Answer:
x = 28/3
Step-by-step explanation:
We can solve this problem by using similar triangles:
Both of these triangles have a 90 degree angle and they share angle A, meaning that they are similar by AA similarity.
Now we can set up ratios and solve:
13/7 = (x+8)/x
multiply both sides by x:
13x/7 = x+8
Multiply both sides by 7:
13x = 7x + 56
move the 7x over and divide by 6:
6x = 56
x = 28/3
$6662.50
4.75% = $237.50
$237.50 x 7 = $1662.50
$5000 + $1662.50 = $6662.50
Answer = $6,662.50
Answer:
0.11
Step-by-step explanation:
Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6
The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4
Given n = 10, we want to determine P(x = 4)
From the binomial distribution calculator,
P(x = 4) = 0.11
Find the 10th term in the following arithmetic sequence if the constant being added is -12
Step-by-step explanation:
20 - 12 = 8
8 - 12 = -4
-4 - 12 = -16
So the sequence will be
20; 8; -4; -16
an = 20 - 12(n - 1)
a10 = 20 - 12(10 - 1) = -88
Answer:
a. 99.7%
b. 68%
Step-by-step explanation:
The empirical rule for approximately symmetrical and bell-shaped distributions states that:
68% of the data are among the values (means - sd) and (means + sd)
95% of the data are among the values (means - 2*sd) and (means + 2*sd)
99.7% of the data are among the values (means - 3*sd) and (means + 3*sd). So that,
68% of the data are among the values (180 - 8) = 172 and (180 + 8) = 188
95% of the data are among the values (180 - 16) = 164 and (180 + 16) = 196
99.7% of the data are among the values (180 - 24) = 156 and (180 + 24) = 204
