Answer:
C) 12/20
Step-by-step explanation:
Between 1 and 20, 10 numbers are even, 4 numbers are perfect squares (1, 4, 9, and 16), and 2 numbers are both even and perfect squares (4 and 16).
So the probability is:
(10 + 4 − 2) / 20 = 12/20.
<span>y = kx
x = y/k if y = 0.33 a</span><span>nd k = 1/4
x = 0.33/0.25
x = 1.32
answer
</span><span>D) 1.32</span>
Answer:
There are 72 cal in 2/3 cup serving of noodle soup
Step-by-step explanation:
The given parameters are;
The amount of calories in 3/4 cup serving of chicken noodle soup = 81 cal
The amount of calories in a 2/3 cup serving is given as follows;
3/4 cup contains 81 cal
1 cup contains 81/(3/4) cal = 81 × 4/3 cal = 108 cal
1 cup contains 108 cal
2/3 cup contains = 2/3 × 1 cup = 2/3 × 108 cal = 72 cal
2/3 cup contains 72 cal
Therefore, there are 72 cal in 2/3 cup serving of noodle soup.
1) name the variables:
- amount in account 1 "a"
- amount in account 2 "b"
2) trtanslate the statements into equations:
<span>- the
difference between account 1 and account 2 is $100.
=> a - b = 100
- if she uses 3/8 of
account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000.
=> (3/8)a + (7/8)b = 2000
3) solve the system of equations
(1) a - b = 100
(2) (3/8)a + (7/8b) = 2000
Steps:
- multiply equation (1) by 7 and equaton (2) by 8
=>
(1) 7a - 7b = 700
(2) 3a + 7b = 16,000
- add the two equations
=>
7a + 3a - 7b + 7b = 700 + 16,000
- combine like terms:
10a = 16,700
- divide by 10:
a = 16,700 / 10 = 1670
- use equation (1) to find b:
a - b = 100 => b = a - 100 = 1670 - 100 = 1570
Answer: Dawn has $ 1670 in account 1 and
$ 1570 in account 2.
</span>
Answer:
b) B and D and c) A and C
Step-by-step explanation:
The hypotheses would be:
(Right tailed test at 5% level)
Sample proportions are
Sample A B C D
Success 31 34 27 38
Proportion p 0.775 0.85 0.675 0.95
Std error
(sqrtpq/n) 0.066 0.056 0.074 0.034
p diff
p-0.75 0.025 0.10 - 0.075 0.20
Z stat
p diff/SE 0.0757 1.77 1.01 5.80
p value 0.469 0.038 0.156 0.000001
we find that p value is more smaller than alpha, the more accurate the alternate hypothesis.
b) Only B and D provide against the null. Because p <0.05
c) A and C provide no evidence for the alternative because p >0.05
