The probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.
What is probability?The surveys are chosen with replacement (the first one is replaced before the second is chosen), and the events are independent.
This means that the probability of both together is the product of each event's probability.
The probability of choosing a survey that indicates 4 children in the family is 8/60 since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.
The probability of choosing a survey that indicates 1 child is 9/60 since there are 9 surveys with 1 child out of a total of 60.
Together this gives us;
[tex]= \dfrac{8}{60} \times \dfrac{9}{60}\\\\ =\dfrac{ 72}{360} \\\\ =\dfrac{1}{5}[/tex]
Hence, the probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.
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Answer:
1/50
Step-by-step explanation:
Ed and Fay shared £330 in the ratio 7 : 4
Ed gives Fay some of his money.
Fay now has the same amount as Ed.
How much does Ed give Fay?
Ed must give Fay a total of £45 for both to have the same amount of money.
How to solve ratioTotal = £330
Ed = 7Fay = 4Total ratio = 7 + 4= 11
Ed share = 7/11 × 330
= £210
Fay share = 4/11 × 330
= £120
For Ed and Fay to have the same amount of money, their share must be exactly half of £330.
That is, they must each have £330/2
= £165
Fay:
£165 - £120 = £45
Therefore, Ed must give Fay a total of £45 for both to have the same amount of money.
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Ms.Mendoza's monthly income was increased by 15%. If her salary last month was 10,000,how much is her salary now
Answer:
11500
Step-by-step explanation:
15÷100 = 0.15
0.15 × 10000 = 1500
10000 + 1500 = 11500
find exact value to approximate value to 4 decimal places
In(5x+1)=2
Answer:
Answer is 1/5 which is exactly 0.2
Step-by-step explanation:
5x + 1 = 2
5x = 2 - 1
5x = 1
x = 1/5
x = 0.2
find the profit if C.P=620 and S.p=760
Answer: hope I helped look down
Step-by-step explanation:
Gain = (713 – 620)= 93 Rs. So, the gain percent is 15%
What is the following product?
(~/14 - 3)(/12 +7)
O 2N/42+7N/2-6-/21
O 14-6+N7
• 26 + /21 -/15-/10
2,/42 - 21
Option A
a. yes, reflection across y=x
b. no
c. yes, rotation 180
d. yes, translation up 3 units
Answer:
A
filler filler filler
23 = y* 5 -2 what is y?
Answer:
5
Step-by-step explanation:
[tex]23 = y \times 5 - 2 \\ 25 = y \times 5 \\ 5 = y[/tex]
From their location in the diagram, what are two possible values for n and m?
A diagram with concentric circles. The outer circle is labeled rational numbers, with an m. The middle circle is labeled integers. The smallest is labeled whole numbers, with an n.
m=3.3, n=−14
m=−2, n=−62
m=6, n=−43
m=−38, n=12
Concentric circle simply means the circle that has a common center or axis.
What is a concentric circle?Your information is incomplete. Therefore, an overview of concentric circles will be given. The region between two concentric circles is known as the annulus.
An example of concentric circle is the ripple that is made when a pebble is dropped inside water. The formula for a concentric circle is given as:
(x - h)² + (y - k)² = r².
In conclusion, when two circles have same center, they're called concentric circles.
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help fast!! (no links please.)
Answer:
C) 3
Step-by-step explanation:
Plug in the values on c and d and solve
((3)^2 + (2)^2) - 2((3)^2 - (2)^2)
Solve inside the parenthesis first
(9+4) - 2(9-4) = (13) - 2(5)
Distribute the 2 and solve
13 - 10 = 3
Mr. nelson has 20 students in her classroom. She noticed 3/10 of her students have blue eyes and 1/2 of the students have brown eyes. The rest of the student has green eyes. What percent of the student in mr. Nelsons class have green eyes?
20 students. divide by half for borwn eyes. 10 left. subtract 3 because 3/10. That leaves 7. If you do 20 times 5, you get 100. 7 times 5 equals 45.
The answer is 45%
How many possible 10-digit phone numbers are possible (7 digits plus the
area code)? Type your answer into the box.
Using the Fundamental Counting Theorem, it is found that 3,250,000,000 phone numbers are possible.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the first 3 digits, which correspond to the area code, there are 325 options in total, that is, [tex]n_1n_2n_3 = 325[/tex].For the final 7 digits, each of them has 10 options.Hence:
[tex]T = 325 \times 10^7 = 3,250,000,000[/tex]
3,250,000,000 phone numbers are possible.
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Find the zeros of the function p(x) = -9x^2 + 1
Answer:
Zeros: 1/3 and -1/3
Step-by-step explanation:
You can solve this for the zeros by using the factoring method:
p(x) = (-3x-1)(3x-1)
Then, you take each factored equation and set it equal to zero:
-3x-1=0
3x-1=0
Then, solve for zero:
-3x=1 x=-1/3
3x=1 x=1/3
Your zeros are 1/3 and -1/3.
Rob's first four test scores are 80, 85, 100, and 85. What does he have to score on the last test in order to have a test average of 90?
options:
90
100
10
95
Answer:
100
Step-by-step explanation:
How to change 1.2/6 into a decimal?
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
1.2 is the same as:12 ÷ 10= [tex]\frac{12}{10}[/tex]dividing by 6 is the same as[tex]\frac{1}{6}[/tex]1.2 ÷ 6= [tex]\frac{12}{10}[/tex] × [tex]\frac{1}{6}[/tex]we can times the tops and bottoms together= [tex]\frac{12}{60}[/tex]We can simplify thisFor example, the top and bottom are both even numbers= [tex]\frac{6}{30}[/tex]We can simplify again by dividing by 2= [tex]\frac{3}{15}[/tex]We can simplify again by dividing by 3= [tex]\frac{1}{5}[/tex]What is the simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3)? a. 5x2 − 25x 3 b. -5x2 − 25x 3 c. -5x2 x 3 d. -5x2 − 25x − 3
The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.
What is the simplified form of an expression?The simplified form of an expression is the simplest way of expressing it, which is obtained by applying the required operations of mathematics.
The expression given as,
[tex]2x(x - 6) - 7x^2 - (13x - 3)[/tex]
Open the brackets to solve it further,
[tex]2x(x - 6) - 7x^2 - (13x - 3)\\2x^2-12x-7x^2-13x-3\\2x^2-7x^2-12x-13x-3\\-5x^2-25x-3[/tex]
The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.
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Rewrite (see picture) in standard form. Find the center and radius of the circle. Show all of your work for full credit.
Answer:
[tex](x - 2)^{2} + (y + \frac{5}{2} )^{2} = \frac{37}{4}[/tex]
Step-by-step explanation:
The standard form of the equation: (x-2)²+ (y + 5/2)² = 37/4 , center: (2, -5/2) and radius: (√37) / 4.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
We have given the equation,
2x²+2y²-8x + 10y+2 = 0
Divide by 2,
x²+y²-4x + 5y+1 = 0
Arranging the terms to make a complete square of variable x and y.
x²+y²-4x + (2/2)5y+1+ 4 + 25/4 = 4 + 25/4
(x-2)²+ (y + 5/2)² = 37/4
This is the form of a circle.
Use this form to determine the center and radius of the circle.
(x−h)²+(y−k)²=r²
Match the values in this circle to those of the standard form.
The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from the origin.
r=(√37) / 4, h=2, k= -5/2
The center of the circle is found at (h,k).
Center: (2, -5/2)
Therefore, center: (2, -5/2), radius: (√37) / 4
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Find the surface area of the cylinder
Answer:
Surface area of the cylinder is 377 cm² (approximately)Step-by-step explanation:
Given :-
Radius of the cylinder = 6cmHeight of the cylinder = 4 cmTo find :-
Surface areaSolution :-
We know that,
Surface area of cylinder = 2πr(h + r)Substituting the required values,
➝ Surface area= 2 × 22/7 × 6 (6 + 4)
➝ Surface area = 264/7 (10)
➝ Surface area = 2640/7
➝ Surface area ≈ 377 cm²
Hence,
Surface area of the cylinder is 377 cm² (approximately)After refering the diagram given in attachment, we clearly came to knew that the radius of the cylinder is 6 cm and height of that cylinder is 4 cm.
Radius (r) = 6 cm Height (h) = 4 cmAs we know that total surface area of cylinder is calculated by the formula :
T.S.A. = 2πr (h + r)Where,
r is radius h is height Value of π is 22/7★ Putting the values in the formula :
>> T.S.A. = 2πr (h + r)
>> T.S.A. = 2 × (22/7) × 6 (6 + 4)
>> T.S.A. = 2 × (22/7) × 6 (10)
>> T.S.A. = 2 × (22/7) × 6 × 10
>> T.S.A. = 2 × (22/7) × 60
>> T.S.A. = (44 / 7) × 60
>> T.S.A. = 44 × 60 / 7
>> T.S.A. = 2640 / 7
>> T.S.A. = 377
★ Therefore,
Surface area is 377cm²Your car averages 31 mph on the highway, but the actual mileage varies from average by at most 5 mph. What is your range of mileage?
Answer:
26-36
Step-by-step explanation:
If I'm not mistaken, the range of milage should be 26-36 mph, because we know that the maximum you will deviate from your avergae is 5 in either direction. So, you can subtract 5 from 31 (26) and add 5 to 31 (36) to get the range.
Hope this helps! :)
Four students provide the following approximations for startroot 0.89 endroot. anyah states that startroot 0.89 endroot is between 0.44 and 0.45 because 0.44 less-than startfraction 0.89 over 2 endfraction less-than 0.45. matthew states that startroot 0.89 endroot is between 0 and 1 because 0 less-than 0.89 less-than 1. rhoda states that startroot 0.89 endroot is between 0.9 and 1.0 because 0.9 squared less-than 0.89 less-than 1.0 squared. ming states that startroot 0.89 endroot is between 0.93 and 0.95 because (0.93) squared less-than 0.89 less-than (0.95) squared. which solution(s) are correct? anyah's only ming's only anyah’s, matthew’s, and rhoda’s matthew’s, rhoda’s, and ming’s
Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
1. Anyah states that the square root of 0.89 is between 0.44 and 0.45 because 0.44<0.89/2<0.45. This statement of anyah is false because the√0.89 = 0.9433.
2. Matthew states that the square root of 0.89 is between 0 and 1 because 0< 0.89<1. the value lies between 0 and 1 So this statement is true.
3. Rhoda states that the square root of 0.89 is between 0.9 and 1.0 because of 0.9^2 <0.89<1.0. This statement is true because the square of 0.9 is 0.81 and 1.0 is 1, and 0.89 lies in between them. So the statement is true.
4. Ming states that the square root of 0.89 is between 0.93 and 0.95 because of 0.93^2 <0.89<0.95^2. this statement is also true.
Here Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.
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Answer:
D
Step-by-step explanation:
Sims has 2 packets of seeds, packet A and packet B. There are 12 seeds in packet A and 7of these are sunflower seeds. There are 15 seeds in packet B and 8 of these are sunflower seeds. Alia is going to take a random seed from packet A and a seed from packet B (a) complete the probability tree diagram.
Answer:
your answer is in the attachment
Step-by-step explanation:
QUICKK HELPPP!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Both Equations do not have the same y- intercept and slope, so they can not have infinitely same solutions.
During the movie norma ate 3 handfuls of snack mix and brennan ate 1 3/8 handfuls how much more did norma eat?
1.625 more handfuls
Explanation:To start, we know that Norma ate 3 handfuls
n (Norma) = 3
Next, we learn that Brennan ate 1 and 3/8 handfuls. 3/8 converted into decimal form is 0.375, so Brennan ate 1.375 handfuls
b (Brennan) = 1.375
To figure out the difference between the two, you do Brennan's 1.375 and subtract it from Norma's 3.
An equation for this (if it helps) would be
n - b = x
To solve, substitute the values to find x
In conclusion, Norma ate 1.625 more handfuls than Brennan
♡ Ok now have a great day, you are doing amazing! I'm so proud of you! ♡Can anyone solve this correctly?
Answer:
A.[tex]200.96 \: {ft}^{2}[/tex]
Step-by-step explanation:
Corral is circular in shape.
Radius of the corral would be be the distance from the post to the edge of the corral.
-> r = 8 ft
[tex]A(grass\: eaten) = \pi {r}^{2} \\ \\ = 3.14 {(8)}^{2} \\ \\ = 200.96 \: {ft}^{2} [/tex]
What is the least common multiple of 8, 25, and 40?
Answer:200
Step-by-step explanation:
Please Help! There are 5 ss please answer all!!
Answer:
1st: Is the first answer. Circle P.
2nd: the central angle is , Angle BPC
3rd: The minor arc is BC
4th: MAjor arc is BAC
5th: Semicircle is ABC
The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equation to find the value of x.
Length of rectangle is 40 inches
Width of rectangle is 22 inches
Border inside rectangle is x
The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0.
How to derive an expression for the area of an unshaded region of a rectangle
The area of a rectangle (A), in square inches, is equal to the product of its width (w), in inches, and its height (h), in inches. According to the figure, we have two proportional rectangles and we need to derive an expression that describes the value of the unshaded area.
If we know that A = 648 in², w = 22 - x and h = 40 - x, then the expression is derived below:
A = w · h
(22 - x) · (40 - x) = 648
40 · (22 - x) - x · (22 - x) = 648
880 - 40 · x - 22 · x + x² = 648
x² - 62 · x + 232 = 0
The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0. [tex]\blacksquare[/tex]
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Sally dug a hole 5 feet deep to plant roses. She
dug a second hole 8 feet deep for tulips.
Represent the depths as integers.
Which plant is closer to the surface?
Step-by-step explanation:
here will take the earth's surface as 0.
hence,
the first hole that Sally dug is 5 feet below the surface making its integer -5
the second hole Sally dug was 8 feet below the surface making its integer -8
therefore, the roses are closest to the surface.
Which number is equivalent to
0.0020635?
A 2.635 x 102
C 2.0635 x 102
B 2.635 x 10-3
D 2.0635 x 103
Answer:
2.635 x 10-3
Step-by-step explanation:
Since 0.0020635 has 3 zeros on the left of 2 then the power on 10 needs to be 3. AND since the zeros are in the left of 2 not right of 2, the power needs to be negative. So, 10^-3
This is a lot of work into this!
The maximum revenue of the craftsman is an illustration of objective function
The craftsman can at most make $500, if he makes 100 bracelets
How to determine the maximum revenue?Represent bracelet with b and necklace with n.
From the question, we have:
b n Total
Unit 10 20 1000
Time 10 40 1600
Cost 5 7.5
So, we have the objective function to be:
Max C = 5b + 7.5n
And the constraints are:
10b + 20n ≤ 1000
10b + 40n ≤ 1600
b ≥ 0
n ≥ 0
From the given graph of the constraints, we have the following feasible points
(b,n) = (0,0) (40,30) (0,50) and (100,0)
Substitute these values in the objective function
C(0,0) = 5(0) + 7.5(0) = 0
C(40,30) = 5(40) + 7.5(30) = 425
C(0,50) = 5(0) + 7.5(50) = 375
C(100,0) = 5(100) + 7.5(0) = 500
The maximum revenue is at the point (100,0)
Hence, the craftsman can at most make $500, if he makes 100 bracelets
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If f(x) = 8 – 10x and g(x) = 5x 4, what is the value of (fg)(–2)? –196 –168 22 78
After solving the values f(x) = 8 – 10x and g(x) = 5x 4, the value of (fg)(–2) will be -168.
What is Function?function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and dependent variable.
f f(x) = 8 - 10x and g(x) = 5x + 4, what is the value of (f9)(-2)?
Replace x in each equation with -2:
f(x) = 8 -10(-2) = 8 +20 = 28
g(x) = 5(-2) + 4 = -10 + 4 = -6
Now multiply the two"
28 * -6 = -168
The answer is -168
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