Answer:
31.42
Step-by-step explanation:
circumference of a circle= 2* [tex]\pi[/tex]* r
2* 22/7 * 5 = 31.42 (2 dp)
At a recent meeting, the manager of a national call center for a major Internet bank made the statement that the average past-due amount for customers who have been called previously about their bills is now no larger than $20. Other bank managers at the meeting suggested that this statement may be in error and it needs to be tested. The file called Bank Call Center attached below, contains data for a random sample of 67 customers from the call center population. What should be conducted based on the sample data? Test using α = 0.10
Answer:
As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
Step-by-step explanation:
As the standard deviation for the past due amounts is 63
The sample size n= 67
1) Formulate the null and alternate hypothesis
H0: u ≤ 23 against the claim Ha: u > 23
2) The test statistics is
Z= x- u / σ/ √n
z= 20- 23/ 63/ √67
z= 0.00581
z= 0.006
3) The significance level ∝= 0.1
4) The critical value for ∝= 0.1 is Z > ±2.33
5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
1. A square pizza box has an area of 155 cm^2. Which is the best estimate of the side length of the pizza box?
A 12 B. 129 C. 124 D. 121
Answer:
C.) 12.4
Step-by-step explanation:
The square root of 155 needs to be found.
It's about 12.4498996.
Thinking that your options are supposed to be decimals, the closest rounded answer would be C.
Tammys fish tank 18 liters of water in it. She plans to add 5 liters per minute until the tank has at least 63 liters. What are the possible numbers of minutes Tammy could add water?
Step-by-step explanation:
Hi,
63 = 5x + 18 represents this situation.
63 = 5x + 18
45 = 5x
9 = x
So, the possible number of mins are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
You can also write this as x ≤ 9
I hope this helps :)
Kyle ordered 7 large pepperoni pizzas from Wild Bill's Pizza, and he used the coupon shown above. If the total bill, after kyle used the coupon, was $82.50, what was the regular price of 1 pizza?
Answer:
Regular price of 1 pizza = $15 {Assuming discount coupon = $22.5}
Step-by-step explanation:
Let regular non discounted price of 7 pizzas be x
x - 22.5 = 82.5
x = 82.5 + 22.5
x = 105 (Regular Non discounted price of 7 pizzas)
Regular Price of 7 pizzas = 105
Regular price of 1 pizza = 105 / 7 = 15
The function f is defined by f(x) = x^2-2x-24
if f (x + 3) = x^2+kx-21, what is the value of k?
Step-by-step explanation:
my guess it's 4
(x+7) (x-3)
The value of k for which f(x + 3) = x^2+kx-21 for the considered function f(x) is found to be k = 4
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
It is given that:
[tex]f(x) = x^2 -2x - 24[/tex]
and [tex]f(x+3) = x^2 + kx - 21[/tex]
Putting x = x+3 in the definition of f(x), we get:
[tex]f(x+3) = (x+3)^2 -2(x+3) -24\\\\f(x+3) = x^2 + 6x + 9 -2x -6 - 24\\\\f(x+3) = x^2 + 4x -21[/tex]
Comparing it with [tex]f(x+3) = x^2 + kx - 21[/tex], we see that k is having value as 4 for the considered function.
Thus, the value of k for which f(x + 3) = x^2+kx-21 for the considered function f(x) is found to be k = 4
Learn more about evaluating a function at a value here:
https://brainly.com/question/2753269
Find the tangents of the acute angles in the right triangle
angle E to F=7
D to F 25
D toE=24
write as a fraction
f=50
d=40
Hope this helps
Seth wants to buy a helmet as well. A new helmet costs
$46.50. Seth thinks he can work 6 hours on Saturday to
earn enough money to buy the helmet. Is he correct?
Find the sum of the first 59 terms of the arithmetic sequence.
49, 56, 63, 70, ...
What is the sum of the first 59 terms?
Answer:
its 56
Step-by-step explanation:
11. The rates for the following math tutoring services are listed below.
Tutoring Service Cost
Time
А
$50
45 minutes
B
$65
1 hour
C
$99
90 minutes
D
$90
2 hours
Which Tutoring Service charges the most per hour?
