The probability with the condition of the spinner landing on a number less than 3 is 0.2
What is a conditional probability?A conditional probability is a probability of an event occuring with a condition that another event had previously occurred. The event in the question is spinning the spinner once while the condition is that the number landed on is less than 3.
The spinner has 10 equal sections numbered 1 through 10.
The conditional probability of landing on a number less than 3 is the same as the probability of landing on either 1 or 2.
There are two sections out of ten that corresponds to numbers less than 3. The probability of landing on a number less than 3 is therefore;
P(Landing on a number less than 3) = P(Landing on 1) + P(Landing on 2)
P((Landing on 1) = 1/10
P(Landing on 2) = 1/10
P(Landing on 1) + P(Landing on 2) = (1/10) + (1/10) = 2/10
(1/10) + (1/10) = 2/10 = 0.2
The probability of landing on a number less than 3 is 0.2
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Convert 5.6 liters to milliliter
5,600 ml
560 ml
0.056 ml
0.0056
find the equation of a line containing the given point and slope (10,5); m=9/20
The value of y is inversely proportional to the value of x. When y=40, x=5. What is the value of y when x=8
Answer: 64
Step-by-step explanation:
i put it into math-way
Susan invests
2
times as much money at
8%
as she does at
4%
. If her total interest after
1
year is
$800
, how much does she have invested at each rate?
Final answer:
To find how much Susan has invested at each rate when she invests 2 times as much money at 8% as she does at 4%, create and solve an equation based on the total interest earned.
Explanation:
Susan has invested $x at 4% interest rate and $2x at 8% interest rate.
Given that the total interest after 1 year is $800, we can create the equation: $x(0.04) + $2x(0.08) = $800.
Solving the equation, we find that Susan has $3,000 invested at 4% and $6,000 invested at 8%.
What is 4.76 hours converted to min and sec
In a certain grocery store, strawberries cost $5.92 per pound ( 5.92 dollars/lb ). what is the cost per ounce?
Answer:
$,37 dollars per ounce of strawberries
Step-by-step explanation:
We have to remember that there are 16 ounces in one pound so in order to calculate the cost per ounce, we just divide the cost per pound by 16:
5,92/16= ,37
SO the cost per ounce of strawberries when the price per pound is 5,92 dollars will be 0,37 dollars.
Angle BCA is congruent to angle DAC, and angle BAC is congruent to angle DCA by:
the vertical angle theorem.
the alternate interior angles theorem.
the reflexive property.
None of the choices are correct.
Angle BAC is congruent to angle DCA by the alternate interior angles theorem. Option B is correct.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
The pro[perty of parallel lines states that when two parallel lines intersect by the same transversal line the alternate interior angle will be equal as also the alternate exterior angles.
So,
Line BC and AB are parallel lines and AC is a transversal line,
So,
Angle BAC = angle DCA
Thus, angle BAC is congruent to angle DCA by the alternate interior angles theorem. Option B is correct.
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If the parent function f(x) = (2x − 3)3 is transformed to g(x) = (-2x + 3)3, which type of transformation occurs?
The Greasy Grab Bag claims that customers can make 20 different meal combinations from the menu items. If the Greasy Grab Bag has 4 sandwiches, 3 sides, and 2 drinks, which of the following is correct?
The correct number of different meal combinations that customers can make from the menu items at the Greasy Grab Bag is 24.
To determine the number of different meal combinations, we need to consider that each meal consists of one sandwich, one side, and one drink. Given that there are 4 sandwiches, 3 sides, and 2 drinks to choose from, we can calculate the total number of combinations by multiplying the number of choices for each category together.
The number of sandwich choices is 4, the number of side choices is 3, and the number of drink choices is 2. Therefore, the total number of meal combinations is calculated as follows:
Total combinations = Number of sandwich choices — Number of side choices — Number of drink choices
Total combinations = [tex]$4 \times 3 \times 2$[/tex]
Now, let's calculate the total number of combinations:
Total combinations =[tex]$4 \times 3 \times 2 = 12 \times 2 = 24$[/tex]
Thus, there are 24 different meal combinations that customers can make, which means the Greasy Grab Bag's claim of 20 different meal combinations is incorrect. The correct number is 24.
A jacket is on sale for $15 off. As part of a one-day sale, a 20% discount is applied to all purchases. If x represents the original price of the jacket, which expression represents the final price of the jacket during this sale? 0.2x – 3 0.8x – 12 0.8x – 15 0.2x – 15
0.8x – 12
Explanation:The sale price is (x-15). After the 20% discount, the final price is 0.80 times the sale price, so is ...
... final price = 0.80×(x -15) = 0.80x -12
Answer:
The correct option is B.
Step-by-step explanation:
Let the original price of the jacket be x.
A jacket is on sale for $15 off. As part of a one-day sale, a 20% discount is applied to all purchases.
The price of jacket after $15 off is [tex]x-15[/tex].
Then 20% discount is applied, so the final price of the jacket is
[tex]P=(x-15)(1-\frac{20}{100})[/tex]
[tex]P=(x-15)(1-0.2)[/tex]
[tex]P=(x-15)(0.8)[/tex]
[tex]P=0.8x-12[/tex]
The final price of the jacket during this sale is 0.8x-12. Therefore the correct option is B.
Explain why we need more than one digit to express certain quantities
A motorboat takes 3 hours to travel 108 km going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
If f(x)=2x^2sqrt(x-2), complete the following statement f(6)
The value of f(6) in the function [tex]f(x)=2x^2 + 5\sqrt{x-2}[/tex] is 82
How to determine the function value?The function is given as:
[tex]f(x)=2x^2 + 5\sqrt{x-2}[/tex]
Substitute 6 for x
[tex]f(6)=2 * 6^2 + 5\sqrt{6-2}[/tex]
Evaluate the difference
[tex]f(6)=2 * 6^2 + 5\sqrt{4}[/tex]
Evaluate the exponents
f(6)=2 * 36 + 5 * 2
Evaluate the sum of products
f(6) = 82
Hence, the value of f(6) in the function [tex]f(x)=2x^2 + 5\sqrt{x-2}[/tex] is 82
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53 ℃ below zero degrees
What is after 100,99,07,94,90
for f(x) = x^3-7X^2+8x+16 find f(10) using synthetic division
Convert the measurement as indicated.
26ft= _ yd _ ft
what is the value of x in the equation 5(4x-10)+10x=4(2x-3)+2(x-4) ?
-7/4
-1/4
3/20
3/2
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Here, the given expression is,
[tex]5(4x-10)+10x=4(2x-3)+2(x-4)[/tex]
By distributive property,
[tex]20x - 50 + 10x = 8x - 12 + 2x - 8[/tex]
By combining like terms,
[tex]30x -50=10x-20[/tex]
Adding 50 on both sides,
[tex]30x=10x-20+50[/tex]
[tex]30x = 10x + 30[/tex]
Subtracting 10x on both sides,
[tex]20x = 30[/tex]
Divide both sides by 20,.
[tex]x=\frac{3}{2}[/tex]
Hence, LAST option is correct.
Please help quick !!
Write an equation of a line that is perpendicular to the given line and that passes through the given point.
-x + 5y= 14; (-5, -2)
A. Y=-5x-27
B.y=-1/5x-27
C. Y=-1/5x-15
D. Y=5x-27
When Sharon began shopping this morning, she had $40.00. She purchased five paperback books and had lunch. The books were all the same price, and lunch cost $3.25. She now has $7.00 left over. What was the price of each of the books? A. $5.95 B. $6.60 C. $7.35 D. $8.75
If 12 bumper stickers cost $8.64, then how much do 18 cost
The proportion is solved and the cost of 18 bumper stickers is $ 12.96.
Given data:
To find out how much 18 bumper stickers cost, use a proportion since the cost of bumper stickers is directly proportional to the number of stickers.
Cost of 12 bumper stickers / Number of 12 bumper stickers = Cost of 18 bumper stickers / Number of 18 bumper stickers
On simplifying the proportion:
$8.64 / 12 = x / 18
Now, solve for x (the cost of 18 bumper stickers):
x = ($8.64 / 12) * 18
x = $12.96
Hence, 18 bumper stickers cost $12.96.
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The leader of the group brought 8.03 ounces of trail mix. The hikers only ate 5.26 ounces of the trail mix. How much trail mix was left?
What is the next number in the series? 71 62 53 44 35 ?
Calculator Reference A mountaineer climbed 1,000 feet at a rate of x feet per hour. He climbed an additional 5,000 feet at a different rate. This rate was 10 feet per hour less than twice the first rate. Which expression represents the number of hours the mountaineer climbed?
Answer: The expression that represents the number of hours the mountaineer climbed is given by
[tex]\dfrac{1000}{x}+\dfrac{2500}{x-5}[/tex]
Step-by-step explanation:
Since we have given that
Distance covered by mountaineer = 1000 feet
Speed at which he climbed = x feet per hour
Time taken by him would be
[tex]\dfrac{1000}{x}[/tex]
Additional distance covered by him = 5000 feet
Speed at which he climbed this time = 2x-10
So, Time taken is given by
[tex]\dfrac{5000}{2x-10}\\\\\\=\dfrac{5000}{2(x-5)}\\\\\\=\dfrac{2500}{x-5}[/tex]
Hence, the expression that represents the number of hours the mountaineer climbed is given by
[tex]\dfrac{1000}{x}+\dfrac{2500}{x-5}[/tex]
If f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f – g)(x).
Answer: The required value is
[tex](f-g)(x)=x^2+8.[/tex]
Step-by-step explanation: The given functions are:
[tex]f(x)=2x^2+1,\\\\g(x)=x^2-7.[/tex]
We are given to find the value of [tex](f-g)(x).[/tex]
We know that, if s(x) and t(x) are any two functions of a variable x, then we have
[tex](s-t)(x)=s(x)-t(x).[/tex]
Therefore, we have
[tex](f-g)(x)\\\\=f(x)-g(x)\\\\=(2x^2+1)-(x^2-7)\\\\=2x^2+1-x^2+7\\\\=x^2+8.[/tex]
Thus, the required value is
[tex](f-g)(x)=x^2+8.[/tex]
Answer:
3x2 - 6 its the answer
Consider a line l with positive x- and y- intercepts. Suppose l makes an angle of with the positive x- axis. What is the slope of l in terms of theta?
Each canvas bag will hold exactly 5 pounds of kings tomatoes. How many bags will be necessary to hold 5 kg worth of these same tomatoes? (1 kg = 2.25 pounds)
1 kg = 2.25 pounds
5*2.25 = 11.25 pounds
11.25/5 = 2.25 bags
so you would need 3 bags
PLEASE HELP!!!!!! The line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?
A) -2
B) -1
C) 2
What is the integral of 1/x?
Final answer:
The integral of 1/x is the natural logarithm of the absolute value of x, plus an integration constant C. This expression is central to calculations in many areas of science and mathematics.
Explanation:
The integral of 1/x is known as the natural logarithm of the absolute value of x, plus a constant of integration, commonly referred to as C. In mathematical terms, this is expressed as:
[tex]\( \int \frac{1}{x} dx = \ln(|x|) + C \)[/tex]
The natural logarithm arises due to the fundamental properties of the integral, and it's significant as it appears frequently across various fields of science and mathematics. While the basic form of integration of 1/x involves the natural logarithm, in applied examples like the cases mentioned above, where one works with additional functions or domain restrictions, the integral may lead to more complex expressions or even vanish under certain symmetry conditions.