A biased dice was rolled and the scores recorded in the table below
Score. Frequency
1. 17
2. 24
3. 23
4. 10
5. 16
6. 30
A) estimate the probability that on the next roll the score will be 4
Given:
The table of score and frequency.
To find:
The probability that on the next roll the score will be 4.
Solution:
From the given table it is clear that the score 4 occurs 10 times.
Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30
= 120
The probability that on the next roll the score will be 4 is
\(\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}\)
\(\text{Required probability}=\dfrac{10}{120}\)
\(\text{Required probability}=\dfrac{1}{12}\)
Therefore, the required probability is \(\dfrac{1}{12}\).
the expression x^4-9
a. (x^2-3) (x^2-3)
b. (x^+3) (x^+3)
c. (x^2+3) (x^2-3)
d. (x^+1) (x^2-9)
Answer: C
Step-by-step explanation:
By the difference of squares, \(x^{4}-9=(x^{2}+3)(x^{2}-3)\)
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri will need [Blank] glass tiles. The dimentions are...26 , 15, 8.
The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.
What is the Surface Area of a Box?The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.
What is the Surface Area of a Box?SA = 2(lw + lh + hw), where:
l = lengthw = widthh = height of the boxThe image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:
The surface area to be covered = surface area of the box - area of the bottom rectangular face
The surface area to be covered = 2(lw + lh + hw) - (l)(w)
l = 26
w = 15
h = 8
Substitute
The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =
The surface area to be covered = 1436 - 390 = 1,046 cm
Area of one tile = 1 cm square
Number of tiles needed = 1,046/1
Number of tiles needed = 1,046 tiles.
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Darryl and his dad baked 4 apple pies for the family reunion. They cut each pie into
eighths. How many pieces of apple pie did they bring to the reunion?
Answer:
32 pieces
Step-by-step explanation:
basically its 8 x 4
8x4=32
you get 8 because it says they are cut into eighths and the 4 because of four pies
Which value is a solution to the inequality x < 4?
A. 3
B. 6
C. 5
D. 4.5
Find the values of x and y
Answer:
Corresponding angles are equal
therefore y = 134°
Angles on a straight line add up to 180°
x = 180° - y
x = 180° - 134°
x = 46°
and please I need brainliest
18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B
Step-by-step explanation:
tan0=opp/adj
where opposite =3,adjacent =x,=70
tan 70=3/x
2.7474=3/x
2.7474x=3
divide both sides by 2.7474
x=3/2.7474
x=1.0919
x=1.10 to 1 d.p
HELP ME OUT PLS!!!!
Simply.
The given equation is y2 - 3y - 5 - (-y2 - 7y + 4) and its simplification and multiplication is 2y2 + 4y - 9.
What does the math simplification rule entail?The terms in the brackets can be immediately simplified. Therefore, we can carry out the operations indicated by the brackets in the following order: multiplication, addition, subtraction, division. Note: The brackets should be shortened in the following order: (),, []. Simplify: 14 + (8 - 2 3) for Example 2.
y^2 - 3y - 5 - (-y^2 - 7y + 4) = y^2 - 3y - 5 + y^2 + 7y - 4 =
2y^2 + 4y - 9
6xy^3z * 3x^2yx^2 = 18x^5y^4z
-3x^3(-2x^2 + 4x - 3) = 6x^5 - 12x^4 + 9x^3
36p^2 + 24p + 4.....coefficient is 24
(x - 5)(x^2 - 2x - 6) = x(x^2 - 2x - 6) - 5(x^2 - 2x - 6) =
x^3 - 2x^2 - 6x - 5x^2 + 10x + 30 =
x^3 - 7x^2 + 4x + 30.
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work out the area of the circle
take pi to be 3.142 give your answer to 1 decimal place
radius 8
The area of the circle with the given radius is 201.088 square units.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the radius of a circle is 8 units.
Here, area of a circle
= 3.142×8²
= 3.142×64
= 201.088 square units
Therefore, the area of the circle is 201.088 square units.
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable variable x as the number of defective cameras in the sample. What is the probability distribution for x?
The probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
How can we determine the probability distribution for x?Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:
C(8,2) = 8!/(2!×(8-2)!) = 28
So there are 28 possible ways to choose a sample of 2 cameras.
Now, let's calculate the probability of each possible value of x:
When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 0 is:
P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:
C(4,1) × C(4,1) = 4×4 = 16
So the probability of x = 1 is:
P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)
= 16/28
= 0.571
When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 2 is:
P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
Therefore, the probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
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Drag and drop the answers into the boxes to correctly convert between decimals, fractions, and percents.
Answer:
?
Step-by-step explanation:
There is no photo...
If f(x)=3-2x and g(x)=1/x+5, what is the value of (f/g)(8)?
Answer:
The answer is -9
Step-by-step explanation:
First we have to find the value for g(8) so that we can plug its solution into f(x).
So...
\(\frac{1}{8}\)(8) + 5
1 + 5
6
So now we plug in 6 into f(x) since 6 was our solution to g(x)
3 - 2(6)
3 - 12
-9
Andy is making corn grits recipe that calls for 1/8 cup of water for every 1/3 cup of corn grits
PLEASE HELP
Question:
Andy is making corn grits recipe that calls for 1/8 cup of water for every 1/3 cup of corn grits. How much water will he need if he uses 1 1/3 cups or corn grits?
