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3 years ago

Image attached Please help asap

Mathematics

1 answer:

bearhunter [10]3 years ago

6 0

First question: 2x = 50
Explanation:
“2 times as many” in this situation means that the pages justin read (50) is twice as Colin’s. Meaning that to find the number of pages Colin’s read, we will have to divide 50 by 2.
2x = 50 is an equivalent representation of that.

2nd question:
(Choose these correct statements):
• 9h represents how much money Sofia earns babysitting for h hours.
• Sofia babysat for 3 hours.
• If Sofia babysits for 5 hours, she will earn $45

Have a nice day (brainliest please)

You might be interested in

A bag contains 2 black balls, 4 yellow balls and 4 white balls. Event A is defined as drawing a white ball on the first draw and

arsen [322]

Answer: $P(B|A)=\dfrac{4}{9}$

Step-by-step explanation:

Given: A bag contains 2 black balls, 4 yellow balls and 4 white balls.

Event A is defined as drawing a white ball on the first draw.

Event B is defined as drawing a black ball on the second draw.

P(B|A) is expressed as the conditional probability of occurring B given that A.

i.e. it is the probability of happening B where A is already happended.

If a white ball is drawn at first, then the number of black ball(4) remains unchanged but the total number of balls (10) will become 9.

$Probability=\dfrac{Number\ of \ favorable \ outcomes}{Total\ outcomes}$

Then, $P(B|A)=\dfrac{4}{9}$

8 0

3 years ago

Clarinex is a drug used to treat asthma. In clinical tests of this drug, 1655 patients were treated with 5- mg doses of Clarinex

bagirrra123 [75]

Answer:

$z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363$

$p_v =P(z>3.363)=0.00039$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

Step-by-step explanation:

Data given and notation

n=1655 represent the random sample taken

$\hat p=0.021$ estimated proportion of interest

$p_o=0.012$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

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 true proportions is higher than 0.012.:

Null hypothesis: $p \leq 0.012$

Alternative hypothesis: $p > 0.012$

When we conduct a proportion test we need to use the z statisitic, 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:

$z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363$

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 $\alpha=0.01$ . The next step would be calculate the p value for this test.

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

$p_v =P(z>3.363)=0.00039$

3 0

3 years ago

A researcher plans to conduct a significance test at the 0.01 significance level. She designs her study to have a power of 0.90

Rasek [7]

Answer: 0.10

Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.

Power is the probability of avoiding a type 2 error. That is ;

Power = 1 - P(type 2 error)

Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

6 0

3 years ago

Some of the steps in the derivation of the quadratic formula are shown. Step 4: Step 5: Step 6: Step 7: Which best explains why

AlexFokin [52]

The correct answer for this question is this one: "The square root of terms separated by addition and subtraction cannot be calculated individually."

<span>The statement that best explains why the expression cannot be rewritten as during the next step is that t</span>he square root of terms separated by addition and subtraction cannot be calculated individually.
Hope this helps answer your question and have a nice day ahead. ..... hope that helps

5 0

3 years ago

Read 2 more answers

NEED ANSWER ASAP!!! Do the data in this table show a function? If you switch the input and the output values is it a function?

ser-zykov [4K]

Answer:

Step-by-step explanation:

no input can have diffrent outputs if you change the input values then yes it is a function hope this helps god bless

4 0

3 years ago