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3 years ago

8

After 4new students joined a class the class had 32students which equation can be used to find n the number of students in the c

lass before the 4new students joined

1 answer:

Pani-rosa [81]3 years ago

3 0

Answer:

n+4=32 is the answer

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In a random sample of 13 residents of the state of Washington, the mean waste recycled per person per day was 1.6 pounds with a

rusak2 [61]

Answer:

<em>The 98% confidence interval for the mean waste recycled per person per day for the population of Washington</em>

<em>(1.2878 ,1.9122)</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given random sample size 'n' = 13

<em>The mean waste recycled per person per day </em>

<em> x⁻ = 1.6 pounds </em>

<em>The standard deviation of the sample 's' = 0.43 pounds</em>

<em>Degrees of freedom </em>

<em>ν = n-1 = 13 -1 =12</em>

<em>t₀.₀₁ = 2.618</em>

<u><em>step(ii)</em></u><em>:-</em>

<em>The 98% confidence interval for the mean waste recycled per person per day for the population of Washington</em>

<em></em> $(x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )$ <em></em>

<em></em> $(1.6 - 2.618 \frac{0.43}{\sqrt{13} } , 1.6 - 2.618 \frac{0.43}{\sqrt{13} } )$ <em></em>

( 1.6 - 0.3122 , 1.6 +0.3122)

<em>(1.2878 ,1.9122)</em>

<u><em>Final answer</em></u><em>:-</em>

<em>The 98% confidence interval for the mean waste recycled per person per day for the population of Washington</em>

<em>(1.2878 ,1.9122)</em>

5 0

3 years ago

A car travels 240 miles in 4 hours. at this rate, how many miles will it travel in 8 hours

oksian1 [2.3K]

First you need to find the rate. This problem is based on the formula d = rt
d = distance
r = rate
t = time.

The question is asking how many miles will it travel in 8 hours so to find this out we need to find the rate when the car travels 240 miles in 4 hours. We use this information and plug it into the model d = rt

d = 240
r = don't know yet
t = 4 hr
d = rt
240 = 4r
240 / 4 = 4r / 4
60 = r
r = 60
So the car is going at a rate of 60 miles per hour. Now that we know this we can solve for how many miles the car will travel in 8 hours.
d = rt
d = r * t
d = 60 * 8
d = 480

So the car will travel 480 miles in 8 hours

Another way to think about this is that you know the car traveled 240 miles in 4 hours and the question is wanting to know how far the car will travel in 8 hours, which would be double the 4 hours so 240 + 240 = 480

8 0

4 years ago

Five people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there? Show your

blagie [28]

Answer:

10

Step-by-step explanation:

1 2 3 4 5

1 shakes hands with 2,3,4,5

2 shakes hands with 3,4,5 but not with 1 because they already shook hands once

similarly, 3 only shakes hands with 4 and 5, same reason as abov

4 with 5 only, same reason

7 0

3 years ago

Read 2 more answers

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

Pepsi [2]

X=4
Step 1: Simplify both sides of the equation.
1.5(x+4)-3=4.5(x-2)
(1.5)(x)+(1.5)(4)+ -3 =(4.5)(x)+(4.5)(-2)
(1.5x) + ( 6+-3) =4.5x - 9
(Combine like terms)
1.5x+3=4.5x-9

Step 2: Subtract 4.5x from both sides.
1.5x +3 -4.5x =4.5x=-9-4.5x-3x+3=-9

Step 3: Subtract 3 from both sides.
-3x+3-3=-9-3
-3x=12

Step 4: Divide both by -3
-3x/-3=-12/-3
X=4

6 0

3 years ago

Can someone help me with this math problem please

inysia [295]

Answer:

A is 0.2, B is 0.34, C is 63.02, and D is 91.16

Step-by-step explanation:

For A: 2 divided by 10, For B: 34 divided by 100, For C: 2 divided by 100 and added it to 63, and for D I did 16 divided by 100 and added it to 91.

3 0

3 years ago