Answer:
The value of the test statistic is -0.97
Step-by-step explanation:
This test is two tailed test.
Null and Alternative hypothesis is as follow
Null Hypothesis is used when it is assumed that there is no significant difference between the values.
Null Hypothesis = [tex]H_{0}[/tex] = [tex]\mu =[/tex] 59.8
The Alternative hypothesis is the alternative of the Null Hypothesis. It is an experimental technique that is used when it is assumed that there is some difference
Alternative Hypothesis = [tex]H_{a}[/tex] = [tex]\mu \neq[/tex] 59.8
Test statistcs is z
The value of test statistics can be calculated using the following formula
Test Statistics [tex]= (\bar x - \mu ) / \sigma / \sqrt n[/tex]
Test Statistics [tex]= (59.7-59.8) / 1.3 / \sqrt 160[/tex]
Test Statistics = -0.97
A frame around a family portrait has a perimeter of 94 inches. The length of the frame is 7 inches less than twice the width. Find the length and width of the frame.
Step-by-step explanation:
Let l be the length and w be the width of the frame.
We have 2(l + w) = 94 and l = 2w - 7.
Therefore 2[(2w - 7) + w] = 94.
=> 3w - 7 = 47
=> 3w = 54
=> w = 18
l = 2(18) - 7 = 36 - 7 = 29
Hence the length of the frame is 29in and the width of the frame is 18in.
The price of a computer is reduced by 17.5%. The reduced price is £264 by how much is the price reduced
Answer:
Step-by-step explanation:
100%-17.5%= 82.5%
82.5% (divide) 82.5%= 1%
so (1% of the orginal price)=
£264 (divide) 82.5%= £320= original price
The price of the computer is reduced by £56 which is 17.5% of £320.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The price of a computer is reduced by 17.5% and the reduced price is £264.
Let the original price be '£x'.
So, (100 - 17.5)% = 82.5% of '£x' is £264.
∴ (82.5/100)×x = 264.
0.825x = 264.
x = 264/0.825.
x = £320.
So, The price reduced is (320 - 264) = £56.
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The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $460 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the cruise, then each fare is reduced by $7 per day for each additional passenger. Assume at least 20 people sign up for the cruise, and let x denote the number of passengers above 20. (a) Find a function R giving the revenue per day realized from the charter. R(x)
Answer:
R(x) = (460 * 7x)*(20+ x)
Step-by-step explanation:
If exactly 20 people sign up :
Charge per person = $460
For passengers after 20:
At number of passengers = 20 ;
Cost = (fee * discount * number of additional passesengers) * (20 + Number of additional passengers
Let number of additional passengers after 20 = x
R(x) = ($460 * $7x) * (20 + x)
Hence,
R(x) = (460 * 7x)*(20+ x)
A quadratic function is described by the equation f(x) = (x - 3) ^ 2 Which statement about the graph of the function is true?
A The only zero of the function is 3 which is where the graph of the function intersects the x-axis
В. The only zero of the function is 3 which is where the graph of the function intersects the y-axis.
C.The only zero of the function is , which is where the graph of the function intersects the x-axis.
D.The only zero of the function is is where the graph of the function intersects the y-axis .
Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Step-by-step explanation:
Remember, a quadratic function which has roots x = a, and x = b, can be written as:
p(x) = A*(x - a)*(x - b)
Where A is the leading coefficient. This is the factorized form of a quadratic.
We have the function:
f(x) = (x - 3)^2
Now, we could rewrite this as:
f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)
Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)
Then the only root of f(x) is x = 3.
Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:
A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
What is the perimeter of this shape
9514 1404 393
Answer:
72.6 cm
Step-by-step explanation:
It is the perimeter of the overall rectangle plus twice the depth of the notch.*
P = 2(L+W) +2d
P = 2(16 cm + 13 cm + 7.3 cm) = 2(36.3 cm)
P = 72.6 cm
The perimeter of the shape is 72.6 cm.
