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insens350 [35]
3 years ago
5

Find the value of x. pls hurry big reward.

Mathematics
2 answers:
dybincka [34]3 years ago
4 0
X = 8
18+90 = 108
180-108=72
72/9=8
g100num [7]3 years ago
3 0

Answer:

x=8

Step-by-step explanation:

< LJG + <GJH + HJW = 180   since it forms a straight line

9x + 90+ 18 = 180

Combine like terms

9x+ 108 = 180

Subtract like 108 from each side

9x +108-108 = 180 -108

9x =72

Divide each side by 9

9x/9 = 72/9

x = 8

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If a car traveled 162 miles in 3 hours, how many hours would it take to travel 351 miles? Please show work! :)
Flauer [41]

Answer:

390 minutes

Step-by-step explanation:

162 / 3 = 54

351 / 54 = 6.5

6.5 x 60 = 390 minutes

4 0
2 years ago
At a certain real estate firm, realtors selling homes receive a commission of: 7% for the first $100,000 of the selling price, a
scoray [572]

Answer: The actual price of house sold at $109000.

Step-by-step explanation:

Since we have given that

Selling price = $100000

Rate of commission = 7%

So, Amount of commission would be

\dfrac{7}{100}\times 100000\\\\\=\$7000

Total commission = $7540

So, Remaining amount of commission would be

\$7540-\$7000\\\\=\$540

Rate of commission exceeding $100000 = 6%

Let the selling price of house be 'x'.

According to question,

\dfrac{6}{100}\times x=540\\\\0.06x=540\\\\x=\dfrac{540}{0.06}\\\\x=\$9000

Hence, the actual price of house sold at

$100000+$9000=$109000.

3 0
2 years ago
Х
scZoUnD [109]

Step-by-step explanation:

m=y2-y1/x2-x1

m=0-(-2)/4-2

m=2/2

m=1

5 0
3 years ago
Please help me with this I would give you 50 points.
Crazy boy [7]
The weekly charge for her lessons is 81.25
(multiply the hours with the amount of money they earn per hour)
independent variable=weeks
dependent variable=$32.50 per hour
3 0
2 years ago
Read 2 more answers
An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline
Greeley [361]

Answer:

0.5438 = 54.38% probability that a seat will be available for every person holding a reservation and planning to fly

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 105, p = 1 - 0.05 = 0.95

I use p = 0.95 because i consider a success a person showing up to the flight. 5% probability that a person misses the flight, so 100-5 = 95% probability that a person shows up to the flight.

For the approximation:

\mu = E(X) = np = 105*0.95 = 99.75

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{105*0.95*0.05} = 2.23

What is the probability that a seat will be available for every person holding a reservation and planning to fly?

Probability of 100 or less people showing up, which is the pvalue of Z when X = 100. So

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

Z = \frac{100 - 99.75}{2.23}

Z = 0.11

Z = 0.11 has a pvalue of 0.5438

0.5438 = 54.38% probability that a seat will be available for every person holding a reservation and planning to fly

4 0
2 years ago
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