Answer:
The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
Step-by-step explanation:
Formulate the null and alternate hypothesis as
H0: u1= u2 against the claim Ha: u1≠ u2
The data given is
y`1=118, y`2=109 s21=102, s22=87
The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2
n1= n2= 64
And
Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2
Sp² = 63*102+6*87/64+64-2
Sp² = 94.5
Sp= 9.7211
Putting the values in the test statistic
t= 118-108/9.7211√1/64+1/64
t= 5.237
Now finding the value of t at ∝=0.01 for two tailed test
t( 126,0.005)= ±2.6154
At alpha= 0.01 the null hypothesis is rejected.
Now finding the value of t at ∝=0.05 for two tailed test
t( 126,0.025)= ±1.979
Even at alpha= 0.05 the null hypothesis is rejected.
Also at alpha= 0.05 the null hypothesis is rejected because the critical value is ±1.657
Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
Do you think this fish is a gram or kilogram ??
Can someone help me please?
Answer:
28pi, 10pi
Step-by-step explanation:
So, lets go over a few things.
What is circumference?
Circumference is the permiteter of a circle.
The formula for it is 2*r*pi.
Now, lets go over what radius and diamater is.
Diamater is the distance between the two opposite sides of the circle.
The radius is half of the diamater, and is the distance between one side of the circle and the middle.
Problem #1:
The distance from the middle to the side of the circle is 14.
This will be the radius, not the diamater.
Lets plug this into the formula:
2*14*pi
=
28*pi
=
28pi
This is your answer.
Problem #2
The distance from the two opposite sides of the circle is 10.
So the radius will be half of this, being 5.
Now lets plug this in:
2*5*pi
=
10*pi
=
10pi
This is your answer.
Hope this helps!
HELP ME PLEASEEEEEEEEEEEE
Answer:
The area is 112.
Step-by-step explanation:
14 x 16 = 224
224/2 = 112
If LK is a midsegment of hij, find x
Answer:
you forgot to post the pic
Step-by-step explanation:
5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
month of June.
Answer:
the answer to this question is $2,350
Step-by-step explanation:
june has 30 days so $75 × 30 + $100 = $2,350
50 points!!
Solve for x and y given the 2 triangles are SIMILAR
Answer:
x/3=4.5/1.5
1.5x=3*4.5
x=13.5/1.5
x=9
Step-by-step explanation:
For each of the following situations, identify the response variable and the populations to be compared, and give I, the ni, and N.
(a) A poultry farmer is interested in reducing the cholesterol level in his marketable eggs. He wants to compare two different cholesterol-lowering drugs added to the hen's standard diet as well as an all-vegetarian diet. He assigns 35 of his hens to each of the three treatments.
Response variable:
caloric intake
egg cholesterol level
diet cholesterol level
number of hens
number of marketable eggs laid
Populations: (Select all that apply.)
all eggs laid on a farm
hens on an all-vegetarian diet
all hens on a farm
hens on a standard diet and receiving one of two cholesterol-lowering drugs
eggs with different cholesterol levels
I =
n1 =
n2 =
n3 =
N =
(b) A researcher is interested in students' opinions regarding an additional annual fee to support non-income-producing varsity sports. Students were asked to rate their acceptance of this fee on a five-point scale. She received 93 responses, of which 32 were from students who attend varsity football or basketball games only, 18 were from students who also attend other varsity competitions, and 43 who did not attend any varsity games.
Response variable:
varsity sport played
number of students who attend varsity games
number of games attended
acceptance rating on a five-point scale
amount of annual fee paid
Populations: (Select all that apply.)
students who pay an annual fee
students who do not attend any varsity games
students who play sports
students who attend varsity football or basketball games
students who attend other varsity competitions
I =
n1 =
n2 =
n3 =
N =
(c) A professor wants to evaluate the effectiveness of his teaching assistants. In one class period, the 48 students were randomly divided into three equal-sized groups, and each group was taught power calculations from one of the assistants. At the beginning of the next class, each student took a quiz on power calculations, and these scores were compared.
Response variable:
course gradequiz score
rating of the professor on a five-point scale
rating of the assistant on a five-point scale
number of questions on the quiz
Populations: (Select all that apply.)
students in the three TA groups
students passing the course
all students at the school
the three teaching assistants
students who like their TA
I =
n1 =
n2 =
n3 =
N =
Answer:
Kindly check explanation
Step-by-step explanation:
POPULATION :
hens on an all-vegetarian diet
hens on a standard diet and receiving one of two cholesterol-lowering drugs
RESPONSE : cholesterol level
I = 3
n1 = 35
n2 = 35
n3 = 35
N = (35 + 35 + 35) = 105
2.)
