Answer:
5
Step-by-step explanation:
A school in New Zealand collected data about the employment status of the mother and father in two-parent families. The two-way table of column relative frequencies below shows the data.
Father works full time Father works part time Father not working
Mother works full time
0.17
0.170, point, 17
0.14
0.140, point, 14
0.13
0.130, point, 13
Mother works part time
0.23
0.230, point, 23
0.14
0.140, point, 14
0.07
0.070, point, 07
Mother not working
0.60
0.600, point, 60
0.71
0.710, point, 71
0.80
0.800, point, 80
Column total
1.00
1.001, point, 00
1.00
1.001, point, 00
1.00
1.001, point, 00
Based on the data, which of the following statements must be true for the two-parent families at that school?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
A family where the father works part time is twice as likely as a family where the father is not working to have the mother work part time.
(Choice B)
It is most common for neither parent to be working.
(Choice C)
C
Families where the father works full time are more likely to have the mother working full time than part time.
(Choice D)
D
There are twice as many families where the mother works full time and the father works part time as families where the mother works part time and the father doesn't work.
Answer:A
Step-by-step explanation: 14% of the mothers work part-time in families where the father works part-time while 7% of the mothers work part-time in families where the father is not working.
Probabilities are used to determine how likely or unlikely an event is. From the 2-column table, it is twice as likely to get a family where the father and the mother work part-time than a family where the father doesn't work, and the mother works part-time.
We use the following representation:
[tex]FF \to[/tex] Father works full-time
[tex]FP \to[/tex] Father works part-time
[tex]FW \to[/tex] Father not working
[tex]MF \to[/tex] Mother works full-time
[tex]MP \to[/tex] Mother works part-time
[tex]MW \to[/tex] Mother not working
Next, we test each of the 4 options, till one of the options is true (see attachment)
Choice A:
The claim in choice A is that:
[tex]P(FP\ and\ MP) = 2 \times P(FW\ and\ MP)[/tex]
From the given table, we have:
[tex]P(FP\ and\ MP) = 0.14[/tex] ---- father works part-time and mother works part-time
[tex]P(FW\ and\ MP) =0.07[/tex] ---- father not working and mother works part-time
Put the above values in the following equation
[tex]P(FP\ and\ MP) = 2 \times P(FW\ and\ MP)[/tex]
[tex]0.14 = 2 \times 0.07[/tex]
[tex]0.14 = 0.14[/tex]
The above equation is true.
Hence, choice (A) is true
Read more about probabilities at:
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Which of the following is a solution to this inequality? Y<2/3x+2
(0,3)
(-3,1)
(3,5)
(1,2)
Answer:
(1,2)
Step-by-step explanation:
I graphed the inequality on the graph below and found which answer was a solution.
If this answer is correct, please make me Brainliest!
If Marc ran 10 miles in 3 hours, how far can he run in 6 hours?
Answer: 20 miles
Step-by-step explanation: if he runs 10 miles in 3 hours then double the amount of 10 which is 20 because 3 multiplied by 2 equals 6
PLEASE HELP
Results of a blood test are normally distributed with a mean of 6.2 and a standard deviation of 1.5. What is the probability that a patient has a blood test result less than or equal to 8.3?
Answer:
91.92%
Step-by-step explanation:
Given that:
Mean (μ) = 6.2, standard deviation (σ) = 1.5
Z score is a measure in statistics to determine the relationship of a measured value with the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate the probability that a patient has a blood test result less than or equal to 8.3, we need to calculate the z score of 8.3
For x = 8.3, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{8.3-6.2}{1.5} =1.4[/tex]
From the probability distribution table:
P( x ≤ 8.3) = P(z < 1.4) = 0.9192 = 91.92%
In regular polygons, if the number of sides, n, is off, the lines of symmetry will pass through a __________ and the __________ of the opposite side.
Answer:
In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.
Step-by-step explanation:
This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.
