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V125BC [204]
3 years ago
5

Please help solve with work

Mathematics
1 answer:
sergey [27]3 years ago
4 0
X-4y=28
8x+4y=8
---------------
9x=36→x=4
4-4y=28→y=6
—-----------------------------------------------------------
y-5=x
4(y-5)-y=4
4y-20-y=4
3y=24
y=8
x8-5=3
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Last year the highest temperature in a city was recorded as 23ºC, and the lowest temperature was recorded as -10ºC. How many deg
DerKrebs [107]

33 degrees C

Step-by-step explanation:

On the integer scale, the numeric values can be added thus

23 to -10

23 to 0 and 0 to -10

23-0 = 23

0 -(-10) = 10

23 + 10 = 33

Thus, 33 degree C is the difference between the two temperatures.

5 0
3 years ago
Need help
aleksandr82 [10.1K]

Using the normal distribution, the probabilities are given as follows:

a. 0.4602 = 46.02%.

b. 0.281 = 28.1%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The parameters are given as follows:

\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24

Item a:

The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:

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

Z = \frac{984 - 959}{263}

Z = 0.1

Z = 0.1 has a p-value of 0.5398.

1 - 0.5398 = 0.4602.

Item b:

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

By the Central Limit Theorem:

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

Z = \frac{984 - 959}{43.24}

Z = 0.58

Z = 0.58 has a p-value of 0.7190.

1 - 0.719 = 0.281.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
2 years ago
Please help me!!!You will get 20 points...
pashok25 [27]

Use the rule of 3, note that we will convert the hours to minutes:

60 - 84
75 - x

(75 * 84) / 60 = x
6,300 / 60 = x
105 = x

105 minutes = 1h 45m


Hope it helped,

Happy homework/ study/ exam!

4 0
3 years ago
First, rewrite 5/9 and 11/21 so they have a common denominator. Then, use to order 5/9 and 11/21.
spayn [35]

5/9 and 11/21

LCM of the denominators is 63

changing their denominators to all have a common denominator of 63:

5(7)/63 = 35/63

11(3)/63 = 33/63

from the above;

5/9 > 11/21.

4 0
3 years ago
The interior angles of a triangle have measures k°, 27°, and 10°. What is the value of k? Enter your answer in the box.
Triss [41]
To find the measure of the third angle you should keep in mind the following:
 The sum of the three interior angles of a triangle is 180 °.
 We have then
 k + 27 + 10 = 180
 Clearing k:
 k = 180-27-10 = 143
 K = 143 °
 Answer:
 the value of k is 143 °
3 0
3 years ago
Read 2 more answers
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