Answer:
slope is undefined
Step-by-step explanation:
(9, 1 ) and (9, - 4 )
Since the x- coordinates of the 2 points are 9, then the line is vertical and parallel to the y- axis with slope being undefined.
Slope is the change in y over the change in x.
Slope = (-4 - 1) / (9 -9) = -5/0 you cannot divide by 0,so the slope is undefined. This means it is a vertical line
this app and you guys help me a lot and all need today is thank you and I need help
Answer:
a, b, and c are parallelograms.
Step-by-step explanation:
d is not one as it has 5 sides,
e is not a parallelogram because it is a triangle, and has 3 sides
hope this helps :D
Answer:
A, B and C
Step-by-step explanation:
A, B and C are parallelograms.
A coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that the probability is not 0.5. The test rejects the null hypothesis if either 0 or 10 heads are observed.
(a) What is the significance level of the test?
(b) If, in fact, the probability of heads is 0.1, what is the power of the test?
Answer:
(a) The significance level of the test is 0.002.
(b) The power of the test is 0.3487.
Step-by-step explanation:
We are given that a coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that the probability is not 0.5.
The test rejects the null hypothesis if either 0 or 10 heads are observed.
Let p = probability of obtaining head.
So, Null Hypothesis, [tex]H_0[/tex] : p = 0.5
Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 0.5
(a) The significance level of the test which is represented by [tex]\alpha[/tex] is the probability of Type I error.
Type I error states the probability of rejecting the null hypothesis given the fact that the null hypothesis is true.
Here, the probability of rejecting the null hypothesis means we obtain the probability of observing either 0 or 10 heads, that is;
P(Type I error) = [tex]\alpha[/tex]
P(X = 0/[tex]H_0[/tex] is true) + P(X = 10/[tex]H_0[/tex] is true) = [tex]\alpha[/tex]
Also, the event of obtaining heads when a coin is thrown 10 times can be considered as a binomial experiment.
So, X ~ Binom(n = 10, p = 0.5)
P(X = 0/[tex]H_0[/tex] is true) + P(X = 10/[tex]H_0[/tex] is true) = [tex]\alpha[/tex]
[tex]\binom{10}{0}\times 0.5^{0} \times (1-0.5)^{10-0} +\binom{10}{10}\times 0.5^{10} \times (1-0.5)^{10-10}[/tex] = [tex]\alpha[/tex]
[tex](1\times 1\times 0.5^{10}) +(1 \times 0.5^{10} \times 0.5^{0})[/tex] = [tex]\alpha[/tex]
[tex]\alpha[/tex] = 0.0019
So, the significance level of the test is 0.002.
(b) It is stated that the probability of heads is 0.1, and we have to find the power of the test.
Here the Type II error is used which states the probability of accepting the null hypothesis given the fact that the null hypothesis is false.
Also, the power of the test is represented by (1 - [tex]\beta[/tex]).
So, here, X ~ Binom(n = 10, p = 0.1)
[tex]1-\beta[/tex] = P(X = 0/[tex]H_0[/tex] is true) + P(X = 10/[tex]H_0[/tex] is true)
[tex]1-\beta[/tex] = [tex]\binom{10}{0}\times 0.1^{0} \times (1-0.1)^{10-0} +\binom{10}{10}\times 0.1^{10} \times (1-0.1)^{10-10}[/tex]
[tex]1-\beta[/tex] = [tex](1\times 1\times 0.9^{10}) +(1 \times 0.1^{10} \times 0.9^{0})[/tex]
[tex]1-\beta[/tex] = 0.3487
Hence, the power of the test is 0.3487.
Given the following hypotheses: H0: μ = 490 H1: μ ≠ 490 A random sample of 15 observations is selected from a normal population. The sample mean was 495 and the sample standard deviation 9. Using the 0.01 significance level:
a.) State the decision rule.
b.) Compute the value of the test statistic.
c.) What is your decision regarding the null hypothesis?
Answer:
We conclude that the population mean is equal to 490.
Step-by-step explanation:
We are given that a random sample of 15 observations is selected from a normal population. The sample mean was 495 and the sample standard deviation 9.