Eric, Cam, and Brooke are playing a game of mini golf on a computer. The computer program for the game stores
objects in terms of x and y coordinates. All coordinate values are in meters.
The players are shooting at the hole, which is located at (3,2). After hitting their initial shots, Eric's golf ball is at
(-6,6), Cam's golf ball is at (8,-6), and Brooke's golf ball is at (10,8).
If the player whose ball is farthest from the hole should shoot next, which player should shoot next?
Answer:
Eric
Step-by-step explanation:
First, we determine the distance of each player to the hole using the distance formula.
Given points [tex](x_1,y_1)$ and (x_2,y_2)[/tex]
Distance[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Eric
The hole is at (3,2)
Eric's golf ball is at point (-6,6)
Distance=[tex]\sqrt{(-6-3)^2+(6-2)^2}[/tex]
[tex]=\sqrt{(-9)^2+(4)^2}\\=\sqrt{97} \\\approx 9.85[/tex]
Cam
The hole is at (3,2)
Cam's golf ball is at point (8,-6)
Distance=[tex]\sqrt{(8-3)^2+(-6-2)^2}[/tex]
[tex]=\sqrt{(5)^2+(-8)^2}\\=\sqrt{89} \approx9.43[/tex]
Brooke
The hole is at (3,2)
Brooke's golf ball is at point (10,8)
[tex]Distance=\sqrt{(10-3)^2+(8-2)^2}\\=\sqrt{(7)^2+(6)^2}\\=\sqrt{85} \approx 9.22[/tex]
Since Eric's ball is the farthest from the hole, Eric should shoot next.
Answer: Erick
Step-by-step explanation: 9.85
Which of the following properly describe “slope”?
Answer:
#3 1/2
Step-by-step explanation:
if you start where the line and the boxes in the graph line up like at (0,-2) and then you go up 1 and right 2 the line will be there again line up with the boxes and since slope is rise/run it is 1/2
what is 50300000 in standard form
Answer:
the answer is attached in the picture
Can I get an example of systems of equations that represent the solution of this situation below? Thank you! ^ ^
"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito)
Answer:
1x+ 1y =11
10x + 5y = 80
x = the cost of a taco = $5
y = the cost of a burrito = $6
Step-by-step explanation:
x = the cost of a taco
y = the cost of a burrito
1x+ 1y =11
10x + 5y = 80
rearange 1st equation as y = 11 -x and plug in into the 2nd one for y:
10x + 5( 11-x) = 80 distribute left side
10x + 55 - 5x = 80 combine like terms
10x - 5x = 5x
5x + 55 = 80 subtract 55 from both sides
5x = 80 - 55
5x = 25 divide by 5
x = 5
plug in for y in 1st equation y = 11--x =11-5 = 6
Find the range of the data in the box plot below.
Answer:
Range: 20
General Formulas and Concepts:
Statistics
Range - the difference between the highest and lowest pointStep-by-step explanation:
Step 1: Define
Find values from box-and-whisker plot.
Highest point recorded = 25
Lowest point recorded = 5
Step 2: Find Range
Set up: 25 - 5Subtract: 20When multiplying or dividing a negative by a negative what will the result be
Answer:
A positive number
Step-by-step explanation:
HELP QUICK!! 25 POINTS AND BRAINLIEST!!! Circle P has a circumference of approximately 65 inches.
What is the approximate length of the radius, r? Use 3.14 for π. Round to the nearest tenths.
A. 15.4
B. 10.4
C. 35
D. 32.5
Answer:
10.35
Step-by-step explanation:
c=2[tex]\pi[/tex]r
65=2(3.14)?
Answer:
B. 10.4
Step-by-step explanation:
The formula for the circumference is: 2πr
2πr≈65
Divide both sides by 2
πr=32.5
Divide both sides by π
r≈10.34
The answer that makes most sense is B. 10.4
The..... , ....... and.....of three-dimensional figures can be measured.
