Answers
Step-by-step explanation:
Each roll has 6 possible outcomes, so two rolls have 36 possible sums. We can make a table showing what these sums are:
[tex]\left[\begin{array}{ccccccc}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}\\\textbf{1}&2&3&4&5&6&7\\\textbf{2}&3&4&5&6&7&8\\\textbf{3}&4&5&6&7&8&9\\\textbf{4}&5&6&7&8&9&10\\\textbf{5}&6&7&8&9&10&11\\\textbf{6}&7&8&9&10&11&12\end{array}\right][/tex]
Of the 36 sums, 10 are greater than 8, and 18 are odd.
P(A) = 10/36 = 5/18
P(B) = 18/36 = 1/2
Related Questions
You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y
(in dollars) of money in the account after x
weeks.
Answers
Answer:
The answer is 9
Step-by-step explanation:
if u 170-125= 45 then u divide 5 into 45 and u get 9
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
Step-by-step explanation:
f(x) = x^2
reflect along the x-axis
g(x) = -x^2
expand vertilcally by a factor of 1/3
g(x) = (-1/3) x^2
move horizontally 4 units to the left
g(x) = (-1/3) (x+4)^2
hope this helps
Answer:
B. The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 4 units to the left.
Step-by-step explanation:
The [tex]\frac{-1}{3}[/tex] is less than one, making it stretch wider, and the (-) made it flip over the x-axis. The +4 in [tex](x+4)^2[/tex] made the function on the graph shift 4 units to the left.
This makes the correct answer be "B."
x2 + y2 + 10x + 12y + 25 = 0
What is the center of this circle ?
What is the radius of this circle ?
units
Answers
Answer:
Center (- 5, - 6)
Radius 6 units
Step-by-step explanation:
x² + 10x + y² + 12y + 25 = 0
x² + 2*5*x + 5² + y² + 2*6*y + 6² - 5² - 6² + 25 = 0
(x + 5)² + (y + 6)² - 6² = 0
(x + 5)² + (y + 6)² = 6²
Center (- 5, - 6)
Radius 6 units
Round 1.8153001 * 10^4 to 6 significant figures
Answers
Answer:
1.81530×10⁴
Step-by-step explanation:
Keep the first 6 digits of the mantissa:
1.81530×10⁴
__
Here, the 7th digit is less than 5, so it and all to the right are dropped.
A bakery sold 100 mocha cupcakes in a day, which was 20% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answers
Answer:
500
Step-by-step explanation:
percentage is the quantitative way to express number of things out of 100 things.
For example : 20% of bananas are ripe.
it means that if there are 100 apples, 20 are ripe.
Let the total number of cupcakes sold that day be X
20% of total number of cupcakes sold = 20% of X = (20/100) * X __1
It is given that 20% of total number of cupcakes sold is equal to 100
Thus the equation 1 should be equal to 100.
Writing it mathematically we have
(20/100) * X = 100
=> 0.2X = 100
=> X = 100/0.2 = 500
500 cupcakes did the bakery sell that day.
What is the circumference of the circle? Use 3.14 for Pi. A circle with radius 6.4 centimeters.
Answers
Answer:
C≈40.21cm
Step-by-step explanation:
Answer:
40.192
Step-by-step explanation:
the radius is half of the diameter so the diameter is 12.8 now 12.8 times pi / 3.14
3 1/6 + 8 2/9 - 1 1/2 equals
Answers
Answer:
9.88888888889 or rather, 8 8/9
Step-by-step explanation:
mary had 1 3/4 pound of blackberries. Mary's friend ate 3/4 of the blackberries. How many pounds of blackberries did Mary friend eat?
Answers
Answer:
Shown in the explanation below,
Step-by-step explanation
Mary had 1 3/4 pounds
Mary friend eat 3/4 blackberry which is
3/4. × 7/4 = 21/ 16 = 1 5/16
A school survey asked students which candidate they supported for class president. The survey data are shown in the relative frequency table. What percentage of females polled supported Wilson?
Answers
Answer:
D about 44%
Step-by-step explanation:
just took the tests
Using the percentage concept and the given table, it is found that about 39% of males supported Wilson.
What is a percentage?
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P=\frac{a}{b}\times 100%[/tex]
In this problem, males are 46% of the sample, and 18% are males that supported Wilson,
[tex]P=\frac{18}{46} \times 100=39[/tex]
About 39% of males supported Wilson.
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ANYONE PLZZZ THIS IS DUE IN AN HOUR. Will mark the brainliest
Answers
Answer:
0.96 in^3
Step-by-step explanation:
Are those the only three choices? Anyway, I hope this helps
What's the answer please?
Answers
Answer:
1. 3
2. 2
3. 6
Step-by-step explanation:
1. 3 * 3 = 9
2. 5 - 2 = 3
3. 3 + 6 = 9
This month you earned 8% more than last month write two different expressions to show this
Answers
Y=x1.08
Answer:
X+8/100x ; X+0.08x
Step-by-step explanation:
Let x = last month's earning
8% =8/100 or 0.08
8/100 of x= 8/100x 008 of x=0.08x
last month + 8/100 of last month:
x+8/100x
last month + 0.08 of last month:
x+0.08x
Those are your two answers. I am sorry if they are wrong. I am not the best at math, but I tried supplying the answers as best as I could.
What is 841,487 rounded to the nearest ten thousand?
Answers
Answer:
840,000
Step-by-step explanation:
841,487 sice the ten thousands place is under the number five you round down to 840,000
840,000
that’s rounded
The National Transportation Safety Board publishes statistics on the number of automobile crashes that people in various age groups have. A researcher claims the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%. Her study examined 1000 young drivers ages 18 – 24 and found that 134 had an accident this year. Test at α = .05. a) State H0 and Ha b) Find the critical value, show work c) Find the appropriate test statistic, show work d) Do a P - value test e) Make a decision to reject or fail to reject the null hypothesis and interpret the results.
Answers
Answer:
a) Null hypothesis:[tex]p\leq 0.12[/tex]
Alternative hypothesis:[tex]p > 0.12[/tex]
b) [tex] z_{\alpha}=1.64[/tex]
c) [tex]z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362[/tex]
d) [tex]p_v =P(z>1.362)=0.0866[/tex]
e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
Step-by-step explanation:
Information given
n=1000 represent the random sample selected
X=134 represent the number of young drivers ages 18 – 24 that had an accident
[tex]\hat p=\frac{134}{1000}=0.134[/tex] estimated proportion of young drivers ages 18 – 24 that had an accident
[tex]p_o=0.12[/tex] is the value that we want to verify
[tex]\alpha=0.05[/tex] represent the significance level
Confidence=95% or 0.95
z would represent the statistic
[tex]p_v{/tex} represent the p value
Part a
We want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%:
Null hypothesis:[tex]p\leq 0.12[/tex]
Alternative hypothesis:[tex]p > 0.12[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Part b
For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:
[tex] z_{\alpha}=1.64[/tex]
Part c
For this case the statistic would be given by:
[tex]z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362[/tex]
Part d
The p value can be calculated with the following probability:
[tex]p_v =P(z>1.362)=0.0866[/tex]
Part e
For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
A spacecraft travels at a speed of 5 x 10^4 miles per day. How long will it travel in 1.5 x 10^2 days?
Answers
Answer:
[tex]7.5 \times 10^6[/tex] miles
Step-by-step explanation:
[tex](5\times 10^4)\times (1.5 \times 10^2)=\\(5\times 1.5) \times (10^4 \times 10^2)=\\7.5 \times 10^6[/tex]
Hope this helps!
What is the value of n
Answers
Answer:
B) n = 6
Step-by-step explanation:
4n + 12 = 8n - 12
Combine like terms
24 = 4n
n = 6
Answer: 6
Step-by-step explanation:
set 4n+12 and 8n-12 equal to each other and you should get 6
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Three hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%.
Calculate the following values:
The predictive value of a positive test
The predictive value of a negative test
Answers
Answer:
predictive value of a positive test = 18.18%
predictive value of a negative test = 94.03%
Step-by-step explanation:
Sensitivity = 60% = 0.6
Specificity = 70% = 0.7
Let True Positive = TP
True Negative = TN
False Negative = FN
[tex]Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN[/tex]
[tex]Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN = 7/3 FP[/tex]
Prevalence = 10% = 0.1
Three hundred people are screened, [tex]T_{total} = 300[/tex]
Total number of people having the disease, [tex]T_{disease} = ?[/tex]
[tex]Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 = \frac{T_{disease} }{300 }\\T_{disease} = 30[/tex]
[tex]T_{disease} = TP + FN\\30 = TP + FN[/tex]
But TP = 1.5 FN
30 = 1.5 FN + FN
30 = 2.5 FN
FN = 30/2.5
FN = 12
TP = 1.5 FN = 1.5 * 12
TP = 18
[tex]FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81[/tex]
81 + TN = 270
TN = 189
To calculate the Predictive value of positive test (PPT)
[tex]PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%[/tex]
To calculate the Predictive value of negative test (PNT)
[tex]PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%[/tex]
Which expression is equivalent to (sf)(6)
Answers
Answer:
(st)(6)= s(6) * t(6)
Step-by-step explanation:
(st)(6)
(st)(x)= s(x) * t(x) we multiply it
(st)(6)= s(6) * t(6)
Hope this helps.
what is the mean of :20 20 20 22 22 24 26 26 26
Answers
The mean of a set of numbers is the sum divided by the number of terms.
Answer: 22.9
Answer:
YOU ADD AND DIVIDE FOR THE MEAN
Step-by-step explanation:
add 20 + 20 + 20 + 22 + 22 + 24 + 26 + 26 + 26 equaling to = 206
divide by 9 equaling to = 22.88
The Community College Survey of Student Engagement reports that 46% of the students surveyed rarely or never use peer or other tutoring resources. Suppose that in reality 40% of community college students never use tutoring services available at their college. In a simulation, we select random samples from a population in which 40% do not use tutoring. For each sample, we calculate the proportion who do not use tutoring. If we randomly sample 100 students from this population, the standard error is approximately 5%. Would it be unusual to see 46% who do not use tutoring in a random sample of 100 students?a) Yes, this would be unusual because 46% is more than one standard error from the mean. It is very rare for a sample to be more than one standard error from mean. b) Yes, this would be unusual because 46% is 6% higher than 40%. c) No, this would not be unusual because the error is only 6%. d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.
Answers
Answer:
d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.
Step-by-step explanation:
Problems of normally distributed samples are solved using 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.
If the z-score is higher than 2 or lower than -2, X is unusual.
In this question:
Mean = 40%. So [tex]\mu = 0.4[/tex]
Standard error = 5%. So [tex]\sigma = 0.05[/tex]
Is 46% unusual?
We have to find Z when X = 0.46. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.46 - 0.4}{0.05}[/tex]
[tex]Z = 1.2[/tex]
1.2 is lower than 2, that is, it is only 1.2 standard deviations from the mean. So 46% is not unusual.
So the correct answer is:
d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.
There were 128 participants in an online Fortnite tournament. The table below shows the number of people that were left in the tournament after each round. After each round the # decreases. Round 1=64,2=32,3=16,4=8. Determine how many more rounds until there’s a winner & explain
Answers
Answer:
7 rounds
Step-by-step explanation:
After the 5th round, 8 divide by 2 equals 4. After the 6th round, 4 divided by 2 equals 2. After the 7th round, 2 divided by 2 equals 1 determining a winner. After every round, the number of people is decreased by dividing by 2.
Hope this helps!!! PLZ MARK BRAINLIEST!!! GG’s
Find the equation for the line that passes through the point
(−3,−1) and that is parallel to the line with the equation
y=1/2x-3
Answers
Answer:
work is shown and pictured
The radius of the circle below intersects the unit circle at ( 3/5 • 4/5 What is the approximate value of e?
Answers
Answer:
12/25
Step-by-step explanation:
multiply the fractions.
multiply the numbers.
Determin The Constant of proportionality
l varies derectly as h; when l = 112,h = -16
Answers
Answer:
-7
Step-by-step explanation:
l = kh . . . . . l is proportional to h with proportionality constant k
112 = k·(-16) . . . . . . use the given numbers
k = -112/16 = -7 . . . divide by the coefficient of k
The constant of proportionality is -7.
59 people showed up to the party. There were 3 less men than women present. How many men were there?
Answers
Answer:
28 MEN
Step-by-step explanation:
X + X-3=59
2X-3=59
2X=62
X=31
MEN=31-3=28
if 9 more than twice a number is 3 less than three times the same number, what is the number?
Answers
Answer:
the number is 12
Step-by-step explanation:
9+2x=3x-3
9+3=3x-2x
12=x
The required number is 12.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now it is given that,9 more than twice a number is 3 less than three times the same number.
Let the number be x.
So, 9 more than twice a number = 9 +2x
and, 3 less than three times the same number = 3x - 3
Hence we have,
9 + 2x = 3x - 3
Adding 3 both the side we get,
12 + 2x = 3x
Now substracting 2x both the side we get,
x = 12
Hence the number is 12.
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Subtract and write in standard form
(8x – 6x3 + 5x2) - (2x2 + 2x - 7x3)
Answers
Answer:
x^3 +3x^2 +6x
Step-by-step explanation:
Eliminate parentheses using the distributive property. Collect terms. Standard form has the exponents decreasing.
= 8x -6x^3 +5x^2 -2x^2 -2x +7x^3
= x^3(-6 +7) +x^2(5 -2) +x(8 -2)
= x^3 +3x^2 +6x
A jar is 25 filled with water. If 750 ml more water is poured into the jar, it becomes full. What is the capacity of the jar?
Answers
Answer:
775 ml
Step-by-step explanation:
Answer:
775
Step-by-step explanation:
25 plus 50 equals 75.700 plus 75= 775 ml.
For a function p(x), as — then p(x) — 4. Which of the following graphs
could be p(x)?
Answers
5,-5/2,5/4,-5/8 what is the 5th term
Answers
Answer: your answer would be 5/16th :)
Answer:
5/16
Step-by-step explanation:
The common ratio is -5/2 / 5 = -1/2
Xn = 5 × (-1/2)^(n-1)
X5 = 5 × (-1/2)^(5-1)
X5 = 5 × (-1/2)^(4) = 5/16