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AlladinOne [14]
3 years ago
6

PLS HELP!!! Find the value of x in each figure and place the correct value into the box. Assume that the lines are parallel.

Mathematics
1 answer:
torisob [31]3 years ago
6 0

Answer:

3x – 2 = 76 (Alternate Interior Angles)

3x = 76 + 2

3x = 78

x= 26°.

x + 2 = 40 (Alternate Interior angles).

x = 40 - 2

x= 38

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33. The population of Canada, y (in millions), can be approximated by the relation y=
larisa [96]

Answer:x=6573/500,x=13(73/500

Step-by-step explanation:

8 0
3 years ago
A rectangular tank measures 16 cm by 9 cm by 10 cm. How many milliliters of water are in the tank when it is full? How many lite
trapecia [35]

Answer:

1,440 cubic centimeter = 1,440 milliliters

1,440 cubic centimeter= 1.44 liters

Step-by-step explanation:

Volume of the rectangular tank = length × width × height

Length = 16 cm

Width = 9 cm

Height = 10 cm

Volume of the rectangular tank = length × width × height

= 16 cm × 9 cm × 10 cm

= 1,440 cm³

Volume of the rectangular tank = 1,440 cm³

How many milliliters of water are in the tank when it is full?

1 cubic centimeter = 1 milliliter

1,440 cubic centimeter = 1,440 milliliters

How many liters?

1 cubic centimeter = 0.001 liters

1,440 cubic centimeter= 1.44 liters

7 0
3 years ago
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

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

By the Central Limit Theorem

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

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
The difference between city hall and the post office is 6 1/2 miles ( six and one half)city hall is 1 1/3 (one and one fourth NO
Norma-Jean [14]
City hall to post office = 6 1/2 miles  = represented by f
city hall to library site = 1 1/4 miles  = represented by d
library site to post office = unknown. = represented by e

City hall to library site  PLUS library site to post office IS EQUAL to city hall to post office

d + e = f

1 1/4 + e = 6 1/2

find e.
e = 6 1/2 - 1 1/4
e = 13/2 - 5/4
e = (13*2)/(2*2)  - 5/4
e= 26/4 - 5/4
e = (26-5)/4
e = 21/4
e = 5 1/4    distance from library site to post office.
 
To check:
d + e = f

1 1/4 + e = 6 1/2
1 1/4 + 5 1/4 = 6 1/2
6 2/4 = 6 1/2
6 1/2 = 6 1/2



6 0
3 years ago
Find the value , i got 8 but not in options pls confirm​
Mashcka [7]

Answer:

E

Step-by-step explanation

24/7+2 = 38/7

if you plus them they are the same

8 0
2 years ago
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