probability that Regina plays tennis and/or basketball during her 8th grade year at Redland Municipal Middle School, we first need to know the total number of sports offered and the number of students participating in each sport. However, based on the information provided in your question, we do not have sufficient data to determine the probability.
In general, to determine the probability, we would follow these steps:
1. Determine the total number of sports offered at the school (let's call this S).
2. Find out the number of students participating in tennis (T) and basketball (B).
3. Calculate the probability of Regina playing tennis (P_T) by dividing T by S.
4. Calculate the probability of Regina playing basketball (P_B) by dividing B by S.
5. Use the formula P(T or B) = P_T + P_B - P(T and B) to calculate the probability that Regina plays tennis and/or basketball. Here, P(T and B) is the probability of her playing both sports.
Without the specific numbers, we cannot provide a precise probability. Please provide more details about the sports and participation at Redland Municipal Middle School to help us calculate the probability accurately.
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What is the transformation in the function y=x^2+10?
A. up 10
B. down 10
C. right 10
D. Left 10
Answer: Left 10 Units
Step-by-step explanation: hope this helps
The cost of admission to enter the park is $30 and the rides are an additional $6 each. If your parents give you $100 to spend at the amusement park what is the maximum number of rides you can go on?
Answer: 11 rides
Step-by-step explanation:
First, take away the admission fee from the total amount of money you have$100 - $30 = $70
So, now you have $70. But since each ride costs $6, you have to divide $70 by $6 to find out how many 6s can go into 70.$70 ÷ $6 = 11.666666
Since you can't go on a ride 0.6666666666 times, you can discard this.As a result, the answer is 11 rides.Hope this helps!
what is
\( {y}^{2} = 44\)
can anyone help me pls
What do u get when u Simplify (5b)(-3a).
**IF ANYONE IS AN EXPERT IN MATH PLEASE HELP.**
i’ve figured out the answer to this problem but i have to check which i dont know how. Could anyone please help me on this? how do you check your answer?
To check you're answer just fill in 18.7 for h in the original problem.
What is (-8) - (-7)
I’ll give brainliest
Step-by-step explanation:
(-8) - ( - 7)
= -8 + 7
= - 1
Hope it will help :)
Answer:
(-8)-(-7)= -1
Step-by-step explanation:
In a survey of 3,400 people who owned a certain type of car, 2,210 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
27% of the people
Step-by-step explanation:
Sorry if im wrong i did the math i should be right
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $190, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.
After solving equation , the plumber put in 3.1 hours of work (or 3 hours, 6 minutes).
what is equation?A mathematical assertion that demonstrates the equality of two expressions is called an equation The equals symbol (=) is used to denote the separation of two phrases. Numerous mathematical ideas and relationships, including linear functions, quadratic functions, and trigonometric functions, can be represented by equations.
Let's use the letter 'h' to indicate how many hours the plumber put in.
The plumber costs $35 to come to Jerald's residence and $50 for every hour they work. If Jerald is charged a total of $190 by the plumber, the following equation can be written:
$50h + $35 = $190
To solve for 'h,' we obtain:
$50h = $190 - $35
$50h = $155
h = 155 / 50
h = 3.1
Consequently, the plumber put in 3.1 hours of work (or 3 hours, 6 minutes).
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same has 4 times as many nickels as dimes. he had 0.90 in all. how many coins of each type does he have>
The number of dimes are 2 and number of nickels are 8 according to the sum and number of coins.
Let the number of dimes be x. The number of nickels will be 4x. Also, as per the known fact, the value of dimes is 0.1 and value of nickels is 0.05. Keeping the values in formula -
0.05x + 0.1×4x = 0.90
0.05x + 0.4x = 0.90
Performing addition on Left Hand Side of the equation
0.45x = 0.9
Rewriting the equation
x = 0.9/0.45
Performing division on Right Hand Side of the equation
x = 2
Number of dimes = 2
Number of nickels = 4×2
Performing multiplication
Number of nickels = 8
Thus, there 2 dimes and 8 nickles.
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y varies inversely with x. If y = 40 when x = 16, find x when y = -5.
the altitude of a triangle is increasing at a rate of 1 1 centimeters/minute while the area of the triangle is increasing at a rate of 4 4 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 10.5 10.5 centimeters and the area is 90 90 square centimeters?
Answer:
-128/147 cm/min
Step-by-step explanation:
\(A=\frac{1}{2}bh \\ \\ 90=\frac{1}{2}(10.5)b \\ \\ b=\frac{120}{7} \\ \\ \\ A=\frac{1}{2} bh \\ \\ \implies \frac{dA}{dt}=\frac{b}{2} \frac{dh}{dt}+\frac{h}{2} \frac{db}{dt} \\ \\ 4=\frac{21}{4}+\frac{db}{dt}+\frac{60}{7} \\ \\ \frac{db}{dt}=-\frac{128}{147}\)
The taxi fare for the first two miles is $5 and for each additional mile the fare increases by $ 2. What is the taxi fare for a journey of n miles in dollars?
