Answer:
13
Step-by-step explanation:
We know that a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 =c
A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:
μ1 − μ2 = x1 – x2 =
7.82 – 5.99
μ1 − μ2 = 1.83
B. The formula for
confidence interval is given as:
Confidence interval
= (x1 –x2) ± z σ
where z is a value
taken from the standard distribution tables at 99% confidence interval, z =
2.58
and σ is calculated
using the formula:
σ = sqrt [(σ1^2 /
n1) + (σ2^2 / n2)]
σ = sqrt [(2.35^2 /
18) + (3.17^2 / 15)]
σ = 0.988297
Going back to the
confidence interval:
Confidence interval
= 1.83 ± (2.58) (0.988297)
Confidence interval
= 1.83 ± 2.55
Confidence interval
= -0.72, 4.38
Answer:
-2
Step-by-step explanation:
3 - 5 = -2
Place the dot on -2 on the number line that is on your problem as the answer. To show the steps on the number line, use your jumps to go back. For example, your starting point will be on 3, and then use your jumps to go back by 5; that means you go into the negatives. For this case, it is -2.
Answer: -16
Step-by-step explanation:
Let the number be y
Four times a number minus twenty-one can be written as:
(4 × y) - 21 = 4y - 21
Six times the number plus eleven can be written as:
(6 × y) + 11 = 6y + 11
Combining both equations will give:
4y - 21 = 6y + 11
4y - 6y = 11 + 21
-2y = 32
y = 32/-2
y = -16
The number is -16
The answer is
n = 37 - d
0.05n + 0.10d = 3.10
He has 25 dimes.
n - the number of nickles
d - the number of dimes
n = $0.05
d = $0.10
<span>Carter has 37 coins: n + d = 37
</span><span>The value of the coins is $3.10: 0.05n + 0.10d = 3.10
</span>n + d = 37
0.05n + 0.10d = 3.10
_____
n = 37 - d
0.05n + 0.10d = 3.10
_____
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
1.85 + 0.05d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25 : 0.05
d = 25
