Answer:
4028054 is the last number when we operate it....
Please help. I cant figure it out
SAT scores are used by colleges and universities to evaluate undergraduate applicants. The test
scores are normally distributed. A random sample of 65 student scores has a mean of 1489 and
standard deviation of 306.
Find the 95% confidence interval for the population mean based on this sample and round to
two decimal places.
Using the t-distribution, it is found that the 95% confidence interval for the population mean is (1413.18, 1564.82).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 65 - 1 = 64 df, is t = 1.9977.
The parameters of the interval are given as follows:
[tex]\overline{x} = 1489, s = 306, n = 65[/tex].
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 1489 - 1.9977\frac{306}{\sqrt{65}} = 1413.18[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 1489 + 1.9977\frac{306}{\sqrt{65}} = 1564.82[/tex]
The 95% confidence interval for the population mean is (1413.18, 1564.82).
More can be learned about the t-distribution at https://brainly.com/question/16162795
{96/[36/3-(18 x 2 - 30)]} / (31-16+1)
Answer:
-1/2
Step-by-step explanation:
pemdas rules
1. 18 x 2 - 30 = 6
2. 3-6= -3
3. 36/-3 = -12
4. 96/-12 = -8
5. (31-16+1) = 16
6. -8/16 = -1/2
Solve This Quadratic:
7x²-26x-45
Answer:
(7x+9)(x-5)
Hope this helps!
In 2018, RAND Corporation researchers found that 71% of all individuals ages 66 to 69 are adequately prepared financially for retirement. Many financial planners have expressed concern that a smaller percentage of those in this age group who did not complete high school are adequately prepared financially for retirement.
In a random sample of 300 people from the 66-69 age group who did not complete high school, 165 were not prepared financially for retirement. What is the p-value for your hypothesis test (to 4 decimals)? If your answer is zero, enter "0".
Using the z-distribution, as we are working with a proportion, it is found that the p-value of the test is of 0.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of 71%, that is:
[tex]H_0: p = 0.71[/tex]
At the alternative hypothesis, it is tested if the proportion has decreased, that is:
[tex]H_1: p < 0.71[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.In this problem, we have that the parameters are:
[tex]n = 300, \overline{p} = \frac{165}{300} = 0.55[/tex]
Hence, the value of the test statistic is found as follows:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.55 - 0.71}{\sqrt{\frac{0.71(0.29)}{300}}}[/tex]
z = -6.11
What is the p-value of the test?Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -6.11, it is found that the p-value is of 0.
More can be learned about the z-distribution at https://brainly.com/question/26454209
please answer the question pls
Least to greatest questions 7 and 8
Answer:
7.
4.7 * 10^14 , 9.99 * 10^14 , 2.9 * 10^15 , 4.5 * 10^15
8.
9.99 * 10^-8 , 4.8 * 10^-8 , 9.99 * 10^-4 , 6.5 * 10^-4
Find the sticker price and the dealer's cost for the Bobcat SX with a base price of $13,568.00. Options include air conditioning for $765.00, turbo for $643.00, towing package for $236.00, and custom wheels for $422.00. Destination charges total $365.00. The dealer pays 90% of the base price and 65% of the options.
find the average rate of change of f(x) = 3x - 7 over the interval 1 ≤ x ≤ 5
Answer:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
Step-by-step explanation:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
Given the functions:
f (x) = -6x - 19
g(x) = -11x + 9
h (x) = 17x +4
Find f (3)
Answer:
f(3) = -37
Step-by-step explanation:
f (x) = -6x - 19
Let x = 3
f (3) = -6*3 - 19
= -18-19
= -37
NO LINKS!!!
Three statements were made about each problem. Two are true and one is false. Mark each statement as true or false and rewrite the false statement to make it true.
Answer:
Step-by-step explanation:
Answer:
1) True, True, False
Rewritten statement: 46,013.86 cm³ of water was used to fill 40 balloons
2) False, True, True
Rewritten statement: The formula [tex]\sf V= \sf \dfrac43 \pi (2.4)^3[/tex] can be used to find the volume of the model of Earth.
3) True, False, True
Rewritten statement: The volume of all the basketballs is 13,467.62 in³
Step-by-step explanation:
Question 1[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]
Given:
r = 6.5 cmSubstituting the given radius into the formula:
[tex]\begin{aligned}\implies \sf V & = \sf \dfrac43 \pi (6.5)^3\\\\& =\sf \dfrac{2197}{6} \pi \\\\& = \sf 1150.35\: cm^3 \:(nearest\:hundredth)\end{aligned}[/tex]
[tex]\textsf{Volume of 40 balloons}=\sf 40 \times \dfrac{2197}{6} \pi=46013.86\:cm^3\:(nearest\:hundredth)[/tex]
Rewritten statement: 46,013.86 cm³ of water was used to fill 40 balloons
-------------------------------------------------------------------------------------------------------
Question 2[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]
Earth
Given:
diameter = 4.8 cm ⇒ r = 2.4 cmSubstituting the given radius into the formula:
[tex]\implies \sf V= \sf \dfrac43 \pi (2.4)^3[/tex]
[tex]\implies \sf V=57.91\:cm^3\:(nearest\:hundredth)[/tex]
Rewritten statement:
The formula [tex]\sf V= \sf \dfrac43 \pi (2.4)^3[/tex] can be used to find the volume of the model of Earth.
