The solution is:
20/29 is the probability that a student chosen randomly from the class plays golf or soccer.
0 is the probability that a student chosen randomly from the class plays golf and soccer.
Here, we have,
given that,
In a certain Integrated Math II class of 29 students, 6 of them play golf and 14 of them play soccer.
There are 9 students who play neither.
Number of students that play = 20
let, students play golf = A
students play soccer = B
so, given that,
n ( A) = 6 and, n ( B) = 14
so, total sample space = 29
now, P(A) = 6/29
P(B) = 14/29
and, P(students who play neither) = 9/29
we get, 6/29 + 14/ 29 + 9/29 = 29/29 = 1
i.e. there are no students who play both golf and soccer = 0
all the events are independent.
so, we have,
the probability that a student chosen randomly from the class plays golf or soccer = P(A) + P(B)
= 6/29 + 14/ 29
= 20/29
and, the probability that a student chosen randomly from the class plays golf and soccer = 0.
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when do you think pressure can be negative
Answer:
Yes it can be negative
Step-by-step explanation:
For example, in a vacuum, there is no atmospheric pressure and the pressure is zero. If we introduce a sealed container into the vacuum and pump out the air, the pressure inside the container will be negative compared to the pressure outside the container.
A car dealership has 10 cars on display. They have 7 cars and 3 trucks. What decimal number shows the number of trucks they have on display?
Sid was given a bag with 6 calculators and 5 staplers. If Sid randomly picks one item out of the bag, what is the probability that he selects a calculator? Give your answer as a reduced fraction.
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
tan (0+24°)
A. cot (66⁰-0)
B. cot (156⁰-0)
C. tan (66⁰-0)
D. cot (114⁰-0)
The given function is tan (0+24°) and its cofunction can be expressed as ;tan (0+24°)= tan (66⁰-0)
Therefore tan (0+24°) in terms of its cofunctions, we need to use the formulas for sin and cos of complementary angles.
The complementary angle of 24° is 66° because 24° + 66° = 90°.
Using the formula for the sum of two angles, we can then substitute these values to get:
tan (0+24°)= tan (66⁰-0)
Therefore, expression of tan (0+24°)in terms of its cofunctions is tan (0+24°) = tan (66⁰-0)
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caculate the circumference of a circle whose diameter is 28cm.
Answer: about 87.96459430051421
Step-by-step explanation: 28 x 3.14 = the answer
Plot and connect the points A(4, 6), B(4, 0), C(1, -3), and D(1, 3), and find the area of the parallelogram formed.
Answer:
18 square units
Step-by-step explanation:
The parallelogram has been plotted in the attached figure
The area of a parallelogram is b x h
where b is one side and h is the vertical distance between the two bases
In the figure, we see that base = AB is parallel to the y-axis
This means the y-coordinates of A and B are the same and the distance is obtained by taking the absolute difference between the x-coordinates of A and B
b = |x1 - 2| = |6 - 0| = 6
The height h is a perpendicular line from point D(1, 3) to the base which touches the base at point E
Since this line is horizontal to the x-axis in the figure, the y coordinates of the endpoints of the line are the same i.e y1 =3 and y2 = 3
Therefore h = absolute difference between the x coordinates
= |1-4| = 3
Given b = 6, h = 3
area = 6x 3 = 18 square units
FIND THE TOTAL SURFACE AREA
30 Length
12 base
9 Hieght
The surface area of the rectangular prism is 1476 square units
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
30 mm by 12 mm by 9 mm
The surface area of the rectangular prism is calculated as
Surface area = 2 * (Length * Width + Length * Height + Width * Height)
Substitute the known values in the above equation, so, we have the following representation
Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)
Evaluate
Area = 1476
Hence, the area is 1476 square units
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Enter your answer in the box.
Answer:
I think it may be 160?
Step-by-step explanation:
400/5 is 80 there's 2 yellow so 2x80= 160 times
A car left Town A at 9:30 a.m. and reached Town B at 11:30 a.m. Its average speed was 60 km/h. Find the distance between Town A and Town B.
Answer:
120 km
Step-by-step explanation:
its average speed was 60 km an hour and it took 2 hours from town a to town b so 60km + 60km = 120
[tex]{\large {\orange{\underline {\underline {\mathcal {♡AnSwER♡⤵}}}}}}[/tex]
Left Town A at 9:30 am
Reached town B at 11:30 a.m
Therefore, Time taken by the car is =( 11:30 - 9:30) hrs =2 hrs
The speed of the car =60 km/h
So, the distance between Town A and B is = (Speed × Time) =( 60 × 2 )km =120 km.
