Answer:
Kaleb took the additive inverse of the first integer.
Step-by-step explanation:
The subtraction: 6 - 17, can be changed to: 6 + (-17), adding the additive inverse (the minus sign of the subtraction changes to a plus sign, and 17 changes to its additive inverse, -17).
Kaleb transforms: 6 - 17, into: -6 + 17. He took the additive inverse of the first integer, instead of the second one.
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 55 and 63? Round your
answer to the nearest tenth of a percent.
A. 55.9%
B. 53.9%
C. 56.9%
D. 54.9%
Answer: 55.9% appex
Step-by-step explanation:
The probability that a data value is between 55 and 63 is 54.7%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We can use the standard normal distribution to solve this problem by standardizing the values of 55 and 63:
z1 = (55 - 62) / 4 = -1.75
z2 = (63 - 62) / 4 = 0.25
Using a standard normal distribution table (or a calculator), we can find the area under the curve between z1 and z2:
P(-1.75 < z < 0.25) = 0.5466
Rounding to the nearest tenth of a percent, we get:
0.5466 ≈ 54.7%
Therefore,
The probability that a data value is between 55 and 63 is 54.7%.
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Identify the measure of arc AB.
1. arc AB = 70°
2. arc AB = 60°
3. arc AB = 80°
4. arc AB = 50°
Answer:
4
Step-by-step explanation:
A and B meet at G which is 50 moving up the degree ould still stay 50
PLEASE HELP ME, IMA LOW LIFE WHO DOESNT KNOW MAF
Answer:
c/a/a
Step-by-step explanation:
Answer:
B for the first one. A is for the second one. A for the third one.
Step-by-step explanation:
A is for the second one because 4* 10^4=40,000 while 4*10^5= 400,000 and a marathon is 42,000 and 40,000 is closer to 40,000. Therefore, A.
A for the third one because 1*10^0=1 while 1*10^1=10 and a stride is 1.44 and 1 is closer to 1.44 than 10. Therefore, A.
B for the first one because if a stride is 1m and the marathon is 4*10^4 which is 40,000 then. 40,000/1 = 40,000= 4*10^4
I hope this helps!
P.S.- Just an FYI in case you don't know. An* means to multiply and a ^ means to the power.
A statement believed to be true based on observations.
Answer: Conjecture
Step-by-step explanation:
An unproven statement which is based on only observations is a statement you believe is true based on inductive reasoning and you are able to draw a conclusion from it through a certain pattern. This is known as conjecture.
Conjecture is drawn from a personal opinion about something you notice in which you are able to draw a reasonable conclusion without experiment or without a proof.
So, the best option is conjecture.
Determine whether each function is even, odd, or neither.
f(x) = (x2-9
DONE
g(x) = |x-31
DONE
x2-1
DONE
g(x) = x + x2
DONE
Answer:
a) f(x) = x² -9
function is an even function
b) g(x) = |x -3|
function is an even function
c) f(x)= x / x²-1
function is odd function
d) g(x) = x + x²
Given function is not an even not odd function
This function is neither even or odd
Step-by-step explanation:
Explanation:-
a) Given f(x) = x² -9
Even function
If f(-x) = f(x) , then the function is even function.
f(-x) = (-x)² -9
= x² -9
= f(x)
f(-x) = f(x)
∴ Given function is an even function
b)
Given g(x) = |x -3|
Even function
If g(-x) = g(x) , then the function is even function.
g(-x) = |-(x-3)|
= |x-3|
g(-x) = g(x)
∴ Given function is an even function
c)
odd function
If f(-x) =- f(x) , then the function is odd function.
f(-x) = [tex]f(-x) = \frac{-x}{(-x)^{2}+1 } = \frac{-x}{x^{2}+1 } = - f(x)[/tex]
= -f(x)
f(-x) = -f(x)
∴ Given function is odd function
d)
If g(-x) = g(x) , then the function is even function.
g(x) = x + x²
g(-x) = -x + (-x)²
= - (x - x²)
This is not either even or odd function
∴ Given function is neither function
a) f(x) = x² -9
function is an even function
b) g(x) = |x -3|
function is an even function
c) f(x)= x / x²-1
function is odd function
d) g(x) = x + x²
Given function is not an even not odd function
This function is neither even or odd
Here, we have,
a) Given f(x) = x² -9
Even function
If f(-x) = f(x) , then the function is even function.
