===================================================
Explanation:
Initially there are 15+18+12 = 45 marbles total. He selects 3 marbles (2 reds, 1 blue).
Assuming he doesn't put the three marbles back, this means there are now 45-3 = 42 marbles overall. The yellow count hasn't changed since the first three marbles do not involve yellow. We have 12 yellow out of 42 which leads to the fraction 12/42 to represent the probability of getting yellow.
Reduce 12/42 to get 2/7. You divide both parts by the GCF 6.
-------
Side note: if he did put the marbles back, then the probability of getting yellow would be 12/45 = 4/15
Evaluate the expression 2*2^3*5-3
Answer:
77 would be the right answer
use rounding to estimate the product of 198 and 42 round to nearest 10
Answer:
≈ 8000
Step-by-step explanation:
Step 1: Round 198
198 ≈ 200
Step 2: Round 42
42 ≈ 40
Step 3: Multiply
200(40) = 8000
Real answer is 8316.
What is absolute value ?
Answer:
the magnitude of a real number without regard to its sign.
Step-by-step explanation:
Solving Absolute Value is just asking you how far away -4 is from zero. Since distance is always a positive number (you can't travel "negative" steps, just steps in a different direction), the result of absolute value is always positive. Make the number in the absolute value sign positive.
Given the function k(t)=2t−1: a. Evaluate k(2). b. Solve(k)=7.
Answer:
[tex]k(2) = 3[/tex]
[tex]t = 4[/tex]
Step-by-step explanation:
Given
[tex]k(t) = 2t - 1[/tex]
Solving (1): k(2)
Take t as 2 such that t = 2
This gives
[tex]k(2) = 2 * 2 - 1[/tex]
[tex]k(2) = 4 - 1[/tex]
[tex]k(2) = 3[/tex]
Solving (2): k(t) = 7
Substitute 7 for k(t)
[tex]7 = 2t - 1[/tex]
Add 1 to both sides
[tex]7 + 1 = 2t - 1 + 1[/tex]
[tex]2t = 8[/tex]
Divide both sides by 2
[tex]t = \frac{8}{2}[/tex]
[tex]t = 4[/tex]
-ayuda ¡¡¡ Se tiene previsto implantar un proyecto de "Caucho sintético" cuya inversión sería de S/ 2 500 000, para un tamaño de planta de 12 000 toneladas anuales. Luego de estudiar el proyecto, los promotores estiman que es más conveniente un tamaño de 19 200 toneladas por año. ¿A cuánto ascenderá la inversión total, si el exponente del factor de escala es α=0,63? ayuda !!!!!
Answer:
En caso de un tamaño de producción de 19,200 toneladas anuales, el costo de inversión total ascenderá a $3,999,936.
Step-by-step explanation:
Dado que la inversión inicial será de $ 2,500,000 para un tamaño de planta de 12,000 toneladas anuales, se estima que cada tonelada requiere una inversión de $208.33 (2,500,000 / 12,000).
Por lo tanto, en caso de una producción anual de 19,200 toneladas, el costo de inversión aumentará según lo establecido en la siguiente multiplicación:
208.33 x 19,200 = X
3,999,936 = X
Por lo tanto, en caso de un tamaño de producción de 19,200 toneladas anuales, el costo de inversión total ascenderá a $3,999,936.
What is the area of this figure?
Answer:
44 cm^2
Step-by-step explanation:
You can separate this figure into three rectangles. The area of the first rectangle is 20. The area of the second rectangle is 6. And the area of the third is 18. If you add those all together you get 44 cm^2
If John has drank three drinks per day how many will he have drank in 3 day's?
Answer: 9
do the 3 times table
Step-by-step explanation: if 3 in 1 than 9 in 3
hoped this helped let me know if it did
The toy horse collection contains 10 horses. You purchase the set and then sell 3 horses to Kate. If you only charge the exact price (no tax involved), how much does Kate pay you?
Answer:
three tenths of the original amount
Let's start.
There are 10 horses.
(Buying the set is not important, since it does not affect this scenario.)
You sell three horses to Kate, and you expect her to give you the exact price.
Let's say that 10 horses cost the total (unknown).
10 horses equal the total amount, or 1
10 to 1
Now, you sell 3 of these horses. You must multiply 10 and n to make 3.
10 x n = 3
10x 3/10 = 3
Do the same to the other side.
1 x 3/10 = 3/10
3 to 3/10
Help me with this one too
Answer:
2 + 8 -7 = 3
Hope it helps.......
The distance around a yard is 588ft. If the length of the yard is 2 more than 3 times the width, find the perimeter and width of the yard
Answer:
Perimeter = 588ft (given), Width of yard = 73ft
Step-by-step explanation:
The distance around a yard is the perimeter of the yard, so we know that the perimeter of the yard is 588ft. In order to find the length and width, we need to make an equation so we can solve for one of them. Since the length is 2 more than 3 times the width, we can represent it as 3w+2, where w is the width. This ensures we only have one unknown to solve for as we only have one equation. Since perimeter is the distance around the yard, it is calculated by adding the length of the 2 widths to the length of the 2 lengths, hence 588ft = 2w + 2l, the l we replace though as we can only solve for one unknown, so now we have:
2w + 2(3w+2) = 588
Now we can start solving for the width!
