Answer:
<STP=105°
Step-by-step explanation:
two interior angles equal one opposite exterior angle therefore
7x+6+7x+1=15x
group like terms
6+1=15x-7-7
7=15x-14x
7=x
for 15x
15 will multiply 7 and that is 105
Answer:
A) $28.14 B) $8.14
Step-by-step explanation:
1 * 12.95 = $12.95
2 * 3.20 = $6.40
1 * 8.79 = $8.79
we add up all these numbers, 28.14
well he has only 20 bucks, so he still needs 28.14-20= $8.14
Please don't forget to give brainliest ;)
Here, we want to express the given fraction as a decimal by the use of long division
We start by writing the long division sign
We place 5 on the left hand side outside and place 4 inside the long division sign
Now, as we know, 4 cannot divide 5 wholly as it is less than 5
We simply add a 0 at the top of the long division symbol, with a decimal point after it.
Concurrently, we place a zero after 4
Hence we have 40 inside the long division
Then we can divide 40 by 5 to get 8
The 8 now comes after the decimal point
Hence, our answer is 0.8
Pictorally, we can have the representation as follows;
Answer:
The 95% confidence interval for the difference of the two populations means is ( 2.4, 41.6)
Step-by-step explanation:
Confidence intervals are usually constructed using the formula;
point estimate ± margin of error
In this question we are required to construct a 95% confidence interval for the difference of two populations means. The point estimate for the difference of two population means is the difference of their sample means which in this case is 22.
Assuming normality conditions are met, since we have no information on the sample sizes, the margin of error will be calculated as;
margin of error = z-score for 95% confidence * standard deviation of the difference of the sample means
The z-score associated with a 95% confidence interval is 1.96
The standard deviation of the difference of the sample means is given as 10
The 95% confidence interval for the difference of the two populations means is thus;
22 ± 1.96(10) = 22 ± 19.6 = ( 2.4, 41.6)
50 + .4x = 70 + .3x
.4x = .3x + 20
.1x = 20
x = 200
Let x be the number of miles.
They have to drive 200 miles.
