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Sladkaya [172]
3 years ago
6

Simplify the expression.

Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

(√3 + 1) / 8

Step-by-step explanation:

(√3 / 8) + (1/8)

Since they both have thesame denominator, we'll take our LCM as 8 and Multiply through.

Therefore,

(√3 + 1) / 8

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Plot the y intercept of y=3/2 x-2
Darina [25.2K]

Answer:

(0,-2)

Step-by-step explanation:

That point is the y intercept. (4/3,0) would be the x.

6 0
2 years ago
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 52
Ludmilka [50]

Answer:

the probability that a sample of the 35 exams will have a mean score of 518 or more is <em> 0.934 </em>or<em> 93.4%</em>.

Step-by-step explanation:

This is s z-test because we have been given a sample that is large   (greater than 30) and also a standard deviation. The z-test compares sample results and normal distributions. Therefore, the z-statistic is:

(520 - 518) / (180/√35)

= 0.0657

Therefore, the probability is:

P(X ≥ 0.0657) = 1 - P(X < 0.0657)

where

  • X is the value to be standardised

Thus,

P(X ≥ 0.0657) = 1 - (520 - 518) / (180/√35)

                       = 1 - 0.0657

                       = 0.934

Therefore,  the probability that a sample of the 35 exams will have a mean score of 518 or more is <em>0.934 or 93.4%</em>.

3 0
3 years ago
Overview
marta [7]

Answer:

You could go and search round-of calculator and percent calculator on google

Step-by-step explanation:

Sorry I couldn't answer it, but I hope this helps :)

7 0
3 years ago
Given: 3(5×+1) =13×+5
Tom [10]
Expand
15x3=13x+5
subtract 3 from both sides
15x=13x+5-3
simplify 13x+5-3 to 13x+2
15x-13x+2
subtract 13 from both sides
15x-13x=2
simplify 15x-13x to 2x
2x=2
divide both sides by 2
x=1



5 0
3 years ago
A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the e
Irina-Kira [14]

Answer:

7 fishes

Step-by-step explanation:

Given the growth of the population of fish which is modeled by the exponential function:

P(t)=7 \cdot b^t

Where:

t=time in weeks after release

b=growth rate of the fish

At t=0

P(0)=7 \cdot b^0\\P_0=7 \cdot 1 \\P_0=7

The initial number, P_0 of fish which was released into the lake is 7.

7 0
3 years ago
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