Answer:
22/45
Step-by-step explanation:
Let A be the event of drawing a multiple of 2,
So,
p(A)= 23/45
Now, let A' be the opposite(complementary) event which means not drawing a multiple of 2
From the properties of probability, the sum of an event’s probability and its opposite(complementary) event’s probability is equal to 1.
p(A)+p(A')=1
We have to find the probability of not drawing a multiple of two i.e. p(A')
p(A')=1-p(A)
=1 - 23/45
= (45-23)/45
=22/45
So the probability of not drawing a multiple of 2 from the hat is 22/45.
Final answer:
The probability of not drawing a multiple of two from the numbers 30 to 74, given the probability of drawing a multiple of two is 23/45, is computed by subtracting 23/45 from 1, resulting in a probability of 22/45.
Explanation:
The probability of not drawing a multiple of two is simply calculated by subtracting the probability of drawing a multiple of two from 1, as these probabilities are complementary.
Given that the probability of drawing a multiple of 2 is 23/45, we can find the probability of not drawing a multiple of two by doing the following:
1 - (probability of drawing a multiple of 2) = 1 - (23/45) = 22/45.
Therefore, the probability of not drawing a multiple of two is 22/45.
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation). input -1 0 -1 -8 9 output 0 1 2 4 8 function relation neither
Answer:
Relation.
Step-by-step explanation:
This is a relation but not a function. The input -1 maps to both 0 and 2; this is a one-to-many relation so it is not a function. Functions are either one-to-one or many-to-one.
Answer:
Relation cause its not a function
Step-by-step explanation:
This is a relation but not a function.
A 1/2 yard of ribbon is needed for a craft project. How much ribbon will remain from a piece that measures 7/8 yard?
To find out how much ribbon is left after using 1/2 yard from a piece that is 7/8 yard long, convert 1/2 yard to 4/8 and subtract from 7/8, leaving you with 3/8 yard of ribbon remaining.
To determine how much ribbon will remain after using 1/2 yard for a craft project from a piece that measures 7/8 yard, you need to subtract the amount used from the total length you have. Since we are working in yards, ensure both amounts are in the same units. Here are the steps to find the remaining ribbon:
Start with the total length of ribbon: 7/8 yard.
Subtract the length of ribbon used for the project: 1/2 yard.
Convert 1/2 yard to an equivalent fraction with a denominator of 8, which is 4/8 yard.
Subtract 4/8 yard from 7/8 yard to find the remaining length.
7/8 yard - 4/8 yard = 3/8 yard remaining.
So, after using 1/2 yard of ribbon for a craft project, you will have 3/8 yard of ribbon left from the original 7/8 yard piece.
What is the diameter of a circle that has 50 square meters?
Answer: 7.97 meters
Step-by-step explanation:
You must use the formula for calculate the area of a circle, which is:
[tex]A=r^2\pi[/tex]
Where r is the radius of the circle.
The diameter of the circle is:
[tex]D=2r[/tex]
Solve for r from [tex]D=2r[/tex]
[tex]r=\frac{D}{2}[/tex]
Substitute the area and [tex]r=\frac{D}{2}[/tex] into the first equation and solve for the diameter. Then you obtain:
[tex]50m^2=(\frac{D}{2})^2\pi\\\\50m^2=\frac{D^2}{4}\pi\\\\D=\sqrt{\frac{4*50m^2}{\pi}}\\D=7.97m[/tex]
Answer:
The diameter of a circle that has 50 square meters = 7.98 m
Step-by-step explanation:
Formula
Area of circle = πr²
Where 'r' is the radius of circle
Diameter of circle d = 2r
It is given that area of circle = 50 square meters
To find the radius of circle
we have,
Area of circle = πr² = 50
r² = 50/π = 50/3.14 = 15.924
r = √15.924 = 3.99
To find the diameter of circle
Diameter = 2r = 2 * 3.39 = 7.98 m
Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.What does the proportionality constant represent in this situation?
Answer:
The amount of time it takes for her to make 1 bracelet.
Step-by-step explanation:
You can set up an equation as 3k = 15, and then solve it by dividing by 3 on both sides, getting an answer of 5.
Answer:
Step-by-step explanation:
The proportionality constant of 5 minutes per bracelet means it takes Olivia 5 minutes to make 1 bracelet.
(236 + 542) + N = 863
➷ 236 + 542 = 778
778 + N = 863
Subtract 778 from both sides:
N = 85
✽➶ Hope This Helps You!
