Sum is always 1
Step-by-step explanation:
Step 1: Find the sum of probability of complementary events.The sum of probability of an event and its complementary event is always 1.
Here, the event is rolling an even number. Let it be P(even)
Its complementary event is rolling a number that is not even. Let it be P(not even)
P(even) = 1/6
P(not even) = 5/6
P(even) + P(not even) = 1/6 + 5/6 = 1
Select all that are measures of angles that are coterminal with a –50° angle. –770° –530° –410° 50° 310° 360° 410° 670°
Answer:
-770, -410, 310, 670
Step-by-step explanation:
-50 + 360 = 310
310 + 360 = 670
-50 - 360 = -410
-410 - 360 = -770
For the angle -50°, from the given options, the coterminal angles are: -770°,-410°, 310° and 670°.
Coterminal AnglesThis classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
You should replace w for integers numbers ≥ 1. Hence,
For w=1 and α=-50°β = -50± 360 * 1
β = -50± 360
Then, β can be -50+360=310° or -50-360= -410°
For w=2 and α=-50°β = -50± 360 * 2
β = -50± 720
Then, β can be -50+720=670° or -50-720= -770°
For w=3 and α=-50°β = -50± 360 * 3
β = -50± 1080
Then, β can be -50+1080=1030° or -50-1080= -1130°
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A museum groundskeeper is creating a semicircular statuary garden with a diameter of 23 feet. There will
be a fence around the garden. The fencing costs $7.50 per linear foot. About how much will the fencing
cost altogether? Round to the nearest hundredth. Use 3.14 for pi
Answer: $443.32
Step-by-step explanation:
Hi, to answer this question we have to calculate perimeter of a semicircle:
P = π (d/2) + d
Where d is the diameter
Replacing with the values given:
P = 3.14 (23/2) + 23 = 59.11 feet
Since each linear foot cost $7.50, we have to multiply that cost by the perimeter.
59.11 x 7.50 = $443.32
Feel free to ask for more if needed or if you did not understand something.
Consider the right triangle. A right triangles with side lengths 28 meters and 45 meters. The hypotenuse is unknown. What is the length of the hypotenuse StartRoot 53 EndRoot StartRoot 1,241 EndRoot 53 m 2809 m
Answer:
The answer is 53 or Square Root (sqrt) of 2809
Step-by-step explanation:
a^2+b^2=c^2
28^2+45^2=c^2
784+2025=c^2
c^2=sqrt 2809
c = 53
The hypotenuse of the right triangle is h = 53 m
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of base of triangle BC = 45 m
The height of the triangle AB = 28 m
And , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
On simplifying , we get
AC² = AB² + BC²
AC² = 28² + 45²
AC² = 784 + 2025
AC² = 2809
Taking square roots on both sides , we get
The measure of hypotenuse AC = √2809 = 53 m
Hence , the measure of hypotenuse is 53 m
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What type of object is pictured below?
Answer:
ray
Step-by-step explanation:
Answer:
C, a ray
Step-by-step explanation
Carl’s square swimming pool has a volume of 1000 cubed feet. What are dimensions of his pool?
Answer: the answer is down bellow
Step-by-step explanation:
x3-10oo Dimensions ft each S.
The dimensions of Carl's square swimming pool, given that its volume is 1000 cubic feet, are approximately 10 feet by 10 feet by 10 feet.
Explanation:Carl's swimming pool is a cube since all sides are equal. The volume of a cube is calculated by cubing one side (s^3). In this case, knowing that the volume is 1000 cubed feet, we can find the side length by taking the cube root of the volume. The cube root of 1000 is approximately 10 feet. Hence, the dimensions of Carl's swimming pool are 10 feet by 10 feet by 10 feet.
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The degree for 6g²h³k?
Answer:
the degree for this monomial is 7
Step-by-step explanation:
g^2 = 2
h^3= 3
k = 1
add the exponents- 2+3+1= 7
The Johnson family is moving and they need a truck with at least 55 cubic meters of space. The moving trucks they have to choose from are shown in the table below. Which is the smallest truck they can use?
PLEASE I WILL MARK AS BRAINLIEST!
Answer:
Medium
Step-by-step explanation:
Cause that what it is.
What type of lines are layered directly on top of each other?
when Quinn got home he turned the air conditioner on. T represents the temperature in Quinn's home (in degrees celsius) after t minutes. T=42-0.7t how fast did the temperature drop ??
Answer:
0.7 per minute
Step-by-step explanation:
0.7 in the equation represents how much the tempeture was dropping per minute.
Answer:
Step-by-step explanation:
T=42-0.7T
T=42-0.7(0)
T=42-0
T=42
Whole numbers between 10.99 and 13.99
Whole numbers between those two would be 11, 12, and 13.
Answer:
11, 12 & 13
Step-by-step explanation:
Whole numbers between 10.99 and 13.99 are 11, 12 & 13
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.
Complete the following steps to help Rylee find the net change to her banking account balance.
Answer: The net change to her banking account balance is $83.22.
Step-by-step explanation:
Hi to answer this question we have to analyze the information given:
She spent $36.50 plus 8% tax. ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)
36.50 x (8/100) =$2.92 (value of tax)
Adding to the original cost
36.50+2.92 = $39.42
Then, she spent $25 to refuel her car at the gas station.
39.42 +25 = $64.42
She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase
23.50 x (20/100) = 4.7 (amount of discount)
Subtracting to the purchase
23.50 -4.7= $18.8
Finally, adding to the total cost.
64.42 +18.8 = $83.22
Final answer:
To find the net change in Rylee's banking account balance, calculate the tax on her clothing purchase, add the fuel cost, and then subtract the grocery discount from the grocery purchase before summing all costs to get a total of $83.22.
Explanation:
The problem of calculating the net change to Rylee's banking account balance is a typical Mathematics problem involving percentages and addition. This is commonly tackled at the High School level. To solve it, we will need to calculate the total cost of each of Rylee's expenditures, including the application of tax and discounts where applicable.
Start by calculating the tax on the clothing store purchase: $36.50 * 8% = $2.92.Add the tax to the original amount to get the total clothing cost: $36.50 + $2.92 = $39.42.Add the fuel cost directly as there is no tax mentioned: $39.42 + $25 = $64.42.Calculate the discount on groceries: $23.50 * 20% = $4.70.Subtract the discount from the grocery total to find the final cost: $23.50 - $4.70 = $18.80.Add the discounted grocery cost to the previous total: $64.42 + $18.80 = $83.22.The net change to Rylee's banking account balance after all her purchases is $83.22.
need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2
Step-by-step explanation:
a=4 so plug 4 in for a 4+(-b) now we know b=2 but it has to in for b so we would get 4+(-2) now solve 4+-2 or if you think about 4-2 is easier it's going to be 2.
A middle school has 6th, 7th, and 8th-grade students. Which of the following would be a random sample of the students
A.) Surveying all of the teachers
B.) Surveying the students who buy their lunch in the cafeteria
C.) Surveying everyone whose last name begins with a G
D.) Surveying every 10th student who is on the class rosters
Answer:
c
Step-by-step explanation:
because you wount have a good esstimite you would only have the kids that start with G please mark as brainliest
3/5 * (t + 26) = −3(2 − t)
t =
Answer:
t=9
Step-by-step explanation:
What is the median of the following numbers
Answer: You did not give me any numbers...
Step-by-step explanation:
just to say, The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set.
The Swaying Palms Hotel has 200 rooms. The graph shows the average number of
rooms occupied during each month of the year. During which month does the hotel
have the most empty rooms?
Answer:
Februay
Step-by-step explanation:
Which sequence are geometric?
Answer:
The second one
The third one.
The last one.
Step-by-step explanation:
Hope this helps!
You go to the store and find some books that are 35% off regular price. If a book costs $20, what would you pay?
Answer: 13 dollars
Step-by-step explanation:
Answer:
13 dollars.
Step-by-step explanation:
Hope this helps!
Multiply 20 dollars by 0.65.
On her MP3 player, Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes. What is the probabilty the next song will be longer than three minutes?
Step-by-step explanation:
Total songs = 36 + 72 = 108
[tex]required \: probability = \frac{72}{108} \\ \hspace{100 pt} = \frac{2}{3} \\ [/tex]
Hence, probabilty that next song will be longer than three minutes is [tex] \frac{2}{3}[/tex]
Final answer:
The probability that the next song will be longer than three minutes is 2/3 or 66.67%.
Explanation:
The question concerns calculating the probability of selecting a song longer than three minutes from Stephanie's MP3 player. Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes.
To find the probability that the next song will be longer than three minutes, we add the total number of short and long songs to get the total number of songs. The total is 36 + 72 = 108 songs. Since probability is the number of favorable outcomes divided by the total number of outcomes, the probability of selecting a song longer than three minutes is 72 (favorable outcomes) divided by 108 (total outcomes).
This calculation gives us 2/3 or approximately 0.6667, meaning there is a 66.67% chance the next song will be longer than three minutes.
What is the equation of the line through the points (-3, 4) and (5, 4)?
Answer:
The correct equation (in slope intercept form) is [tex]y=-4x+8[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is y=4.
What is the equation of a line?The standard form of the line is;
[tex]\rm y=mx+c[/tex]
The slope of the line is;
[tex]\rm m=\dfrac{x_2-x_1}{y_2-y_2}\\\\m =\dfrac{5-(-3)}{4-4}\\\\m =\dfrac{8}{0}\\\\m=0[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is;
[tex]\rm y-y_1=m(x-x_1)\\\\y-4=0(x-(-3))\\\\y-4=0\\\\y=4[/tex]
Hence, the equation of the line through the points (-3, 4) and (5, 4) is y=4.
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Which is a right triangle formed using a diagonal through the interior of the cube?
Answer:
ΔABE is correct because it is a right triangle through a diagonal
Step-by-step explanation:
Answer: A
Step-by-step explanation:
I NEED HELP! (Tap on picture!)
The area of a square garden is 36 square feet. What is the side length of the garden
Answer:
6
Step-by-step explanation:
because 6 times 6 =36 so the answer is 6
Answer:
6 ft
Step-by-step explanation:
We know that side * side equals area, and that squares have all sides the same length. So therefore, A = [tex]s^{2}[/tex].
If we know the area, then we can do [tex]\sqrt{36}[/tex] which equals 6
Can someone help me do this thank you
Answer:
d = 15
Step-by-step explanation:
6+15 = 21
Find the surface area of a sphere with radius of 1.5 and slant height of 6.
Answer:
about 28.27
Step-by-step explanation:
A=4πr2
JK Fitness Center offers two membership plans. The tables represent the monthly cost, in dollars, of each membership plan based on the
number of visits to the fitness center.
PART A: At a certain number of visits, both plans will cost the same. At that number, how much will both plans cost, in dollars?
PART B: Which plan is more expensive at the 10th visit?
Write the number of the plan in the box.
Step-by-step explanation:
From the looks of it, Plan A is 25 + 2x and plan B is 40 + x.
Part A:
25 + 2x = 40 + x
x = 15
plug in any: 40 + 15 = $55
Part B:
Plan A = $45
Plan B = $50
Plan B is $5 more expensive.
After 15 number of visits, both plans cost $55 and at the 10th visit, plan 2 is more expensive than plan 1.
What is Arithmetic Sequence?Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.
Part A :
From the table, we can clearly express both plans as Arithmetic sequence.
Plan 1 : First term, a = 27 and common difference, d = 2
Plan 2 : First term, a = 41 and common difference, d = 1
Let n be the number of visits that both plans costs the same.
27 + 2(n - 1) = 41 + (n - 1)
27 + 2n - 2 = 41 + n - 1
2n + 25 = n + 40
n = 15
Cost = 41 + (15 - 1) = $55
Part B :
We have to find the 10th term.
For plan 1 :
Cost at 10th visit = 27 + 2(10 - 1) = $45
For plan 2 :
Cost at 10th visit = 41 + (10 - 1) = $50
The plan 2 is more expensive at the 10th visit.
Hence at the 10th visit, plan 2 is more expensive.
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Given that the measurement is in centimeters, find the circumference of the circle to the nearest tenth. (Use 3.14 for π)
A) 15.7 cm
B) 31.4 cm
C) 62.8 cm
D) 78.5 cm
Answer:
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2πr. That for a circle of diameter d is C = πd.
If we assume that the measurements below are of radius, not diameter, then in A, 15.7 cm = 2(3.14)(r), so that r must be 2.5 cm.
Please be sure to share ALL of the instructions for each problem.
Circumference of the circle is 31.4 cm
Given that;
Value of π = 3.14
Assume;Radius of circle = 5 cm (Approx.)
Computation:Circumference of the circle = 2πr
Circumference of the circle = 2(3.14)(5)
Circumference of the circle = (10)(3.14)
Circumference of the circle = 31.4 cm
So, option "B" is the correct answer to the following question.
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Can anybody help? Exponential Functions
Justin is skeet shooting. The height of the skeet is modeled by the equation h= -5t^2 +32t + 2, where h represents the height in meters and t seconds after the skeet is released. The path of Justin's bullet is modeled by the equation h= 31.5t + 1, with the same units. How long will it take for the bullet to hit the skeet? How high off the ground will the skeet be?
By solving the system of equations representing the paths of the bullet and the skeet, we find that the bullet will reach the skeet 3.79 seconds after the skeet's release, at a height of approximately 120 meters.
Explanation:This problem involves solving systems of equations to determine the interaction between a projectile and target, something commonly addressed in physics as well as in mathematics. The solution involves equalizing the equations[tex](h = -5t^2 +32t + 2)[/tex] modeling the height of the skeet and (h = 31.5t + 1) the path of Justin's bullet. By solving this system of equations we find two potential times, t = 3.79 s and t = 0.54 s.
Since we can reason the skeet won't get hit before it is released, disregard t = 0.54 s. Therefore, the bullet will hit the skeet 3.79 seconds after the skeet is released. This is the time it takes for the bullet to reach the skeet. To find the height at which the bullet hits the skeet, substitute t = 3.79 into either of the two original equations (both should work). Using h = 31.5t + 1, for instance, yields approximately h = 120 meters.
So, the bullet hits the skeet 3.79 seconds after the skeet is released, at a height of about 120 meters from the ground.
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Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the answer in percent.
P(greater than 3)=
P(not 5, 6,7,or 8)=
Answer
probability of greater than 3 is 60%
not 5,6,7 or 8 is 60%
Answer:7/10
Step-by-step explanation: multiple of 4 is: 1,2,4. So that's 3 number which would leave you with 7 more which is 70% and 7/10 as a fraction