Answer: A
Step-by-step explanation:
A) 50/ 45 = 1.111....
B) 65/60 = 1.08333...
C) 99/90 = 1.1
D) 90/120 = .75
Answer:
A
Step-by-step explanation:
Divide each amount by the number of minutes to find the rate per minute. Then multiply by 60 to find the hourly rate. Then compare the hourly rates.
A
$50 / 45 min * 60 = $66.66/hour
B
$65 / 1 hour = $65/hour
C
$99 / 90 min * 60 = $66/hour
D
$90 / 2 hours = $45/hour
Answer: A
compare these integers
-10_____ 1
A.<
B.=
C.>
Answer:
-10<1
which means that -10 is less than 1
Answer:
A
Step-by-step explanation:
-10 is smaller than 1 because all the negative numbers are less than 0 and all other positive numbers
please help with question 2
Answer:
K=3
Step-by-step explanation:
Substitute the X with 7.
-6x7+18=k(7-15)
Distribute and combine
-42+18= = -8k
Combine like terms
-8k= -24
K= 3
Answer:
The answer is k=3
Is 1,4,9,16 an arthmetic sequence
Answer: No
Step-by-step explanation:
The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term
Which set of side lengths create a right triangle ?
A(10,28,and 29)
B(6, 8,and 13)
C(7, 12 and 14)
D( 8 , 15 and 17)
Answer:
(8, 15 and 17)
Step-by-step explanation:
[tex]\sqrt{10^{2} +28^{2} } \neq 29[/tex]
[tex]\sqrt{6^{2} +8^{2} } \neq 13[/tex]
[tex]\sqrt{7^{2} +12^{2} } \neq 14[/tex]
[tex]\sqrt{8^{2} +15^{2} } =17[/tex]
20 apples cost R12.What will 16 of the apples cost?
Answer:
192
Step-by-step explanation:
you take 12 and multiple it by 16:
R12×16=R192
Plz help me I’m confused
Answer:
-10 minor -7 minor -1 minor +3
Step-by-step explanation:
first one: (14+6)/(-4+2)= -10
second one: (8+4)/(-9-3)=-1
third one: (3+4)/(3-4)= -7
last one: =+3
Work out m and c for the line:y=3x-2
The subtotal of Noah's meal was $13.77. he also has to pay a 7% tax. How much will he for his meal? ( Round to the nearest cent) *
Answer:
14.37 is your answer for his meal, hope this helped. <3
Step-by-step explanation:
You have 13.77 then you add 7% then round it up.
Sarah and Mike have 59 ounces of almonds. They want to share these almonds equally with each other and 6 more friends. The number of ounces of almonds each person will get is between which two whole numbers?
3 and 4
6 and 7
7 and 8
8 and 9
please show work
the answer is between 7 and 8
Is a circle a function?
Step-by-step explanation:
a function that describes a set of points in Cartesian space by mapping each x-coordinate to a y-coordinate, then a circle cannot be described by a function because it fails what is known in High School as the vertical line test. A function, by definition, has a unique output for every input.
In the figure, the measure of angle 6 6 is 141° 141 ° . What is the measure of angle 5 5 ?
Answer:
131° 131°=5 5 is the measure for 5 5
Answer: 181
Step-by-step explanation: i got it right on imagine math and the person above me is correct
ur pretty and perfect! Have a great day!
Given the median QR and trapezoid MOPN, what is the value of x?
5x - 7
P
27
Q
R
6x + 6
N
O A. 6
O B. 18
O C. 2
O D. 5
O E. 7
o
F. Cannot be determined
Answer:
D. 5
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
QR = ½(OP + MN)
Substitute
27 = ½((5x - 7) + (6x + 6))
27 = ½(5x - 7 + 6x + 6)
Add like terms
27 = ½(11x - 1)
Multiply both sides by 2
2*27 = 11x - 1
54 = 11x - 1
54 + 1 = 11x
55 = 11x
55/11 = x
5 = x
x = 5
The figure below consists of a square and a right triangle. Find the missing length x.
Answer:
15 cm
Step-by-step explanation:
Since the square's side length is 8 cm, and one of its sides is the short leg of the triangle, the short leg of the triangle is 8 cm
Using the pythagorean theorem, solve for b (the missing side length x)
a² + b² = c²
8² + b² = 17²
64 + b² = 289
b² = 225
b = 15
So, the missing side length is 15 cm
Which value for x makes this sentence true? ( 8th Grade math )
Answer:
C. x = 5
Step-by-step explanation:
[tex]2x - 1 = 9[/tex]
[tex]2x = 9 + 1[/tex]
[tex]2x = 10[/tex]
[tex]x = 5[/tex]
You are scuba diving at -8 feet. You dive 5 feet deeper. What is your position in the water?
Answer:
-13 feet
Step-by-step explanation:
Answer:
-13 feet
Step-by-step explanation:
We Start With -8 and we go 5 feet deeper so -8-5 is -13
what is the greatest common factor (GCF) of 88 and 132?
Hi, please help and explain, is it c?
Answer:
It's option A
change the answer
Answer:
its a so yeah
I AM SORRY BUT HELP ME!!!!
Bill has 5 liters of water to pass out to his teammates at the basketball game. If one player drinks 1000 milliliters, two players drink 500 milliliters, and another player drinks 2000 milliliters, how much water does Bill have left at the end of the game?
A. 1,000 liters
B. 2 liters
C. 10,000 liters
D. 1 liter
Answer:
D. 1 liter
Step-by-step explanation:
1000 milliliters = 1 liter
Player 1: 1000 ml or 1 liter
Player 2: 500 ml or .5 liter
Player 3: 500 ml or .5 liter
Player 4: 2000 ml or 2 liter
Add: 1 + .5 +.5 +2 = 4
Subtract: 5 - 4 = 1
Answer: You have 1 liter left
Pretzels are given away for free at a local store. The tray is constantly replenished as people take the pretzels.The number of pretzels in the tray is given by the function P(t) = 20 + t^2 − 8cosπt , where t is measured in minutes. When t = 1 minute, find the average rate of change of pretzels in the tray over the next 30 seconds.
Answer:
The answer is "[tex]-13.5 \ / minute \\\\[/tex]"
Step-by-step explanation:
The average rate to the changes of pretzels form [tex]t= 1 \ minutes[/tex] to [tex]t=1.5 \ minutes[/tex] will be:
[tex]=\frac{P(1.5)-p(1)}{1.5-1}\\\\=\frac{(20+(1.5)^2- 8 \cos \pi (1.5))-(20+1^2 -8 \cos \pi)}{0.5}\\\\=\frac{22.25-29}{0.5}\\\\=\frac{-675}{50}\\\\=-13.5 \ / minute \\\\[/tex]
x² + x = 12
show the steps please
Answer:
x1 = -4
x2 = 3
Step-by-step explanation:
[tex]x^{2} + x = 12\\x^{2} +x-12=0\\x^{2} +4x-3x-12=0\\x*(x+4)-3(x+4)=0\\(x+4)*(x-3)=0\\x+4= 0 \\x-3=0\\x=-4 \\x=3\\x1=-4 \\x2=3[/tex]
Step-by-step explanation:
=> x² + x = 12
=> x² + x -12 = 0
=> x² + 4x - 3x -12 = 0
=> x ( x + 4)-3(x + 4) = 0
=> ( x + 4)(x-3)=0
=> x = 3 , -4
A USA Today poll asked a random sample of
1012 U.S. adults what they do with the milk
in the bowl after they have eaten the cereal
Let be the proportion of people in the
sample who drink the cereal milk A
spokesman for the dairy industry claims that
70% of all US adults drink the cereal milk
Suppose this claim is true.
Find the standard deviation of the sampling
distribution of p
Answer: 0.0188
Step-by-step explanation:
Using the Central Limit Theorem, it is found that the standard deviation of the sampling distribution of p is 0.0144.
Central Limit TheoremBy the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].In this problem:
Suppose that 70% of all US adults drink the cereal milk, hence [tex]p = 0.7[/tex].A sample of 1012 adults is taken, hence [tex]n = 1012[/tex].Then, the standard deviation is:
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{1012}} = 0.0144[/tex]
The standard deviation of the sampling distribution of p is 0.0144.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/16695444