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lara [203]
2 years ago
11

If ∠8 measures 116°, what is the measure of ∠3? (Lines b and c are parallel.)

Mathematics
2 answers:
natita [175]2 years ago
7 0
The first one 64 degrees
mina [271]2 years ago
3 0
It is 64 degrees


Did the quiz
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Fifty draws are made at random with replacement from the box [ 0 0 1 1 1]. There are 33 ticket 1’s among the draws. The expected
Aleks04 [339]

Answer:

- The Expected value for the sum is 30.

- The Observed sum of 50 draws is 33.

- The Chance Error on the 50 draws is 3.

- The Standard Error on 50 draws is 2.191.

Step-by-step explanation:

The box contains [0, 0, 1, 1, 1]

Using probability to predict the expected outcome.

On one draw, the probability of drawing a 0 is (2/5).

And the probability of drawing a 1 is (3/5).

Probability mass function would look like

X | P(X)

0 | 0.40

1 | 0.60

So, expected value on one draw would be

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

E(X) = (0×0.40) + (1×0.60) = 0.60.

Standard error on one draw = √[Σ(xᵢ - μ)²/N]

μ = E(X) = 0.60

Σ(xᵢ - μ)² = (0 - 0.60)² + (0 - 0.60)² + (1 - 0.6)² + (1 - 0.6)² + (1 - 0.6)² = 1.20

SE = √(1.2/5) = 0.490

So, for 50 draws (with replacement),

E(50X) = 50E(X) = 50 × 0.60 = 30.

For 50 draws, standard error = √50 × 0.490 = 2.191

The expected value for the sum = 30

The observed valued for the sum = (33×1) + (17×0) = 33

Chance Error = (Observed Outcome) - (Expected Outcome) = 33 - 30 = 3

Standard error gives an idea of how large the chance error would be.

Standard error on 50 draws = 2.191

Hope this Helps!!!

5 0
3 years ago
A decimal rounded to the nearest hundredth is 6.32.This decimal is greater than 6.32
Salsk061 [2.6K]
Hi there!

First of all we need to remember the number 6.32.

It could be any of the following:
6.323 OR 6.324

We are rounding UPPP! If you were to round down it would be 6.32 or less.

Hope this helped!
5 0
3 years ago
Read 2 more answers
Mr.Joseph recently received a notice that his average gas and electric bill would increase at the beginning of the year. He went
son4ous [18]

Answer:

about 2,546

Step-by-step explanation:

4 0
3 years ago
Olve for x. Check each step or answer that is correct. 34(x + 4) = 14(x + 8) (A) Distribute 34 on the left side of the equation.
Fantom [35]

Answer:

x = -1.2

Step-by-step explanation:

Th given equation is :

34(x + 4) = 14(x + 8)

Step (A) Distribute 34 on the left side of the equation such as :

34x + 34(4) = 14(x + 8)

34x + 136 = 14(x + 8)

Step (B) Distribute 14 on the right side of the equation such as :

34x + 136 = 14x + 14(8)

34x + 136 = 14x + 112

Step (C) Subtract 14x from each side of the equation.

34x + 136 - 14x = 14x + 112 -14x

20x + 136 = 112

Step (D) Subtract 136 from each side of the equation.

20x + 136 -136 = 112 -136

20x = -24

Step (E) Divide both side by 20

\dfrac{20x}{20}=\dfrac{-24}{20}\\\\x=-1.2

So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.

3 0
3 years ago
Through (5, -2), parallel to y=-3/4x-4
Stels [109]

Answer:

1.75=b

Step-by-step explanation:

do the equation:

-2=3/4(5)+b

-2=-3.75+b

+3.75 to both sides

1.75=b

5 0
3 years ago
Read 2 more answers
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