Work Shown:
n = number of questions = 8
p = probability of getting a question correct = 1/2 = 0.5
n*p = number of questions we expect Lee to get correct
n*p = 8*0.5
n*p = 4
We expect Lee gets about 4 questions correct.
4 question that lee guessed would be correct.
There 8 question of true and false.
Lee guessed every question.
Probability can be defined as ratio of favorable outcomes to the sample of events.
Here,
Probability of guessing right answer = 1/2 = 0.5
Probability of lee guessing right answer out of 8 question.
= 0.5 x 8
= 4
Thus, 4 question that lee guessed would be correct.
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11. D(-2, 3), E(5, 5), F(-4, 10)
Find the measures of the sides of DEF,then classify it by its sides
Answer:
Step-by-step explanation:
Given the coordinates D(-2, 3), E(5, 5), F(-4, 10), to find the measure of the sides, we will use the formula for calculating the distance between 2 points as shown:
D = √(y2-y1)²+(x2-x1)²
For DE;
D(-2, 3), E(5, 5),
DE = √(5-3)²+(5-(-2))²
DE = √2)²+7²
DE = √4+49
DE = √53
For DF;
D(-2, 3), F(-4, 10)
DF = √(10-3)²+(-4-(-2))²
DF = √7²+(-2)²
DF = √49+4
DF = √53
For EF;
E(5, 5) F(-4, 10)
EF = √(10-5)²+(-4-5)²
EF = √5²+(-9)²
EF = √25+81
EF = √106
Since two he sides DE and DF are equal, this shows that the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides and angle equal
Deandra is doing her math homework out of 24 problems total could be completed the first world problems and 1 hour and the last 12 problems in 3 hours what is the unit rate for all 24 problems
A: 4 problems per hour
B: 6 problems per hour
C: 8 problems per hour
D: 12 problems per hour
Answer:
I believe the answer is B. Six problems per hr (hour)
Combined Variation:
The safe load for a horizontal beam supported at both ends varies
jointly as the width and the square of its depth and inversely as
the distance between the supports. If a 4 cm by 6 cm beam,
10 m long supports 5 kg when standing on the edge, what is the
safe load if the beam is turned on its side?
Answer:
The formula would be
wd^2c/l = p
(2*1^2c)/4 = 10
(2*1c)/4 = 10
2c/4 = 10
c = 20
3*2^2*20/6 = p
3*4*20/6 = p
240 pounds
hope it help :)
Step-by-step explanation:
The safe load if the beam is turned on its side will be 240 pounds.
What is a load?A burden or pressure source that is carried by someone or something. Construction loads are defined as the weights placed on an existing or temporary structure both during and after the construction process.
Given that the safe load for a horizontal beam supported at both ends varies jointly with the width and the square of its depth and inversely with the distance between the supports. If a 4 cm by 6 cm beam, 10 m long supports 5 kg when standing on the edge,
The load will be calculated by using the formula below:-
wd²c/l = p
(2 x( 1 ) ²c)/4 = 10
(2x 1c)/4 = 10
2c/4 = 10
c = 20
3 x ( 2 )²x ( 20/6 ) = p
3 x 4x ( 20/6 ) = p
p = 240 pounds
Therefore, the safe load if the beam is turned on its side will be 240 pounds.
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I need helpppppp!!!!
Answer: I believe yes
Step-by-step explanation:
Im sorry if this isn’t right but I believe it is
Is 12/3 a proportion
Answer:
yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
12/3 is a proportion as it is an improper fraction, and those are normal.
-3/4 x -1/5=
What is the answer??
Answer:
870000000000000000000000
The ratio of boys to girls in vonzells class is 2:3. Which of the following represents the number of boys and girls in her class? Pleaseeeee helppp meeeee.
Answer:
2 is boy and 3 is girl
Step-by-step explanation:
cauze in first place boy is plced so it is 2.
and in second place girl is placed so it is 3.
Answer:
A) 10:15
Step-by-step explanation:
both are x5
Levi has a job offer in which he will receive $800 per month plus a commission of 2% of the total price of the cars that he sells. At his current job, he receives $1200 per month plus a commission of 1.5% of his total sales. How much must he sell per month to make the new job a better deal than his current job? Define variables, write a system of equations, and solve.
Answer:
Levi must sell more than 80000 cars per month for the new job to be better than the current job.
Step-by-step explanation:
New Job;
He receives $800 per month plus a commission of 2% or 0.02 of the total price of the cars.
Now, let the total amount he receives in a month be "y" and let the amount of cars sold be x.
Thus;
y = 800 + 0.02x - - - -(eq1)
Current Job:
He receives $1200 per month plus a commission of 1.5% or 0.015 of his total sales.
Thus;
y = 1200 + 0.015x - - - (eq2)
Substituting 800 + 0.02x for y into eq(2) gives;
800 + 0.02x = 1200 + 0.015x
0.02x - 0.015x = 1200 - 800
0.005x = 400
x = 400/0.005
x = 80000
This means Levi must sell more than 80000 cars per month for the new job to be better than the current job.
please somebody i need help with this question :c
A rectangular prism is completely packed with 84 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of these best describes the volume of this rectangular prism?
Step-by-step explanation:
The volume of a cube is s^3 where s is the length of a side..
So If you have 84 cubes with sides of 1/3 in the total volume is:
v=84(1/3)^3 in^3
v=84/27 in^3
v=28/9 in^3
V=3.11 in^3 (to nearest hundredth of a cubic inch)
Angle A and Angle B are supplementary. If Angle A has a measure of 100 degrees and Angle B has a measure of 7x, what is the value of x?
Answer:
x=11.429 (rounded) because a supplementary angle is equal to 180 degrees so 180-100=80. 80/7=11.429 (rounded).
that are also equivalent to 0.5 + 10b + 4 = 19.5
A.106 +4= 19.5
B.10b + 4 = 19
C.2 (0.5 + 106 + 4) = 39
D.10b 19.5
E.10b = 15
Answer:
a⋅0.5+10b+4=19.5=a=−20b+31 ♀️I think that's the way I'm not sure!
6x+3y=12 solve for y
Answer:
Y= -2x+4
Step-by-step explanation:
Write a compound inequality that represents the Fahrenheit temperatures between 50 degrees Celsius and 70 degrees Celsius.
Answer:
112 ≤ T ≤ 158
Step-by-step explanation:
We need to convert the celsius temperature to Fahrenheit first.
The formula to use is
F = (C * 9/5) + 32
For 50 degrees Celsius
F = (50 * 9/5) + 32
= 90 + 32 = 112 F
For 70 degrees Celsius
F = (70 * 9/5) + 32
= 158 F
So the compound inequality is written as follows;
112 ≤ T ≤ 158
PLZ HELP! DUE IN 10 MINUTES!! I just need the second box! I believe the first one is correct also...
Answer:
ASA congreunce
Step-by-step explanation:
WILL GIVE BRAINLIEST IF FAST AND RIGHT
In a box there are apples, bananas, and oranges.
There are 29 total pieces of fruit.
There are twice as many apples as oranges.
There are 3 more oranges than bananas.
How many oranges are in the box?
Answer:
8
Step-by-step explanation:
apples are 2 x
bananas are x -3
Oranges are x
Total number of Fruits = 2 x + x + x -3 =29
3x+x = 29 +3
4x =32
x = 32/4
=8 Oranges
In 2009, Usain Bolt set the world record for sprinting 100m in approximately 9 3/5 seconds.
Find his average speed in meters per second.
Answer:
10 5/12 is the answer, hope this helps
Answer:
125/12 meters per second.
The solutions to the equation 2x2+x-1=2 are x=-3/2 or x=_
Answer:
the solutions are {1, -3/2}
Step-by-step explanation:
The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.
We are told that -3/2 is a solution and must find the other solution To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:
-3/2 / 2 1 -3
-3 3
-------------------------
2 -2 0
Since the remainder is 0, we have verified that -3/2 is a solution. The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1). Setting this result equal to zero yields x = 1.
Thus the solutions are {1, -3/2}.
Answer:
1
Step-by-step explanation:
Took the Test edge 2021
Write the fraction 16/40 in simplest form. If the fraction is in simplest form
To covert a fraction to it's simplest form we need to divide their numerator and denominator with the same number .
= 16/40
= 16 ÷ 4 / 40 ÷ 4
= 4/10
= 4 ÷ 2 / 10 ÷ 2
= 2/5
Since both the numerator and denominator dont have a common factor , we can say that they are in their simplest form .
Therefore , the fraction 16/40 = 2/5
Naomi is buying bagels for a family gathering. Each bagel costs $1.25. Answer the questions below regarding the relationship between the total cost and the number of bagels purchased.
Answer:
total cost = 1.50x
Step-by-step explanation:
Given cost of 1 bagel = $1.25
Let the number of bagels purchased by x
cost of x bagels = cost of 1 bagel *x
cost of x bagels = 1.50*x
Thus,
relationship between bagels and total cost is as shown below
total cost = 1.50x
where x is the number of bagels purchased.
Answer:
The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.
A function relating these variables is N(x) = 1.25x.
So N(4) =5, meaning 4 bagels will cost 5 dollars.
Please give me Thanks
The graph of this system of equations is used to solve 4 x squared minus 3 x + 6 = 2 x Superscript 4 Baseline minus 9 x cubed + 2 x. StartLayout Enlarged left-brace 1st row 4 x squared minus 3 x + 6 2nd row y = 2 x Superscript 4 Baseline minus 9 x cubed + 2 x EndLayout What represents the solution set? y-intercepts of the graph x-intercepts of the graph y-coordinates of the intersection points x-coordinates of the intersection points
Answer:
D on edulastic 2020
Step-by-step explanation:
Answer:
7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0
Step-by-step explanation:
The ordered pair below represents a point of the line3y+4x=5. enter the missing y- Coordinate for this point in the box
(-1/4, )
9514 1404 393
Answer:
(-1/4, 2)
Step-by-step explanation:
Substitute the given information into the equation and solve for y.
3y +4(-1/4) = 5
3y -1 = 5 . . . . . . simplify
3y = 6 . . . . . . . . add 1
y = 2 . . . . . . . . . divide by 3
The point is (-1/4, 2).
Answer:
2
Step-by-step explanation:
( 1/4 , 2 )
write the standard form of the equation that is perpendicular to y = 5x + 4 and goes through point (3, -2).
Answer:
y=-1/5x-7/5
Step-by-step explanation:
y=5x+4
(y+2)=-1/5(x-3)
y+2=-1/5x+3/5
y+10/5=-1/5x+3/5
y=-1/5x-7/5
Answer: x+5y= -7
Step-by-step explanation:
BRAINIEST IF RIGHTJamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid will receive.
A x = seven divided by one hundred five
B x = one hundred five divided by seven
C 7 + x = 105
D x = 105 − 7
Answer:A
Step-by-step explanation:
Answer:
B. 105 ÷ 7 = x
Step-by-step explanation:
Step 1:
105 candies ÷ 7 kids = x amount of candies per kids Equation
Step 2:
105 ÷ 7 Divide
Answer:
x = 15
Hope This Helps :)
Write the equation in slope-intercept form. y - 2 = 6 (x + 1)
Answer:
Step-by-step explanation:
y-2=6x+6
y=6x+8
Help pleaseI don’t understand
Answer:
Angle 3 is 65
Angle 8 is 115
Step-by-step explanation:
Just solve for 50 points and brainliest!
10-5=
6-4=
Answer:
10-5= 5
6-4=2
Step-by-step explanation:
subtracting
Answer:
10-5=5
6-4=2
Subtract 5 from the 10, which gets you 5.
Subtract 4 from 6, and you get 2.
The sum of two numbers is 72. One number is 8
more than the other. Find the numbers.
Can someone help me?
Answer:
32 and 40
Step-by-step explanation:
Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72
Equation:
2x + 8 = 72
2x = 64
x = 32
So now we know the smaller number is 32, so now add 8 and we get 40.
Therefore the 2 numbers are 32 and 40
Ms. Jones had $40 to purchase groceries. She bought 4 packs of rice and 3 boxes of granola bars. The packs of rice cost $1.09 each, and the boxes of granola bars cost $4.29 each. How much money did Ms. Jones have left after these purchases?
answer choices
$8.51
$17.23
$22.77
Answer:
so to know full price of granola bars and rice packs; you would multiply 1.09 × 4 for the rice which you get 4.36 then for granola bars you do 4.29 × 3 and you get 12.87 then you add 12.87 + 4.36 = 17.23 then you subtract this from the $$ Mr.Jones has which is 40 so its 40-17.23 and you get 22.77
simplify: -(7z-12b+4c)
Answer:
-7z+12b-4c or 12b-4c-7c
Nora loves to play the Bridge Builders video game, where players gain and lose points by
building safe and unsafe bridges. In Level 1, Nora earned 16 points because her bridge
passed inspection. Then, she lost 25 points because part of her bridge collapsed!
Answer: Its -9
Step-by-step explanation:
because 16 - 25 = -9