Firstly we need to expand the bracket which we do by multiplying the 2 by all the contents inside the bracket, so:
2w + 2*3w + 2*2 = 588
which equals:
2w +6w +4 = 588
Now we combine terms and move the 4 to the other side so we can solve for w:
8w + 4 -4 = 588 - 4
8w = 584
Now we just divide both sides by 8 to get:
w=73
The width of the yard is 73ft.
Hope this helped!
A figure was created using a triangle and a semicircle. Use the ruler provided to measure the dimensions of the triangle and the semicircle to the nearest centimeter.
Which measurement is closest to the area of the figure in square centimeters?
A.
78 cm2
B.
81 cm2
C.
106 cm2
D.
53 cm2
Answer: D
Step-by-step explanation:
The price of jeans was reduced $15 per week for 6 weeks by how much did the price of the jeans change over the 6 weeks
Step-by-step explanation:
1. 7 (-6)=42
after 7 weeks the price will be reduced by 7 time
the price will be reduced $42
1.6=Y/1.5 WHAT IS THE ANSWER
Isolate the variable Y by multiplying 1.5 on both sides.
[tex]Y=1.6*1.5[/tex]
[tex]Y=2.4[/tex]
Hope this helps.
頑張って!
Answer:
y=2.4
Step-by-step explanation:
You need to get Y alone so just multiply it with the reciprocal: 1.5/1 on both sides. This cancells out the denominator and just multiplies 1.6 with 1.5 to get 2.4
Ten people ordered calculators. The least expensive was $29.95 and the most expensive was $89.95. Half of them ordered a $69.95 calculator. Select the best
estimate of the amount spent on calculators.
$490
$660
$550
$805
Choose the best estimate for the total amount spent for all 10 calculators.
O A. $805
OB. $490
OC. $550
OD. $660
Answer:
310
Step-by-step explanation:
least money 19.95
Most money = 39.95
Mean = (least+most)/2 = 29.95
money for half people = 5 × (mean) 29.95
Amount of money for half people = 149.75
Lower limit for amount of the other half = 19.95 × 5 = 99.75
The Upper limit for the amount of the other half = 39.95 × 5 = 199.75
Mean = (99.75 + 199.75)/2 = 149.75
Total money spent (Mean) = 149.75 + 149.75 = 299.5
The Best estimate is B) 310 because it is closest to 295.5
A mean is an arithmetic average of a set of observations. The correct option is D.
What is Mean?A mean is an arithmetic average of a set of observations. It is given by the formula,
Mean = (Sum of observations)/Number of observations
To make the calculations easy let's round off the given numbers. Therefore, we can write the values as,
Least expensive A=30Most expensive B=90half of order C=70Now, the mean and the money for half the people can be written as,
Mean = (least + most)/2 = 60
money for half people = 5 × 60
Therefore, the amount of money for half people will be,
Amount of money for half people = 300
Lower limit for amount of the other half = 29.95 × 5 = 149.5
The Upper limit for the amount of the other half = 89.95 × 5 = 449.75
Mean = (149.75 + 449.75)/2 = 299.6
Total money spent (Mean) = 299.6 + 299.6 = 599.25
Hence, The Best estimate is $660. This is because it is closest to 599.25.
Learn more about Mean here:
https://brainly.com/question/15397049
#SPJ2
show that the sequence with sum of the first n term sn=3n²+5n is an arithmetic sequence.
Answer:
The formula says that the sum of the first n terms of our arithmetic sequence is equal to n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.
An explorer is climbing up and rappelling down a series of cliffs and drop-offs. She starts at her base camp, which is on the middle of a mountain. She begins by rappelling down an 82.5-foot drop-off and then climbs a cliff of 30.4 feet. Next she rappels down a 45.5-foot drop-off and then climbs a 25.2-foot cliff.Finally she makes two 45.4-foot climbs. Part A: How far above or below her base camp is the explorer now?
Answer:
162.8 above her camp site she starts at the middle and drops 82.5 and then climbs 30.4 which puts her at 52.1 then by her repelling down another 45.5 drop she then proceeds to climb 25.2 which puts her at 72.4 and if you multiplie 45.4 by 2 it counts for the extra 90.4 drop which then concludes her climb to be bellow her site by 162.8 and the 1st word is supposed to be bellow my bad.
Step-by-step explanation:
step by step is above
Find the remaining trigonometric ratios. tan(α) = 2, 0<α<π/2the responses they want are:1. sine(α)=_2. cos(α)=_3. cot(α)=_4. sec(α)=_5. csc(α)=_
Answer:
1. sinα = +2√5/5 2. cosα = +√5/5 3. cotα = +1/2 4. secα = +√5 5. cosecα = +√5/2.
