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inysia [295]
3 years ago
11

Plz help me with this one)) click the photo above^^^

Mathematics
1 answer:
Step2247 [10]3 years ago
3 0
Simplify is a way.i hop it helped.
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Steven conjectures that for |x|>5, it is true that x^3>125. Is his conjecture correct? Why or why not?
levacccp [35]

Answer:

yes

Step-by-step explanation:

it is correct because, since x>5, anything relating x and 5 together will always put x greater than 5.

8 0
3 years ago
How many centimeters are in 8 meters?
Law Incorporation [45]

Answer:

800 centimeters.......

3 0
2 years ago
Karen claps her hand and hears the echo from a distant wall 0.113 s later. How far away is the wall? The speed of sound in air i
insens350 [35]

Answer:

19.3795 m

Step-by-step explanation:

If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:

D=343\frac{m}{s} *0.113\ s\\D= 38.759\ m

Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:

d=\frac{38.759}{2}\\d=19.3795\ m

The wall is 19.3795 m away from Karen.

3 0
3 years ago
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

Z_{\alpha /2} = Z_{0.025}= -1.96

Z_{1-\alpha /2} = Z_{0.975}= 1.96

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u>    17-15     </u> = 1.99

     σ/√n              5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

5 0
3 years ago
What is the value of 5 + -2​
Sidana [21]

Answer:

3

Step-by-step explanation:

5 is greater than 2 and two is negative so the answer is positive

8 0
2 years ago
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