An envelope contains an assortment of photos of the same size. The photos are of children, of pets, or of adults. Billy randomly took a photo from
the envelope, recorded what type of picture it was, and then replaced the photo in the envelope. He did this a total of 10 times. The table shows the
outcomes.
Children Pets Adults
5 3 2
Based on these results, what is the probability the next photo taken from the envelope will be a photo of pets?
Answers
Answer:
0.3
Step-by-step explanation:
From the question given above, the following data were obtained:
Children (C) = 5
Pet (P) = 3
Adult (T) = 2
Probability of obtaining a photo of pet, P(P) =?
Next, we shall determine the total outcome i.e the sample space (S).
This is illustrated below:
Sample space (S) = nC + nP + nA
Sample space (S) = 5 + 3 + 2
Sample space (S) = 10
Finally, we shall determine the probability of a photo of pet.
This can be obtained as follow:
Event of obtaining Pet, nP = 3
Sample space (S) = 10
Probability of obtaining a phone of pet, P(P) =?
P(P) = nP/nS
P(P) = 3/10
P(P) = 0.3
Therefore, the probability of obtaining a photo of pet is 0.3
Related Questions
Evaluate the expression if a equals two and be equal six
Answers
Answer:
guess
Step-by-step explanation:
i ain't going to cap but idk
1 and 2/3 plus 3 and 3/4
2 and 1/5 plus 3 and 7/8
4 and 1/2 plus 2 5/7
3/4 plus 2/3 plus 1/5
anyone?
URGENT
75 points!!
Answers
Answer:
Step-by-step explanation:
1 2/3 + 3 3/4 = 1 8/12 + 3 9/12 = 4 17/12 = 5 5/12
4 1/2 + 2 5/7 = 4 7/14 + 2 10/14 = 6 17/14 = 7 3/14
3/4 + 2/3 + 1/5 = 45/60 + 40/60 + 12/60 = 97/60 = 1 37/60
Answer:
Step-by-step explanation:
boom = 1 37/60
The park wanted to put up a new 500 foot fence around the rectangular playground. The length of the fence is going to be 100 foot. what will be the with of the fence?
Answers
Answer:
150 feet
Step-by-step explanation:
A rectangle has 2 pairs of equal sides.
One of the sides is 100 feet, meaning another side is 100 feet.
If we subtract 200 feet we are left with 300, which are the last two sides.
Divide 300 by 2 to get each side length.
150 feet
Round 7/12 to the nearest hundredth
Answers
Answer:
7.00
Step-by-step explanation:
so you have to round to the narest 0.01 the easy way to do it is round to the hundreth place. And you will get your answer which is 7.00
in abc the measure of side c is 3.9cm if def has a dilation of abc with a scale factor of 2.5
Answers
Complete Question:
In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f
Answer:
f = 9.75
Step-by-step Explanation:
From the information given, a sketch of ∆ABC and ∆DEF with their corresponding sides and angles have been attached below.
∆DEF is a dilation of ∆ABC, which is said to be on a scale factor of 2.5.
The scale factor is a whole number, this implies that ∆DEF is an enlargement of ∆ABC.
Since side c = 3.9 cm, in ∆ABC corresponds to side f, in ∆DEF, therefore, the measure of f would be:
f = measure of c × scale factor
f = 3.9 cm × 2.5
f = 9.75
Use a definite integral to find the area of the region between the given curve and the x-axis on the interval [0, b].y= 2x^2.
Answers
Given :
Given a curve , [tex]y=2x^2[/tex] .
To Find :
The area of the region between the given curve and the x-axis on the interval [0, b] .
Solution :
Now , area under the curve is given by :
[tex]A=\int\limits^b_0 {2x^2} \, dx \\\\A= |_0^b(\dfrac{2}{3}x^{(2+1)})\\\\A=\dfrac{2b^3}{3}[/tex]
( Integration of [tex]x^2[/tex] is [tex]\dfrac{x^3}{3}[/tex] )
Therefore , the region between the given curve and the x-axis on the interval [0, b] is [tex]\dfrac{2b^3}{3}[/tex] .
Hence , this is the required solution .
No sé cómo hacerlo. Y me gustaría que me ayudaran con él proceso?
