Answer:
The null and alternative hypothesis for this study are:
[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]
The null hypothesis is rejected (P-value=0.004).
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]
The significance level is 0.05.
The sample has a size n=150.
The sample mean is M=18200.
The standard deviation of the population is known and has a value of σ=1400.
We can calculate the standard error as:
[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624[/tex]
This test is a left-tailed test, so the P-value for this test is calculated as:
[tex]P-value=P(z<-2.624)=0.004[/tex]
As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
What is 4/12 x 70.please help me
Answer:
70/3
Step-by-step explanation:
Your welcome :)
Step-by-step explanation:
4 / 12 = 1/3 = 0.33
0.33 x 70 = 23. 33
What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.
Answer:
Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term
24x3=72
subtract 72 to find the term
8-72=-64
Should be -64 but we will still continue the pattern to double check
8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64
-64 is the 25th term
Hope this helps
Step-by-step explanation:
A local retailer claims that the mean waiting time is less than 8 minutes. A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes. At α = 0.01, test the retailer's claim. Assume the distribution is normally distributed. Round the test statistic to the nearest thousandth.
Answer:
The claim is not true
Step-by-step explanation:
We are given that A local retailer claims that the mean waiting time is less than 8 minutes.
[tex]H_0:\mu=8[/tex]
[tex]H_a:\mu<8[/tex]
A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes.
[tex]\bar{x}=6.3[/tex]
s = 2.1
n = 20
Since n <30 and population standard deviation is unknown
So,we will use t test
So,[tex]t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t=\frac{6.3-8}{\frac{2.1}{\sqrt{20}}}[/tex]
t=-3.62
α = 0.01
Degree of freedom = df=n-1=20-1=19
[tex]t_{df,\frac{\alpha}{2}}=t_{19,\frac{0.01}{2}}=2.861[/tex]
t calculated < t critical
So, we failed to reject null hypothesis
Hence the claim is not true
For the functions f(x)=6x−4 and g(x)=2x2+5, find (g∘f)(x).
Answer:
72x^2-96x+37
Step-by-step explanation:
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
Answer:
-66
Step-by-step explanation:
There will be $66 left after the $12 spent on lunch. 66 + -66 = 0
The number could be -66 combined with the amount left in the account to make zero.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Student has $78 in his checking account
Student spends $12 on lunch
Let, the number is x
78 + x - 12 = 0
x = - 66
Learn more about Arithmetic operations here:
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the midpoint of AB is point P at (-16,6) if point A is at (-10,8) what are the coordinates of point B?
Answer:
Denote B(x, y), we have:
-10 + x = 2 x (-16) => x = -22
8 + y = 2 x 6 => y = 4
=> B(-22, 4)
Hope this helps!
:)
Find two numbers for which the sum is 101 and the difference is 47
Answer:
74 and 27
Step-by-step explanation:
let x and y be the numbers
x + y =101........eqn 1
x - y = 47.......eqn 2
solve simultaneously
from equation 2, make x the subject
x= 47 + y........eqn 3
put eqn 3 into eqn 1
(47+y) + y = 101
47 + 2y = 101
2y= 101 - 47
2y=54
y= 54/2
y= 27
put y=27 into eqn 3
x = 47 + 27
x = 74
A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours.
Language
Spanish French German
System 1 9 12 13
13 16 17
System 2 9 15 19
13 17 25
Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05.
Complete the following ANOVA table (to 2 decimals, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Factor A
Factor B
Interaction
Error
Total
The p-value for Factor A is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 18
What is your conclusion with respect to Factor A?
- Select your answer -Factor A is significantFactor A is not significantItem 19
The p-value for Factor B is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 20
What is your conclusion with respect to Factor B?
- Select your answer -Factor B is significantFactor B is not significantItem 21
The p-value for the interaction of factors A and B is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 22
What is your conclusion with respect to the interaction of Factors A and B?
Answer:
The ANOVA table and the solution are attached below
Which expression is equivalent to m n + z?
n m + n
z + m z
m z + n
z + n m
Answer:
z + n m
Step-by-step explanation:
These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.
If this answer is correct, please make me Brainliest!
Answer:
It's "c"
Step-by-step explanation:
i just did this on edge
Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?
Answer: Equilateral, isosceles and scalene.
Step-by-step explanation:
If a binomial is A polynomial, Then a poly nominal is a binomial. Is this always, sometimes, or never
Sometimes true. Take for example the trinomial [tex]x^2+2x-3,[/tex] which is a polynomial but not a binomial. On the other hand, one polynomial that satisfies the statement is the binomial [tex]x+2.[/tex]
If a shirt costs $40 and the amount of tax collected was $2 what is the sales tax rate?
Answer:
5%
Step-by-step explanation:
To find the tax, we take the price times the tax rate
2 = 40* rate
Divide each side by 40
2/40 =rate
.05 = rate
Changing to percent form
5% = rate
Answer:
tax rate = 2 / 40 = 1 /20 = 0.05 *100 = 5%
Step-by-step explanation:
Belinay is making garlands of popcorn kernels and berries to feed the wildlife. The diagram shows the ratio of popcorn kernels to berries Belinay uses on the garlands.The table shows the numbers of kernels and berries on two of Belinay's garlands. Based on the ratio, complete the missing values in the table.
Answer:
20 kernels
21 Berries
Step-by-step explanation:
Belinay is making garlands of popcorn kernels and berries to feed the wildlife. The diagram shows the ratio of popcorn kernels to berries Belinay uses on the garlands
Kernels 4
Berries 3
Kernerls : Berries :: 4 : 3
in Garland A - Berries = 15
if berries = 3 then Kernel = 4
=> if berries = 1 then Kernel = 4/3
=> if berries = 15 then Kernel = 15 * 4/3 = 20
Kernels in Garland A = 20
in Garland B - Kernel = 28
if Kernel = 4 Then Berries = 3
=> if Kernel = 1 Then Berries = 3/4
=> if Kernel = 28 Then Berries = 18 * 3/4 = 21
Beriies in Garland B = 21
Garland Kernels Berries
A 20 15
B 28 21
Answer:
Garland Kernels Berries
A 20 15
B 28 21
Step-by-step explanation:
Solve for x
8 (V2 - x) = 11
Answer:
V^2 - 11/8
Step-by-step explanation:
8(V^2 - x) =11
V^2 = 11/ 8 + X
X= V^2 - 11/8
Answer:
x= - [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]
Step-by-step explanation:
Distribute the 8, which becomes.... 8[tex]\sqrt{2}[/tex] - 8x = 11
Move the numbers to one side.... -8x= 11-8[tex]\sqrt{2}[/tex]
Divide by -8.......- [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]
What statement accurately describes the scatter point?
A. There are three distinct clusters.
B. There are no outliers.
C. There is one outlier.
D. There are two outliers.
(7 points) Briefly explain what perfect multicollinearity is and how it relates to what is often called the "dummy variable trap". This is where if you have multiple binary regressors (variables that are either 0 or 1) to represent a series of groups, you have to leave the variable that represents one of the groups out of the regression.
Find the given attachments
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.Which equation represents x, the side length of the greater square?
Answer:
8 is the side length of the greater square. 100=x^2+(x-2)^2
Step-by-step explanation:
64+36=100
8 squared plus 6 squared equals 10 squared
8 is 2 more than 6
100=x^2 +y^2
x-y=2
100=x^2+(x-2)^2
he diameter of the circle is 18 m. Eugene incorrectly says that the circumference of the circle is about 113.04 m. What is the circumference of the circle? What mistake did Eugene make? Use 3.14 for pi.
Answer:
The circumference of the circle is [tex]C=56.55 \:m[/tex].
Eugene confused the radius with the diameter to find the circumference of the circle.
Step-by-step explanation:
The circumference of a circle is the distance around the outside of the circle.
The circumference of a circle is found using this formula:
[tex]\begin{matrix} C=\pi \cdot d\\or\\ \, C=2\pi \cdot r \end{matrix}[/tex]
From the information given the diameter of the circle is 18 m. Therefore, the circumference of the circle is
[tex]C=\pi \cdot d\\\\C=3.14 \cdot 18 \approx 56.55 \:m[/tex]
Eugene used the wrong formula to find the circumference of a circle.
[tex]C=2\cdot(3.14)\cdot 18=113.04 \:m[/tex]
He confused the radius with the diameter.
Answer:
Eugene used the wrong formula to find the circumference of a circle.
He confused the radius with the diameter.
Step-by-step explanation:
What’s the correct answer for this question?
Answer:
D
Step-by-step explanation:
Izan can use the slope formula to show that the slope of KL and MN are equal.
A child is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 33,500 feet and the child’s eyes are located 8,200 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the child’s line of sight to the plane?
