The test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
When do we use one sample t-test?When we want to find out from the sample if the unknown population mean is different from some specific value, then we can use one sample t-test.
The test statistic is:
[tex]t = \dfrac{\overline{x} - \mu_0}{s/\sqrt{n}}[/tex]
where we have:
[tex]\overline{x}[/tex]= mean of the samples = sample standard deviation[tex]\mu_0[/tex] = the specific value we're comparing population mean with.n = sample sizedegree of freedom = n - 1For this case, we want to test the hypothesis that the average speed of cars is greater than the speed limit.
That means we want to know if
unknown population mean (the average speed of cars) > speed limit (45).
symbolically, we want to test if [tex]\mu > 45[/tex] (in miles per hour)
Thus, the test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
Learn more about one sample t-test here:
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Answer: Right-tailed test
Step-by-step explanation:
I just got it right on edu
Graph the line.
y = −4x + 2
Answer:
it rise over run so put 2y on graph count down 4 and move right 1
Step-by-step explanation:
Greg saves $15 every week. What expression would represent the amount of money in dollars Greg will save in W weeks?
Answer:
15W
Step-by-step explanation:
$15 is the amount he plans to save every week (constant), the W will represent the number of weeks
Answer:
15w
Step-by-step explanation:
w is the unknown amount and every week greg saves 15. So the equation would be 15w.
You can plug a number to check in for example 5. He would save $75.00 in 5 weeks.
(8x-14)° (5y+16)° (5x+34)° Write the equation to solve for x
Answer:
The equation to solve for x is 8x - 14 = 5x + 34
The value of x is 16
Step-by-step explanation:
Let us use the angles between the parallel lines to find x
∵ Lines l and m are parallel
∴ ∠(8x - 14)° and ∠(5x + 34)° are alternate exterior angles
∵ The alternate exterior angles are congruent
∴ ∠(8x - 14)° ≅ ∠(5x + 34)°
→ Equate them
∴ 8x - 14 = 5x + 34
∴ The equation to solve for x is 8x - 14 = 5x + 34
Let us solve it to find x
∵ 8x - 14 = 5x + 34
→ Subtract 5x from both sides
∵ 8x - 5x - 14 = 5x - 5x + 34
∴ 3x - 14 = 34
→ Add 14 to both sides
∴ 3x - 14 + 14 = 34 + 14
∴ 3x = 48
→ Divide both sides by 3 to find x
∴ [tex]\frac{3x}{3}=\frac{48}{3}[/tex]
∴ x = 16
∴ The value of x is 16
7/1 x 1/4=?
thanks for the help!!!
Answer:
1.75
Step-by-step explanation:
Answer:
7/4 or 1¾ or 1.75
Step-by-step explanation:
7/1 × 1/4
7 × 1 = 7
1 × 4 = 4
Pls, help me solve this. Show your work
Answer:
y = 2x + 1/3
Step-by-step explanation:
Since the line is parallel to y = 2x - 5, its slope is also 2x, as parallel lines have the same slope, leaving you with y = 2x.
Since it intercepts the y-axis at 1/3, and y = 2x intercepts the y-axis at 0, you will now need to add a 1/3 to the end of the equation for it to intersect the y-axis at the right place.
Therefore, the equation is: y = 2x + 1/3
Bruce, Cathy and Dilip paid $7, $10 and $8
respectively for a lotto ticket. The ticket won
a prize of $600. Calculate Bruce's share of
the winnings.
Hey there!
Add the total of Bruce, Cathy and Dilip
=> 7 + 10 + 15
=> 25
Then, Divide it by 600
=> 600 ÷ 25
=> 24
To find how much Bruce's share
we multiply 24 times the $10 he contributed
=> 24 × 10
=> 240
Therefore, Bruce's share would be $240
The radius is cm.
The circumference in terms of his vt cm
Using 3.14 for a, the approximate circumference of the
v cm.
circle is
d = 2 cm
Answer:
The radius is 1.75 cm, 1 3/4 cm, or 7/4 cm (all the same, just in different forms)
The circumference in terms of π is 7/2(π) cm, 3.5(π), or 3 1/2(π) cm (all the same, just in different forms)
The approximate circumference of the circle is 10.99 or 11 cm. (don't know if it's supposed to be rounded)
Step-by-step explanation:
Radius = 1/2 of the diameter, so 1/2 of 7/2 is 1.75, 1 3/4, or 7/4 cm.
