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valentinak56 [21]
3 years ago
13

Can someone help plz

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

A.) 2x - 9x - 30 = -6

Step-by-step explanation:

hello !

to solve this system of equations, first, we substitute the equation y = 3x + 10 to the <em>y </em>variable in the equation 2x-3y = -6. Therefore, we get:

2x - 3(3x+10)=-6

now, we simplify by multiplying -3 to the variables inside the parenthesis, which, in short, is also called the distributive property. thus, we get:

2x - 9x - 30 = -6

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Birth weights at a local hospital have a Normal distribution with a mean of 110 oz and a standard deviation of 15 oz. The propor
OLga [1]

Answer:

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

Step-by-step explanation:

When the distribution is normal, we use 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 = 110, \sigma = 0.15

The proportion of infants with birth weights between 125 oz and 140 oz is

This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So

X = 140

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

Z = \frac{140 - 110}{15}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 125

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

Z = \frac{125 - 110}{15}

Z = 1

Z = 1 has a pvalue of 0.8413

0.9772 - 0.8413 = 0.1359

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

4 0
3 years ago
Need additional math help 50 pts
Alex17521 [72]

Answer:

12

Step-by-step explanation:

This thing to know about this question is that angle 1 and angle 3 are actually the same.

When two lines intersect, the opposite angles such as that shown in 1 and 3 are equal to each other.

So what you can do is set angle 1 and 3 equal to each other like so:

5x+10 = 70

Then solve for x

5x+10 = 70

5x = 60

x = 12

6 0
2 years ago
Read 2 more answers
What is the ful cost of a 59.99 game after adding taxes
dsp73
The correct answer would be 61.32
5 0
3 years ago
Special air bags are used to protect scientific equipment when a rover lands on the surface of Mars. On Earth, the function appr
PSYCHO15rus [73]

The nearest tenth of how fast a rover will hit Mars' surface after a bounce of 15 ft in height is 20.7ft/s.

<h3>What is the approximation about?</h3>

From the question:

Mars: F(x) = 2/3\sqrt{64x}

Therefore, If x = 15

Then:

f (15) =  2/3 \sqrt[8]{15}

= 16/3\sqrt{15}

= 20.7ft/s

Hence, The nearest tenth of how fast a rover will hit Mars' surface after a bounce of 15 ft in height is 20.7ft/s.

Learn more about Estimation from

brainly.com/question/24592593

#SPJ1

8 0
2 years ago
Question number 3 pls
marissa [1.9K]
Factoring f(x) would give a factor (x-1-2i), so you can divide f(x) by this, leaving (x-3)(x+4)(x-1+2i), so the other roots are:

x=3
x=-4
x=1-2i

4 0
3 years ago
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