A. Weight
B. width
C. altitude
D. length
E. height
The length, width, and height of three-dimensional figures can be measured.
What is the volume of a Cuboid?A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The volume of a cuboid is the product of its length , width and height
The volume of the cuboid is given by
Volume of Cuboid = Length x Width x Height
Given data ,
Let the length of the cuboid be = L
Let the width of the cuboid be = W
Let the height of the cuboid be = H
Now , length, width, and height of three-dimensional figures can be measured.
Therefore, the correct options are D. length, E. height, and B. width.
Option A. weight refers to the force exerted on an object due to gravity, and option C. altitude refers to the height above sea level.
Hence , the cuboid is a three-dimensional figure
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what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)
Answer:
To find y intercept x should be 0.
And in this.
Y=4x.3x
Y=4*0*3*0
Y=0 answer.
In a group of 50 people 28% of them has flue shots done. What is the probability to choose from this group 15 people that didn't have flue shot.
Answer:
0.0025 = 0.25%
Step-by-step explanation:
First we need to find how many people don't have flue shots.
28% of 50 is equal to 0.28 * 50 = 14 people.
If 14 people have flue shots, we have 50 - 14 = 36 people that don't have flue shots.
Now, to solve this problem, the probability will be the cases where we have a group of people that don't have flue shots (that is, a combination of 36 choose 15) over the total cases (combination of 50 choose 15):
C(36,15) / C(50,15) = (36!/15!*21!) / (50!/15!*35!) = 0.0025 = 0.25%
In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree
Answer:
52.6
Step-by-step explanation:
If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much). To find angle N, we can use trig. We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse. (sin=opposite/hypotenuse). However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator. So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6
I can explain more if you dont understand
Answer:
23
Step-by-step explanation:
1. Write yes or no if its a proportion
2.Write yes or no if its a proportion
3. Equation
Answer:
1. yes
2. yes
3. (3,60)
HALF LIFE The half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning,
how many grams would be left after 7.2 minutes has elapsed?
A: 50.0 grams
B: 100.0 grams
C: 8.5 grams
D: 12.5 grams
Answer:
7.2 / 2.4 = 3 half-lives
(1/2)3 = 0.125 (the amount remaining after 3 half-lives)
100.0 g x 0.125 = 12.5 g remaining
Hope this Helped! :)
math question screen shot down below
Answer:
6
Step-by-step explanation:
If you plug 3 into x for the equation, you are left with:
y=-3(3)+15
Expanding the parentheses:
y=-9+15
Combining like terms:
y=6 miles remaining
Hope this helps!
6. Y is 6. He has 6 more miles left to go.
-3*3+15=6
Help me find the MAD volume please
How many sundaes are there?
Answer:
2
Step-by-step explanation:
8+12+4+8 = 32
32/4 = 8
8-8 = 0
12-8 = 4
8-4 = 4
8-8 = 0
4+4+0+0 = 8
8/4 = 2
f(x) = -5x+5. f(-2)
Answer:
f(-2)=15
Step-by-step explanation:
To find f(-2), we want to find what f(x), or y is, when x is equal to -2.
f(x)= -5x+5
Therefore, we can substitute -2 in for x.
f(-2)= -5(-2)+5
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Multiply -5 and -2
f(-2)=10+5
Add 10 and 5
f(-2)=15
Answer:
f(-2) = 15, or y = 15
Step-by-step explanation:
f(-2) = -5(-2) + 5
f(-2) = 10 + 5, a negative multiplied by a negative will be a positive !
f(-2) = 15
y = 15
A triangle has a base of x 1/2 m and a height of x 3/4 m. if the area of the triangle is 16 m^2, what are the base and the height of the triangle
Answer:
base = 6.4m
height = 5m
Step-by-step explanation:
Given area = 16m^2
3/4 -1/2 = 1/4 into something x 0.25 its size then add
We see that 2.5 is 10 multiplied. not relevant unless doing algebra
We also see that 0.5 is 0.25 x 2 not relevant unless doing algebra
We start with 5
16/5 = 3.2
if 5 is the height then 3.2 x 2 must be the base.