Step-by-step explanation:
1. Since tan(α) = 2 and 1 + cot²α = cosec²α
1 + 1/tan²α = 1/sin²α
1 + 1/2² = 1/sin²α
1 + 1/4 = 1/sin²α
5/4 = 1/sin²α
sinα = ±√(4/5)
sinα = ±2/√5
sinα = ±2√5/5
Since 0<α<π/2, sinα = +2√5/5
2. sin²α + cos²α = 1
(2/√5)² + cos²α = 1
4/5 + cos²α = 1
cos²α = 1 - 4/5
cos²α = 1/5
cosα = ±1/√5
cosα = ±√5/5
Since 0<α<π/2, cosα = +√5/5
3. cotα = 1/tanα = 1/2
Since 0<α<π/2, cotα = +1/2
4. secα = 1/cosα = 1/±1/√5 = ±√5
Since 0<α<π/2, secα = +√5
5. cosecα = 1/sinα = 1/±2/√5 = ±√5/2
Since 0<α<π/2, cosecα = +√5/2
60) 786
Long division?
Answer:
This image will help!
Thanks and have a good day.
у
is 100% more than x.
Circle the ratio
x : y
Answer:
1:2
Step-by-step explanation:
4.5 and 5 are respectively the average of 2sets of number 3, 4, x, y and 2x, y, 4, 3, find the value of x, y
Step-by-step explanation:
4.5 * 4 = 18.
3 + 4 + x + y = 18, x + y = 11.
5 * 4 = 20
2x + y + 4 + 3 = 20, 2x + y = 13
Hence, x = 2 and y = 9.
f(x) = 6x2 + 2 what is the domain
Answer:
All Real Numbers
Step-by-step explanation:
[tex]f(x)=6x^2+2[/tex]
To find the domain of a quadratic function, we can make a table.
x y f(x)=6x^2+2
-1 8 6(-1)^2+2
0 2 6(0)^2+2
1 8 6(1)^2+2
You can keep going and identity that all the x values/ domains are real numbers.
HELP ME!!
The square of the sum of seven times a number and
seven
7(n+7)^2
seven times the number and seven squared
The table shows the relationship between the number of Calories Jacob burns while roller skating and the number of minutes he roller skates,
Minutes Calories Burned
40
200
80
400
120
600
160
800
How many calories will Jacob burn in 1 minute while roller-skating? Enter the answer in the box.
Answer: 5 calories
Step-by-step explanation:
Given the data:
Minute ____calorie burned
40__________200
80__________400
120_________ 600
160_________ 800
We need to find the rate at which calorie is burned :
Rate of burn = (Number of calorie burned/ time taken)
Take any of the points :
Time = 80 ; calorie burned = 400
Rate of burn = (400 calorie / 80 minute )
Rate of burn = 5calorie/minute
If time = 1 minute ; rate = 5
Calorie burned in 1 minute :
Amount of calorie = rate of burn × time taken
Amount burned in 1 minute = 5 × 1 = 5 calories
Hence, amount of calorie burned in one minute is 5 calories.
Answer:
5
Step-by-step explanation:
Maps Testing I have done it.
PLEASE HELP!! WILL GIVE BRAINLIEST TO THE FIRST PERSON
Answer:
x=10
Step-by-step explanation:
I believe if you're trying to solve for x and the two lines are the same length, you just have to set the values equal to each other and solve.
Step-by-step explanation:
12 =x+3
x=9
3x -11
3(9) - 11
27-11
=16
Convert 2.38 km to dm.
Answer:
Step-by-step explanation:
2.38 km x 10^4 = 23,800 decimeters
what value of x makes the equation 7x-2(3x+1)=4x-(3-x)-19 true?
Answer:
X=5
Step-by-step explanation:
Write 1/10 as a decimal number
Answer:
0.1
Step-by-step explanation:
hope this helps
9x+3x-10=3(3x+x) identity or solution
There is no solution. The output of this equation is equal to -10 = 0 which is obviously not true.
10- (6m + 7) what is this
Answer:
3 + 6m
Step-by-step explanation:
If you are just trying to get a simplified term, then follow these steps.
10 - (6m + 7)
10 - 7 + 6m
3 + 6m
Determine the interval on which this function is constant. (1 point)
(-2,2)
Just took the quiz, this is 100% correct.
Please mark brainliest! :)
The constant function is - f(x) = -2 in the interval x ∈ [-2, 4].
We have a graph of a function f(x).
We have to determine the interval on which this function is constant.
Define Constant function.A constant function is a function having the same value of range for different values of the domain. Mathematically -
y = f(x) = k [ k is constant ]
According to the question, we can see from the graph that -
The value of f(x) is constant, and is equal to f(x) = -2 between the points -2 and 4 on the x - axis.
The function in this interval can be given by -
f(x) = -2 where x ∈ [-2, 4].
Hence, the constant function is - f(x) = -2 in the interval x ∈ [-2, 4].
To learn more about constant functions, visit the link below-
https://brainly.com/question/19595873
#SPJ2