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3 years ago

the base of a triangle is 5/8. The height is 1/3 feet. how much greater is base of the triangle than the height?

1 answer:

maks197457 [2]3 years ago

6 0

Namely, how many times does 1/3 go into 5/8? well, is their quotient,

$\bf \cfrac{\quad \frac{5}{8}\quad }{\frac{1}{3}}\implies \cfrac{5}{8}\cdot \cfrac{3}{1}\implies \cfrac{15}{8}\implies 1\frac{7}{8}$

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Which of the following functions describes a graph that will intersect the x-axis in exactly one point? o A. y = x2 + 5x o B. y=

kifflom [539]

Answer:

Step-by-step explanation:

4 0

3 years ago

Point (21,28) is dilated by a scale factor of (-1/7) with a center of dilation on the origin. What are the new coordinates

Kamila [148]

Step-by-step explanation:

Original x-value = 21

New x-value = 21 * (-1/7) = -3.

Original y-value = 28

New y-value = 28 * (-1/7) = -4.

Hence the coordinates of the new point is (-3,-4).

3 0

3 years ago

Read 2 more answers

For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test

Basile [38]

Answer:

a) $p_v =P(Z>2.05)=1-P(z$

b) $p_v =P(Z>-1.84)=1-P(z$

c) $p_v =P(Z>0.4)=1-P(z$

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: $\mu=10$

Alternative hypothesis: $\mu >10$

If the random variable is distributed like this: $X \sim N(\mu,\sigma)$

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

$z_o=\frac{\bar X -\mu}{\sigma}$

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

$p_v =P(Z>2.05)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

$p_v =P(Z>-1.84)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

$p_v =P(Z>0.4)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say $\alpha=0.05$ . For part a the $p_v$ so then we can reject the null hypothesis at this significance level.

For part b the $p_v>\alpha$ so then we FAIL to reject the null hypothesis at this significance level.

For part c the $p_v>\alpha$ so again we FAIL to reject the null hypothesis at this significance level.

3 0

3 years ago

Wx+yz=bc , solve for z .

Aleksandr-060686 [28]

Wx+yz=bc
minus wx on both sides
yz=bc-wx
dividing 'y' on both sides
Hence,
z=(bc-wx)/y
Here is what you need.
Hope it helped

8 0

3 years ago

Read 2 more answers

Kristi invests $3,000 at a 7.25% annual simple interest rate, and her sister Kari invests $3,200 at a 6.25% annual simple intere

True [87]

Answer:

Kristi

Step-by-step explanation:

The formula for Simple Interest =

Principal × Rate × Time

For Kristi

Kristi invests $3,000 at a 7.25% annual simple interest rate,

Principal = $3000

Rate = 7.25% = 0.0725

Time = 1

Simple interest = $3000 × 0.0725 × 1

= $217.5

For Kari

Her sister Kari invests $3,200 at a 6.25% annual simple interest rate.

Principal = $3200

Rate = 6.25% = 0.0625

Time = 1

Simple interest = $3200 × 0.0625 × 1

= $200

From the above calculation, we can see that: Kristi will earn the greater amount of interest after one year

3 0

3 years ago