Answer:
the die: 1/2, coin: 1/2
Step-by-step explanation:
There are 6 sides on a die and 6 numbers, 3 are even numbers which means 3/6. simplify it to get 1/2
there are 2 sides on a coin, one is heads. Therefore, the probability is 1/2
The fractional probability that the die lands on an even number and the coin is heads is [tex]\frac{1}{4}[/tex].
What is probability?"Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."
Given, a die is tossed and a coin is flipped.
Therefore, the number of outcomes in case of die is 6 and the number of favorable outcomes is 3.
Hence, in case of the die, probability of getting an even number is P(A) = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex].
Again, the number of outcomes in case of the coin is 2 and the number of favorable outcomes is 1.
Hence, in case of the coin, probability of getting head is P(B) = [tex]\frac{1}{2}[/tex].
Now, the fractional probability that the die lands on an even number and the coin is heads is = P(A) × P(B) = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex].
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How do you say -3.14 in English
Answer:
minus three point one four
Pleaseeee hELPppP ASaP
Answer:
SAS
best of luck for the test/exam♡~
through: (-1.-5). slope - 3 what is the slope intercept form of the equation
Answer:
y= -3x+2
Step-by-step explanation:
[tex]y - ( - 5) = - 3(x - ( - 1)) \\ y + 5 = - 3x - 3 \\ y = - 3x + 2[/tex]
Find the composite function (please help)
Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Composite FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
Step 2: Find Composite Function
Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8Evaluate: (f o h)(x) = 2(12 - 5x) + 8Distribute 2: (f o h)(x) = 24 - 10x + 8Combine like terms: (f o h)(x) = -10x + 32And we have our final answer!
Savannah has an action figure collection. She keeps 57 of the action figures on her wall, which is 19% of her entire collection. What is the total number of action figures in Savannah's collection?
Answer:
She has a total of 300 action figures.
Step-by-step explanation:
19 : 100 = 57 : x
x = 100/19 * 57
x = 300
I NEED HELP ASAP!!! PLEASE AND THANK YOU!! WILL MARK BRAINLIEST!!!!
Beth wrote a system of equations to determine when a referee will earn the same salary working the East Conference and West Conference games.
y = 40x − 25 and y = 35x − 5
(x = total games and y = amount earned)
Beth determined that at 135 games, the referee would earn the same salary for each conference game. Is she correct?
Yes, Beth is correct.
No. She did not find the correct intersection point.
No. She only estimated and did not find the exact values.
No. She interpreted the solution of (4, 135) incorrectly.
Answer:d
Step-by-step explanation:
Should be 4 games not 135
Answer:
D. No. She interpreted the solution of (4, 135) incorrectly.
Step-by-step explanation:
A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 30 \text{ cm}30 cm30, start text, space, c, m, end text, and the bicycle wheel makes 333 full rotations before stopping. How long is the trace of water left on the floor? Round your answer to the nearest \text{cm}cmstart text, c, m, end text.
Answer:
565 cm
Step-by-step explanation:
Given that:
Radius of tire (r) = 30 cm
Number of complete rotations made = 3
To start with :
Obtain the Circumference : 2πr
Hence,
Circumference = 2 * π * r
= 2 * π * 30 = 6
= 188.49555 cm²
Length of trace of water left :
188.49555 * 3
565.48667
= 565cm (nearest cm)
The mass of a baby elephant is 113 kg, and it walks at a constant velocity of 0.5 m/sec. What is the kinetic energy for the baby elephant?
Answer:
Step-by-step explanation:
K.E. = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]
So,
=1/2 x 113 x 0.5 x 0.5
=1/2 x 1/2 x 1/2 x 113 (Because, 0.5 = 1/2)
=1/8 x 113
= 14.125 J
Using the kinetic energy formula, the kinetic energy of the baby elephant is 14.125 joules
Given the Parameters :
Velocity, v = 0.5 m/secMass, m = 113 kgRecall :
Kinetic energy = 0.5mv²The kinetic energy of the baby elephant can be calculated thus :
Kinetic energy = 0.5 × 113 × 0.5² = 14.125 Joules
Therefore, the kinetic energy of the baby elephant is 14.125J
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Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x.
Given f(x)=2^x and g(x)=f(x-2)+4, write the new function rule (equation) for function g and describe (using words*) the two transformations that occur between function f and function g.
Answer:
4.3
Step-by-step explanation:
Answer:
4.3 would be your scientific answer
Step-by-step explanation:
:) let me know if i help if not ill give you your points back
Write two numbers that multiply to the value on top and add to the value on bottom.
Answer:
8 and 3 is your answer
mark beyondledend answer as brainlist
Find the values of the variables.
X = ____.
Y = ____.
Please help! I’ll give brainliest to whoever answers first!
Answer:
x = 16 y = 22.627 (or 16[tex]\sqrt{2[/tex])
Step-by-step explanation:
cos(45) = 16/y
y = 16/cos(45)
y = 22.627
tan(45) = 16/x
x = 16/tan(45)
x = 16
*this can also be found because we know this is a right triangle with two angles of 45 degrees. This means that both sides will be equal so x will be 16 and the diagonal will be 16 root 2 (22.627)
I need help with #3, I'll mark brainliest!
Answer:
Step-by-step explanation:
285
Answer:
Company P's total cost is $285
Step-by-step explanation:
Graphed rates of changes and the lowest point was (2375, 285).
In a certain year, according to a federal agency, the median net worth of people under age 35 was $13,900. The median net worth of those from 35 to 44 was $69,600. Round to the nearest whole number.
Part 1 out of 2
About how many times as great was the net worth of those from 35 to 44 as compared to those under 35?
The net worth of those from 35 to 44 was about
times greater than those under 35.
tel now
Answer:
The net worth of those from 35 to 44 was about 5 times greater than those under 35.
Step-by-step explanation:
69,600 divided by 13,900 is around 5.
4x + 3y = 1
12x– 9y=4
Answer:
x = 7/24 y = -1/18
Step-by-step explanation:
3y = -4x + 1
y = (-4/3)x + (1/3)
*plug into the other equation
12x - 9(-4/3x + 1/3) = 4
12x + 12x - 3 = 4
24x = 7
x = 7/24
*now plug into original equation
y = (-4/3)(7/24) + 1/3
y = -1/18
Round the numbers to estimate the quotient. 29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction Which numbers should be used? 25 ÷ 5 The estimated quotient is
Answer:
The quotient is 6.
Step-by-step explanation:
Given two fractions are:
[tex]29\dfrac{1}{5}[/tex]
and
[tex]4\dfrac{6}7[/tex]
To find:
The quotient of
[tex]29\dfrac{1}{5}\div 4\dfrac{6}7[/tex]
Solution:
Formula to convert mixed fraction to a fraction:
[tex]p\dfrac{q}{r} = \dfrac{p\times r+q}{r}[/tex]
Using the above formula to rewrite the given mixed fractions:
[tex]29\dfrac{1}{5}[/tex] can be written as:
[tex]\dfrac{29\times 5+1}5\\\Rightarrow \dfrac{146}{5}[/tex]
[tex]4\dfrac{6}7[/tex] can be written as:
[tex]\dfrac{4\times 7+6}{7}\\\Rightarrow \dfrac{34}{7}[/tex]
Now dividing:
[tex]\dfrac{\frac{146}{5}}{\frac{34}{7}}\\\Rightarrow \dfrac{146\times 7}{5\times 34}\\\Rightarrow \approx 6[/tex]
Therefore the quotient is 6.
Answer:
Round the numbers to estimate the quotient.
29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction
Which numbers should be used?
✔ 29
÷
✔ 5
The estimated quotient is
✔ 5 4/5
Step-by-step explanation:
Please help!!
31=x/3+10
Answer:
403
Step-by-step explanation:
31 = x/3 + 10
31 = (x + 30)/3
93 = x + 30
x = 93 - 30
x = 63
An item that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
Do not include units, %, in your answer.
Answer:
it is 16.7
Step-by-step explanation:
What is 6,384 times 745
Answer:
4756080
Step-by-step explanation:
I hope this helps you
Joan sewed 115 fabric squares for her new quilt. Each fabric square was 12 inches by 12 inches. If no fabric square was cut or folded, which statement describes the largest square quilt Joan could make?
Joan sewed 115 fabric squares for her new quilt. Each fabric square was 12 inches by 12 inches. If no fabric square was cut or folded, which statement describes the largest square quilt Joan could make?
Group of answer choices
1.Joan has too many squares for a 9-foot-by-9-foot quilt and not enough squares for a 10-foot-by-10-foot quilt.
2.Joan has too many squares for a 10-foot-by-10-foot quilt and not enough squares for an 11- foot-by-11-foot quilt.
3.Joan has too many squares for an 11-foot-by-11-foot quilt and not enough squares for a 12- foot-by-12-foot quilt.
4.Joan has too many squares for a 12-foot-by-12-foot quilt and not enough squares for a 13-foot-by-13-foot quilt.
Answer:
3.Joan has too many squares for an 11-foot-by-11-foot quilt and not enough squares for a 12- foot-by-12-foot quilt.
Step-by-step explanation:
Given that:
Joan sewed 115 fabrics for her new quilt and each fabric square was 12 by 12 inches, suppose no fabric square was cut or folded, the largest quilt Joan could make was an 11-foot-by-11-foot quilt but not enough squares for a 12- foot-by-12-foot quilt.
Select the correct answer.
Factor each polynomial function. Based on these factors, which polynomial's graph crosses the x-axis at only one point?
Answer: f(x)=x^3-7x^2+3x-21
Step-by-step explanation: I took the test
Answer:
The correct answer is:
f(x)=x^2-7x^2+3x-21
Step-by-step explanation:
I got it right on the Edmentum test.
Cooper took a math quiz last week. There were 76 problems on the quiz and Cooper answered 75% of them correctly. How many problems did Cooper get correct?
Answer:
57 problems
Step-by-step explanation:
Total number of problems = 76
Percentage of problems answered correctly = 75%
The number of problems Cooper got correctly =
75% of 76
= 75/100 × 76
= 57 problems
Cooper got 57 problem correctly
The only room visible in the KELLER house is ANNIE’S, where by lamplight ANNIE in a shawl is at a desk writing a letter; at her bureau HELEN in her customary unkempt state is tucking her doll in the bottom drawer as a cradle, the contents of which she has dumped out, creating as usual a fine disorder.
—The Miracle Worker,
William Gibson
Based on the stage directions, where does this scene in the play take place?
in Annie’s room at the Perkins Institute for the Blind
in Annie’s room in the Keller residence
in a classroom at the Perkins School for the Blind
in Annie’s room at a hotel near the Keller home
Answer:
The Answer is B
Step-by-step explanation:
Answer:
the answer is b he is right
Step-by-step explanation:
A class of 25 students went to a zoo.The total admission cost for the 25 students was $56.25.The admission cost was the same for each student. What is the admission cost for 1 student
Answer:
2.25USD$ Per Student
Step-by-step explanation:
Please mark me brainliest :) I need it to rank up :)
Daisy's Flowers sell a rose bouquet for $39.95 plus $2.95 for every rose. A competing florist sells a similar bouquet for $26.00 plus $4.50 for every rose. Find the number of roses that would make both florists' bouquets cost the same price.
Answer:
9 rosesStep-by-step explanation:
Step one:
given data
For Daisy's Flowers
the cost is $39.95
an additional $2.95 for every rose
let the number of rose be x
the linear model for the cost is
y=39.95+2.95x-----------1
Step two
For the competing florist
the cost is $26
an additional $4.5 for every rose
let the number of rose be x
the linear model for the cost is
y=26+4.5x------------2
Step three:
equating the two above equations to find the number of roses x
we have
39.95+2.95x=26+4.5x
solve for x
39.95-26=4.5x-2.95x
13.95=1.55x
divide both sides by 1.55
x=13.95/1.55
x=9
Hence the number of roses that would make both florists' bouquets cost the same price is 9 roses
Every month the library hosts a family movie night. This month, 50 people attended the movie night. This was two more than three-fourths of the total number of people who attended the movie night last month. Write and solve an equation to determine how many people attended last month's family movie night. Use x as the variable.
Answer:
64 people
Step-by-step explanation:
Let the number of people that attended the movie last month be represented by x.
Number of people who attended the movie this month = 50
[tex]\frac{3}{4}[/tex] of x + 2 = 50
[tex]\frac{3x}{4}[/tex] + 2 = 50
[tex]\frac{3x}{4}[/tex] = 50 - 2
[tex]\frac{3x}{4}[/tex] = 48
3x = 48 x 4
3x = 192
x = 64
The number of people that attended the movie last month was 64.
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A group of 32 people need to take an elevator to the top floor. They will go in groups of eight. They are deciding who will take the elevator on its second trip.
Answer:
probability is 1/24
Step-by-step explanation:
PLEASE HELP FAST!!!!! ILL MARK BRAINLIEST!!!!!
Brigit earns $10 per hour for bagging groceries at a grocery store and $8 per hour for
babysitting. She wants to earn at least $80 this week. The linear inequality shown in the
graph represents this situation, where x is the number of hours she works at the grocery
store and y is the number of hours she babysits. Which ordered pair is a solution of the
linear inequality?
Weekly Earnings of
at Least $80
10
8
6
Time Babysitting (W
4
X
2
6
8
10
4
Time Worked at
Grocery Store (h)
O (2,7)
O (3,6)
O (8,3)
(6,2)
Answer:
c
Step-cby-step explanation:
hope it helps give me crown pls
The ordered pair is a solution of the linear inequality would be; (8,3)
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
We are given that Brigit earns $10 per hour for bagging groceries at a grocery store and $8 per hour for babysitting. She wants to earn at least $80 this week.
Let x is the number of hours she works at the grocery store and y is the number of hours she babysits.
The linear inequality shown in the graph represents this situation as;
10x + 8y ≥ 80
Therefore, the ordered pair is a solution of the linear inequality would be;
(8,3)
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Write a quadratic function with zeros -1 and 5.
Answer:
[tex]x^2+4x-5[/tex]
Step-by-step explanation:
Zeros of a quadratic equation are -1 and 5.
Sum of zeros = -1 + 5 = 4
Product of zeros = (-1)(5) = -5
The quadratic equation will be :
[tex]x^2+(\text{sum of zeros})x+\text{product of zeros}\\\\=x^2+4x-5[/tex]
So, the required quadratic equation is [tex]x^2+4x-5[/tex].
1. A fish is 12 meters below the surface of the ocean. What is its elevation? meters 2. A sea bird is 28 meters above the surface of the ocean. What is its elevation? meters 3. If the bird is directly above the fish, how far apart are they? meters
Answer:
- 12 meters
28 meters
40 meters
Step-by-step explanation:
Given that:
A fish is 12 meters below the surface of the ocean. What is its elevation?
Position of fish = 12 meters below the surface = - 12 ;
Sea level = 0
Elevation = sea level + position
Elevation = 0 + (- 12)
= - 12 meters
2. A sea bird is 28 meters above the surface of the ocean. What is its elevation?
Position of bird = 28 meters below the surface = (28) ;
Sea level = 0
Elevation = sea level + position
Elevation = 0 + 28
= 28 meters
3. If the bird is directly above the fish, how far apart are they?
If bird is directly above the fish;
Distance between bird and fish :
Elevation of bird - elevation of fish
28 - (-12)
28 + 12
= 40 Meters