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anastassius [24]
4 years ago
13

Whats the answer of 3x+5.7=15

Mathematics
1 answer:
AveGali [126]4 years ago
6 0
3x+5.7=15
     -5.7 -5.7
3x=9.3
---------
    3
x=3.1      hope this helps :)
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Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.
Yuliya22 [10]

Answer/Step-by-step explanation:

1. \frac{(-2)^{-5}}{(-2)^{-10}}

Apply the Quotient rule: i.e. \frac{x^n}{x^m} = x^{n - m}

= (-2)^{-5 - (-10)} = (-2)^5} = -32

2. 2^{-1} * 2^{-4}

Apply the product rule: i.e. x^n * x^m = x^{n + m}.

= 2^{-1 + (-4)} = 2^{-1 - 4}

= 2^{-5}

Apply the negative exponent rule: i.e. x^{-n} = \frac{1}{x^n}

= 2^{-5} = \frac{1}{2^5}

= \frac{1}{32}

3. (-\frac{1}{2})^3 * (-\frac{1}{2})^2

Apply product rule

= (-\frac{1}{2})^{3 + 2}

= (-\frac{1}{2})^{5}

= -\frac{1^5}{2^5}

= -\frac{1}{32}

4. \frac{2}{2^{-4}}

Apply the rules of 1 and quotient rule

= 2^{1 - (-4)}

= 2^{1 + 4}

= 2^{5} = 32

6 0
4 years ago
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10
Tanya [424]

Answer:

a) 0.7734

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 101, \sigma = 24

(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?

This is 1 subtracted by the pvalue of Z when X = 83. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{83 - 101}{24}

Z = -0.75

Z = -0.75 has a pvalue of 0.2266

1 - 0.2266 = 0.7734

The answer is 0.7734

5 0
3 years ago
Given y = 50(1.15)*, what type of<br> function is this?
Vikentia [17]
It’s an exponential growth because 1.15 indicates that the function is increasing by 15% and the number is greater than 1
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liraira [26]
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His average speed was 50 m/min
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