RESPONSE :
Acceptance rating on a five-point scale
POPULATION :
Students who attend varsity football or basketball games
students who attend other varsity competitions
Student who do not attend any varsity games
I = 3
n1 = 32
n2 = 18
n3 = 43
N = (32 + 18 + 43) = 93
3.)
RESPONSE :
course gradequiz score
POPULATION :
Students in the three TA group
I = 3
Since, the samples were divided equally into 3, hence we have 48 / 3 16 per group
n1 = 16
n2 = 16
n3 = 16
N = 48
2 Find the area of the shape. Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal. units
Answer:
The problem is not provided so I cannot solve anything.
Step-by-step explanation:
give your answer as a mixed number
will someone show me how
to work out questions like this in the pictures step but step
Answer:
The value of given expression is 13 / 3
Step-by-step explanation:
Given expression in the form of improper fraction;
17/3 - [tex]1\frac{1}{3}[/tex]
Find;
The value of given expression
Computation:
⇒ 17/3 - [tex]1\frac{1}{3}[/tex]
Step 1 ;
Change mixed fraction into simple fraction
⇒ 17/3 - 4/3
Step 2 ;
By taking LCM of denominators;
⇒ [17 - 4] / 3
Step 3 ;
Subtract 17 from 3
⇒ [13] / 3
The value of given expression is 13 / 3
Toby collected data about the population of a town for five years. Toby's data was linear. Which table could be Toby's data?
the answer choices are A) A B) B C) C D) D
Answer:
ok, so the answer is table A
Step-by-step explanation:
USA PREP TESTTTTTT
good luck :)
i will give Brainiest if you are right
Answer:
b) [tex] 572.7 \: ft^3 [/tex]
Step-by-step explanation:
Volume of water needed to fill the fish tank
= 11.5* 8.3 * 6
[tex] = 572.7 \: ft^3 [/tex]
In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?
Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this question:
[tex]f(x) = x - 3, g(x) = x^2[/tex]
Composite function:
The composite function is:
[tex]f(g(x)) = f(x^2) = x^2 - 3[/tex]
At x = 1
[tex](f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2[/tex]
So
When x = 1, (f◦g)(x) is -2.
Can someone please help me? This is a geometry question.
Answer:
A is the answer think so is that helpful or helpless plz reply
PLEASE PLEASE PLEASE PLEASE HELP ME! Image below I Am Crying :((
Answer:
Its X-1
Step-by-step explanation:
Answer:
x= 5
Step-by-step explanation:
the | | around a number is called an absolute. It simply means that the number is always going to be positive. If you have |-4| it's the same as saying 4.
14x^2=8y^2-6xy where x>0 and y>0 find the ratio x:y
Answer:
4 : 7
Step-by-step explanation:
First, you can start by moving all the terms to one side:
14x^2 + 6xy - 8y^2 = 0
Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:
2(7x^2 + 3xy - 4y^2) = 0
In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:
2(7x^2 + 7xy - 4xy - 4y^2) = 0
Now, we can start to factor by grouping:
2( 7x[x + y] - 4y[x + y] ) = 0
And we can factor out [x + y]:
2(x + y)(7x - 4y) = 0
So, we can use the zero product property to get two equations:
x + y = 0
and
7x - 4y = 0
You get:
x = -y
and
7x = 4y
We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7
I need the answer pls, answer fast I am I s choool
Answer:
Hello! answer: D. 180
Step-by-step explanation:
What you do for these is find the surface area for each face separately then add them up so...
for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!
Answer:
180 in²
Step-by-step explanation:
To wrap the given box, we need to find the total surface area of the figure.
TSA of cuboid = 2 (lb + bh + hl)
= 2 { (6*8) + (8*3) + (3*6) }
= 2 ( 48 + 24 + 18 )
= 2 * 90
= 180 in²
What is the slope of the following equation?
y = 2x -3
Answer:
Step-by-step explanation:
2 is the slo[pe:)
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at math.
Calculate the slope of the lines using the rise/run formula.
Answer:
1. 3/4 2. -1/3
Step-by-step explanation:
#1:
Given rise/run, the rise is 3, and the run, is 4, so... 3/4
#2:
Given rise/run, the rise is 2, and the run is 6, so... you get 2/6 = 1/3. However, don't forget that the slope is negative, so it'll be -1/3.
Answer:
3. 3/4
4. -1/3
Step-by-step explanation:
Since the rise and run formula is slope = (y1-y2)/(x1-x2),
3. (2 - (-1) ) / (2- (-2) ) = 3/4
4. (-1- (-3) ) / (-2 - (-4) ) = -2/6 = -1/3
Jamal treated his family to a fancy brunch. Their brunch cost $250, and the local sales tax
was 4%. If Jamal left an 18% tip on the $250, how much in total did he pay?
