Multiply both sides of the equation by 6
x/2*6-4*6=x/3*6
3x-24=2x
This effectively got rid of all the fractions.
Now combine liked terms.
3x-2x-24+24=2x-2x+24 I subtracted 2x from both sides and added 24 on both sides.
x=24
We can check our answers
24/2-4=8
and 24/3=8 so my answer is correct
x=24
Samantha is 3 years older than her twin sisters. Next year the sum of age ages of all 3 sisters will be 45. how old is Samantha now?
Ann went to the store. She bought a book for $4.00, pencils for $2.00, and a notebook for $3.00. What is her change if she paid with a $20.00 bill?
Answer:
$11 is her change
Step-by-step explanation:
This is a simple adding and subtracing problem.
What we first do is add up 4+2+3=9 then we subtract 9 from 20 which gives us $11
We can check our answer by add up 11 + 9 to see if it equals to 20
In a survey of 140 undergraduate students in an elementary statistics class at UW, 12 said they were left-handed and 128 said they were right-handed. Assume the students are representative of all UW undergrads. Do these data provide evidence that the proportion of UW undergrads who are left-handed differs from the national proportion of 0.10 at the 5% significance level?
data: 12 out of 140, null probability 0.1 z = 0.563, p-value = 0.5731 alternative hypothesis: true p is not equal to 0.1 95 percent confidence interval: 0.04971124 0.14384532 sample estimates: P 0.08571429
a) Define the null and alternative hypothesis for answering the question being asked. Define both in words and in symbols.
b) The R output for running this test is shown below. What do you conclude for this test? Include your decision and an interpretation in the context of the problem. Be specific.
c) Explain in words what the p-value of 0.5731 means.
Answer:
a) The null hypothesis, H₀; p = 0.1
The alternative hypothesis, Hₐ; p ≠ 0.1
b) The proportion of left handed undergrads in UW differs from the national proportion of 0.1
c) The p-value is larger than the level of significance therefore there is statistical evidence supporting the alternative hypothesis
Step-by-step explanation:
The given data are;
The number of students in the sample, n = 140
The number of left handed students in the sample = 12
The number of right handed students in the sample = 128
The proportion of left handed students in the sample, [tex]\hat p[/tex] = 12/140 = 0.08571429
The significance level = 5%
The national proportion, p₀ = 0.1
a) The null hypothesis, H₀; p = 0.1
The null hypothesis is the proportion of left handed students in the UW is the same as the national proportion of 0.1
The alternative hypothesis, Hₐ; p ≠ 0.1
The alternative hypothesis is the proportion of left handed students in the UW is not the same as the national proportion of 0.1
b) Given from the output values of the Confidence Interval at 95% confidence level, (0.04971124, 0.14384532) which are both positive values, and the p-value of 0.5731, we conclude that there is a difference between the proportion of left-handed UW undergraduate students and the national proportion of 0.1
c) Given that the p-value of 0.5731 is larger than the significance level of 0.05, we reject the null hypothesis and there is significant statistical evidence to suggest that the proportion of UW undergrads who are left handed differs from the national proportion of 0.10
The height of a thrown ball is a quadratic function of the time it has been in the air. The graph of the quadratic function is the parabolic path of the ball.The vertex of the graph is (1, 20) and the path of the ball includes the point (0,4). What is an expression that defines this function? Write the quadratic function in vertex form.
Answer:
f(x) = a(x - 1) + 20
Step-by-step explanation:
Vertex form is written in this format: f(x) = a(x - h) + k. The vertex point is written in the form (h,k). To write the vertex in the equation, fill in the digits where they belong.
Hope it helps!
The ball's parabolic route is represented by the quadratic function's graph. The quadratic function is x²-2x+4=0.
Given that,
A thrown ball's height is a quadratic function of the amount of time it has been in the air. The ball's parabolic route is represented by the quadratic function's graph. The ball's route includes the location (1, 20), which is the graph's vertex (0,4).
We have to find what does the expression for this function look like? In vertex form, write the quadratic function.
What is the vertex form of a parabola?Use y= a(x-h)² + k as the vertex form of a parabola.
(The parabola opens upward if "a" is positive and downward if "a" is negative.) Additionally, the vertex of the (h,k) is a parabola.
The vertex of the parabola (h,k) is (1,20)
The a value is 4 and y as 0.
y=a(x-h)²+k
0=4(x-1)²+20
0=4(x²-2x+1)+20
0=4x²-8x-4+20
0=4x²-8x+16
4x²-8x+16=0
x²-2x+4=0
Therefore, the quadratic function is x²-2x+4=0.
