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Illusion [34]
3 years ago
14

Do not know how to solve or work out

Mathematics
1 answer:
ehidna [41]3 years ago
7 0
-3x + 20 > = 8
-3x > = 8 - 20
-3x > = -12
x < = -12/-3
x < = 4

( - infinity, 4] <== interval notation
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Please help (20 points)
Evgesh-ka [11]

35.\\V=\dfrac{\pi r^2h}{3}\ \ \ \ |\cdot3\\\\3V=\pi r^2h\ \ \ \ |:\pi r^2\\\\\boxed{h=\dfrac{3V}{\pi r^2}}

36.\\V=150\ m^3\\r=5\ m\\h=?\\\\\text{substitute}\\\\h=\dfrac{3\cdot150}{\pi\cdot5^2}=\dfrac{450}{25\pi}=\dfrac{18}{\pi}\approx\dfrac{18}{3}=6\ m\\\\Answer:\ The\ height\ is\ greater\ than\ a\ radius.

8 0
3 years ago
Mr suresh had 7/9 kg of sugar. He used 1/3 of it. How much sugar did he use?​
BabaBlast [244]

1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg

He used 7/27 kg of sugar.

3 0
3 years ago
A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down du
Mariana [72]

Answer:

4.01% probability that the battery will break down during the warranty period

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 = 45, \sigma = 12

a. What is the probability that the battery will break down during the warranty period

Warranty of 2 years = 24 months. So this is the pvalue of Z when X = 24.

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

Z = \frac{24 - 45}{12}

Z = -1.75

Z = -1.75 has a pvalue of 0.0401

4.01% probability that the battery will break down during the warranty period

7 0
3 years ago
Need help quick<br> Please 25 points
slega [8]
For every four miles Ariana drove, Jonathan drove seven miles
6 0
2 years ago
Read 2 more answers
What are the minimum, first quartile, median, third quartile, and maximum of the data set? PLEASE Show your work.
Schach [20]
54 55 59 61 61 62 68 70 72
First put your numbers in order from least to greatest. This shows your minimum is 54 and maximum is 72.
In the middle of the data set is 61.

54 55 59 61. 61. 62 68 70 72

To find the first qaurtile only use the numbers before rhe median (54 55 59 61) and find the median of that. Since 55 and 59 are both in the middle add them both and divide by two to find the middle lf those two numbers. You should get 57. So 57 is the first quartile.

Do the same steps with the numbers after the meadian for your third quartile. You should get 69 as your answer for the third quartile.
7 0
3 years ago
Read 2 more answers
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