The taxi fare for a journey of n miles in dollars is 1 + 2n
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the equation of the system?The given parameters about the taxi fares are given as
First two miles = $5
Additional mile = Increment of $2
Let the number of miles be n
So, we have:
2 miles = $5
Additional miles = (n - 2) * 2
Add the above expressions
5 + (n - 2)* 2
Represent the value with f(n)
So, we have:
f(n) = 5 + (n - 2)* 2
Expand the bracket
f(n) = 5 + 2n - 4
Collect the like terms
f(n) = 5 - 4+ 2n
Evaluate the like terns
f(n) = 1 + 2n
Hence, the taxi fare for a journey of n miles in dollars is 1 + 2n
So, the complete parameters are:
First two miles = $5
Additional mile = Increment of $2
n miles 1 + 2n
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The required equation that has solution as x = -2 and x = 2, are x²– 4 = 0 and 4x² = 16
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
x²– 4 = 0
x² = 4
x = ±2
4x² = 16
x² = 4
x = ±2
Thus, the required equation that has solution as x = -2 and x = 2, are x²– 4 = 0 and 4x² = 16
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What is the answer to this
Answer:
I cannot see it
Step-by-step explanation:
a spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. at what rate is the volume of the snowball decreasing when the diameter is 12 cm.
The rate of decrease in volume of the snowball when its diameter is 12 cm is approximately 1.36 cm³/min.
When a spherical snowball is melting, it's diameter decreases at a rate of 0.3 cm/min. The rate of change of volume of a sphere is given by:dV/dt= (4π/3)r²(dr/dt)Since the diameter is given as 12 cm, the radius of the snowball is 6 cm.So the diameter is decreasing at a rate of 0.3 cm/min.
We are to find the rate of decrease in volume of the snowball when the diameter is 12 cm.The radius of the snowball is given by r = 6 cm, and the rate of change of its diameter is d = -0.3 cm/min.At this point, we need to calculate the rate of decrease in volume of the snowball when the diameter is 12 cm.
The rate of decrease in volume of the snowball is given bydV/dt = (4π/3)r²(dr/dt)dV/dt = (4π/3)(6 cm)²(-0.3 cm/min)≈ -1.36 cm³/minTherefore, the rate of decrease in volume of the snowball when the diameter is 12 cm is approximately -1.36 cm³/min.
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Write the equation of a line that is parallel to y = -7 and that passes through the point (7,5)
Answer:
Y=5
Step-by-step explanation:
Ray's bakery sells cookies for $1.50 for 6. How much would it cost to buy 15?
Answer:
22.5
Step-by-step explanation:
Jonah runs mile on Sunday and mile on Monday. He uses the model to find
that he ran a total of 1 mile. What mistake does Jonah make?
Answer:
He only added Sundays run
Step-by-step explanation:
The number of murders and robberies per 100,000 population for a random selection of states is shown.
The equation of the regression line has the following shape:
\(y=mx+b\)Where m is calculated through the following equation:
\(m=\frac{N\sum^{}_{}xy-\sum^{}_{}x\sum^{}_{}y}{N\sum^{}_{}x^2-(\sum^{}_{}x)^2}\)And b is calculated through the following equation:
\(b=\frac{\sum^{}_{}y-m\sum^{}_{}x}{N}\)N is the number of samples. 8 for this case.
The values of all the sums present in the above equation are reported in the last row of the table:
\(\begin{gathered} \sum ^{}_{}x=31 \\ \sum ^{}_{}y=680.1 \\ \sum ^{}_{}xy=3202.71 \\ \sum ^{}_{}x^2=142.52 \\ \sum ^{}_{}y^2=80033.99 \end{gathered}\)Now, we can begin calculating m by replacing the values:
\(\begin{gathered} m=\frac{8\cdot3202.71-31\cdot680.1}{8\cdot142.52-31^2} \\ m=25.333 \end{gathered}\)The slope of the equation is m = 25.333.
Now, we can calculate b:
\(\begin{gathered} b=\frac{680.1-25.333\cdot31}{8} \\ b=-13.153 \end{gathered}\)Now that we know the parameters m and b for the linear regression, we can build the equation:
\(\begin{gathered} y=mx+b \\ y=25.333x-13.153 \end{gathered}\)Where x represents the murders and y the robberies per 100,000 population.
Then, (a): the equation of the regression line is y = 25.333x - 13.153.
To predict the robberies per 100,000 population when x = 4.5 murders, we just need to replace that 4.5 in the equation that we just found:
\(y=25.333\cdot4.5-13.153=100,85\)Finally, (b): according to the linear regression, the number of robberies per 100,000 population when x = 4.5 murders is approximately 100,85.
How do you reduce row echelon form on a calculator?
You cant do it on normal calculators you will need somthing like the TI-84 or CASIO FX-9860GII .
in a sample of 1000 cases, the mean of a certain test is 14 and the standard deviation is 2.5. assume the distribution to be normal. how many score above 18?
The number of scores above 18 in a sample of 1000 cases with a mean of 14 and a standard deviation of 2.5 is 2 or higher. This can be found using standard normal distribution and z-scores.