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➶ Have A Great Day ^-^
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Answer:
85
Step-by-step explanation:
(236+542)+N=863 add the parenthesis first which gives you 778 subtract 778 by 863 which gives you 85 therefore your answer is 85
Which equation can be used to find the value of x in this figure. I’m so stumped but I think it is c
Answer:
[tex]106\°+x=180\°[/tex]
Step-by-step explanation:
Observing the figure
we know that
[tex]106\°+x=180\°[/tex] ----> by supplementary angles
Solve for x
[tex]x=180\°-106\°=74\°[/tex]
Find the area of the unshaded portion of this figure. The figures shown below are a trapezoid and a rhombus. Show your work.
Answer:A-1/2h(b1+b2)
A-1/2*(10.1)*(30.5+21.4)
A-3296.135 i think
Step-by-step explanation:
To find the area of the unshaded portion of a figure containing a trapezoid and a rhombus, calculate the area of each figure first using their respective formulas. Subtract the area of the overlapping (shaded) region from the total to find the area of the unshaded portion.
Explanation:The problem asks to find the area of the unshaded portion of a figure, which includes a trapezoid and a rhombus. Since we don't have the specific values of the sides and heights of each figure, a general approach would be to calculate the area of each figure first, then subtract the area of the shaded (overlapping) region from it.
The formula for the area of a trapezoid is A = 1/2 (a+b)h, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the height. For the rhombus, the formula is A = 1/2 (d1 * d2), where 'd1' and 'd2' are the diagonals.
Assuming you can measure and determine the shaded region, you would compute its area as well and subtract this from the total of the previous two calculations. This would give you the area of the unshaded portion.
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penny and luc have found a treasure chest in the garden. The chest contains 150 gold couns . Penny and luc share the coins between them in the ratio 2:1 . how many gold coins do they each get?
75 coins because you take 150/2 and get 75 coins
Which simple solid looks like a square from above, a triangle from the front, and a triangle from the side?
Answer:
pyramid with square base.
Step-by-step explanation:
We have been given some description about a simple solid which looks like a square from above, a triangle from the front, and a triangle from the side.
Now we need to figure out which solid has above properties.
The answer will be pyramid with square base. Because side walls of pyramid are always in same shape.
Help help help help h
Answer:
-5,120
Step-by-step explanation:
The pattern is increasing by x*2
I would say -100
You would find this out by identifying your 'a' which is the first number of the sequence, in this case it is -5
Then you would find the common ratio. You do that by dividing any two of the numbers after your 'a' For this one I chose to divide -20 by -10 and that gets you 2.
You would multiply those together, getting you -10.
So, from here you would put the term you are trying to find (in this case it is the 11th term) and subtract it by one
11-1=10
Lastly, you would multiply your -10 by 10 and get yourself a -100
Formula: nth term = a1^n-1
Hope this helps :) Sorry if it is kinda confusing...
2x+x-6x combine terms
Answer:
-3x
Step-by-step explanation:
Combine like terms (terms with the same amount of variables). Note that + x = + 1x. First add, then subtract:
2x + x = 3x
3x - 6x = -3x
-3x is your answer.
~
Answer:
6x
Step-by-step explanation:
Raffaello Sanzio’s bank granted him a single-payment loan of $9,650. He agreed to repay the loan in 146 days at an ordinary interest rate of 7.75%. What is the maturity value of the loan?
Answer:c
Step-by-step explanation:
$9953.30
I need help with this question??
Answer:
2d + 8
Step-by-step explanation:
twice the number d = 2 × d = 2d and 8 more means add on 8, that is
2d + 8 ← is the variable expression
(d x 2) + 8
deconstruct it from the end of the sentence- twice the number 'd' and add 8
jorge solves the equation 4x-(x+2)+6
Answer:
Step-by-step explanation:
2x+6
<3
Callie
Answer:
The equation that is solved by George is
=4 x - (x+2) +6
=4 x -x -2 +6-------Using Distributive property of Multiplication with respect to Addition→ a×(b+c)=a×b+a×c
→Adding and subtracting like terms
=3 x+4
What is the difference between arithmatic and geometric sequences
What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
A y=-4.105x+1.560
B. y = 1.560x - 4.105
c. y= -1.560x+ 4.105
d. y = 4.105x – 1 560
Answer: B. y = 1.560x - 4.105*****
Answer:
Option B.
Step-by-step explanation:
The general equation of best fit line is
[tex]y=mx+b[/tex] .... (1)
where, m is slope and b is y-intercept.
[tex]m=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}[/tex]
[tex]b=\overline{y}-b\overline{x}[/tex]
Using the graphing calculator we get
[tex]m=1.56015\approx 1.560[/tex]
[tex]b=-4.10526\approx -4.105[/tex]
Substitute m=1.560 and b=-4.105 in equation (1).
