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Anna [14]
3 years ago
11

21 is 80% of what number

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

<u>Answer:</u>

26.25

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

21 is 80% of 26.25

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

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Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process
Nikolay [14]

Answer:  c. z = 1.35; Reject the null hypothesis

Step-by-step explanation:

Let \mu be the average life expectancy of its batteries.

As per given , we have

Null hypothesis : H_0 : \mu =135

Alternative hypothesis : H_a : \mu >135

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

Test statistic : \dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overlien{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=42,\ \overline{x}=140\ \&\ \sigma=24, we have

z=\dfrac{140-135}{\dfrac{24}{\sqrt{42}}}=1.35015431217\approx1.35

Critical one-tailed test value for 0.10 significance level :

z_{0.1}=1.28

 Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .

[When critical value is less than the test statistic value , we reject the null hypothesis .]

5 0
2 years ago
Just need the answer for a and b
34kurt

Answer:

2⁵× 2ˣ = 256

x= 3

(1/3)² (1/3)ˣ = 1/729

x= 4

Step-by-step explanation:

2⁵× 2ˣ = 256

x= 3

use Product Rule: xᵃxᵇ=xᵃ⁺ᵇ

convert both sides to the same base.

2⁵⁺ˣ = 2⁸

cancel the base of 2 on both sides.

5+x=8

subtract 5 from both sides.

x=8-5

simplify  8-5 3.

x=3

(1/2)² (1/3)ˣ = 1/729

x = 4

use division distributive property: (x/y)ᵃ=xᵃ/yᵃ

i hope this helped i didn't feel like typing the rest out though lol  :(

5 0
2 years ago
PLEASE HELP ME QUICK!!!Can you form a triangle with angle measurements of 50°, 50° and 100° explain why or why not.
alex41 [277]

Answer:

No, you can't form a triangle because angles in a triangle add up to 180 degrees.

Step-by-step explanation:

100+50+50= 200 degrees, which means that you cant form a triangle with these measurements because angles in a triangle have to add up to 180 degrees.

7 0
3 years ago
How do you find the radius of a circle with a circumference of 12pi
sergejj [24]

Answer:

6

Step-by-step explanation:

The circumference of a circle is 2\pir\pi r, so 12\pi=2\pi r\\12=2r\\r=6.  We can use this because the area of a circle is \pi r^2.  Thus, \pi*6^2=36\pi.

4 0
3 years ago
Find the values of x and y leave answers in simplest radical form. *The altitude is:
jok3333 [9.3K]

x =  \sqrt{ { \sqrt{18} }^{2} +  {2}^{2}  }  =  \sqrt{18 + 4}  =  \sqrt{22}  \\ y =  \sqrt{ { \sqrt{18} }^{2}  +  {9}^{2} }  =  \sqrt{18 + 81}  =  \sqrt{99}  =  3\sqrt{11}

5 0
3 years ago
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