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2 years ago

Consider the graph of Miriam's bike ride to answer the

Mathematics

2 answers:

ivanzaharov [21]2 years ago

7 0

Answer:

1) 45 minutes or 0.75 hours

2) 45 minutes or 0.75 hours

Step-by-step explanation:

We are given the graph that shows Miriam's bike ride.

The x-axis represents the time (in minutes) and the y-axis represents the distance traveled in miles.

1) How many hours did Miriam stop to rest?

The graphs stays the same from 45 minutes to 90 minutes, where he took the rest. No distance covered in that time.

Rest time = 90 minutes - 45 minutes = 45 minutes

He took rest for 45 minutes.

In hours, it is 45/60 = 0.75 hours

2) How many hours did it take Miriam to bike the initial 8 miles.

Look at the graph, the graph reached 8 miles when the time was 45 minutes.

It took 45 minutest to reach 8 miles initially.

In hours, it is 45/60 = 0.75 hours

Elenna [48]2 years ago

5 0

It took her 45 minutes to rest and it to her 45 minutes to bike the initial 8 miles. or .75 hours for both

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From a survey of coworkers you find that 32% of 150 have already received this year's flu vaccine. An approximate 98% confide

Artyom0805 [142]

Answer:

a) Narrower

b) Narrower

c) Wider

Step-by-step explanation:

We are given the following in the question:

Proportion of coworker who received flu vaccine = 32%

98% confidence interval: (0.231, 0.409)

Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

a) Sample size had been 600 instead of 150

If we increase the sample size, thus the standard error of the interval decreases.

Since the standard error decreases, the confidence interval become narrower.

b) Confidence level had been 90% instead of 98%

As the confidence level increases, the confidence interval becomes narrower. This is due to a smaller value of z-statistic at 90% confidence level.

c) Confidence level had been 99% instead of 98%

As the confidence level increases, the width of the confidence interval increases and the confidence interval become wider. This is because of a larger value of z-statistic at 99% confidence interval.

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2 years ago

Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There are 3 inches of sand in the bottom of t

VMariaS [17]

The correct question is
<span>Zach keeps his pet chameleon Pinky in a terrarium with the dimensions 8 x 20. There are three inches of sand in the bottom of the terrarium. Zach gets a new terrarium that is larger. The base of the new terrarium is 10 x 24 inches. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?
</span>

Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³

Volume of sand in the new terrarium=10*24*h
where h------------> is the deep in the new terrarium
remember that the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in

the answer is 2 in

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2 years ago

Read 2 more answers

Because you are working a late shift, you will get an increase in your wage. You will get and additional 10% per hour from 6:00p

siniylev [52]

CHECK THE COMPLETE QUESTION BELOW:

Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour

Answer:

I will make $13.2 per hour

Explanation:

It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour

Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that

10% = (10/100)*$12per hour

=$1.2per hour

Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:

15% = (15/100)*$12per hour

=$1.8 per hour

which means that Employee gets additional $1.8 per hour

of the money for working from 12.00 AM to 01.00 AM

Therefore, if Employee works from 2.00 PM to 12.00 AM,

Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which

= $12 + $1.2 = $13.2

= \$ 12 + \$ 1.2 = \$ 13.2

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2 years ago

Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.

mezya [45]

<h2><u><em>Answer: </em></u></h2><h2><u><em> </em></u></h2>

ASA and AAS

<h2><u><em>Step-by-step explanation: </em></u></h2>

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

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2 years ago

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- Both numbers are less than 10.<br> The distance between the two numbers on the number line is 14.

MatroZZZ [7]

Wouldn’t both numbers be seven

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2 years ago