Let [tex]\mu[/tex] = population mean.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 490 {means that the population mean is equal to 490}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 490 {means that the population mean is different from 490}
The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_1_4[/tex]
where, [tex]\bar X[/tex] = sample mean = 495
s = sample standard deviation = 9
n = sample of observations = 15
So, the test statistics = [tex]\frac{495-490}{\frac{9}{\sqrt{15} } }[/tex] ~ [tex]t_1_4[/tex]
= 2.152
The value of t-test statistics is 2.152.
Now, at a 0.01 level of significance, the t table gives a critical value of -2.977 and 2.977 at 14 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as the test statistics will not fall in the rejection region.
Therefore, we conclude that the population mean is equal to 490.
An airline claims that the proportion of no-shows for passengers who booked on its flights is less than 0.06. In a random sample of 380 reservations, 19 were no-shows. A hypothesis test is to be performed to test the airline's claim that the proportion of no-shows on its flights is less than 0.06. Calculate the test statistic associated with this sample. An airline claims that the proportion of no-shows for passengers who booked on its flights is less than 0.06. In a random sample of 380 reservations, 19 were no-shows. A hypothesis test is to be performed to test the airline's claim that the proportion of no-shows on its flights is less than 0.06. Calculate the test statistic associated with this sample.
Answer:
≈ -0.821
Step-by-step explanation:
Given:
n= 380, samplex= 19, no-shows countp = 0.06, proportion of no-showsThen, the sample proportion is:
p' = x/n = 19/ 380 = 0.05Hypothesis test:
H₀: p = 0.06H₁: p< 0.06Test statistics:
z = (p' - p) /[tex]\sqrt{p(1-p)/n}[/tex] z = (0.05 - 0.06)/[tex]\sqrt{006(1-0.06)/380}[/tex] ≈ -0.821compare the following rational number
[tex] \frac{4}{5} and \frac{7}{5} [/tex]
Answer:
7/5 is greater than 4/5
Answer:
[tex]\frac{4}{5}[/tex] < [tex]\frac{7}{5}[/tex]
Consider the given statement. Determine whether its is equivalent to the given statement, a negation, or neither. Attached is the photo reference.
Answer:
1. Negation
2. Equivalent
3. Neither
4. Neither
Step-by-step explanation:
p ^ ~q
~q → p~
~q ∨ p
~p ∨q
a) An orange weighs 155 grams.
What's the weight of the orange in kilograms?
Answer: 0.155 kilogram
===================================================
Work Shown:
To convert from grams to kilograms, you divide by 1000
155 grams = 155/1000 = 0.155 kilogram
In what order should you evaluate problems?
Answer:
(4) → (1) → (3) → (2)
Step-by-step explanation:
Order of operations in any question are decided by the rule,
P → Parentheses
E → Exponents
D → Division
M → Multiplication
A → Addition
S → Subtract
Following the same rule order of operations will be,
- Take care of anything inside the parentheses.
- Evaluate and raise the exponents
- Multiply or divide. Make sure to do whichever one comes first from left to right.
- Add or Subtract from left to right.
Options are arranged in the order of,
(4) → (1) → (3) → (2)
The area formula, A = tr2, would be used to find the area of a
A. square.
B. rectangle.
O circle.
D. triangle
E parallelogram.
Assuming you meant to write [tex]A = \pi r^2[/tex], then the answer is C) circle
On your keyboard, you can say A = pi*r^2 to mean the same thing as above.
5/\sqrt{x} +1+4/\sqrt{x} -1-8\sqrt{x}/x-1
Answer:
535525-62635-$6#62626636$66$6$63663636$6$62
brainly is dustbin
During April of 2013, Gallup randomly surveyed 500 adults in the US, and 47% said that they were happy, and without a lot of stress." Calculate and interpret a 95% confidence interval for the proportion of U.S. adults who considered themselves happy at that time. 1 How many successes and failures are there in the sample? Are the criteria for approximate normality satisfied for a confidence interval?
A What is the sample proportion?
B compute the margin of error for a 95% confidence interval.
C Interpret the margin of error you calculated in Question 1
C. Give the lower and upper limits of the 95% confidence interval for the population proportion (p), of U.S. adults who considered themselves happy in April, 2013.
D Give an interpretation of this interval.