Answer:
(4/3) / (1/8) = 10 2/3
find product of 3/8 × 4
Answer:
1 and 1/2 or 1.5
Step-by-step explanation:
3/8 × 4/1 = 3/2 = 1 and 1/2
Result in decimals: 1.5
Calculation steps:
3/8 × 4/1 = (3 × 4)/(8 × 1) = 12/8
12 ÷ 4 = 3
8 ÷ 4 = 2
= 3/2 = 1 and 1/2
If an employee contributes $150 toward her retirement each month,
and her employer agrees to match 15% of that, then what is the
total monthly retirement contribution?
Two points should be noted: The 15% is first calculated using your annual gross wage rather than your take-home pay. Second, the business match is not included in your 15%.
Should I contribute more than 15% to retirement?You probably won't need to save more than 15-20 percent as you get older if you can save 15-20 percent of your salary when you're 30 for retirement. If you stay consistent throughout your professional life, starting early is a tremendous advantage.Your actual monthly contribution will increase when your salary increases if you consistently set aside 15% of your income, which will speed up the accumulation of your retirement savings.If you are under 72 years old and have income from a job or self-employment, you are eligible to make a contribution to your Individual Retirement Account (IRA) of up to $6,000. Up to $7,000 can be contributed if you are 50 years old or older.To learn more about business refer to:
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please help me with this asap
Answer:
Upper left 10, upper right 2, lower left 3, lower right 3.
Step-by-step explanation:
they give us the upper left and lower right in the first two bullet points. Then “in total, 12 girls can sing”. 12 - the 10 who can sing and dance = 2 for upper right.
They also say there are 18 girls total. 18 - 10 - 3 = 3 for the lower left
How can you find the area of the entire surface of a prism
Step-by-step explanation:
but try cutting it into a and b
Substitute a = 4, b = 1 and c = 5 into the expressions:
a + b - c
Answer:
a+b-c
4+1-5
5-5=0
THE ANSWER IS 0
If every 2 cm on a scale drawing is equal to 7 feet in real life, which lines on the drawing would be greater than 21 feet in real life? Select all that apply. A) 7 cm B) 5 cm C) 9 cm D) 12 cm
The correct answers are A) 7cm, C) 9cm and D) 12cm
Define the Conversion of units?The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.
If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.
Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:
⇒ \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)
where y is the length of the line in real life. Solving for y, we get:
⇒ \(y = \frac{7 feet} {2cm} *x\)
⇒ \(y = 3.5 x feet\)
If we put x = 2cm (given) then, y = 7 feet
For y = 21 feet, the value of x = 6cm.
Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.
So, the lines on the drawing that are greater than 21 feet in real life are:
A) 7cm, C) 9cm, D) 12cm
Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm
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It takes 0.5 gallon of cream to make 1 pound of butter. How much cream would you need to make 2.5 pounds of butter?
I really don’t get this problem then it’s for a math class and I really don’t know what to do can somebody please help me
Answer:
Should be A
Step-by-step explanation:
The x cord increase by 5 for all points.
Y cord decrease by 3 for all points
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
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refer to the image please
You are running a fuel economy study. One of the cars you find is blue. It can travel 28 2/5 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 22 2/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
Blue car: 30.5 / 1.25 =24.4 miles per gallon
Red car: 25.6/0.80 =32 miles per gallon
You can easily see that the Red car travel farther on 1 gallon of gasoline.
Imagine that you are representing your classmates. What are their needs? What would you advocate for their behalf? Not math related
Answer:
As a former runner upper Senior Class Secretary I can say that your classmates need the following:
1. To be respected, even when others may not respect them.
2. They need a leader who can listen to what they have to say and DO SOMETHING about it.
3. They need the feeling of commitment when given the oppurtunity to improve.
4. They need rules, guidlines and restrictions.
(I would advocate that we have a strong leader....Is it going to be you?)
find all real numbers k for which there exists a nonzero 2 dimensional vector bold v such that begin bmatrix 2
If a ring costs a jeweler $2100, at what price should it be sold to yield a profit of 50% on the selling price?
matilda was curious if sample interquartile range (iqr) was an unbiased estimator of population iqr. she placed ping pong balls numbered from 0 00 to 32 3232 in a drum and mixed them well. note that the iqr of the population is 16 1616. she then took a random sample of 5 55 balls and calculated the iqr of the sample. she replaced the balls and repeated this process for a total of 50 5050 trials. her results are summarized in the dotplot below, where each dot represents the sample iqr from a sample of 5 55 balls.
The sample IQR is a biased estimator of the population IQR. The sample IQR appears to be centered below 16.
A sample that does not accurately reflect the true value of a population parameter is considered to be biased. Even though a biased sample may still be useful if its bias is known, an unbiased sample is one that exactly matches the true value of the population parameter.
Matilda wanted to determine if the sample interquartile range (IQR) was an unbiased estimator of the population IQR. She performed an experiment by placing ping pong balls numbered from 0 to 32 in a drum and thoroughly mixing them. The IQR of the population was determined to be 16.
She then randomly selected 5 balls, calculated their sample IQR, and repeated this process 50 times. The results were summarized in a dot plot, where each dot represented the sample IQR from a sample of 5 balls.
The sample IQR appeared to be biased as it consistently underestimated the population IQR. The dot plot showed that the sample IQR was centered below 16.
Therefore, it can be concluded that the sample IQR is a biased estimator of the population IQR.
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Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR
Step-by-step explanation:
whats x
25 points for awnser
Answer: 61 degrees
Step-by-step explanation:
A triangle has an internal angle sum of 180. So subtract 67 and 52, and you get x which is 61 degrees.