Answer:
C
Step-by-step explanation:
You have to divide both sides by the coefficient of x
The margin of error given the proportion can be found using the formula

Where

is the z-score of the confidence level

is the sample proportion

is the sample size
We have



Plugging these values into the formula, we have:

The result 0.14 as percentage is 14%
Margin error is 38% ⁺/₋ 14%
0.088
Step-by-step explanation:
The total number of balls in the urn is;
8 + 5 = 12
Because the pink balls are 8, then the probability of picking a pink ball from the urn is;
8/12
To get the probability that all 6 balls drawn from the urn are pink, we will use the AND probability rule of the mutually exclusive events which means we’ll multiply the probabilities of each of the six pink balls;
8/12 * 8/12 * 8/12 * 8/12 * 8/12 * 8/12
= 0.088
Learn More:
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Answer:
852
6×10(6)+7×10(5)+3×10(2)+8×10+2= 852
Step-by-step explanation:
ORDER OF OPERATIONS Will really help you solve this long problem.
Order of operations is PEMDAS.
P-parenthesis
E-exponents
M-multiplication
D-division
A-addition
S-subtraction
6)(10)(6)+(7)(10)(5)+(3)(10)(2)+(8)(10)+2
=(60)(6)+(7)(10)(5)+(3)(10)(2)+(8)(10)+2
=360+(7)(10)(5)+(3)(10)(2)+(8)(10)+2
=360+(70)(5)+(3)(10)(2)+(8)(10)+2
=360+350+(3)(10)(2)+(8)(10)+2
=710+(3)(10)(2)+(8)(10)+2
=710+(30)(2)+(8)(10)+2
=710+60+(8)(10)+2
=770+(8)(10)+2
=770+80+2
=850+2
=852
Answer:
Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13
Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot
Step-by-step explanation:
Part 9)
Let
x ----> number of items on Emily's grocery list
x ----> number of items on Bobby's grocery list
we know that
----> equation A
----> equation B
Solve by substitution
Substitute equation A in equation B

solve for x



Find the value of y

therefore
The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13
Part 10)
Let
x ----> the height of the taller bookshelf in feet
y ----> the height of the shorter bookshelf in feet
we have
----> equation A
Remember that

To convert inches to feet divide by 12
so

----> equation B
Solve the system by substitution
substitute equation A in equation B
solve for y
Find the value of x

therefore
The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot