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alexandr402 [8]
2 years ago
5

Which transformation represents the dilation? How can you tell?

Mathematics
1 answer:
spin [16.1K]2 years ago
3 0

Answer:

A dilation is a type of transformation that enlarges or reduces a figure to create a new figure,  If the scale factor is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement

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Calculate the interest amount for a loan of $800 at 4.25% simple interest for 6 years.
Andrei [34K]

Answer:

I= PRT/100

= 800 X 4.25 X 6 /100

= 20400/100

I=204

Interest amount: $204

3 0
2 years ago
1. A researcher believes that university students weigh more than the population. The researcher reasons that more time spent on
andrew11 [14]

Answer:

The null and alternative hypotheses are:

H_{0}: \mu = 170

H_{a}: \mu >170

Under the null hypothesis, the test statistic is:

z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}} }

         =\frac{180-170}{\frac{35}{\sqrt{225}} }

         =\frac{10}{2.33}

         =4.29

Now, we have to find the right tailed z critical value at 0.10 significance level. Using the standard normal table, we have:

z_{critical} = 1.28

Since the test statistic is greater than the z critical value, we therefore, reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the university students weigh more than the population.


8 0
3 years ago
10 people always get on a bus in the same order and sit on the same places. what is the probability that, if the 1st person has
kap26 [50]

The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9

 

Probability :

In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.

Probability of an event,

P(E) = No of favorable outcomes / total number of outcomes

Here we have,

10 people always get on a bus in the same order and sit in the same places.

The 1st person has randomly changed his/her seat

Except for 1 remaining number of seats is 9

If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9  

In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats      

Therefore,

The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7  

From the above observations,

The probability that the 10th will be able to sit on his/her original seat

= 7 / 9  

Learn more about Probability at

brainly.com/question/13659160

#SPJ4

8 0
9 months ago
After working 80 hours at his job, Tyshawn earned a total of $1080. How much does Tyshawn earn
bogdanovich [222]

The amount  Tyshawn earn per hour is $13.5

<h3>Ratio and proportion</h3>

Fractions are written as a ratio of two integers

If after working 80 hours at his job, Tyshawn earned a total of $1080, then;

80 hrs = $1080

In order to calculate the amount earned per hour

Amount per hour = 1080/80

Amount per hour = $13.5

Hence the amount  Tyshawn earn per hour is $13.5

Learn more on ratio here: brainly.com/question/25927869

#SPJ1

7 0
2 years ago
Someone, please help me with this question.
Viefleur [7K]

Answer:

C.  95°

Step-by-step explanation:

Sumplementary angles sum 180°

144° + a = 180°

a = 180° - 144°

a = 36°

121° + b = 180°

b = 180° - 121°

b = 59°

The sum of internal angles of a triangle is 180°

a + b + c = 180°

36° + 59° + c° = 180°

c° = 180° - (36°+59°)

c° = 180° - 95°

c° = 85°

then:

c + n = 180°

85° + n = 180°

n = 180° - 85°

n = 95°

5 0
3 years ago
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