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3 years ago

Translate each algebraic expression into ordinary words. a. 5x-3 b. 2(x+y) c. 3-(x+5)

1 answer:

4 0

Hey there!
For all this, we'll start with defining any variable as "a number", as we're using words.
a) Three less than the product of five and a number.
b) Two times the sum of x and y.
c) Three subtracted from the sum of a number and five.
Hopefully this helps!

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Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a

Diano4ka-milaya [45]

Answer:

a) The standard error would be of 8.58 pounds.

b) The margin of error is 14.11 pounds.

c) The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

Step-by-step explanation:

a.What is the standard error?

The standard error is

$s = \frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. So

$s = \frac{47}{\sqrt{30}} = 8.58$

The standard error would be of 8.58 pounds.

b.What is the margin of error at 90% confidence?

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*s = 1.645*8.58 = 14.11$

The margin of error is 14.11 pounds.

c. Using my sample of 30, what would be the 90% confidence interval for the population mean?

Lower bound: Sample mean subtracted by the margin of error.

247 - 14.11 = 232.89 pounds

Upper bound

247 + 14.11 = 261.11 pounds

The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

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3 years ago

If m∠SRQ = 6x + 2 and m∠QRP = 2x + 10, find the value of x . *

Neko [114]

Answer:

for m∠SRQ x = 3

for m∠QRP x = 5

Step-by-step explanation:

1. 6x +2. 6 is being multiplied by a number so to find that number we do teh opposite

6x/2 = 3

drop the x then u have x = 3

2. 2x+10. 2 is being muliplied by a number so to find that number we do teh opposite

10/2x = 5

drop the x then u have x = 5

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3 years ago

Use the given information to prove that RSU=TSV

RoseWind [281]

Answer:

Statement, Reason

Given segment RV = segment TU, Given

m∠R = m∠T, Given

Segment RS ≅ segment ST, Base angles theorem

ΔRSV ≅ ΔTSU, SAS rule of congruency

Segment SV ≅ segment SU, CPCTC

VU ≅ UV, Reflexive property

RU = RV + VU, TV = TU + UV, Addition of segments

RV + VU ≅ TU + UV, Addition property of equality

RU ≅ TV, Transitive property of addition

ΔRSU ≅ ΔTSV, SSS rule of congruency

Step-by-step explanation:

Where:

SAS- Side Angle Side

CPCTC -Congruent Parts of Congruent Triangles are Congruent

SSS -Side Side Side

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3 years ago

How is Solving for speed similar to solving for time? They both require that two numbers be added. They both require that two nu

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Answer:

They both involve writing a rate.

Step-by-step explanation:

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3 years ago

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Answer:

y=-4x-3

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3 years ago