To find the number of scores above 18, we need to calculate the z-score that corresponds to 18 and then use a standard normal distribution table to find the proportion of scores that are above that z-score. The z-score can be calculated as (18-14)/2.5 = 2.
Next, we can look up the proportion of scores that correspond to a z-score of 2 or higher in a standard normal distribution table. This proportion represents the number of scores in the sample that are above 18, assuming a normal distribution.
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hello please help i’ll give brainliest
Answer:
Dogs were trained to help with hunting
Step-by-step explanation:
dogs would hunt for them selfs out when they wasn't tamed,now that dogs are tamed they are trained in many different ways '
hoped this helped lmk if it did
Answer:
Dogs were trained to help with hunting
Step-by-step explanation:
This one shows humans changing an animal's behavior for their benefit.
A right triangle has an angle measure of 52.4 degrees. What is the value of 'x', the missing angle?
Answer:
The answer is 37.6 degrees
Step-by-step explanation:
Since a right angle is 90 degrees in total, to find the missing degree subtract 52.4 from 90 to find the value of x.
90-52.4= 37.6 degrees
37.6 degrees is your answer
Hope this helps
50 POINTS + BRAINLIEST PLEASE HELP
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 4/5
Step-by-step explanation:
The line goes over the point (5,6) so we can use that to help us find the slope. Since slope is rise/run, the rise would be 4 and the run would be 5. Thus the slope is 4/5
WHEN SOLVING A QUADRATIC BY FACTORING, WHAT MUST YOU MAKE SURE OF FIRST BEFORE FACTORING?
Answer: Ight
Step-by-step explanation:
Therefore, when solving quadratic equations by factoring, we must always have the equation in the form "(quadratic expression) equals (zero)" before we make any attempt to solve the quadratic equation by factoring. Note that "x = 3, 4" means the same thing as "x = 3 or x = 4"; the only difference is the formatting
1-12. Given each condition on f and g, determine if i. f+g ii. fg iii. f∘g is even, odd, or neither. (a) f is even, g is even (c) f is odd, g is even (b) f is even, g is odd (d) f is odd, g is odd 1-13. For general values of a,b,c,d, determine the inverse of f(x)= cx+d
ax+b
. What condition on a,b,c,d is necessary to ensure that the function is invertible?
1-12:Given the conditions of f and g, the determinations of
(i) f+g,
(ii) fg, and
(iii) f∘g are as follows:
(a) f is even, g is even:
(i) f+g is even because even + even = even.
(ii) fg is even because even * even = even.
(iii) f∘g is even because even composite even = even, and the composite of two even functions is even.
(b) f is even, g is odd:
(i) f+g is neither even nor odd.
(ii) fg is even because even * odd = even.
(iii) f∘g is even because even composite odd = even.
(c) f is odd, g is even:
(i) f+g is neither even nor odd.
(ii) fg is odd because odd * even = even.
(iii) f∘g is odd because odd composite even = odd, and the composite of an odd and an even function is odd.
(d) f is odd, g is odd:
(i) f+g is odd because odd + odd = even.
(ii) fg is odd because odd * odd = odd.
(iii) f∘g is even because odd composite odd = even, and the composite of two odd functions is even.1-13:
The inverse of f(x) = cx + d/ax + b can be calculated using the following steps:
f(x) = y, therefore:xy + bx = cx + dxy = cx - bx + dxy = (c-b)x + d
The inverse is (f-1(x)):x = (c-b)y + d(c-b)y = x - d(c-b)f-1(x) = (x-d)/ (c-b)
To ensure that the function is invertible, a,b,c,d should meet the following conditions:a ≠ 0, because division by 0 is not possible, andax+b ≠ 0, because it would make f(x) undefined for x = -b/aa ≠ c, because if a = c, then the numerator of the inverse would be zero, and division by 0 is not possible.
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What two numbers is the square root of 41 between?
a 6 and 7
b 7 and 8
C
8 and 9
d 9 and 10
A car salesman sold two cars worth a total of $67,500. He was paid a commission of $2,025. What percent was this?
Answer choices are 1%, 2%,3%,4%
Answer:
3%
Step-by-step explanation:
1 percent of 67,500 is 675
2 percent of 67,500 is 1,350
3 percent of 67,500 is 2,025
4 percent of 67,500 is 2,700
Choose all expressions that are equivalent to
to 5/7
Answer:
C,D,E are equivalent to 5/7
What is the yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons if this bond is currently trading for a price of $884?
5.02%
6.23%
6.82%
12.46%
G
5.20%
The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct
Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.
The formula for calculating YTM is as follows:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
Where:
C = Interest payment
F = Face value
P = Market price
n = Number of coupon payments
Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.
First, let's calculate the semi-annual coupon payment:
Semi-annual coupon rate = 5.2% / 2 = 2.6%
Face value = $1000
Market price = $884
Number of years remaining until maturity = 10 years
Number of semi-annual coupon payments = 2 x 10 = 20
Semi-annual coupon payment = Semi-annual coupon rate x Face value
Semi-annual coupon payment = 2.6% x $1000 = $26
Now, we can calculate the yield to maturity using the formula:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100
YTM = 6.23%
Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.
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