All categories

4 years ago

Could you add the two shapes below to your diagram in problem 4? If so, where

Mathematics

1 answer:

Andre45 [30]4 years ago

3 0

Answer:

None

Step-by-step explanation:

You have not given us a picture or problem four.

You might be interested in

Can anyone help me with this <br><br> All of them

Svetllana [295]

Answer:

Hence x = 60 and y = 50

e = 85 degrees

f = 158 degrees

Step-by-step explanation:

1) The sum of the interiror angle of the triangle is equal to the exterior

Given

Interior angles = y and 70

Exterior angle = 120 degrees

According to the law;

y + 70 = 120

y = 120-70

y = 50°

Sum of angle in the triangle is 180

x + y + 70 = 180

x + 50 + 70 = 180

x + 120 = 180

x = 180-120

x = 60

Hence x = 60 and y = 50

2) The sum of angles on a straight line is 180 degrees

40 + 55 + e = 180

95 + e = 180

e = 180 - 95

x = 85 degrees

3) Sum of angle at a point is 360 degrees

Hence 130 + 36.8 + 35.2 + f= 360

130 + 72 + f = 360

202 + f = 360

f = 360 - 202

f = 158 degrees

4 0

3 years ago

The perimeter of the rectangle below is 90 units. find the length of side vy . write your answer without variables.

Salsk061 [2.6K]

The picture in the attached figure

we know that
perimeter of a rectangle=2*[base+height]
base=3y+1
height=2y+3
perimeter=90 units
so
90=2*[(3y+1)+(2y+3)]-----> 90=2*[5y+4]----> 10y+8=90----> y=8.2 units

base=3y+1-----> base=3*8.2+1-----> 25.6 units
height=2y+3----> height= 2*8.2+3---> 19.4 units

the answer is
<span>the length of side vy is (2y+3)-----> 19.4 units</span>

3 0

3 years ago

Write an equation of a line that passes through the point (3,2) and is parallel to the line y=3x-4

disa [49]

Parallel lines should have the same slope. Therefore, you know which point it passes through and the slope. Plug in the points and slop into slope-intercept form to find b. Please refer to the picture.

8 0

3 years ago

Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening

Finger [1]

Answer:

A) Alternative hypothesis; Ha: p_o > ⅔

B) Null hypothesis;

H0: p_o = ⅔

C) There is sufficient evidence to support the claim that the community screening programme was effective

D) p-value = 0

Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective

Step-by-step explanation:

A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.

Thus, the null hypothesis is;

H0: p_o = ⅔

We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;

Ha: p_o > ⅔

B) null hypothesis is;

H0: p_o = ⅔

C) 164 out of the 200 women selected survived the disease.

Thus sample proportion is;

p^ = 164/200

p^ = 0.82

For the z-score value, we will use the formula;

z = (p^ - p_o)/√((p_o(1 - p_o)/n)

Now, p_o = ⅔ = 0.67

Thus;

z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)

z = 4.51

From online p-value from z-score calculator, we have p-value ≈ 0

This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.

D) p-value ≈ 0

Reject the null hypothesis

4 0

3 years ago

Nina has some nickels and 9 pennies in her pocket. Her friend, Maurice has twice as many nickels as Nina. Together these coins a

algol13

So Maurice would have 2N nickels

Total number of coins is N + 2N + 9 = 3N + 9

Each nickel is 5 pennies

3N of nickels = 15N pennies

-----------

Their worth is 84 cents

15N + 9 = 84

15N = 75

N = 75/15 = 5

N = 5

This means Nina has 5 nickels.

4 0

4 years ago