Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Now, we know percentage accuracy is given by :
[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
Hence, this is the required solution.
Two vectors added using the tip to tail method. There is a 12 meter vector west added to a 5 meter vector north in a right triangle. The hypotenuse is a dashed arrow labeled R. What is the magnitude of the resultant vector? 13 miles 17 miles 60 miles 169 miles
Answer:
The answer is below
Step-by-step explanation:
The two vectors together with the resultant vector forms a right angled triangle. The resultant vector R can be gotten using the formula:
R² = 12² + 5²
R² = 144 + 25
R² = 169
R = √169 = 13
R = 13 miles
The resultant vector is 13 miles
The direction is gotten from:
θ = tan⁻¹(5/12)
θ = 22.62° North West
The resultant vector is therefore 13 miles North West
Answer:
13.9
Step-by-step explanation:
An object travels 8 miles in 20 minutes at a constant speed. What is the
object’s speed in miles per hour?
Answer:
The answer is 0.4mph
Step-by-step explanation:
To find the speed of an object, you do distance ÷ time.
So you do 8 ÷ 20 which is 0.4.
So the object travels 0.4mph
13. To rent a car, you pay a one-time charge of $45 plus a charge of $0.29 for
every mile that you drive. If you drive 120 miles, how much is the total charge for
the rental car?
(c) $79.80
(a)' $75.29
(d) $74.71
(b) . $165.29
(e) none of these
Please show the work
Answer:
The correct choice is (c) $79.80
Step-by-step explanation:
The total charge for renting a car can be split into two parts:
A fixed one-time charge of $45
A variable charge of $0.29 per driven mile.
If I drive 120 miles, the variable charge will be 120*0.29 = $34.80
The total charge will be $45 + $34.80 = $79.80
The correct choice is (c) $79.80
I HAVE 5 MINUTES (15 points)
Answer:
A
Step-by-step explanation:
Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?
The dollar amount of shoes she sold is $1800
Let the amount of the shoe sold e xWhat is commission?It is the amount earned on a product bought or sold.
If she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:
11.5% of x = 207
0.115x = 207
Divide both sides by 0.115
x = 207/0.115
x = $1800
Hence the dollar amount of shoes she sold is $1800
Learn more on discount here: https://brainly.com/question/24304697
What’s the value of y if x = 88
Help ASAP please please plsssssssssssssssssss
Answer:
1.666666667
Step-by-step explanation:
Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{32}1 32. Who will get the greater quotient, Susan or Robyn? Write "Susan" or "Robyn." What is Susan's quotient? Write your answer as a whole number. What is Robin's quotient? Write your answer as a whole number.
Given:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
To find:
The quotient of Susan and Robyn.
Solution:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10[/tex]
So, Susan's quotient is 10.
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20[/tex]
So, Robyn's quotient is 20.
Since 20>10, therefore, Robyn will get greater quotient.
can a triangle have an exterior angle that is obtuse at two vertices? Explain
Answer:
Yes
Step-by-step explanation:
An obtuse triangle will have two obtuse angle at its exterior.
Take for instance, the angles in the triangle are 100, 40 and 40.
The exteriors would be 80, 140, 140 (this is gotten by subtracting each interior angles from 180).
So, using the above analysis, we can conclude that the statement is possible.
Draw diagonals ACand BDon rectangle ABCD. Measure and record the lengths of the diagonals.
Answer:
Diagonal Length
AC 7.21
BD 7.21
Step-by-step explanation:
Answer:
Diagonal | Length
AC | 7.21
BD | 7.21
Step-by-step explanation:
-edmentum
How does knowing some constructions help you do other, more complicated constructions
Answer:
the first thing you learned is the base. then you can build off of it. just like math. you learn simple adding then you go onto multiplication and division.
Graph the solutions to I-2 on a number line.
help!! will mark brainly
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided.
36÷−4=
Answer:
the answer is 9 so yeah.....
(f-g)(x)=
x2+x-4
x2+x+4
Answer:
2x+x+4=3x+4
Step-by-step explanation:
please help. i will mark brainleast
Answer:
9 is the answer.
Both negative signs cancel eachother, so you just have 45/5.
Step-by-step explanation:
Good luck! <3
Which division problem does the number line below best illustrate?
A number line going from 0 to 2 in increments of 0.2.
2 divided by one-fifth = 10
1 divided by one-fifth = 10
2 divided by one-tenth = 5
1 divided by one-tenth = 5
Answer:
A
Step-by-step explanation:
Hope this helps!!!!!!!!!!!!!!!!!!:)
Answer:
is it C OR A
Step-by-step explanation:
The concentrates were pooled from the blood of about 1000 donors per lot. If the prevalence of HIV in donor blood in the early 1980s was 1 in 3,000, what was the probability that a hemophiliac would contract HIV from a single infusion of clotting factors?
Answer:
The required probability is "0.0003".
Step-by-step explanation:
Throughout the early 1980s, reconstructed coagulation factors concentrate extracted from individual blood was collected by hemophiliacs. The concentrate was obtained from either the blood of approximately 1000 donors every lot. The occurrence of hepatitis C throughout donated blood reached 1 in 3000 throughout the early 1980s.Therefore, the risk though from a single injection of clotting factors, a hemophiliac would contracted hepatitis C seems to be:
= [tex]\frac{1}{3000}[/tex]
= [tex]0.0003[/tex]
how do I solve -15+w=6
Ans
Add 15 to 6 so w= 21
Step-by-step explanation:
(?)^2-3(?)=-2 can anyone solve this
Answer: x = 1 or x = 2
Sub in x for ?:
x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)
x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)
x^2-x-2x+2 = 0 (Factor the expression)
x(x-1)-2(x-1) = 0 (Group like terms)
(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)
x-1 = 0
x = 1
x-2 = 0
x = 2
∴ x = 1 or x = 2.
Please need help fast. Look at the picture.
Please explain.
help!
Instructions: Write an expression to represent the given scenario.
Your friend Isabella is growing her hair out so that she can cut it and donate it to a charity that makes wigs for childhood cancer victims. On average, hair typically grows 1.5 cm per month. Write an expression that represents the total growth Isabella should expect based on the number of months, m, she lets her hair grow.
Answer:
y = 1.5m
Step-by-step explanation:
Since we are finding the length after a certain number per month, that means we will be multiplying.
1.5 for EVERY month so it would look like
_ = 1.5m
We can replace the blank with the variable y.
y = 1.5m
Hope that helps and have a great day!
help me .................
Answer:
Perpendicular
Step-by-step explanation:
the slope of b is -3/4 and the slope of a is 4/3
Answer:
Perpendicular
Step-by-step explanation:
The lines are perpendicular because they meet at a right angle (90 degrees).
What is the equation of the line that passes through the points (4,-4) and has a slope of -3/4
Answer:
the desired equation is y = (-3/4)x - 1
Step-by-step explanation:
Start with the slope-intercept formula y = mx + b.
Substitute -4 for y, +4 for x and -3/4 for m:
-4 = (-3/4)(4) + b
Then -4 = -3 + b, so b must be -1
and the desired equation is y = (-3/4)x - 1
What is the measure of angle F?
A. Cannot be determined
B. 65°
C. 55°
D. 75°
Answer:
65 degrees since both opposite sides are 10
Answer:
65 degrees
Step-by-step explanation:
Just took the test
In one version of trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes.
Select one:
Yes
No
Answer:
No
Step-by-step explanation:
The 4.5 cups of peanuts should be 4
19th October, 2020
the diagram below is a plane figure made up
of a rectangle of sizes 50m by 28 m and an
equilateral of height 24 cm. A circle is cut-out
of the rectangle as shown. If the circle
touches the three sides of the rectangle Calculate
a) the perimeter of the figure
the remaining portion of the figure.
Answer:
Step-by-step explanation:
Equilateral Triangle:
Side of triangle = breadth of rectangle
= 28 cm
height = 24 cm
Area of triangle = [tex]\frac{1}{2}base * height\\\\[/tex]
= [tex]\frac{1}{2}*28*24[/tex]
= 28* 12
= 336 square cm
Rectangle:
length = 50 m
breadth = 28 m
Area of rectangle = length * breadth
= 28 * 50
= 1400 square cm
Diameter of circle = breadth of rectangle
d = 28 cm
r = 28/2 = 14 cm
Area of circle = πr²
[tex]= \frac{22}{7}*14*14\\\\= 22 * 2 * 14[/tex]
= 616 square cm
Area of the remaining portion = Area of rectangle - area of circle + area of triangle
= 1400 - 616 + 336
= 1120 square cm
Perimeter of the figure = 28 + 50 + 28 + 28 + 50
= 184 cm
Hint: Perimeter of the figure. three side of rectangle + two sides of triangle
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds.
Answer:
There were 15 small boxes shipped and 5 large boxes shipped.
Step-by-step explanation:
Let s = the number of small boxes shipped
Let l = the number of large boxes shipped
Each small box weigh 35 pounds, so (s) small boxes weigh 35s pounds. Each large box weigh 65 pounds, so (l) large boxes weigh 65l pounds. Therefore, the total weight 35s + 65l equals 850:
35s + 65l = 850
Since there were 3 times as many small boxes shipped as large boxes, there were MORE small boxes, so if we multiply 3 by the number of large boxes, we will get the number of small boxes, meaning s equals 3l
s = 3l
Write System of Equations:
35s + 65l = 850
s = 3l
Substitute value of s into the first equation:
35(3l) + 65l = 850
105l + 65l = 850
170l 850
__ = __
170 170
l = 5
Since l = 5, we know 5 large boxes were shipped.
Use l = 5 to solve for s:
s = 3l
s = 3(5)
s = 15
Since s = 15, we know 15 small boxes were shipped.
Translate this into an equation.
The product of Greg's height and 5 is 90.
use g to represent Greg's height.
Answer:
g times 5 equals 90
Step-by-step explanation:
Answer:
g5 = 90
Step-by-step explanation:
if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.
Solve for y.
C=8(y + k)
Answer:
C/8 -k= y
Step-by-step explanation:
C=8(y + k)
Divide each side by 8
C/8 = y+k
Subtract k from each side
C/8 -k = y+k-k
C/8 -k= y
Answer: y = C /8 − k
Step-by-step explanation:
Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well
Answer:
yah for some reason i cant find it
Answer:
sssssssssssssss
Step-by-step explanation: