500 children ages 5-11 were asked the following question:
"Do you read books for fun every day?"
Results are shown in the two-way table below.
Boy Girl Total
Yes 48 75 123
No 182 195 377
Total 230 270 500
What are proportions?A proportion is the number of desired outcomes divided by the number of total outcomes.
a. Proportion of children that are boys.There are 500 children and 230 are boys.
230/500 = 0.46
b. Proportion of boys who read books for fun every day.There are 230 boys and 48 read books for fun every day.
48/230 = 0.21
c. Proportion of girls who read books for fun every day.There are 270 girls and 75 read books for fun every day.
75/270 = 0.28
d. Does the likelihood of reading books for fun depend on the gender of a child?Based on the results from b and c, it would seem more likely for a girl to read books for fun than for a boy.
e. For a child selected at random, what is the probability that the child reads books for fun?There are 500 children and 123 read books for fun.
P = 123/500 = 0.25
f. For a child selected at random, what is the probability that the child is a girl and reads books for fun?There are 500 children and 75 are girls who read books for fun.
P = 75/500 = 0.15
g. For a child selected at random, what is the probability that the child is a girl or reads books for fun?There are 500 children. The favorable cases are the girls (270) plus the children who read books for fun (123) minus the girls who read books for fun (75).
P = (270 + 123 - 75)/500 = 0.64
h. For a child selected at random, what is the probability that the child reads books for fun given that the child is a girl.There are 270 girls and 75 of them read books for fun.
P = 75/270 = 0.28
a. The proportion of children who are boys is 0.46.b. The proportion of boys who read books for fun every day is 0.21.c. The proportion of girls who read books for fun every day is 0.28.d. It would seem more likely for a girl to read books for fun than for a boy.e. For a child selected at random, the probability that the child reads books for fun is 0.25.f. For a child selected at random, the probability that the child is a girl and reads books for fun is 0.15.g. For a child selected at random, the probability that the child is a girl or reads books for fun is 0.64.h. For a child selected at random, the probability that the child reads books for fun given that the child is a girl is 0.28.Learn more about proportions here: https://brainly.com/question/25259185
if 1/2x + 6 = -x -3, what is the value of -2x?
Answer:
12
Step-by-step explanation:
Hi there!
We are given the following equation:
1/2x + 6 = -x-3
And we want to find the value of -2x
First, let's solve for x, and then substitute the number found as x into -2x to find the value of -2x
Start by adding x to both sides to remove -x from the right side
1/2x + 6 = -x -3
+x +x
_______________
3/2x+6=-3
Subtract 6 from both sides to remove it from the left side
3/2x=-9
Multiply both sides by 2/3 in order to clear the fraction
x=-6
Now substitute -6 as x into -2x
-2x
x=-6
-2(-6)=12
Hope this helps!
Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round two places past the decimal
Answer:
$199.89
Step-by-step explanation:
The bike costs 266.52
The parents are contributing one fourth of this (1/4)
We need to find 1/4th of 266.52
Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike
The answer is 66.63
Now subtract 66.63 from 266.52
Justin has to pay a total of 199.89
A parabola having its axis vertical passes through three points A(0,0), B(1,0), and C(5,-20) respectively. Determine the coordinates of the vertex of the parabola.
Answer:
(1/2, 1/4)
Step-by-step explanation:
This is gonna be long. The x coordinate of a parabola's vertex = -b/2a. Now we have to find the equation of the parabola. Using the given points and plugging them into y=ax^2 + bx + c, we can determine:
0 = c
0 = a + b
-20 = 25a + 5b
After rearranging and solving, we get:
b = -a
-20 = 20a
a = -1
b = 1
y = -x^2 + x
Now we can find the x coordinate of the vertex, which is 1/2. After plugging this into our parabola, we get a y coordinate of -1/4 + 1/2 = 1/4. Therefore, the vertex is located at (1/2, 1/4).
Can anyone help me with this one asap? Thanks in advance.
The answer to your question is in the image above.
If $20,000 is invested at 7% for 15 years, find the future value if the interest is compounded daily(365 days)
Answer:
The total compound interest is $37,147.24.