To learn more about quadratic visit: https://brainly.com/question/22364785
#SPJ2
&50+ E3 857=6180 150 #130 GELD Four girls have $5.00 to share equally. How much money will each girl get? Explain. What if four girls want to share $5.52 equally? Hov vill each
girl get? Explain.
answer is 5.00/4=1.25
Answer:
Step-by-step explanation:
(5 dollars)/(4 girls) = (5/4 dollars)/girl = (1.25 dollars)/girl
:::::
(5.52 dollars)/(4 girls) = (5.52/4 dollars)/girl = (1.38 dollars)/girl
PLEASE HELP WILL MARK BRAINLIST
Answer:
the answer for question 2 is (D)
I don’t understand, can someone help?
Answer:
The answer is 3
Step-by-step explanation:
if the other side is 10 then 2x+4 should be 10
2*3+4=10
In a recent survey in a Statistics class, it was determined that only 70% of the students attend class on Fridays. From past data it was noted that 88% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course. a. What percentage of students is expected to pass the course? b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays? (Hint: the above problem is based on conditional probability concept and the Bayes theorem)
Answer:
a) 67.6% of students is expected to pass the course
b) 0.9112 = 91.12% probability that he/she attended classes on Fridays
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What percentage of students is expected to pass the course?
88% of 70%(attended class)
20% of 100 - 70 = 30%(did not attend class). So
[tex]p = 0.88*0.7 + 0.2*0.3 = 0.676[/tex]
0.676*100% = 67.6%
67.6% of students is expected to pass the course.
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
Here, we use conditional probability:
Event A: Passed the course
Event B: Attended classes on Fridays.
67.6% of students is expected to pass the course.
This means that [tex]P(A) = 0.676[/tex]
Probability that passed and attended classes on Friday.
88% of 70%
This means that:
[tex]P(A \cap B) = 0.88*0.7 = 0.616[/tex]
Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112[/tex]
0.9112 = 91.12% probability that he/she attended classes on Fridays
which set does square 7 belong to? integers and irrational numbers irrational and real numbers real and rational numbers rational and whole numbers
Answer: irrational and real numbers
factor out the combine term 21x+49y
A dress is on sale for 35\% off of the regular price.
If d represents the regular price of the dress, which expression represents the sale price of the dress?
A.
0.35d
B.
0.65d
C.
1.35d
D.
1.65d
PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.
The sale price of the dress is $
.
Answer:
Expression that represents the sale price of the wedding dress is
Solution:
Given that, the dress is on sale for 35 % off the regular price
Let the regular price of dress be "w"
To find: Expression that represents the sale price of the wedding dress
Let "s" be the sale price of wedding dress
Sale price = Regular price - discount price
Discount price is given as:
Discount price = 35 % of regular price
Discount price = 35 % of w
Thus discount price = 0.35w
Expression for the sale price of the wedding dress:
Sale price = Regular price - discount price
s = w - 0.35
s = 0.65
s= 0.65
Thus expression that represents the sale price of the wedding dress is
s=0.56
I’m pretty sure the answer is a ?
Write 5x – 4y = 10 in slope-intercept form
Suppose we have 14 boxes of pastries (each box of a different flavor), each with a scone and a muffin inside. For example, one box has a raspberry muffin and a raspberry scone. How many different ways can we select exactly 5 muffins and 9 scones so that each one is a unique flavor? (Order does not matter)
Answer:
Step-by-step explanation:
I'll give points and brainalist for answer / explanation
Answer:
C
The perimeter of a square is the measure around it [ the square ]. The circumference of a circle is finding the distance/finding the measure of the distance around a circle.
Hope that helps! :)
please help with this algebra question
Answer:
i think its
[tex]P(x) = i ^{3}[/tex]
Step-by-step explanation:
The Jones family took a 16 mile canoe ride down the Indian River in two hours. After lunch, the return trip back up the river took four hours. Find the rate,
in mph, of the canoe in still water and the rate of the current.
9514 1404 393
Answer:
canoe 6 mphcurrent 2 mphStep-by-step explanation:
The speed downriver was (16 mi)/(2 h) = 8 mph. The speed upriver was (16 mi)/(4 h) = 4 mph. The canoe's speed in still water is the average of these speeds: (8+4)/2 = 6 miles per hour.
The current's speed is the difference between the actual speed and the canoe's speed: 8 -6 = 2 miles per hour.
The speed of the canoe in still water is 6 mph; the rate of the current is 2 mph.
2825
2072
2733
2069
2484
4285
2862
3353
1449
2029
1285
2982
2045
1677
1619
2597
3512
2444
1773
2284
1884
2359
2046
2364
2669
3109
2804
1658
2207
2159
2207
2882
1647
2051
2202
3223
2383
1732
2230
1147
2711
1874
1979
1319
2923
2281
1230
1665
1294
2936
Find meanfi
9514 1404 393
Answer:
2271.08
Step-by-step explanation:
The total of the 50 numbers is 113554. Then their mean is ...
113554/50 = 2271.08 . . . . the mean
Business bankruptcies in Canada are monitored by the Office of the Superintendent of Bankruptcy Canada (OSB).8 Included in each report are the assets and liabilities the company declared at the time of the bankruptcy filing. A study is based on a random sample of 75 reports from the current year. The average debt (liabilities minus assets) is $92,172 with a standard deviation of $111,538.
a) Construct a 95% one-sample t confidence interval for the average debt of these companies at the time of filing.
b) Because the sample standard deviation is larger than the sample mean, this debt distribution is skewed. Provide a defense for using the tconfidence interval in this case.
Answer:
a) 70,663.57< [tex]\overline x[/tex] < 113,680.43
b) The sampling distribution of the means is expected to be approximately normal given that n > 30
Step-by-step explanation:
The given parameter of the study are;
The number of reports in the study, n = 75 reports
The average debt, [tex]\overline x[/tex] = $92,172
The standard deviation, Sₓ = $111,538
a) A one-sample t confidence interval is given as follows;
The Degrees of Freedom, df = n - 1 = 75 - 1 = 74
[tex]C.I, = \overline x \pm t^* \cdot \dfrac{S_x}{\sqrt{n} }[/tex]
[tex]t^*[/tex] = The critical t, at 95% confidence level = 1.67
Therefore, we have;
[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]
Therefore, we have;
[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]
C.I. = (92,172 ± 21,508.43)
Therefore, the 95% one-sample t confidence interval for the average debt of the companies at the time of filing, C.I. = 70,663.57< [tex]\overline x[/tex] < 113,680.43
b) The defense for using the t confidence interval in the question is supported that the fact that the sample size is larger than 30 (n = 75) the sampling distribution of means will be approximately normal and the population mean will be between the confidence interval for the mean.
solving a system of linear equations algebraically:
Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25
answer choices:
x=1
x=1.78
x=3
x=5.33
It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
giving the brainliest answer to who ever can help me out!!! AND has the correct answer need help asap!?!!
Answer:
caca water
pee water
Step-by-step explanation:
Forty people used a popular weight loss program. The mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than o lb. Use Table A-3 to find the range of values for the P-value.
Answer:
P-value < 0.005
Step-by-step explanation:
just took it
help please
thank you for your help
Answer:
3(7+x²)x-2
3x(7+x²)-2
21x+3x³-2
Which expression is equivalent to 4(-2c) - c
-6c
8c - 1
-9c
7c + 1
I'm not good at this stuff -_-
Answer:
none of those?
Step-by-step explanation:
4(-2c) = -8c
Answer: -9c
Step-by-step explanation:
4(-2c) - c
= -8c - c
= -9c
-9c is the answer
Good morning! Please help me sort these out for math in the picture above ( I put letters in red so then you can just tell me where the letter goes under either possible or impossible)
Answer:
sorry hunny you on your own
I need help please.
Step-by-step explanation:
if I had to guess it's probably true
HELP WILL GIBE BRAINLIEST.
HOW MUCH IS IT FOR 1
Answer:
small is 0.018
medium is 0.016
large is 0.010
whats 100 times 63 times 23 divided by 20 times 30 times 0 times 5 times 50 times 10
Answer:
0
Step-by-step explanation:
100 × 63 × 23 ÷ 20 × 30 × 0 × 5 × 50 × 10
You see the bold " × 0"; this means whatever happened before the " × 0" means nothing. You are left with "× 0 × 5 × 50 × 10". Any number times 0 or 0 times any number = 0. Your answer is 0.
consider the absolute value functions c and d
which statement correctly describes these functions?
A.The maximum value of d is 5 less than the minimum value of c
B. The maximum value of d is 3 less than the maximum value of c.
C.The minimum value of d is 5 more than the maximum of c
D. The minimum value of d is 3 more than the maximum of value c.
If the radius is 8m, what is the diameter
Answer:
16m
Step-by-step explanation:
radius is half of diameter