Answer:
3. 9
4. 5 pounds
5. 5/12 of a pound
Step-by-step explanation:
3. "at least 3/8" means to include that column in the count.
4. 3(1/4) + 4(3/8 ) + 3(1/2) + 2(5/8)
= 3/4 + 12/8 + 3/2 + 10/8 but we need a common denominator. LMK in the comments if you need help with that
= 6/8 + 12/8 + 12/8 + 10/8
= 40/8
= 5 pounds.
5. For the average, we add up all the weights, then divide by the number of kittens. Thankfully, we just added everything up in #4. Since we're going to be dividing 5 by 12, we'll end up with a decimal. But since the whole problem was written in fractions, we'll keep it in fractions.
40/8 divided by 12 kittens
40/8 divided by 12 = 40/8 muliplied by the inverse of 12 which is 1/12
40/8 x 1/12
= 40/96
Our numerator and denominator can be evenly dived by 8, so the fraction is reduced to
= 5/12
I'm happy to answer any questions.
Answer:
22
Step-by-step explanation:
220 x 15 ÷ 150 = 22
or each gallon gives him 10 miles.
for 220 miles he needs 22 gallons
We conclude that he drove 176 miles on the highway
<h3>how many highway miles did he drive?</h3>
Here we have the equation:
A = (1/18)*c + (1/32)*h
Where A is the consumption in gallons of gas, c is the number of miles driven in the city and h is the number of miles driven in the highway.
Here we know that:
A = 8 gallons of gas.
c = 45 miles
Replacing that in the above equation, we can find the value of h.
8 = (1/18)*45 + (1/32)*h
8 - (1/18)*45 = (1/32)*h
32*(8 - (1/18)*45) = h = 176
We conclude that he drove 176 miles on the highway
if you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
Answer:
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²
The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
