Answer:
The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645*\frac{4}{\sqrt{10}} = 2.08[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 62 - 2.08 = 59.92
The upper end of the interval is the sample mean added to M. So it is 62 + 2.08 = 64.08.
The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.
Suppose that a leatherback turtle swam 7.5 kilometers in 3 hours at a constant speed. At this rate, how long would it take the turtle to swim 10 kilometers ? How many kilometers per hour did the turtle swim? Explain
Answer: It would take the turtle a total of 4 hours to swim 10 kilometers
Step-by-step explanation:
3 × 10 = 30
30 ÷ 7.5 = 4
help plz 5 stars rates 10 points
Answer:
A!!!!
Step-by-step explanation:
17 = 9 + 2r
r = what
Answer:
r = 4
Step-by-step explanation:
17 = 9 + 2r subtract both sides by 9
8 = 2r divide both sides by 2
4 = r
Answer:
r=4
Step-by-step explanation:
You have to get r on one side so you subtract nine on both sides to get rid of it so 8=2r
then you divide 2 m both sides and r=4
Find the components of the vector v with initial point P and terminal point Q. Find the unit vector u in the direction of v.
a. P: (1,1,0), Q: (6,2,0)
b. P: (1,1,1), Q: (2,2,0)
Answer:
Step-by-step explanation:
v=Q-P
v=(5,1,0)
u=v/(magnitude of v)=(5,1,0)/(\sqrt{5^2+1^2+0^2)
u=(5/5.09,1/5.09,0)
v=Q-P
v=(1,1,0)
u=v/(magnitude of v)=(1,1,0)/(\sqrt{1^2+1^2+0^2)
u=(1/[tex]\sqrt{2}[/tex],1/[tex]\sqrt{2}[/tex],0)
Simplify the expression:
4va^6b^4c^8
a.a^3/2 bc^2
C.a^24 b^16 c^32
b.a^3 b^2 c^9
d.a^2/3/bc^2
Answer is a if I am not mistaken
Answer:
answer a
Step-by-step explanation:
Solve for x and then determine the measure of the exterior angle.
Answer:
B
Step-by-step explanation:
This is a straight line which the interior and exterior angle, so they both must add up to 180 degrees.
180 - 60 = 120
120 = 4x + 20
100 = 4x
25 = x
subtract -4 - -7 algebra
Answer:
3Step-by-step explanation:
-4 - ( -7 ) = 3
Hope this helps! <3
Answer:
3
Step-by-step explanation:
I know it may seem confusing that two negative numbers can become a positive number but it is correct! When doing this equation, the -7 becomes positive so you just have to do -4+7. Which equals 3! It's a really simple question but don't be afraid to ask for more help if you don't understand it still<3
A person invested $680 in an account growing at a rate allowing the money to double every 13 years. How much money would be in the account after 27 years, to the nearest dollar?
Answer:2869
I kno :)
In 2000 The average cost of a world series ticket was $450. This is $180 more than the cost of a 2007 ticket how much was a ticket in 2007
Answer:
A ticket would be $270 in 2007
what transformation of f(x) will result in g(x) ?
Answer:
Vertical stretch across the y-axis, reflection across the x-axis, horizontal shift 2 units to the left, and vertical shift 1 unit down
An auditorium is designed in such a manner that an additional seat is added to each row. If the theater has 46 rows and the last row contains 56 seats, then how many people could be seated in the auditorium?
Answer:
Step-by-step explanation:
Given that they give us how many seats are in the last row we know that each row contains 56 seats and we have 46 rows. If you multiply 56 by 46 you get 2,576. If a seat is added to each row there are 46 seats you must add to 2,576. This will make your answer 2,622
2,640/k=11 what is the value of k
Answer:
240
Step-by-step explain
so
k = 2640/11 = 240
2640/240 = 11
Erin had $35 more than Angie who had 3 times as much money as Jacob. If they had $196 altogether, how much money did each have?
Answer:
$23
Step-by-step explanation:
let j be jacob"s money
Then angie is 3j, and Erin is 3j+35 so 7I
=161
j=23
Answer: Erin - $104; Angie - $69; Jacob - $23.
(please give me brainlest ❤️)
Step-by-step explanation:
JACOB has least amount of money, so let's say that he has :
x amount of money
ANGIE has 3 times more than jacob:
Angie has 3x
ERIN has $35 more money than Angie:
3x+35
their money together is $196, that means if we add all of their money, it will be equivalent of 196:
3x+35+3x+x=196
now lets find x value.
put all the xes on right side and all known numbers on left side.
i think u know that when it goes to another side it changes sign; for example - makes + and × makes /
3x+35+3x+x=196
7x=161
x=161/7
x=23
now plug x values for each kid:
so Jacob had x=23
Angie had 3x=3×23=69
and Erin had 3x+35=69+35= 104
lets check our answer:
23+69+104=196
196=196
so sum of their money really gives us $196.
on sale, boxes of cereal cost $11 for 4 boxes, $24.75 for 9 boxes, and $33 for 12 boxes. Predict the cost of twelve boxes.
Answer:
omg this is so eaasy like u need tia tammera
Step-by-step explanation:
Answer:
$33(the answer is $33)
The ages (in years) of a random sample of shoppers at a gaming store are given below: 12 19 23 14 20 16 21 18 14 19 What is the variance
Answer: the required variance is 11.6555
Step-by-step explanation:
Given data;
xi = 2 19 23 14 20 16 21 18 14 19
mean x" = 2+19+23+14+20+16+21+18+14+19 / 10
mean x" = 166 / 10 = 16.6
so;
X xi - x" (xi - x")²
12 -4.9 24.01
16 -0.9 0.81
23 6.1 37.21
13 -3.9 15.21
18 1.1 1.21
18 1.1 1.21
19 2.1 4.41
18 1.1 1.21
13 -3.9 15.21
19 2.1 4.41
Total 104.9
Variance = n_i=1∑(xi - x")² / n-1
Variance = 104.9 / 9
Variance = 11.6555
Therefore, the required variance is 11.6555
Read the article below carefully and answer the question that follows.
On the morning of July 15, 2006, fourteen school buses were vandalized. The buses, property of Walt Whitman Middle School, were parked in the "bus barn" on campus. The vandals spray-painted the buses with pictures of dogs. Dogs happen to be the mascot of rival school Edgar Allan Poe Academy. This has led some to believe that some students from EAPA may be the culprits in the incident. Says the mother of one Walt Whitman student, "Oh, yeah, the [Edgar Allan] Poe [Academy] kids are definitely responsible. Those kids don't have any discipline, and they're still stewing over the loss of last week's football game." Police, however, say that they currently have no suspects.
This article is probably NOT from a mainstream news source.
True
False
STUV is a parallelogram. Solve for x.
Question 2 options:
A) 10
B) 16
C) 12
D) 70
Answer:
X = 10
Step-by-step explanation:
According to the property of parallelogram
We know that, sum of angles at a same line is
180°
[tex]35 + (14x + 5) = 180[/tex]
[tex]40 + 14x = 180[/tex]
[tex]14x = 140[/tex]
[tex]x = \frac{140}{14} [/tex]
[tex]x = 10[/tex]
Hope this helps u... ^_^❤️
Find AC. PLEASE HELP!
Answer: Hello! My guess would be 7. Sorry, if I'm wrong.
Step-by-step explanation: Count the jumps between A and C.
GiViNg BrAiNlIsT Match the vocabulary word with the correct definition.
1. constant of variation
a two-dimensional system in which a location is described by its distance from two intersecting, perpendicular axes
2. coordinate plane
principle that states that the number of outcomes for a compound event is found by multiplying the total number of outcomes for each event together
3. counting principle
the rate of change in a direct variation; also known as constant of proportionality
4. compound event
an event consisting of two or more events that can happen at the same time or one after the other
5. dependent events
compound events in which one event affects the likelihood of the other event
Answer:
1. coordinate plane, 2. counting principle, 3. constant of variation, 4. compound event, 5. dependent events
Find the size of angle XYZ give your answer to 1 decimal place
Step-by-step explanation:
angle x=90°
xz=opposite
xy=adjacent
zy=hypotenuse
we neee to find acute angle
y°=(7/12)=0,58(3)
Applying the cosine ratio, CAH, the size of angle XYZ, to 1 decimal place is calculated as: 54.3°.
What is the Cosine Ratio?To solve a right triangle by relating the adjacent side to the hypotenuse, the cosine ratio is applied, which is: cos ∅ = adjacent/hypotenuse.
Given the parameters:
∅ = angle XYZHypotenuse = 12 cmAdjacent side = 7 cmApply the cosine ratio:
Cos (XYZ) = 7/12
Angle XYZ = cos^(-1)(7/12)
Angle XYZ = 54.3°
Learn more about the cosine ratio on:
https://brainly.com/question/15793827
#SPJ5
make b the subject of the formula a=squareroot of b+16
Step-by-step explanation:
a=
[tex] a = \sqrt{b + 16} \\ a { }^{2} = b + 16 \\ b = a {}^{2} - 16[/tex]
The travel-to-work time for residents in Ventura County is unknown. Assume the population variance is 39. How large should a sample be if the margin of error is 1 minute for a 93% confidence interval
Answer:
A sample size of 128 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.93}{2} = 0.035[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.035 = 0.965[/tex], so [tex]z = 1.81[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population(square root of the variance) and n is the size of the sample.
How large should a sample be if the margin of error is 1 minute for a 93% confidence interval
We need a sample size of n, which is found when [tex]M = 1[/tex]. We have that [tex]\sigma = \sqrt{39}[/tex]. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.81*\frac{\sqrt{39}}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.81\sqrt{39}[/tex]
[tex](\sqrt{n})^2 = (1.81\sqrt{39})^2[/tex]
[tex]n = 127.8[/tex]
Rounding up
A sample size of 128 is needed.
ABCD is a rhombus, where m∠AED = 5x – 10. Use the properties of a rhombus to determine the value of x.
Question 6 options:
A) x = 16
B) x = 20
C) x = 5
D) x = –2
Answer:
Option b
Step-by-step explanation:
According to the property of rhombus at Centre it have 90°
So,
[tex](5x - 10) {}^{o} = 90 {}^{o} [/tex]
[tex]5x = 90 + 10[/tex]
[tex]5x = 100[/tex]
[tex]x = \frac{100}{5} [/tex]
[tex]x = 20[/tex]
Hope this helps u ^_^
Select the graph that represents the equation
the algebraic expression for "the quotient of 63 and x"
Answer:
63/x
63 divided by x
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
1+!3245
-2y + 6 = -12
what is y?
Answer:
y=3
Step-by-step explanation:
-12+6=-6
-6/-2=3
Shelby keeps all her vacation pictures in 2 photo albums. One of the photo albums is 2/3 full and the other is 5/6 full. How much of the photo albums are full?
Answer: 1 1/2
Step-by-step explanation:
What is equivalent to 16a + 20
Answer: [tex]16a + 20[/tex]
Step 1: Combine Like Terms.
We have no Like Terms here, so we will leave the equation how it is.
If we leave the equation how it is, we still get [tex]16a + 20[/tex].
Therefore, our answer is still 16a + 20
Multiple Choice
Find the area of the trapezoid,
14 mm
15 mm
36 mm
O A. 270 mm?
<
OB. 375 mm
O C. 750 mm
O D. 3780 mm?
PLEASE HELP
Answer:
The answer is B
Step-by-step explanation:
The formal is A = a+b/2 time h
You just substitute the variables and get the answer
PLZZZZ HELPPP I NEED ANSWERS!!!
the bottom one is x2 ....