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kakasveta [241]
3 years ago
14

Translate the given phrase to an expression. Subtract 2/7 from 25/28. Do not simplify

Mathematics
2 answers:
erastova [34]3 years ago
6 0
25/28 - 2/7
it doesn’t need to be solved because it asked for an expression and not an equation, so no equal sign either
muminat3 years ago
3 0
Well to subtract 2/7 from 25/28 you would first have make the denominator the same. So to do that you can multiply 2/7 times four to get 14/28. Now you do 25/28-14/28 and that would be 11/28. Hope I helped!!
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Find which term in the geometric sequence 1,3,9,27,... is the first to exceed 7,000.
Zielflug [23.3K]

The common ratio between terms is 3, so the sequence has general n-th term

a_n=3^{n-1}

for n\ge1. The term exceeds 7000 when

3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06

which means the first time a_n exceeds 7000 occurs when n=10. Indeed,

a_{10}=3^{10-1}=19,683

while the previous term would have been

a_9=3^{9-1}=6561

8 0
3 years ago
The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a
patriot [66]

Answer:

Step-by-step explanation:

Hello!

Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"

X~Bi (n;ρ)

ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95

n= 390

x= 303

sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78

Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.

You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:

^ρ±Z_{1-\alpha /2}* √[(^ρ(1-^ρ))/n]

Z_{1-\alpha /2} = Z_{0.995} = 2.58

0.78±2.58* √[(0.78(1-0.78))/390]

0.0541

[0.726;0.834]

With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.

I hope it helps!

7 0
3 years ago
the electricity goes out in a house. the temperature in the house changes by -8 fahrenheit in 4 hours. on average, by how many d
Aliun [14]

Answer:

-2 degrees per hour

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5, 9.1)?
Margarita [4]

Answer:

(-5/2, 3/2)

Step-by-step explanation:

[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)

3 0
3 years ago
What is |3| ????????????
Natalija [7]

Answer:

3

Step-by-step explanation:

|3| means take the non-negative value of what is inside the absolute value

|3| = 3

5 0
2 years ago
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