As we half base to find area so we change this value and reverse the area 1/2 above. 3.2 x 2 = 6.4m base. and 5m height stays as it is.
If we did algebra
Then 1/2 = 0.5 = 4.5
3/4 = 0.75 = 3.75
and we would have to plug in 1 as x
3 as x to find one value as 5.5 (-1) = 4.5
We find 3.75 as 5 (-1 )- 1/4 = 3.75
3.75 x 4.5 = 16.875m^2
and is closest fit using 1/4, 1/2 and -1.
But 3.2 x 5 is a better multiplication as 3 1/5 and finds 16 exact.
hi what is the answer
Answer:
A = 176.63 cm²
Step-by-step explanation:
Area of circle = π r ²
A = (3.14)(7.5)²
A = (3.14)(56.25)
A = 176.63 cm²
Answer:
Area of circle = pi x radius^2 = 3.142 x 7.5^2 = 176.74 (cm2)
Hope this helps!
:)
What is the value of s?
units
0
5
В
8
15
S
D
Consider the triangle ABD,
Here,
AB = 5
BD = 15
AD = s
As we know,
In a triangle, the sum of lengths of two sides is greater than the third side.
So,
[tex]5 + 15 > s[/tex]
[tex]15 + s > 5[/tex]
[tex]s + 5 > 15[/tex]
Now,
To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19
Answer: the value of s is 17 units
Step-by-step explanation: youre welcome
3) A box of chocolates contains four milk
chocolates and four dark chocolates. You
randomly pick a chocolate and eat it.
Then you randomly pick another piece.
The first piece is milk chocolate and the
second piece is dark chocolate.
Are the events independent or dependent?
What is the probability?
Answer:
dependent and 2/7
Step-by-step explanation:
dependent because you didn't replace it.
1/2 times 4/7 which is 4/14 which equals to 2/7
Percentages less than 100% definition
Answer:
fractions
Step-by-step explanation:
Answer:
A number or ratio expressed as a fraction of 100
Step-by-step explanation:
Use outside of percentages but reused under 100 when explained.
Steepness of a hill or gradient of a line = rise/run x 100
On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.
Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line. Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.
I NEED HELP!
Line 9 and 10
To calculate your taxable income, subtract the sum of lines 8 and 9 from line 7.
The sum of three numbers is 10. Two times the second number minus the first number is equal to 12.
The first number minus the second number plus twice the third number equals 7. Find the numbers.
Listed in order from smallest to largest, the numbers are
Answer:
-10,1,19
Step-by-step explanation:
x+y+z = 10 (Equation 1)
2y-x= 12 (Equation 2)
x-y+2z = 7 (Equation 3)
(Equation 2): -x = -2y+12
x = 2y-12 (Equation 4)
(Equation 1) - (Equation 3): 2y-z = 3
-z = -2y+3
z = 2y-3 (Equation 5)
Substitute (4) and (5) into (1)
x+y+z = 10
(2y-12)+y+(2y-3) = 10
5y-15 = 10
5y = 5
y=1
Substitute y=1 into (2)
2y-x= 12
2(1)-x= 12
2-x= 12
-x= 12-2
-x= 10
x= -10
Substitute y=1 and x=-10 into (1)
x+y+z = 10
-10+1+z = 10
z-9 = 10
z = 10+9
z = 19
Order: x = -10, y = 1, and z = 19
Answer:
-2 5 7
Step-by-step explanation:
Please help me! I will mark brainliest!
Answer:
the first answer=49t^8
Step-by-step explanation:
multiply 7 and 7 together, and add 4 and 4 together, that's how you'll get your answer
find the area of the composite figure
Answer:
Quickly learn how to find the Area of Composite Figures in today's geometry lesson. With 19 worked examples, you'll have everything you need ...
Step-by-step explanation:
