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3 years ago

7t-(3s - u) for the variables : t = 7 s = 2 u = 1

Mathematics

1 answer:

kotykmax [81]3 years ago

6 0

Answer:

Plug the variables into the equation = 7(7)-(3(2) - (1)) = 44

Step-by-step explanation:

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Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system o

Lana71 [14]

Answer:

Mrs. grub bought total number of shirts = 1

Mrs. grub bought total number of hats = 8

Step-by-step explanation:

Let Mrs. grub bought total number of shirts = x

Let Mrs. grub bought total number of hats = y

As given,

Price of 1 shirt = $4

Price of 1 hat = $12

⇒ Price of x shirts = $ 4x

Price of y hats = $ 12y

Given that,

Mrs. Grubb bought total piece of clothes = 9

⇒ x + y = 9 .......(1)

Also given,

She bought all clothing for $100

⇒ 4x + 12 y = 100 ........(2)

Divide equation (2) by 4 we get

x + 3y = 25 .......(3)

Now,

Subtract equation (1) from equation (3) , we get

x + 3y - ( x + y ) = 25 - 9

⇒ x + 3y - x - y = 16

⇒2y = 16

⇒y = $\frac{16}{2}$ = 8

⇒ y = 8

Put value of y in equation (3), we get

x + 3(8) = 25

⇒x + 24 = 25

⇒x = 25 - 24 = 1

⇒x = 1

∴ we get

Mrs. grub bought total number of shirts = x = 1

Mrs. grub bought total number of hats = y = 8

8 0

3 years ago

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control a

Dafna11 [192]

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = $\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}$

= ${^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}$ + .......+ ${^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}$

= 0.04541 + ......+0.0000002079

= 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076

4 0

3 years ago

A bag contains 6 green marbles, 9 red marbles, 7 white marbles, and 3 black marbles. What is the probability of drawing a red ma

Alla [95]

The answer is <span>C. 9/25.

There are in total 25 marbles:
6 green + 9 red + 7 white + 3 black = 25 marbles.

There are 9 red marbles of the total 25 marbles. You can draw 9 red Thus, the probability of drawing a red marble out of the bag is 9 out of 25, which is 9/25.</span>

7 0

4 years ago

Please help asap 25 pts

riadik2000 [5.3K]

The answer would be A
Since the root is (7,0) and the vertical intercept is (0,7)

Hope this helps! :3

3 0

3 years ago

Read 2 more answers

HELP PLEASE 10 POINTS

tatuchka [14]

Answer:

Angle K is 55 degrees

Step-by-step explanation:

Angle K corresponds to Angle R

3 0

3 years ago