Answer:
2/5
Step-by-step explanation:
it is 2/5
Probability = 12/25 or 48%.
To find the probability that a number chosen at random from the positive, even integers from 2 to 50 is divisible by 3 or 8, we need to count the number of even integers within this range that are divisible by 3 or 8, and then divide this count by the total number of even integers in the range.
First, let's find how many even integers between 2 and 50 are divisible by 3.
The even integers divisible by 3 in this range are: 6, 12, 18, 24, 30, 36, 42, 48.
Count: 8
Now, let's find how many even integers between 2 and 50 are divisible by 8.
The even integers divisible by 8 in this range are: 8, 16, 24, 32, 40, 48.
Count: 6
Notice that 24 and 48 are counted twice because they are divisible by both 3 and 8. We only want to count them once.
So, the total count of even integers between 2 and 50 that are divisible by 3 or 8 is 8 (from being divisible by 3) + 6 (from being divisible by 8) - 2 (counting 24 and 48 once) = 12.
Now, we calculate the total number of even integers between 2 and 50:
Total even integers between 2 and 50 = (50 - 2) / 2 + 1 = 25
Now, we can calculate the probability:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
= 12 / 25
= 0.48
So, the probability that a number chosen at random from the positive, even integers from 2 to 50 is divisible by 3 or 8 is 0.48.
HELP PLEASE! what is the inverse of the function f(x)=2x+1
Answer:
The inverse function is a) h(x) = 1/2x - 1/2
Step-by-step explanation:
To find the inverse of any function, start by switching the x and f(x) values.
f(x) = 2x + 1
x = 2f(x) + 1
Now solve for the new f(x). The result will be your inverse function.
x = 2f(x) + 1
x - 1 = 2f(x)
(x - 1)/2 = f(x)
h(x) = 1/2x - 1/2
The inverse of the function f(x)=2x+1 is found by switching x and y in the function to create a new equation, rearranging that equation to solve for y, resulting in the inverse f^-1(x)=(x-1)/2.
Explanation:
To find the inverse of the function f(x)=2x+1, you first switch the roles of x and y in the function.
Instead of f(x)=2x+1, you would write it as x=2y+1. Then, you solve for y in this new equation. To do that, you first subtract 1 from both sides of the equation, giving you x-1=2y. Then, you divide each side by 2: y=(x-1)/2.So, the inverse of the function is f^-1(x)=(x-1)/2.
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Find x in the given figures.
Answer:
[tex]\large\boxed{X=\sqrt{12}\ in=2\sqrt3\ in}[/tex]
Step-by-step explanation:
ΔADC and ΔCBD are similar. Therefore the corresponding sides are in proportion:
[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]
We have
AD = 2, CD = X, DB = 6.
Substitute:
[tex]\dfrac{2}{X}=\dfrac{X}{6}[/tex] cross multiply
[tex]X^2=(2)(6)\\\\X^2=12\to X+\sqrt{12}[/tex]
[tex]\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3[/tex]
Please help me with number 7
Answer:
Caleb arrived first 2 hours before Alyssa
Step-by-step explanation:
To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.
Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.
Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.
Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.
He arrived in 210/42 = 5 hours.
Alyssa arrived in 210/30 = 7 hours.
He arrived 2 hours before her.
The cost, in dollars, of a single-story home can be approximated using the formula C- kiw, where i is the approximate length of the home and w is the approximate width of the home. Find the units for the coefficient k.
Its dollar per square foot
The unit for the coefficient 'k' in the equation 'C= kiw', given that 'C' is the cost in dollars and 'i' and 'w' are the dimensions of the home in an area-unit such as feet or meters, should be dollars per square foot or dollars per square meter.
Explanation:The question is asking to find the unit for the coefficient k in the equation 'C= kiw' where 'C' represents the cost of a single-story home, 'i' is the length of the home, and 'w' is the width of the home. In this equation, the cost 'C' is in dollars, and the length 'i' and width 'w' are likely in feet or meters (units of length).
