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Aleksandr-060686 [28]
3 years ago
6

Two lines intersecting at a right angle

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

Perpendicular Lines

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Which number is irrational? ( MCC.8NS.1) A. √10, B. -√81 c. 5/4 d. 9.12
gregori [183]

Answer:

A. √10

Step-by-step explanation:

A rational number can be written as the ratio of two integers

A. √10

This cannot be simplified into the ratio of two integers,  Square roots that cannot be simplified are irrational  

B. -√81

- 9

-9/1  which is the ratio of two integers so it is rational

c. 5/4

This is the ratio of two integers so it is rational

d. 9.12

912/100

This is the ratio of two integers so it is rational

6 0
3 years ago
A motorboat traveling with a current can go 120 km in 4 hours. Against the current, it takes 6 hours to go the same distance. Fi
Aleks04 [339]

Answer: Speed of motorboat= 25 km hr

Speed of current= 5km hr

Step-by-step explanation:

120/4=  speed of motorboat with the  current

120/6= speed of motorboat against the current

Get the average of those 2 numbers.

Motorboat=25 km hr

Speed of current= 5 km hr

8 0
3 years ago
A study claims that college students spend an average of 4 hours or less studying per day. A researcher wants to check if this c
kirill115 [55]
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By observing the given information, we have :-

H_0:\mu\leq4\\\\H_a:\mu>4

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

We assume that the time spend by students per day is normally distributed.

Given : Sample size :  n=121 , since n>30 so we use z-test.

Sample mean : \overline{x}=3.15

Standard deviation : \sigma=1.2

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{3.15-4}{\dfrac{1.2}{\sqrt{121}}}\\\\\Rightarrow\ z=-7.79166666667\approx-7.79

Critical value (one-tailed) corresponds to the given significance level :-

z_{\alpha}=z_{0.1}=1.2816

Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.

4 0
3 years ago
A cell phone company dropped the price by 7%. Which expression shows the new price of the phones(p)? A 0.07p B p-1.07 C p-0.07 D
Drupady [299]

Answer:

option D

Step-by-step explanation:

Let the price be p

7% of price = 0.07p

Price after decrease = p - 0.07p

3 0
2 years ago
Find the vertex axis of symmetry graph both and tell me if it’s a minimum or maximum
Fittoniya [83]

The first one is a maximum and the a.s. is x=1

The second one is a minimum and the a.s. is x=-2

6 0
4 years ago
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