The distance between Town A and B is 120 km. (Ans)
Hope it helps you
[tex]\red{\rule{200pt}{5pt}}[/tex]
[tex]\bold{Thank ~you~:)}[/tex]
Help please (elementary stats)
The average weight of a sample of objects is 94.83 pounds and the spread of the weights around the mean is measured by the sample standard deviation, which is 31.16 pounds.
The given data shows the weights (in pounds) of adult wild mountain lions captured and released for the first time in the San Andres Mountains.
(a) Using a calculator with mean and sample standard deviation keys, we can find the sample mean weight x and sample standard deviation s.
[tex]x = (70 + 107 + 130 + 128 + 60 + 64) / 6 = 94.83 \pounds\\\\s = \sqrt{\frac{(70 - 94.83)^2 + (107 - 94.83)^2 + ... + (64 - 94.83)^2} {5}}[/tex]
= 31.16 pounds
Therefore, the sample mean weight x is 94.83 pounds and the sample standard deviation s is 31.16 pounds.
(b) To find a 75% confidence interval for the population average weight u of all adult mountain lions in the specified region, we can use the formula:
CI = x ± t*(s/√n)
where CI is the confidence interval, x is the sample mean weight, t is the t-score for the desired confidence level (75% in this case), s is the sample standard deviation, and n is the sample size (6 in this case).
From the t-table, the t-score for a 75% confidence level with 5 degrees of freedom is 2.015.
Plugging in the values, we get:
CI = 94.83 ± 2.015*(31.16/√6) = (63.6 pounds, 126.1 pounds)
Therefore, we can be 75% confident that the true population average weight of all adult mountain lions in the specified region is between 63.6 pounds and 126.1 pounds.
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Angle A and B are complementary angles and angle B and C are supplementary angles. If angle A equals 20 what is the measure of angle C?
Answer:
Angle B measures 70°, so angle C measures 110°.
20° + B = 90°, so B = 70°.
70° + C = 180°, so C = 110°.
when given angle measures of 25,65,and 90,is it possible to draw a triangle,possible to draw only one triangle,or possible to draw more than one triangle?explain.
The total angle measurement of a triangle sum above is 180°. So yes, it is possible to only make a right angle triangle but impossible to draw a triangle
What is the triangle?To check if a triangle can be drawn with 25°, 65°, and 90° angles, we use the Triangle Angle Sum Theorem stating that all triangle angles add up to 180 degrees.
If you add all the angles together (25 + 65 + 90 = 180°), We can draw a triangle based on this sum, but we only consider the angles' nature. The triangle has angles of 25°, 65°, and 90°, making it a right triangle. It only applies to right triangle and not others triangle .
Note that based on the given angle measures of 25°, 65°, and 90°, it is impossible to draw a triangle as it does not follow the triangle inequality property.
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A company studied how much they pay employees. They found the mean and median annual salaries. These values are given in the table.
Annual Salary Data
Mean Annual Salary $62,000
Median Annual Salary $35,000
Which measure of center is best to describe salaries at the company? Select the statement that BEST explains your choice.
a. the mean, because people who earn too little make the median too small
b. the mean, because most workers earn a salary that is near this value
c. the median, because it is the measure of center with the lower value
d. The median, because people who earn a lot make the mean too large
The best measure of center to describe salaries at the company is the median. The Option D is correct.
Why is median best measure to describe salaries?The reason is that the median is less affected by extreme values or outliers which can greatly affect the mean. In this case, the mean annual salary is $62,000 while the median is only $35,000.
This large difference suggests that there are some very high earners at the company that are pulling up the mean. The median indicates that half of the employees earn less than $35,000 and half earn more which gives a more accurate picture of the typical salary at the company.
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The area of a rectangle painting is 3339cm^2. If the length of the painting is 63 centimeters, what is its width?
Answer:
Step-by-step explanation:
Width = Area / Length
Width = 3339 cm^2 / 63 cm
Width = (1113/21) cm
Width = (371/7) cm
Width = 52 cm
Which expression is equivalent to..?
