Answer:
A. x = -5, 4
Step-by-step explanation:
0 = x^2 + x -20
0 = (x + 5)(x - 4)
x = -5, 4
Answer: x=-4 and x=5
Step-by-step explanation:
0 = x^2 + x -20
0 = (x + 5)(x - 4)
then to find the zeros we should switch the signs so the answer is :
-4,5
Find the volume of the cylinder below (using 3.14 for p).
- Include the equation you are using.
- Show all work to get your answer.
- Round your answer to the nearest tenth.
Make sure to label your answer appropriately.
==========================================================
Work Shown:
d = 8.4 is the diameter
r = d/2 = 8.4/2 = 4.2 is the radius
h = 14.5 is the height
V = pi*r^2*h = volume of cylinder
V = pi*(4.2)^2*14.5
V = pi*255.78
V = 255.78pi = exact volume in terms of pi
V = 255.78*3.14
V = 803.1492
V = 803.1 ... round to one decimal place
The units for the volume are in cubic meters which we can abbreviate as "m^3"
What operation does the Product Rule use
with the exponents? A) Addition
B) Subtraction
C) Multiplication
D) Division
Answer:
Multiplication
Step-by-step explanation:
Simplify the expression by combining like terms. Write the terms in alphabetical order of the variables.
X+20y-2z+19x-2y+19z
Answer: [tex]20x+18y+17z[/tex]
Step-by-step explanation:
[tex]x+20y-2z+19x-2y+19z\\(x+19x)+(20y-2y)+(-2z+19z)\\20x+18y+17z[/tex]
Mark ordered a square pizza that has a side length of 12 inches Rodney ordered a round pizza with a 12 inch diameter each of them paid seven dollars for their pizza you got the better deal
Answer:
Square pizza is the better deal.
Step-by-step explanation:
The better deal will be the one that has larger area of pizza. So, find the area of pizza in the case of square pizza and in the case of round pizza.
Below is the calculation of area of pizzas.
[tex]\text{Area of square pizza} = (Side)^{2} \\\text{Area of square pizza} = (12)^2 \\\text{Area of square pizza} = 144 \ in^2 \\[/tex]
[tex]\text{Now area of round pizza.} \\\text{ The area of round pizza} = \pi r^{2} \\\rm Diameter = 12 \\So, \ radius = \frac{12}{2} = 6 \\\text{ The area of round pizza} = \pi r^{2} \\= \frac{22}{7}\times (6)^2 \\= 113.1 \ in^2[/tex]
Since the area of square pizza is greater than round pizza. Thus, square pizza is better deal.
Suppose that a magazinemagazine predicted that Candidate A would defeat Candidate B in a certain election. They conducted a poll of telephone directoriestelephone directories with a response rate of 23%. On the basis of the results, the magazinemagazine predicted that Candidate A would win with 57% of the popular vote. However, Candidate B won the election with about 62% of the popular vote. At the time of this poll, most households with telephoneshouseholds with telephones belonged to the party of Candidate A. Name two biases that led to this incorrect prediction.
Choose the correct answer below.
A.
Sampling bias Using an incorrect frame led to undercoverage.
Response bias: The way the poll was administered showed bias
B.
Sampling bias: Using an incorrect frame led to undercoverage
Nonresponse bias: The low response rate caused bias
C.
Nonresponse bias: The low response rate caused bias.
Response bias: The way the poll was administered showed bias.
Answer:
im pretty sure its B
Step-by-step explanation:
please help with this
Answer:
Width = 3x^2 + 5
Step-by-step explanation:
Area = Length*Width
(6x^2+10)=2*Width Divide both sides by 2
3x^2+5 = Width
Answer:
3x^2 +5
Step-by-step explanation:
Take the pink area 6x^2 and divide by 2
6x^2/2 = 3x^2
Take the blue area and divide by 2
10/2 = 5
Add them together to find the width
The width is 3x^2 +5
Ms. Wong's class had 11 girls and 14 boys. What is the probability that a girl will get the infection first and then a boy ?
Answer: 25,67%
Step-by-step explanation:
We have 11 girls and 14 boys, this is a total of 11 + 14 = 25 students.
If all the students have the same probability of being infected, the probability that a girl will get infected first is equal to the number of girls dividedthe total number of students:
p1 = 11/25
Now we get a boy infected, the number of boys is 14, and the total number of students is now 24 (because we already have a girl infected)
this probability is p2 = 14/24
The probability for both events is equal to the product of the probabilities:
P = p1*p2 = (11/25)*(14/24) = 0.2567
or 25,67%
On a map, 4 inches represents an actual distance of 24 miles. If the actual distance between two cities is 126 miles, how many inches apart will the two cities be on the map
Answer:
21 inches
Step-by-step explanation:
1 inch = 6 miles
126/6 = 21
There are 8 blue marbles, 6 red marbles, and 4 white marbles in a jar. if a marble is selected at random from the jar, what is the probability that it is not red?
Answer:
44
Step-by-step explanation:
is 2x^2+y =3x - 1 a function quadratic
Answer:
Step-by-step explanation: yes because when rewritten in standard form the x term will still be raised to the 2nd power.
What’s the correct answer for this?
Answer:
D.
Step-by-step Explanation:
In the attached file
In a recent study of statistics students, a random sample of students were asked to provide the number of hours per week they spend studying for their statistics class. The results were used to compute confidence intervals for the population mean hours per week spent studying for statistics. The 95% confidence interval for the population mean hours per week that students spend studying for statistics was (6.83, 8.27). In this confidence interval, what is the sample mean (x bar) hours per week spent studying for statistics? Provide your answer as a number rounded to two decimal places.
Answer:
The sample mean hours per week spent studying for statistics is 7.55 hours.
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean μ is:
[tex]CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}[/tex]
The 95% confidence interval for the population mean hours per week that students spend studying for statistics was (6.83, 8.27).
Compute the sample mean hours per week spent studying for statistics as follows:
[tex]\frac{\text{UL + LL}}{2}=\frac{(\bar x+ z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}})+(\bar x- z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}})}{2}\\\\\frac{8.27+6.83}{2}=\frac{2\cdot \bar x}{2}\\\\7.55=\bar x[/tex]
Thus, the sample mean hours per week spent studying for statistics is 7.55 hours.
Carol rolled a dice 150 times she rolled a 6 29 times use carols data to estimate the probability of rolling a six with this dice give your answer as a fraction
A cohort study is conducted to assess the association between clinical characteristics and the risk of stroke. The study involves n = 1370 participants who are free of stroke at the study start. Each participant is assessed at study start (baseline) and every year thereafter for 5 years. The following data were collected relating hypertensive status measured at baseline to incident stroke over 5 years.Free of Stroke at 5 years StrokeBaseline: Not hypertensive 1000 50Baseline: Hypertensive 300 501. Compute the cumulative incidence of stroke in patients classified as hypertensive at baseline.A) 0.20B) 0.50C) 0.0625D) 0.05
Answer:
None of the options are correct.
The cumulative incidence of stroke in patients classified as hypertensive at baseline = 0.625
Step-by-step explanation:
The table properly drawn is that
Baseline - Not hypertensive
Free of stroke at 5 years | Stroke | Total
1000 | 50 | 1050
Baseline - Hypertensive
Free of stroke at 5 years | Stroke | Total
300 | 501 | 801
Compute the cumulative incidence of stroke in patients classified as hypertensive at baseline.
Number of patients classified as hypertensive at baseline = 801
number of stroke incidents amongst patients classified as hypertensive at baseline = 501
The cumulative incidence of stroke in patients classified as hypertensive at baseline = (501/801) = 0.625
Hope this Helps!!!
What is the simplest form of StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot ?
Answer:
b
Step-by-step explanation:
Answer:
The Correct Answer is b
Step-by-step explanation:
Correct on Edg 2020
heart and give me a good rating if you dont mind ;)
Will mark u brainliest
15 points!!!!
Class 9 math
Answer:
[tex]\frac{3375}{512}[/tex] or ≈6.59
Step-by-step explanation:
We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.
Take [tex]25\frac{3}{2}[/tex] for example. The '2' in the fraction means we must take the square of 25. √25 = 5.
The '3' in the fraction means we take the power, which means we must cube '5'.
5³ = 125. Therefore, [tex]25\frac{3}{2}[/tex] = 125. Use this process for the other numbers:
[tex]25^{\frac{3}{2} } = 125\\243^{\frac{3}{5} } = 27\\16^{\frac{5}{4} } = 32\\ 8^{\frac{4}{3} } = 16[/tex]
The new fraction would look like:
[tex]\frac{125 * 27}{32 * 16}[/tex]
Which simplifies to:
[tex]\frac{3375}{512}[/tex] or ≈6.59
Answer:
Step-by-step explanation:
(25) raise to 3/2 = (5^2) raise to 3/2 and 2 gets cancelled when the bracket is opened which leaves 5^3.
(243) raise to 3/5 = (3^5) raise to 3/5 and 5 gets cancelled when the brackets are opened which leaves 3^3.
(16) raise to 5/4 = (2^4) raise to 5/4 and 4 gets cancelled when the bracket is opened which leaves 2^5.
(8) raise to 4/3 = (2^3) raise to 4/3 and 3 gets cancelled when the brackets are opened which leaves 2^4.
5^3 * 3^3 divided by 2^5 * 2^4
= (5 x 3)^ 3 / 2^5+4 [∵a^m x b^m = (ab)^m] & [a^m x a^n = a^m+n]
15^3 / 2^9
This when simplified gives 6.591.
So, 15^3 / 2^9 is approximately equal to 6.59
PLS MARK IT AS BRAINLIEST
Marissa bought 60 horns for her New Year’s Eve party for $83.40.
She needs to purchase an additional 18 horns for the party at the same unit rate.
Choose True or False for each statement.
Answer:
We don't have the statements but I can tell you the following info:
Step-by-step explanation:
83.4/60= $1.39 for each horn
18*1.39= $25.02 for the 18 additional horns.
$83.40+25.02= $108.42 for the total 78 horns
00:00
Rose bought a bag of potatoes for $6.00 and some granola bars for $5.25 per package. Her total bill was $74.25. How many packages of granola
bars did she buy? Enter your answer in the box
packages
Answer:
13 packages of Granola
Step-by-step explanation:
74.25 - 6 = 68.25
68.25 divided by 5.25= 13
what is the circumference of this circle?
Answer:
12π
Step-by-step explanation:
C = Dπ
C = 12π
Answer:
37.68
Step-by-step explanation:
Trust me
Make me brainleist
In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 5000 subjects randomly selected from an online group involved with ears. 717 surveys were returned. Use a 0.01 significance level to test the claim that the return rate is less than 15%.
Answer:
As the P-value (0.086) is greater than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the return rate is less than 15%.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the return rate is less than 15%.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi=0.15\\\\H_a:\pi<0.15[/tex]
The significance level is 0.01.
The sample has a size n=5000.
The sample proportion is p=0.143.
[tex]p=X/n=717/5000=0.143[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.15*0.85}{5000}}\\\\\\ \sigma_p=\sqrt{0.000026}=0.005[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.143-0.15+0.5/5000}{0.005}=\dfrac{-0.007}{0.005}=-1.366[/tex]
This test is a left-tailed test, so the P-value for this test is calculated as:
[tex]P-value=P(z<-1.366)=0.086[/tex]
Answer:
[tex]z=\frac{0.1434 -0.15}{\sqrt{\frac{0.15(1-0.15)}{5000}}}=-1.307[/tex]
Now we can calculate the p value with the following probability:
[tex]p_v =P(z<-1.307)=0.0956[/tex]
For this case the p value is lower than the significance level provided of 0.1 so then we can reject the null hypothesis and we can conclude that the the return rate is significantly less than 15%.
Step-by-step explanation:
Information provided
n=5000 represent the random sample taken
X=717 represent the surveys returned
[tex]\hat p=\frac{717}{5000}=0.1434[/tex] estimated proportion of urvyes returned
[tex]p_o=0.15[/tex] is the value to verify
[tex]\alpha=0.01[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if the return rate is less than 15% the system of hypothesis are.:
Null hypothesis:[tex]p \geq 0.15[/tex]
Alternative hypothesis:[tex]p < 0.15[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info we got:
[tex]z=\frac{0.1434 -0.15}{\sqrt{\frac{0.15(1-0.15)}{5000}}}=-1.307[/tex]
Now we can calculate the p value with the following probability:
[tex]p_v =P(z<-1.307)=0.0956[/tex]
For this case the p value is lower than the significance level provided of 0.1 so then we can reject the null hypothesis and we can conclude that the the return rate is significantly less than 15%.
PLEASE HELP ?
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
Step-by-step explanation:
-2m - 5m - 8 = 3 + (-7) + m
Solving like terms
-7m - 8 = 3 - 7 + m
-7m - 8 = - 4 + m
Option 2 4 and 5 are equivalent
I need to know what –5(–2) equals.
Answer:
10
Step-by-step explanation:
what is the area of a trapezoid where one base is 6 cm the second base is 4cm and the height is 8cm?
Answer:
40 cm
Step-by-step explanation:
To find the area of a trapezoid, you have to do...
(4+6)times 8 divided by 2
so its 10 times 8 which is 80 divided by 2 is 40 cm!!
hope this helps!!
48 + 32 divided by 2 is 40
Step-by-step explanation:
The area is 40
There are 11 small jars on a table.
3 are Honey.
8 are Jam.
Rosie take 2 at random.
Work out the probability that she takes at least on jar of honey.
Answer:
There are 11 small jars on a table and 3 of 11 are jars of honey.
=> Probability that Rosie takes at least 2 jars honey:
P = P(Rosie picks 1 jar of honey) + P(Rosie picks 2 jars of honey)
= (3/11) x (8/10) + (8/11) x (3/10) + (3/11) x (2/11) = 0.486 = ~0.49
Hope this helps!
:)
Answer:
Step-by-step explanation:
you can use a treee diagrammm so the answer ist goeig to be 0.49 thums up
Guys please help it’s easy but idk
Answer:
51
Step-by-step explanation:
Volume can be calculated by [tex]\frac{4}{3}\pi r^{3}[/tex]
In this situation, your r (radius) is 2.3. Put 2.3 in to the equation for r, and you get 50.97. Round that to the nearest tenth to make it 51!
As an estimation we are told £3 is €4.
Convert €52 to pounds.
Answer:
£69.33
Step-by-step explanation:
4/3=1.33333333333 so that 52*1.33333333333 would convert 52 euros into 52 pounds
A repeated-measures study comparing two treatments with n = 4 participants produces MD = 2 and SS = 75 for the difference scores. What is the estimated standard error for the sample mean difference? Group of answer choices 25 25/4 = 6.25 5 2.5
Answer:
2.5
Step-by-step explanation:
n = 4 participants
MD = 2, SS = 75
Estimated standard error, s² =[tex]\frac{SS}{n-1}[/tex]
= [tex]\frac{75}{4-1}[/tex] = 25
Standard error = [tex]\sqrt{\frac{Estimated standard error}{n} }[/tex] = [tex]\sqrt{\frac{25}{4}}[/tex] = 2.5
Evaluate 2x^3 + 5x^2 + 4x + 8 when x = -2
Answer:
4Step-by-step explanation:
Given the function 2x³ + 5x² + 4x + 8. In order to evaluate the value of the function at x = -2 we will substitute the value of x given into the function as shown;
F(x) = 2x³ + 5x² + 4x + 8
at x = -2
f(-2) = 2(-2)³ + 5(-2)² + 4(-2) + 8
f(-2) = 2(-8) + 5(4) +(-8) + 8
f(-2) = -16+20-8+8
f(-2) = -16+20
f(-2) = 4
The value of the function when x = -2 is 4
You can afford $1,000 per month as a house payment. If you can get a home loan at 5.3% interest for 15 years (paid monthly), how expensive of a home can you afford? In other words, what amount loan can you pay off with $1,000 per month for 15 years?
Answer:
You can afford $1,000 per month as a house payment.
You can get a home loan at 5.3% interest for 15 years (paid monthly).
Then, after 15 years, the price of house that you can afford would be:
A x (1 + (5.3/100)/12)^(12 x 15) = 2.2 x A
With payment of 1000$ per month in 15 years, then we have
2.2 x A = 1000 x 12 x 15 = 180000
=> The price of house that you can afford now, would be:
A = 180000/2.2 = 81818.2$
Hope this helps!
:)
Write the least common multiple of 10 and 30
Answer:
30
Step-by-step explanation:
Multiples of 10 = 10,20,30
Multiples of 30= 30,60,90
The smallest one is 30
Answer:
30
Step-by-step explanation:
GCF(10,30) = 10
LCM(10,30) = ( 10 × 30) / 10
LCM(10,30) = 300 / 10
LCM(10,30) = 30