Answer:
9/26
Step-by-step explanation:
Answer:
Step-by-step explanation:
25-3 =22 have a cat or a dog
15 +16 =31 students are in the class if every person has either a cat or a dog
But we have 22
so 31 - 22 = 9 have both cat and dog
the probability is 9/25
Suppose Melissa borrows $3500 at an interest rate of 14% compounded each year,
Assume that no payments are made on the loan.
Do not do any rounding.
(a) Find the amount owed at the end of 1 year
(b) Find the amount owed at the end of 2 years.
PLEASE HELPPP!!!
A local arena is negotiating a contract with a tourist ice skating show, icey blades. Icey blades charge a flat fee for $60000 per night plus 40 percent of the gate receipts. The civic arena plans to charge one price of all seats $1.250 per ticket. A) Determine the number of tickets which must be sold each night in order to break even? B) what would nightly profit equal if average attendance in 7500 per night?
Answer:
To break even the local arena must sell approximately 70,589 tickets. They would have a loss of $47625.
Step-by-step explanation:
The cost per night of the Icey blades contract can be expressed as a function of the gate receipts, with the flat cost added by 40% of all the gate receipts sold. This expression is shown below:
[tex]cost(x) = 60000 +0.4*x[/tex]
Since each ticket costs $1.25, then the revenue of the arena can be shown as:
[tex]revenue(x) = 1.25*x[/tex]
In order to break even the revenue must be equal to the cost, so:
[tex]revenue(x) = cost(x)\\1.25*x = 60000 + 0.4*x\\1.25*x - 0.4*x = 60000\\0.85*x = 60000\\x = \frac{60000}{0.85} = 70,588.24[/tex]
To break even the local arena must sell approximately 70,589 tickets.
If the average attendance was 7500 per night, the profit would be:
[tex]profit = revenue(7500) - cost(7500)\\profit = 1.25*7500 - 60000 + 0.4*7500\\profit = 9375 - 60000 + 3000\\profit = -47625[/tex]
They would have a loss of $47625
What is the value of x the triangle? PLS HELP
-- This is a right triangle. So you KNOW that
(one leg)² + (other leg)² = (hypotenuse)²
-- Also, since the acute angles are equal, the legs must be equal ... both x .
-- Plugging into the formula:
x² + x² = (4)²
2x² = (4)²
2x² = 16
x² = 8
√x² = √8
x = √8
x = √(4 · 2)
x = √4 · √2
x = 2 · √2
(That's choice D)
Find the inverse of the following function: f(x) = 8√x for x ≥ 0
Answer:
Step-by-step explanation:
Rewrite the function f(x) = 8√x as y = 8√x.
To find the inverse function, do the following:
1) Interchange x and y. We get x = 8√y
x x^2
2) Solve this result for y: (x/8) = √y => y = ( -------- )^2, or y = ---------
8 64
3/(2x-1)+4=6x/(2x-1)
X=?
which linear is represented by the graph?
What expression has the same meaning as 3 5/4?
Answer:
C)
Step-by-step explanation:
The whole number goes on the inside of the radical and is raised to the 5 power. The 4 is on the outside.
:)
ok first person to answer my question will get marked as the brainliest answer and i will give you a thanks and a like. Each square below represents one whole. A square divided in 25 equal parts, all 25 of which are shaded Another square divided in 25 equal parts, 13 of which are shaded What percent is represented by the shaded area?
Answer:
76%
Step-by-step explanation:
First, we need to see how many total squares (parts) there are. There are 50.
Now, we need to see how many parts are shaded. So, 13 plus 25 will give us 38.
Our fraction is 38/50, which is 76%.
Hope this helped!
Answer: 76 percent
Step-by-step explanation:
We have two squares divided into exactly 25 indentical parts
In the first one 25 squares are shaded wich means 25/25
The second one we only 13 shaded square wich means 13/25
So in total we have 50 squares with 38 shaded ones
Wich means 38/50
38/50= 0.76
Multiply bu 100 to get the percentage wich 76 percent
Tagall
er travels at an average speed of 64 miles per hour. How many miles does it travel in 4 hours and 45 minutes?
