Answers
Answer:
3. 1/28
4. About 7.11%
Step-by-step explanation:
3.
Since two of the eight ads are by a local retailer, the probability of picking either one once is 2/8=1/4. However, the second time, since on of the ads has already been used and there are a total of 7 left, the new probability is 1/7. Multiplying these two together, you get 1/4*1/7=1/28.
4.
To find the probability, you need to find the area of the smaller triangle and the rest. The formula for the area of an equilateral triangle is [tex]\frac{\sqrt{3}}{4}a^2[/tex], meaning that the area of the big triangle is [tex]56.25\sqrt{3}[/tex] and the area of the little triangle is [tex]4\sqrt{3}[/tex]. [tex]\frac{4\sqrt{3}}{56.25\sqrt{3}}\approx 7.11\%[/tex]. Hope this helps!
Related Questions
Need help ASAP. WILL MARK BRAINLIEST
Answers
Answer: 150.80 inches.
Step-by-step explanation:
Answer:
75.36
Step-by-step explanation:
You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.
whats 2.638 rounded to the nearest hundredth?
Answers
Answer:
2.64
Step-by-step explanation:
The 8 in the thousandths place can round up to .64
If one angle of a set of supplementary angles measures 77°, then the other angle measures _____.
Answers
If two angles are supplementary, then
the sum of their measures is 180°.
So if the measure of an angle is 77°,
the measure of its supplement is 103°.
We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 77 or 103°.
Answer:
then the other angle measures _1_0_3_.
The Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed. What is the independent variable in this relationship?
Answers
Answer:
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
Step-by-step explanation:
From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
36x^2 + 84xy + 49y^2 = ?
A. (6x + 7y)(6x - 7y)
B. (12x + 7y)(3x - 7y)
C. (6x + 7y)^2
D. (6x - 7y)^2
Answers
Answer:
The answer is C
Step-by-step explanation:
What is 12 1/2- (4 1/2
Answers
Answer:
Step-by-step explanation:
What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4 feet, and 20 feet by 5 feet.
Answers
Answer:
252 ft²
Step-by-step explanation:
A triangular prism has three rectangles and two triangles, to find the surface area, first find the surface area of thee rectangles and then the surface area of the triangles. After that add all the surface area.
For rectangle 1, surface area = 20 × 3 = 60 ft²
For rectangle 2, surface area = 20 × 4 = 80 ft²
For rectangle 3, surface area = 20 × 5 = 100 ft²
The triangle has height, base and hypotenuse. 5 ft is the hypotenuse and the height and base are 3 ft and 4 ft.
5² = 3² + 4²
For the triangle, the surface area = 1/2 × base × height = 1/2 × 3 × 4 = 6 ft²
Total surface are = 60 + 80 + 100 + 2(6) = 252 ft²
In PQR, m 2 R = 90°. Which ratio represents thе соѕinе of Angle Q?
Answers
Answer:
Triangle PQR has right angle R (R = 90 deg).
=> RQ and RP are adjacent sides, PQ is hypotenuse
=> cos Q = QR/PQ
=> Option B is correct
Hope this helps!
:)
54 out of 72 is what percent
Answers
Answer:
the answer is 75 percent
A circular swimming pool has a diameter of 23 feet. What is the distance around the swimming pool?
Answers
Answer:
72.22 ft
Step-by-step explanation:
The circumference is calculated by pi x d
Answer:
About 72.3 feet
To be exact: The distance around the pool is 23π feet
Step-by-step explanation:
The question asks for the distance around the pool.
What does that mean?
It sounds similar to circumference of the circle shaped pool.
So, use the formula: C = (pi)*d
C = (pi) * 23 feet
C = 3.1415926 * 23 = 72.256 feet (approximately)
Which arc measures 180°
А.
8
AE
BD
Answers
d or DC
Hope this helps!! :)
what is (4x+1)(4x+1)
Answers
Answer:
(4x+1)^2
Step-by-step explanation:
Anything times itself is itself squared
Answer:
8x+2
Step-by-step explanation:
(4x+1) (4x+1)
= 8x + 2
Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning?
