A radio is being discounted 30%. If the sale price of the radio is $29.82, what was the original price of the radio?

An automobile factory,1849 parts are made in 4 hours.what is the average rate at which parts are made per hour?

MAXImum [283]

Answer:

There are 462.25 parts being made per hour

Step-by-step explanation:

Step 1: Make an equation

An automobile factory, 1849 parts are made in 4 hours.

1849 / 4 = x

Step 2: Solve

1849 / 4 = x

462.25 = x

Answer: There are 462.25 parts being made per hour

7 0

3 years ago

Read 2 more answers

Solve: -2/3 a - 6 = 12 what is a

Hitman42 [59]

Answer:

a = - 27

Step-by-step explanation:

- $\frac{2}{3}$ a - 6 = 12 ( add 6 to both sides )

- $\frac{2}{3}$ a = 18 ( multiply both sides by 3 to clear the fraction )

- 2a = 54 ( divide both sides by - 2 )

a = - 27

8 0

2 years ago

Which is the angle of elevation from the submarine to the boat? <1, <2 ,<4 <3

grigory [225]

Answer:

<1

Step-by-step explanation:

When an observer is at the same level with the submarine, his line of sight above the horizontal upward to the boat would form an angle called the angle of elevation.

Thus, the angle of elevation from the submarine to the boat is marked as <1. <1 is the angle of elevation from the submarine.

6 0

3 years ago

According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is 100:114 (46.7%

mojhsa [17]

Answer:

$z=\frac{0.42 -0.467}{\sqrt{\frac{0.467(1-0.467)}{150}}}=-1.154$

$p_v =2*P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ 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 girls born is not significantly different from 0.467

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=63 represent the number of girls born

$\hat p=\frac{63}{150}=0.42$ estimated proportion of girls born

$p_o=0.467$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

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 claim that the true proportion if girls is 0.467.:

Null hypothesis: $p=0.467$

Alternative hypothesis: $p \neq 0.467$

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:

$z=\frac{0.42 -0.467}{\sqrt{\frac{0.467(1-0.467)}{150}}}=-1.154$

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 significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ 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 girls born is not significantly different from 0.467

3 0

2 years ago

What percentage did you tip if your lunch was 4$ and you left 1$

telo118 [61]

Answer:

25%

Step-by-step explanation:

The tip percentage is 100 times the ratio of what you tipped to what you paid.

100 x (1 dollar tip) / (4 dollars paid) = 25%

5 0

2 years ago