[tex]y=1.560x-4.105[/tex]
The equation of the line of best fit for the following data y = 1.560x - 4.105.
Therefore, the correct option is B.
if the surface area is 6.8ft what is the area in each triangle
1.7 ft2 If the surface area is 6.8 ft2 then 1.7ft2 x 4 =6.8FT2
The area of each Triangle is 1.7 ft².
What is Surface Area?A 3-dimensional solid prism's surface area is determined by the form of its base. A prism's surface area is the total area occupied by the prism's faces. A prism is a flat-faced polyhedron. It lacks curves.
The surface area of a prism is the amount of total space occupied by the prism's flat faces. Determining a prism's surface area entails calculating the total space occupied by all the faces of that particular type of prism or the sum of the areas of all faces (or surfaces) in a 3D plane.
We have
Surface Area = 6.8 ft²
As, the Figure have 4 Triangle.
Then, the Area of each Triangle
= 6.8 / 4
= 1.7 ft²
Thus, the required Surface Area is 1.7 ft².
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Jordan is 53 inches tall. What is his z-score? Jake is 44 inches tall. What is his z-score? Jacob is 49 inches tall. What is his z-score. Photo below of question! Please help
Answer:
The following are each student's z-scores
Jordan = 2
Jake = -2.5
Jacob = 0
Step-by-step explanation:
To find each of these, use the formula given in the picture. The x value will be the student's height. The mu (or funny looking m) will be the mean. And the sigma (the o with a line) is the standard deviation.
Jordan
z = (x - m)/o
z = (53 - 49)/2
z = 4/2
z = 2
Jake
z = (x - m)/o
z = (44 - 49)/2
z = -5/2
z = -2.5
Jacob
z = (x - m)/o
z = (49 - 49)/2
z = 0/2
z = 0
Answer:
The following are each student's z-scores
Jordan = 2
jake = -2.5
Jacob = 0
What is the height of a student whose z-score is 3?
55"
Step-by-step explanation:
Three values on a number line are labeled F, G, and H . Which number line correctly shows the values of F, G, and H?
Answer:
C
Step-by-step explanation:
F must be on -4
H must be on 4 (because it is -f=-(-4)=-1•-4=4)
Answer:
Step-by-step explanation:
the answer is c
The product of a number and 2 is 20 less than the product of the number and -3. What is the number?
x = -4
steps:Let the number = x (set up an equation)
2x = -3x - 20
add 3x to both sides
5x = -20
divide by 5 on both sides
x = -4
The question involves creating and solving an algebraic equation. By interpreting the word problem, we create the equation 2x = -3x - 20. Solving this equation, we find that the number in question is -4.
Explanation:The subject matter here is algebra, which falls under Mathematics. From the question, we can create an algebraic equation to find the number. Since the product of the number and 2 is 20 less than the product of the number and -3, we can write this as 2x = -3x - 20, with 'x' representing the unknown number. Solving this equation for x, we add 3x to both sides, turning the equation into 5x = -20. Dividing both sides by 5, we find that x = -4. So, the number is -4.
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Please answer quickly for me
Answer:
f(x)⁻¹ = x³ + 2
Step-by-step explanation:
Find the inverse of f(x) = ∛(x - 2).
The first step is to let f(x) = y
y = ∛(x - 2)
Then make x the subject of the formula
y³ = [∛(x - 2)]³
y³ = x - 2
x = y³ + 2
∴ f(x)⁻¹ = y³ + 2
Replacing y with x we have.
f(x)⁻¹ = x³ + 2
Mr. Ramierz had $600. He gave 3/5 of it to his wife and spent 3/8 of the remainder. How much did he spend?
Answer:
he spent $135
Step-by-step explanation:
He spent $135
1. 0.6(600)=360
2. 0.375(360)=135
When lines are perpendicular their slopes flip and?
Answer:
Their sign changes.
For this case we have to:
Given two lines:
[tex]y_ {1} = m_ {1} x_ {1} + b_ {1}\\y_ {2} = m_ {2} x_ {2} + b_ {2}[/tex]
By definition, if both lines are perpendicular to each other, then the product of their slopes is -1. That is to say:
[tex]m_ {1} * m_ {2} = - 1[/tex]
ANswer:
The product of the slopes of two perpendicular lines is -1.
In the equation, what is the value of x? −4(x + 4x) = 2(2 − x) + 10 A) − 7/ 9 B) − 9/ 7 C) 7 9 D) 9/ 7 Submit
The solution to the given equation is x = -7/9, after simplifying and solving for x.
