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2 years ago

Find x. to 150 X = Alternate interior angles

Mathematics

1 answer:

eimsori [14]2 years ago

3 0

Answer: 75 degrees

Step-by-step explanation: supplementary angles= 180 degrees, 180 - 115 = 75

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What is the difference between a confounding and a lurking variable?

Gennadij [26K]

Answer:

A lurking variable is a variable that has an important effect on the relationship among the variables in the study, but is not one of the explanatory variables studied. Two variables are confounded when their effects on a response variable cannot be distinguished from each other.

4 0

3 years ago

Read 2 more answers

Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the Mean for sample of taste of pizza in California:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the Mean for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The Variance for the sample in California is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50

The Variance for the sample in Iowa is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in California, the Range is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

Mean = 33.1;
Variance = 120.50;
Range = 32;

For Iowa:

Mean = 24.5;
Variance = 32.73;
Range = 19;

6 0

3 years ago

What is the simplified form of the following expression? 10abc^2 sqrt 49a^2b^2c^2

Elodia [21]

$10abc^2\sqrt{49a^2b^2c^2}=70a^2b^2c^3$

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

$10abc^2\sqrt{49a^2b^2c^2}$

$\sqrt{49a^2b^2c^2}=7abc$

$7\cdot \:10aabbc^2c$

$70aabbc^2c$

$70a^2bbc^2c$

$70a^2b^2c^2c$

$70a^2b^2c^3$

4 0

3 years ago

Read 2 more answers

When flying from Florida to the Philippines island why does the shortest route pass through Alaska?

seraphim [82]

Because the earth is round, the distance seen on a flat map is a lot further than the distance on a globe, because of distortion. So following the circle that goes through these 3 points ( Florida, Alaska and the Philippines) it is a shorter distance to fly over Alaska.

7 0

3 years ago

I am working on a test review. How can I write -1 <= 2x+7 <21 as two inequality statements? How do I join them with and/or

Tanya [424]

Answer:

$( - 1 > 2x + 7)(2x + 7 < 21)$

Not sure about the and/or statement

6 0

3 years ago