f(-x) = (-x)² -9
= x² -9
= f(x)
f(-x) = f(x)
∴ Given function is an even function
b)
Given g(x) = |x -3|
Even function
If g(-x) = g(x) , then the function is even function.
g(-x) = |-(x-3)|
= |x-3|
g(-x) = g(x)
∴ Given function is an even function
c)
odd function
If f(-x) =- f(x) , then the function is odd function.
f(-x) = -x/(-x)²-1
= -f(x)
f(-x) = -f(x)
∴ Given function is odd function
d)
If g(-x) = g(x) , then the function is even function.
g(x) = x + x²
g(-x) = -x + (-x)²
= - (x - x²)
This is not either even or odd function
∴ Given function is neither function.
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3
2 3 4
z
0.00
1.00
2.00
Probability
0.5000
0.8413
0.9772
0.9987
3.00
0.16
0 0.68
0.81
0.84
The approximate area of the unshaded region under the standard normal curve is 0.8641.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have to find the area under the standard normal curve equals the z probability.
So, P = 1 - P(1 < z <2)
P = 1 - [ P(z<2)- P(z<1)]
As, the standard normal probability
P (z<1)= 0.8413
P(z<2) = 0.9772
So, P(1 < z <2)
= 0.9772 - 0.8413
= 0.1359
and, P = 1 - P(1 < z <2)
= 1 - 0.1359
= 0.8641
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9
Question 4 (5 points)
Evaluate the expression: 230 - 151 + 180 + (43 - 12).
A) 46
OB) -44
C) 18
D) 57
Answer:
230 - 151 + 180 + (43 - 12) = 290
Step-by-step explanation:
Use PEMDAS.
Evaluate the expression in the parentheses:
230 - 151 + 180 + (43 - 12)
43 - 12 = 31
230 - 151 + 180 + 31
Add and Subtract From Left to Right:
230 - 151 + 180 + 31
79 + 180 + 31
259 + 31
290
None of the given options are correct.
Answer:
18
Step-by-step explanation:
Evaluate the expression: 23^(0) - 15^(1) + 18^(0) + (43 - 12) = 18
Find the surface area of the sphere.
r=3 cm
Round to the nearest tenth.
Answer:
Circle shape marked with radius (r) and circumference (c). Also shows formulas for the circumference and area of a circle
Radius (r)
3 cm
Diameter
6 cm
Circumference (c)
18.84956 cm
Area
28.27433 cm²
Answer: 113
Step-by-step explanation:
what is the mid point of the x-intercepts of f(x)=(x-2)(x-4)?
(-3,0)
(-1,0)
(1,0)
(3,0)
Answer:
The x-int.s are (2, 0) and (4, 0) so the midpoint will be (3, 0).
Answer:
Step-by-step explanation:
Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1
plz help i don't understand what it wants me to do its make up work and i haven't been taught how to do it also its algebra 2
Answer:
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]
Step-by-step explanation:
We are to factorize the expression [tex]a^{3y} + 1[/tex] completely. To do this, we will apply the expression below;
The expression can be rewritten as [tex]a^{3y} + 1^{3}[/tex]
To factorize the expression, we need to first factorize [tex](a^{y}+1 )^{3}[/tex] first
[tex](a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2} } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\[/tex]
The we will make [tex]a^{3y} + 1^{3}[/tex] the subject of the formula as shown;
[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\(a^y)^{3} + 1^{3} = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]
This last result gives the expansion of the expression
PLS HELP ME WITH MY GEOMETRY QUESTION
Answer:
X=131
Step-by-step explanation:
9+40+? = 180
All triangles =180
40+9=49
180-49=131
answer is x=131
Answer:
41
Step-by-step explanation:
This is a pythagorean theorem question, which is represented by the formula [tex]a^{2} + b^{2} = c^{2}[/tex]
c always represents the hypotenuse, which is the longest side of the triangle
your two given numbers are represented by a and b
plug in the two numbers into the formula and solve. the formula should look like this: [tex]9^{2} + 40^{2} =c^{2}[/tex]
it should then be: 81+1600=[tex]c^{2}[/tex]
Add the two numbers and take the square root
Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?
A .3 pounds B .2 pounds C .1 pound D. 0.5 pound
Answer:
Weight of the parcel in pounds = 1 pound
Step-by-step explanation:
Given:
y = 4x + 1 ---------------------Eq1
y = 3x + 2 ----------------------Eq2
Where,
x = weight of the parcel in pounds
y = total cost of the parcel
Find:
From Eq1 and Eq2, by using Substitution method.
y = 4x + 1 ---------------------Eq1
y = 3x + 2 ----------------------Eq2
So,
3x + 2 = 4x + 1
4x - 3x = 2 - 1
x = 1
Weight of the parcel in pounds = 1 pound in both services is equal
In the diagram, AB = BC = CD = DA prove that triangle ADB is congruent to triangle CDB.
Answer:
Given
Hope it helps!
Step-by-step explanation:
Consider triangle ABD and CDB,
The congruent parts are:
AB= BC (given)
AD= CD (given)
BD= BD (common side)
Therefore the triangles are congruent by SSS (side side side) congruence rule.
The triangles are congruent by SSS (side side side) congruence postulate.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed. Then that means two triangles are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
Given that AB = BC = CD = DA. we need to prove that triangle ADB is congruent to triangle CDB.
Let's Consider triangle ABD and CDB,
Here, Triangles ADB and CDB have a common side at BD.
The congruent parts are:
AB= BC (given)
AD= CD (given)
BD= BD (common side)
Since the three sides of the triangles are congruent.
Therefore, the triangles are congruent by SSS (side side side) congruence postulate.
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Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x squared y Superscript 10 Baseline EndFraction? Assume x not-equals 0, y not-equals 0. StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction
Answer:
The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFractionStep-by-step explanation:
Given the expression [tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }[/tex]for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.
[tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\[/tex]
The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction
Answer:
It’s b
Step-by-step explanation:
Factor completely x2 + 64.
(x + 8)(x − 8)
Prime
(x + 8)(x + 8)
(x − 8)(x − 8)
Answer:
Prime
Step-by-step explanation:
x^2 + 64 cannot be factored any further
It is prime because it cannot be factored further.
Can a prime number be factored further?Prime numbers have two elements, themselves and 1, however, those are the trivial factors that every variety has. Due to the fact they can not be factored in every other manner, we are saying that they cannot be factored.
What does prime suggest in factoring?Prime factorization is a way of expressing a variety of as a made from its prime elements. A high wide variety is a number that has precisely two elements, 1 and the variety itself. For instance, if we take the range 30. We realize that 30 = 5 × 6, however, 6 isn't always a high wide variety.
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Helppppppp pleaseeeeeeee
Answer:
b. 9h
Step-by-step explanation:
Volume of the cube = a*a*a
Volume of the cube = 3*3*h = 9h
But in reality for cube it should be 3*3*3= 27, because of the all edges of a cube are equal.
Question 7(Multiple Choice Worth 4 points)
(01.06 MC)
Solve for x.
Ox=69
Ox = 15
Ox = 30°
Ox= 90°
Answer:
x = 30
Step-by-step explanation:
4x+2x=180
6x=180
x=30
The value of x is 30.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given is a line EB where another line FA is intersected at the point A on the line EB.
Angles formed on a line is supplementary.
The angles EAF and BAF are the angles formed on a line.
∠EAF + ∠BAF = 180°
4x + 2x = 180°
6x = 180°
x = 180° / 6
x = 30
Hence the value of the x in 4x and 2x is x = 30.
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find the x-intercepts for the parabola defined by this equation
Answer:
Your x-intercepts are (1, 0) and (5, 0)
Step-by-step explanation:
Factor out the expression:
[tex]y =x^{2} -6x +5[/tex] factors out to [tex]y = (x-1) * (x-5)[/tex]
Because this factored out form is now in intercept form, we can solve that the two intercepts are (1, 0) and (5, 0).
Answer:
The coordinates are (5 ,0) and (1 ,0)
Answer is given below with explanations.
Step-by-step explanation:
[tex]to \: find \: the \: x \: intercepts \: of \: the \: parabola \: \\ defined \: by \: {x}^{2} - 6x + 5 = y \\ let \: y = 0 \\ then \\ {x}^{2} - 6x + 5 =0 \\ by \: factorization \\ (x - 5)(x - 1) = 0 \\ x - 5 = 0 \: \: (or )\: x - 1 = 0 \\ x = 5 \: \: ( or) \: x = 1[/tex]
We want ti express the intercepts as two ordered pairs (y = 0)
Then the coordinates are (5 ,0) and (1 ,0)
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Ms. Eskew's class had a class average of 77 % on their Math test. How would this be written as a ratio? A. 23:100 B. 77:100 C. 54:100 D. 100:77
Answer:
answer is B. 77 percent means 77/100
Have a great day
Step-by-step explanation:
brainliest please!!!!
HELPP!!! 30 POINTS!!! WILL MARK BRAINLYIST!! Step 1: Written Response (30 points) Using complete sentences, compare the fat content of the three restaurants above. Make sure to talk about skewedness, measures of center, and measures of spread. Also, make a recommendation for which restaurant you think is the "healthiest". Make sure to defend your recommendation using mathematical terms that you've learned in this unit.
Answer:
median a= 65 b= 75 c=68
This shows the median of each fat content of each restaurant showing that restaurant c is closer to that of 'restaurant a ' than a is to 'restaurant b' and near to 1/7 lower than that of restaurant b which shows they are all highly skewed with each other upon their graph.
The measures of spread start with 55 to 72 for 'restaurant a' where the upper and lower quartiles are 70-60 showing a distribution 10-17 into the whisker plot.
Compared to restaurant b which shows a measure of spread start with 65 to 90 for 'restaurant b' where the upper and lower quartiles are 85 - 68 into the whisker plot and show a spread of 3 in the left exterior and 5 spread in the right exterior to the upper quartile. So in comparison to restaurant a that restaurant b has a greater spread in the interquartile range = 15 where restaurant a =10.
For the outer quartile the comparison to restaurant a is twice as small meaning restaurant a is greater by over double and shown as 53 <a < 60 which when showing both outer quartiles we can use the amounts being 7 and 70<a<72 = 2
and show closed dots on equality line number line separately showing a<-7 and a>2 for each outer exterior quartile. For restaurant b this shows opposite similar equalities 65<b< 68 = b>-3 and 82<b<89 = b>7
So the differences are smaller for b for left side by 4 and larger for b by 5 up on the right side.
We compare both to restaurant c and find c = 60<c<61 = c>-1 and 70<c<71 = c>1 so the differences are that the outer quartile for c through the other quartiles = -2> c < -6 . This shows how smaller c is compared to a and b outer quartiles). We can also prove that while the outer quartiles are much more smaller for c than a and b we cna prove that c actually has an inner quartile more similar to c and closer distribution of b as the median is more closer for a and c where b has a greater output for median as restaurant b has the higher fat content and greater distribution within the inner quartiles over all.
Summary findings Restaurant c outer quartile is moderately skewed as they show -1 -0.5 on the left side and 1-0.5 on the right side. Restaurant a has a closer median inner quartile to c and closer distribution of inner distribution of c. It's output outer quartile distribiution is a distribution that is higher than b but a smaller inner quartile compared to b, when this happens then the distribution spread shows less range and fewer products to account for.
So i think restaurant b has the higher fat content to its menu.
Where restaurant a must be the healthiest as it holds the lowest range and larger gap is such range for healthier food.ie) when compared to the others.
Meanings of what we are asked.
In a box and whisker plot: the ends of the box are the upper and lower quartiles, so the box spans the interquartile range. the median is marked by a vertical line inside the box. the whiskers are the two lines outside the box that extend to the highest and lowest observations.
Skewness refers to distortion or asymmetry in a symmetrical bell curve, or normal distribution, in a set of data. If the curve is shifted to the left or to the right, it is said to be skewed. Skewness can be quantified as a representation of the extent to which a given distribution varies from a normal distribution.
As a general rule of thumb:
If skewness is less than -1 or greater than 1, the distribution is highly skewed.
If skewness is between -1 and -0.5 or between 0.5 and 1, the distribution is moderately skewed.
If skewness is between -0.5 and 0.5, the distribution is approximately symmetric.
Step-by-step explanation:
I hope this helps u have a nice day ✌❤☘Factor completely x3 + 8x2 – 3x – 24
O(x-8)(x2 - 3)
O (X + 8)(x2 + 3)
O (x-8)(x2 + 3)
O (X + 8)(x2 – 3)
Answer:
Option d is the answer
(X + 8)(x2 – 3)
Step-by-step explanation:
x3 + 8x2 – 3x – 24
= (X + 8)(x2 – 3)
Check all the options by expansion
(a)
(x-8)(x2 - 3)
=x3-3x-8x2+24
(b)
(X + 8)(x2 + 3)
=X3+3x+8x2-24
(c)
(x-8)(x2 + 3)
=X3+3x-8x2-24
(d)
(X + 8)(x2 – 3)
=X3-3x+8x2-24
PLEASE HELP!
Which of the following functions are the inverse of p(x)= √5x+7 ?
Answer: B
Step-by-step explanation:
You are given the function
p(x) = √5x+7
Let p(x) = y then,
Y = √5x+7
To find the inverse of a function, you need to interchange x and y and make y the subject of formula. That is,
X = √5y+7
Square both sides
X^2 = 5y + 7
Make y the subject of formula
5y = x^2 - 7
Y = ( x^2 - 7 ) / 5
the correct answer is B
)) Devon jarred 15 liters of jam after 3 days. How much jam did Devon jar if she spent 4 days
making jam? Assume the relationship is directly proportional.
Answer:
20 liters
Explanation:
To find out how much jam Devon would jar if she spent four days making jam, we must first find out how much jam she makes in one day. In order to do that, we must divide how many liters of jam she makes in three days by the amount of days it took her to make it (three days).
15 liters ÷ 3 days = 5 liters per day
So, Devon jars 5 liters of jam per day.
Now that we found out how much jam she makes in a day, let's find out how much jam she makes in four days. To do that, we must multiply the amount of jam she makes in a day by four days.
5 liters × 4 days = 20 liters
Therefore, Devon will jar 20 liters of jam if she spends four days making jam.
Answer:
on ixl its 48.
Step-by-step explanation:
to graph x[tex]\geq[/tex] 2 place a(n) blank on a number line at and shade to the blank
Answer:
See below
Step-by-step explanation:
Attached below is the graph of [tex]x\geq 2[/tex]. Since x=2 is a vertical line, everything shaded are the x values larger or equal to 2. Hope this helps!
5
4
3
5 4 -3 -2 -14
1 2 3 4
-2
-3
4
y = -2x + 2
Need help
y=-3x+2
y = 1/4+2
y = 2x + 4
Help
Answer:
y=-1/2+2
Step-by-step explanation:
the y intercept is 2
Its negative because the slope is going down
1/2 because down 1 right 2
Which fractions are equivalent to 40%? Check all that apply.
8/100
2/5
8/20
4/10
16/40
Answer:
2/5, 4/10, 8/20, 16/40
Step-by-step explanation:
=> 40%
=> [tex]\frac{40}{100}[/tex]
In simplest form:
=> [tex]\frac{2}{5}[/tex]
Make m the subject of the formula
check the photo and if u feel I made any mistakes pls do let me know
A: -18,-13,-5,2,7
B:-4,0,2,7,12
C:4,22,27,32,43
Answer:
a=-18
b=7
c=27
Step-by-step explanation:
The 8th grade sells popcorn after school.
The 2-cup container is $0.89, the 24-cup
container is $1.10, and the 32-cup
container is $1.75. Which is the best buy?
Answer:
I would say the 2-cup container is the best buy.
Step-by-step explanation:
Value for money and 2 cups are enough.
find the solution to the equation m^2-15m=0
Answer:
m = 15 OR m = 0
Step-by-step explanation:
=> [tex]m^2 - 15m = 0[/tex]
=> Taking m common
=> [tex]m(m-15) = 0[/tex]
Either,
m = 0 OR m = 15
Answer:
m₁ = 0
m₂ = 15
Step-by-step explanation:
m² - 15m = 0
m(m - 15) = 0
m₁ = 0
m - 15 = 0 => m₂ = 15