Answer:
4
Step-by-step explanation:
Add up your data. 3+13+11+5=32Divide the sum by the number of data you have. In your case you would divide 32/4/This will give you 8, which is your mean. Now, subtract 8 from each value and put the difference to its absolute value.Now, add up each of these values (5+5+3+3=16), then divide by 4. This will give you an answer of 4.Hope this helps! Have a great day :)
Robert spun the fair spinner shown below 1,060 times,
About how many times would Robert expect to spin a 1, 3, or 8?
Answer:
About 400 times
Step-by-step explanation:
Given
[tex]n = 1060[/tex]
See attachment for spinner
Required
Determine the number of times an outcome of 1, 3 or 8 is expected
First, calculate the theoretical probability of 1, 3, or 8
This is calculated as:
[tex]Pr = P(1) + P(3) + P(8)[/tex]
The spinner is divided into 8 equal segments and each outcome appears once.
So, we have:
[tex]Pr = \frac{1}{8}+\frac{1}{8}+\frac{1}{8}[/tex]
Take LCM and add
[tex]Pr = \frac{1+1+1}{8}[/tex]
[tex]Pr = \frac{3}{8}[/tex]
So, the expected number of times (E) is:
[tex]E = Pr * n[/tex]
[tex]E = \frac{3}{8} * 1060[/tex]
[tex]E = \frac{3* 1060}{8}[/tex]
[tex]E = \frac{3180}{8}[/tex]
[tex]E = 397.5[/tex]
Approximate
[tex]E = 398[/tex]
This means about 400 times
Brendan has $200 in a savings account with a 1% interest rate. Using the formula for simple interest, how much will he earn in interest after 7 years?
Answer:
$14
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 200(.01)(7)
I = 14
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write the quadratic equation in factored form. Be sure to write the entire equation.
x2 - 5x - 24 = 0
Answer:
2x-5x-24=0
-3x-24=0
-3x=24
x=24/-3
x=-8
Answer:
x=x2-24/5
2 −24
Step-by-step explanation:
x2−5x−24=0
Add 5x to both sides. Anything plus zero gives itself.
x
2
−24=5x
Add 24 to both sides.
x
2
=5x+24
Please answer number 5 I’ll give brainliest thanks
Answer:
Hello! answer: C
Hope that helps!
Answer:
b
Step-by-step explanation:
Experimental - 5 choices, 1 is Q = 1/5
Theoretical - 5 choices, landed on Q 4 times =4/5
choose the correct symbol to compare the fraction 8/10 and 4/5
Answer:
[tex]\frac{8}{10} =\frac{4}{5}[/tex]
Step-by-step explanation:
Both the numerator and denominator of the fraction [tex]\frac{8}{10}[/tex] share a common factor of 2, so you can divide the fraction by [tex]\frac{2}{2}[/tex](1). This leaves you with:
[tex]\frac{8}{10}[/tex] ÷ [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{5}[/tex]
This means that the fraction [tex]\frac{8}{10} =\frac{4}{5}[/tex].
These cones are similar. Find the surface
area of the smaller cone. Round to the
nearest tenth.
2 cm
3 cm
Surface Area = [ ? ) cm2 Surface Area = 75 cm2
Helppppp plssss
Answer:
33.3 cm²
Step-by-step explanation:
Recall: Area Scale Factor = (Linear Scale Factor)²
Area scale factor = surface area of bigger cone/surface area of smaller cone
Let the surface area of the smaller cone be represented as x
Therefore,
Area scale factor = 75/x
Linear scale factor = radius of bigger cone/radius of smaller cone = 3/2
Thus:
75/x = (3/2)²
75/x = 9/4
Cross multiply
x*9 = 75*4
9x = 300
Divide both sides by 9
x = 300/9
x = 33.3 cm² (nearest tenth)
A multiple choice test contains questions
with four options each: A, B, C, or D. If
Natalie randomly guesses on the last three
questions, what is the probability that she
gets all three correct?
Answer:
Probability of getting all three correct answer = [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Given - A multiple choice test contains questions with four options each: A, B, C, or D. If Natalie randomly guesses on the last three questions.
To find - what is the probability that she gets all three correct.
Proof -
Given that, question has 4 options.
And 1 option can be correct,
Let
x be that Natalie gives correct answer.
So,
Probability of getting, correct answer, P(x) = [tex]\frac{1}{4}[/tex]
So,
Probability of getting, incorrect answer, P(x') = 1 - [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex]
Now,
Given that, she guess the 3 questions.
All correct means,
first, second, third question answer is correct.
So,
Probability of getting all three correct answer = [tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{64}[/tex]
Emma buys two bus tickets to Bradford. She pays with a £10 note. How much change will she get?
Hello there I hop you are having a good day :)
So, if she brought 2 tickets an they cost £4.00 you would add £4.00 + £4.00 = £8.00 and then you would take that away from the £10.00 - £8.00 = £2.00 so Emma would get £2.00 change :) hopefully that helps you.
does the following data show direct variation.
Help me out it’s important thank youuuu
Answer:
120 000 centimeters
Step-by-step explanation:
Answer:
120,000 cm³
Step-by-step explanation:
Given :-
A block of hay with dimensions 100 cm × 40 cm × 30cm is given .And we need to find the volume of the hay . The hay is in the form of cuboid .We know that the volume of a cuboid is ,
[tex]:\implies[/tex] Volume = l × b × h
[tex]:\implies[/tex] Volume = 100cm*40cm*30cm
[tex]:\implies[/tex] Volume = 1,20,000 cm³
Hence the correct option is B .Find the area of the shaded region 29.8, 28, 13
The solution is, The area of the shaded region is 112cm^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
First find the area of the rectangle
A = l*w
= 9*16
= 144
The unshaded area is a trapezoid
A = 1/2 ( b1+b2) *h
= 1/2 ( 5+11) * 4
= 1/2 (16) * 4
=32
The area of the shaded region is
rectangle - trapezoid
144-32
112cm^2
Hence, The solution is, The area of the shaded region is 112cm^2.
To learn more on Area click:
brainly.com/question/20693059
#SPJ3
solve the given system of equations 2x + 8y= 5 and 24x - 4y = -15
9514 1404 393
Answer:
(x, y) = (-1/2, 3/4)
Step-by-step explanation:
A graphing calculator does a nice job of finding the solution.
(x, y) = (-1/2, 3/4)
__
You can eliminate y by adding twice the second equation to the first.
(2x +8y) +2(24x -4y) = (5) +2(-15)
50x = -25
x = -1/2 . . . . . . divide by 50
__
24(-1/2) -4y = -15 . . . . .substitute for x in the second equation
-4y = -3 . . . . . . . . . add 12
y = 3/4 . . . . . . . . . divide by the coefficient of y
The solution is (x, y) = (-1/2, 3/4).
guys help meeee im timed
Tessellations
Determine whether the following regular polygon tessellates the plane.
Decagon
a. Yes; measure or interior angle = 144
b. no; measure of interior angle = 144
c. yes: measure of interior angle = 36
d. no; measure of interior angle = 36
Please select the best answer from the choices provided
Answer:
B. No; measure of interior angle = 144
Step-by-step explanation:
I calculated it logically
Ms. Dodd buys 6 coffees for the teachers for a total of $19.50. Write an equation that can be used to find the cost of one coffee, c.
Answer:
19.50/6=c c=3.25
Step-by-step explanation:
In this case C=3.25
Answer:
19.50÷6= c
Step-by-step explanation:
19.50÷6 =c
divide to find how much 1 cup of coffee is
If a vertical angle has 74 degree and also opposite angle is 2x degree ,what is value of x?
Answer:
x = 37
Step-by-step explanation:
Well if you didn't know vertical angles are congruent ( or equal to each other )
Which means that 74 = 2x
If we want to find the value of x, then we need to get rid of the "2" on 2x
To do so we can divide each side by 2
74 / 2 = 37
2x / 2 = x
we would be left with x = 37
An average of 40 cars per hour arrive to be painted at a single-server GM painting facility. 95% of the cars require 1 minute to paint; 5% must be painted twice and require 2.5 minutes to paint. Assume that interarrival times are exponential.
a. On the average, how long does a car wait before being painted?
b. If cars never had to be repainted, how would your answer to part (a) change?
Answer:
2.719 minutes
Step-by-step explanation:
Step 1 :
We have to consider using the M/G/I /GD /∞/∞ Queuing system with the rate of arrival λ and the rate of service μ.
Since average of 40 cars arrive every hour at the painting facility, it follows that:
Arrival rate λ = 40cars /hour
= 40/60 cars/hour
=2/3 cars/hour
More, we were told that 95% of the cars require 1 minute to paint, 5% must be painted twice and require 2.5 minutes to paint, therefore, the average time to paint a car is given by
95/100x1 + 5/100 x 2.5 = 19/20 + 1/8 = 43/40min
It follows that:
Service rates μ = 40/43cars/min
Problem: 2=414x - 4+18
Step 1:-16 = 4.14x-4
Step 2: 4 = 4x-4
Step 3: 16 = 41-4
Step 4: 20= 4x
Y = 5
Analyze her work. Did she make a mistake, and if so where?
Answer:
2=414x-4+18
2=414x+14
2-14=414x
-12=414x
-12/414=x
Step-by-step explanation:
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two yellow
marbles if the first one is NOT placed back into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
1
[ ?
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Answer: 1/45
Step-by-step explanation:
graph your linear equation. y=x÷3
Given a bag of marbles 3 are red, 5 are black, and 8 are green, what is the
probability that the you do not pull out a red marble?
Answer:
13/15
86.67%
Step-by-step explanation:
non red marbles = 13
total marbles = 15
13/15 = 0.866667
86.67%
Five times the sum of 4 and some number is 40.
Answer:
5 × 4 = 20 not 40
Step-by-step explanation:
What is 3 fifth of 100
60 I think?
I may be wrong-
Answer:
60
Step-by-step explanation:
properties of trapezium
Answer:
The sum of its angles Is 360°(Like any quadrilateral)
Adjacent angles are Supplementary(Add to 180°)
The diagonals Bisect each other
sin(A) =
cos(A) =
tan(A) =
m
Step-by-step explanation:
hhHHhUauahhahzh
bBNznn
did you u know that
that ans is i don't khow
what is the volume of the cube I'm confused (look at the picture to see)
Answer: D (64)
Step-by-step explanation:
My answer is correct because, it's showing that 4 is the length, width, and height. So it bassically 4 x 4 x 4 in other words 4 exponent 3. And 4 exponent 3 would equal 64.
Hope This Helps!
PLssssssssssssss help..
Answer:
141.4
Step-by-step explanation:
i think
HELP!!
What is the lateral and surface area of this triangle?
what is 20% off £49.90
Answer:
£9.98
Step-by-step explanation:
Answer:
£39.92
Step-by-step explanation:
Step 1: Find 20% of 49.90 = 9.98
Convert 20% into a decimal[tex]20\%\:=\frac{20}{100}[/tex][tex]=0.2[/tex]Multiply 0.2 to 49.90[tex]=0.2\cdot \:49.9[/tex][tex]=9.98[/tex]Step 2: Now subtract the result from the original price
[tex]49.90 - 9.98[/tex]
[tex]=39.92[/tex]
£39.92 is 20% off £49.90
The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 6.03 ounces and a standard deviation of 0.22 ounces. Suppose that you draw a random sample of 40 cans.
Part i) Using the information about the distribution of the net weight given by the manufacturer, find the probability that the mean weight of the sample is less than 5.99 ounces. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places. Use Rcmdr for this question.)
Probability (as a value to 3 decimal places between 0 and 1 inclusive) ______
Part ii) Use normal approximation to find the probability that more than 56% of the sampled cans are overweight, i.e. the net weight exceeds 6 ounces. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places. Use Rcmdr for this question.)
Probability (as a value to 3 decimal places between 0 and 1 inclusive) _______
Answer:
Following are the solution to the given points:
Step-by-step explanation:
For point (i):
[tex]P(X < 5.99) = P(Z < (\frac{(5.99 - 6.03)}{\frac{0.22}{\sqrt{(40)}}})[/tex]
[tex]= P(Z < -1.15) \\\\= 0.125[/tex]
For point (ii):
[tex]P(X> 6) = P( Z > \frac{(6 - 6.03)}{(\frac{0.22}{\sqrt{(40)}})})[/tex]
[tex]= P(Z > -0.8624 ) \\\\ = 0.806\\\\\to n = 40 \\\\ \to p = 0.806\\\\\to 56\% = 0.56\times 40 = 22.4\\\\\to u = np = 40\times 0.806 = 32.24\\\\P(X > 22.4) = P(Z > \frac{(22.4 - 32.24)}{\sqrt{(40\times 0.806\\\times (1-0.806))}})[/tex]
[tex]= P(Z > -3.93 ) \\\\= 1[/tex]