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Anna11 [10]
3 years ago
12

How do you get the answer to w=gm for m in algebra solve each equation for the indicated variable

Mathematics
1 answer:
Kamila [148]3 years ago
8 0
You can answer this by manipulating the equation. In the given equation, w is isolated. You have to manipulate the equation and isolate m on one side. This can be done by dividing both sides of the equation by g. The solution is as follows:

(w = gm)÷g
w/g = m

Therefore, m is the quotient of w divided by g.
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A state legislator wants to determine whether his voters' performance rating (0 - 100) has changed from last year to this year.
ra1l [238]

Answer:

Step 1 of 4

Point estimate for the population mean of the paired differences = -8.2

Step 2 of 4

Sample standard deviation of the paired differences = 16.116244

Step 3 of 4

Margin of Error = ±9.326419

Step 4 of 4

90% Confidence interval = (-17.5, 1.1)

Step-by-step explanation:

The ratings from last year and this year are given in table as

Rating (last year) | x1 | 87 67 68 75 59 60 50 41 75 72

Rating (this year) | x2| 85 52 51 53 50 52 80 44 48 57

Difference | x2 - x1 | -2 -15 -17 -22 -9 -8 30 3 -27 -15

Step 1 of 4

Mean = (Σx)/N = (-82/10) = -8.2 to 1 d.p.

Step 2 of 4

Standard deviation for the sample

= √{[Σ(x - xbar)²]/(N-1)} = 16.116244392951 = 16.116244 to 6 d.p.

Step 3 of 4

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = -8.2

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 10 - 1 = 9.

Significance level for 90% confidence interval

= (100% - 90%)/2 = 5% = 0.05

t (0.05, 9) = 1.83 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 16.116244

n = sample size = 10

σₓ = (16.116244/√10) = 5.0964038367

Margin of Error = (Critical value) × (standard Error of the mean) = 1.83 × 5.0964038367 = 9.3264190212 = 9.326419 to 6 d.p.

Step 4 of 4

90% Confidence Interval = (Sample mean) ± (Margin of Error)

CI = -8.2 ± (9.326419)

90% CI = (-17.5264190212, 1.1264190212)

90% Confidence interval = (-17.5, 1.1)

Hope this Helps!!!

4 0
3 years ago
Can somone help me with 1,2,3 ????
Llana [10]

Answer:

This is a weird assignment

Step-by-step explanation:

1)    7.5 minute per mile

10 convert hours to min (900 min) and then simply the unit of 6771 miles by 900 min. The objective is to know how far you travel in one minute.

3) Chose any country in South America:

Brazil, Argentina, Peru, Columbia, Venezuela, Bolivia, etc.

6 0
3 years ago
When solving an equation, Drew's first step is shown below. Which property justifies
Diano4ka-milaya [45]

Answer:

good luck...

Step-by-step explanation:

3 0
2 years ago
A similarity transformation maps ∆ABC to ∆JKL. The measure of ∠A of preimage ∆ABC is 105°. The scale factor of the dilation in t
sveticcg [70]

Answer:

Option C. m

Step-by-step explanation:

we know that

If two figures are similar, then the ratios of its corresponding sides is equal and its corresponding angles are congruent

so

m<A=m<J

m<B=m<K

m<C=m<L

therefore

The measure of angle J is the same that the measure of angle A

m

5 0
3 years ago
Read 2 more answers
Coach Beard has 24 softballs to use this fall. She orders 2 more buckets of softballs that have 20 in each bucket. How many soft
jek_recluse [69]

Answer:

64 softballs

Step-by-step explanation:

Coach Beard currently already has 24 softballs.

When she orders 2 more buckets with 20 in each, that's another 20 + 20 = 40 softballs added to the original 24. So, let's add these two numbers:

24 + 40 = 64

The answer is 64 softballs.

<em>~ an aesthetics lover</em>

3 0
3 years ago
Read 2 more answers
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