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BaLLatris [955]
3 years ago
11

A+46=-114 plz show how u got the answer

Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0

Answer:

a = 160

Step-by-step explanation:

a + 46 = -114

a + 46 - 46 = -114 - 46

a = 160

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Write an equation that represents a vertical translation 7 units down of the graph of g(x) = 21.
xenn [34]

Answer:

<h2>h(x) = 14</h2>

Step-by-step explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

===========================================

g(x) = 21

translation 7 units down: g(x) - 7 = 21 - 7 = 14

3 0
3 years ago
Incomes in a certain town are strongly right-skewed with mean $36,000 and standard deviation $7000. a random sample of 75 househ
Svet_ta [14]
Since the sample is greater than 10, we can approximate this binomial problem with a normal distribution.

First, calculate the z-score:

z = (x - μ) / σ = (37000 - 36000) / 7000 = 0.143

The probability P(x > 37000$) = 1 - P(<span>x < 37000$), 
therefore we need to look up at a normal distribution table in order to find 
P(z < 0.143) = 0.55567 
And 
</span>P(x > 37000$) = 1 - <span>0.55567 = 0.44433

Hence, there is a 44.4% probability that </span><span>the sample mean is greater than $37,000.</span>

4 0
4 years ago
Estimate 43% of 117. (2 points)<br> Show your work to
finlep [7]

Answer:

Let's say 50

Step-by-step explanation:

40% of 100 is 40

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8 0
2 years ago
Write the expression 44(4–7)(4) using a single exponent.
Ghella [55]
<h3>The given expression as single exponent is:</h3>

4^4 \times 4^{-7} \times 4 = 4^{-2}

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

4^4 \times 4^{-7} \times 4

In exponents,

When the base is same, exponents can be added

Which means,

a^m \times a^n = a^{m+n}

Therefore,

4^4 \times 4^{-7} \times 4 = 4^{4-7+1}\\\\Simplify\\\\4^4 \times 4^{-7} \times 4 = 4^{-3+1} \\\\4^4 \times 4^{-7} \times 4 = 4^{-2}

Thus the given expression as single exponent is:

4^4 \times 4^{-7} \times 4 = 4^{-2}

8 0
3 years ago
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Elenna [48]
X is greater than or equal to -200
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