Answer:
The margin of error is of [tex]2.262\frac{6}{\sqrt{10}} = 4.29[/tex]
Step-by-step explanation:
We have the standard deviation for the sample. So the T-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.262
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.262\frac{6}{\sqrt{10}} = 4.29[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]
The given parameters are:
Sample size = 10Mean = 38Standard deviation = 6Confidence Interval = 95%The margin of error is calculated using:
[tex]E = z_y \times \frac{\sigma}{\sqrt n}[/tex]
So, we have:
[tex]E = z_y \times \frac{6}{\sqrt {10}}[/tex]
The quantile at 95% confidence interval is 2.262
So, the equation becomes
[tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]
Hence, the equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]
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pls help me on this.......
Hey there!
Your answer is [tex]-4x+7[/tex]
Here are the steps to solve:
Given:
[tex]-5x-(x-7)[/tex]
Distribute negative sign:
[tex]-5x+x+7[/tex]
Add like terms:
[tex]-4x+7[/tex]
Have a great day! Hope it helped!
Among all pairs of numbers whose sum is 6, find a pair whose product is as large as possible.
What is the maximum product?
Answer:
The pair of numbers is (3,3) while the maximum product is 9
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3
Step-by-step explanation:
hope this helps :)
Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?
You treat your friend to lunch. The food bill was $30.24. A 7% sales tax will be added and you want to leave a 20% tip.
a. Find the sales tax.
b. Find the tip.
c. Find the total amount you pay for lunch.
Answer:
a. $2.12
b. $6.45
c. $38.81
Step-by-step explanation:
a.
I'll convert 30.24 and 7% into fractions.
756/25 * 7/100
Cross cancel 756 and 100 (GCF is 4)
189/25 * 7/25
Convert above into a single fraction
(189 * 7)/(25 * 25)
Multiply 189 by 7, then 25 by 25.
1323/625
Divide, then round to the nearest cent
$2.1168 ≈ $2.12 in sales tax
b.
Like before, I'll convert $32.26 ($30.24 + $2.12) and 20% into fractions.
1613/50 * 1/5
Multiply 50 by 5.
1613/250
Divide, then round to the nearest cent.
$6.452 ≈ $6.45 in tip money
c.
This is probably the simplest part of the 3. Just add $30.24 + $2.12 + $6.45.
$30.24 + $2.12 + $6.45
$32.36 + $6.45
You pay a total of $38.81 for lunch.
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01.
(a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
(b) x = 53 and s = 4.6
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) x = 56 and s = 5.0
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Answer:
Step-by-step explanation:
Given that:
[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]
(a) For x = 54 and s = 5.3
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]
Z = -1.132
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-1.132,35,1) = 0.1326
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
b
For x = 53 and s = 4.6
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]
Z = -2.6087
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-2.6087,35,1) =0.0066
Decision: p-value is < significance level; we reject the null hypothesis.
[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]
c)
For x = 56 and s = 5.0
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
Z = 1.2
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(1.2,35,1) = 0.88009
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
What is - 0.9 as a decimal
Answer: -0.9 as a decimal is -0.9
but if you meant as a fraction, then it's -9/10
Step-by-step explanation:
Answer:
0.9
Step-by-step explanation:
There Are Several Ways To Write 0.9.
1) 0.9
2)0.90
3)9/10
4)90/100
Hope this was able to help you!
-TheAnimeCatUwU
#LearnWithBrainly
Determine whether the given procedure results in a binomial distribution. If not, state the reason why?
Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.
a. Not binomial: the trials are not independent.
b. Not binomial: there are more than two outcomes for each trial.
c. Procedure results in a binomial distribution.
d. Not binomial: there are too many trials.
Answer:
b. Not binomial: there are more than two outcomes for each trial.
Step-by-step explanation:
Binomial probability distribution:
We need
Fixed number of trials.
Independent trials.
Each trial can be reduced to a yes/no proposition.
Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.
There are six possible outcomes(1,2,3,4,5,6), so cannot be reduced to a yes/no proposition, and the answer is given by option b.
ignore this:isnsjsbjs sjsdjsnsnssnsnnsnsns
Answer:
4
Step-by-step explanation:
i dont wanna explain but the answer is 4
A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the second course is 0.7. The probability she passes at least one of the courses is 0.79. Give your answer to four decimal places. a. What is the probability she passes both courses
Answer:
0.58 = 58% probability she passes both courses
Step-by-step explanation:
We can solve this question treating the probabilities as a Venn set.
I am going to say that:
Event A: She passes the first course.
Event B: She passes the second course.
The probability she passes the first course is 0.67.
This means that [tex]P(A) = 0.67[/tex]
The probability she passes the second course is 0.7.
This means that [tex]P(B) = 0.7[/tex]
The probability she passes at least one of the courses is 0.79.
This means that [tex]P(A \cup B) = 0.79[/tex]
a. What is the probability she passes both courses
This is [tex]P(A \cap B)[/tex].
We use the following relation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]
0.58 = 58% probability she passes both courses
The sum of eight and twice a number is 42
Answer:
8 + 2n = 42
Step-by-step explanation:
the sum of eight: ___+ 8
and twice(2) a number(could be any variable but for now i choose n): 2n + 8
is 42 (literally mean it equals 42): 2n + 8 = 42
I need help with this can someone help
My work:
3x4=12
12+12=24
6-4=2
2+2+2=6
24÷6=4
Your answer:
4
Hope this helps!
-Alex
Answer:
18.
Step-by-step explanation:
3 x 4 = 12, 12 times 12 equals 144, 6 - 4 equals 2, and 2 times 2 times 2 is 8, and 144 / 8 = 18.