Circumference in terms of pi means to not approximate pi. Circumference of circle is πd, so the exact circumference would be 7/2 pi cm, 3.5 pi cm, or 3 1/2 pi cm.
3.5 x 3.14 = 10.99. 10.99 cm ≈ 11 cm.
please help me find the median only
Answer:
12
Step-by-step explanation:
The median is the middle value of the entire set of data when the data is in order. No calculation is needed most of the time.
So here the middle value is 12.
Have a good day!
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
(-2, 10)
step-by-step explanation:
original vertex A: (4, -10)
If translated horizontally, there will be change in x axis
new coordinates: (4-6, -10) → ( -2 , -10)Then reflected over x axis, so use the formula: (x, y) → ( x, -y)
new coordinates: (-2, 10)The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8. There was a total of $640 in revenue from the sale of 100 total tickets. Graphically solve a system of equations in order to determine the number of student tickets sold, x, and the number of adult tickets sold, y.
Answer:
number of student tickets sold (x) = 40
number of adult tickets sold (y) = 60
Step-by-step explanation:
Let x = number of student tickets sold
Let y = number of adult tickets sold
Given:
total ticket sales = 100⇒ x + y = 100
Given:
student ticket = $4adult ticket = $8total ticket sales = $640⇒ 4x + 8y = 640
Rewrite x + y = 100 to make x the subject:
⇒ x = 100 - y
Substitute x = 100 - y into 4x + 8y = 640 and solve for y:
⇒ 4(100 - y) + 8y = 640
⇒ 400 - 4y + 8y = 640
⇒ 4y = 240
⇒ y = 60
Substitute found value for y into x = 100 - y and solve for x:
⇒ x = 100 - 60
⇒ x = 40
To solve graphically, rewrite both equations to make y the subject:
y = 100 - x
y = 80 - (1/2)x
Plot both lines.
The solution is the point of intersection (40, 60)
Gabriel must practice piano at least 15 hours a week. This week he has practiced 6 hours so far. Piano lessons are part of Gabriel’s practice time. His teacher gives 2-hour lessons. what inequality can be used to find x, the number of lessons Gabriel must attend this week?
Answer:
9
Step-by-step explanation:
Answer:
lessons he must complete: 15= 2x-6
Step-by-step explanation:
On the left side of the equation you have 15 hours which is what he must fulfill. X represents number of lessons he must complete. You convert the lessons to hours by multiplying by two because that is how long each lesson is. Im not sure if your teacher wants u to put 2x-6=15 or 2x= 11. Most likely the first answer
Can anyone HELP ME WITH THIS QUESTION ON VOLUME ILL GIVE BRANNIEST
The diameter of a cylinder is 1 yd. The height is 12 yd.
Find the volume of the cylinder.
Answer: V≈9.42 yd^3
the formula to use for a cylinder is V=πr^2h. The radius is 0.5 since the diameter is 1. The height is 12. Plug them in and you get that answer.
Hope it helps!
Write the following expressions as a single integer.
-7 + 21
Answer:
14
Step-by-step explanation:
-7 + 21
21 = Positive
-7 = Negative
Since, there are more positive than negative Thus, answer is positive
21 - 7 = 14
Hence, the answer is 14.
~`Lenvy`~
Claire is planning on becoming a member at the gym down the street from her house. They charge a $60 sign-up fee and an additional $8 per month. Write a linear equation y=mx+b to represent this situation, using x to respresent the number of months and y to represent the total cost of her membership.
Answer:
The linear equation is y = 8x + 60
Step-by-step explanation:
the slope-intercept form of the linear equation is
y = m x + b, where
m is the slope of the line (the rate)b is the y-intercept (the fixed amount)∵ Claire charge a $60 sign-up fee
→ This means it is a fixed amount for a sign-up
∴ b = 60
∵ There is an additional $8 per month
→ This means it is the rate
∴ m = 8
∵ y represents the total cost of her membership in x months
→ Represent this situation by the form of the linear equation above
∴ y = 8x + 60
∴ The linear equation is y = 8x + 60
Kenny pays $50.00 for a total of 12 books. If each book cost the same, how much was each book?
Answer:
x= 4 1/6
Step-by-step explanation:
1. Create equation
12x=50
2. Solve
12x/12=50/12
x=4 1/6
3. Check
12x4 1/6=50
12x50/12=50
50=50
Correct!
4. Answer
x= 4 1/6
There are 16 boys in an English class of 28 students. The ratio of boys to the total number of students in this class is typical of the whole school. There are 476 students in the school. About how many are boys?
Proportions In Word Problems
—In the picture, when I wrote at the top: “B” is for the boys in the equation and the “S” is for the students in the English class, if anyone was wondering what that meant—
If 3 superscript 2 x 1 baseline = 3 superscript x 5, what is the value of x?
The value of x for the considered algebraic equation is 4.
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation (the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^c \implies b = c \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
For this case, we have got the equation as:
[tex]3^{2x+1} = 3^{x+5}[/tex]
Using the property that: [tex]a^b = a^c \implies b = c \: \:(if \: a \neq 1 \: and \: a \neq -1)[/tex], we get:
[tex]2x + 1 = x + 5\\[/tex]
Solving it further:
[tex]2x + 1 = x + 5\\\\\text{Subtracting 1+x from both the sides}\\\\2x + 1 - (1+x) = x+5 - (1+x)\\x = 4[/tex]
Thus, the value of x for the considered algebraic equation is 4.
Learn more about exponentiation here:
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If one angle of a parallelogram measures 80° what are the measures of the other three angles in a parallelogram
In a parallelogram the 4 angles need to sum to 360 degrees. There are two sets of identical angles, so one of the other angles would also be 80 degrees.
Now find the other two angles:
360 - 80 - 80 = 200 degrees
200 degrees / 21 = 100 degrees each.
The other 3 angles are: 80, 100 and 100
James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have?
Answer:
Step-by-step explanation:
Let the number of 5-cent coins he has be x and the number of 10-cent coins he has be y
x coins + y coins = 157 coins
(x × 5)cents + (y × 10)cents = $10
These two equations are true about the money he has, i.e
x + y = 157
5x + 10y = 1000
(We made the $10 into 1000 cents because the coins are in cents)
We can solve the above equations either simultaneously or through substituting.
Simultaneously:
(x + y = 157) × 5
5x + 10y = 1000
5x + 5y = 785
5x + 10y = 1000
Subtract the co-efficients in the equations
0x + -5y = -215
-5y = -215
y = 43
This means he has 43 10-cent coins.
PS: We get the number of 5-cent coins by subtracting 43 from 157, the total number of coins he has.
Substituting:
x + y = 157
5x + 10y = 1000
y = 157 - x
5x + 10(157 - x) = 1000
5x + 1570 - 10x = 1000
-5x = -570
x = 114 coins
157 - 114 = 43 coins
Thus there are 43 10-cent coins.
Answer:
46
Step-by-step explanation:
You would have 46 10-cent coins. First split it up into dollars, there are $10 and 10 dimes in each dollar. So if James has 157 coins you would need to first see how many coins he has in total. In total there are 100 dimes. We need to get to 157 coins so we'll need to break up some of the coins. So we keep turning the dimes into nickels until we get the number 157 for all the coins in total. So James has 46 10-cent coins.
Please answer well, not just for points. Thank you!
Teddy is preparing to sell some wooden blocks at a garage sale. Before pricing individual bags of blocks, he decides to determine the approximate number of blocks per pound by researching the weights of different sets of blocks. The graph shows his data. A graph shows weight of set (pounds) labeled 0. 5 to 5 on the horizontal axis and number of blocks on the vertical axis. A line increases from 0 to 5. 5. About how many blocks are there per pound? Round to the nearest block. 10 20 30 40.
Slope is also known as the gradient of a line. The number of blocks that Teddy is weighing is 20 blocks per pound.
What is the Slope of a line?
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line. It also tells us the rate between the two given quantities.
As the graph is given to us and we need to find the number of blocks teddy is putting per pound, therefore, we need to calculate the rate of the graph also known as the slope of the graph, therefore, using any of the two points to calculate the slope of the graph,
[tex]{\rm Point1} : (x_1, y_1) = (0, 0)\\\\{\rm Point2} : (x_2, y_2) = (5, 100)[/tex]
We know that the slope of the line is given as,
[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values,
[tex]\text{Slope of the line} = \dfrac{100-0}{5-0} = \dfrac{100}{5}=20[/tex]
Hence, the number of blocks that Teddy is weighing is 20 blocks per pound.
Learn more about Slope:
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URGENT!!! I ONLY HAVE A SPECIFIC AMOUNT OF TIME! PLEASE DON'T SKIP!!!
BRAINLIEST + EXTRA POINTS!!
Answer:
x=5
Step-by-step explanation:
25x+30+5x=180 <----- do this (dont feel like showing my work)
USE SYMBOLAB I LITERALLY USE IT ALL THE TIME!!
Rewrite the fractions using the least common denominator.
5/8 and 11/12
a. 15/24 and 22/24
b. 2/4 and 3/4
c. 60/96 and 55/96
d. 12/20 and 19/20
Answer:
its A
Step-by-step explanation:
Wien Remainders
There are 76 ounces of fluid in container A. This is about 8 times the amount of fluid in container B.
About how many ounces of fluid are there in container B?
(SHow ur work if u dont I will report :) Find the quotient: 49.6 ÷ 6.2
Answer:
Answer:
answer is 8 explained in picture
[tex][Hello,BrainlyUser][/tex]
Answer:
8
Step-by-step explanation:
Knowing that;
Quotient ⇒ Divide
[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:10[/tex]
[tex]\frac{496}{62}[/tex]
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]\begin{matrix}62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]Divide\;496\;by\;62\;to\;get\;8[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace8\:\:\:\:\:\:\:\:\:\:\:\:\\ 62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace4\emptyspace9\emptyspace6}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{49.6}{6.2}\:\mathrm{is}\:8[/tex]
[CloudBreeze]
Hank has picked 1.3 pounds of berries and picks about 75 pounds per minute. Tom has picked
2.5 pounds of berries and picks about 5 pounds per minute. In how many minutes will Hank have
picked at least as many pounds of berries as Tom?
Answer:
x=4.6
Step-by-step explanation:
take the numbers and add them all together then divide them by 3
A football is punted from a height of 3. 5 feet about the ground with an initial velocity of 45 feet per second. This situation can be represented by the function −16t2 + 45t + 3. 5 , where t is the number of seconds elapsed since the football was kicked. If the football is caught at a height of 5. 5ft on the ball’s descent, when was the football in the air at that height?
Answer:
h= -5.6444444444 ft
Step-by-step explanation:
h= 5.5
5.5= -16^2 + 45 t +3.5
5.5 = 256 +45t +3.5
2= 256+45t
-254= 45t
t=- 5.6444444444
I hope that's right formula for you. Thanks.
Nicole ordered a volleyball for $9.75, a net for $29.99, and knee pads for $15.00. Nicoles mother said that she would pay for the order on her credit card if Nicole gave her the money. Nicole gave her mother $40.00. Her mother also applied the money that she owed Nicole for babysitting. Nicoles mother then gave her back $5.26. How much did Nicoles mother owe Her for babysitting?
Answer:
$9.48Step-by-step explanation:
The total amount for the order is
$9.75+$29.99+ $15.00=$54.74
let the money her mother owes her be x
so summing all the amount plus the balance given to her must equal $54.74
so x+40+5.26=54.74
solving fo x we have
x+45.26=54.74
make x subject of formula we habe
x=54.74-45.26
x=9.48
Nicoles mother owe Her $9.48for babysitting
god bless u Step-by-step explanation:
Find the slope of the line that passes through the points (2,-10) and (-4,2).
Answer:
-0.5
Step-by-step explanation:
Answer:
m = -2
Step-by-step explanation:
Plug the two points in slope formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\\\\frac{2-(-10)}{-4-2} \\\frac{12}{-6} \\\\m= -2[/tex]
Find the slope and the y intercept for the equation below 2x+y=7
Answer:
the slope is 2
y- intercept is 7
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) Isolate y:
y=-2x+7
2) Identify the slope (it is the coefficient of x after isolating y):
slope=-2
3) Replace x=0 to find the y intercept:
y=-2(0)+7=7.