Answer:
The number of sweets in the 10th bag is 53
Step-by-step explanation:
Given
Let the Number of sweets in a bag be represented by x and frequency be represented by f
The table is as follows
x F
39 1
40 2
41 5
42 0
43 1
Mean = 42
Required
How many sweets are in the 10th bag?
Represent the number of sweets in the 10th bag by y;
The table becomes
x F
39 1
40 2
41 5
42 0
43 1
y 1
The mean of observation is calculated using the following formula;
Mean = ∑fx/∑f
Where ∑ means summation
fx means f * x; i.e. product of frequency and number of sweets
f represents frequency;
Calculating ∑fx
∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1
∑fx = 39 + 80+ 205 + 0 + 43 + y
∑fx = 367 + y
Calcuating ∑f
∑f = 1 + 2 + 5 + 0 + 1 + 1
∑f = 10
Recall that
Mean = ∑fx/∑f and Mean = 42;
So, Mean = ∑fx/∑f becomes
[tex]42 = \frac{367 + y}{10}[/tex]
Multiply both sides by 10
[tex]42 * 10 = \frac{367 + y}{10} * 10[/tex]
[tex]420 = 367 + y[/tex]
Subtract 367 from both sides
[tex]420 - 367= 367 -367 + y[/tex]
[tex]53 = y[/tex]
[tex]y = 53[/tex]
Hence, the number of sweets in the 10th bag is 53
The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.
Given :
The total number of bags is 10.The mean number of sweets in the bags is 42.The table shows how many sweets there are in 9 of the bags.The following steps can be used in order to determine the total number of sweets in the 10th bag:
Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.
Step 2 - The formula of mean is given below:
[tex]{\rm Mean}= \dfrac{\sum f \times x}{\sum f}[/tex]
Step 3 - Now, substitute the values of the known terms from the given table in the above expression.
[tex]{\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}[/tex]
Step 4 - Simplify the above expression.
[tex]\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}[/tex]
So, the total number of sweets in the 10th bag is 53.
For more information, refer to the link given below:
https://brainly.com/question/521501
Misty correctly determined the equation of the linear function represented by the table of values below to be in slope-intercept form by using the ordered pairs (1, 7) and (2, 5). x y 1 7 2 5 3 3 4 1 What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?
Answer:
y=-2x+9
Step-by-step explanation:
help me please !!!!!!
Answer:
256 ft^250 ft^225 ft^2281 ft^2Step-by-step explanation:
Prism Area
The total surface area of a rectangular prism is given by ...
SA = 2(LW +H(L +W))
For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...
SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))
= 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1
__
Pyramid Lateral Area
The lateral area of the pyramid is 4 times the area of one triangular face:
LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2
__
Pyramid Base Area
The area of the square base of the pyramid is the square of the length of one edge:
B = (5 ft)^2 = 25 ft^2 . . . blank 3
__
Total Exposed Area
The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.
total exposed area = (exposed prism area) + (pyramid lateral area)
= (prism area) - (pyramid base area) + (pyramid lateral area)
= 256 ft^2 - 25 ft^2 + 50 ft^2
total exposed area = 281 ft^2 . . . blank 4
I need to know the answer for the picture
Answer:
a = 2
Step-by-step explanation:
We can use cross products to solve
8 a
----- = -------
28 7
8*7 = 28*a
Divide each side by 28
56/28 = 28a/28
2 =a
Answer:
2
Step-by-step explanation:
Given:
8 a
------- = ------ Find the value of a that makes this equation true.
28 7
Cross multiplying, we get 28a = 56, and so a works out to 2.
Check: Does 8/28 = 2/7? Yes.
Find the midpoint between the two points of the line in the image below.
Answer:
the answer is ( 2 , 1 ) I hope thus helps
Answer:
(2,1)
Step-by-step explanation:
Average the x values and the y values out
Please help me
What is the sum of the series?
Enter your answer in the box.
Answer:
the sum of the series is 365 is my answer
The quotient of a number and -5 has a result of 2. What is the number?
n =
Plz help
Answer:
n / -5 = 2
n = - 10
According to the table, which statement is correct about the bank balances?
A) Samuel has less debt than Harley.
B) Harley has more debt than Benton.
C) Benton has more debt than Winston.
D) Winston has more debt than Benton.
Will mark brainiest!
Answer: The answer is D
Step-by-step explanation:
If you read all the answers only D is true
Answer:
Its C. Trust me
Step-by-step explanation:
I picked D. and it was wrong and told me it was C. DO NOT PICK D. IT IS C.
Can someone help meee!
Answer:
X intercept = 4
Y intercept = -4
Step-by-step explanation:
X-intercept is when the graph crosses the X-axis or where the y is 0 for a X value. Here the (4,0) is where Y is 0 for a given x value and you see the graph crosses it on X-axis thus X intercept is 4.
Y-intercept is when the graph crosses the Y-axis or where the x is 0 for a Y value. Here the (0,-4) is where X is 0 for a given Y value and you see the graph crosses it on Y-axis thus Y intercept is -4.
A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2:3. The ratio of blueberry to cinnamon muffins sold was 4:1. If 60 blueberry muffins were sold on Monday, how many more cranberry muffins than cinnamon muffins did the bakery sell?
Answer:
total cinnamon sold = 15
total cranberry sold = 40
so, according to the question
cranberry - cinnamon muffin
40-15
25
Hence, 25 cranberry muffins were sold more than cinnamon muffins.
The bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.
What is an expression?An expression is a mathematical phrase that can contain variables, constants, and mathematical operations, but does not have an equals sign. Expressions are used to represent mathematical relationships and to evaluate numerical values.
Let's start by using the given ratios to determine the number of cranberry and cinnamon muffins sold on Monday.
We know that the ratio of cranberry to blueberry muffins sold was 2:3, which means that for every 2 cranberry muffins sold, 3 blueberry muffins were sold. We also know that the ratio of blueberry to cinnamon muffins sold was 4:1, which means that for every 4 blueberry muffins sold, 1 cinnamon muffin was sold.
Since we know that 60 blueberry muffins were sold on Monday, we can use the ratio of cranberry to blueberry muffins sold to find the number of cranberry muffins sold:
2/3 = x/60
Where x is the number of cranberry muffins sold.
Multiplying both sides of the equation by 60, we get:
2/3 * 60 = x
Simplifying, we get:
x = 40
So, 40 cranberry muffins were sold on Monday.
Now, using the ratio of blueberry to cinnamon muffins sold, we can find the number of cinnamon muffins sold:
4/1 = 60/y
Where y is the number of cinnamon muffins sold.
Multiplying both sides of the equation by y, we get:
4y = 60
Dividing both sides of the equation by 4, we get:
y = 15
So, 15 cinnamon muffins were sold on Monday.
Finally, to answer the question, we need to find the difference between the number of cranberry muffins sold and the number of cinnamon muffins sold:
40 - 15 = 25
Therefore, the bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.
To know more about an expression follow
https://brainly.com/question/16790323
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16+12x-5x+4y-7 Simply the expression
Answer:
Combing like terms we get 7x + 4y + 9.
Help. Summer school math please.
Answer:
y = 3x
where y is the plant height in cm and x is the time in months
at 12 months, height would be 36 cm
Step-by-step explanation:
Here, we want to model the data
let’s call the months x and the height y
What do you notice?
we can clearly see that the height is always 3 times the month
3 * 3 = 9
5 * 3 = 15
7 * 3 = 21
9 * 3 = 27
so we can say that;
Time in months * 3 = Plant height in cm
using the x and y notation;
x * 3 = y
or simply y = 3x
Now the height at 12 months can be calculated by substituting the value of x for 12
y = 3 * 12 = 36 cm
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
1 A
2 A
Step-by-step explanation:
1. steps can be positive whole numbers only
2. there is 15 steps
A^5 divided a^3 simplified
Answer:
[tex] {a}^{2} [/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \frac{ {a}^{5} }{ {a}^{3} } \\ = {a}^{5 - 3} \\ = {a}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Hey!!
