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
using tje logarithm find the square of 86.46
46 percent of 340 miles
Answer:
27
Step-by-step explanation:
HELP PLSSSSSS I NEED TO GET THIS DONE
Answer:
1). a = 10, b = 6
2). a = 5, b = 3, c = 8
Step-by-step explanation:
Given expression is,
1). [tex]\frac{7^{6}\times 7^8}{7^4}[/tex] = [tex]\frac{7^a}{7^4}=7^4[/tex]
= [tex]\frac{7^{2+8}}{7^4}[/tex] [Since [tex]x^{m}\times x^n=x^{(m+n)}[/tex]]
= [tex]\frac{7^{10}}{7^4}[/tex]
= [tex]7^{{10-4}}[/tex]
= [tex]7^{6}[/tex]
Therefore, a = 10 and b = 6
2). [tex]\frac{2^5}{4}=\frac{2^5}{2^a}=2^b=c[/tex]
= [tex]\frac{2^5}{2^2}[/tex]
= [tex]2^{{5-2}}[/tex]
= [tex]2^{3}[/tex]
= 8
Therefore, a = 5, b = 3 and c = 8
HELP
According to the Rational Root Theorem, Negative 2/5 is a potential rational root of which function?
f(x) = 4x4 – 7x2 + x + 25
f(x) = 9x4 – 7x2 + x + 10
f(x) = 10x4 – 7x2 + x + 9
f(x) = 25x4 – 7x2 + x + 4
Answer: Answer is f(x) = 25x4 - 7x2 + x + 4
Step-by-step explanation:
Answer:
d on edg
Step-by-step explanation:
The ratio x:y is 3:1
Which of the following statements is correct?
1)x is 3/4 of y
2) y is 1/3 of x
3) x is 1/3 of y
4) y is 1/4 of x
y is ⅓ of x
step by step explanation.ratio of x to y is 3:1
x=¾
y=¼
¼÷¾=⅓
that means y is ⅓ of x
to confirm the answer.when you take¾×⅓=¼.
Answer:
Its B
Step-by-step explanation:
Please help me and Thank you
4y+3x =25 is the tangent to the circle x^2+ y^2 = 25 at the point P(3,4). The equation of the radius of the circle that passes through P is
PLEASE SHOW SOLUTION!
Answer:
4x - 3y = 0
Step-by-step explanation:
The angle between the radius and the tangent at P is right
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y + 3x = 25 into this form
Subtract 3x from both sides
4y = - 3x + 25 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus
y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute P(3, 4) into the partial equation
4 = 4 + c ⇒ c = 4 - 4 = 0
y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form
Multiply through by 3
3y = 4x ( subtract 3y from both sides )
4x - 3y = 0 ← equation of radius in standard form
If the domain of f(x)=2x+1 is {-2
Step-by-step explanation:
-4 (A)
because the minimum value of f(x) is f(-2)= -3
the range is between {-3,7}
Answer:
A. -4
Step-by-step explanation:
Please help me with my question!!
Answer:
B
Step-by-step explanation:
If two lines are parallel, then their slopes are equal.
Line 1: y = 2x + 6
slope = 2
Line 2:
(1 , 5) ; (3,9)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-5}{3-1}\\\\=\frac{4}{2}\\\\=2[/tex]
Slope of line 1 = slope of line 2 = 2
So, line 1 and line 2 are parallel
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!!!!
Answer:
(up) by 6
left by 7
Step-by-step explanation:
can someone show me how pls, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
could the segments 9 9 1 form a triangle ?
Answer:
Yes.
Step-by-step explanation:
Yes . This would be an isosceles triangle (2 angles being 9 units long.
Which of the following is false?
A a child's age and the height of a child is a positive correlation
B none, since all of the other answer choices are true
C the number of hours a person studies and the numerical score on the
exam is a positive correlation
09
D the speed of a vehicle and the time it takes the vehicle to travel 60
miles is a positive correlation
09
09
Answer:
A
Step-by-step explanation:
A because the height and age are sometimes not proportional or ideal. Some kids don't develop due to health problems for example, which make them look smaller than normal. Other people might a conditions, which makes them grow to tall.
when f(x)=-3, what is x
Answer:
0
Step-by-step explanation:
Basically the function has no "x" value so it is 0. X could be anything but in the function "x" is not even present so probably 0
Answer:
The answer would be 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Step-by-step explanation:
Not sure but I think it is!
Pls help emergency will Mark bigbrain
Answer:
C.
Step-by-step explanation:
Volume of a Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where volume of sphere = 81 π cm³
So, the equation becomes
81 π = [tex]\frac{4}{3} \pi r^3[/tex]
Answer:
the correct answer is the third row.
Step-by-step explanation
Indicar a qué propiedad pertenece cada uno de los siguientes casos: -7,5 + 3/2 = -6 3√2 + 2√2 = 5√2 (1/2) + (3 + √8)
A and B are two similar solids.
15 cm
10 cm
The volume of A is 400 cm.
十
工
Work out the volume of B.
Similarity - Area and Volume
View One Minute Version
Overview
Answer:
600cm3 the 3 is ment to be cubed
Step-by-step explanation:
Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other?
Answer:
Answer:
Ryan and Andy live 11.4 blocks from each other.
Step-by-step explanation:Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin.Position of Ryan on coordinate system: 2 blocks west (2 unit left from origin) = -2 5 blocks south (5 unit down) = -5Coordinate of Ryan: (-2,-5)Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. Position of Andy on coordinate system: 7 blocks east (7 unit right ) = 7 2 block north (2 unit up) = 2Coordinate of Andy: (7,2)We need to find the distance of Ryan and Andy.
Answer:
C.) 11.4
Step-by-step explanation:
Just took the test on Edge 2020
identify the x- intercepts for
y = (x+3)^2+2
Answer:
No solutions
Step-by-step explanation:
This function would place the parabola above the x axis, so there are no x intercepts
Answer:
D
Step-by-step explanation:
There are no x-intercepts, so this has no solutions.
Hope this helps!
The function has a y-intercept of (0, 4) and a multiplier of 0.8. 1) Whats the initial value? 2) Is it exponential growth or decay? 3) What is the exponential equation?
Answer:
1) 4
2) exponential decay
3) [tex]y = 4(0.8)^x[/tex]
Step-by-step explanation:
1) The initial value or an exponential function is the y-intercept.
Let us consider a standard exponential function of the form y(x) = a•bˣ , if you put in x = 0 (initial value) we get:
y(0) = a•bˣ = a•b⁰ = a•1 = a , so the y-intercept is a , which is called the initial value.
Therefore the y intercept is 4
2) Since the multiplier is greater than 0 and less than one, it is an exponential decay
3) standard exponential function of the form y(x) = a•bˣ, at (0,4),
4 = a(b)⁰
a = 4
b = multiplier = 0.8
Therefore: [tex]y = 4(0.8)^x[/tex]
In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left
Answer:
Perimeter = 98 cm
Area = 596 [tex]cm^{2}[/tex]
Step-by-step explanation:
Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.
Perimeter of a figure = Sum of all its sides + Perimeter of circle
Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.
The sides of this resultant figure = 30 - 14 = 16 cm
and 25 - 14 = 11 cm
So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle
[tex]\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm[/tex]
To find area of this figure = Area of rectangle - Area of circle
Area of rectangle = Length [tex]\times[/tex] Width
[tex]\Rightarrow 30 \times 25 = 750\ cm^{2}[/tex]
Area of circle = [tex]\pi r^{2}[/tex]
[tex]\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}[/tex]
So, area of figure = 750 - 154 = 596 [tex]cm^{2}[/tex]
HELP ASAP PLEASE!!! Explain how you will benefit most from improving your math skills.
Answer:
Some of the most lucrative jobs are all about math. Most engineering fields are all about sharp math skills, whether it’s civil and mechanical or software engineering. Working in finance also obviously involves a lot of math, and what better way to make money than working in the field that’s all about money? You can also become a statistician or actuary; it’s not easy to find good statisticians, despite the need for them. If you want to earn good money, then you do need good math skills.Then again, you could use math in life anyway.
Step-by-step explanation:
Horses are measured in units called hands one inch equals 1/4 hands the average Clydesdale is 17 1/5 hands tall what is this height in inches in feet
Answer:
68.8 Inches, 5.73 Ft.
Step-by-step explanation:
To find out how many inches tall the horse is, divide 17 1/5 by 1/4. You will get 68.8 inches. To convert that to feet, divide it by 12. that would be 5.7333... Ft, so you will probably need to round it to just 5.73.
I really need help with this problem can someone pls help me! I really need help plz help me solved this problem need help ASAP!
Answer:
64
Step-by-step explanation:
4^2-4*3*-4
=16-(-48)
=64
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!!
Answer:
Y=x^2+8
Step-by-step explanation:
Which graph shows a system with no solutions?
Answer:
A Graph b
Step-by-step explanation:
Since the two lines are parellel, they will never intersect and there will be no solutions
Math question plz try your best
Answer:
[tex]\frac{13}{4}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} +\bigg(\frac{1}{3}\div\frac{1}{6}\bigg)-\bigg(-\frac{1}{2}\bigg)\\=\frac{3}{4} + \bigg(\frac{1}{3}\times\frac{6}{1}\bigg)+\frac{1}{2}\\=\frac{3}{4} +2 + \frac{1}{2}\\=\frac{3}{4} +\frac{8}{4} + \frac{2}{4}\\=\frac{3+8+2}{4} \\=\frac{13}{4} \\= 3.25[/tex]
What are the sums? Complete the equations.
-10 + 50
Answer:
40
Step-by-step explanation:
-10+50
40
What is the value of x?
Answer:
x = 98
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = 53+45
x = 98
Answer:
x°=98°
Step-by-step explanation:
Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.
x°=98°
Are you an expert? then answer this.
Answer:
a) n = 3
b) every 9 cm represents 175,000 km
Step-by-step explanation:
a) 20 min : 1 hour
Let's convert it into same units
⇒20 min : 60 min
÷ 20 ÷ 20
⇒ 1 : 3
So n = 3
b) 1 : 25,000
Which means every 1 cm on the map represents 25,000 km
And,
1 cm = 25,000 km
So,
9 cm = 25,000 × 9
9 cm = 175,000 km
So every 9 cm represents 175,000 km
Answer:
a) 3
b) 2.25 km
Step-by-step explanation:
a) 20 min : 1 hour = 1 : n
20 min : 60 min= 1 :3
n=3
b) 1: 25000 scale
1 mm : 25000 mm
9 cm = 90 mm
90 mm : 90*25000 mm
9 cm : 2250000 mm
9 cm : 2.25 km