I TYPED IN THE ANSWER CAN SOMEONE CORRECT IF IT IS WRONG?
Answer: No you are not wrong
Step-by-step explanation:
A circle has a radius of 15 feet. What is the area of
the circle?
Answer:
A = 706.5 ft 2
Step-by-step explanation:
A = π ( 15 ft ) 2
A = π 225ft 2
A = 225 π ft 2
A = 225 ⋅ 3.14 ft 2
A cylinder with radius 7 centimeters and height 9 centimeters has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder .
Answer:
16 times larger
Step-by-step explanation:
A family of 4 bought 6 bags of peanut
Answer:
24
Step-by-step explanation:
Um. I guess you just multiply 6 x 4 and you get 24
solve using any method 4x-y=20 and -2x-2y=10
Answer:
if you're trying to find the slope, it is (3, -8) were you looking for the slope?
Step-by-step explanation:
i hope this helps, have a great day:)
Answer: the answer is x =3, y = -8
Step-by-step explanation:
A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?
12 fishes are in the tank
A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?
Answer:
Step-by-step explanation:
12angelfish(8fish/3angelfish)=32 fish
Gabin takes care of the management of the electricity department of a DIY store. He contacts his wholesaler for an order of electrical products. The wholesaler tells him that the net purchase price will be E7,825, to which must be added a purchase charge of E 325 1. Indicate how to obtain the purchase cost. 2. Calculate the cost of purchasing electrical products.
Answer:
I have no clue.,...
.....
A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?
Hello!
[tex]\large\boxed{t = -8}[/tex]
We can find the value of t using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the given slope and coordinates into the appropriate places:
[tex]5 = \frac{2-t}{3-1}[/tex]
Simplify:
[tex]5 = \frac{2-t}{2}[/tex]
Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:
[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]
can you answer this
Answer:
B. 7ab²c
Step-by-step explanation:
The GCF of 21a²b^4c and 49ab²c³ is
7ab²c
Answer:
The correct answer is b.
Mr. Alpert’s house has 40 windows. Kids playing baseball outside the house broke 10% of the windows.
Answer:
Step-by-step explanation:
Number of windows broken = 10% of 40
[tex]= \frac{10}{100}*40\\= 4[/tex]
Answer:
4 windows are broken
Step-by-step explanation:
find the area of the shaded region under the
standard normal curve. If convenient, use technology to find the area
Answer
The area of the shaded region under the standard normal curve is 0.4834.
Step-by-step explanation:
A random variable X is said to have a normal distribution with mean, µ and variance σ².
Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variates is known as the standard normal distribution.
Compute the area under the curve between -2.13 and 0 as follows:
Thus, the area of the shaded region under the standard normal curve is 0.4834.
f(x) = x^2. What is g(x)?
What is the force of an object with a mass of 30 kg and an acceleration of 10 m/s2?
The answer is 300N
PLEASE HELP!!!
question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)
(2x + 3)(4x − 1) = 8x^2 +10x − C
Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)
(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2
question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)
(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4
The value of C is -3 and the value of B is 5
ExpansionGiven the expression
(2x + 3)(4x − 1)
On expansion, ww will have:
(2x + 3)(4x − 1) = 8x^2 - 2x + 12x - 3
(2x + 3)(4x − 1) = 8x^2 + 10x - 3
Hence the value of C is -3
For the expression (x + 2)(2x^2 + x − 1)
Expnd
(x + 2)(2x^2 + x − 1) = 2x^3 + x^2 - x + 4x^2 + 2x - 2
(x + 2)(2x^2 + x − 1) = 2x^3+ 5x^2 +x - 2
Hence the value of B is 5
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Triangle MNQ is similar to triangle MLP. Determine the length of LP.
a. 2 inches
b. 9 inches
c. 12 inches
d. 16 inches
we can establish a ratio since triangle MNQ is equal to Triangle MLP.
your answer is B 9 inches
A chemist examines 17 sedimentary samples for lead concentration. The mean lead concentration for the sample data is 0.268 cc/cubic meter with a standard deviation of 0.069. Determine the 80% confidence interval for the population mean lead concentration. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value that should be used in constructing the confidence interval is T = 1.337.
The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 17 - 1 = 16
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.337, which is the crical value.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.337\frac{0.069}{\sqrt{17}} = 0.022[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.268 - 0.022 = 0.246 cc/cubic meter
The upper end of the interval is the sample mean added to M. So it is 0.268 + 0.022 = 0.29 cc/cubic meter
The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter
how many miles per hour does it take to go 160 miles in 4.5 hours
Part E Find half of the time that Devon skied without falling, and write inequalities to compare it with the times others in the family skied without falling.
Answer:
For Half of Devon's Time you would put 172 divide by 2 equals 186. For comparison:
kelvin 223>86
Lori 55<86
Vanessa 265>86
Celia 112>86
Arnold 356>86
Step-by-step explanation:
Solve 3(x + 1) = −2(x − 1) − 4
-1
1
-3
5
Answer:
x = -1
Step-by-step explanation:
3(x + 1) = -2(x - 1 ) - 4
use the distributive property to get rid of the parentheses. on -2 and -1 they cancel each other out so it becomes + 2. now you have:
3x + 3 = -2x + 2 - 4 (+2 and -4 are like terms so they become -2. so technically its 3x + 3 = -2x -2)
get +3 on the other side by subtracting it from itself and then subtracting it from -2 so it becomes -5.
3x = -2x - 5
get -2x on the other side by adding 2x to itself then adding 2x to 3x so it becomes 5x
5x = -5
divide 5 from -5 and you get x = -1