Answers
Answer:
6/7 or 85.7%Step-by-step explanation:
As per table experimental probability of sum of two numbers > 5 is 6 out of 7.
So in number, the probability is:
p = 6/7 or 85.7%Related Questions
write the log equation as an exponential equation
Answers
Given:
The equation is:
[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]
To find:
The exponential equation of the given logarithmic equation.
Solution:
We have,
[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]
According to property of logarithm,
[tex]\log_ax=b\Leftrightarrow x=a^b[/tex]
Using the property of logarithm, we get
[tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex]
Therefore, the required exponential equation is [tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex].
What percent of 315 of 126.
Answers
Answer:
396.9
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
126/315
126/315×100/100=40/100
40
Find the HCF of 30x²y²z³
Answers
Answer:
The greatest common factor or highest common factor of any set of numbers is the largest possible number which divides both the numbers exactly. HCF of 24 ..
Step-by-step explanation:
A publisher reports that 35% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 190 found that 32% of the readers owned a laptop. Is there sufficient evidence at the 0.10 level to support the executive's claim
Answers
Answer:
The pvalue of the test is 0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim
Step-by-step explanation:
A publisher reports that 35% of their readers own a laptop.
This means that the null hypothesis is:
[tex]H_0: p = 0.35[/tex]
A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.
This means that the alternate hypothesis is:
[tex]H_{a}: p \neq 0.35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.35 is tested at the null hypothesis:
This means that [tex]\mu = 0.35, \sigma = \sqrt{0.35*0.65}[/tex]
A random sample of 190 found that 32% of the readers owned a laptop.
This means that [tex]X = 0.32, n = 190[/tex]
Z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.32 - 0.35}{\frac{\sqrt{0.35*0.65}}{\sqrt{190}}}[/tex]
[tex]z = -0.87[/tex]
pvalue of the test and decision:
As we are testing that the mean is different from a value and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -0.87
Looking at the z-table, z = -0.87 has a pvalue of 0.1922
2*0.1922 = 0.3844
0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim
The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $48, balcony tickets are $45, and mezzanine tickets are $34. One particular night, sales totaled $65,140. There were 381 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 328 more than 2 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
I already have these equations: 48x+45y+34z=65140, x=y+z+381, y=2x+328, but I can't figure out how to substitute them.
Answers
Answer: In this problem, you have three unknowns: broadway tickets for the (1) main floor, (2) balcony and (3) mezzanine. To solve algebraic equations, the total number of unknowns must be the same with the number of independent equations. With that, let's formulate these three equations.
Let the 3 unknowns be
x = number of tickets for the main floor
y = number of tickets for the balcony
z = number of tickets for the mezzanine
The independent equations are:
59x+50y+40z=73,785 --> eq 1
x = y+z+435 --> eq 2
y = 78 + 33 z ---> eq 3
Solve the equations simultaneously. Substitute eq3 to eq 2
x = 78+33z+z+435
x = 513+34z --> eq 4
Substitute eq 4 and eq 3 to eq 1
59(513+34z)+50( 78 + 33 z)+40z=73,785
Solve for z using the calculator: z = 11
Use eq 4 to find x: x = 877
Use eq 2 to find y: y = 432
There were 877 main floor tickets, 432 balcony tickets and 11 mezzanine tickets sold.
Step-by-step explanation:
Answer:
Main floor - 892, balcony - 450, mezzanine- 61Step-by-step explanation:
Main floor - x, balcony - y, mezzanine- zEquations:
48x + 45y + 34z = 65140 ↔ (1)x = 381 + y + z ↔ (2)y = 2z + 328 ↔ (3)Substitute (3) into (2):
x = 381 + 2z + 328 + z ⇒ x = 3z + 709 ↔ (4)Substitute (2) and (4) into (1) and solve for z:
48(3z + 709) + 45(2z + 328) + 34z = 65140144z + 48*709 + 90z + 45*328 + 34z = 65140268z + 34032 + 14760 = 65140268z = 65140 - 48792268z = 16348z = 16348/268z = 61Find x and y:
x = 3z + 709 = 3*61 + 709 = 892y = 2z + 328 = 2*61 + 328 = 450On Mother’s Day, 86 children were interviewed, and 15 said they were going to buy a chocolates for their mother, 25 said they were going to take their mother for vacation and 18 said they were going to buy their mother roses. Of these, 8 said they were going to buy a chocolate and take their mother for vacation. Five said they were going to buy both chocolate and roses, and eleven said they were going to buy their mother roses and take their mother for vacation. Only two children said they were going to treat their mother to all three, but chocolates, roses and take for vacations.
i. Illustrate the situation above with the Venn diagrams.
ii. How many children are going to buy chocolates and take their mother for vacation but not
buy them roses.
