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4 years ago

What angle is alternate exterior to <2

Mathematics

1 answer:

irinina [24]4 years ago

3 0

Alternate exterior is outside of the parallel lines and on the other side of the transversal

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A pump moves 42 gallons in seven minutes.Find the unit rate.

I am Lyosha [343]

Answer:

6 GALLONS PER MINUTE

Step-by-step explanation:

42/7=6

6 gallons per minute

plz mark brainliest

3 0

3 years ago

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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

shepuryov [24]

Question Continuation

Find the following probabilities. (Round your answers to four decimal places.)

(a) 15 or more will live beyond their 90th birthday

(b) more than 40 will live beyond their 90th birthday

Answer:

a. 0.9948

b. 0.0068

Step-by-step explanation:

Given

Number of graduating students, n = 723

Probability, p = 3.8% = 0.038

q = 1 - p = 1 - 0.038 = 0.962

Calculating the mean

Mean, u = np

u = 723 * 0.038

u = 27.474

Calculating the standard deviation

σ = √npq

σ = √(723 * 0.038 * 0.962)

σ = 5.14101040652516088641079

σ = 5.141 --- Approximated

We'll solve the following using z = (x-u)/σ

x = 14.5 (I.e Atleast 15)

u = 27.474

σ = 5.141

Z = (14.5 - 27.474)/5.141

Z = −2.5236335343318420540750

Z = -2.52

From the binomial distribution table

The corresponding value at z = -2.52 is 0.0052

So, the probability that 15 or more will live beyond their 90th birthday = 1 - 0.0052

= 0.9948

For more than 40

x = 40.5

u = 27.474

σ = 5.141

Z = (40.5 - 27.474)/5.141

Z = 2.53374829799649873565454

Z = 2.53

From the binomial distribution table

The corresponding value at z = 2.53 is 0.9932

So, the probability that more than 40 will live beyond their 90th birthday = 1 - 0.9932

= 0.0068

6 0

4 years ago

Nolan says he has 75 hubdreths of a dollar. If he only has 3 coins,what are the coins

Murrr4er [49]

He has three quarters because a 1 hundreth of a dollar is 1 cent. He has 75 hundredths which means he has 75 cents, the only three coins that can make up 75 with exactly 3 coins is three quarters. Hope I helped :( be sure to thank and mark brainlist

5 0

4 years ago

Based on the family the graph below belongs to, which equation could represent the graph?

lord [1]

Answer-

Equation 1 is the equation which represents the graph.

Solution-

From the graph it can be noticed that, the function is a hyperbola. It is a rectangular hyperbola.

The general form of rectangular hyperbola is,

$xy=c^2$

Where c is a constant.

Equation 1 represents a function of rectangular hyperbola, with vertical asymptote as x=-2 .

Equation 2 represents an exponential function.

Equation 2 represents an cubic function.

Equation 2 represents logarithmic function.

Therefore, equation 1 is the equation which represents the graph.

7 0

3 years ago

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A shipping crate is packed with unit cubes. The length of the crate is 4

aleksley [76]

Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

Volume of shipping crate = Length * Width * Height

Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

7 0

3 years ago

Read 2 more answers