Answer:
304 miles
Step-by-step explanation:
Distance = rate times time
changing 4 hours 45 minutes to decimal form
4 45/60 = 4.75
D = 64 mph * 4.75
=304 miles
Flying against the wind, a jet travels 3000 miles in 4 hours. Flying with the wind, the same jet travels 7500 miles in 6 hours. What is the rate of the jet in still air and what is the rate of the wind? g
Answer:
The rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.
Step-by-step explanation:
Flying against the wind, the speed of the airplane is 750 miles per hour (3000/4), while flying with a downwind, its speed is 1500 miles per hour (7500/6). Therefore, the difference between the two speeds is 750 miles per hour, so since the distance traveled is the same, the midpoint between the two speeds is 375 miles per hour. Then, without wind, the plane would travel the same distances at a speed of 1125 miles per hour.
In conclusion, the rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.
The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.10. If there are ten questions and questions are marked independently, what is the probability that no errors are made
Answer:
0.9^10
Step-by-step explanation:
The probability to make an error in 1 question =0.1 => The probability that this one particular question will be answered correctly is P=1-0.1=0.9
There are 10 questions that are independent from each other .
The probability to be answered correctly is 0.9 each. So the probability to answer correctly to all of them is
P(10quest=correct) =0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9=0.9^10
What is the equation of a line that goes through the point (0, 2) and has a slope of 1?
Answer: y=x+2
Step-by-step explanation:
The slope-intercept equation is y=mx+b. The m is slope, and the b is the y-intercept. Since we are given the slope, we can fill it into m. We also know that the y-intercept is on the y-axis, meaning the x-coordinate is 0. The point we were given is (0,2). This means the y-intercept is 2. Our equation is y=x+2.
Answer:
y=x+2
Step-by-step explanation:
Slope intercept form is:
y=mx+b
where m is the slope and b is the y-intercept.
We know that this line has a slope of 1. Therefore, we can substitute 1 in for m.
y=1x+b
1x is equal to just x, so change 1x to x.
y=x+b
Now we must find the y-intercept, or b.
Y-intercepts are where the line crosses the y axis. The x-coordinate is always a 0.
Therefore, (0,y) is the coordinates of a y-intercept, and the "y" is the y-intercept.
We are given the point:
(0,2)
Since the x-coordinate is a 0, the y-intercept is 2. Substitute 2 in for b.
y=x+b
y=x+2
The equation of the line is y=x+2
What is the solution to the inequality below?
x < 5
A. x< 25 or x>-25
B. x < 25 or x>0
O C. x< 25 and x > 0
O D. x < 25 and x>-25
Answer:
C. x < 25 and x ≥ 0
Step-by-step explanation:
Fastest and easiest way to do this is to graph the inequality and find out the lines.
A baseball card collector buys and opens 360 packs of 1989 Fleer baseball cards. He is told that there is a 2.3% chance of anyone pack containing the coveted Billy Ripken error card. Find the mean and standard deviation of the random variable "number of Billy Ripken error cards ound", where n-360
Answer:
Mean: 8.28
Standard deviation: 2.84
Step-by-step explanation:
This random variable "number of Billy Ripken error cards found" can be described by the binomial distribution, with sample size n=360 (number of packs) and probability of success p=0.023 (probabillity of a pack containing the coveted Billy Ripken error card).
Then, the mean and standard deviation are calculate as for the binomial distribution:
[tex]\mu=np=360\cdot 0.023=8.28\\\\\sigma=\sqrt{np(1-p)}=\sqrt{360\cdot 0.023\cdot 0.977}=\sqrt{8.08956}\approx2.84[/tex]
how do you graph y=–7/3x+2. PLEASE HELP ME
Graph the line using the slope and y-intercept, or two points.
