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
Write 12 as a product of primes. Use index notation when giving your answer
or
[tex]12 = {2}^{2} \times 3[/tex]- BRAINLIEST answerer
. At a certain airport, 75% of the flights arrive on time. A sample of 10 flights is studied. a. Find the probability that all 10 of the flights were on time.
Answer:
0.5256
Step-by-step explanation:
X ~ B(10,0.75)
q = 1 - 0.75 = 0.25
Please help! Asap.
I suck at this.
I need to find y
Answer:
y° = 25°
Step-by-step explanation:
Given the diagram of a triangle, where it shows an exterior angle with a measure of ∠115°, and that an angle bisector bisects the triangle into two right triangles.
According to the Exterior Angle Theorem, the measure of the exterior angle is equal to the sum of the measures of two non-adjacent interior angles. In other words, the given exterior angle, m∠115° is equal to m∠y° + m∠90°.
Solve for y:Hence, we could simply solve for the value of y algebraically:
m∠y° + m∠90° = m∠115°
y° + 90° = 115°
Subtract 90° from both sides:
y° + 90° - 90° = 115° - 90°
y° = 25°
Double-check:Verify whether we have the correct value for y by solving for x:
Since the exterior angle, ∠115°, and ∠x° are supplements, then it means that:
m∠115° + m∠x° = 180°
115° + x° = 180°
Subtract 115° from both sides:
115°- 115° + x° = 180° - 115°
x = 65°
According to the Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180°.
Hence:
m∠x° + m∠y° + m∠90° = 180°
65° + 25° + 90° = 180°
180° = 180° (True statement).
Therefore, the correct answer is: y = 25°. This measure represents either one of the ∠y.
identify the pair of similar triangles in each of the groups of triangle below
Answer:
its triangle ABC and XYZ
Step-by-step explanation:
factorize
1) x²-4y²
2) 27-8y³
you cant factorise both of them as they have nothing in common
What ordered pair describes the location of point A?
Enter your answer by filling in the boxes.
HELP ASAP
A 44-foot long wire will be attached to the top of a
pole for support, and will be pulled tight and
anchored to the ground. If the wire makes a 13
degree angle with the ground, how tall is the pole?
Round your answer to the nearest hundredth of a
foot
Answer:
Step-by-step explanation:
h = 44sin13 = 9.89784... = 9.90 ft
The table below shows the number of classes offered at a fine arts school in New York.
Art: 45
Dance: 30
Music: 40
Theater: 35
What part-to-whole ratio represents the number of music classes offered at the school?
Answer:
40:140
Step-by-step explanation:
The explanation.is in the diagram above
kyle has two snakes fluffy is 2 meters long muffy is 900 millimeters long compare their lengths to fill in the blanks
_____ is the longest snake.
_____ is ______
millimeters longer than ____
PLSS HELP!!
Answer:
fluffy is the longest snake.
muffy is 900 millimeters longer than fluffy
Step-by-step explanation:
PA BRAINLIEST
HOPE ITS HELP
GOD BLESS
i really need some help with these!
Can someone help with question #3
Answer:
y = –12x –300 that will help you
Write the equation of the line passing through the points (9,2 ) and (-3, -2)
Answer:
[tex]y=\frac{1}{3} x-1.[/tex]
Step-by-step explanation:
if A(9;2), B(-3;-2) then it is possible to make up the required equation according to the form:
[tex]1. \ \frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}[/tex]
2. after the substitutuion X(A)=9; X(B)=-3; Y(A)=2 and Y(B)=-2 into the form:
[tex]\frac{x+3}{9+3} =\frac{y+2}{2+2}; \ => \frac{x+3}{12} =\frac{y+2}{4}; \ => \frac{x+3}{3} =y+2.[/tex]
or in slope-interception form:
[tex]y=\frac{1}{3} x-1.[/tex]
Given log 102 = 0.3010 and log 103= 0.4771, find log 1049 without using a calculator.
Bearing in mind that when the base is omitted, base 10 is assumed, or namely log(x) = log₁₀(x).
[tex]\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\log_{10}(2)=0.3010\qquad \qquad \log_{10}(3)=0.4771 \\\\[-0.35em] ~\dotfill\\\\ \log_{10}\left( \cfrac{4}{9} \right)\implies \log\left( \cfrac{4}{9} \right)\implies \log\left[ \cfrac{2^2}{3^2} \right]\implies \log\left[ \left( \cfrac{2}{3} \right)^2 \right]\implies 2\log\left[ \cfrac{2}{3}\right] \\\\\\ 2[\log(2)-\log(3)]\implies 2[0.3010~~ - ~~0.4771]\implies -0.3522[/tex]
Integer in algebra
Need help 9th grade
Answer:
4x + 10 >1
-10. -10
4x < -9
Step-by-step explanation:
make sure to make it less than or equal to
Find the lengths of the sides of the triangle formed by the coordinates below. Then classify the triangle by sides.
A(1,1) B (4,1) C (4,5)
AB =
BC =
AC =
Number of congruent sides=
Then classify the triangle
Isosceles, scalene or equilateral
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]
[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]
well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.
does 17/10 and 12/5 form a proportion?
Answer:
No
Step-by-step explanation:
17/10 is not proportional to 12/5. Proportional relationships are relationships between two variables where their ratios are equivalent. 17/10 as a ratio is 17:10 and 12/5 as a ratio would be 12:5. A proportional relationship for 12/5 would be 24/10.