Answers
Answer:
do you need the answer?
Step-by-step explanation:
?
.15 x (4.3 - 2.417 )
Answers
Answer:
28.24500
Step-by-step explanation:
If you car gets 25 mpg (miles per gallon), how many gallons do you need to buy to drive 375 miles?
Answers
Answer:15
Step-by-step explanation:
375/25=15
Answer:
The answer is 15.
375 ÷ 25 = 15.
Hope this helps!!
For large parties, a restaurant charges a reservation fee of $30, plus $20 per person. The total charge for a party of x people is f(x) = 20x + 30. How will the graph of this function change if the reservation fee is raised to $65 and the per-person charge is lowered to $12?
Answers
A chord that is 24 cm long is 4 cm closer to the center of a circle than a chord that is 20 cm long. What is the radius of the circle?
Answers
Answer:
(mkkwkskskwkwskskwkwi
What the equation for y.
2y + 2x = 4
A. y = -x + 2
B. y = 2x + 4
C. y = -x-2
D. y = x + 2
Answers
Answer:
A
Step-by-step explanation:
first move the 2x to the other side and you get 2y=4-2x, then you divide the entire equation by 2 and get y=2-x, which when re arranged is y = -x+2.
y+x=2
y=-x +2
(the only one possible) A
According to the Insurance Institute for Highway Safety, the national rate for 16-year-old males was 210 accidents for every 1000 drivers (21%) during the year 2000. In a large city in the Midwest, a random sample of 150 16-year-old male drivers found that 25 of them had been in an accident during the year 2000. Does this city have a lower proportion of accidents by 16-year-old male drivers than the national proportion?
Answers
Answer:
Yes. The city has a lower proportion of accidents by 16-year-old male drivers than the national proportion (16.7% compared to 21%).
Step-by-step explanation:
a) Data and Calculations:
Number of 16-year-old males involved in driver accident during year 2000 = 210
Sample number of drivers = 1,000
National rate of accidents for 16-year-old males for every 1,000 drivers = 21% (210/1,000 * 100)
Random sample of 16-year-old male drivers in a Midwest city = 150
Number of them involved in driver-accidents = 25
Proportion of 16-year-old males involved in driver-accidents = 25/150 * 100 = 16.7%
The city's 16.7% proportion is lower than the national proportion of 21%.
Please Help please .
Answers
Answer:
i believe the answer is y =5
(13)^2 = (12)^2 +( y)^2
169= 144 + y^2
169-144= y^2
25= y^2
5 = y
Convert the angle 2π/3 radians to degrees.
Answers
Answer:
2π/3 radians is equal to 120°.
Step-by-step explanation:
In this problem, we need to convert the angle 2π/3 radians to degrees.
The relation radian and degree is given by :
[tex]D=\dfrac{180}{\pi}\times R[/tex]
Substitute all the values,
[tex]D=\dfrac{180}{\pi}\times \dfrac{2\pi }{3}\\\\D=120^{\circ}[/tex]
So, 2π/3 radians is equal to 120°.
Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
3, 1, 5, 4, 8,6
Answers
Answer:
134568
Step-by-step explanation:
go go go
diameter 32 inches what is the raidus
Answers
g Company A and Company B both produce a part used in a 3D Printer. A random sample of 9 parts from Company A results in a sample mean equal to 128.2 ft-lbs and a sample standard deviation 17.8 ft-lbs. A random sample of 8 parts from Company B gives a sample mean equal to 138.4 ft-lbs and a sample standard deviation 14.9 ft-lbs. If you do a test of hypothesis to see if the population variances of Company A and Company B parts are equal or not, what is the numerical value of the test statistic
Answers
Answer:
The value of test statistic is F = 1.427
Step-by-step explanation:
The given data is
n1=9; s1=17.8
n2=8 s2=14.9
1) And significance level is chosen to be α = 0.05.
2) The null and alternate hypothesis are
H0: σ₁²=σ₂² against the claim Ha: σ₁²≠σ₂²
The null hypothesis the population variances of Company A and Company B parts are equal.
against the claim
the population variances are not equal of the two companies.
3) The critical region F∝(υ1,υ2) = F(0.025)8,7 > 4.9
where υ1= n1-1= 9-1= 8 and υ2= n2-1= 8-1= 7
4)Test Statistic
F = s₁²/s₂²
F= 17.8²/ 14.9²= 1.427
5) Conclusion :
As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the population variances of Company A and Company B parts are not equal. Hence Ha is rejected and H0 is accepted.
Can someone please help me find the area of the figure.
Answers
Answer:
area = 41 ft²
Step-by-step explanation:
area = (3x3) + (4x8) = 41 ft²
What is the length of BC?
5
12
A.7
B.12
C.13
D.17
Answers
Answer:
its A. 7
Step-by-step explanation:
Need help ASAP! Thanks
Answers
Answer:
A = 1, B = 1
Step-by-step explanation:
From the question
(2x+1)/(x²+x) = A/x + B/(x+1)
(2x+1)/(x²+x) = [A(x+1)+(Bx)]/(x²+x)
Equation the numerator
2x+1 ≡ A(x+1) +Bx
2x+1 ≡ Ax+A+Bx
From the above,
A = 1.
And,
2x = Ax+Bx................ Equation 1
A+B = 2
Substitute the value of A into Equation 1
1+B = 2
B = 2-1
B = 1
Which of the following values of f are solutions to the inequality below?
Select all that apply.
Answers
Answer:
-4 is your answer
Step-by-step explanation:
Look at the equation.
3+4(5−x)=19−4x+4
How many solutions does the equation have? Explain your answer.
Answers
Answer:
infinite solutions
Step-by-step explanation:
3+4(5−x)=19−4x+4
Distribute
3 +20 -4x = 19 -4x +4
Combine like terms
23 -4x = 23 -4x
Add 4x to each side
23-4x+4x = 23-4x+4x
23 =23
This is always true so there are infinite solutions
Find the exact value of x. Do the sides lengths form a Pythagorean triple?
Answers
Use Pythagorean theorem.
We have A and C.
Subtract 81 from 576 to get 495.
To find x, un square both sides to get
About 22.2485955
Or 22.2 or 22 depending if we round.
Question Help
Fund A sells for $15 a share and has a 3-year average annual return of $0.25 a share. The beta value is 1.07.
Fund B sells for $17 a share and has a 3-year average annual return of $0.91 a share. The beta value is 0.77.
Jonquin wants to spend no more than $3600 investing in these two funds, but he wants to obtain at least $80
in annual revenue. Jonquin also wants to minimize the risk. Determine the number of shares of each fund that
Jonquin should buy.
Set up the linear programming problem. Let a represent the number of shares in Fund A, b represent the
number of shares in Fund B, and z represent the total beta value.
Minimize
z=0
subject to
15a + 17b
0.25a +0.91b
a 20, b20.
(Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)
Answers
Answer:
sana all may jowa jowain na kita
Help please thank you
Answers
Answer:
In the explanation :)
Step-by-step explanation:
So if we have 1 cup of raisins, then we have 2 1/2 cups of pretzels. Since we doubled the raisins, we double the pretzels as well.
I believe this is right but I'm not sure anymore with today's math
please help!! will give brainliest ASAP
Answers
Answer:
c = 36.06
Step-by-step explanation:
a² + b² = c²
20² + 30² = c²
400 + 900 = c²
c² = 1300
[tex]\sqrt{c^2} =\sqrt{1300}[/tex]
c = 36.06
10. Clifford Waxman purchased a snowmobile for $3,467. He made a 35 percent down payment and financed the
remainder. What amount did he finance?
$2,521.00
c. $2,345.44
b. $2,253.55
d. $2,433.11.
a.
Answers
Answer:
$3467 - $1213.45 (35%)
B
Find the values of X and why. Dragon drop the answers into the box is below.
Answers
Answer:
1 3/4 1
Step-by-step explanation:
How are you today? Have you had anything to eat? What's ur fav color? I'm just here to talk. I hope everyone has been staying safe!
Answers
Answer:
How are you today?
im good
Have you had anything to eat?
hot pocket
What's ur fav color?
Blue and Black
I'm just here to talk. I hope everyone has been staying safe!
Step-by-step explanation:
The histogram below shows the number of push-ups the students in Hayley's class can do.
Select all of the true statements about the data.
The majority of students can do more than 15 push-ups.
The data distribution is skewed to the right.
More students did 6-10 push-ups than 11-15 push-ups.
The students in Hayley's class can do between 1 and 25 push-ups.
The data distribution is skewed to the left.