Answer:
about 76.2°
Step-by-step explanation:
The geometry can be modeled by a right triangle with the given dimensions being the side opposite the angle (height = 33,500 ft) and the side adjacent to the angle (8,200 ft). The fact that you know these two sides suggests the inverse of the tangent function may be useful.
Tan = Opposite/Adjacent
tan(angle) = (33,500/8,200)
angle = arctan (335/82) ≈ 76.246°
The angle of elevation is about 76.2°.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
B
Step-by-step explanation:
Since the equation is all positive, the curve should concave towards the 4th quadrant.
estimate the limit of x-3/x^2-9
Answer:
b
Step-by-step explanation:
In the figure below, which term best describes point V?
Answer:
A
Step-by-step explanation:
The name of the point represented by V is an orthocenter. Option A
An orthocenter of a triangle.A triangle's point of concurrency is its orthocenter. It is the location where the triangle's three altitudes come together.
A line segment drawn perpendicular from a triangle's vertex to the other side or its extension represents the triangle's altitude.
Usually, the letter "H" is used to indicate the orthocenter. It is a crucial point in triangle geometry and has a variety of characteristics and connections to other triangle points like the circumcenter and centroid.
Learn more on orthocenter here: https://brainly.com/question/22440007
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Steven nas a deck OF 52 playing cards, as shown below. Determine the
theoretical probability of each event. Express each probability as a fraction
simplest form.
A. Randomly selecting a red card
B. Randomly selecting a 7, 8, 9, or 10
C. Randomly selecting the 6 of diamonds
D. Randomly selecting a card that is not a king
Step-by-step explanation:
a. Randomly selecting a red card =
[tex] \frac{1}{2 } [/tex]
have 26 card choices
B. Randomly selecting a 7, 8, 9, or 10 =
[tex] \frac{4 \times 4}{52} = \frac{16}{52} = \frac{4}{13} [/tex]
(have 4*4 card choice)
C. Randomly selecting the 6 of diamonds =
[tex] \frac{1}{52} [/tex]
(only 1 card choice)
D. Randomly selecting a card that is not a king
[tex]1 - \frac{4}{52} = \frac{48}{52} = \frac{12}{13} [/tex]
1 - all possibility that can select the king
Work out the size of x
Answer:13°
Step-by-step explanation:
a + b + x=180 sum of angles in a =180°
85° is alternate to a
Therefore a=85°
98° and b are supplementary angles
98+b=180
b=180-98
b=82°
Recall that
a + b + x=180
85+82+x=180
167 + x=180
Collect like terms
x=180-167
x=13°
The mean life of a tire is 30,000 km. The standard deviation is 2000 km. 95% of all tires will have a life between___ km and ___km.
Answer:Need more infromation
Answer:
Between 26,000 and 34,000 km.
Step-by-step explanation:
95% of a data set will be within 2 standard deviations of the mean.
Therefore, the range will be from "μ - 2σ" to "μ + 2σ".
3х + 8 = 15
2x — 8y = 10
Answer:
(x, y) = (5, 0)
Step-by-step explanation:
Maybe you're trying to solve the system ...
3x +8y = 152x -8y = 10It is convenient to add the two equations to eliminate the y-variable.
(3x +8y) +(2x -8y) = (15) +(10)
5x = 25 . . . . . . simplify
x = 5 . . . . . . . . divide by 5
Substituting into the first equation, we have ...
3(5) +8y = 15
8y = 0 . . . . . . . subtract 15
y = 0 . . . . . . . . divide by 8
The solution to the pair of equations we think you want to solve is ...
(x, y) = (5, 0)
What whole number when rounding to the nearest hundred is 700
Answer:
honestly quite a lot
Step-by-step explanation:
any number from 650-699, and also from 700-749
Answer:
range, 700-749
Step-by-step explanation:
Needing help can’t seem to find the answers? ♀️
Step-by-step explanation:
19. Kim's Path = √240² + 100²
= √57600 + 10000
= √67600
= 260 ft.
Answer:
17 question: we are going to use Pythagorean Theorem :
33^2 + 56^2 = x^2
1089+3165 = x^2
4225=x^2
x=-65
x=65
the answer is c)65
18 question i dont know :((
19 question : we are going to use same method as the first question : the answer is 260 ft
that's all that i can do for you
Step-by-step explanation:
hope this helps you :)
The central angle of a circle measures
97º and intercepts a minor arc. What is
the measure of its major arc?
Answer:
Step-by-step explanation:
