Help!! Gotta finish 2 units in 4 days!!

Find the value of X. Round the length to the nearest tenth.

Nataliya [291]

Answer:

5.5 yd

Step-by-step explanation:

The angle opposite to x is 20°

Reason: Alternate interior angles are equal

$\frac{x}{15}$ = tan 20°

x = 15 × tan 20° = 5.459553514 yd

That is 5.5 yd (answer rounded off to nearest tenth).

3 0

3 years ago

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Tracy bought 2 cans of paint and 7 1/3 pints of special paint additive formulated to reduce mildew. Before painting her house, s

podryga [215]

Answer:

3 2/3 pint

Step-by-step explanation:

First break down the mixed number to divide (into 7 and 1/3)

7 divided by 2 is 3.5 (Convert 3.5 to sixths)

1/3 divided by two is 1/6

1/6 + 3 3/6= 3 4/6 OR 3 2/3

Hope this helps! :)

5 0

2 years ago

There are 32 munchkins in the box. You want to distribute the munchkins to Amir and Isaac so that the ratio of Amir's munchkins

GrogVix [38]

A gets 5 parts and I gets 8 parts
So 5+8=13. A will get 5/13 parts of the total
5/13*32(total)=12.3 since he can’t get .3 we round and Amir gets 12 leaving 20 for Isaac.

5 0

2 years ago

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A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawnequipment manufacturer, located

GenaCL600 [577]

Answer:

$z=\frac{0.684 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.589$

$p_v =P(z>1.589)=0.056$

If we compare the p value obtained with the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of homes in Omaha with one or more lawn mowers is not ignificantly higher than 0.65

Step-by-step explanation:

Data given and notation

n=497 represent the random sample taken

X=340 represent the homes in Omaha with one or more lawn mowers

$\hat p=\frac{340}{497}=0.684$ estimated proportion of homes in Omaha with one or more lawn mowers

$p_o=0.65$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the true proportion of homes in Omaha with one or more lawn mowers is higher than 0.65.:

Null hypothesis: $p\leq 0.65$

Alternative hypothesis: $p > 0.65$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.684 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.589$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

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

$p_v =P(z>1.589)=0.056$

If we compare the p value obtained with the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of homes in Omaha with one or more lawn mowers is not ignificantly higher than 0.65

7 0

3 years ago

Simply the expression

Rashid [163]

Answer:

12+27a

Step-by-step explanation:

3(4+9a)=3(4)+3(9a)=12+27a

6 0

1 year ago

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