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Leviafan [203]
2 years ago
10

X-2y = 3 2x + y = 11 What is the value of x

Mathematics
2 answers:
mrs_skeptik [129]2 years ago
4 0

Answer:

x=5 y=1

Step-by-step explanation:

katrin [286]2 years ago
3 0

Like x^2-4x+3=0 or sin(x)=1.

short answer is that x equals 1.

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kondaur [170]

Answer: 1230

Step-by-step explanation: 22 hours that's how much she will be studying in total till the seventh day

and 105 mins till the seventh day

so she will be studying 1230 in total so put 1230 at the blank

1230 is your answer

5 0
3 years ago
Read 2 more answers
OB is the bisector of AD and EC. . EO = 2x – 20 and OC = 70 – x. Solve for x.
mixas84 [53]
<span>We know that OB bisects EC where they intersect would be at point O, 
so the two lengths EO and OC must be equal. 

2x - 20 = 70 - x 

</span>[adding x + 20 to each side] 

2x - 20 + x + 20 = 70 - x + x + 20

[simplifying]

<span>3x = 90 

</span>[dividing each side by 3]
<span>
x = 30 would be the answer</span>
4 0
3 years ago
Assume that foot lengths of women are normally distributed with a mean of 9.6 in and a standard deviation of 0.5 in.a. Find the
Makovka662 [10]

Answer:

a) 78.81% probability that a randomly selected woman has a foot length less than 10.0 in.

b) 78.74% probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

c) 2.28% probability that 25 women have foot lengths with a mean greater than 9.8 in.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples 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 problem, we have that:

\mu = 9.6, \sigma = 0.5.

a. Find the probability that a randomly selected woman has a foot length less than 10.0 in

This probability is the pvalue of Z when X = 10.

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

Z = \frac{10 - 9.6}{0.5}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881.

So there is a 78.81% probability that a randomly selected woman has a foot length less than 10.0 in.

b. Find the probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 8.

When X = 10, Z has a pvalue of 0.7881.

For X = 8:

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

Z = \frac{8 - 9.6}{0.5}

Z = -3.2

Z = -3.2 has a pvalue of 0.0007.

So there is a 0.7881 - 0.0007 = 0.7874 = 78.74% probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

c. Find the probability that 25 women have foot lengths with a mean greater than 9.8 in.

Now we have n = 25, s = \frac{0.5}{\sqrt{25}} = 0.1.

This probability is 1 subtracted by the pvalue of Z when X = 9.8. So:

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

Z = \frac{9.8 - 9.6}{0.1}

Z = 2

Z = 2 has a pvalue of 0.9772.

There is a 1-0.9772 = 0.0228 = 2.28% probability that 25 women have foot lengths with a mean greater than 9.8 in.

5 0
3 years ago
Solve for z<br><br> Z - 4/9 - 1/3 = 5/9
Aleks04 [339]

Answer:

4/3

Step-by-step explanation:

<em>Z-</em><em>4</em><em>/</em><em>9</em><em>-</em><em>1</em><em>/</em><em>3</em><em>=</em><em>5</em><em>/</em><em>9</em>

<em>Z-</em><em>7</em><em>/</em><em>9</em><em>=</em><em>5</em><em>/</em><em>9</em>

<em>Z</em><em>=</em><em>5</em><em>/</em><em>9</em><em>+</em><em>7</em><em>/</em><em>9</em><em> </em>

<em>Z</em><em>=</em><em>4</em><em>/</em><em>3</em><em> </em><em>not</em><em> </em><em>sure</em><em> </em><em />

3 0
3 years ago
The equation y=36x represents the relationship between x the number of yards and y the number of inches.
scoundrel [369]

Answer:

(2 , 72) and (5 , 180)

Step-by-step explanation:

when x = 2 , y = 36× 2 = 72 (2,72)

when x = 4 , y = 36×4 = 180 (4,180)

8 0
3 years ago
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