Slope: -7/3
y-intercept: 2
Please mark me as brainliest if possible. Stay safe and God bless you!!
<3
- Eli
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
The product of 6 and a number.
The product of 6 and a number.
9q + –23 = –77 q = _______
Answer:
q = -6
Step-by-step explanation:
given:
9q + (–23) = –77 (add 23 to both sides)
9q = -77 + 23
9q = -54 (divide both sides by 9)
q = (-54)/9
q = -6
PLEASE ANSWER U NEED HELP!! determine which numbers The equations need to be multiplied by to form opposite terms of the y variable. 3x - 1/4y equals 15 2/3x - 1/6y equals 6 which number should be the first equation be multiplied by? which number should the second equation be multiplied by?
Answer:
4 -6
Step-by-step explanation:
have a great day!
Multiply the first equation by 2/3 and the second equation by -1.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
3x - (1/4)y = 15
(2/3)x - (1/6)y = 6
Multiply the equation 1 by 2/3, then we have
(2/3) · 3x - (2/3) · (1/4)y = (2/3) · 15
x - (1/6)y = 10
Multiply the equation 2 by -1, then we have
(-1) · (2/3)x - (-1) · (1/6)y = (-1) · 6
- (2/3) x + (1/6)y = - 6
Multiply the first equation by 2/3 and the second equation by -1.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ3
Pls help me I really need help
Answer:
26 - 7(n-1)
Step-by-step explanation:
subtract n times 7 from the start value.
But if we want to call the first term n=1, we have to subtract 1 from n.
I need to find for both f(-1) and f(1) it’s
Answer:
f(-1) = -8
f(1) = -12
which of the following is the correct factorization of the trinomial below?
-7x^2 + 5x + 12
a. 7(x+1) (-x + 12)
b. -1 (7x - 12) (x+1)
c. (-7x + 12) (x - 1)
d. -7 (x - 6) (x+1)
Answer:
The answer is option B.
Hope this helps you
Answer:
The answer is B
Step-by-step explanation:
I NEED HELP PLEASE, THANKS! :)
Answer:
2444
Step-by-step explanation:
The total cost is the integral of the marginal cost.
[tex]\displaystyle C=\int_{144}^{625}{\dfrac{94}{\sqrt{x}}}\,dx=\left. 2\cdot 94\sqrt{x}\right|_{144}^{625}=188(25 -12)=\boxed{2444}[/tex]
The total cost of producing units 144 through 625 is 2444.
_____
If all you need is a number, a graphing calculator can give you that.
Write and solve the equation and then check your answer. A number increased by twenty-six is forty-two. Which statements are correct? Check all that apply. This is an addition problem. This is a subtraction problem The correct equation is s + 26 = 42. The correct equation is s – 26 = 42. To solve the equation, add 26 to both sides. To solve the equation, subtract 26 from both sides.
Answer:
equation= s+26=42
to solve,subtract 26 from both sides
Step-by-step explanation:
lets say the number is S
to increase is to add
S+26=42
solution
S+26(-26)=42-26
S=16
Answer:
A: This is an addition problem.C: The correct equation is s + 26 = 42. F: To solve the equation, subtract 26 from both sides.Explanation: Correct on Edg 2020.
A grocery store estimates that customers arrive at the rate of 15 per hour. The cashier can serve customers at a rate 20 per hour. Calculate the average number of customers in a line. Group of answer choices
Answer:
The average number of customers in a line = 2.25
Step-by-step explanation:
We are given;
Mean arrival rate;a = 15 customers per hour
Mean service rate;s = 20 customers per hour
Now, we want to find the average number of customers in the line. It is given by the formula;
N_q = a(W_q) = a²/(s(s - a)
Plugging in relevant values, we have;
N_q = 15²/(20(20 - 15))
N_q = 225/100
N_q = 2.25
Apples were selling for $.26 a pound Jessica spent $3.77 on apples how many pounds of apples did Jessica buy
Answer:
14.5 pounds of apples.
Step-by-step explanation:
$3.77 ÷ $.26 = 14.5
Apples = 14.5 pounds
Hope this helps! :)
A labourer is paid Rs per hr for an
8- hr day and1/2 times the rate for
each hour in excess of 8 hrs in a
sigle day the received
Rs.80 for a single days work, how
long did he work on that day?
Complete question is;
A labourer is paid rs. 8 per hour for an 8 hour day and ½ times that rate for each hour in excess of 8 hours in a single day. if the labourer received rs. 80 for a single day's work, how long did he work on that day?
Answer:
Total working time for the day = 12 hours
Step-by-step explanation:
Money paid to the labourer for initial 8 hrs of work = 8 × 8 = rs. 64.
Now, we are told that he receives rs. 80 in total for that day. And that he receives ½ times the initial rate for each extra hour after the initial 8 hour period.
Thus;
½ × 8 × y = (80 - 64)
Where y is the duration of extra hours.
So;
4y = 16
y = 16/4 hours
y = 4 hours
Now, since extra hours = 4 hours and normal working hours = 8 hours.
Then, total working time for that day = 8 + 4 = 12 hours
Making handcrafted pottery generally takes two major steps: wheel throwing and firing. The time of wheel throwing and the time of firing are normally distributed random variables with means of 40 minutes and 60 minutes and standard deviations of 2 minutes and 3 minutes, respectively. Assume the time of wheel throwing and time of firing are independent random variables.
A) What is the probability that a piece of pottery will befinished within 95 minutes?
B) What is the probability that it will take longer than 110minutes?
Answer:
a) 8.23% probability that a piece of pottery will be finished within 95 minutes
b) 0.28% probability that it will take longer than 110 minutes.
Step-by-step explanation:
Normal distribution:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Two variables:
Means [tex]\mu_{a}, \mu_{b}[/tex]
Standard deviations [tex]\sigma_{a}, \sigma_{b}[/tex]
Sum:
[tex]\mu = \mu_{a} + \mu_{b}[/tex]
[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}}[/tex]
In this question:
[tex]\mu_{a} = 40, \mu_{b} = 60, \sigma_{a} = 2, \sigma_{b} = 3[/tex]
So
[tex]\mu = \mu_{a} + \mu_{b} = 40 + 60 = 100[/tex]
[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}} = \sqrt{4 + 9} = 3.61[/tex]
A) What is the probability that a piece of pottery will befinished within 95 minutes?
This is the pvalue of Z when X = 95.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{95 - 100}{3.61}[/tex]
[tex]Z = -1.39[/tex]
[tex]Z = -1.39[/tex] has a pvalue of 0.0823
8.23% probability that a piece of pottery will befinished within 95 minutes.
B) What is the probability that it will take longer than 110 minutes?
This is 1 subtracted by the pvalue of Z when X = 110.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 100}{3.61}[/tex]
[tex]Z = 2.77[/tex]
[tex]Z = 2.77[/tex] has a pvalue of 0.9972
1 - 0.9972 = 0.0028
0.28% probability that it will take longer than 110 minutes.
If $\sqrt{5+n}=7$, then what is the value of $n$?
Answer:
44
Step-by-step explanation:
We can solve the equation by simplifying it.
[tex]$\sqrt{5+n}=7$[/tex], let's square both sides.
[tex]5+n = 49[/tex]. Now lets subtract 5 from both sides.
[tex]n = 44[/tex].
Hope this helped!
Answer:
44
Step-by-step explanation:
[tex]\sqrt{5+n}=7\\\\5+n=7^2=49\\\\n=49-5\\\\\boxed{n=44}[/tex]
what is 4 to the square root of 2
Answer:
7.10299
Step-by-step explanation:
[tex]4^{\sqrt{2} }[/tex] is best evaluated in a calc.
Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 36 inches and its width is 15 inches. Round your final answer to one decimal place.
Answer:
39 inches
Step-by-step explanation:
sqrt(15^2 + 36^2) = 39