The answer is a^2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
PLEASE HELP ME WITH THIS FAST FOR BRAINLIEST!
Answer:
Correct answer = 20 miles
Step-by-step explanation:
The mistake she made was that she made was that she multiplied the amount with 3 instead of dividing it.
The incorrect way -
$60 = 3 × 60 = 90 (Her multiplication is also incorrect as 3 × 60 = 180)
Corrected method -
$60 = [tex]\frac{60}{3}[/tex] = 20 miles
Hope you understood. Please mark my answer as the brainliest.What is the lcm of 150 and 180
Answer:
900
Step-by-step explanation:
multiply 2x2x3x3x5x5
4x9x25 which is 900
The solution set for -p2 − 11p = 0 is { }. (Separate the solutions with a comma.)
Answer:
0,-11
Step-by-step explanation:
-p^2 − 11p = 0
Factor out -p
-p( p+11) =0
Using the zero product property
-p =0 p+11 =0
p =0 p = -11
lola rode her bike for 7/10 of an hour on Saturday, and 3/5 of an hour on Sunday.
How much longer did she ride her bike on Saturday and Sunday?
Answer:
She rode 1/10 of an hour more on Saturday
Step-by-step explanation:
Take the time she rode on Sunday and subtract that from Saturday
7/10 - 3/5
Get a common denominator
7/10 - 3/5*2/2
7/10 - 6/10
1/10
She rode 1/10 of an hour more on Saturday
Two number cubes are rolled .what is the probability that the sum of the numbers on the cubes is 12 ?? The Answer is fraction
A.12/36
B.1/36
C.1/12
D.35/36
Answer:
The answer would be B.(1/36)
match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5
Answer:
21/25 ---> 84%
13/20 ---> 65%
3/5 ---> 60%
3/4 --->75%
2/5 ---> 40%
simplify the equation
Answer:
3a^4
Step-by-step explanation:
Answer:
3 a^4
Step-by-step explanation:
4a * 6a^5 / 8a^2
Multiply the terms in the numerator
We know that we add the exponents when like terms with exponents are multiplied
24 a ^(1+5) = 24a^6
24a^6 / 8 a^2
Divide the whole numbers and subtract the exponents since we are dividing like terms with exponents
3 a^(6-2)
3 a^4
The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories,c, in 9 cups of yogurt
Answer:
5 9
----- = ------
750 x
Step-by-step explanation:
Answer:
750 / 5 = c / 9
Step-by-step explanation:
Solve the inequality.
2(4+2x)>5x+5
O x5-2
O X2-2
x33
O X23
Step-by-step explanation:
8 + 4x > 5x + 5
8 - 5 > 5x - 4x
3 > x
The solution to the system of equation is x < 3
Inequality expressionGiven the inequality expression 2(4+2x)>5x+5
Expand the inequality
2(4+2x)>5x+5
8 + 4x > 5x + 5
Collect the like terms
4x - 5x > 5 -8
-x > -3
x < 3
Hence the solution to the system of equation is x < 3
Learn more on inequality here: https://brainly.com/question/24372553
For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?
Answer:
Timmy ate 13/24 of the pizza.
Step-by-step explanation:
To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.
Can someone please help me. I need help on the 5 one
Answer:
The second option
Step-by-step explanation:
On the right hand side you have all the multiples of 4, on the left hand side you have 5
The multiples of four are ...,-8,-4,0,4,8,....
so the simbol that means that 5 is not an element of the multiples of four is the second option.
Factorise 7a^3b^2 - 14a^2b^3
Answer:
[tex]7a^2b^2\left(a-2b\right)[/tex]
Step-by-step explanation:
[tex]7a^3b^2 - 14a^2b^3[/tex]
[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]
[tex]=7a^2b^2\left(a-2b\right)[/tex]
PLZZ HELP!!!!!!
Solve the equation, justify each step with an algebraic property: -2 = x + 28 *
x = -26, Subtraction Property of Equality
x = -30, Addition Property of Equality
x = -14, Division Property of Equality
x = -30, Subtraction Property of Equality
Answer:
The answer is [tex]x = - 30[/tex], by using the Subtraction Property of Equality.
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]-2 = x + 28[/tex]
Turn the equation over:
[tex]x + 28 = -2[/tex]
-Subtract both sides by [tex]28[/tex] by using Subtraction Property of Equality:
[tex]x + 28 - 28 = -2 - 28[/tex]
[tex]x = -30[/tex]
So, the final answer is [tex]x = -30[/tex] .
A circle , with centre O , radius 6cm has chords AB and CD which intersects at x . Find OX , if AX = 3cm and XB = 2cm
Answer:
OX = 5.4772 cm
Step-by-step explanation:
Please check image attached for the drawing of the circle with the chords and points.
From the theorem of intersecting chords, we have:
AE * EB = EF * EG
With AE = AX - EX, EB = BX + EX, EF = 6 - EO and EG = 6 + EO, we have:
(AX - EX) * (BX + EX) = (6 - EO) * (6 + EO)
(3 - EX) * (2 + EX) = 36 - EO^2
6 + EX - EX^2 = 36 - EO^2
EO^2 - EX^2 + EX = 30 (eq1)
From the triangle AEO, we have:
AE^2 + EO^2 = OA^2
(AX - EX)^2 + EO^2 = 6^2
(3 - EX)^2 + EO^2 = 36
9 - 6*EX + EX^2 + EO^2 = 36
EX^2 - 6*EX + EO^2 = 27 (eq2)
If we do (eq1) - (eq2), we have:
-2*EX^2 + 7*EX = 3
2*EX^2 - 7*EX + 3 = 0
Solving this quadratic equation, we have EX = 3 cm or EX = 0.5 cm
EX cannot be 3 cm, because AE would be 0 cm, so EX = 0.5 cm
Calculating EO, we have:
EO^2 - 0.5^2 + 0.5 = 30
EO^2 = 29.75
EO = 5.4544 cm
Now, using Pythagoras in the triangle EOX, we have:
EO^2 + EX^2 = OX^2
29.75 + 0.25 = OX^2
OX^2 = 30
OX = 5.4772 cm
What decrease the probability of something happening?
Answer:
When you add more to your sample space.
Imagine you have a 6-sided dice and you change it to a 10-sided dice. Your possibilities of getting any number (excluding 7, 8, 9, 10), just went from 16.67% to 10%.
What is one value that makes the fraction (x^2 + 11x +30)/(4x + 44x^2 + 120x) Undefined?
Answer:
-31/11
Step-by-step explanation:
To get the value they makes the fraction undefined, we shall need to equate the denominator to zero
Hence;
4x + 44x^2 + 120x
Divide through be x
4 + 44x + 120 = 0
44x = -124
x = -124/44
x = -62/22
x = -31/11
Select the correct answer from each drop-down menu.
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
Use the given expression to complete the statements below.
The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of.
The choices are for 1 are sum, quotient, square, product. Choices for 2 is quotient, sum, product, difference. Choices for 3 are compounding periods, months, years.
Complete Question:
sierrac3000
06/28/2019
Select the correct answer from each drop-down menu.
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
250(1+0.018/2)^2t
Use the given expression to complete the statements below.
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
1st Blank:
Product
Sum
Quotient
Square
2nd Blank:
Quotient
Product
Difference
Sum
3rd Blank:
Compounding Periods
Years
Months
Answer:
1st blank = product
2nd blank = sum
3rd blank = years
Step-by-step explanation:
The expression given above is :
250(1+0.018/2)^2t
The expression can thus be explained as:
The *product* of the amount initially deposited and the *sum* of one and the rate of increase raised to the number of *years*