Therefore, the coefficient 'k' must have the units that make the equation dimensionally consistent. In other words, the units of 'k' must be such that when multiplied by area ('iw' is an area), the result is cost. So, the unit for 'k' in this context would be dollars per square foot or dollars per square meter, depending on the units used for 'i' and 'w'.
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Jeanette purchased a concert ticket on a website. The original price of the ticket was $75.00. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeannette’s ticket was less than the original price by what percent?
Answer: her price is 70%
Step-by-step explanation:
show that 9a + 3b has a greater value than 3x + 4y (photo provided)
[tex]3a + b = 7\Leftrightarrow 3(3a + b) = 3 \times 7\Leftrightarrow 9a + 3b = 21 \: (1)\\ 6x + 8y = 40\Leftrightarrow \frac{2(3x + 4y)}{2} = \frac{40}{2} \Leftrightarrow 3x + 4y = 20 \: (2) \\ (1),(2)\Rightarrow 9a + 3b > 3x + 4y[/tex]
[tex]\bf \begin{array}{lll|llll} 3a+b&=&7&&6x+8y&=&40\\&&&&&\\ 3(3a+b)&=&3(7)&&\frac{1}{2}(6x+8y)&=&\frac{1}{2}(40)\\&&&&&\\ 9a+3b&=&21&&\frac{6x}{2}+\frac{8y}{2}&=&\frac{40}{2}\\&&&&&\\ 9a+3b&=&21&&3x+4y&=&20 \end{array}\\\\ ~\hspace{7.5em}21>20[/tex]
Matteo is centering a poster on the back of a door that is 32 inches wide. The poster is 18 1/2 inches wide. How far from the edge of the door should Matteo hang the poster?
Answer:
2929 feet away from the door
Step-by-step explanation:
Drag steps and expressions into place to explain and show how to evaluate a • b for a = 5 and b = 8.
To evaluate the expression a • b for a = 5 and b = 8, you multiply the values of a and b. So, a • b = 5 • 8 = 40.
Explanation:The question is asking to evaluate the expression a • b where a = 5 and b = 8. The dot (•) in the expression a • b signifies multiplication in mathematics. To evaluate this expression for a = 5 and b = 8, you simply multiply the given values of a and b. So, the calculation is 5 × 8.
Therefore, a • b = 5 • 8 = 40 when a = 5 and b = 8.
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The dot product of vectors a = 5 and b = 8 is calculated by multiplying the corresponding components of each vector and summing the results. Therefore, a • b = (5 * 8) = 40.
Evaluating the Dot Product of a and b
Given: a = 5 and b = 8
Objective: Determine the dot product of vectors a and b, denoted as a • b.
Steps:
Express the dot product formula: The dot product of two vectors a and b is defined as:
a • b = ∑(aᵢ * bᵢ)
where:
aᵢ and bᵢ represent the i-th components of vectors a and b, respectively
the summation sign (∑) indicates that the product of corresponding components is calculated for each dimension and then summed
Substitute the given values: Substituting the values of a and b into the formula:
a • b = (5 * 8)
Calculate the product: Performing the multiplication:
a • b = 40
Answer:
The dot product of vectors a and b, denoted as a • b, is equal to 40.
The sum of a number, n, and 8 is multiplied by -4, and the result is 12. What is the number?
Answer: -11
Step-by-step explanation:
(n+8)* -4= 12
-8 -8
n* -4= 12
/-4 /-4
n= -11
Based on the calculations, the unknown number (n) is equal to -11.
How to find an unknown number?In this exercise, you're required to find an unknown number (n). Thus, we would translate the word problem into an algebraic expression as follows:
The sum of a number (n) and 8:
n + 8
Multiplying by -4, we have:
(n + 8) × -4 = 12
-4n - 32 = 12
-4n = 12 + 32
-4n = 44
n = -11.
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10 Points! What is answer!
