The probability that a player will be asked a math question and then a music question is 0.03125
How to determine the probability?The size of the sections are given as:
Music = 0.5
Sport = 0.5
Others = 1
So, the total size is:
Total = 0.5 + 0.5 + 1 + 1 + 1
Evaluate
Total = 4
The probability of asking a math question is:
P(Math) = 1/4 = 0.25
The probability of asking a music question is:
P(Music) = 0.5/4 = 0.125
The required probability is:
P(Math and Music) = P(Math) * P(Music)
This gives
P(Math and Music) = 0.25 * 0.125
Evaluate
P(Math and Music) = 0.03125
Hence, the probability that a player will be asked a math question and then a music question is 0.03125
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What is the solution for p in the equation?
7
p + p + 7 = p +5+4
OAp=1
OB. p=6
OC.
p= -1
OD. p= -6
Step-by-step explanation:
p + p + 7 = p + 5 + 4
2p + 7 = p + 9
2p - p = 9 - 7
p = 2
Find the solutions to the equation below.
Check all that apply.
6x² +7x-5=0
A. x= -2
B. x = 5
C. x = -5/
D. x = 1/1/2
Ex= 1/3
O F.x= -1/3
x=-5/3 and x=1/2
Step-by-step explanation:
I think you left out some numbers
What is the sum of the interior angles of a regular polygon with 12 sides?
A. 1260
B. 1800
C. 2160
OD. 360
The sum of the interior angles of a regular polygon of 12 sides is 1800°
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of the all the interior angles of a polygon with 'n' number of sides is given by the formula,
Sum of all the angles = (n-2) × 180°
Since the number of sides in the polygon is 12, the sum of the angles will be,
Sum = (12-2) × 180° = 10 × 180° = 1800°
Hence, the sum of the interior angles of a regular polygon of 12 sides is 1800°.
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9=-7x+7x^2 Helppp please
Answer:
x= 0.21428571428 or x=0.2
Step-by-step explanation:
-7x+7x^2=9 1. simplify 7x^2
-7x+ 7x(7x)=9 2. combine like terms
-7x+49x=9 3. combine like terms
42x=9 4. /42 on both sides
x= 0.21428571428 or x=0.2
If DE = x + 1, EF = 2x, and DF = 10, what is DE
Answer:
x=3
Step-by-step explanation:
I will assume this is a number line
DE + EF = DF
x+1 + 2x = 10
3x + 1 = 10
3x = 9
x = 3
Sample red box blue standard deviation 3.868 2.933 then complete each statement. the sample size of the session regarding the number of people would purchase the red box, n the sample size of the session regarding the number of people would purchase the blue box n_{2} is the standard deviation of the sample mean differences is approximately
The confidence Interval is CI = (-1.35, 1.35) and 1.74 is outside of this confidence interval and as such it is statistically significant.
How to find the confidence Interval?Formula for the confidence interval is:
CI = x' ± z(S.E)
where;
x is the mean
z is the critical value.
S.E is the standard error.
We are told that there is no difference between the population and as such; x = 0.
The confidence level is given as 95%.
z-score at 95% confidence level = 1.96.
Standard deviation of the sample mean differences is 0.69. Thus;
S.E = 0.69.
The confidence interval is:
CI = 0 ± (1.96 * 0.69)
CI = (-1.35, 1.35)
1.74 is outside of this confidence interval and as such it is statistically significant.
Complete question is;
I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.
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The temperatures for the summer in California are 105, 90, 85, 89, and 100.
What is the range of the temperature
Answer:
range is subtracting the highest number from the lowest number. so we want to find the difference
Step-by-step explanation:
all you do is 105-85 which is 15.
Sketch the graph of y= (x-3)2 - 25, then select the graph that corresponds
to your sketch.
The graph of the given quadratic equation is graph C.
How to sketch the quadratic equation?
