Answer:
a) 13.277
Step-by-step explanation:
The chi-square critical value can be assessed using chi-square area table and for this table need value of alpha and degree of freedom.
The value of alpha is given which is 0.01 and degree of freedom can be calculated as
df=k-1
Where k represent the categories which are 5 in the given case.
df=5-1=4.
For alpha=0.01 and df=4, we get the chi-square critical value 13.277.

so, we know the mixture is the sum of both types of coffee, thus x + 20 = y, and 4x + 140 = 5y.
Depends if you want
1. find how much he will earn, find the differnce between that and 18000
2. see how much to invest till he will get 18000
A=

A=futre amount
P=present amout
r=rate in decimal
n=number of times per year ccompounded
t=time in years
1.
A=?
P=9000
r=0.06
n=4 (quarter means 4 times per year)
t=2
?=

?=

?=

?=10138.4 will be earned
18000-10138.4=7861.6 needed
2.
A=18000
P=9000+x
r=0.06
n=4 (quarter means 4 times per year)
t=2
18000=

18000=

18000=

divide both sides by 1.015^8
15978.8=9000+x
minus 9000 both sides
6978.8 needed
if he willnot be investing any more, he needs $7861.6 more
if he will invest more he will need to invest $6978.8 more
<u>Answer:</u>
Tabitha will use 12 teaspoons.
<u>Explanation: </u>
According to the question, Tabitha has a largest volume-measuring tool teaspoon, and she wants to use one-fourth cup of broth.
Given that 1 cup consists of 16 tablespoons and 1 tablespoon has 3 teaspoons.
From the data, we can calculate that;
16 tablespoons will be equal to (3*16) = 48 teaspoons.
Therefore, 1 cup = 48 teaspoons.
Substituting the data and we can calculate that 1/4 cup = 48/4 = 12 teaspoons.
Answer:
Step-by-step explanation:
Delivery fee = $7.50
Price per pizza = $14
Planned amount = $60
7.50 + 14p < 60
Subtract 7.50 from both sides
14p < 60 - 7.50
14p < 52.50
Divide both sides by 14
p < 52.50 / 14
p < 3.75
Each pizza is cut into 8 slices
Total slices she can afford = 3.75 × 8
= 30 slices