The equivalent expression is the one in the last option:
[tex]\sqrt[10]{y}[/tex]
Which expression is equivalent to the given one?Here we want to find an expression equivalent to:
[tex](\frac{1}{\sqrt{y} } )^{-1/5}[/tex]
Remember the two rules for exponents that we need to use here:
[tex]x^{-n} = (1/x)^n[/tex]
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
Using the first rule, we can rewrite our expression as:
[tex](\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5}[/tex]
Now we can rewrite the root of a root to get:
[tex](\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5} = \sqrt[5]{\sqrt{y} } = \sqrt[10]{y}[/tex]
Where in the last step we just multiplied the exponents for the roots, we can see that the correct option is the last one.
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Using the graphing method, which of the following choices is the solution of the system: y = -x − 4 4y − 2x = 8 (-6, -2) (-4, 0) There are infinite solutions. There are no solutions.
The solution of the system of equations is the point (-4, 0)
How to solve the system of equations?Here we have the system of equations:
y = -x - 4
4y - 2x = 8
To find the solutions graphically, what we need to do is graph both equations on the same coordinate axis, and then find the points where the graphs of the equations intercept. These points are the solutions of the system.
On the image at the end, you can see the graph of the system of equations, there we can see that the lines intercept at the point (-4, 0), so that is the solution.
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Please help really urgent
Answer:
0.0909
Step-by-step explanation:
4 blue + 5 red + 3 black = 12 chips in total.
p=probability
1st draw:
p (blue) = 4/12
there are now 11 chips in the bag, 4-1 =3 are blue.
2nd draw?
p (blue) = 3/11
probability of pulling one blue chip followed by another blue chip is:
(4/12) X (3/11) = (4X3)/12X11)
= (12)/(132)
= 1/11
0.0909
PLEASE HELP
Angle RST is its own complement. What is the
measure of the angle that is supplementary to angle RST?
the measure of the angle that is supplementary to angle RST is 90 degrees
How to determine the angleTo determine the value of the angle, we need to know the following;
Complementary angles are defined as a pair of angles whose sum is equal to 90 degreesThese angles are mostly right -anglesSupplementary angles are defined as a pair of angles whose sum is equal to 180 degreesthese angles are mostly on a straight lineFrom the information given, we have that;
Angle RST is its own complement
Then, angle RST =90 degrees
The supplementary angle should be y
Then,
RST + y= 180
substitute the values
y = 180 - 90
subtract the values
y= 90 degrees
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Construct a stem-leaf Plot (Final arrangement): 18, 17, 23, 28, 13, 14, 15, 27, 21, 18, 12, 15, 41, 22, 14, 19, 18, 22, 33, 16
Stem-leaf plot for the given data:
1 | 2 3 4 5
2 | 1 2 2
3 | 3 3
4 | 1
The stem represents the tens digit and the leaf represents the ones digit of the data points. For example, the number 18 is represented as 1|8 in the plot.
A stem-and-leaf plot for the given data:
1 | 2 3 4
---+-------
1 | 2 2
2 | 2 2 3 8
3 | 3 3
4 | 1
5 |
6 | 6
7 | 7
8 |
In this plot, the tens digit is used as the stem, and the ones digit is used as the leaf. For example, the first two numbers in the data set are 18 and 17, which have stems of 1 and leaves of 8 and 7, respectively. These are shown in the first row of the plot as "1 | 8 7". Similarly, the number 23 has a stem of 2 and a leaf of 3, so it is shown in the second row as "2 | 3". The remaining numbers are arranged in the same way.
The numbers are arranged in ascending order within each row, and there are blank spaces for stems that do not appear in the data.
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Question
Which of the following is equivalent to 12x + 8?
○ 4(3x + 2)
O4(3x + 8)
O4(3x + 2x)
O 20x
Answer:
the first one
Step-by-step explanation:
reason - 4 times 3 is 12 and 4 times 2 is 8 so 12x+8
can someone explain how five is the correct answer.
The number of unique preference orders that are represented in the table would be B. Five.
How to find the number of unique preference orders ?An individualized preference order is one way to assign a hierarchal ranking to an assortment of options. This ordering is recognized as "unique" because each item is assigned its own rank, with no two elements sharing the same level of priority.
From what is shown on the table, we have Voters 2, 4, 5 and 7 having a unique order. From these four voters, we therefore have four unique preference orders.
