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3 years ago

Find the solution to the system of equations. x + y + z = 25 y+z= 18 Z= 7

Mathematics

1 answer:

Umnica [9.8K]3 years ago

6 0

Answer:

x=7

y=11

z=7

Step-by-step explanation:

x + y + z = 25

y+z= 18

Z= 7

Substitute the third equation into the second

y+z=18

y+7 = 18

y = 18-7

y = 11

Now substitute y=11 and z=7 into the first

x +y+z = 25

x+11+7 = 25

x+18 = 25

x = 25-18

x=7

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In the Health ABC Study, 543 subjects owned a pet and 1977 subjects did not. Among the pet owners, there were 293 women; 975 of

True [87]

Answer:

The proportion of pet owners who were women is 0.540.

The proportion of non-pet owners who were women is 0.493.

Step-by-step explanation:

The data provided is summarized in the table below.

Pet Owners Non-Pet Owners TOTAL

Men 250 1002 1252

Women 293 975 1268

TOTAL 543 1977 2520

Denote the events as follows:

W = a subject is a women

P = a subject is a pet owner

The probability of an event, say E, is defined as the ration of the favorable outcomes of E to the the total number of outcomes of the experiment.

P (E) = n (E) ÷ N

Here,

n (E) = favorable outcome

N = total number of outcomes

(1)

The conditional probability of an event B given that another events A has already occurred is:

P (B | A) = n (A ∩ B) ÷ n (A)

Compute the probability of a pet owner being a women as follows:

P (W | P) = n (W ∩ P) ÷ n (P)

= 975 ÷ 1977

= 0.5396

≈ 0.540

Thus, the proportion of pet owners who were women is 0.540.

(2)

Compute the probability of a non-pet owner being a women as follows:

P (W | P') = n (W ∩ P') ÷ n (P')

= 293 ÷ 543

= 0.4932

≈ 0.493

Thus, the proportion of non-pet owners who were women is 0.493.

8 0

3 years ago

How do i do this problem i am stuck on it please help me

Alex_Xolod [135]

Answer:

What is the question????

7 0

3 years ago

What is the magnitude (size) of 3.7?

Pavel [41]

Answer:

Step-by-step explanation:

|3.7| = 3.7

3 0

3 years ago

Please help I have the answers I just need the work and steps pls!!!

Aneli [31]

Answer:

15 cubes can fit

Step-by-step explanation:

1/4 per cube. 1 1/4 cm long

5 cubes across.

3 cubes in height

5 across times 3 = 15

6 0

3 years ago

Can someone please fix the incorrect problems?

blondinia [14]

First question: Answer is D

∵ Area of rectangle is L ⋅ W = 12 ⋅ 6 = 72 $ft^{2}$

∵ Area of the shaded region is 36 $ft^{2}$

∴ The area of the unshaded region =

the area of the whole rectangle - the shaded region =

72 - 36 = 36 $ft^{2}$

∴ The area of the unshaded region = 36 $ft^{2}$

Second question: Answer is A

∵ Area of triangle is $\frac{1}{2}$ Bh =

$\frac{1}{2}$ ⋅ x ⋅ 4 = 32 $ft^{2}$

∵ Height (h) = 4 ft

∴ Base (B) = $\frac{32}{4}$ ⋅ 2 = 8 ⋅ 2 = 16

∴ Base (B) = 16 ft

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6.009 = 6 + 0.009

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104.0032 = One hundred four and thirty-two ten-thousandths

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∵ Perimeter of rectangle = 2(W+L) =

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∴ He needs 400 $ft^{2}$ of fencing

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4 years ago