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defon
3 years ago
10

Factor the expression: 9y + 27

Mathematics
2 answers:
Darya [45]3 years ago
5 0

Answer:

9(y + 3)

Step by step explanation:

27 / 9 = 3

ipn [44]3 years ago
3 0

Answer:

9(y+3)

Step-by-step explanation:

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The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope
elena55 [62]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the average life of light bulbs.

As per given , we have

Null hypothesis : H_0 : \mu =5400

Alternative hypothesis : H_a : \mu >5400

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=95,\ \overline{x}=5483\ \&\ \sigma=500, we have

z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180

Using z-value table , Critical one-tailed test value for 0.06 significance level :

z_{0.06}=1.5548

 Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0
3 years ago
Triangle MRN is created when an equilateral triangle is folded in half.
Rus_ich [418]

The value of y based on the values given ib the equilateral triangle will be 4.

<h3>How to illustrate the triangle?</h3>

From the information given, MN is one of the sides of the equilateral triangle. Therefore, side MR will be:

= 1/2 × 8 = 4

In the above, it should be noted that MR was calculated since it's half of the value of MN which is 8.

Here, value of y based on the values given ib the equilateral triangle will be 4.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ1

6 0
2 years ago
What is 9/5,-2.5,-1.1,-4/5,0.8 from least to greatest
padilas [110]
Convert 9/5 and -4/5 to decimal form 
= 1.8 and -0.8

so answer is -2.5 , -1.1 . -0.8,  0.8, 1.8

= -2.5, -1.1 , -4/5, 0.8, 9/5
7 0
3 years ago
Question 3
choli [55]

Answer:

((19)(49)/98)

Step-by-step explanation:

6 0
2 years ago
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The graph of this system of equations is which of the following?
ozzi
The answer is C. They are intersecting
4 0
2 years ago
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