exponential expression with the same base is what the left hand fractional expression is. Z^8/Z^?=z^6. Since all the bases are the same. To get the exponential power 6 on the right we subtract the denominator’s (bottom part of the fraction) exponential power (on the left) from the numerator’s (top part) exponential power.

Then, 8 - ? = 6? 2 is the only number to make the left equal the right side. This, z^8/z^2=z^6

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11. A large pine tree was struck by lightning and fell as

umka21 [38]

It forms a right triangle.

To find X you can use the Pythagorean theorem which would be written as x^2 = a^2 + b^2

This can be rewritten as x = sqrt(a^2 + b^2)

Using the dimensions of the tree the answer would be :

B. x = sqrt(8^2 + 13^2)

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3 years ago

Prices are going up in the ratio 6:5 Write a 60% decrease as a ratio.

ivolga24 [154]

Answer:

To Decrease an amount in a given Ratio, we need to multiply by a fraction that is less than one. For example, in scaling down a recipe for four people into a recipe for 3 people, we would use the ratio of 3 : 4 which means we would multiply all our recipe amounts.

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2 years ago

Please helpppp??? Correct answer ?

Karolina [17]

Answer:

x = 15m

Step-by-step explanation:

The second triangle (large) is 3 times greater than the first triangle (small).

6 x 3 = 18 4 x 3 = 12 5 x 3 = x

5 x 3 is 15, so x is 15m

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3 years ago

A 10-foot by 12-foot wall has two windows that measure 3 feet by 5 feet each.

musickatia [10]

12 ft maybe? i dunno im sorry if this is wrong

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3 years ago

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

6 0

2 years ago