Saturn
Given:
diameter = 45.6 cm ⇒ r = 22.8 cmSubstituting the given radius into the formula:
[tex]\implies \sf V= \sf \dfrac43 \pi (22.8)^3[/tex]
[tex]\implies \sf V=49647.02\:cm^3\:(nearest\:hundredth)[/tex]
Difference between models= 49,647.02 - 57.91 = 49,589.11 cm³
-------------------------------------------------------------------------------------------------------
Question 3[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 21 inh = 54 inSubstituting the given values into the formula:
[tex]\implies \sf V=\pi (21)^2(54)[/tex]
[tex]\implies \sf V=23814\pi[/tex]
[tex]\implies \sf V=74813.89\:in^3\:(nearest\:hundredth)[/tex]
[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]
Given:
diameter = 9.5 in ⇒ r = 4.75 in30 basketballs[tex]\begin{aligned}\textsf{Volume of all 30 basketballs} &=\sf 30 \times \dfrac{4}{3}\pi (4.75)^3\\ & =\sf 13467.62\:in^3\:(nearest\:hundredth)\end{aligned}[/tex]
Rewritten statement: The volume of all the basketballs is 13,467.62 in³
Empty space in the container = volume of container - volume of basketballs
⇒ 74813.89 - 13467.62 = 61,346.27 in³
A store is having a sale to celebrate President's Day. Every item in the store is advertised as one-fifth
off the original price. If an item is marked with a sale price of $140.00, what is the original price?
Please help me understand the question
Answer:
180 units^2
Step-by-step explanation:
The formula to find the area of a sphere is:
A=4(pi)(r)^2
A sphere with radius 2r has an area = 4π(2r)² = 4π.4r² = 16πr²
The ratio of the larger sphere to the smaller = 16πr² : 4πr² = 4 : 1
If the area of the smaller sphere is 45 units then the area of the larger sphere is 45 x 4 = 180 units^2.
hope this helps :)
What integer best represents
a withdrawal of $85?
Answer:
the answer is -85 good luck on your test or honework :)
which of the following is an algebraic equation. a. 10+5=15. b. 10x+5=15. c. 10x+5. d. 10+5
Help please! Again this is the last question
what is the perimeter of a rectangular playground 30 m long and 24 m wide
Answer:
108m
Step-by-step explanation:
2 sides are 30m long and 2 sides are 24m long.
Add all 4 sides of the playground to find the perimeter.
30m + 24m + 30m + 24m = 108 m
The measure of one acute angle in this right triangle is 28°.
What is the measure of the other acute angle?
A. 22°
B. 28°
C. 32°
D. 62°
Answer:
[D] 62°
Step-by-step explanation:
A right triangle = 90 degree angle
A triangle = 180 degrees
Therefore,
90 + 28 = 118
180 - 118 = 62
Hence, the measure of the other acute angle is 62
Thus, the answer is [D] 62 degree
Kavinsky
Answer:
D. 62
Step-by-step explanation:
Which choice is equivalent to the expression below?
√-125
A. 5i√5
B. -5i
C. 5i√-5
D. 5i
E. √125
Answer:
5i√5
Step-by-step explanation:
Remark
125 factors
It is factored into 5*5*5
The rule for √5*5*5 is that two can be taken outside the square root sign. I is placed in front of the root sign like 5√ and the other 5 is thrown away.
The remaining 5 is left under the root sign
As usual
√-1 is i is taken outside the root sign
Solution
5i √5 is what you get.
Зу - 10 < 11
How to solve
Answer:
y<7
Step-by-step explanation:
3y-10 < 11 add 10 to both sides of the equation
3y < 21 divide by 3
y < 7
I NEED HELP WITH NUMBER 7
Answer:
c po
because that is the answer in the bakc of my module hope its help
Evaluate tan (x + pi/2) for x = pi/2
Answer:
0
Step-by-step explanation:
tan(x + [tex]\frac{\pi }{2}[/tex] ) ← substitute x = [tex]\frac{\pi }{2}[/tex]
tan([tex]\frac{\pi }{2}[/tex] + [tex]\frac{\pi }{2}[/tex] )
= tanπ
= 0
FIND THE RADIUS OF THE SHPERE WITH THE GIVEN VOLUME?
562.5π in.³
Answer:
Radius = 7.5 inStep-by-step explanation:
In the question we have given volume of Sphere that is 562.5 π in³ and we have asked to find the radius of given sphere. We know that the volume of sphere ,
[tex] \blue{ \boxed{ \rm{Volume \: of \: Sphere = \frac{4}{3} \pi r {}^{3} }}}[/tex]
So equating it with given volume for finding the radius of sphere :
[tex] \longmapsto \: \frac{4}{3} \pi r{}^{3} = 562.5\pi[/tex]
Step 1 : Cancelling π as it was present in both side :
[tex]\longmapsto\:\frac{4}{3} \cancel{\pi }r{}^{3} = 562.5 \cancel{\pi}[/tex]
Step 2 : Transposing 4/3 to right hand side :
[tex]\longmapsto \: r {}^{3} = 562.5 \times \frac{3}{4} [/tex]
Step 3 : Multiplying 562.5 with 3 :
[tex]\longmapsto \:r {}^{3} = \frac{1687.5}{4} [/tex]
Step 4 : Dividing 1687.5 by 4 :
[tex]\longmapsto \:r {}^{3} = 421.875[/tex]
Step 5 : Finding cube root of 421.875
[tex]\longmapsto \:r = \sqrt[3]{421.875} [/tex]
Step 6 : We get :
[tex]\longmapsto \: \red{ \boxed{r = 7.5}}[/tex]
Therefore , radius of sphere is 7.5 inches .#Keep LearningMr. Smith has 847 gallons of paint. If he uses 1/3 of his paint to paint his fence, how much paint did use to paint his fence?
Answer:
282.3 gallons
Step-by-step explanation:
if needed you can round to 282
Find the sum of the first 150 positive even integers.
Answer:
Sum of first 150 positive even integers is 22650Step-by-step explanation:
We know that first 150 postive even Integers are 2,4,6,8,10... 300.
Here,
First term (a) = 2 Comman difference (d) = 4 - 2 = 2 Total terms (n) = 150Last term (aₙ) = 300[tex]\\[/tex]
Substituting values in the formula:
[tex] \\ :\implies \sf \: \: S_{n} = \dfrac{n}{2} (a + a_{n}) \\ \\[/tex]
[tex] :\implies \sf \: \: S_{n} = \dfrac{150}{2} (2 + 300) \\ \\ [/tex]
[tex] :\implies \sf \: \: S_{n} = 75(302) \\ \\ [/tex]
[tex] :\implies \: \:{ \underline{ \boxed{ \pmb{ \pink { \rm{S_{n} = 22650 }}}}}} \\ \\[/tex]
Sum of first 150 positive even integers is 22650Answer:
The number series 2, 4, 6 , 8. . . . , 150.The first term (a) = 1The common difference (d) = 4 – 2 = 2Total number of terms (n) = 150last term (an) = 300Formula for finding sum of nth terms =
n/2 × (a + an)
putting the known values ,
Sum = 150/2 × ( 2+300)
Sum = 75 × 302
Sum of first 150 positive even integers = 22650
Find the area of the circle shown.
Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
radius is 1.5 cm
Answer:
7.1 cm^2
Step-by-step explanation:
Area = pie * radius^2
Area = pie * 1.5^2
= 7.0685
Answer: 7.1 cm ^2
Step-by-step explanation:
Help! please last question
Step-by-step explanation:
The centroid O cuts every median in the ratio 2:1. The distance between a vertex and the centroid is twice the distance between the centroid and the midpoint of the opposite side.
Therefore: |OD| = 2|OCI
3x-2=2(5x)
3x-2=10x
7x=-2
x=(-2/7)
A straight waterslide is 175 feet above ground and is 200 feet long. What is the angle of depression to the bottom of the slide?
Step-by-step explanation:
see this this will help you
Find the product of the following by writing one of numbers as the sum or difference of two numbers -
785*105
1006*95
3096*91
Answer:
Step-by-step explanation:
Use distributive property: a*(b+c) =a*b +a*c
1) 785 * 105 = 785 * (100 + 5)
= 785*100 + 785*5
= 78500 + 3925
= 82425
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2) 1006 * 95 = (1000 + 6) *95
= 1000*95 + 6*95
= 95000 + 570
= 95570
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3) 3096*91 = 3096 * (100 - 9)
= 3096*100 - 3096*9
= 309600 - 27864
= 281736
A cylinder and its dimensions are shown in the diagram. Which equation can be used to find V, the volume of the cylinder in cubic centimeter? I think A. is the answer :)
Answer: it’s simply a
Step-by-step explanation: X =bsquare