Remember that for a quadratic equation with a vertex (h, k), the vertex form is given by:
[tex]y = a*(x - h)^2 + k[/tex]
Where a is the leading coefficient, in this case we have a = 1.
Here we have:
[tex]y = (x - 3)^2 - 25[/tex]
So the vertex is at (3, -25).
From that function we can also get the y-intercept, that is given by evaluating the function in x = 0, so we get:
[tex]y = (-3)^2 - 25 = -16[/tex]
So this function passes through (3, -25) and (0, -16). The sketch can be seen below.
Notice that from the given options only the third graph intercepts the y-axis on the negative region, so from that, we conclude that the third graph is the correct option.
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In ΔDEF, sin D=24/25. What is cos E? [Worth 20 points]
A. 24/25
B. 7/25
C. 25/7
D. 7/24
The value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]
TrigonometryFrom the question, we are to determine the value of cos E
From the given information, we have
[tex]sin \ D=\frac{24}{25}[/tex]
By SOH CAH TOA
Opposite = 24
Hypotenuse = 25
Thus, considering the diagram
/EF/ = 24
and
/DE/ = 25
By SOH CAH TOA
[tex]cos \ E =\frac{/EF/}{/DE/}[/tex]
∴ [tex]cos \ E =\frac{24}{25}[/tex]
Hence, the value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]
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Need help due tmr this is linear relationships
HELP PLS question is in picture along with answers
In the given diagram, the measure of angle B (m∠B) is 40°
Exterior angle theoremFrom the question, we are to determine the measure of angle B
By the exterior angle theorem,
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Then, we can write that
m∠A + m∠B = 155° (Exterior angle theorem)
115° + m∠B = 155°
m∠B = 155° - 115°
m∠B = 40°
Hence, the measure of angle B (m∠B) is 40°
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What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Answer: 6.64
Step-by-step explanation:
[tex]A=\frac{1}{2}(4.7)(3.2)(\sin 62^{\circ}) \approx \boxed{6.64}[/tex]
If your car has a 40 liter gas tank and your car can achieve 26 mpg (miles per gallon), how far can you travel on a full tank
Answer:
270.4 miles
Step-by-step explanation:
First we will convert the 40 liter gas tank into gallons.
There are about 0.26 gallons in 1 liter, so we can find how many gallons are in 40 liters by solving [tex]40 * 0.26[/tex], which equals to [tex]10.4[/tex] gallons.
We can now find how far we can travel on a full tank.
[tex]\mbox{26 miles per gallon } * \mbox{10.4 gallons} = \mbox{270.4 miles}[/tex]
This means we can travel 270.4 miles on a full tank.
That is the answer
- Kan Academy Advance
42 times 12 divided by 4
Answer:
42×12/4
=42×3
=126
........
help help help help help
pick one of the following sums and investigate these
What happens?
what is the general rule for each sums?
how does the rule work?
3.7+7.3=
6.4+4.6=
9.1+1.9=
5.5+5.5=
The general rule for each sum is that when you add the tenth term together we will get ten which will make the value an integer. The whole sum is equals to eleven.
How to find the general rule for a sum?Let's sum the decimal numbers to know the general rule,
Therefore,
3.7 + 7.3 = 11.0
6.4 + 4.6 = 11.0
9.1 + 1.9 = 11.0
5.5 + 5.5 = 11.0
Therefore, the values added are the reverse of the decimals. example is 3.7 and 7.3 or 6.4 and 4.6.
When you add the tenth term together we will get ten which will make the value an integer
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What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)
Answer:
they are different in the equation
Determine the area, in square units, of rectangle ABCD.
Enter the area of rectangle ABCD.
The area of rectangle ABCD with side 6 unit by 8 units is 48 unit²
What is an equation?An equation is an expression that shows the relationship between two or more variables or numbers.