E. Based on this interval, is it reasonably likely that a majority of U.S. adults were happy at that time?
H If someone claimed that only about 1/3 of U.S. adults were happy, would our result support this?
Answer:
number of successes
[tex]k = 235[/tex]
number of failure
[tex]y = 265[/tex]
The criteria are met
A
The sample proportion is [tex]\r p = 0.47[/tex]
B
[tex]E =4.4 \%[/tex]
C
What this mean is that for N number of times the survey is carried out that the which sample proportion obtain will differ from the true population proportion will not more than 4.4%
Ci
[tex]r = 0.514 = 51.4 \%[/tex]
[tex]v = 0.426 = 42.6 \%[/tex]
D
This 95% confidence interval mean that the the chance of the true population proportion of those that are happy to be exist within the upper and the lower limit is 95%
E
Given that 50% of the population proportion lie with the 95% confidence interval the it correct to say that it is reasonably likely that a majority of U.S. adults were happy at that time
F
Yes our result would support the claim because
[tex]\frac{1}{3 } \ of N < \frac{1}{2} (50\%) \ of \ N , \ Where\ N \ is \ the \ population\ size[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 500[/tex]
The sample proportion is [tex]\r p = 0.47[/tex]
Generally the number of successes is mathematical represented as
[tex]k = n * \r p[/tex]
substituting values
[tex]k = 500 * 0.47[/tex]
[tex]k = 235[/tex]
Generally the number of failure is mathematical represented as
[tex]y = n * (1 -\r p )[/tex]
substituting values
[tex]y = 500 * (1 - 0.47 )[/tex]
[tex]y = 265[/tex]
for approximate normality for a confidence interval criteria to be satisfied
[tex]np > 5 \ and \ n(1- p ) \ >5[/tex]
Given that the above is true for this survey then we can say that the criteria are met
Given that the confidence level is 95% then the level of confidence is mathematically evaluated as
[tex]\alpha = 100 - 95[/tex]
[tex]\alpha = 5 \%[/tex]
[tex]\alpha =0.05[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table, the value is
[tex]Z_{\frac{ \alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p (1- \r p}{n} }[/tex]
substituting values
[tex]E = 1.96 * \sqrt{ \frac{0.47 (1- 0.47}{500} }[/tex]
[tex]E = 0.044[/tex]
=> [tex]E =4.4 \%[/tex]
What this mean is that for N number of times the survey is carried out that the proportion obtain will differ from the true population proportion of those that are happy by more than 4.4%
The 95% confidence interval is mathematically represented as
[tex]\r p - E < p < \r p + E[/tex]
substituting values
[tex]0.47 - 0.044 < p < 0.47 + 0.044[/tex]
[tex]0.426 < p < 0.514[/tex]
The upper limit of the 95% confidence interval is [tex]r = 0.514 = 51.4 \%[/tex]
The lower limit of the 95% confidence interval is [tex]v = 0.426 = 42.6 \%[/tex]
This 95% confidence interval mean that the the chance of the true population proportion of those that are happy to be exist within the upper and the lower limit is 95%
Given that 50% of the population proportion lie with the 95% confidence interval the it correct to say that it is reasonably likely that a majority of U.S. adults were happy at that time
Yes our result would support the claim because
[tex]\frac{1}{3 } < \frac{1}{2} (50\%)[/tex]
what is the value of x?
Answer:
[tex]\boxed{\sf x = 80}[/tex]
Step-by-step explanation:
A quadrilateral inscribed in a circle has opposite sides equal to 180.
So,
x + x + 20 = 180
2x + 20 = 180
Subtracting 20 from both sides
2x = 180 - 20
2x = 160
Dividing both sides by 2
x = 80
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 80
▹ Step-by-Step Explanation
x + x + 20 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 80
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
What is the slope of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-6,-9)(−6,−9)left parenthesis, minus, 6, comma, minus, 9, right parenthesis?
Answer:
Step-by-step explanation:
Slope of line through (-9,6) and (-6,-9) = (-9 - 6)/(-6 - (-9)) = (-15)/(3) = -5
point-slope equation for line of slope -5 that passes through (-9,6):
y-6 = -5(x+9)
Answer:
1/2
Step-by-step explanation:
because i answered it on khan academy and it was right
Slope=
Run
Rise
=
Change in x
Change in y
start text, S, l, o, p, e, end text, equals, start fraction, start text, R, i, s, e, end text, divided by, start text, R, u, n, end text, end fraction, equals, start fraction, start text, C, h, a, n, g, e, space, i, n, space, end text, y, divided by, start text, C, h, a, n, g, e, space, i, n, space, end text, x, end fraction
Hint #22 / 3
\begin{aligned} \text{Slope}&=\dfrac{9-6}{-3-(-9)} \\\\ &=\dfrac{3}{6} \\\\ &=\dfrac{1}{2} \end{aligned}
Slope
=
−3−(−9)
9−6
=
6
3
=
2
1
Hint #33 / 3
The slope is \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction.
What will be the effect on the graph of y = Ixl if x is replaced with -x?
Answer:
If x is replaced with -x the graph will stay the same because the absolute value makes 2 values so a negative number and a positive one.
Step-by-step explanation:
Go search it up on desmos.
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Answer:
Diameter of wheel in millimetres is 660.4
Step-by-step explanation:
Diameter of wheel in inches = 26
given
1 inch = 25.4 millimeters
multiplying RHS and LHS by 26
26*1 inch = 26*25.4 millimeters
=>26 inch = 660.4 mm.
Thus, diameter of wheel in millimetres is 660.4
Find the sum of (5x3 + 3x2 - 5x + 4) and (8x3 -5x2 + 8x + 9)
Answer:
(5x³+3x²-5x+4) + (8x³-5x²+8x+9)
= 5x³+3x²-5x+4 +8x³-5x²+8x+9
= 5x³+8x³+3x²-5x²-5x+8x+4+9
= 13x³-2x²+3x+13
Hope this helps
if u have question let me know in comments ^_^
What is the diameter of a hemisphere with a volume of
62617
cm
3
,
62617 cm
Answer:
Step-by-step explanation:
Hemisphere Volume = (2/3) * PI * radius^3
sphere radius^3 = Hemisphere Volume / ((2/3) PI)
sphere radius^3 = 62,617 / 2.0943951024
sphere radius^3 = 29,897.4152147556
sphere radius = 31.0368674154
sphere diameter = 62.1 cm (rounded to nearest tenth of a centimeters)
Answer:
62.1
Step-by-step explanation:
→ Set up an equation
[tex]\frac{2}{3}[/tex] × π × r³ = 62617
→ Divide both sides by π
[tex]\frac{2}{3}[/tex] × r³ = 19931.61014
→ Divide both sides by [tex]\frac{2}{3}[/tex]
r³ = 29897.41521
→ Cube root both sides
r = 31.03686742
→ Double the answer to find the diameter
31.03686742 × 2 = 62.1
What number should both sides of the following equation be multiplied by to solve for g? g divided by 2 = 4
Answer: Multiply both sides by 2.
Step-by-step explanation:
g divided by 2 is equal to 4 .
We could represent that with the equation :
[tex]\frac{g}{2} = 4[/tex] To solve for g in this case multiply both sides by 2.
[tex]\frac{g}{2} * 2 = 4(2)[/tex] 2 cancels out on the left side so we will be left with g. On the right side will be left with 8 after multiplying.
g = 8
Find the interquartile range of the data in the dot plot below. players blob:mo-extension://5f64da0e-f444-4fa8-b754-95
Answer:
[tex]IQR=Q_{3}-Q_{1}[/tex]
Step-by-step explanation:
The inter-quartile range is a measure of dispersion of a data set.
It is the difference between the third and the first quartile.
[tex]IQR=Q_{3}-Q_{1}[/tex]
The 1st quartile (Q₁) is well defined as the mid-value amid the minimum figure and the median of the data set. The 2nd quartile (Q₂) is the median of the data. The 3rd quartile (Q₃) is the mid-value amid the median and the maximum figure of the data set.
average age of 15 students of iub 11years if teacher is also included average age becomes 13 years how old is teachers
Answer: the teacher is 43
Step-by-step explanation: if you take 11 and multiply it by 15 you get 165 if you take 208 and divide it by 16 you get 13.
so basically you subtract 208 from 165 to get 43
Find the missing side or angle.
Round to the nearest tenth.
Answer:
a = 4.1Step-by-step explanation:
To find the missing side in the question, we use the cosine rule
That's
Since we are finding a we use the formula
a² = b² + c² - 2(b)(c) cos AFrom the question
b = 2
c = 4
A = 78°
Substitute the values into the above formula
We have
a² = 2² + 4² - 2(2)(4) cos 78
a² = 4 + 16 - 16 cos 78
a² = 20 - 16cos 78
a² = 16.67341
Find the square root of both sides
a = 4.0833
We have the final answer as
a = 4.1 to the nearest tenthHope this helps you
Ron has 22 coins with a total value of $ 1.85. The coins are nickels (5 cents) and dimes (10 cents). How many of each coin does he have?
Please help asap and thank you in advance!!
Answer:
18 dimes and 1 nickle
Step-by-step explanation:
This is because 18 time 10 is 180 and one of 5 add it and this is $1.85
Remeber a dollar is 100 cents
what are the coordinates of A,B and C
Answer:
Please display full question . your question is incomplete ..
Answer:
Step-by-step explanation:
Please display a picture
Is this a parallelogram
Answer:
Yes!
Step-by-step explanation:
Since it has four sides and has parallel sets of lines on each side.
can someone simplify 4x-3y please!!
Answer:
I think you should change it to 4x + 3y
Step-by-step explanation:
hope this helps
The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for college admissions in the United States. Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that qualifies for the scholarship?
Minimum Score:
Answer:
The score is [tex]x = 1884[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 1500[/tex]
The standard deviation is [tex]\sigma = 300[/tex]
From the question we are told that the score follow a normal distribution
i.e [tex]X \~ \ N( 1500 , 300)[/tex]
The proportion of score in the top 10% is mathematically
[tex]P(X > x ) = P( \frac{X - \mu}{\sigma } > \frac{x - \mu}{\sigma } ) = 0.10[/tex]
Where x is the minimum score required to be in the top 10%
Now the [tex]\frac{X - \mu}{\sigma } = Z (The \ Standardized \ value \ of \ X)[/tex]
So
[tex]P(X > x ) = P( Z > \frac{x - \mu}{\sigma } ) = 0.10[/tex]
So
[tex]P(X > x ) = P( Z > \frac{x - 1500}{300} ) = 0.10[/tex]
So the critical value of 0.10 from the normal distribution table is [tex]Z_{0.10} = 1.28[/tex]
So
[tex]\frac{x - 1500}{300} = 1.28[/tex]
[tex]x = 1884[/tex]
Please help me on question a
I would really appreciate it
Answer:
[tex]x = 3.6[/tex]
Step-by-step explanation:
To find the area of a rectangle, you multiply its length by its width. The formula is [tex]lw = a[/tex].
We already know the length, 5, and the area, 18, so we can plug it into the equation.
[tex]5\cdot w=18[/tex]
We can simplify this equation by dividing both sides by 5.
[tex]5\cdot w \div5 = 18\div5\\\\w = 3.6[/tex]
Hope this helped!
Answer: x= 13
Step-by-step explanation:
You have worked these hours this week: 5 4/5, 6 1/3, 8 2/5, 4 2/3. How many hours did you work
1472 minutes
OR
24 hours and 32 minutes
OR
1 day and 32 minutes
OR
1 day, half an hour, and 2 minutes
Using the addition operator, the total number of hours worked this week would be 26.65 hours
Given the work hours thus :
Converting to improper fraction :
29/4 + 19/3 + 42/5 + 14/3Taking the L. C. M ; = 60
(435 + 380 + 504 + 280) / 60
= 1599 / 60
= 26.65 hours.
Hence, total hours worked would be 26.65 hours.
Learn more : https://brainly.com/question/25686009
Jan has an investment account which compounds interest annually at a rate of 1.9%. After 5 years, she has $8320 in the
account. How much money did she initially place in the account? Round your answer to the nearest whole number. Do not
include a s in your answer.
Provide your answer below:
Factor the expression.
p^2 - 10pq + 16q^2
[tex]p^2 - 10pq + 16q^2=\\p^2-2pq-8pq+16q^2=\\p(p-2q)-8q(p-2q)=\\(p-8q)(p-2q)[/tex]