Answer:
1
Step-by-step explanation:
any thing with a 0 over it is equal to 1
5*1=5 the answer is five. Hope That helped will appreciate a Brainly
PLEASE HELP I'M TIMED
Really hope i'm right
1st row
the first one is length less than 10
one next to it is width greater than 5
next to that is length greater than 10
2nd row
the first one is length greater than 10
one next to that is width less than 5
next to that is width greater than 5
3rd row
first one is width less than 5
and last is length less than 10
Expanded expression of -12(4x+8)
Answer:
-48x-96
Step-by-step explanation:
Split the angle using the sum and difference formulas and simplify.
connor went to new york for vacation. he spent 3 nights at a hotel and rented a car for 4 days. jillian stayed at the same hotel, but spent 4 nights and rented a car for 5days from the same company. if connor spent $675 and jillian spent $875 how much did one night at the hotel cost ?
A.$75
B.$100
C.$125
D.$150
Answer : C: $125.
Hopefully that helps you ! have a good day !
On a piece of paper , graph y>2x-3. Then determine which answer choice matches the graph you drew
Answer:
C
Step-by-step explanation:
Since it is greater than or equal to, the graph line is a solid line.
Then, since we know that it is greater than, we know that we can shade above the graph line.
To check this, all you have to do is choose a random point in the shaded region and plug it in the equation. If it checks out, it is correct.
Answer:
Graph represented by option C is the correct choice.
Step-by-step explanation:
We are asked to graph an inequality [tex]y\geq2x-3[/tex].
The boundary line of our given inequality will be a solid line as we have greater than or equal to [tex]\geq[/tex] sign.
The boundary line of our given inequality would be [tex]y=2x-3[/tex].
Now, we will test point (0,0) to shade in the correct region as:
[tex]0\geq2(0)-3[/tex]
[tex]0\geq0-3[/tex]
[tex]0\geq-3[/tex]
Since the point (0,0) is a solution for our given inequality, therefore, the shaded area of our inequality will include point (0,0).
Please find the attachment.
Given the data presented in the bar graph, which fruit represents 10% of the fruit for the people surveyed? A) Apple B) Banana C) Kiwifruit D) Orange
Answer: B) Banana
Step-by-step explanation:
Add the amount of people who voted for each fruit to get the total amount of people. 35+30+15+25+40+5 = 150.
Now, just find 10% of 150 by multiplying 150 by .10
10% of 150 is 15, 15 people that were surveyed chose banana. :)
The Banana fruit represents 10% of the fruit for the people surveyed.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
The data presented in the bar graph.
There are total 150 fruits for the people surveyed.
To find the percent:
Use the percentage formula,
10% of 150,
= 15
Therefore, the fruit is Banana.
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A 50-year-old male purchased a 20-Year Endowment insurance policy at the age of 40.The face value of the policy was $85,000. He asks his insurance agent for a reduced paid up insurance nonforfeiture option. Given the table below and the permanent insurance amount of $48.20 per thousand, determine the reduced paid up insurance value and the annual premium.
Answer:
The reduced paid up insurance value is $47,770 and the annual premium is $4,097
The reduced paid-up insurance value is $6,692.83.
The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would
We have,
To determine the reduced paid-up insurance value and the annual premium,
We need to use the information given and the following formulae:
The cash value of a policy is the amount of money that the policyholder would receive if they surrendered the policy before it matured.
The net amount at risk is the difference between the face value of the policy and the cash value.
The present value of a policy is the sum of the net amount at risk and the present value of the future premiums.
We are given that:
The policy is a 20-Year Endowment insurance policy, purchased when the policyholder was 40 years old.
The face value of the policy is $85,000.
The policyholder is now 50 years old.
The permanent insurance amount is $48.20 per thousand.
We need to determine the reduced paid-up insurance value and the annual premium.
We can use the following steps to determine the reduced paid-up insurance value and the annual premium:
Step 1: Calculate the cash value of the policy
The cash value of the policy can be calculated using the following formula:
Cash value = (Present value of future endowment benefits) - (Present value of future premiums)
We are given that the policy is a 20-Year Endowment policy, so the endowment benefit is $85,000. We can use the following formula to calculate the present value of the future endowment benefits:
Present value of endowment benefits = Endowment benefit / (1 + i)n
where i is the interest rate and n is the number of years.