From the rectangle ABCD:
AB = 6 units, BC = 8 units
Hence:
Area of ABCD = 6 units * 8 units = 48 unit²
The area of rectangle ABCD with side 6 unit by 8 units is 48 unit²
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2.) which number could not be a value of y if:
y = 4x2-6
a.) 30
b.) 10
c.) -6
d.)-12
The number that could not be a value of y if y = 4x² - 6 is -12.
What is the value of y for a function of f(x)?The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.
So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.
i.e.
y = 4(0) - 6
y = 0 - 6
y = -6
Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.
Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.
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Answer:
-12 is the answer.
PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answer:
the answer is 40
Step-by-step explanation:
A = 10 x 8 over 2 which is 40
What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99
Answer:
To find the mean of a given data set, add up all the values then divide by how many numbers ...
Step-by-step explanation:
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room. how many quarts of paint did mieko use in the living room?
The number of quarts of paint did mieko use in the living room is A = 3 quarts
Given data ,
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room
Now , on simplifying the equation , we get
Two gallons of paint is equal to 8 quarts (2 x 4 = 8)
Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)
She used 3 quarts of paint on the hallway
Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway
Therefore , she used 8 - 5 = 3 quarts of paint in the living room
Hence , the number of quarts is A = 3 quarts
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The histogram shows the results of a survey that asked people how many hours of sleep they get each night. Which
statements are true?
The true statements are
The mean is near the median.
The mean is the best measure of center.
The five-number summary is the best measure of variation
What is a histogram?
A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.
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What is the line of symmetry for the parabola whose equation is y=x^2-12x+7
Answer:
x = 6
Step-by-step explanation:
The line of symmetry for the parabola written in the form y=ax²+bx+c is given by the equation x=-b/(2a).
__
Comparing your equation to the above form, we see ...
a=1b=-12c=7Then the line of symmetry is ...
x = -b/(2a) = -(-12)/(2(1)) = 6
The line of symmetry is x=6.
A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle?
Answer: 203
Step By Step Explanation: Just multiply the numbers.
Answer:
Area = 203 [tex]ft^{2}[/tex]
Step-by-step explanation:
The area of a rectangle can be found using this equation:
Area = length x width
The length given is 29 feet, and the width is 7 feet.
Let's plug these into the equation:
Area = (29)(7) = 203 [tex]ft^{2}[/tex]
Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].
Hope this helps! If you have any questions about my work, please let me know down in the comments!
Work out th
e value of x x y x z
Step-by-step explanation:
simple x×x×y×z=x^2×yz=x^2yz
Consider the graph of the function f(x)=(x−2)12 below. Which statements are true about the function f(x) ? Choose all that are correct. A The minimum value of f(x) occurs at the point x=0 . B The function does not reach a maximum value. C The function is increasing for all values of x larger than 2. D For some values of x , f(x)<0 . E The function is decreasing for all values of x smaller than 2.
The correct statements regarding the function in the graph are given as follows:
B. The function does not reach a maximum value.
C The function is increasing for all values of x larger than 2.
What are the correct statements regarding the function?The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.
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write the formula of gravitational force between two bodies of mass 'x'and 'y' kept at a distance 'r'
[tex]\huge \orange{F =G.\frac{xy}{r^2}}[/tex]
Step-by-step explanation:
Masses of the bodies are x and yDistance at which they are kept is rWhen two bodies are of masses x and y are placed at a distance r then the gravitational force acting on them is given as:[tex]\huge \purple{F =G.\frac{xy}{r^2}}[/tex]Where G is the gravitational constant.Explain how you would find the area of the shape below.
Answer:
Explained below
Step-by-step explanation:
Area= area of these two triangles+ area of the rectangle+ area of the
=1/4(dh)+ +l.b +
HELP ASAP ILL MAKE YOU THE BRAINIEST
find the value of c
Work Shown:
tan(angle) = opposite/adjacent
tan(61) = x/9
x = 9*tan(61)
x = 16.2364298 approximately
Your calculator needs to be in degree mode. One quick way to check is to type in something like tan(45) and the result should be 1.