Answer:
x = 2 or -3
Step-by-step explanation:
The product will be zero when one of the factors is zero.
First factor:
x - 2 = 0
x = 2 . . . . . add 2 to both sides of the equation
Second factor:
x + 3 = 0
x = -3 . . . . .subtract 3 from both sides of the equation
The values of x that solve this equation are x = 2 and x = -3.
Refer to example 4. Predict how many out of 1,370 students have a television in their bedroom. (Glenco p. 795)
Answer:
990
Step-by-step explanation:
Out of 1,370 students, 990 are predicted to have a television in their bedroom
How to predict the number of students?From the complete question, the probability that a student has a television in his bedroom is:
p = 72.23%
Given that the number of students is 1370
The expected number of students that have television is:
E(x) = p * n
This becomes
E(x) = 72.23% * 1370
Evaluate the product
E(x) = 989.5510
Approximate
E(x) = 990
Hence, out of 1,370 students, 990 are expected to have a television in their bedroom
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Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system. She knows that 2,500 payroll vouchers have been issued since January 1, 2000, and her staff doesn't have time to inspect each voucher. So, she orders her staff to inspect the last 200 vouchers. Her sample is a ___________.
A. stratified sample
B. simple random sample
C. convenience sample
D. systematic sample
Answer:
The correct option is (C) convenience sample.
Step-by-step explanation:
Convenience sampling is a kind of non-probability sampling, i.e. all items does not have an equivalent chance or probability of being selected. This type of sampling method does not comprises of random collection of items.
Convenience sampling is where we take in items which are easy to reach or collect.
For example, sampling the the students of your own class or collecting sample from your own neighborhood.
In this case the Chief Financial Officer of Harrison Haulers, Inc. asks her staff to inspect the last 200 vouchers of the 2500 payroll vouchers that have been issued since January 1, 2000.
She did so because her staff did not have that much time in hand and it is quite convenient to check the last 200 vouchers.
This is because it is quite easy to review the last 200 payroll vouchers since they would be the most recent ones and quite easily accessible.
So, the sampling method used by the Chief Financial Officer of Harrison Haulers, Inc. is Convenience sampling.
Thus, the correct option is (C).
Final answer:
Pinky Bauer's inspection of the last 200 payroll vouchers is an example of convenience sampling. The correct answer is option (c).
Explanation:
Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system. Since her staff will inspect the last 200 vouchers, the sample they will use is a convenience sample.
Convenience sampling is a nonrandom method that involves selecting samples that are easiest to access. It is often used due to time constraints or other limitations, but it is important to note that this method may not provide a representative cross-section of the population, which can lead to biased results and conclusions.
help please!, i need help
Answer:
The answer to your question is 5
Step-by-step explanation:
Rate of change of a linear function is the slope of the function.
To find the answer:
1.- Find two points of the line
A = (2, 4)
B = (1, -1)
2.- Write the formula of the slope
m = (y2 - y1) / (x2 - x1)
3.- Identify the values of x1, y1, x2 and y2
x1 = 2 y1 = 4 x2 = 1 y2 = -1
4.- Substitution
m = (-1 - 4) / (1 - 2)
5.- Simplification
m = -5/-1
6.- Result
m = 5
the area A of a circle as a function of its diameter d; the area of a circle of diameter 4
The area of a circle is calculated using the formula A = πr^2. When the diameter is 4, the area is 4π square units.
Explanation:The area of a circle, A, can be calculated using the formula A = πr2, where r is the radius of the circle. The diameter, d, is twice the radius, so we can write the formula as A = π(d/2)2. When the diameter is 4, we can substitute d = 4 into the formula and calculate the area.
A = π(4/2)2 = π(2)2 = π(4) = 4π
So, the area of a circle with a diameter of 4 is 4π square units.
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In the marketing strategy for Amazon, the following statement appears: Our strategy is designed to increase the percentage of repeat customers from 80 percent to 85 percent in the next 12 months. This statement is an example of a:
Answer: continuous objective.
Step-by-step explanation:
Continuous objective-based control for self-optimizing systems with changing operation modes. Self-optimization enables technical systems to adapt their behavior to varying environmental conditions and changing operation modes. Objective functions serve as evaluation criteria for the system behavior.
What is AB? There’s an image of the triangle above
A sports shop sells 3 light bowling balls and 3 heavy bowling balls for ten-pin bowling. The weight of a heavy bowling ball is twice that of a light bowling ball. The total weight of the 6 bowling balls is 52.65 pounds. Find the total weight of the 3 heavy bowling balls to the nearest pound.
Answer:
The weigth of the three heavy balls is 35.1 pounds.
Step-by-step explanation:
In order to solve this problem we will call the weigth of the light ball by "l" and the weigth of the heavy ball by "h". The total weigth of the six balls is 52.65 pounds, so we have:
3*l + 3*h = 52.65
We know that the weigth of the heavy ball is twice the weight of the light ball, so we have:
h = 2*l
We can use this value on the equation to solve for "l". We have:
3*l + 3*(2*l) = 52.65
3*l + 6*l = 52.65
9*l = 52.65
l = 52.65/9 = 5.85 pounds
h = 2*l = 2*5.85 = 11.7 pounds
3*h = 35.1 pounds
The weigth of the three heavy balls is 35.1 pounds.
Final answer:
The weight of a light bowling ball is approximately 5.85 pounds. The weight of a heavy bowling ball is approximately 11.7 pounds.
Explanation:
The total weight of the 6 bowling balls is 52.65 pounds. Let's represent the weight of a light bowling ball as x pounds. Since the weight of a heavy bowling ball is twice that of a light bowling ball, the weight of a heavy bowling ball is 2x pounds. So we can set up the equation:
3x + 3(2x) = 52.65
Simplify and solve for x:
3x + 6x = 52.65
9x = 52.65
x = 52.65/9
x = 5.85
The weight of a light bowling ball is approximately 5.85 pounds. The weight of a heavy bowling ball is twice that, which is approximately 11.7 pounds.
For each graph below, state whether it represents a function.
HELP! idk what the dots mean and how to figure it out!
Answer:
See below.
Step-by-step explanation:
The way to check if a graph is a function is by the vertical line test.
If, anywhere on the graph, a vertical line passes through the graph at more than one point then it is NOT a function.
So we see that the graph on the top left is not a function because we can draw a vertical line through the diamond shaped graph which pass through the graph at 2 points.
The same applies to graph 2:- its not a function for the same reason.
However Graph 6 is a function because any vertical line drawn will only pass through the graph at one point.
Graph 3 is a function for the same reason.
Graph 4 is not a function because a vertical line passes through the 2 dots on the right.
What about Graph 5?
what are all the functions that have no real number solution
4x^2+100=0
3x^2-9=0
x^2+1=0
6x^2-216=0
x^2-49=0
Answer:
Step-by-step explanation:
hello :
two equations have no real number solution :
x²+1=0 : bcause x²= - 1 false x²≥ 0
4x²+100 =0 : because x² = -25 false x²≥ 0
The functions that have no real solutions include the given equations.
Explanation:The functions that have no real number solutions in the given equations are:
4x² + 100 = 03x² - 9 = 0x² + 1 = 06x² - 216 = 0x² - 49 = 0For these equations, the solutions are complex numbers or no solution at all. In the first equation, there are no real solutions, while the others have complex solutions. For example, the second equation has solutions x = ±3i, where i is the imaginary unit.
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A triangle has a perimeter of 20 cm. It is dilated by a scale factor of 4/5. What is the perimeter of the dilation?
Answer:
i believe it to be 16. Im not sure though
Step-by-step explanation:
Determine the critical values of f(x) = ax² + bx + c.
A critical value can occur where f'(x) = 0 and also where f'(x) does not exist. Since f'(x) is a polynomial, there are no x-values where f '(x) does not exist. Therefore, the only critical values will be where f'(x) = 0.
Solve the equation f'(x) = 0 for x.
Answer:
x = -b/(2a)
Step-by-step explanation:
Using the power rule for derivatives, you can find ...
f'(x) = 2ax +b
Solving for x when f'(x) = 0, we have ...
2ax +b = 0
2ax = -b
x = -b/(2a)
The critical value is x = -b/(2a).
A rectangular prism with a volume of 333 cubic units is filled with cubes with side lengths of \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction unit.
Answer:
n = 192
Step-by-step explanation:
The volume of a cube is given by the formula;
V = L³
where L = cube side
Given L as 1/4, the equation become;
V = (1/4)³
V = 1³/4³
V = 1/64
But volume of n cube = volume of rectangular prism
Therefore,
n * 1/64 = 3
n = 64 * 3
n = 192
Therefore, 192 units is needed.
Jen borrowed $1500 from her parents for car repairs. She plans to take 10% of her $450 weekly income to pay them back. At this rate, how many weeks will it take her to pay off the long?
Answer:
34 weeks
Step-by-step explanation:
450* 10% (0.10) = 45
1500/45 = 33.333
But you need to round up, so 34 weeks
You need to put your reindeer, Prancer, Quentin, Rudy, and Jebediah, in a single-file line to pull your sleigh. However, Rudy and Prancer are best friends, so you have to put them next to each other, or they won't fly.
Answer:
The correct answer is 12.
Step-by-step explanation:
There are four reindeer, Prancer, Quentin, Rudy, and Jebediah.
They are supposed to be put in a single file line to pull the sleigh.
However, Rudy and Prancer are best friends and need to be together, or they won't fly.
Thus the number of ways the reindeer are arranged are 3! × 2! = 6 × 2 = 12.
Therefore the reindeer can be arranged in 12 different ways to pull the sleigh.
The area of a rectangular baking sheet is 25 square inches. The base of the sheet is 10 inches. What is the height?
25 in.
Answer:
2.5
Step-by-step explanation:
25 is the area so u have to divide it by 10. When u divide 25 by 10, you get 2.5. 2.5 inches represents the height
Answer:
the answer is A 2.5
Step-by-step explanation:
Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply.
Answer:
x=4 x = -3/2
Step-by-step explanation:
4x^2 – 7x = 3x + 24
Subtract 3x from each side
4x^2 – 7x-3x = 3x-3x + 24
4x^2 – 10x = 24
Subtract 24 from each side
4x^2 – 10 -24 = 24- 24
4x^2 -10x-24=0
Divide each side by 2
4/2x^2 -10/2x-24/2=0
2x^2-5x-12=0
Factor
(x - 4) (2 x + 3) = 0
Using the zero product property
x-4 =0 2x+3 =0
x=4 2x = -3
x=4 x = -3/2
Answer:
answer is c and f for short answer
Step-by-step explanation:
i did the rating by accident
Did you know that the outdoor temperature can e found by counting the chirps made by crickets? According to the Farmer's Almanac, the formula C = StartFraction n Over 3 EndFraction + 4 relates degrees celsius (C) to the number of cricket chirps (n) in 25 seconds. One night while camping, Charlie counts 51 chirps in 25 seconds. What is the temperature in degrees Celsius?
Answer:
the answer is 21
Step-by-step explanation:
.
Answer:
21 is correct, & for some reason my answer was deleted... so strange, am I right ?
Answer as a power of 6
The value of [tex]\(10^2 - 4^3\)[/tex] is [tex]\(6^2\)[/tex], equivalent to 36.
To solve this expression, first, let's calculate each part:
[tex]$10^2 = 10 \times 10 = 100$[/tex]
[tex]$4^3 = 4 \times 4 \times 4 = 64$[/tex]
Now, we can substitute these values into the expression:
[tex]$10^2 - 4^3 = 100 - 64 = 36$[/tex]
Now, we need to express 36 as a power of 6. We can see that [tex]$36 = 6^2$[/tex], so:
[tex]$36 = 6^2$[/tex]
Therefore, the value of [tex]$10^2 - 4^3$[/tex] as a power of 6 is [tex]$6^2$[/tex]
The box plot represents the number of minutes customers spend on hold when calling a company.
What is the upper quartile of the data?
3
5
6
8
Answer:
6
Step-by-step explanation:
By the diagram you can see that the upper quartile is 6. Also this answer was calculated and checked!
If a number line goes from 0 to 10, the whiskers range from 2 to 8, and the box ranges from 3 to 6. a line divides the box at 5 then the upper quartile of the data is 5.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We can see that the box ranges from 3 to 6, and the line inside the box divides it at 5.
Therefore, the upper half of the box represents the data between 5 and 6.
The whisker extends from the upper boundary of the box (6) to a value of 8.
Since the whisker represents the range of data within 1.5 times the interquartile range (IQR), we can calculate the IQR as follows:
IQR = Q₃ - Q₁
where Q₁ is the lower quartile and Q₃ is the upper quartile.
We know that the lower boundary of the box (Q₁) is 3.
IQR = Q₃ - 3
Also, we know that the whisker extends to a value of 8, which is 1.5 times the IQR. Therefore,
8 = Q₃ + 1.5(IQR)
8 = Q₃ + 1.5(Q3 - 3)
8 = 2.5 Q₃- 4.5
12.5 = 2.5 Q₃
Q₃ = 5
Therefore, the upper quartile of the data is 5.
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The complete question
The box plot represents the number of minutes customers spend on hold when calling a company. a number line goes from 0 to 10. The whiskers range from 2 to 8, and the box ranges from 3 to 6. a line divides the box at 5. What is the upper quartile of the data?
What is the decimal multiplier to decrease by 3.4%?
To calculate a decimal multiplier to decrease a quantity by a certain percentage, subtract the percentage you want to decrease by from 100% and then convert to a decimal. For a 3.4% decrease, the decimal multiplier is 0.966.
Explanation:The decimal multiplier to decrease a quantity by 3.4% can be calculated by subtracting the percentage decrease from 100%, then converting into decimal form. Therefore, 100% - 3.4% gives us a remainder of 96.6%. This is the amount we want to remain after the decrease. Convert this to a decimal multiplier by dividing by 100, i.e., 96.6% ÷ 100 = 0.966. Thus, the decimal multiplier to decrease by 3.4% is 0.966.
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Please help me!!
2(5– x)3 – 11=151
Answer:
x = -22
Step-by-step explanation:
2(5– x)3 – 11 = 151
(10 - 2x)3 - 11 = 151
30 - 6x = 162
-6x = 132
x = -22
Marta looked at the results for the USA in the 2004 summer Olympics and noticed that the number of silver medals was 6 fewer (less) than twice the number of bronze medals. She also saw that the number of gold medals was four more than the number of silver medals. If the USA won 52 medals in total that year, how many of each type did they win?
Answer: They won 22 gold, 18 silver and 12 bronze.
Step-by-step explanation: Suppose gold is g, silver is s and bronze is b.
The number of silver was 6 less than twice of bronze: s = 2b - 6
Gold was 4 more than silver: g = s + 4
Total is 52: g + s + b = 52
We have 3 equations and 3 variables. To determine each one:
s = 2b - 6 (1)
g = s + 4 (2)
g + s + b =52 (3)
Substitute (1) in (2):
g = 4 + 2b - 6
g = 2b - 2 (4)
Using (1) and (4), substitute in (3)
2b - 2 +2b - 6 + b = 52
5b = 52+8
b= [tex]\frac{60}{5}[/tex]
b = 12
With b, we find s:
s = 2.12 - 6
s = 18
With s, we find g:
g = 4 + 18
g = 22
Therefore, the team won 22 gold, 18 silver and 12 bronze.
Answer:
Gold : 22 medals , Silver : 18 medals, Bronze : 12 medals
Step-by-step explanation:
Solution:-
- Denote the total number of medals won by USA, T = 52
- The number of bronze medals = x
- The number of silver medals = y
- The number of gold medals = z
- We are given that number of silver medals (y) was 6 fewer (less) than twice the number of bronze medals (x). So the mathematical representation of this observation would be:
y = 2x - 6
- Similarly, the number of gold medals (z) was four more than the number of silver medals (y). So the mathematical representation of this observation would be:
z = y + 4
- The total number of medals T:
T = x + y + z
- We have 3 equations and 3 unknowns. Solve the equations simultaneously,
z = 2x - 6 + 4 = 2x - 2
T = x + ( 2x - 6 ) + ( 2x - 2)
52 = 5x - 8
5x = 60
x = 12 bronze medals
z = 2x - 2
z = 2*12 - 2
z = 22 gold medals
z = y + 4
y = 22 - 4
y = 18 silver medals
The first day of Alex's trip was a Monday. What day of the week was Day 393939 of Alex's trip? Select the correct answer. Day 393939 of Alex's trip was a
Answer:
Thursday.
Step-by-step explanation:
We have that the first day of Alex's trip was a Monday, that is to say that the next Monday will be obtained by adding 7 to the previous numbers.
1 + 7 = 8
8 + 7 = 15
15 + 7 = 22
22 + 7 = 29
29 + 7 = 36
We have that the 36th is a Monday, therefore:
37, Tuesday
38, Wednesday
39, Thursday
In other words, the 39th would be Thursday.
A student rolled 8 number cubes and counted the total amount of even numbers to simulate the number of questions she might guess correctly on a true/false test with 8 questions. The dot plot below shows the results of one hundred trials. Based on this data, which number of correct answers is most likely?
Answer:
The number of correct answers most likely is 3
Step-by-step explanation:
A Dot Plot is a histogram form of chart used to represent small amount of data in which the values are small discrete countable variables. It is a graphical display of data using dots and graph like scales to show count (relationships) within a group or a category.
Here from the box plot, we have that the number with the highest frequency is 3. Therefore, the number of correct answers most likely is 3.
brandon wrote the number 3452. he chose two digits and recorded the value of each one what chart shows the correct values of the chosen digits
Answer:
hello we need to see the charts
Step-by-step explanation:
Sam and her 3 friends each bought a ticket at the movie theater, and they also bought a large tub of popcorn to share for $8. If the total cost was $36, how much did each ticket cost?
Answer:
each ticket costed $9.33
Step-by-step explanation:
36 - 8 = 28
28 divided by 3 = 9.33
If Sam and her 3 friends each bought a ticket at the movie theater, and they also bought a large tub of popcorn to share for $8. If the total cost was $36 then $9.3 is the cost of each ticket.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Sam and her 3 friends each bought a ticket at the movie theater,
They bought a large tub of popcorn to share for $8.
Total cost was $36.
We have to find the cost of each ticket.
Let us remove 8 from the cost 36.
Thirty six minus eight equal to twenty eight.
36-8 = 28
Let us divide twenty eight by three because there are three friends
28/3=9.30
Hence if Sam and her 3 friends each bought a ticket at the movie theater, and they also bought a large tub of popcorn to share for $8. If the total cost was $36 then $9.3 is the cost of each ticket.
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square root of 48 plus square root of 3
Answer:
2313
Step-by-step explanation:
In circle G, r = 3 units. Maria draws a circle with double the area of circle G. What is the area of Maria's circle? 6Pi units squared 9Pi units squared 12Pi units squared 18Pi units squared
Answer: 18pi unit squared
Step-by-step explanation:
Area of a circle = πr2
Radius of Circle G= 3units
Area of circle G= πr2
= π (3×3)
= 9π unit squared
Maria draws a circle with double the area of circle G. This will be:
2 × 9π
= 18π2
= 18pi unit squared
Answer:
18*pi units squared.
Step-by-step explanation:
The area of a circle can be calculated with the following formula:
Area = pi * r^2
Where r is the radius.
The circle G have a radius of 3 units, so its area is:
Area1 = pi * r^2 = pi * 3^2 = 9*pi
If the circle that Maria draws has double the area, so her circle have a area of:
Area2 = 2 * Area1 = 2*9*pi = 18*pi units squared.
What is n/2 - 10 = -8
Answer: [tex]n=4[/tex]
Simplify both sides of the equation
[tex]\frac{1}{2}n+-10=-8\\\frac{1}{2}n-10=-8[/tex]
Add 10 to both sides
[tex]\frac{1}{2}n-10+10=-8+10\\\frac{1}{2}n=2[/tex]
Multiply both sides by 2
[tex]2*(\frac{1}{2}n)=2*2\\n=4[/tex]
Answer:
[tex]n = 4[/tex]
Step-by-step explanation:
[tex] \frac{n}{2} - 10 = - 8 \\ \frac{n}{2} = - 8 + 10 \\ 2 \times \frac{n}{2} = 2 \times 2 \\ n = 4[/tex]
hope this helps you....
Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minute.
Machine B makes 16 parts every 17 minuets.
On Monday
Machine A makes parts for 12 hours.
Machine B makes parts for 10 hours.
Work out the total number of parts made by two machines on Monday. Show your working
Answer:
Machine A=504 parts in 12h
Machine B=564 parts in 10 h
Step-by-step explanation:
please find the attached picture for steps
Answer:
Part A is 504
Part B is 564.7
Step-by-step explanation:
Rates given
A=7 parts every 10 minutes
We know its 1 hour for every 60 minutes
12 hr x 60 min\1 hr is 720 minutes
720 min times 7 part divide by 10 minutes is 504 parts
B= 16 parts every 17 minutes
10 hr times 60 min divide by 1 hour is 600 minutes
600 min times 16 parts divide by 17 minutes is 564.7 parts