Answer:
Mean = 22.5
MAD = 7.5
Step-by-step explanation:
Mean = 135/6
= 22.5
|x-22.5|
= 12.5, 7.5, 2.5, 2.5, 7.5, 12.5
MAD = 45/6 = 7.5
+32. Convert 45°F to
The formula to convert Celsius to Fahrenheit is F
Celsius. Round to the nearest degree.
O A. 49°C
O B. 113°C
O C. -1°C
O D. 7°C
Answer:
Option D. 7°C
Step-by-step explanation:
Let the temperature in Fahrenheit (F) and the temperature in Celsius(C)
The formula to convert Fahrenheit to Celsius is ⇒ F = 1.8 C + 32
So, to Convert 45° F to Celsius, substitute with with 45° F
45 = 1.8 C + 32
Solve for C
1.8 C = 45 - 32
1.8 C = 13
C = 13/1.8 = 7.222
Rounding to the nearest degree ⇒ 45° F = 7° C
The answer is option D. 7°C
What will be the new position of the given point (-6,8) after rotating 90° clockwise about the origin
Answer:( 8, 6)
Step-by-step explanation:
After rotating the point (-6,8) 90° clockwise about the origin, the new position of the point will be (8,6).
Explanation:When a point is rotated 90° clockwise about the origin in a two-dimensional Cartesian coordinate system, the new position of the point can be calculated by changing the sign on the y-coordinate and swapping the order of the x and y-coordinates. For your specific question, we are given the point (-6,8). So, the new position of the point after the rotation would be (8,6). This is because rotations in a clockwise direction can be considered as negative in mathematics, and portions rotate around the origin following the right-hand rule.
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Is 9,056,198 divisible by 5?
Answer:
No, because the end of the number is 8 and numbers divisible by 5 has to end in 0 or 5.
HOPE THIS HELPED!Answer:
No
Step-by-step explanation:
9,056,198 is not divisible by 5.
Being divisible means that the number can be divided by the other without there being any decimals. Meaning it has to divide into a whole number in order to be divisible.
An easy way to see if anything is divisible by 5 is to see if the last number is either a 0 (for example 10 or 20) or if the last number is a five (for example 15 or 25)
Write the word sentence as an equation
the sum of a number b and 8 is 17
In order to write the above statement as an equation, we have: b + 8 = 17.
This is related to translating word problems to equations.
What is equation?Equation actually refers to a mathematical statement that actually shows that two mathematical expressions are equal to each other. In an equation, the "equal to" (=) is usually used to indicate the equation.
We can see above that the statement in words has been translated to a mathematical equation.
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Apples weigh 12 ounces each.Ronald bought 4 apples.How many pounds of apples did he buy?
How do you model 18 more than 27 on the number line?
Answer:
You count 18 places to the right of 27.
Step-by-step explanation:
To the right of a point, the numbers are increasing, therefore you have to go to the right 18 of 27.
The modeling 18 more than 27 on the number line should be explained below.
Number line:A line on which numbers are mentioned at intervals and the same is considered for doing simple numerical operations. Here we have to count 18 places to the right of 27. In this, the positive number, as well as the negative numbers, are mentioned. It could be in any kind of direction, mainly it should be in the horizontal direction.
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An online video game club charges $10 to join and $8 per month after that. Which equation can you solve to find out how long you can be a member for $75 An online video game club charges $10 to join and $8 per month after that. Which equation can you solve to find out how long you can be a member for $75
Factor the polynomial completely x2+18
The polynomial x^2 + 18 cannot be factored over the real numbers and remains in its simplest form. For complex coefficients, it can be expressed as (x + 3i)(x - 3i). For cubic differences like x^3 - y^3, the real factors would be (x - y)(x^2 + xy + y^2).
Explanation:The polynomial x2 + 18 cannot be factored over the reals because it does not have any real roots; thus, it is already in simplest form over the real numbers. However, if we allow for complex coefficients, we can write this as (x + 3i)(x - 3i), where i is the imaginary unit. Note, for more complex expressions such as x3 - y3, you would use the formula (x - y)(x2 + xy + y2) to factor it over the reals or apply complex coefficients if necessary.
Which expression has the same value as 3 ÷ 5/9?
A. 3 × 5/9
B. 13 ÷ 5/9
C. 3 ÷ 9/5
D. 3 × 9/5
Answer:
D. 3 x 9/5
Step-by-step explanation:
The expression that has the same value as 3 ÷ 5/9 is 13 ÷ 5/9.
Explanation:The expression that has the same value as 3 ÷ 5/9 is option B. 13 ÷ 5/9.
To divide by a fraction, we multiply by its reciprocal. In this case, we can find the reciprocal of 5/9, which is 9/5. So, we have 3 ÷ 5/9 = 3 × 9/5 = 27/5.
Option B, 13 ÷ 5/9, is equivalent to 13 × 9/5 = 117/5, which is equal to 27/5. Therefore, option B has the same value as 3 ÷ 5/9.
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Answer this question in this image below, please anyone
The height of the cone is 4 inches.
Step-by-step explanation:
Step 1:
The given triangle is a right-angled triangle.
The length of the hypotenuse is 5 inches. One of the other sides is 3 inches long. Assume the other side of the triangle measures x inches.
According to Pythagoras' theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Step 2:
(The length of the hypotenuse)² = (The other sides length)² + (The other sides length)²
By substituting the values in the equation, we get
[tex]5^{2} = 3^{2} + x^{2} , x^{2} = 25 - 9 = 16.[/tex]
[tex]x = 4.[/tex]
So the height of the cone is 4 inches which is the fourth option.
The distance of one lap around a school track is 1/4 miles. Karen walks 6 laps around the track and realizes it is in
poor condition. She complains and asks to see the manager of the track.
How many more laps must Karen walk to reach a total distance of 5.5 miles?
laps
Answer:
16
Step-by-step explanation:
because 5.5 is 22 laps and you do 22-6=16.
Multiply:
-Z^4 • Z .
The manager of a grocery store estimates that 74% of customers will make a purchase.
Part A: How many customers should a cashier expect until he finds a customer that makes a purchase?
Part B: What is the probability that a cashier helps 3 customers until he finds the first person to make a purchase?
Answer:
A : Per 100 people, cashier should expect 26 customer until he finds a costumer that makes a purchase.
B: The probability is 1/4
Step-by-step explanation:
The estimated chance of a customer making a purchase = 74%
So, if a TOTAL of 100 people visit the grocery store on any random day,
then 74 % of customers
= 74% of 100
= 74 people will make purchases.
⇒ Out of total 100 people visiting, 74 people will make a purchase.
So, the number of people NOT making a purchase = 100 - 74 = 26
⇒ Out of total 100 people visiting, 26 people will NOT make a purchase.
Also, 26 = 26% of 100
Part A :
So, in order to make a purchase, cashier should expect 26% of customers because the percentage of NOT purchasing is 26%.
Hence, per 100 people, cashier should expect 26 customer until he finds a costumer that makes a purchase.
Part B :
The percentage of customer making a purchase = 74%
The percentage of people NOT making a purchase = 26%
So, for every 3 customer making a purchase there is a 1 person NOT making a purchase.
So, the probability is 1/4
Part A)
1.35 customers until the cashier should expect to find a customer that makes a purchase.
1 ➗ 0.74 = 1.35
Part B)
0.013 is the probability that the cashier helps 3 customers until he finds the first person to make a purchase.
(1 - 0.74)3 x 0.74 = 0.013
2x - y = 10
y = -x - 1
Solve the system of equations
A (9.8)
B (3.-4)
C no solution
Answer: option is C
Step-by-step explanation:
Write an equation of the line that passes through this pair of points
(-3, -1 ) And ( 3, -3)
Answer:
y = -1/3x-2
Step-by-step explanation:
What is the answer to 50% of $36
Answer:
$18
Step-by-step explanation:
1/2*36=18
Therefore, $18
Answer:$18
Step-by-step explanation:
50% of 36
50/100 x 36
1/2 x 36=36/2=18
a plane ticket barcelona costs £175 the price decreases by 6% work out the new price
Answer: £164.50
175 decreased by 6% = 164.5
Absolute change (actual difference):
164.5 - 175 = - 10.5
Step-by-step explanation:
175 - Percentage decrease =
175 - (6% × 175) =
175 - 6% × 175 =
(1 - 6%) × 175 =
(100% - 6%) × 175 =
94% × 175 =
94 ÷ 100 × 175 =
94 × 175 ÷ 100 =
16,450 ÷ 100 =
164.5
£164.50
Answer: £164.5
Step-by-step explanation:
Given ticket cost at = £175
6 percent decrease = 6/100 × £175
=£10.5
To get the Current cost of ticket, we then subtract 6% decrease from the former cost of ticket:
= £175 - £10.5
=£164.5
I hope this helps.
[URGENT]
Order of operations is defined as _____. a system for completing operations by doing them from left to right in the order that they are in a system for simplifying expressions that ensures that there is only one right answer a system for organizing the completion of operations based on the acronym PAMDES a system for helping to identify the best right answer out of many for a problem
Answer:
a system for simplifying expressions that ensures that there is only one right answer
Step-by-step explanation:
Order of operations is used to simplify as much as possible to solve the equation easily.
Of all choices the second choice is the most accurate definition.
Answer:
a system for simplyfying expressions that ensures that there is only one right answer
Step-by-step explanation:
$750 is invested at 11% compounded quarterly. how much is the account after 10 years?
Answer:
F= $2219.91
Step-by-step explanation:
[tex]F=P(1+i)^{n}[/tex]
Here
F= value of money after 10 years
P= present value
i= interest
n= number of compound on money
P=$750 i = 11%/4=0.0275 n=10x4= 40
[tex]F=750(1+0.0275)^{40}[/tex]
[tex]F=750(1.0275)^{40}[/tex]
[tex]F=750(2.96)[/tex]
F= $2219.91
John has a total of 24 cookies. Sixteen of these are chocolate chip, and the rest are sugar. What is the ratio of chocolate chip to sugar?
A: 1:2
B: 2.1
C: 2.3
D: 3:2
Answer:
B: 2:1
Step-by-step explanation:
The number of sugar cookies is 24 -16 = 8
Chocolate chip: sugar
16:8
Dividing by 8
16/8: 8/8
2:1
Answer: B
Step-by-step explanation:
there are 24 cookies in total and 16 of then are chocolate chip.To find the rest of the cookies, you would subtract 16 from 24 which would give you 8.
Finally, to make a ratio, you would put the numbers in order as the problem. So, that would be 16:8 or chocolate chip to sugar. and that would reduce to 2:1.
Solve for X
1. - 6x + 14 < =28 OR
9x + 15 <-12
Solution:
1)
[tex]-6x + 14\leq 28[/tex]
Solve the inequality for "x"
From given,
[tex]-6x + 14\leq 28[/tex]
[tex]\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\\\-6x+14-14\le \:28-14\\\\Simplify\\\\-6x\le \:14\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
When, we multiply or divide both sides of inequality by negative number, then we must flip the inequality sign
[tex]\left(-6x\right)\left(-1\right)\ge \:14\left(-1\right)\\\\\mathrm{Simplify}\\\\6x\ge \:-14\\\\\mathrm{Divide\:both\:sides\:by\:}6\\\\\frac{6x}{6}\ge \frac{-14}{6}\\\\x \geq -2.333[/tex]
The solution set is given as:
[tex]-6x+14\le \:28\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-\frac{7}{3}\:\\ \:\mathrm{Decimal:}&\:x\ge \:-2.33333\dots \\ \:\mathrm{Interval\:Notation:}&\:[-\frac{7}{3},\:\infty \:)\end{bmatrix}[/tex]
---------------------------------------------------------------------------------------------------
2)
[tex]9x + 15< - 12[/tex]
Solve the inequality for "x"
From given,
[tex]9x+15<-12\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\9x+15-15<-12-15\\\\\mathrm{Simplify}\\\\9x<-27\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\\\frac{9x}{9}<\frac{-27}{9}\\\\\mathrm{Simplify}\\\\x < -3[/tex]
The solution set is given as:
[tex]9x+15<-12\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\end{bmatrix}[/tex]
Find the area of the rectangle that has the vertices (-2, 0). (0-4). (2.0), and (0,4), respectively.
Final answer:
Area of the rectangle that has the vertices (-2, 0). (0-4). (2.0), and (0,4) is 32 square units.
Explanation:
To find the area of a rectangle, we need to use the formula:
Area = length x width
In this case, the vertices of the rectangle are (-2, 0), (0, -4), (2, 0), and (0, 4). We can calculate the length and width by finding the difference in the x-coordinates and y-coordinates, respectively.
The length is 2 - (-2) = 4 and the width is 4 - (-4) = 8.
Therefore, the area of the rectangle is:
Area = 4 x 8 = 32 square units.
Angle ABD measures (4x + 10)o. Angle ACD measures (5x − 2)o.
Circle E is shown. Angles A B D and A C D intercepts arc A D. Angles B A C and B D C intercepts arc B C.
What is the measure of arc AD?
Answer: 116°
Step-by-step explanation:
The measure of arc AD is 116 degrees and it can be determined by using the properties of a circle.
Given that,
Angle ABD measures (4x + 10).
Angle ACD measures (5x − 2).
Circle E is shown.
Angles ABD and ACD intercept arc AD.
Angles BAC and BDC intercept arc BC.
We have to determine,
What is the measure of arc AD?
According to the question,
Angle ABD measures (4x + 10).
Angle ACD measures (5x − 2).
Circle E is shown.
Angles ABD and ACD intercept arc AD.
Angles BAC and BDC intercept arc BC.
In the given condition, Angle ABD and Angle ACD have inscribed angles, intercepting the same arc then by the intercept arc property.
Angle ABD = Angle ACD
[tex]\rm 4x+10 = 5x-2\\\\4x-5x = -2-10\\\\-x = -12\\\\x=12[/tex]
The value of x is 12.
Therefore,
The measure of arc AD is,
[tex]\rm Arc \ AD =A ngle \ ABD + Angle \ ACD\\\\Arc \ AD = (4x+10) + (5x-2)[/tex]
Substitute the value of x,
[tex]\rm Arc \ AD = (4x+10) + (5x-2)\\\\Arc \ AD = 4(12) +10+5(12) -2\\\\Arc \ AD = 48+10+60-2\\\\Arc \ AD = 116 \ degree[/tex]
Hence, the measure of arc AD is 116 degrees.
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what’s the formula? i don’t understand and i need help
Step-by-step explanation:
y+4= 4(x-3)
y+4 =4x- 12
4x-12 -y -4=0
4x-y -16=0
4x-y=16
Jack's age is three years more than twice the age of his younger brother, Jimmy. If the sum of their ages is at most 18,find the greatest age Jimmy could be.
3x^2(2x^2+3)=0
please help quick
Answer:
x=0 and x=sqrt(3/2)i
Step-by-step explanation:
3x^2(2x^2+3)=0
Make into two equations due to Zero Product Property:
3x^2=0 and 2x^2+3=0
x^2=0 2x^2=-3
x=0 x^2=-3/2
x=sqrt(3/2)i
Solve this: (2m+1)^2
Answer:4m^2+4m+1
Step-by-step explanation:
(2m+1)^2=(2m+1)(2m+1)
Opening brackets we have:
4m^2+2m+2m+1
Add like terms
4m^2+4m+1
Answer:
The solution is
4m² + 4m + 1
Step-by-step explanation:
Solve this: (2m+1)²
If X² = X*X
Therefore, (2m+1)² = (2m+1) x (2m+1)
Opening the bracket (2m+1) x (2m+1)
=2m*2m + 2m*1 + 1*2m + 1*1
= 4m² + 2m + 2m + 1
Collect the like terms
= 4m² + 4m + 1
From this point, the equation can't be solved further.
Choose the solution to this inequality.
Answer:
the answer is B
Step-by-step explanation:
you subtract 9/5 on both sides, find the common denominator which in this case would be 10. so 35-18 is 17. turn that into a mixed fraction and you get 1 and 7/10
The probability that a softball player named Casey gets a base hot during a single time at bat is 4/10. If he goes to bat 4 times in his next game (which is played in Mudville), determine:
A)The probability that he gets 4 hits.
B) the probability that he gets no hits, causing no joy in Mudville.
C) the probability that he gets 3 or more hits.
Final answer:
To determine the probabilities of Casey's performance in a softball game, we compute the outcomes of him getting 4 hits (0.0256), getting no hits (0.1296), and getting 3 or more hits (0.2048) using the rules of probability for independent events.
Explanation:
The probability of the softball player Casey getting a hit is 4/10. To solve the various probabilities related to Casey's performance:
A) The probability that he gets 4 hits in 4 at-bats can be calculated by raising the probability of getting a hit to the fourth power since each at-bat is an independent event. This gives us (4/10) 4 or 0.0256.B) The probability that he gets no hits in 4 at-bats is the probability of not getting a hit (which is 1 - 4/10 = 6/10) raised to the fourth power, resulting in (6/10) 4 or 0.1296.C) The probability that he gets 3 or more hits is the sum of the probabilities of getting exactly 3 hits and getting 4 hits. To get exactly 3 hits, we can calculate 4 choose 3 (which is 4) times the probability of getting a hit three times and not getting a hit once, giving us 4 * (4/10) 3 * (6/10). Adding the probability of getting 4 hits, we get 0.1792 + 0.0256 = 0.2048.The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8