Step-by-step explanation:
I could be wrong
There are 150 buttons in a box.
24 children take 3 buttons each.
How many buttons are left in the box?
Show your method.
Answer:
78 buttons left
Step-by-step explanation:
I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.
Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)
Simplify the linear expression.
−5/3a+1/8−1/6a−1/2
Enter your answer as simplified fractions in the boxes.
PLEASE HELP
Graph the solution of the inequality 3x+7>13
[tex]3x+7 > 13\implies 3x>6\implies x > \cfrac{6}{3}\implies x > 2[/tex]
Check the picture below, notice the line at x = 2 is dashed, or namely it doesn't include that value, because "x greater than 2" means 2.1, 2.2, 2.0001, 2.0000001 anything above but never 2.
pls helpppppp i begggg
Answer
x Is less than 4
Step-by-step explanation:
It will be an open circle and the arrow is going the left direction on the number 4
(x-4)2 = 36
Which of the following expressions represents the solutions to the given equation?
0-4+ V(36)
O4 + V(36)
16+ (36)
A patio measures 4 yd long and 3 yd wide. What is the area in square meters? Round final answer to two decimal places
Answer:
Step-by-step explanation:
1 yd(36 in/yd)(2.54 cm/in) / (100cm/m) = 0.9144 m
(4(0.9144)) x (3(0.9144)) = 10.03352832 = 10.03 m²
dear and kind community I have a question that urges me which is the following, let's imagine that there are 73 million coins that can be fractioned to a hexadecimal value of a minimum unit of 0.00000001 and would need 0.99999998 to reach a full unit of the coin 1, my question is what would happen if instead of this minimum hexadecimal number of coin 0.00000001 was a hundred 100=1? how many coins would exist if before it was 73 million with hexadecimals (0,00000001) now with a hundred it would be equivalent to one unit (1=100) how many coin units would there be? if now each unit would only be divided in hundreds and not in hexadecimals? thanks in advance to the one who responds.
Answer:
that have no answer so sorry
A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving?
Answer:
0.24 liters per serving (240 ml)
Step-by-step explanation:
[tex]1.92/8=0.24[/tex]
equivalent to 240 mililiters
Hope this helps
Two bike messengers, Jerry and Susan, ride in opposite directions. If Jerry rides at the rate of 20 km/h, at what rate must Susan ride if they are 150 kilometres apart in 5 hours? With chart
Answer:
10km/h
Step-by-step explanation:
speed = distance/time
s = 150/5
s = 30km/h
the total must be 30km/hr
less the 20km/hr that Jerry is going
is the speed Susan must go in the opposite direction
30 - 20 = 10
10km/h
which option is correct?
Answer:
Option D
Step-by-step explanation:
It is a right triangle because AB ⊥ BC
The graph of linear function fpasses through the point (1, -8) and has a slope of 2.
What is the zero of f?
-5
2
5
-2
Answer:
5
Step-by-step explanation:
set up point slope form
y + 8 = 2(x-1)
set y to zero
0+8=2(x-1)
8=2x-2
10= 2x
x = 5
Question 2 of 33
Which of the following is equivalent to the expression below when x20?
VP+ √25x² – 5xfx
O A. 11x/
В. xx
C. 1268- 5x
D. 67-5xxx
SUBMIT
What is the equation of this line?
Answer:
y = x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-0}{1-0}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then
y = x ← equation of line
Louis is comparing the populations of several nearby cities. The population of Liberty Crossing can be written as 49 people, and the population of Harrisburg can be written as 47 people. The population of Glenview is 43 times the population of Harrisburg. Drag the cities to put them in order from least population (top) to greatest population (bottom).
Step-by-step explanation:
Louis is comparing the populations of several nearby cities. The population of Liberty Crossing can be written as 49 people, and the population of Harrisburg can be written as 47 people. The population of Glenview is 43 times the population of Harrisburg. Drag the cities to put them in order from least population (top) to greatest population (bottom).
The order of the cities from least population to greatest population:
Harrisburg
Glenview
Liberty Crossing
Given the information provided:
Harrisburg: This city has a population of 47 people. It's the smallest population among the three cities.
Glenview: The population of Glenview is 43 times the population of Harrisburg.
Since Harrisburg has 47 people, the population of Glenview would be 43 x 47 = 2021 people.
So, Glenview has a larger population than Harrisburg but is still smaller than Liberty Crossing.
Liberty Crossing: The population of Liberty Crossing is given as 49 people, which is the largest population among the three cities.
So, the correct order from least population to greatest population is:
Harrisburg
Glenview
Liberty Crossing
Learn more about Ascending order click;
https://brainly.com/question/31946606
#SPJ3
Fast indeed help on this !! ( ty )
Answer:
32
Step-by-step explanation:
First, draw some line for about 4 lines in the double number line.
Now in the bottom, it counts by 15 according to the word problem.
And in the top, count by 8.
Now finally, if you reach 60, write your final number. 32.
woohoo you did it lol
i really need some help with these!
I NEED HELP ASAP PLEASE HELP! AT BATTING PRACTICE TJ HAD 20 BASEBALLS PITCHED TO HIM HIT HIT THE BALL 7 TIMES! WHAT PERCENT OF THE BALLS DID TJ HIT?
HELP!!!! What are the domain and range of the exponential growth function
a . Domain x>-3; Range: All real numbers.
b . Domain: All real numbers; Range: All real numbers.
c . Domain: x>-3; Range: y> -3
d . Domain: All real numbers; Range: y>-3
Step-by-step explanation:
D is the right answer.
remember, the domain is the interval or set of all valid values of x (the input variable). that means the values from left to right. there is no limitation visible. especially not around x = -3.
the range is the interval or set of valid values of y (the result variable). that means the values from bottom to top. and here we see, that the function never goes below y=-3.
these 2 facts make D the right answer.
scientific form of 47500000000
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Scientific notation for above value is ~
[tex]4.75 \times 10 {}^{10} [/tex][tex]Hello[/tex] [tex]There![/tex]
First, let's make sure our coefficient is between 1 and 10:
4.75
All numbers in scientific notation look like this:
___x10^- (some number)
4.75x10^
Now, the number is large, so the exponent is positive.
So we move the decimal place some number of units. We move the decimal place 10 units, so the exponent is 10:
4.75x10^10
Hope this helps!
~Just a felicitous girlie
#CarryOnLearning
[tex]SilentNature[/tex]
Look at picture for question.
Answer:
A) - 3/7
B) -1/5
C) - 0.4
Step-by-step explanation:
HOPE IT CAN HELP YOU LOVELOTS
Point J(-3, -7) was rotated to J'(7, -3). How
many degrees was the rotation?
Answer:
90 clockwise
Step-by-step explanation:
Answer:
270 degrees
Step-by-step explanation:
If both numbers are negative it means its in the lower left quadrant, so to reach 7 and -3, that means we need to reach the lower right quadrant so a 270 degree turn works
find the perimeter of the triangular shaped sandwich
Answer:
P = 12 + 5x
Step-by-step explanation:
P = a + b + c
P = 7 + (x + 4) + (4x + 1)
= 7 + x + 4 + 4x + 1
= 12 + 5x
so, she was making $9/hr, then she's da bomb so she got a raise of 150%.
making 150% over that amount means more than that amount, so her raise was 150%, congrats to Maria.
if we take 9 to be the 100%, then adding 150% to that will be 100% + 150% = 250%.
In type 1 diabetes, the immune system attacks certain cells in the pancreas.
Question 2 options:
True
False
Answer:
True
Step-by-step explanation:
The person's immune system specifically targets beta cells disrupting the production of insulin.
Select the Ordered Pair which is a solution to the linear graph.
(8, 6)
(−8,−6)
(−8, 6)
Review the linear graph.
Answer:
point B (8, 6)
Step-by-step explanation:
Given the linear graph of a vertical line, x = 8:
The solution to the given linear equation is any ordered pair that is found along the line of the graph.
Out of the given options, point B, (8, 6) is located on the line. Therefore, it is one of the solutions to the linear equation, x = 8.