0.2(x + 15) = 0.5(3x

Approximately 52% of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls

Leni [432]

Answer:

Option A is right

Step-by-step explanation:

Given that approximately 52% of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls. The most likely explanation for the difference between the observed results and the expected results in this case is

A) variability due to sampling

-- True because there is a slight difference whichmay be due to sampling fluctuations.

B) bias

False because given that 100 random births selected

C) nonsampling error

False. There is no chance for systematic error here.

d) Confounding: There is no confounding variable present inchild birth since each is independent of the other

e) a sampling frame that is incomplete

False because the sampling is done correctly.

8 0

2 years ago

Solve for y. -38 = 7v+17 – 12v

iren2701 [21]

Answer:

Step-by-step explanation:

$-38=7v+17-12v\qquad\text{subtract 17 from both sides}\\\\-38-17=7v+17-17-12v\qquad\text{combine like terms}\\\\-55=-5v\qquad\text{divide both sides by (-5)}\\\\\dfrac{-55}{-5}=\dfrac{-5v}{-5}\\\\11=v\to v=11$

6 0

3 years ago

You have two squares. The larger square has a side of 3 more than the smaller square. If the combined area of the two squares is

joja [24]

The length of the SMALLER square is:
B. 5

Basically I tested each answer choice and see if all the information matches it.
Lets check how my answer is correct:
We know that:
The length of the bigger square is 3 more than the smaller square’s length.
The areas of both squares add up to 89 cm^2
length of the SMALLER square is: 5 cm
length of the LARGER square:
5 + 3 = 8 cm

Area of smaller square:
5^2 = 25 cm^2

Area of bigger square:
8^2 = 64 cm^2

ADD UP BOTH AREAS OF SQUARES:
25 + 64 = 89 cm^2

Hope this helps!

3 0

2 years ago

Read 2 more answers

Joanna is driving 185 miles to visit her family. She drives 68 miles in the morning, stops for lunch, and then drives the rest o

Nuetrik [128]

Answer:

68+m=185

m=117

Step-by-step explanation:

68 miles before lunch, plus m miles after lunch is a total of 185 miles. Assuming she reaches her destination. That creates the equation 68+m=185

Then, to figure out the miles she travels after lunch we solve for m:

do this by subtracting 68 from both sides. This leaves us with: m=117

5 0

3 years ago

Find the perimeter and the area of the figure.

Gwar [14]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

the given figure is a composition of a rectangle as well as a right angled triangle !

we've been given the two sides of the rectangle and we're required to find out the height of the triangle , so as to find it's area ~

we know the the opposite sides of a rectangle are equal , therefore we can break the longest side ( length = 9.5 cm ) into two parts ! the first part of length = 7 cm which is the length of the rectangle and the rest 2.5 cm ( 9.5 - 7 = 2.5 ) will become the height of the triangle !

<h3>For perimeter of the figure -</h3>

$perimeter \: of \: figure = perimeter \: of \: rectangle + perimeter \: of \: triangle \\ \\$

now ,

perimeter of rectangle = 2 ( l + b )

where ,

l = length

b = breadth

$\longrightarrow \: perimeter = 2(7 + 6) \\ \longrightarrow \: 2(13) \\ \longrightarrow \: 26 \: cm$

and ,

$perimeter \: of \: \triangle = 6.5 + 2.5 + 6 \\ \longrightarrow \: 15 \: cm$

Perimeter of figure in total = 26 cm + 15 cm

thus ,

$\qquad\quad\bold\red{perimeter \: = \: 41 \: cm}$

<h3>For area of the figure -</h3>

$area \: of \: figure = area \: of \: rectangle + area \: of \: rectangle \\$

now ,

area of rectangle = l × b

where ,

l = length

b = breadth

$area \: of \: rectangle = 7 \times 6 \\ \longrightarrow \: 42 \: cm {}^{2}$

and ,

$area \: of\triangle = \frac{1}{2} \times base \times height \\ \\ \longrightarrow \: \frac{1}{\cancel2} \times \cancel6 \times 2.5 \\ \\ \longrightarrow \: 3 \times 2.5 \\ \\ \longrightarrow \: 7.5 \: cm {}^{2}$

Area of figure in total = 42 cm² + 7.5 cm²

thus ,

$\qquad\quad\bold\red{Area \: = \: 49.5 \: cm^{2}}$

hope helpful :)

6 0

1 year ago

Read 2 more answers

0.2(x + 15) = 0.5(3x - 7)