Hope this helps :)
No, 17/10 and 12/5 do not form a proportion.
What is a proportion?A proportion is an equation that sets two ratios at the same value.
We have two fractions,
17/10 and 12/5.
That means,
17/10 = 1.7
And 12/5 = 2.4
And 1.7 is not equals to 2.4.
So, the fraction does not show the proportional relationship.
Therefore, the fraction does not show the proportional relationship.
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6 short questions 50 POINTS
Answer:
KN be better
sons of if his
maria has a share of 2/10 slice of cake what is the difficult form of the fraction
A. 0.02
B.0.2
C.0.002
D.0.20
~fractions
= 2 ÷ 10
= B. 0,2 ✔️
the method is attached
~ nice to help you ^^
2logx= log 16 + log 4 find the value of x
Step-by-step explanation:
the rules of logarithm.
log(a×b) = log(a) + log(b)
log(a^b) = b×log(a)
2×log(x) = log(16) + log(4)
now, using the above knowledge :
log(x²) = log(16×4)
=>
x² = 16×4 = 64
x = ±8
and since a logarithm of a negative number is undefined the only plausible solution is
x = 8
Find The nth Term of this number sequence
18, 16, 14, 12
a = 18
d = 16 - 18 = -2
an = a + (n - 1) × d
an = 18 + (n - 1) × (-2)
an = 18 - 2n + 2
an = -2n + 20
WILL GIVE YOU BRILLIANT
State whether the graph of the linear relationship is a solid line or a set of unconnected points. Complete the explanation of your reasoning. The relationship between the number of $5 lunches you buy with a $145 school lunch card and the money remaining on the card because you select ) The relationship is a select ) buy a (select
Answer:
The relationship will be a solid line.
Step-by-step explanation:
The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.
The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.
Let the number of lunches you buy be = x
Let the amount remaining in the card be = y
So, equation forms:
When you buy 1 lunch, or x = 1
When x = 2
When x = 3
We can see that the decrease is gradual and same.
You can also see the graph attached that a straight line is formed.
determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent
Answer:
4. We don't know if they're right triangles
Step-by-step explanation:
If you could assume that the triangles are right triangles, then you would be able to prove congruency with HL. In this case however, the angles are not given so you can't assume anything.
The mileage on Ori's car is 73,033 miles. What is the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again?
The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that the mileage on Ori's car is 73,033 miles.
We need to find the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again.
Therefore, the mileage on Ori's car = 73,033 miles.
identical digits = 40
The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.
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.Sort the numbers based on the number of significant figures they have.
Drag each tile to the correct location.
1,230
155.6
200
1,245
8.88
22
136
8.880
0.01
20
20.
Let's check the significant figures one by one
[tex]\\ \sf\longmapsto 1,230=3[/tex]
[tex]\\ \sf\longmapsto 155.6=4[/tex]
[tex]\\ \sf\longmapsto 200=1[/tex]
[tex]\\ \sf\longmapsto 1245=4[/tex]
[tex]\\ \sf\longmapsto 8.88=3[/tex]
[tex]\\ \sf\longmapsto 22=2[/tex]
[tex]\\ \sf\longmapsto 136=3[/tex]
[tex]\\ \sf\longmapsto 8.880=3[/tex]
[tex]\\ \sf\longmapsto 0.01=1[/tex]
[tex]\\ \sf\longmapsto 20=1[/tex]
One Significant figure - 200, 0.01, 20
Two Significant figures- 22, 20.
Three Significant figures- 1,230, 8.88, 136
Four Significant figures- 155.6, 1,245, 8.880
PLATO
can find anything to answer this
Answer:
where?
Step-by-step explanation:
maybe I can help to your question
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me
LM bisects
KL = LN
m
m
m
Answer:
Only one must be true
Step-by-step explanation:
Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35 find the cost of the tie
Using linear system of equations, the cost tie is £7.43.
Linear equations -In everyday life, we can utilize linear equations to compare prices, make predictions, create budgets, and more. When all of the variables have a highest power of one, an equation is considered to be linear. Each variable is reliant on the others. A one-degree equation is another name for this kind of equation. Continue reading to learn how to solve a linear equation in one or two variables using its standard form, formula, graph, and rules.
Given,
Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35,
According to question,
let cost of shirt = x
cost of tie = y
Now putting it in the equation,
13x + 22y = 363.01
given x = 15.35
⇒ y = 363.01 - 13(15.35) / 22
y = 363.01 - 199.55 / 22
y = 7.43
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A six sided die is tossed. Determine the odds against rolling a 3.
The odds are :
Answer:
1/6 because 3 is one of the sides of the 6
The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.
The total number of possible outcomes is 6, since there are six sides on the die.
Therefore, the odds against rolling a 3 are:
5:1
This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:
P(not rolling a 3) = 5/6
Alternatively, the probability of rolling a 3 is 1/6, so we can also say:
P(rolling a 3) = 1/6
And the probability of not rolling a 3 is:
P(not rolling a 3) = 1 - P(rolling a 3)
= 1 - 1/6
= 5/6
Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6
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A car was valued at 380,000 in the year 2014. By 2019, the value had depreciated to 110,000. If the cars value continues to drop by the same percentage,what will it be worth by 2017?
Please help thanks and Godbless
Answer:
160000
Step-by-step explanation: