Answer:
96x^2 - 108 - 663
Step-by-step explanation:
(8x + 17)(12x - 39)
96x^2 - 312x + 204x -663
96x^2 - 108 - 663
wiil give crown if right Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?
Answer:
42.3
Step-by-step explanation:
Turn 30% into decimal=0.30 then add both numbers=42.3
Hope it's correct if not sorry, but you can mark other person brainliest now! :)
1. Sam rolls a fair dice and flips a fair
coin. What is the probability of
obtaining an odd number and a head?
Use a sample space diagram to help.
See below for an example.
Answer:
Mark brainliest pls
Step-by-step explanation:
People have given you correct answers but not explained why, perhaps because it seems so obvious.
One of Bayes laws of probability says that if two events e1 and e2 are independent (unrelated), then the probability of both happening together is the product of their individual probabilities.
The die and the coin are independent events. Each is a 50% chance (odd number on a die, heads on a coin). Thus the probability of both happening together is 50% * 50% = 25%.
The probability of obtaining an odd number and a head is 1/4.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Let A be Sam rolls a fair dice.
Sample space, s = { [tex]1,2,3,4,5,6[/tex] }
⇒ [tex]n(s)=6[/tex]
An event A is obtaining an odd number, e = { [tex]1,3,5[/tex] }
⇒ [tex]n(e)=3[/tex]
The probability of A is obtaining an odd number,
[tex]P(A)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(A)=\frac{3}{6}[/tex]
⇒ [tex]P(A)=\frac{1}{2}[/tex]
Now, let B be Sam flips a fair coin.
Sample space, s = { [tex]H,T[/tex] }
⇒ [tex]n(s)=2[/tex]
An event B is getting a head, e = { [tex]H[/tex] }
⇒ [tex]n(e)=1[/tex]
The probability of B is getting a head,
[tex]P(B)=\frac{1}{2}[/tex]
Both A and B are independent events.
Thus the probability of obtaining an odd number and a head is
[tex]P(e)= P(A)P(B)[/tex]
⇒ [tex]P(e)=(\frac{1}{2})( \frac{1}{2} )[/tex]
⇒ [tex]P(e)=\frac{1}{4}[/tex]
Hence we can conclude that the probability of obtaining an odd number and a head is 1/4.
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Abdul uses 15 1/2 cups of flour to make 3 loaves of bread. At that rate, how many cups of flour would Abdul need to make 4 loaves of bread?
NO ANSWERS FROM UNKNOWN FILES OR I'LL REPORT IT!!!
the manager of a local recreational center wanted to determine the average amount each consumer spent on traveling to and from the center. on the basis of the findings, the manager was planning on setting the entrance fee. the management noted that customers living at the other side of town had to travel about 15 miles and spent about 20 cents per mile. the manager wanted to be 95% confident of the findings and did not want the margin of error to exceed /- 10 cents. what sample size should the manger use to determine the average travel expenditure
Answer:
The manager should use a sample size of 12 to determine the average travel expenditure
Step-by-step explanation:
Spent about 20 cents per mile. Distance of 15 miles
We have the mean per a distance, so we use the Poisson distribution. In this distribution, the standard deviation is the square root of the mean. So
[tex]\mu = 20*15 = 300, \sigma = \sqrt{300} = 17.32[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
What sample size should the manger use to determine the average travel expenditure?
This is n for which M = 10. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.96\frac{17.32}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 1.96*17.32[/tex]
[tex]\sqrt{n} = \frac{1.96*17.32}{10}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*17.32}{10})^2[/tex]
[tex]n = 11.52[/tex]
Rounding up
The manager should use a sample size of 12 to determine the average travel expenditure
A rectangular prism has a volume of 72 cubic units. How many unit cubes will fill the rectangular prism exactly?
a.12 unit cubes
b.36 unit cubes
c.24 unit cubes
d.72 unit cubes
Please answer soon
(2x+5)37 what is x
Answer:
74 x + 185
Step-by-step explanation:
Step-by-step explanation:
(2x+5)+37 - multiply 37 by 2x and then 37 by 5
which gives you a answer of 74x+185
Answer and explain deeply thank you so much! I’ll mark brainliest
According to a survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five. a. What is the probability of receiving no e-mails during an hour (to 4 decimals)
Answer:
the probability is 0.0067
Step-by-step explanation:
The computation of the probability of receiving no e-mails during an hour is shown below;
Let us assume x be the number of emails received during an hour
Now the probability of receiving no e-mails is
= e^-5 × 5^0÷ 0!
= e^-5 × 1 ÷ 1
= e^-5
= 0.00674
= 0.0067
Hence, the probability is 0.0067
I need help with my math assignment please
Answer:
angles 1 and 6
Step-by-step explanation:
Answer:
C. angle 2 and angle 7
Step-by-step explanation:
hope this helps, have a nice day :)
at time t, the position of a body moving along the s-axis is s=t^3 - 12t^2 + 36t m. Find the total distance traveled by the body from t=0 to t=3.
Answer:
27 m
Step-by-step explanation:
The position of a body is given by :
[tex]s=t^3 - 12t^2 + 36t[/tex]
We need to find the total distance traveled by the body from t=0 to t=3.
At t = 0,
[tex]s=0^3 - 12(0)^2 + 36(0)=0\ m[/tex]
At t = 3 s,
[tex]s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m[/tex]
So, the total distance from t=0 to t=3 is equal to 27 m.
Solve the following equation: *
Answer:
Step-by-step explanation:
x/3 + 6 = 17
Bringing like terms on one side
x/3 = 17 - 6
x/3 = 11
Dividing by 3 on both sides
x = 11/3
You started a dog walking business. You spent $45 in start up costs and charge $12 per hour of
dog walking. How many hours must you walk before you have a minimum of $117?
Answer:
7
Step-by-step explanation:
Find the value of x.
A
D
17
8
х
B.
15
O X
120
17
O X
17
120
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
Sue receives a monthly salary of $500. She also receives a sales commision of
8% of her total sales. Her total sales this week were $2,500. Find her
commission and total sales.
Answer:
2000 because you got to subtract
please help asap ! no scam links or scam comments for points or reported.
Answer:
C
Step-by-step explanation:
it is -25x X= each time he goes rock climbing
The domain of y = f(x) = _ is
(a) R - {0}
(b) R
(c) (-2,1)
(d) (-1.1)
Answer:
The domain of a function is the set of all possible x values that satisfy the equation. We cannot answer this question without first knowing what the equation for f(x) is.
Step-by-step explanation:
Take for example the function y = f(x) = [tex]x^{2} +3[/tex]. Here, you can plug in literally any value for x and still get our a real number. Thus, the domain of f(x) is (-∞, ∞).
However, if your function is y = f(x) = [tex]\frac{2}{\sqrt{x+3} }[/tex] , not every x value is acceptable. First, we cannot have the denominator (bottom part) of the fraction be zero, because division by zero is undefined. Thus, x = -3 is not an acceptable value for x.
We also cannot take the square root of a negative number. Thus, we have the rule that x + 3 must be greater than or equal to zero.
[tex]x+3 > 0\\\\x > -3\\[/tex]
Normally we would use greater than or equal to zero, but because this is in the denominator, we don't want it to equal zero (and thus x = -3 is not acceptable).
So, the domain of x is (-3, ∞). The parenthesis tell us we do not include the negative three and we do not include infinity. In other words, the domain of x is all numbers greater than -3 but less than infinity.
So, first look at your equation for f(x), then see which values of x don't break the rules of math like division by zero or square roots of negative numbers. Good luck!
Helga and Dora were solving the following problem together. A boat left Kyuquot and headed west at 15.5 km/h. A second boat left Kyuquot half an hour later and headed west at 18 km/h. For how many hours did the first boat travel before the second boat overtook it? Both girls used t to represent the time taken by the first boat. However, they disagreed on the equation to model the situation. Helga’s Equation Dora’s Equation 15.5t = 18(t + 0.5) 15.5t = 18(t - 0.5) a) Explain what the expression on each side of each equation represents. b) Which equation is correct? Explain. c) What is the solution to the problem?
Answer:
15.5t=18(t-0.5) is the correct answer
Step-by-step explanation:
if the first boat travels t time then the second traveld t-0.5 time to take over
The expression on each side of each equation represent the distance travelled. Hence, 15.5t=18(t-0.5) is the correct answer
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that boat left Kyuquot and headed west at 15.5 km/h.
A second boat left Kyuquot half an hour later and headed west at 18 km/h.
Helga’s Equation 15.5t = 18(t + 0.5)
Dora’s Equation 15.5t = 18(t - 0.5)
Therefore, if the first boat travels t time then the second travelled
t-0.5 time to take over
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The number N of bacteria present in a culture at time t (in hours) obeys the equation N = 1000e^0.01t After how many hours will the population equal 1500? 2000?
Answer: N(t) = (2^t)*1500
Step-by-step explanation:
Let's define the hour "zero" as the initial population.
So if N(t) is the number of bacteria after t hours, then:
N(0) = 1500.
Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1
N(1) = 2*1500 = 3000
after two hours, at t = 2.
N(2) = 2*(2*1500) = (2^2)*1500
After three hours, at t = 3
N(3) = 2*(2^2)*1500 = (2^3)*1500
So we already can see the pattern, the number of bacteria after t hours will be:
N(t) = (2^t)*1500
Is the graph increasing, decreasing, or constant?
O A. Constant
B. Decreasing
C. Increasing
Answer:
Decreasing because the line is going down meaning it is decreae
Answer this question for me please
Answer:
i believe the answer is D
Step-by-step explanation:
If y = 2/3x^2– 5x, what is the
value of x = 6
Please
Answer:
y=-29.98
Step-by-step explanation:
y=2/3(6)^2-5(6)
y=2/108-30
y=1/54-30
54y=1-1620
y=-1619/54
y=-29.98
You recently obtained a job with a sports analytics firm, and your first assignment is to write a report evaluating early evidence behind predictions for the 2019-20 NBA season. You will use your knowledge of hypothesis testing to assess the predictions. When conducting a hypothesis test for the population mean, you will not know the population standard deviation, so you will have to use the sample standard deviation instead. How will this affect the process
Answer:
It will affect the process in the sense that the sample population size will be unknown due to the fact that we don't know the population standard deviation.
Step-by-step explanation:
We are told that you do not know the population standard deviation. Thus, the sample population will not be able to be calculated because this sample standard deviation given will not suffice and we need the population standard deviation to be able to calculate the sample population size.
The absence of population standard deviation will result in performing the one mean t test. The one mean t test gives an insight of the deviation of values from the mean.
For the approval or rejection of the null hypothesis, hypothesis testing has been performed. For performing a test, a hypothesis has been assigned based on the results we wish to obtain. The rejection of null hypothesis leads to acception of the alternate hypothesis, while the approval of the null hypothesis results in the rejection of the alternate hypothesis.
For performing the null hypothesis test, there has been the first step to be the requirement of the hypothesis. The hypothesis has been tested based on the population size. And the test has been performed.
The absence of population standard deviation will result in performing the one mean t test.
The one mean t test gives an insight of the deviation of values from the mean. It has been used for the determination of random data sample, normal distribution, range of sampling.
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Alana has $80 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will she earn in 1 year?
Answer:
Answer:
I = $ 1,937.50
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.875%/100 = 0.03875 per year,
then, solving our equation
I = 10000 × 0.03875 × 5 = 1937.5
I = $ 1,937.50
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 3.875% per year
for 5 years is $ 1,937.50.
I hope this is correct and hope it helps!
-29= x + 8
what is x
Answer:
x=-37 (the answer should have a negative sign.)Step-by-step explanation:
To solve this problem, isolate the value of x from one side of the equation.
First, switch sides.
-29=x+8
x+8=-29
Then, subtract by 8 from both sides.
x+8-8=-29-8
Solve.
-29-8=-37
x=-37
Therefore, the final answer is x=-37.
Please please help!!!
Answer:
pretty sure its A
Step-by-step explanation:
An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder?
8.2 inches
10.4 inches
12.1 inches
23.6 inches
By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.
How to get the radius of the cylinder?
Remember that for a cylinder of radius R and height H the volume is:
[tex]V = 3.14*R^2*H[/tex]
In this case, the height is twice the radius, so we have:
H = 2R
[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]
And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:
[tex]3,500 in^3 = 6.28*R^3[/tex]
[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]
The approximate radius of the cylinder must be 8.2 inches.
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HELP ASAP!! I will give brainlist!! THANK YOU!
Answer:
dont trust me but i think its subtraction or division
Step-by-step explanation:
The sum of x and y is 280. If x + 8 is y, when will the value of x be the same for both equations?
Answer:
x = 136, y = 144
Step-by-step explanation:
x+y = 280
y = x +8
use substitution
x + x+8 = 280
2x = 272
x = 136
y= 136+8 = 144
Answer:
the answer is x=136
Step-by-step explanation:
x + y = 280
x + 8 = y (substitute this expression for y)
x + (x + 8) = 280
2x + 8 = 280
2x = 272 -> x = 136
to find y:
x + 8 = y
136 + 8 = y
144 = y
CHECK:
136 + 144 = 280
yes
Hakim is making birdhouses. Each birdhouse uses 7/8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses.
Answer: 4 3/8 yards of wood
Step-by-step explanation:
It would be 5 times the ammount needed for one birdhouse so it would be-
7/8 x 5= 35/8 or 4 3/8
An ant population began with 30 ants. From this point, the population
continuously increased by 4% each hour. Based on this model, how many
hours will it take the population to reach 100 ants?
Answer:about 5.3
Step-by-step explanation: