It cant be 5 the length has to bw 10
Answer: c. –1 and .1587
Step-by-step explanation:
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since Alternative hypothesis is left-tailed ,so the test must be a left tailed test .
Z -Test statistic for proportion = 
, where p= population proportion
= sample proportions
n= Sample size.
Let x be the number of successes.
For n= 40 and x= 11
Then , 
By using z-table ,
P-value for left-tailed test = P(z<-1)= 1-P(z<1) [∵ P(Z<-z)= 1-P(Z<z) ]
= 1-0.8413
=0.1587
Hence, the -score and P-value are <u>–1 and 0.1587</u> .
So the correct option is c. –1 and .1587
Answer:
527 cubic meters
Step-by-step explanation:
The area of the cube would be 7.5^3 and the area of the rectangular prism would be 3.75*3.75*7.5. Then it would be 421.9 + 105.5 and rounded to the whole number the answer would be 527
12 and 1/4 Inches is the distance between the cafeteria and the science lab
Answer:
$3,000 invested at 6%
$7,000 invested at 10%
Step-by-step explanation:
Maria had total $10,000 to invest.
Let x be the amount that Maria invested initially at 6% interest rate.
0.06x
Then she invested the remaining amount at 10% interest rate.
0.10(10,000 - x)
She received a total of $880 in interest.
0.06x + 0.10(10,000 - x) = 880
0.06x + 1000 - 0.10x = 880
-0.04x = 880 - 1000
-0.04x = -120
0.04x = 120
x = 120/0.04
x = $3,000
This is the amount that Maria invested initially at 6% interest rate.
The remaining amount is
10,000 - 3,000
$7,000
This is the remaining amount that she invested at 10% interest rate.
