bananas cost $0.80 a pound. in a relation, the input is the number of pounds of bananas and the output is the cost.

Answers

Answer 1
Answer:

Yes because one input (number of pounds of banana) will always have the same output (cost).

Answer 2
Answer:

Answer:

True. This isn't really a question but it is a statement

Step-by-step explanation:

1 pound       80 cents

2 pounds     1.60

3 pounds     2.40

and so on


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according to the line plot how many more Runners ran 1/3 of a mile for their warm-up than ran 1/4 of a mile​

Answers

Answer:

2

Step-by-step explanation:

count how many more

A soccer player scored 12 goals this season. He scored 30% of the goals for his team this season. How many goals did the entire team score this season?

Answers

Answer:

40 goalas

Step-by-step explanation:

30% x ? = 12

12/30% =

12/(30/100) =

(100 x 12)/30 =

1,200/30 =

40

The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches. What are the z-scores for a woman 6 feet tall and a man 5'10" tall? (You may round your answers to two decimal places) z-scores for a woman 6 feet tall: z-scores for a man 5'10" tall:

Answers

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. \mu_1 = 64   \sigma_1=2.7

Since , z=(x-\mu)/(\sigma)

Then, z-score corresponds to  a woman 6 feet tall (i.e. x=72 inches).

[∵  1 foot = 12 inches , 6 feet = 6(12)=72 inches]

z=(72-64)/(2.7)=2.96296296\approx2.96

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. \mu_2 = 69.3   \sigma_2=2.8

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵  1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

z=(70-69.3)/(2.8)=0.25

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

X=3/5 y=1/3 z=24/5 work out the value of z+x x y

Answers

The correct answer is 3.

If a 20-foot tree casts a 40-foot shadow, how tall is a tree that casts a 48-foot shadow?

Answers

the tree that casts a 48 foot shadow is 24 feet

X + y + w = b2x + 3y + z + 5w = 6

z + w = 4

2y + 2z + aw = 1

For what values a, b (constants) is the system:

(a) inconsistent?

(b) consistent w/ a unique sol'n?

(c) consistent w/ infinitely-many sol'ns?

Answers

Answer:

(a) a=6 and b≠(11)/(4)

(b)a≠6

(c) a=6 and b=(11)/(4)

Step-by-step explanation:

writing equation in agumented matrix form

\begin{bmatrix}1 &1 & 0 &1 &b\n 2 &3 & 1 &5 &6\n 0& 0 & 1 &1 &4\n 0& 2 & 2&a &1\end{bmatrix}

now R_(2) =R_(2)-2* R_(1)

\begin{bmatrix}1 &1& 0 &1 &b\n 0 &1& 1 &3 &6-2b\n 0& 0 & 1 &1 &4\n 0& 2 & 2&a &1\end{bmatrix}

now R_(4) =R_(4)-2* R_(2)

\begin{bmatrix}1 &1& 0 &1 &b\n 0 &1& 1 &3 &6-2b\n 0& 0 & 1 &1 &4\n 0& 0 & 0 &a-6 &4b-11\end{bmatrix}

a) now for inconsistent

rank of augamented matrix ≠ rank of matrix

for that  a=6 and b≠(11)/(4)

b) for consistent w/ a unique solution

rank of augamented matrix = rank of matrix

  a≠6

c) consistent w/ infinitely-many sol'ns

  rank of augamented matrix = rank of matrix < no. of variable

for that condition

 a=6 and b=[tex]\frac{11}{4}

then rank become 3 which is less than variable which is 4.