Answer:
306.80
Step-by-step explanation:
250 + 4% = 260
260 + 18% = 306.80
Total amount paid by Jamal is $305
Step-by-step explanation:
Given that;
Cost of meal = $250
Local sale tax rate = 4%
Percentage of tip left by Jamal = 18%
Find:
Total amount paid by Jamal
Computation:
Total tax paid by Jamal = 250 × 4%
Total tax paid by Jamal = $10
Total amount of tip left by Jamal = 250 × 18%
Total amount of tip left by Jamal = $45
Total amount paid by Jamal = Cost of meal + Total tax paid by Jamal + Total amount of tip left by Jamal
Total amount paid by Jamal = 10 + 45 + 250
Total amount paid by Jamal = $305
Learn more:
https://brainly.com/question/2155156?referrer=searchResults
Which of the following are solutions to the equation below?
Check all that apply.
4x2 - 81 = 0
1 poin
5. A company that makes boxes finds that 60 out of 150 boxes are
damaged. *
What percent of boxes are damaged?
What is six times six
Answer:
36
Step-by-step explanation:
6+6+6+6+6+6=36
10xy(4xy^3-7xy+9y^2)
Answer:
[tex]40x^{2} y^{4} -70x^{2} y^{2} +90xy^{3}[/tex]
Step-by-step explanation:
[tex]10xy(4xy^{3} -7xy+9y^2)[/tex]
1. 10xy · 4xy^3 = [tex]40x^2y^4[/tex]
2. 10xy · -7xy = [tex]-70x^{2} y^{2}[/tex]
3. 10xy · 9y^2 = [tex]90xy^3[/tex]
Final step: add up all of those values together to make an equation!
Answer: [tex]40x^2y^4+[/tex] [tex]-70x^2y^2+[/tex] [tex]90xy^3[/tex]
Final Answer: [tex]40x^2y^4-70x^2y^2+90xy^3[/tex]
Help pls… 50points
Referring to the figure, find m∠1.
5. Answer:
Referring to the Fig. in Question #4, find m∠2.
6 Answer:
Referring to the Fig. in Question #4, find m∠3.
7 Answer:
Referring to the Fig. in Question #4, find m∠4.
8 Answer:
Referring to the Fig. in Question #4, find m∠5.
9 Answer:
Referring to the Fig. in Question #4, find m∠6.
10 Answer:
Referring to the Fig. in Question #4, find m∠7
Answer:
Step-by-step explanation:
The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.
The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°
Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.
∠4 is corresponding to 30° so ∠4 is 30°
∠5 is corresponding to ∠1 so ∠5 is 150°
∠6 is corresponding to ∠2 so ∠6 is 150°
∠7 is corresponding to ∠3 so ∠7 is 30°
Hope this helps :)
Answer:
The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.
The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°
Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.
∠4 is corresponding to 30° so ∠4 is 30°
∠5 is corresponding to ∠1 so ∠5 is 150°
∠6 is corresponding to ∠2 so ∠6 is 150°
∠7 is corresponding to ∠3 so ∠7 is 30°
Hope this helps :)
Step-by-step explanation:
Is 46 ounces greater than 2 pounds? Pls help
Answer:
yes
Step-by-step explanation:
yes because 46 ounces is equal to 2.9 pounds
Answer: Yes
Step-by-step explanation:
Im correct because, 1 pound equals 16 ounces. So to find how much 2 pounds is we just have to multiply 16 by 2. 16 times 2 equals 32 ounces and 46 ounces is more then 32 ounces, so it is greater.
Hope This Helps!
Tyler has 25 pieces of candy. Ethan takes 4/5 of Tyler’s candy. Steve says Ethan took almost all of Tyler’s candy. Is Steve correct?
Answer:
yes, steve is correct
Step-by-step explanation:
Answer:
yep, he's right. Ethan took 20 pieces of candy
Step-by-step explanation:
4/5 = 20/25
PLEASE HELP ME PLEASE what is the answer besides 3
Move each inequality to the table to match the appropriate situation describing x. HELPP FAST
Answer:
1. x < 10
2. x ≥ 10
3. x ≤ 10
4. x > 10
Step-by-step explanation:
1. Tiana read a book in less than 10 days.
Let
x = number of days Tiana read her book
x < 10
2. Charlie plans to run at least 10 miles this week
Let
x = number of miles Charlie plans to run
x ≥ 10
Jessica can spend at most 10 dollars on lunch
Let
x = amount of money Jessica can spend on lunch
x ≤ 10
Andre needs to buy more than 10 balloons for the party
Let
x = number of balloons Andre needs to buy
x > 10
The factors 11 and 12 are a factor pair of 137.
O A. True
B. False
Answer:
False
Step-by-step explanation:
[tex] \star \sf \: \frac{137}{11} = 12.4 \\\sf \star \: \frac{137}{12} = 12.4[/tex]
30 points!!
In the figure shown below, all the corners form right angles. What is the area of the figure?
Answer:
B
Step-by-step explanation: