They make it all so complicated with all of the complex lines doing their own thing, though this is somewhat straight forward once you see it.
With the Domain, these are the x values that the line covers.
For this, it would be -5 ≤ x ≤ 4, because all of the x values are between these two values.
With the Range, these are the y values that the line covers.
For this, it would be -4 ≤ x ≤ 5, because all of the y values are between these two values.
With the X-Intercepts, these are the x values the line crosses for when the y value is 0.
For this, it would be -3 and -1.
With the max, it is the highest point within a graph, for where the y value is the greatest.
For this, it would be x = 4 at the coordinate (4, 5).
You and a friend are playing a game of chance. Every time you roll (using a fair die) a 1, 2, 3, or 4, you are successful, and your friend will pay you $1. Every time you roll a 5 or 6, you must pay your friend $2. If 65% of your rolls are successful and 35% of your rolls are unsuccessful, how much money do you expect to have won/owe by the end of the game?
You owe 41 cents
You have won 5 cents
You owe 5 cents
You have won 41 cents
Answer:
you owe $5
Step-by-step explanation:
65% wins means $65
35% losses means -$70
Answer:
You owe 5 cents.
Step-by-step explanation:
(the amount of money won)(the number of successful rolls)+(the amount of money lost)(the number of unsuccessful rolls)=expected value
65% of rolls are successful which means that 13/20 of the rolls are successful (simply convert to a fraction).
35% of the rolls are unsuccessful which means that 7/20 of the rolls are unsuccessful.
Using the equation above we can use,
(1)(13/20)+(-2)(7/20)
to find the expected value.
(1)(13/20)+(-2)(7/20)=0.05
A 98% confidence interval for a proportion is found to be (0.47, 0.53). What is
the sample proportion?
A. 0.53
B. 0.51
C. 0.49
D. 0.50
Answer:
0.50
Step-by-step explanation:
The sample proportion to be found for 98% confidence interval is
D. 0.50.
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval.
Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
In statistics, confidence is another word for probability.
Given, Sample = (0.47, 0.53).
Confidence interval = 98%.
Therefore, The sample proportion is,
= (0.47 + 0.53)/2.
= 1/2.
= 0.5.
So, The sample proportion is 0.50.
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2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
The cost of a t-shirt is £3 and the cost of a hat is £2.
What is a linear equation?
When an equation contains one or more variables with exponents as 1 then such equations are linear equations.
For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.
Let the cost of a t-shirt is £m and the cost of a hat is £n.
Formulate two linear equations using the given statements in the question.
[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]
Obtain the value of m from equation (1).
[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]
Substitute the obtained value of m into equation (1) and find n.
[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]
Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.
[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]
Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.
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Solve for the missing angle:
Answer:
47
Step-by-step explanation:
they are corresponding
What is the length of the arc shown in red?
Answer:
≈ 18.8 cm
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
The central angle is equal to the arc subtending it, that is 60°
arc = 2πr × [tex]\frac{60}{360}[/tex]
= 2π × 18 × [tex]\frac{1}{6}[/tex]
= 36π × [tex]\frac{1}{6}[/tex]
= 6π ≈ 18.8 cm ( to 1 dec. place )
Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?
8 · 2 12
8 13
8 · 2 13
need its now being timed
Answer:
it would be 8 times 2^13
Step-by-step explanation:
Brittany uses the ski machine and the treadmill at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
1) Brittany will exercise for at least 45 minutes and at most 1 hour and 15 minutes,
dividing her time between the ski machine and the treadmill.
2) Brittany will spend at least three times as much time on the treadmill as on the
ski machine.
a. Let x represent the time on the ski machine and y represent the time on the
treadmill. Write a system of inequalities that models the relationships between the
amounts of time Brittany spends on the two machines. You will have three
inequalities.
Answer:
Required inequalities are as following.
Brittany will exercise for at least 45 minutes:
x + y ≥ 45Brittany will exercise at most 1 hour and 15 minutes (= 75 min):
x + y ≤ 75Brittany will spend at least three times as much time on the treadmill as on the ski machine:
y ≥ 3xAnswer:
[tex]x + y = 5 \\ 5 \times 5 = 25[/tex]
There are 20 marbles in the box. 4 marbles are black, 6 marbles are blue, 10 are red. What is the probability of drawing a black OR a red marble?
Answer:
7/10 or 70% or 0.7
Step-by-step explanation:
4 black, 10 red
10+4=14
now you put it over the total marbles
14/20=7/10
i don't know how your teacher wants you to give the answer but it is 7/10 or 0.7 or 70%
Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?
Answer:
No
Step-by-step explanation:
A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.
At the end of her work day at the Ferguson Corporation, Sarah usually
walks to the subway station to travel home. Today, she is walking to the
Springdale Town Center first to take care of some errands. She will then
continue walking to the subway station to travel home. The map of these
routes is shown below.
2000 feet
Subway
Ferguson
Corporation
Station
Springdale
Town Center
If Sarah walks to the Springdale Town Center from the Ferguson
Corporation and then to the Subway Station, how much farther will she
walk than if she walks directly to the Subway Station from the Ferguson
Corporation? Show all of your work.
Answer:
1263.7032 feets
Step-by-step explanation:
Distance from Ferguson corporation to Springdale Town center ; let the distance = x
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 27 = x / 2000
0.5095254 * 2000 = x
1019.0508 feets
Distance from Springdale to Subway station, this is the hypotenuse :
Hypotenuse = √(1019.0508² + 2000²)
Hypotenuse = √5038464.7
Hypotenuse = 2244.6524 feets
Total distance walked from Ferguson to Springdale, then to Subway ;
(1019.0508 + 2244.6524) feets = 3263.7032 feets
Additional distance walked :
(3263.7032 feets - 2000 feets) = 1263.7032
In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:
[tex]H=1263.7032 feets[/tex]
We can use the definition of tangent to calculate:
[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]
Now using the Pythagorean theorem we have:
[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]
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It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed rounded to the nearest whole percent.
Answer: 28.8%
Step-by-step explanation:
First find out what her speed is:
Speed = Distance / Time
= 50 / 45
= 1.11 meters/second
Now her speed is:
= 50 / 35
= 1.43 meters/ second
The percentage increase in her speed is:
= (New speed - Old speed) / Old speed
= (1.43 - 1.11) / 1.11
= 0.288
= 28.8%
I NEED HELP ASAP
Acellus
Find the value of x. Round to the
nearest tenth.
X
372
6
x = [ ?
I will give brainllents If the rectangle below is enlarged using a scale factor of 2.5, what will the area of the new rectangle be?
Group of answer choices
55 in sq
150 in sq
24 in sq
27.5 in sq
Answer:
answer: 150 in sq
Step-by-step explanation:
All we have to do to these is multiply 2.5 by the base and height then multiply base × height so 2.5 × 8 = 20 2.5 × 3 = 7.5
20 × 7.5 = 150 Hope this helps!
Order these numbers from least to greatest
Answer:
- 81, 8.54, 8 13/29, 8.6
Step-by-step explanation:
Which rule can be used to find the output numbers in this table?
Answer:
D
Step-by-step explanation:
22/11 = 2
77/11 = 7
110 /11 = 10
121/11 = 11
In each case, when you divide the input by 11 you get the output.
The rule is to divide the input by 11.
Answer: D
Mr. López has a new house and wants to put a fence around the perimeter of the yard.
How many feet of fencing will he need to buy if his yard is rectangular and measures 100ft by 140ft?
A. 40 ft
B. 280 ft
C. 480 ft
D. 1,400 ft
E. 14,000 ft
Answer: C
Step-by-step explanation:
100ft + 100ft = 200
140ft + 140ft = 280
200ft + 280ft = 480ft
The graph shows the quadratic function f(x).
What is the average rate of change for the quadratic function from x = 6 to x = 8?
Enter your answer in the box.
Answer:
-1
Step-by-step explanation:
at x = 6
y = 6
point (6, 6)
at x = 8
y = 4
point (8, 4)
From (6, 6) to (8, 4)
∆y = 4 - 6 = -2
∆x = 8 - 6 = 2
ave rate change = -2/2 = -1
Answer:
What is the average rate of change for the quadratic function from x = 6 to x = 8?
Enter your answer in the box.
Answer is -1 Took the test
Step-by-step explanation:
If (X+2,4) and (5,y-1 are equal ordered pairs ,Find the value of X and y
Answer:
x = 3, y = 5
Step-by-step explanation:
Since the ordered pairs are equal, then equate the x and y coordinates
x + 2 = 5 ( subtract 2 from both sides )
x = 3
y - 1 = 4 ( add 1 to both sides )
y = 5
Janelle wants to purchase a house that costs $425,000. She needs to have 20% of the purchase price for the down payment. What is the down payment?
Answer:
85,000
Step-by-step explanation:
425,000 x .20=85,000
Which equation or function is linear?
Answer:
I think that the answer might be b
Answer:
the third one
Step-by-step explanation:
y=mx+b is the formula for a liniear equation and that follows it correctly simplified
what is the answer to this, Simplify 8 and2/3
Answer:
4
Step-by-step explanation:
I think that is the answer
3/10 divided divided by 6 =
Answer:
.05 or 1/20
Step-by-step explanation:
If you meant 3/10 divided by 6 then the answer is .05 aka 1/20
May I have brainliest if this helped you?
Hope this helped!!
Bella was here :)
You either meant the fraction 3/10 by 6 or 3 divided 10 divided by 6
Since I am not sure which one, I will do the work for both
1. 3/10 / 6
Convert 6 into a fraction
6 = 5 10/10
5 10/10=50/10
3/10 / 50/10
3/10 * 10/50 = 30/500
30/500= 3/50
3/50
2. 3 divided by 10 divided by 6
3 divided by 10 = 0.3
0.3 divided by 6 = 0.05
0.05
Hope this helps
what is the average rate of change of the population between 1930 and 1950? show your reasoning?
Answer:
The average rate of change is: 0.25
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate of change between 1930 and 1950
Average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
In this case,
[tex][a,b] = [1930,1950][/tex]
So, we have:
[tex]m = \frac{f(1950) - f(1930)}{1950 - 1930}[/tex]
[tex]m = \frac{f(1950) - f(1930)}{20}[/tex]
From the attached graph;
[tex]f(1950) = 45[/tex]
[tex]f(1930) = 40[/tex]
So, we have:
[tex]m = \frac{45- 40}{20}[/tex]
[tex]m = \frac{5}{20}[/tex]
[tex]m = 0.25[/tex]
Similar figures have the same ________ but not necessarily the same size.
Answer:
Two figures are similar if they have the same SHAPE but not necessarily the same size.
Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?
Answer: $32.39
Step-by-step explanation:
The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:
= 1/5 * 15
= 3 gallons
If Ayssa is going to fill up the tank, the number of gallons needed is:
= 15 - 3
= 12 gallons
Gas is $2.699 per gallon so cost is:
= 12 * 2.699
= $32.39
Do any of you know any written answers to the Probability Unit Test for 7th grade? I need a little help!
All tests across the world are different even if they're the same subject and stuff. I think it's easier for you to study, so if you have any questions about them please post them on Brainly!
Suppose fx) = x? What is the graph of g(x)= x(x)?
Answer:
1/2x^2
Step-by-step explanation:
f(x)=x^2 so g(x)=1/2x^2
if g(x)=x(x) then the answer is 1/2x^2
use desmos to help u select the correct graph
need ko po answer plssssss
Find the volume of the cone, round your answer to the nearest hundredth. Use 3.14
for t.
9
-2-0
units
Answer: 37.7un^3
Step-by-step explanation:
Volume = 1/3πr^2h
=1/3×π×22×9
=12π
= 37.699111843078 feet3
h(x) = 18.75 - 4.53x What is the value of h(−11)?
Answer:
h(-11) = 68.57
Step-by-step explanation:
h(x) = 18.75 - 4.53x
h(-11) = 18.75 - 4.53(-11)
h(-11) = 18.74 + 49.83
h(-11) =:68.57