Triangle PQR is reflected over the x-axis. What are the coordinates of Q’ ?

Juan and Ari went to the farmers market to buy fruit. Juan’s bag of apples that he bought weighed 31/7 pounds. Ari’s bag of oran

scZoUnD [109]

Answer:

Ari's bag is 1.9 pounds heavier than Juan's bag

Step-by-step explanation:

Juan’s bag of apples weigh 31/7 pounds.

$\dfrac{31}{7}=\dfrac{31\times 3}{7\times 3} =\dfrac{93}{21}$

Ari’s bag of oranges weigh 19/3 pounds.

$\dfrac{19}{3}=\dfrac{19\times 7}{3\times 7}=\dfrac{133}{21}$

$\dfrac{133}{21}-\dfrac{93}{21}\\ \\=\dfrac{40}{21}$

Hence, Ari's bag is 40/21 pounds heavier than Juan's bag

i.e. Ari's bag is 1.9 pounds heavier than Juan's bag

6 0

3 years ago

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The floor of a room is being covered with tile. An area one half

tangare [24]

Answer:

Only the floor area $\frac{3}{8}$ has been covered

Step-by-step explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

$A = lw$

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

$l' = \frac{1}{2}l$

$w' = \frac{3}{4}w$

So:

$A' = \frac{1}{2}l(\frac{3}{4}w)$

$A' = \frac{3}{8}lw$

Finally:

$A' = \frac{3}{8}A$

4 0

3 years ago

Three ways to write a division problem

8090 [49]

My three examples would be, 15/3, 15 then the divided by sign 3. 15 over 3 too. Hope this helps!!!

6 0

3 years ago

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Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)

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

$\alpha=0.05$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

5 0

4 years ago

A hamburger franchise is giving away a batch of scratch-and-win tickets with the chance to win an order of french fries. There i

Fynjy0 [20]

You would do 5/5 - 1/5 which would be 4/5 or 80%

4 0

3 years ago

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