Answer:
4 cans of paint
Step-by-step explanation:
Half of a can = 1/8 of the outside of the house.
2 halves = whole can of paint
8/2=4
4 cans of paint
In a 20 item true-false examination, if 12 correct answers constitute a passing grade,
what is the probability that someone will pass, if they are guessing?
A. .8398
B. .2517
C. .1201
D. .1317
Answer:
The answer is B, I know this because I just took a test with this question lol
If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.
What is meant by probability?Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of events occurring. Probability = the number of possible paths to success. The total number of possibilities For example, the probability of flipping a coin and getting heads is 12, because there is only one way to get a head and there are two possible outcomes.Therefore,
Let X denote the number of correctly answered questions out of a total of 20.
Bernoulli trails are formed by repeated coin tosses. Because the "head" on a coin represents the correct answer and the "tail" represents the incorrect answer, the questions that are correctly answered are Bernoulli trials.
[tex]$&\therefore \mathrm{p}=\frac{1}{2} \\[/tex]
[tex]&\therefore \mathrm{q}=1-\mathrm{p}=1-\frac{1}{2}=\frac{1}{2}[/tex]
X follows a binomial distribution with n = 20 and p = 1/2
[tex]&\therefore P(X=x)={ }^n C_x q^{n-x} p^x \\[/tex]
[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20-x} \cdot\left(\frac{1}{2}\right)^x \\[/tex]
[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20}[/tex]
P ( at least 12 questions answered correctly )= P (X ≥ 12)
[tex]&=\mathrm{P}(\mathrm{X}=12)+\mathrm{P}[/tex][tex](\mathrm{X}=13)+\ldots+\mathrm{P}(\mathrm{X}=20) \\[/tex]
[tex]&={ }^{20} \mathrm{C}_{12}\left(\frac{1}{2}\right)^{20}+{ }^{20}[/tex][tex]\mathrm{C}_{13}\left(\frac{1}{2}\right)^{20}+\ldots+{ }^{20}[/tex][tex]\mathrm{C}_{20}\left(\frac{1}{2}\right)^{20} \\[/tex]
[tex]&=\left(\frac{1}{2}\right)^{20} \cdot\left[{ }^{20} \mathrm{C}_{12}+{ }^{20} \mathrm{C}_{13}+\ldots+{ }^{20} \mathrm{C}_{20}\right][/tex]
Hence, If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.
The complete question is:
In an examination, 20 questions of true-false type are asked. Suppose a student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers 'true', if it falls tails, he answers 'false'. Find the probability that he answers at least 12 questions correctly.
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Question 3 of 12
A jeweler needs exactly 19,000 beads to make jewelry.
He buys 48 boxes of beads. Each box has 400 beads.
He completes the calculations below and concludes that he has bought enough boxes of beads to make all of the jewelry.
48
×
400
=
(
40
×
400
)
+
(
8
×
400
)
=
16
,
000
+
3
,
200
=
19
,
200
Which explains what the jeweler does to support his conclusion
Answer:
See explanation
Step-by-step explanation:
Given
[tex]Needed = 19000[/tex]
Required
Support the jeweler's conclusion
From the question, we have that:
[tex]Boxes = 48[/tex]
[tex]Bead = 400[/tex] per box
So, he bought a total of:
[tex]Total = 48 * 400[/tex]
[tex]Total = 19200[/tex]
Since, he needed exactly 19000 and he has 192000, we can conclude that he has enough beads
Fifty students are going on a field trip. Twenty of the students are boys. What percent of the students are girls?
Answer:
60% would be the correct answer
Step-by-step explanation:
The girls percentage among students is 60%.
What is a percentage?A percentage is a proportion that shows a number as parts per hundred. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
For the given situation,
Total number of students = 50
Number of boys = 20
Number of girls = [tex]50-20[/tex]
⇒ [tex]30[/tex]
Thus, girls percentage is
⇒ [tex]\frac{30}{50}(100)[/tex]
⇒ [tex]60[/tex]
Hence we can conclude that the girls percentage among students is 60%.
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You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play.
1) Write an equation to represent this situation.
2) How much will it cost you to play the game for 5 hours? Show your work.
Answer:
Step-by-step explanation:
1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)
2. Put in the value of x(substitute it).
$10+$3.50x
$10+$3.50(5)
$10+$17.50
Answer-$27.50
Hope it helps!
The following table shows the height of a plant at different ages.
Age (in weeks)
3
7
10
Height (in centimeters)
12
35
60
Is the height of the plant proportional to its age?
Choose 1 answer:
А
Yes
B
No
Answer:
the answer to this question would be A
5/6x-7/6=8 what Is the value of x
Answer:
x=11
Step-by-step explanation:
Priya bought x grams of flour. Clare bought 3/8 more than that.
Select all equations that represent the relationship between the amount of flour that Priya bought, x and the amount of flour that Clare bought, y
a) y= 3/8x
b) y = 5/8x
c) y= x+ 3/8x
d) y= x - 3/8x
e) y= 11/8x
Answer:
It would be C and E
Step-by-step explanation:
I know I'm extremely late but for anyone else who needs to know here you go :)
1) Caleb earned $28 for 4 hours of work. How much will he earn if he works 1 for 7 hours? (HINT: Make a table!) $16 or $39 or $49 or $ 56
Answer:
Step-by-step explanation:
First, figure out how much he makes each hour. To do this, we divide 28 by 4 which is 7. This means he makes 7 dollars an hour.
1 7
2 14
3 21
4 28
5 35
6 42
7 49
This goes on and on, but we need to know how many he makes for 7 hours. The answer is 49!
Answer:
The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
Step-by-step explanation:
We know that the data points given by (x,y) are in direct variation if:
for each (x,y)
We are given data as:
Caleb’s Earnings Hours(x) 12 15 18 21
Earnings (in dollars)(y) 140 170 200 230
So, we could see the ratio as:
Hence, we could see that each ratio are not equal.
Hence, the relationship between the earnings and the number of hours does not represents a direct variation.
The graph below shows y is a function of x.
Answer: false
Step-by-step explanation:
Profit is the amount of money that remains after all expenses of a project have been paid. Acme Construction has just completed the construction of a building, and Fred Jones, the project manager, is doing the final accounting. Acme bid $232,500 for the project and was awarded a contract for that amount. The cost of construction, including labor, building materials, and other expenses such as equipment rental was $198,468. What was the profit on this project?The total amount of profit is $______.
Answer:
$34032
Step-by-step explanation:
Acme bid $232,500 for the project and was awarded a contract for that amount.
The cost of construction, including labor, building materials, and other expenses such as equipment rental was $198,468.
We know that,
Profit = The amount of money that remains after all expenses of a project have been paid
Profit = $232,500-$198,468
= $34032
Hence, the profit is $34032.
209.106 in expender form
Answer:
209.106 = (2 x 100) + (0 x 10) + (9 x 1) + (1/10) + (0/100) + (6/1000)
Answer:
200+9+0.1+0.006.
Step-by-step explanation:
Jana and Jenn are training to run a race. Jana runs 3 miles in 1/3 hour. Jenn runs 5 miles in 3/4 hour. Who runs faster, and what is the unit rate of her speed in minutes per mile?
Answer:
Jenn runs faster at 9 minutes/mile.
Step-by-step explanation:
Jana runs 3 miles in 1/3 hour.
1/3 hour is equivalent to 1/3*60 = 20 minutes
The ratio time/distance is the reciprocal of the speed and is greater as the speed is lower and vice-versa.
This ratio for Jana is 20/3=16.7 minutes/mile
As for Jenn, she runs 5 miles in 3/4 hour.
3/4 hour is equivalent to 3/4*60=45 minutes
The ratio time/distance is 45/5=9 minutes/mile
Since Jenn has a lower ration, her speed is greater than Jana's, thus Jenn runs faster.
What do I use to make a meat loaf?
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (18, −6).
Answer:
(x-18)^2+(y+6)^=36
Step-by-step explanation:
circle basic equation is (x-h)^2+(y-k)^2=r^2
center is (18,-6) it is also externally tangent
so
(x-18)^2+(y+6)^2=36 answer
The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]
The center is (18,-6) it is also externally tangent;
Therefore,
[tex](x-18)^2+(y+6)^2=36[/tex]
Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]
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Find atleast 5 numbers between 1/2 and 1/3
Explain how sample size affects statistical significance.
Answer:
More formally, statistical power is the probability of finding a statistically significant result, given that there really is a difference (or effect) in the population. ... So, larger sample sizes give more reliable results with greater precision and power, but they also cost more time and money.
Question 1/ Which of the following describes the slopes of parallel lines? 1. same slope 2. zero slopes 3. different slopes 4. have no slope
Question 2/ what is the slope of the line represented by y = -5x + 2?
Question 3/ which of the following would be parallel to the graph of 2x -3y = 18?
Question 4/ What is the slope of the line that is parallel to the graph of y = -4x - 12
what is the circumfernce of a circle with a diameter of 10
Answer:
C≈31.42
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·10≈31.41593
The angle measures of triangle QRS are given:
The measure of angle Q is (5x−15)°.
The measure of angle R is 75°.
The measure of angle S is (3x)°.
What is the value of x?
Answer:
x = 15°
Step-by-step explanation:
(5x-15) + 75 + 3x = 180
8x + 60 = 180
8x = 120
x = 15°
The temperature at 4:00 p.m. was 2.5'F. It
dropped 0.75°F each hour for the next 4 hours.
What was the temperature at 8:00 p.m.?
Answer:-0.5; 0.75*4=3, 2-3=-0.5
Step-by-step explanation:
Answer:
-0.5...............
Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries. Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries? A. B. -1.872 – 1.615 + 217.55 > 255 -1.812 + 21.61r + 217.55 > 255 -1.8r2 – 21.611 + 217.55 < 255 C. D. -1.812 + 1.61x + 217.55 < 255
Answer:
A. -1.8x² – 1.61x + 217.55 > 255
Step-by-step explanation:
Since Pattie's Produce charges $2.29 for a package of strawberries and 95 packages can be produced daily. The money gotten daily = $2.29 × 95 packages = $217 Since 20 cent increase leads to 9 less package.
The number of 20-cent increases in the cost of a package of strawberries can be gotten from:
(2.29 + 0.2x)(95 - 9x) > 255
217.55 - 20.61x + 19x - 1.8x² > 255
-1.8x² - 1.61x + 217.55 > 255
Answer:
A. -1.8x² – 1.61x + 217.55 > 255
Step-by-step explanation:
EDMENTUM
How many times does three go into 35 m
Answer:
11 times
Step-by-step explanation:
35 divided by 3 = something like 11.6666666666. . .
That means that 3 only goes into 35 11 times since you don't count the 0.666666666. . .
Hope I helped :)
Please comsider Brainliest :)
[tex]\huge\boxed{11\;times.}[/tex]
We have the question...
How many times does 3 go into 35?
Well, this is pretty simple all you have to do is count up by 3s until you get to the number. Remember, it doesn't have to be exact though. So, here we go count by threes 11 times. We get 33 from 3*11. Therefore, your answer will be 11 times.
7
Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.
She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?
Answer:
81 Cups of Pretzels and 40.5 Cups of M&M's
Step-by-step explanation:
p= Pretzels
m= M&M;s
3p+1.5m= 1
3(27)+ 1.5(27)
81 + 40.5
IF YOU ARE REALLY GOOD AT MATH PLEASE HELP ASAP!! Select all the correct answers on the table
Evaluate each expression for a= -2, b = -4.1, and c=5.
1) a - b + c
2) -c + b - a
3) -a + ( -c)
Answers:
1) 7.1
2) -7.1
3) -3
Plug in the numbers
1. I mark as brainliest
Answer:
d
Step-by-step explanation:
If tan t=5/7, what is tan(t−Pi)?
Answer:
-0.04
Step-by-step explanation:
tan([tex]\frac{5}{7}[/tex] - π) = -0.04
Given:
[tex]\text{tan}(t)=\frac{5}{7}[/tex]
To find:
Value of [tex]\text{tan}(t-\pi )[/tex]
Solution:
To solve the given expression we will use the identity,
[tex]\text{tan}(A-B)=\frac{\text{tan}A-\text{tan}B}{1+\text{tan}A\text{tan}B}[/tex]
Now substitute the values,
[tex]A=t[/tex]
[tex]B=\pi[/tex]
[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-\text{tan}\pi }{1+\text{tan}t\text{tan}\pi }[/tex]
Since, the value of [tex]\text{tan}(\pi )[/tex] is [tex]0[/tex].
[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-0}{1+\text{tan}t\times (0)}[/tex]
[tex]=\frac{\text{tan}t}{1}[/tex]
[tex]=\text{tan}t[/tex]
Therefore, [tex]\text{tan}(t-\pi)=\frac{5}{7}[/tex] will be the answer.
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If 30% of the pupils in a school are boys, what percentage of the pupils are girls?
Answer:
70%
Step-by-step explanation:
Assuming part a is correct, how do you do b and c?
Step-by-step explanation:
B. Yes, we are 99% confident that the population mean is within the interval.
C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.
D. No. Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9. So the interval minimum would still be higher than 225.
Help!!! ASAP!!!
The sum of the areas of a polyhedron’s face is
A: Its perimeter divide by two.
B: its surface area.
C: its volume
D: non of these
Answer: The sum of the area of it's faces
Step-by-step explanation: its the surafce area.