Answers
Answer:
BC=11
Step-by-step explanation:
we need to find BC
and we know that
AB= x+2
AC=13
BC=2x+11
A, B and C are collinear
that means that
AB+BC=AC
x+2+2x+11=13
3x+13=13
3x=0
x=0
so BC=2(0)+11
BC=11
A square has a side length of 7 feet. Find the area of the square in square feet. Enter only the number.
Answers
Answer:
49
Step-by-step explanation:
area if a square: side length x side length (s^2)
7 x 7 = 49
Area of Square is 49 square feet
Area of SquareGiven that;
Side length of square = 7 feet
Find:
Area of Square
Computation:
Area of Square = Side²
Area of Square = 7²
Area of Square = 49 square feet
Find out more information about 'Area of Square'
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At a sporting goods store, Franklin tennis racquets normally sell for $110, but this week
they're selling for less than their normal price, How much has the price on each
d'acquet been lowered?
Answers
Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π. Need this ASAP
Answers
Answer:
22 square feet
Step-by-step explanation:
Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.
Area of circle = 3.14 × r × r
r = 10 ÷ 2
= 5
Area of circle = 3.14 × 5 × 5
= 78.5
Area of square = length × length
Area of square = 10 × 10
= 100
Area of shaded region = Square - Circle
= 100 - 78.5
= 21.5
= 22 (to the nearest square foot)
I hope this helps :)
a company has $25,000 in cash. next month the company anticipates sales revenue of $10,000, equiptment expense of $2,500, insurance costs of $100, and $200 in licensing fees. what is the projected cash flow at the end of the month?
Answers
Answer:o
Step-by-step explanation:
A solid sphere is cut into 10 equal wedges. The volume of each wedge is Solve the formula for r. 15 O Ar= V2 O B. r = 151 O c. r= 15V (27) O D. r= 15V - 27
Answers
Answer:
A. r = ∛ 15V / 2π
Step-by-step explanation:
Volume of a sphere = 4/3 π r³
And to be divided into 10 equal wedges parts.
Volume of each wedge = V = 2/15 π r³
find r
V = 2 π r³ / 15
15 V = 2 π r³
15V / 2π = r³
r = ∛ 15V / 2π
The correct option will be option A i.e., r = [tex]\sqrt[3]{\frac{15}{2\pi } }[/tex]
It is given that a solid sphere is cut into 10 equal wedges , with each wedge having volume V = [tex]\frac{2}{15} \pi r^{3}[/tex]
We have to solve it to get the value of radius r.
What is the formula for volume of sphere ?
The volume of sphere is given by V = [tex]\frac{4}{3} \pi r^{3}[/tex] where , r is the radius of the sphere.
As per the question ;
Volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
To be divided into 10 equal wedges ;
Volume of each wedge of sphere will be ;
V = [tex]\frac{2}{15} \pi r^{3}[/tex]
15 V = 2[tex]\pi r^{3}[/tex]
or
r³ = [tex]\frac{15V}{2\pi }[/tex]
or
r = [tex]\sqrt[3]{\frac{15}{2\pi } }[/tex]
Thus , the correct option will be option A i.e., r = [tex]\sqrt[3]{\frac{15}{2\pi } }[/tex]
To learn more about volume of sphere click here ;
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Find the unit vector in the direction of (4,-4). Write your answer in component form. Do not approximate any numbers in your answer.
Answers
Answer:
[tex](\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )[/tex]
Step-by-step explanation:
The unit vector for a nonzero vector, say u, in the direction of u is given by:
û = [tex]\frac{u}{|u|}[/tex] ---------------(i)
Where;
|u| = magnitude of vector u
From the question;
u = (4, -4)
First let's calculate the magnitude of u as follows;
|u| = [tex]\sqrt{(4)^2 + (-4)^2}[/tex]
|u| = [tex]\sqrt{16 + 16}[/tex]
|u| = [tex]\sqrt{32}[/tex] = [tex]4\sqrt{2}[/tex]
Now, substitute u and |u| into equation (i) as follows;
û = [tex]\frac{(4, -4)}{4\sqrt{2} }[/tex]
û = [tex](\frac{4}{4\sqrt{2} }, \frac{-4}{4\sqrt{2} } )[/tex]
û = [tex](\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )[/tex]
Therefore, the unit vector is [tex](\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )[/tex]
If A has the coordinate -10 and C has the coordinate 14 and B is the midpoint of a AC, then what is the coordinates of D which is the midpoint of BC?
Answers
Answer:
8
Step-by-step explanation:
The midpoint of AC is ...
B = (A +C)/2 = (-10 +14)/2 = 2
The midpoint of BC is ...
D = (B +C)/2 = (2 +14)/2 = 8
The midpoint of BC is 8.
Let
f(x) =
7x − 5, x ≤ −5
−x2, x > −5
.
Find
f(−1), f(−5), and f(−6)
Answers
Answer:
EZ
Step-by-step explanation:
EZ
Find an equation of the line passing through the points (−8,2) with the slope m= 4/3
Answers
Answer:
[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]
Step-by-step explanation:
So we want to find an equation of a line passing through (-8,2) with a slope of 4/3.
To do so, we can use the point-slope form. This is:
[tex]y-y_1=m(x-x_1)[/tex]
So, substitute (-8,2) for x₁ and y₁, and let m be 4/3:
[tex]y-2=\frac{4}{3}(x+8)[/tex]
Distribute the right:
[tex]y-2=\frac{4}{3}x+\frac{32}{3}[/tex]
Add 2 to both sides. Note that 2 can be written as 6/3. Thus:
[tex]y=\frac{4}{3}x+\frac{32}{3}+\frac{6}{3}[/tex]
Simplify:
[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]
And this is our equation :)
PLEASE HELP !
Expand the following numbers ;
1.) 1.23 x 10^0
2.) 1.54 x 10^4
3.) 2.5 x 10^-3
4.) 5.67 x 10^-1
5.) 1.00 x 10^8
6.) 1.00 x 10^-8
Answers
Answer:
1. 1.23
2. 15400
3. 0.0025
4. 0.567
5. 100000000
6. 0.00000001
Step-by-step explanation:
you just move the decimal point left for negative and right for positive
(Anything to the power of 0 = 1)
2) 1.54 x 10000 = 15400
3) 2.5 x 0.001 = 0.0025
4) 5.67 x 0.1 = 0.567
5) 1 x 100000000 = 100000000
6) 1 x 0.00000001 = 0.00000001
Formulate the quadratic function that contains the points (-2,1), (0,1) and (1,4).
o f(x) = x2 + 2x +1
Of(x) = x2 - 2x + 1
Of(x) = x2 - 2x - 1
o f(x) = x2 + 2x - 1
Answers
Answer: A) f(x) = x² + 2x + 1
Step-by-step explanation:
The standard form of a quadratic equation is: y = Ax² + Bx + C
Input (x, y) coordinates into the standard equation to solve for A, B, & C.
(0, 1) → 1 = A(0)² + B(0) + C
1 = C
(-2, 1) → 1 = A(-2)² + B(-2) + C
1 = 4A - 2B + 1
0 = 4A - 2B
(1, 4) → 4 = A(1)² + B(1) + C
4 = A + C + 1
3 = A + B
Solve the system of equations:
0 = 4A - 2B → 1(0 = 4A - 2B) → 0 = 4A - 2B
3 = A + B → 2(3 = A + B) → 6 = 2A + 2B
6 = 6A
1 = A
Input A = 1 into either equation to solve for B:
3 = A + B
3 = 1 + B
2 = B
Now, Input A = 1, B = 2, and C = 1 into the standard equation:
y = (1)x² + (2)x + (1)
y = x² + 2x + 1
There are 180 girls in a mixed school. if the ratio of girls to Boyd is 4:3,find the total number of students in the school.
Answers
Step 1) Set up a proportion
180 girls / x boys = 4 girls / 3 boys
540 = 4x
x = 135 boys
Step 2) Add the number of boys and girls together
180 + 135 = 315
Answer: 315 total students
The sum of the sequence of 685+678+671+664+...+6
Answers
Answer:
Sum of the sequence (Sn) = 33,859
Step-by-step explanation:
Given:
Sequence = 685+678+671+664+...+6
Find:
Sum of the sequence (Sn)
Computation:
a = 685
d = 678 - 985 = -7
an = 6
an = a+(n-1)d
6 = 685+(n-1)(-7)
-679 = (n-1)(-7)
97 = n-1
n = 98
So,
Sum of the sequence (Sn) = (n/2)[a+an]
Sum of the sequence (Sn) = (98/2)[685+6]
Sum of the sequence (Sn) = (49)(691)
Sum of the sequence (Sn) = 33,859
What’s 2 1/6 - 1 5/6?
Answers
Answer:
2/6 or 1/3
Step-by-step explanation:
Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why?
Pre-Employment Drug Screening Results
Positive test result Negative test result
Drug Use Is Indicated Drug Use Is Not Indicated
Subject Uses Drugs 38 12
Subject Is Not a drug user 19 29
Answers
Answer:
0.193877
Step-by-step explanation:
The data given to us is
Pre-Employment Drug Screening Results
Positive test result Negative test result
Drug Use Is Indicated Drug Use Is Not Indicated
Subject Uses Drugs: 38 12
Subject Is Not a drug user: 19 29
Now the total of this is = 38+19+12+29= 98
Now the probability of false positive is = 19/98= 0.193877
The Subject Is Not a drug user would suffer from a false positive. He is not a user and has a positive result.
simplify the algebraic expression 3xy+5x+2+3y+x+4
Answers
Answer:
3xy+6x+3y+6
Step-by-step explanation:
You just need to combine like terms.
5x and x are like terms so you can add them to 6x.
2 and 4 are like terms so you can add them to 6
20 POINTSS!! Choose the fraction(s) equivalent to the given fraction. -1/7 Select all that apply A. -1/7 B. 1/-7 C. 1/7 D. -1/-7
Answers
Answer:
A and B.
Step-by-step explanation:
So we want to select the fractions that equal -1/7.
Let's go through each of the answer choices.
A)
A is -1/7, the exact same.
A is correct.
B)
B is 1/-7.
We can move the negative to the top.
So, 1/-7 is equivalent to -1/7.
B is also correct.
C)
C is 1/7
There are no negatives whatsoever.
C is not correct.
D)
We have -1/-7.
Again, move the negative to the top. We will have:
-(-1)/7
The two negatives cancel:
=1/7.
So, D is not correct.
Our answers are A and B.
Help it’s not b what is the answer plz help
Answers
Answer:
c
Step-by-step explanation:
Please see attached picture for full solution.
What is the answer rounded to the nearest whole number
Answers
7) A jet travels 440 miles in 2 hours. At this rate, how far could the jet Hy
12 hours? What is the rate of speed of the jet?
Answers
Answer:
2,640 miles in 12 hours.
Step-by-step explanation:
440/2=220mph
220*12 hours=2,640
rate of speed=220pmh
So 220 mph
for stella’s lemonade recipe, 18 lemons are required to make 15 cups of lemonade. at what rate are lemons being used in cups of lemonade per lemon? express your answer in simplest form.
Answers
Answer:
5/6 cups/lemon
Step-by-step explanation:
(15 cups)/(18 lemons) = (15/18) cups/lemon = 5/6 cups/lemon
Several children and adults visited a zoo last week. The
number of children was 2 less than 3 times the number of
adults. Let c represent the number of children and a represent
the number of adults. Which equation shows this situation?
A C = 3a-2
B C = 2a-3
C C = 3a +2
DC - 2a + 3
Answers
3 is the multiplier which means that 3 times the number of adults is 3a. And it’s less than 3a so it would be 3a-2.
Find the value of x in the equation below. 2x+8/6=1/3(x+4) A. x = 0 B. no real solutions C. infinitely many solutions D. x = 1
Answers
Answer:
x = 0
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x+8/6-(1/3*(x+4))=0
Simplify 1/3
Equation at the end of step 1 :
(2x + 8/6) - (1/3 * (x + 4)) = 0
STEP 2 :
Equation at the end of step 2
(2x + 8/6) - (x+4)/3 = 0
STEP 3 :
Simplify 4/3
Equation at the end of step 3 :
(2x + 4/3) - (x+4)/3 = 0
STEP 4 :
Rewriting the whole as an Equivalent Fraction
Adding a fraction to a whole
Rewrite the whole as a fraction using 3 as the denominator :
2x = 2x/1 = 2x*3/3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2x * 3 + 4/3 = 6x+4/3
Equation at the end of step 4 :
(6x+4)/3 - (x+4)/3 = 0
STEP 5 : Pulling out like terms
Pull out like factors :
6x + 4 = 2*(3x + 2)
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2*(3x+2)-((x+4))/3 = 5x/3
Equation at the end of step 5 :
5x/3 = 0
STEP 6: When a fraction equals zero
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator, multiply both sides of the equation by the denominator.
Here's how:
5x/3*3 = 0*3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
5x = 0
Solving a Single Variable Equation:
Solve : 5x = 0
Divide both sides of the equation by 5:
x = 0