Answers
Answer: No
Step-by-step explanation:
Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.
Mean should be used for average values
Answer:
da ba dee da ba doo im blue
Step-by-step explanation:
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.
Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.
The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.
A plumber laying five hundred meters of drain pipe requires twenty men working for ten days. What length in meters would be laid by fifty men in five days?
Answers
Answer: 625 meters
Step-by-step explanation: Five hundred meters of pipe would require twenty men working for ten days.
First, we have to find the rate of work for one man. This is calculated thus:
(500m) ÷ (20men × 10 days) = 500 ÷ 200 = (5/2) = 2.5 meters per day
From the rate of work of one man, we can then calculate the length in meters that fifty men can lay in five days. This is calculated thus:
50 men × (5/2) × 5 days = 50 × 2.5 × 5 = 625 meters.
Therefore, fifty men working together would lay six hundred and twenty five (625) meters of pipe in five days.
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
Answers
Answer:
(4;0)
Step-by-step explanation:
y=0
2x-3×0=8
2x=8
x=4
one person has corona virus then ten more people catch it how many people have corona virus
Answers
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
1 - Person already infected
10 - People who got the virus
1 + 10 = 11
Simplify x + 3x - 36
Answers
Answer:
4x-36
Step-by-step explanation:
3x+x=4x
Answer:
4(x - 9)
Step-by-step explanation:
x + 3x - 36 =
= 4x - 36
= 4(x - 9)
A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).
Answers
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]
For x = 78, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]
From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%
Liz flips a coin 70 times. The coin lands heads up 28 times and tails up 42 times. Complete each
statement.
Answers
Answer:
whar state ment
Step-by-step explanation:
−3x+7y=5x+2yminus, 3, x, plus, 7, y, equals, 5, x, plus, 2, y Complete the missing value in the solution to the equation. (−5,(-5,(−5,left parenthesis, minus, 5, comma )))right parenthesis
Answers
Answer:
[tex](-5,-8).[/tex]
Step-by-step explanation:
Given the equation
[tex]-3x+7y=5x+2y[/tex]
We need to find the missing value of the coordinate; (-5, __)
First, we collect like terms
[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]
When x=-5
[tex]-8*-5=-5y\\\\40=-5y[/tex]
Dividing both sides by -5
[tex]y=-8[/tex]
The missing value of the coordinate (-5,y) is -8.
Thus, the complete solution to the equation is [tex](-5,-8).[/tex]
14)
Solve the equation for x.
6(4x - 10) = 84
A)
2
B)
3
4.
6
Answers
Answer:
ig D)))))))...
Step-by-step explanation:
......
6*4x = 24x
6*(-10) = -60
24x - 60 = 84
Add 60 to both sides
24x = 144
Divide both sides by 24
x = 6
If nominal GDP is 2400 and the money supply is 400, what is the velocity?
Answers
Answer:
The velocity of money is 6.
Step-by-step explanation:
Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.
Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.
i.e V = [tex]\frac{P * Y}{M}[/tex]
where: V is the velocity of money, P x Y is the nominal GDP i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.
Given that, nominal GDP = 2400 and money supply = 400, then;
V = [tex]\frac{2400}{400}[/tex]
= 6
Therefore the velocity of money is 6.
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
Answers
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
Learn more about simple & compound interest here:
https://brainly.com/question/16666364
#SPJ5
Answer:
D.
$2,071.20
Step-by-step explanation:
The perpendicular bisector of chord AB is y=-2x+8, and the perpendicular bisector of chord BC is y= 3x-2. Recall the properties of chords. How can these equations be used to find the center of the circle that represents the whole plate
Answers
Answer:
We equate the two expressions since they both pass through the center of the circle.
The coordinate of the center of the circle is (2,4)
Step-by-step explanation:
From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.
Since both equations would pass through the center of the circle, we equate them.
So, -2x+8 = 3x-2
Solving for x, we have
3x + 2x = 8 + 2
5x = 10
x = 10/5
x = 2
Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.
y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4
So, the coordinate of the center of the circle is (2,4)
Personal Answer:
The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.
Plato Sample Answer:
Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.
I hope this helps!
I need help with this question please
Write an equation and solve. One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?
Answers
Answer:
200 minutes
Step-by-step explanation:
16.95 + 0.05 x = 22.95 + 0.02 x
0.05 x - 0.02 x = 22.95 - 16.95
0.03 x = 6.00
x = 6.00 / 0.03 = 600 / 3 = 200
Answer:
200 minutes
Step-by-step explanation:
First you need to make two equations for the rates of each telephone company
The first equation will be y = 0.05x +16.95 and the second equation will be
y = 0.02x + 22.95
Then you need to set the two equations equal to each other in order to find where the number of minutes of local calls per month is the same
Find the sum: 4√3+11√12
15√15
15√3
26√3
48√3
Answers
Answer:
26√3
Step-by-step explanation:
4√3+11√12
We know that sqrt(ab) = sqrt(a) sqrt(b)
4√3+11[tex]\sqrt{4} \sqrt{3}[/tex]
4√3+11*[tex]2 \sqrt{3}[/tex]
4√3+22 [tex]\sqrt{3}[/tex]
Combine like terms
26√3
Answer:
[tex]26\sqrt{3}[/tex]
Step-by-step explanation:
Simplify them:
[tex]11\sqrt{12} = 22\sqrt{3}[/tex]
[tex]22\sqrt{3}+4\sqrt{3}=26\sqrt{3}[/tex]
Amy and Brenda are selling tickets to a spring musical. Amy sold 2 less than three times as many tickets as Brenda sold. if b represents the number of tickets Brenda sold, which of the following expressions represents total number of tickets that Amy and Brenda sold to the spring musical.
A. 3b-2
B. 4b-2
C. 3b-6
D.4b-6
Answers
Answer:
The answer is B. 4b-2
Step-by-step explanation:
Amy sold 3b-2 and Brenda sold b
If we add them together, their sum would be
3b-2+b= 4b-2
Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did
they win in total?
Answers
Answer:
£40
Step-by-step explanation:
£30 represents 3 parts of the ratio that Fiona got.
Divide £30 by 3 to find the value of one part of the ratio
£30 ÷ 3 = £10 ← value of 1 part of the ratio
They won £30 + £10 = £40
PLZ HELP!! :)
You estimate that a lamb weighs 10 pounds. The actual weight of the lamb is 13 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.
Answers
Answer:
30%
Step-by-step explanation:
Seems as if that lamb was thiccccca than what you thought
A normal distribution curve, where x=70 and o=15, was created by a teacher using her students' grades. What information about their preformances can be obtained by analyzing the curve?
Answers
Answer:
- The mean, median and modal students' grades are all grade 70.
- The degree of spread of the grades about the mean grade is in grade value of the standard deviation, 15.
- Half of the class score grade 70 and beyond and half of the class also score grade 70 and below.
- 68% of the class score between grade 55 and 85.
- 95% of the class score between grade 40 and 100.
Step-by-step explanation:
If the normal distribution curve of the students' grades has a xbar = 70, and a σ = 15, it translates that the mean, median and the modal student grade is 70 because a normal distribution is that symmetric about the center of the distribution and the spread of the grades away from grade 70 is in grade scores of 15, the standard deviation.
It also directly mean that half of the distribution exist at grade 70 and above and the other half exists at grade 70 and below.
The empirical rule also explains further that 68% of the distribution exists between one standard deviation of the mean, that is;
68% of the distribution exists between (70±15) = (55, 85)
95% of the distribution exists between two standard deviations of the mean.
[70±(2×15)] = (40, 100)
Hope this Helps!!!
Answer:
Sample Response: By analyzing the curve, you can tell that the average, or mean, grade is 70. This is also the median of the grades, so we know that one half of the scores are less than or equal to 70, and the other half of the scores are greater than or equal to 70. The bulk of the scores are between 55 and 85.
Step-by-step explanation:
What did you include in your response? Check all that apply.
The mean and median of the scores is 70.
Most of the scores are between 55 and 85.
Half of the scores are less than or equal to 70, while the other half are greater than or equal to 70.
