Answer: Our required probability is 12%.
Step-by-step explanation:
Since we have given that
Probability of being selected as the captain of the baseball team= P(A) = 60%
Probability of being selected as elected student body president = P(B) = 20%
We need to find the probability of being selected as the captain of the baseball team and will be elected student body president.
Since both the events A and B are independent events.
So, it becomes,
[tex]P(A\cap B)=P(A)\times P(B)=0.6\times 0.2=0.12\times 100\%=12\%[/tex]
Hence, our required probability is 12%.
Shakira went bowling with her friends .she paid $3 to rent shoes and then $4.75 for each game of bowling.if she spent a total of $21 , then how many games did shakira bowl ?
Answer: Shakira bowled 4 games.
Step-by-step explanation:
Hi, the total cost for Shakira (21) is equal to the multiplication of the price of each game of bowl (4.75) and the number of games bowled (g), plus the cost of the shoes rental (3).
3 + 4.75 g = 21
Solving for g:
4.75 g = 21-3
4.75 g = 18
g= 18/4.75
g = 3.78 = 4 games (rounded)
Feel free to ask for more if needed or if you did not understand something.
trey made 12 out of 30 free throw shots on the basketball court. if he attempts 75 free throw shots, how many could be expect to make
Trey can expect to make approximately 30 out of 75 free throw shots based on his previous success rate of 12 out of 30 shots.
To find how many free throws Trey might make out of 75 attempts, we use the proportion of his successful shots in the initial 30 attempts. Trey made 12 out of 30 shots, which is a success rate of [tex]\( \frac{12}{30} = \frac{2}{5} \).[/tex] We can expect him to maintain this rate over 75 shots:
[tex]\[ \text{Expected shots made} = \left( \frac{2}{5} \right) \times 75 = \frac{2 \times 75}{5} = 30 \][/tex]
Therefore, Trey can expect to make approximately 30 free throws out of 75 attempts. This estimation assumes his skill level and shooting conditions remain consistent throughout the attempts.
This calculation is a basic projection and doesn't account for potential variations in Trey's performance. Factors such as fatigue, practice, and pressure can influence his actual performance. However, it provides a reasonable estimate based on his past performance.
Using this estimate, coaches or analysts can make rough predictions about Trey's potential scoring contribution from free throws in a game or practice session, helping them plan strategies accordingly.
which relation is a function?
A function is a relation which associates every element in the domain to a unique element in the codomain.
In option 1,
2 has more than one image, namely 3 and 7.
In option 3,
11 has more than one image, namely 9 and 5.
In option 4,
3 has more than one image, namely 8 and -2.
Hence, the correct option is 2, where every element in the domain has unique image.
Solve the equation for the variable specified.
mn+7p=8 for p
To solve the equation mn + 7p = 8 for p, subtract mn from both sides to get 7p = 8 - mn, then divide by 7 to isolate p, resulting in p = (8 - mn) / 7.
Explanation:To solve the equation mn + 7p = 8 for p, we need to isolate p on one side of the equation. We can do this by performing the following steps:
Subtract mn from both sides of the equation to get 7p = 8 - mn.Divide both sides of the equation by 7 to solve for p: p = (8 - mn) / 7.Now, the variable p is isolated, and the equation shows p in terms of m and n.
The provided reference solution and the graphing technique are not directly applicable to this algebra problem, as they pertain to different cases with specific contexts such as elasticity and supply-demand curves. For the actual question at hand, we focused exclusively on algebraic manipulation to find the value of p.
A teacher wants to calculate a class average on the last test. One student made a significantly lower score than the rest of the class because he failed to follow instructions. Which measure of center would be best for the teacher to use to get an accurate idea on how well the class as a whole performed on the last test?
A. mode
B. median
C. mean
D. range
Final answer:
The median is the best measure of center for the teacher to use to evaluate the overall performance of the class on a test when the data set includes an outlier.
Explanation:
The most appropriate measure of center for the teacher to use in this situation is the median. This is because the median is the best measurement when a data set contains outliers or extreme values that could significantly skew the mean. Since the dataset contains a student score that is significantly lower due to not following instructions, the median would provide a more accurate idea of how the class as a whole performed, as it is less affected by this outlier. On the other hand, the mode might not be as informative if most of the scores are unique, and the mean would be substantially affected by the low score. The range is a measure of spread, not center, and therefore not suitable for determining the average performance.
What is the function rule for the line
The equation of the line will be y = ( 2 / 3 )x -2. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that the line in the image has the points ( 3, 0 ) and ( 0,-2). The equation of the line will be calculated by finding the slope and the y-intercept of the line.
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -2 - 0 )/ ( 0 - 3 )
Slope = ( 2 / 3 )
y = mx + c
-2 = m 9 0 ) + c
c = - 2
The equation of the line will be written as:-
y = mx + c
y = ( 2 / 3 )x - 2
Therefore, the equation of the line will be y = ( 2 / 3 )x -2. The correct option is B.
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PLEASE HELPPPPP
The expression 60(1+x) represents the total bill including the tip. What do the different parts of the expression represent? Match each expression to the correct description.
1) Cost of meal __
2) Tip percentage __
3) Number of friends __
a) x
b) (1+x)
c) 60
Answer:
1) Option c
2) Option b
3) Option a
Step-by-step explanation:
Given : The expression 60(1+x) represents the total bill including the tip.
To find : What do the different parts of the expression represent?
Match each expression to the correct description.
1) Cost of meal __
2) Tip percentage __
3) Number of friends __
Solution :
The expression represents the total bill including the tip is 60(1+x).
When we see the expression,
The cost of the mean is always fixed.
So, Cost of the meal is 60.
Number of friends is unknown.
So, Number of friends is 'x'.
The tip percentage is given by '1+x'.
Plot (4, −3/4) on the coordinate plane.
Answer:
[tex](4, \frac{-3}{4} )[/tex]
Step-by-step explanation:
To plot it is necessary to mark the point 4 for the x-coordinate and the point -3/4 for the y-coordinate. Since the order is [tex](x,y)\Rightarrow(4,\frac{-3}{4})[/tex] then check the graph below.
Answer:
I hope this helps! <3
Step-by-step explanation:
he linear inequality y < -
2
3
x + 2 is graphed. Determine a solution for the inequality.
A) (0, 2)
B) (3, 0)
C) (0, 0)
D) (0, 3)
Solution of inequality is determined by the fact that if the given point is in the shaded region of the graph or not . Dotted line in the graph shows that any point on that dotted line is not part of the solution . So here all those options which have the points in the shaded region but not on the line are solutions .
Therefore only C (0,0) is the correct option .
Check the image attached for better picture of what is explained.
days/ cost to rent a truck 1/34 2/50 3/66 4/82 A/ C=16d B/ C= 16d + 18 C/ C= 16d + 16 D/ C=18d + 16
Your Answer Will be
c=16d+18
GradPoint Answer
5.6×10⁴ in standard notation
Yuki has a ribbon that is 11 1/4 feet long. She divides it into pieces that are each 1 7/8 feet long. She uses three pieces to make a bow. How many bows can she make in all?
help please
Mark as "Brainliest"
add the 2 sets of numbers
-5 +-7 = -12
-3 +-1 = -4
Answer is B
The equation 12x + 15y = 390 represents the total revenue during a one-day fundraiser. In the equation, x represents the number of youth T-shirts sold, and y represents the number of adult T-shirts sold. If there were 10 youth T-shirts sold, how many adult T-shirts were sold?
18 T-shirts
20 T-shirts
24 T-shirts
45 T-shirts
Carter got the following scores on science tests: 90, 82, 88, 78, 93 What is the mean absolute deviation? A. 4.96 B. 12.00 C. 86.20 D. 88.00.
A culture of 1.08×1015 bacteria is in petri dish A. A culture of 2.7×1011 bacteria is in petri dish B. How many times greater is the number of bacteria in petri dish A than petri dish B? Enter your answer, in standard notation, in the box
Answer:
4,000 times greater 4*10^3
Step-by-step explanation:
The population of China is approximately 1.381 × 10^9, and the population of the United States is approximately 3.23 × 10^8. About how many people live in both countries combined? Express your answer in scientific notation.
Answer:
The population of China: 1.381 × 10^9=13.81 × 10^8
The population of the United States: 3.23 × 10^8
Total: 13.81 × 10^8 + 3.23 × 10^8 = (13.81 + 3.23) × 10^8 = 17.04 × 10^8
= 1.704 × 10^9
Step-by-step explanation:
The number of people living in both countries is an illustration of addition operation.
About [tex]\mathbf{17.04 \times 10^8}[/tex] people live in both countries
From the question, we have the following highlights
[tex]\mathbf{China = 1.381 \times 10^9}[/tex]
[tex]\mathbf{US = 3.23 \times 10^8}[/tex]
So, the population living in both countries is:
[tex]\mathbf{Total = China + US}[/tex]
Substitute known values
[tex]\mathbf{Total = 1.381 \times 10^9 + 3.23 \times 10^8}[/tex]
Factor out 10
[tex]\mathbf{Total = 1.381 \times 10 \times 10^8 + 3.23 \times 10^8}[/tex]
[tex]\mathbf{Total = 13.81 \times 10^8 + 3.23 \times 10^8}[/tex]
Factor out 10^8
[tex]\mathbf{Total = (13.81 + 3.23 )\times 10^8}[/tex]
[tex]\mathbf{Total = 17.04 \times 10^8}[/tex]
Hence, about [tex]\mathbf{17.04 \times 10^8}[/tex] people live in both countries
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Which fraction is closest to 1?
5/6, 11/20 or -9/10
Solve the inequality. |6p + 3| > 15
The value of p for the for given absolute value inequality |6p + 3|>15 lies in between - 3 and 2.
What is absolute value inequality?An absolute value inequality is an expression with absolute functions as well as inequality signs.
According to the given question.
We have an absolute value inequality |6p + 3| > 15
The above inequality can be written as
[tex]-15 < 6p+3 < 15[/tex]
⇒ [tex]-15-3 < 6p < 15-3[/tex]
⇒[tex]-18 < 6p < 12[/tex]
⇒[tex]\frac{-18}{6} < p < \frac{12}{6}[/tex]
⇒[tex]-3 < p < 2[/tex]
⇒ p ∈ (-3, 2)
Hence, the value of p for the given absolute value inequality |6p + 3|>15 lies in between - 3 and 2.
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evaluate 2⋅(5^8/5^5)
what numbers are 5 units or more away from -2 on a number line
Xavier worked 10 hours on Monday and 15 hours on Wednesday. His total pay was 280.00 what is his rate per hour
Xavier's rate per hour is $11.20.
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, Xavier worked 10 hours on Monday and 15 hours on Wednesday. His total pay was 280.00
Number of hours worked on Monday = 10 hours
Number of hours worked on Tuesday = 15 hours
Total pay received by Xavier = $280
Total number of hours worked = (10 + 15) = 25 hours
Therefore, Rate per hour = 280/25 dollars per hour
Hence, Xavier's rate per hour is $11.20.
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write a word problem that can be solved by ordering three decimals to thousandths include a solution
Graph
−7y+8=21x−6
.
Answer:
y=-3x+2
To make it easier work the problem out first to get it to y=mx+b now graph it
Step-by-step explanation:
-7y+8=21x-6
-7y=21x-6-8
-7y=21x-14
y=-3x+2
The school gym can hold no more than 650 people. The bleachers will seat 176 people. The PTA is setting up 25 rows of chairs for their meeting. At most, how many chairs can be in each row?
A) 18
B) 19
C) 26
D) 27
Answer:
A)18
Step-by-step explanation:
The number of chairs in the school gym can be represented by inequality 176 + 25c ≤ 650, where c represents the number of chairs in each row. When you solved for c, we find that c = 18.96. Since you cannot have a fraction of a chair, we know that the maximum number of chairs in each row must be 18.
Hope this helps!!!!!!!!!!!!!!!!!!!!!!!!
Which statements about doubling an investment are true? Check all that apply.
An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.
An investment of $1,000 will double at an annual compound interest rate of 18% in 6 years.
An investment of $350 will double in 9 years at a compound interest rate of 8%.
An investment of $2,000 will double at a simple interest rate of 5% in 20 years.
An investment of $700 will double in 12 years at a simple interest rate of 6%.
this is the correct answer
Answer:
statement A, C, D, are true.
Step-by-step explanation:
We check all the statements by the rule of 72 to find which statement about doubling an investment are true.
Formula we use = [tex]\frac{72}{R}[/tex] R = Rate of interest
Statement A :
An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.
[tex]\frac{72}{12}[/tex] = 6 years
It will take 6 years to double the investment. This statement is true.
Statement B :
An investment of $1000 will double at an annual compound interest rate of 18% in 6 years.
[tex]\frac{72}{18}[/tex] = 4 years
It will take 4 years to double the investment. This statement is not true.
Statement C:
An investment of $350 will double in 9 years at a compound interest rate of 8%.
[tex]\frac{72}{8}[/tex] = 9 years
It will take 9 years to double the investment. This statement is true.
Statement D :
An investment of $2000 will double at a simple interest rate of 5% in 20 years.
Formula for Simple interest = (PRT)
I = (2000 × 0.05 × 20) = $2000
So the amount will be 4000 in 20 years. This statement is true.
Statement E :
An investment of $700 will double in 12 years at a simple interest rate of 6%
Interest = ( 700 × 0.06 × 12 ) = $504
Amount after 12 years 700 + 504 = $1204. This statement is not true.
A movie theater charges $10.50 per ticket and $5 per bucket of popcorn. You never buy the popcorn because you think it's too expensive.
Is the total price you pay proportional to the number of tickets you buy?
Yes, the total price pay is proportional to the number of tickets.
What is proportionality?In mathematics, proportionality indicates that two quantities or variables are related in a linear manner.
Since you never plan to buy the popcorn but only the movie ticket, therefore we can definitely say that there is a direct correlation between the total price and the number of tickets bought.
Since, 1 ticket = $10.50
So,
The proportion equation is:
P = 10.50 t
where P is the total price and t is the number of tickets
Hence, the total price pay is proportional to the number of tickets.
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Which graph shows the solution of 9 - c < 2 or -3c > 15
Need help with this problem thank you!
Solve 6x-17= k for x
A point P has coordinates (-8, 2). What are its new coordinates after reflecting point P across the x-axis?