However, there is another unique preference order which is the shared preference order of Voters 1. 3 and 6 because this is unique preference order shared by three people.
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Factor completely. 2x^2 − 7x − 4
Answer:
(2x + 1) (x - 4)
Step-by-step explanation:
2x² - 7x - 4.
need two number that add up to -7, but that multiply together to get -4.
(2x + 1) (x - 4) = 2x² - 4(2x) + x - 4 = 2x² - 8x + x - 4 = 2x² - 7x - 4
3. In the right triangle below, what is the measure of RST?
A 10°
B. 30°
C. 60°
D. 90°
The measure of angle RST is 90°.
option D.
What is the measure of RST?The measure of angle RST is calculated by applying the principle of a right angle triangle as shown below;
A right-angled triangle, also known as a right triangle, is a triangle in which one of the angles measures exactly 90 degrees. The side opposite the right angle is called the hypotenuse, while the other two sides are known as the legs.
From the given diagram, the measure of angle RST is calculated as follows;
∠S = 90 (since this angle has a symbol of right angle)
So the other two angles, R and T are complementary.
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8 1/2 x 4 1/4 = Answer
Answer:
Answer is 36 1/8
Step-by-step explanation:
8x4 is 36. 1/2 x 1/4 is 1/8
Answer:
36 1/8
Step-by-step explanation:
8 1/2 = 17/2 x 17/4 = 289/8 = 36.125 = 36 1/8
16 Bob is at a Carnival and will spin each spinner one time.
AB
4
1966
3
5
2
6 1
16
2
5
What is the probability that the spinner on the left will land on a 6 and the
spinner on the right will land on a shaded area?
3
4
213112
17 The equation 3x + 4 = 16 is modeled below:
The probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.
Probability is a branch of mathematics that deals with the measurement and analysis of uncertainty. In other words, probability is the measure of the likelihood or chance that a particular event will occur.
The probability that the spinner on the left will land on a 6 is calculated as,
P₁ = 2 / 12
The spinner on the right will land in a shaded area is,
P₂ = 8 / 12
The total probability will be,
P = ( 2 / 12 ) x ( 8 / 12 )
P = 1 / 9
Therefore, the probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.
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Use six pairs of the corresponding parts to explain why these triangles are similar
The corresponding angles and sides that show that the triangles are similar are: <A ≅ <R; <K ≅ <T; <M ≅ <L
RL/AM = RT/AK = TL/KM = 1.5.
What are Similar Triangles?Similar triangles are triangles that look alike but might be bigger or smaller than each other. This means that their matching or corresponding angles are the same and their matching sides have the same proportional length.
Therefore, from the image, we have corresponding pairs of angles that are congruent as follows:
Angles A and R
Angles K and T
Angles M and L
The corresponding sides that are proportional are:
AM and RL, which is RL/AM = 6/4 = 1.5
AK and RT, which is RT/AK = 7.5/5 = 1.5
KM and TL, which is TL/KM = 9/6 = 1.5
Therefore, the triangles are similar.
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Circle the error he made. Explain the error and show how to solve the system correctly.
The error in solving the system of equations is given as follows:
Application of the negative signal, the distributive property must be applied instead of simply changing the signal of the first term.
The correct solution is:
(-10, -38).
How to solve the system of equations?The system of equations for this problem is defined as follows:
2x - y = 18.y = 4x + 2.Replacing the second equation into the first, we have that:
2x - (4x + 2) = 18.
The negative sign changes the sign of all the terms inside the parenthesis, hence the value of x is obtained as follows:
2x - 4x - 2 = 18
-2x = 20
2x = -20
x = -10.
Then the value of y is given as follows:
y = 4(-10) + 2
y = -38.
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Which is equivalent to (4 + 44)?
Answer:
48
Step-by-step explanation:
just add the numbers. 48 is equal to (4+44)
have a great day and thx for your inquiry :)
Jen’s soccer team is playing 4 games next week. How many different outcomes are there for the four games
Answer:
4 outcomes
Step-by-step explanation:
(22-26)²+(34-26)²+(30-26)²+(14-26)²+(30-26)[tex]\frac{x}{y}[/tex]5
Answer:
[tex]20x+240y/y[/tex]
Step-by-step explanation:
1. Subtract the numbers
2. Evaluate the exponents
3. Subtract the numbers, again
4. Have a great day and thx for your inquiry :)