Answer:
1/ 6
Step-by-step explanation:
Therefore, the required probability is 1/6.
Answer:
1/6
Step-by-step explanation:
Think of drawing 1 student at a time without replacement.
First drawing:
p(boy) = 6/10
Second drawing:
p(boy) = 5/9
Third drawing:
p(boy) = 4/8
p(3 boys) = 6/10 * 5/9 * 4/8 = 3/5 * 5/9 * 1/2 = 3/18 = 1/6
Answer: 1/6
The _____ gives the location on the X axis and the _______ gives the locaton on the Y axis
Answer:des
Step-by-step explanation:
What number is in the hundreds place in 500?
Answer:
The 5!
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
because it is the 3rd number from the ones place
Westin is comparing the triangles below.
Triangle F G H. Side G H is 4 centimeters, angle G is 117 degrees, and angle H is 27 degrees. Triangle J L K. Side J L is 8 centimeters, angle J is 27 degrees, and angle L is 117 degrees.
He uses the similarity statement Triangle H G F is similar to triangle L J K. Which best describes the accuracy of Westin’s statement?
Accurate. HG and LJ are proportional.
Inaccurate. HG and LJ are not corresponding sides.
Inaccurate. The sides are not proportional. There is no common ratio between the sides.
Inaccurate. The angles in the order listed do not correspond.
Answer:
It is Inaccurate: The angles in the order listed do not correspond. I just took the test
Answer:
Inaccurate. The angles in the order listed do not correspond.
Step-by-step explanation:
I am doing the test rn and I think this is the right answer
Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are inches long, inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is inches long, 18 inches wide, and 24 inches tall. Large Box 2 is inches long, inches wide, and 24 inches tall. Both the small and large boxes must remain upright.
Answer:
- The number of small boxes that will fill the large box 1 = 64
- The number of small boxes that will fill the large box 2 = 56
Step-by-step explanation:
Complete Question
Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.
Solution
To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.
Volume of a cuboid = L × W × H
For the small box,
Length = L = 4.5 inches
Width = W = 4.5 inches
Height = H = 8 inches
Volume of the small box = 4.5 × 4.5 × 8 = 162 in³
For large box 1,
Length = L = 24.25 inches
Width = W = 18 inches
Height = H = 24 inches
Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³
For large box 2
Length = L = 20.5 inches
Width = W = 18.5 inches
Height = H = 24 inches
Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³
The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.
The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.
Hope this Helps!!!
If Two-thirds = StartFraction x over 12 EndFraction, what is the value of x? 4 8 18 24
Answer:
8
Step-by-step explanation:
[tex] \frac{2}{3} = \frac{x}{12} \\ x = \frac{2 \times 12}{3} \\ x = 2 \times 4 \\ x = 8[/tex]
Answer:
B) 8
Step-by-step explanation:
2\3= X/123X=2424÷3=8The answer is 8Expand the expression and combine like terms. Show your work.
1.6x−12(3.8x+0.04)
Answer:
-44x - 0.48
Step-by-step explanation:
[tex]1.6x-12(3.8x+0.04)\\=1.6x-12\times 3.8x -12\times 0.04\\=1.6x-45.6x -0.48\\=-44x - 0.48[/tex]
Mrs. Bogaczyk got bored and decided to go on an Amazon spending spree! She bought 3 pairs of flip flops for $14.95 each, a sundress for $21.50 and two tanks tops...One that was $9.99 and one that was $15.44. The tax came to $7.34 but shipping was free. How much did Mrs. B. Spend altogether? If the budget for spending was $100, how much money does Mrs. B. Have left?
Step-by-step explanation:
3 pairs of flip flops = 14.95 x 3 = 44.85
Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78
After adding tax = 91.78 + 7.34 = 99.12
Mrs B spent 99.12 altogether
Budget = 100
Then money left = 100 - 99.12 = 0.88
Here is a diagram of a person standing next to a lorry.
The diagram shows two centimetre rulers.
The person and the lorry are drawn to the same scale.
The lorry is approximately 9.5 m in length.
Using the scale diagram, estimate the height of the person in metres.
Answer:
The person is a about 2m
The height of the person is 0.475m.
What is the scale factor?The scale factor is the ratio of the size image in scale and original size of the image.
Scale factor= new size/ original size
Here given that the length of the lorry is 9.5 m= 9.5*100 cm= 950 cm
But in scale, the length of the lorry is 10cm
scale factor =new size/ original size= 10/950= 1/95
Similarly for the person height of the person on the scale is given = 2cm
As from above it is clear that
scale factor= 1/95
new size/ original size= 1/95
2/ original size= 1/95
original size= 95/2
original size= 47.5 cm
original size= 47.5/100 m= 0.475 m
Therefore the height of the person is 0.475m.
Learn more about scale factor
here: https://brainly.com/question/25722260
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The number of candies in the bag was less than 90. It is possible to divide all the candies evenly among 3, 4, or 7 children. How many candies were in the bag?
Answer:
84
Step-by-step explanation:
The least common multiple of 3, 4, and 7 is 3·4·7 = 84.
There were 84 candies in the bag.
PLEASE HURRY !!!!!
Step- by- step
Solve the equation for x:
4x - 4 = 6x + 8
Solve the equation for x:
1/3x + 4 = 10
Correct answers only please! I keep losing points...
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
A bag contains 4 blue marbles, 6 green marbles, 3 yellow marbles. b) What's the probability of drawing a yellow marble?
Answer:
3/13
Step-by-step explanation:
There are 13 marbles in the bag, 3 of them are yellow, so the probability of yellow marbles being drawn is 3/13
In the following diagram, HI is parallel to JK. What is the measure of x?
Answer:
60
Step-by-step explanation:
find the missing angle in triangle HAI =60.
VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60
Angle x is alternating with the angle.
Answer:
[tex]x = 60 \: \: degrees[/tex]
Step-by-step explanation:
Lets take LAH angle as 'y'[tex]61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees[/tex]
[tex]y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\ [/tex]
[tex]x = 60 \: \: degrees[/tex]
Find the length of DE
Answer:20
Step-by-step explanation:
Donnie deli man delivered 595 box lunches for the robotics convention. There were 20 more turkey sandwiches then roast beef. There were twice as many roast beef has PB&J. How many of each type of BoxLunch did Donnie delivered?
Answer:
250 turkey sandwiches were delivered.
There were 230 roast beef delivered.
115 PB&J were delivered.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of turkey sandwiches.
y is the number of roast beef.
z is the number of PB&J.
Donnie delivered 595 box lunches
This means that [tex]x + y + z = 595[/tex]
There were 20 more turkey sandwiches then roast beef.
This means that [tex]x = y + 20[/tex]
There were twice as many roast beef has PB&J.
This means that [tex]y = 2z[/tex].
So in the second equation, we have that [tex]x = 2z + 20[/tex]
Replacing this in the first equation:
[tex]x + y + z = 595[/tex]
[tex]2z + 20 + 2z + z = 595[/tex]
[tex]5z = 575[/tex]
[tex]z = \frac{575}{5}[/tex]
[tex]z = 115[/tex]
115 PB&J were delivered.
[tex]x = 2z + 20 = 2*115 + 20 = 250[/tex]
250 turkey sandwiches were delivered.
[tex]x = y + 20[/tex]
So
[tex]y = x - 20 = 250 - 20 = 230[/tex]
There were 230 roast beef delivered.
What type of function is represented in the table?
x 0 1 2 3 4 5
y -7 -2 3 8 13 18
a.quadratic
b.exponential
c.logarithmic
d.linear
The type of function represented in the table is linear.
How to find the type of function represented in a table ?Let's check the type of function represented in the table.
You can tell if a table is linear by looking at how x and y change. If, as x increases by 1, y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.
It can also be found by using the linear equation,
y = mx + b
where
m = slopeb = y-interceptTherefore,
The x increases by y and the y increase by a constant rate of 5.
-2 - (-7) = 53 - (-2) = 58 - 3 = 5Therefore, the function represented in the table is linear.
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Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent.
the answer would be 27% :3
Answer:
27%
Step-by-step explanation:
There are 30 fruits, all apples and peaches, in a basket. Take out any three of them and at least one will be an apple. How many peaches might there be in the basket?
Answer:
There are a maximum of 2 peaches in the basket.
Step-by-step explanation:
There are 30 fruits in a basket, all apples and peaches.
If 3 fruits are taken out of the basket, it is said that at least one of the 3 fruits would be an apple.
For this to be possible, it means, picking 3 fruits, at random from the basket guarantees at least 1 of them being an apple.
This means that the maximum number of peaches obtainable from the basket is 2, to guarantee a sure case of the last fruit of 3 selected fruits being an Apple. There has to be a minimum of 28 apples in the basket for this statement to be absolutely non-contestable.
Hope this Helps!!!
Answer:
max=2 peaches
Step-by-step explanation:
When Violet was born she weighed 54 pounds. At 5 months old she weighed 16.3 pounds.
How much weight did she gain between birth and 5 months old?
Answer:
37.7 pounds
Step-by-step explanation:
Simply subtract 54 (starting weight) by 16.3 (weight at 5 months) = the amount of weight she lost.
54 - 16.3 = 37.7Find the value of u. If the volume is 560
Answer:
10 ft
Step-by-step explanation:
V = l*w*h
560 = 7*8 *u
560 = 56u
divide each side by 56
560/56 = 56u/56
10 =u
Find the mean for each data set. Number of Flowers . . . . . . <-----I-----I-----I-----I-----I-----I-----I-----I-----I-----> 10 11 12 13 14 15 16 17 18
Answer:
Well to find the mean of the above
take £ as sigma
therefore,
mean= £fx/£f
This simply means the sum of all the numbers divided by the number of members
therefore,
10 + 11+12+13+14+15+16+17+18= 126
And the number of figure present on the number line are 9, therefore 126 divided by 9
giving you a result of 14
Therefore the mean of the above numbers is 14.
Find the mean, median and mode of these numbers
11,10,8,10,1
12,10,16,28,15,29,26,16,1
13,11,12,8,10,6
9,12,5,9,14,5,7,8,9,2
Thank you for helping!
Answer:
11, 10, 8, 10, 1
mean - 8
median - 10
mode - 10
12, 10, 16, 28, 15, 29, 26, 16, 1
mean - 17
median- 16
mode - 16
13, 11, 12, 8, 10, 6
mean - 10
median - 10
mode - no mode
9, 12, 5, 9, 14, 5, 7, 8, 9, 2
mean- 8
median- 8.5
mode - 9
mean - add up all numbers then divide that answer by how many numbers there are
median - put all the numbers in order and find the middle number
mode- most frequent number
can someone help me please I'm doing this for math Olympics
A contractor is asked to build a new set of townhouses in attached clusters of
different sizes. He created plans for one-, two-, and three-house clusters, as shown in the diagram below. The builder used computer software to draw the line segments used to represent the houses. How many line segments are needed to draw 4 houses? 10 houses? 47 houses? n houses? Explain your strategy.
median and range
math question
A car traveled 360 miles in 4 hours. If its speed were to be 15 mph slower, how long would it take to travel the same distance?
Answer: 4.8 hours.
Step-by-step explanation:
To find how long it would take to travel the same distance at a slower speed, find the speed the car is currently driving at.
Speed is distance over time, or in this case, miles per hour.
360 / 4 = 90 miles per hour.
The car is travelling 15 miles per hour slower, so the new speed is 90 - 15, or 75 miles per hour.
You can now use the same equation to find the time travelled:
360 / x = 75
360 = 75x
Divide both sides by 75 to get your answer:
4.8 = x
It would take the car 4.8 hours to travel the same distance.
what do u have to do???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
Step 1: Answer the question
They are independent because the cards are always going to stay the same. If each card that was picked and discarded, that would alter the future which would make it dependent. But... since it doesn't change the cards, it is independent.
Answer: independent
Answer:
Independent
Step-by-step explanation:
Since the second selection is made after replacement, the options are exactly the same as the first selection. Therefore the second selection doesn't depend on the first one. Hence, they are independent
If it was without replacement, they would have been dependent
PLEASE HELP ME!
Tina and Tammy both get paid an equal hourly wage of $12 per hour. This week, Tina made an additional $46 in overtime. Select the expressions below that represent the weekly wages of both if x the number of hours
Tina worked this week and y= the number of hours Tammy worked this week
Answer:
Expressions B, D and E
Step-by-step explanation:
Here, we are to select which of the options is correct.
Let’s put in mind that they bought earn $12 per hour
x represents the number of hours Tina worked this week; the total amount of money she made would thus be x * 12 = $12x
Remembering that she made $46 overtime, the total amount of money she made that we would be $12x + 46
The total amount Tammy made, earning $12 per hour and working for y hours = $12 * y = $12y
The total amount of money both made is thus;
12x + 46 + 12y
= $(12x + 12y + 46)
Now, we have similar expressions in the question;
These are; expression B, expression D and expression E
While expression B is straightforward, the others are not
expression D is gotten by factoring out 12; 12x + 12y + 46 = 12(x + y) + 46
expression E just involved putting what each of the two earned in brackets
Please check 1, 2, 4, and 5 for me and please help me with question 3.
Thank you!
Answer:
n = 7
Step-by-step explanation:
Your answers are correct.
For problem 3, we use error estimation:
| (-2)ⁿ⁺¹ / (n+1)! | < 0.01
(2)ⁿ⁺¹ / (n+1)! < 0.01
By trial and error:
If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667
If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089
If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006
100 Points, EASY MATH QUESTION.
Topic: Fractions
Three siblings decided to share the yard work (chores) that their parents assigned. If siblings A and B do 8/12 of the work, what fraction of the work is left for sibling C?
1/2
1/3
1/4
1/5
Answer:
1/3
Step-by-step explanation:
1/3 because 8/12 + 1/3 is 1 whole
Answer:
1/3
Step-by-step explanation:
The whole chore is 1, or 12/12
Subtracting the fraction of work done by A and B
12/12- 8/12 = 4/12
Which simplifies
4/12 = 1/3
Factor completely 5x2 - 20.
Answer:
[tex]5(x-2)(x+2)[/tex]
Step-by-step explanation:
Factor out 5:
[tex]5(x^2-4)[/tex]
Use difference of squares formula for the inside:
[tex]5(x-2)(x+2)[/tex]