_____
* You may be able to visualize this if you imagine the bottom (top) of the notch translated out (down) to the edge of the rectangle. That translation does not affect the length of the line segment, but helps convince you that only the two legs of the notch are added to the perimeter of the rectangle.
t-shirts for $2 and shorts for $4. the total sales were $600. they sold four times more tshirts than shorts how many tshirts and shorts did they sell?
Answer:
T-shirts: 200
Shorts: 50
Step-by-step explanation:
To solve, set up an equation using two variables to represent the number of t-shirts and shorts sold. Let x = t-shirts sold. Let y = shorts sold. 2x + 4y = 600. We know that x will be 4 times greater than y, so we can plug in some guesses that seem reasonable and use the equation to test our theories. My first guess was 50 shorts, which by luck was the correct answer. These problems can be tricky, but setting up an equation can prove to be a great help.
la tercera parte de la suma entre un numero y 5 es 4
Me ayudan?
Respuesta:
si lo que estás buscando es "el número", la respuesta es es "7"
Explicación paso a paso:
si nos dice que la tercera parte de una cifra es "4" debemos hacer lo siguiente:
4*3=12 (para sacar el resultado de la suma)
verificamos diviendo 12 entre su tercera parte: 12 entre 3=4
a 12 le restamos 5 para sacar el número que necesita la suma 12-5=7
entonces la tercera parte de la suma entre 7+5 ó bien 12, es 4
7+5=12 12 entre 3=4
Write the equation of the line in slope-intercept form that has a slope of -5/2 and passes through the point (14,-39)
Answer:
Step-by-step explanation:
The equation of the line in point-slope form;
y+39 = (-5/2)(x-14)
Rearrange to solve for y:
y+39 = (-5/2)x + 35
y = (-5/2)x + 4
Ivan is making brownies from a boxed mix. He wants to combine 2 boxes. 1 box calls for ½ of a cup of water. The other calls for ⅓ of a cup of water. How much water will Ivan need to make brownies from both boxes?
Answer:1/56
Step-by-step explanation:
anyone know this ......
Answer:
4/1
or its 1/4
Step-by-step explanation:
For t=2, 13t-2t is equal to 22 and 2t - 13t is equal to ??
Answer:
[tex]2(2) - 13(2) \\ 4 - 26 \\ = - 22[/tex]
Determine the domain of the following graph:
The local appliance store is advertising a 17% off sale on a new flat-scree TV. If the sale price is $664, what was the original price of the flat-screen TV?
Answer:
the original price = $800
Step-by-step explanation:
To find the fraction of the original price, subtract 0.17 from 1.00, obtaining 0.83. Then 0.83n = $664 yields n = the original price = $800
There is an unknown number of people at the beginning of lunch. Then...
Each student had 3 friends come sit with them, tripling the amount.
Then the entire group divided into 4 groups, and all but one group left and went outside, so only 1 fourthof the total students were left in the lunchroom
7 more people came into the lunchroom
The total number of people in the lunchroom at the end of lunch was 16
Answer:
5.25
Step-by-step explanation:
find the area of a triangle with a base and height of 1/3 and 1/4
Answer: 1/12
Step-by-step explanation:
Multiply 1/3 by 1/4. Or just multiply 3 by 4.
3 x 4 = 12
Therefore, the answer is 1/12.
2x−y=5 If x=4, then y=
Answer:
Y = 3
Step-by-step explanation:
2(4) = 8
Subtract 8 on both sides
-y = -3
Y=3
2. Select all of the numbers that Courtney could multiply by 72,033 to get a product LESS than 72,033 (2 Points)
A. 1 and 3/4
B.718
C.2
D. 1/6
E. 12/8
Answer:
Step-by-step explanation:
It's not A since that means 1 3/4 or 7/4. That isn't a possible answer since 7/4 is greater than 1.
B: not the answer. You'll make 72000 almost 1000 times bigger if you use B.
C: same reason as B. Anything over 1 will make 72033 larger, not smaller
E: 12/8 > 1. It can't work.
The answer is d . Try it on your calculator. Anything between 0 and 1 make make any number smaller. (include zero, don't include 1).
Explain your answer !!
Have a great day
Will give brainlst
the bases of a trapezoid are 8 and 6 inches it's height is 5 inches what is the area of the trapezoid?
Answer:
35 in^2
Step-by-step explanation:
The area of a trapezoid is the average of the bases times the height.
Base 1: 8, Base 2: 6, Height: 5
(8 + 6)/2 = 7
7 * 5 = 35 in^2
PLS HELP!! FIND X AND Y
Answer:
x=110
y=70
Step-by-step explanation:
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What are your plans for the future?Which profession would you like to pursue and why?
Answer:
I plan to finish my degree first and pursue my dreams of becoming a pilot, because that thing will help me and my family aside from that it's like I'm free to do whatever I want.
Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%
Answer:
5.5%
Step-by-step explanation:
the pizza is free 5.5 so he need to deliver the pizza on time
Ally picked 25 roses. She gave away 10 roses. What percent of the roses does Ally still have?
Answer:
25%
Step-by-step explanation:
A system of linear equations is graphed below
Which coordinate point represents the solution?
A : (2, 2)
B : (0 , 40)
C : (40 , 0)
D : (20 , 20)
Answer: D
Step-by-step explanation: 20,20
A bakery sold a total of 120 cupcakes in a day, and 45% of them were chocolate flavored. How many of the cupcakes sold that day were chocolate flavored?
Answer:
66 are chocolate. 120x1.45 66
The number of cupcakes sold that day was chocolate flavored will be 54.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
A bakery sold a total of 120 cupcakes in a day, and 45% of them were chocolate flavored.
Then the number of cupcakes sold that day were chocolate flavored will be
Let x be the number of the cupcakes sold that day that was chocolate flavored.
x = 45% of 120
x = 0.45 × 120
x = 54
Thus, the number of cupcakes sold that day was chocolate flavored will be 54.
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CAn you help witht this fast!
Answer: 150% sugar
Step-by-step explanation: Make a proportion.
(3x^2-8+3X)-(10+2x^2-2X)
Answer: x^2+5x-18
Step-by-step explanation:
Solve the equation
t−3.7=1.2
Answer:
t=4.9
Step-by-step explanation:
Answer:
t=4.9
Step-by-step explanation:
t-3.7=1.2
t-3.7+3.7=1.2+3.7
t=4.9
if 8 equals 40 grams how much is 64 grams
Answer:
320 grams
Step-by-step explanation:
First you find out how much 1 bat ate
40 divided by 8 = 5
So each bat ate 5 insects
Multiply 5 by the 64 bats
64 * 5 = 320
Which of the following points below represents (- 2, - (5pi)/4) the polar grid?
Answer:
Well, when we have a point in rectangular coordinates (x, y) and we want to write it in polar coordinates (r, θ) the rule we use is:
r = √(x^2 + y^2)
θ = Atg(Iy/xI) + 90°*(n - 1)
where n is number of the quadrant where our point is.
For example, if we are on the second quadrant, we use n = 2.
Now, if instead, we have the point (r, θ) and we want to rewrite it in rectangular coordinates, then the transformation is:
x = r*cos(θ)
y = r*sin(θ)
Now we have the point (- 2, -(5pi)/4) because the first part is negative, this number can not be in polar coordinates (r can not be negative) then we have:
x = -2
y = -(5*pi)/4
Using the first relation, we can find that:
r = √( (-2)^2 + (-5*3.14/4)^2) = 4.4
(rememer that the point (- 2, -(5pi)/4) is on the third quadrant, then we will use n = 3.)
θ = Atg(-(5*pi)/4/-2) + 90°*(3 - 1)= Atg((5*pi)/2) + 180° = 82.7° + 180° = 262.7°
Then the point that represents (- 2, - (5pi)/4) in polar coordinates is the point:
(4.4, 262.7°)
If instead of degrees, the angle part is written in radians, we have:
180° = 3.14 radians.
262.7° = x radians.
then:
x/3.14 = (262.7)/180
x = 3.14*(262.7)/180 = 4.58 radians.
then the point will be:
(4.4, 4.58 radians)