Since the policyholder is 50 years old and the policy has 10 years left, we can assume an interest rate of 4% and calculate the present value of the endowment benefits as follows:
Present value of endowment benefits = $85,000 / (1 + 0.04)^10 = $48,598.20
We can calculate the present value of future premiums using the following formula:
Present value of future premiums = Net amount at risk / (Present value of an annuity due of $1 for n years, at i%)
where n is the number of years and i is the interest rate.
Since the policyholder has paid premiums for 10 years, there are 10 years left to pay. Using the same interest rate of 4%, we can calculate the present value of an annuity due of $1 for 10 years as follows:
Present value of an annuity due of $1 for 10 years, at 4% = 7.3601
We can now calculate the net amount at risk as follows:
Net amount at risk = Face value - Cash value
Face value = $85,000
Cash value = $48,598.20 + (Annual premium x Present value of an annuity due of $1 for 10 years, at 4%)
Net amount at risk = $85,000 - $48,598.20 - (Annual premium x 7.3601)
Step 2: Calculate the reduced paid-up insurance value
The reduced paid up insurance value is the amount of insurance that the policyholder can receive without paying any more premiums. It can be calculated as follows:
Reduced paid up insurance value = Cash value / Permanent insurance amount
Using the cash value calculated in Step 1 and the permanent insurance amount of $48.20 per thousand, we can calculate the reduced paid up insurance value as follows:
Reduced paid up insurance value.
= $48,598.20 / ($48.20 x 85)
= $6,692.83
Step 3: Calculate the annual premium
The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would
Thus,
The reduced paid-up insurance value is $6,692.83.
The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would
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calculate the radius of a circle if it's area is 153.9
Answer:~ 967
Step-by-step explanation:
How many square inches of space does this triangle cover?
Answer:
8 square inches
Step-by-step explanation:
The area is the number of square inches a shape covers. To find the area of a triangle use the formula A = 1/2 b*h. Here b = 4 and h = 4.
So the area is A = 1/2 4*4 = 8 square inches
what is the function equation of the graph shown below?
Answer:
[tex]p(x)=\sqrt[3]{2-x}[/tex]
Step-by-step explanation:
we know that
The parent function of the graph is equal to
[tex]f(x)=\sqrt[3]{-x}[/tex]
The rule of the translation is equal to
[tex](x,y)-----> (x+2,y)[/tex]
The translation is 2 units to the right
so
applying the transformation
f(x)------> p(x)
The function of the graph is equal to
[tex]p(x)=\sqrt[3]{-(x-2)}[/tex]
[tex]p(x)=\sqrt[3]{2-x}[/tex]
What is the first step needed to solve 2/5 x -6= -16 ?
Subtract 16 from both sides
Add 6 to both sides
Divide both sides by 5
Multiply both sides by 2
What professionals most directly use geometry
Answer:
Astronomers
Step-by-step explanation:
Answer:
astronomers
Step-by-step explanation:
A large bag of sugar weighs 23.18 pounds. Jeff uses all the sugar to make candy and packages the candy into 57 identical boxes. About how much sugar will be in each box
➷ Divide the total weight of sugar by the number of boxes:
23.18 / 57 = 0.406666
There would be approximately 0.407 pounds of sugar per box
✽➶ Hope This Helps You!
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Answer:
23.18 / 57 = 0.406666
0.407 (to 3 decimal places) pounds of sugar per box
Step-by-step explanation:
Consider the graph of the quadratic function y = –2(x + 2)2 – 1 with no real zeros. What number can be added to the right side of the equation to change it to a function with one real root?
Answer:
The number is +1
Step-by-step explanation:
we have
[tex]y=-2(x+2)^2-1[/tex]
This is the equation of a vertical parabola with vertex at point (-2,-1)
The function has no real zeros
we know that
If the number +1 is added to the equation on the right side
then
[tex]y=-2(x+2)^2-1+1[/tex] -------> [tex]y=-2(x+2)^2[/tex]
Is a translation one unit up
The vertex of the parabola will be the point (-2,0) and the function will have one real root
see the attached figure to better understand the problem
Answer:
1
Step-by-step explanation:
Rolando tossed a coin 4 times
Which of the following is a list of all the possible outcomes with 2 or 3 heads?
A. Y
B. Z
C. W
D. X
The possible outcomes of tossing a coin 4 times with 2 or 3 heads can be represented using a tree diagram.
Explanation:The possible outcomes of tossing a coin 4 times can be represented using a tree diagram. Each toss has 2 possible outcomes, either a head (H) or a tail (T). Starting with the first toss, there are 2 branches representing each possible outcome. For the second toss, each branch splits into 2 more branches representing the possible outcomes of the second toss, and so on. To find the outcomes with 2 or 3 heads, we need to count the paths on the tree diagram where there are 2 or 3 branches labeled as heads (H).
Let's label the paths as follows:
Y: HHTT
Z: HTHT
W: HTTH
X: TTHH
These are the possible outcomes with 2 or 3 heads. Therefore, the answer is option B. Z.
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What is the monthly interest rate corresponding to 24% apr
Answer:
To calculate the monthly accrued interest on a loan or investment, you first need to determine the monthly interest rate by dividing the annual interest rate by 12. Next, divide this amount by 100 to convert from a percentage to a decimal. For example, 1% becomes 0.01.
Step-by-step explanation:
The area of Texas is about half the area of Alaska. Alaska has an area of approximately 5.6 × 10.5 square miles. What is the approximate area of Texas?
Answer:
Step-by-step explanation:5.6 times 10.5=58.8sq miles, divide by 2 because it is half, so 29.4 is the approximate of area thing
Answer:
The answer is 29.4 miles squared.
Consider circle H with a 5 centimeter radius. If the length of major arc RST is
25
3
π, what is the measure of ∠RST?
[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\[-0.5em] \hrulefill\\ r=5\\ s=\frac{25\pi }{3} \end{cases}\implies \cfrac{25\pi }{3}=5\theta \implies \cfrac{25\pi }{15}=\theta \implies \cfrac{5\pi }{3}=\theta[/tex]
Answer:
30
Step-by-step explanation:
PLEASE HELP !! I will give brainliest to whoever answers !!
Answer:
90 cm^2
Step-by-step explanation:
The scale factor between triangle ABC and triangle PQR is 4:6 or 2:3
The scale factor is 2/3
When relating areas, we use the scale factor squared
Area of ABC = scale factor squared * Area of PQR
40 = (2/3) ^2 Area of PQR
40 =4/9 Area of PQR
Multiply each side by 9/4
40 *9/4 = 9/4 *4/9 * Area of PQR
90 = Area of PQR
When we work with lengths of similar figures, we multiply by the scale factor.
When we work with areas of similar figures, we have a length and a width, so we are really multiplying by the scale factor two times, or the scale factor squared.
A = l*w
A = SF (l) * SF (w)
= SF ^2 lw
So the area of the new figure is the scale factor squared times the area of the old figure.
A new = SF^2 A old
To get from the old figure to the new figure we multiply by 6/4 or 3/2
A new = (3/2)^2 (40)
A new = 9/4 * 40
= 90
A cereal company finds that the more it spends on advertising, the more boxes of cereal it sells. Which of the following graphs could represent the sales of the cereal company?
A. Graph Y
B. Graph X
C. Graph Z
D. Graph W
Hello there!
_________________________________
In this problem, it says the more it advertises, the more it sells. In this case then, C. Graph Z, would be your answer since it shows the increase of both
_________________________________
I hope I helped
Brainlyiest?
X8lue83rryX
Answer:
The correct answer option is C. Graph Z.
Step-by-step explanation:
We are given that a cereal company finds that the more it spends on advertising, the more boxes of cereal it sells.
It means that the advertising is directly proportional to the number of boxes of cereal sold.
Therefore, the sales of the cereal company can be represented by graph Z where the value of y increases as the value of x increases.
which value could be the length of the missing side of the triangle?
A. 5
B. 7
C.17
D.12
The correct answer is B.
Hope this helps.