Explanation:To simplify the equation -4(x + 4x) = 2(2 - x) + 10, start by combining like terms within the parentheses: -4(5x) = 2(2 - x) + 10. This leads to -20x = 4 - 2x + 10. Further simplifying, you get -20x = 14 - 2x. Now, add 2x to both sides to eliminate the variable on the right, resulting in -18x = 14. To isolate x, divide both sides by -18, yielding x = -14/18, which can be further reduced to x = -7/9. In summary, the equation simplifies to x = -7/9 after a series of steps.
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In similar polygon, corresponding angles should not have equal measures.
True or False
Answer: False
Step-by-step explanation: Similar means the ability for two shapes to be congruent to each other if dilated.
Also, corresponding angles are angles that have the same length. This means that this statement is indeed False.
Which of the following equations describes a relationship of inverse variation between input and out put
Answer:
option (A)
output = constant / input
Step-by-step explanation:
Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.
Equation to describe relationship of inverse variation between input and output will be as following
output ∝ 1 / inputto remove this sign of proportionality
output = k / inputwhere k is a constant
My question is 33 divided by 6789 so yeah and need the steps
33÷6789 or 6789÷33? 33÷6789 would give you a decimal less than 1, 6789÷33 would give you a number greater than 1 possibly with a remainder.
Minerva buys used bicycles, repairs them, and sells them for a profit. She bought a bicycle for $10, repaired it, and sold it for $50. What was the percent increase in the price of the bicycle.
A. 400%
B. 80%
C. 40%
D. 4%
it is an increase of 400%
Final answer:
The percent increase in Minerva's bicycle price is calculated by subtracting the original price from the new price, dividing by the original price, and then multiplying by 100%. The calculation results in a 400% increase.
Explanation:
The percent increase in the price of the bicycle that Minerva bought and sold is calculated using the formula for percent change, which is (New Price - Original Price) / Original Price times 100%. In this case, the original price is $10 and the new price is $50.
To calculate the percent increase:
($50 - $10) / $10 times 100% = $40 / $10 times 100% = 4 times 100% = 400%.
Therefore, the correct answer is 400%, which is option A.
Jeff makes fruit punch using 1 quart of orange juice 2 pints of pineapple juice 8 cups of tropical punch and 8 pints of ginger ale. How many gallons of fruit punch does Jeff make.
Answer:
2 gallons
Step-by-step explanation:
So say we make everything into cups. We know there is 4 cups in a quart and 2 cups in a pint. So if we do the math you are really adding
4 cups + 4 cups + 8 cups + 16 cups
So that would be 32 cups.
We also know there is 16 cups in a gallon. Since we know that then we can do
32 cups ÷ 16 cups
That would be 2 gallons!
Hope this helps!
Final answer:
Jeff makes 2 gallons of fruit punch by converting all the liquid measurements to pints and then summing them up to convert to gallons.
Explanation:
To determine how many gallons of fruit punch Jeff makes, we need to convert all the measurements to the same unit and then add them together. Here are the conversions we'll use:
1 quart = 2 pints
1 pint = 2 cups
1 gallon = 4 quarts
1 gallon = 8 pints
1 gallon = 16 cups
Now let's convert everything to pints since most of the units provided are in pints:
Orange juice: 1 quart = 2 pints
Pineapple juice: 2 pints
Tropical punch: 8 cups = 4 pints
Ginger ale: 8 pints
Add all the pints together:
2 pints (orange juice) + 2 pints (pineapple juice) + 4 pints (tropical punch) + 8 pints (ginger ale) = 16 pints total
Now convert pints to gallons:
16 pints ÷ 8 pints/gallon = 2 gallons
So, Jeff makes 2 gallons of fruit punch.
COCIOLTO
2 Points
At a hardware store, the probability that a customer buys nails is 0.10. The
probability that a customer buys nails given that the customer buys a
hammer is 0.40.
Which statement is true?
O
A. Every customer who buys nails also buys a hammer.
O
B. Buying a hammer and buying nails are independent events.
O
C. Buying a hammer and buying nails are dependent events.
O
D. The probability that a customer buys a hammer and nails is 0.30.
SUBMIT
Answer: The answer is C
Step-by-step explanation:
Answer:
Option C is correct.
Step-by-step explanation:
C. Buying a hammer and buying nails are dependent events. - This is correct.
Two events are said to be dependent on each other, if the occurrence of the first event affects the occurrence of the second event thus changing the probability. Here the probability for both the events is [tex]0.10\times0.40=0.04[/tex]