All categories

3 years ago

Draw the graph of the equation x+y=5

Mathematics

1 answer:

Advocard [28]3 years ago

7 0

well first you have to get x and y on separate sides so subtract x by both sides to put x on the right side.

now you have y = 5 - x

to graph that let's throw in some numbers for x and y and make a function table

x, y

1, 4

2, 3

3, 2

4, 1

5, 0

6, -1

and so forth

as you can see as x increases in value, y decreases in value

all you have to do now is plot those points on a graph

You might be interested in

2 Points Select the expression that is equivalent to (x-7).

Vera_Pavlovna [14]

An expression equivalent is the

8 0

3 years ago

in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16

yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

Let $\bar X$ = sample mean height

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height = 69 inches

$\sigma$ = population standard deviation = 2.8 inches

n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P( $\bar X$ < 68 inches)

P( $\bar X$ < 68 inches) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{68-69}{\frac{2.8}{\sqrt{16} } }$ ) = P(Z < -1.43) = 1 - P(Z $\leq$ 1.43)

= 1 - 0.9236 = 0.0764

Now, in the z table the P(Z x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0

4 years ago

1/4of what equals 31?

kkurt [141]

Answer:

they and we would be 124

Step-by-step explanation:

124÷4=31

7 0

3 years ago

Read 2 more answers

I'LL GIVE BRAINLIST TO THOSE WHO WILL ANSWER IT CORRECT.

EleoNora [17]

Answer:

28 cm²

Step-by-step explanation:

Refer to attached

Let the half/side of the square be a and the difference of the point in the middle be x and y respectively

Each shape is the sum of 2 triangles, which have a base of a

The area to be found is A

We will show the area of each four shapes as:

a(a-x) + a(a-y) = 16*2 ⇒ (1)
a(a-x) + a(a+y) = 20*2 ⇒ (2)
a(a+y) + a(a+x) = 32*2 ⇒ (3)
a(a-y) + a(a+x) = A*2 ⇒ (4)

Now comparing the expressions:

(2) – (1) = a(a + y -a + y) = 2ay = 8 ⇒ ay = 4
(3) – (2) = a(a + x - a + x ) = 2ax = 24 ⇒ ax = 12
(1) + (3) ⇒ 4a² = 96 ⇒ a² = 24

Using the values we got, finding the area A:

(4) ⇒ 2A = 2a^2 - ay + ax = 48 - 4 + 12 = 56
A = 56/2 = 28 cm²

6 0

3 years ago

F(x)=-3+3/4x^3 f(4/3)

PSYCHO15rus [73]

Please find attached photograph for your answer

6 0

3 years ago