Answer:
1.774 standard deviations
Step-by-step explanation:
From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.
The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.75/1.55 = 1.774.
So, the number of standard deviations to contain the value 13 is 1.774σ
Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.25/1.55 = 1.452.
So, the number of standard deviations to contain the value 18 is 1.452σ
Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is 1.774 standard deviations.
Place the expressions that are equivalent under the corresponding expression in the table.
20
130
3
8.12
- 1)
2:2
12-1
21=-11 # 1 - 2
1212
II + 3)
472
I + 3 2(1 - 1)
-1 2:2
3(12 - 1)
32 – 23 – 3+.
Answer:
Step-by-step explanation:20
20 130 3 8.12 - 1) 2:2 12-1 21=-11 # 1 - 2 1212 II + 3) 472 I + 3 2(1 - 1) -1 2:2 3(12 - 1) 32 – 23– 3+.
The relationship between degrees Fahrenheit (F) and degrees Celcius (C) is given by the formula straight F space equals space 9 over 5 space C space plus space 32. What is the Celcius temperature when the Fahrenheit temperature is 41? Round answer to the nearest whole number. 55 5 -9 41 16
Answer:
[tex]C = 5[/tex]
Step-by-step explanation:
Given
[tex]F = \frac{9}{5}C + 32[/tex]
Required
Find C when [tex]F = 41[/tex]
We have:
[tex]F = \frac{9}{5}C + 32[/tex]
Substitute 41 for F
[tex]41 = \frac{9}{5}C + 32[/tex]
Collect like terms
[tex]\frac{9}{5}C = 41- 32[/tex]
[tex]\frac{9}{5}C = 9[/tex]
Multiply both sides by 5/9
[tex]C = 9 * \frac{5}{9}[/tex]
[tex]C = 5[/tex]
What is the measure of m
The answer is 9 bc it must be longer than the base of the trianngle
What is the equation of the graph ? ILL pay
Answer:
Step-by-step explanation:
You have it right it is 6^x -3
You have the right idea, but you don't need to type in the "y=" portion since that is already taken care of. So you just need to type in -3 + 6^x
PLEASE HELP I WILL GIVE BRAINLEIST
People use data and statistics to help them make important policy decisions, to identify
problems in an organization, and to predict outcomes. In this unit, you studied various
ways to analyze and represent data sets to determine how to best interpret the data.
You also learned how to critically examine the data and account for outside factors that
may influence the patterns you see in the data.
Think about the many statistical scores or rankings you receive in school, such as GPA,
SAT and ACT scores, test scores, and class ranking. Describe the usefulness and
limitations of these pieces of data in defining who you are as a person or as a student.
In what ways do they help give a clear picture? What are they not conveying?
Answer:
they help you in the future and help getting a job in the future and they don't convey because its good and not bad for you.
Step-by-step explanation:
Why is x^2+y^2 greater than 2(x+y)
Answer:
because it is squared while the other one is mulitplied by 2
Step-by-step explanation:
Which of the following is not a real number?
Answer:
D
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
A rotation was applied to parallelogram GRAM. What is the length of R'A'? 1.5 cm 1.6 cm 3.0 cm 3.2 cm
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I will show how to solve it.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Rigid transformations are transformations that do not change the size or shape of the object. Types of rigid transformations are rotation, reflection and translation.
Since rotation is a rigid transformation so the sides of the parallelogram does not change, hence:
R'A' = RA
Answer:
3.2
Step-by-step explanation:
A landscape-supply company sells mulch at a rate of $30 per cubic yard. What price does the company charge for 54 cubic feet of mulch? (1 yard = 3 feet.
$54
$60
$810
$1,620
Answer:
$60
Step-by-step explanation:
The details given the in the question are;
The rate at which the landscape-supply company sells each cubic yard of mulch = $30 per cubic yard
The price the company charges for 54 cubic feet of mulch = Required
The factor for converting yard to feet is 1 yard = 3 feet
Therefore;
1 cubic yard = 1 yard × 1 yard × 1 yard = 3 feet × 3 feet × 3 feet = 27 cubic feet
∴ 2 cubic yard = 2 × 1 cubic yard = 2 × 27 cubic feet = 54 cubic feet
1 cubic yard = $30
∴ 2 cubic yard = 54 cubic feet = 2 × $30 = $60
Solve for the unknown angles. Justify your answers with steps (do not just provide answers)
Answer:
PNQ=117
LKQ=102
Step-by-step explanation:
LKQ=180-78=102
KQN=180-67=113
LNQ=360-82-102-113=63
PNQ=180-63=117
Answer:
∠ LKQ = 102°, ∠ PNQ = 117°
Step-by-step explanation:
∠ LKQ = 180° - 78° = 102° ( adjacent angles on a straight line )
∠ KQN = 180° - 67° = 113° ( adjacent angles on a straight line )
The sum of the interior angles of a quadrilateral = 360° , then
∠ LNQ = 360° - (102 + 113 + 82)° = 360° - 297° = 63°
Then
∠ PNQ = 180° - 63° = 117° ( adjacent angles on a straight line )
please help me! asap!!
Answer:
C
Step-by-step explanation:
what is 3 over 4 divided by 1 over 6
10 POINTS!! PLEASE HELP!!
Answer:
only the third answer is right.
Step-by-step explanation:
to solve it, we need to bring everything to the same denominator (the expression below the division line) or eliminate it completely.
how do we do it ? by multiplying everything with the same expression, so that we can eliminate the denominator for every term.
when looking for the best option I see that
(x² + 5x + 6) = (x + 2)×(x + 3)
that is great, because this covers all 3 denominators in our main expression.
so, we multiply everything by ((x+2)×(x+3)) and eliminate the denominators and the corresponding part of our multiplier.
that leaves us with
x×(x+3) + 2 = 5×(x+2)
now we simply simplify the expression
x² + 3x + 2 = 5x + 10
x² - 8x - 8 = 0
a squared equation has typically 2 solutions. and they are defined as
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case
a = 1
b = -8
c = -8
x = (8 ± sqrt(64 + 32)) / 2 = (8 ± sqrt(96))/2 =
= (8 ± sqrt(16×6))/2 = (8 ± 4×sqrt(6))/2 = 4 ± 2×sqrt(6)
x1 = 4 + 2×sqrt(6)
x2 = 4 - 2×sqrt(6)
both solutions are different from -2 or -3, therefore -2 and -3 are not solutions at all, and they cannot be extraneous solutions either for that reason.
and since we have 2 perfectly fine solutions, the answer options work no or only one solutions are wrong too.
Use the Factor Theorem to prove x^3 - 13x - 12 is divisible by x^2 – X – 12
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]x^3-13x-12\text{ is divisible by } x^2-x-12[/tex]
We can factor the divisor:
[tex]x^2-x-12=(x-4)(x+3)[/tex]
According to the Factor Theorem, if we have a polynomial P(x) divided by a binomial in the form of (x - a) and if P(a) = 0, then the binomial is a factor of P(x).
Our two binomial factors our (x - 4) and (x + 3). Thus, a = 4 and a = -3.
Evaluate the polynomial for both of these factors:
[tex]P(4)=(4)^3-13(4)-12=0[/tex]
And:
[tex]P(-3)=(-3)^3-13(-3)-12=0[/tex]
Since both yielded zero, the original polynomial is divisible by both (x - 4) and (x + 3) or x² - x - 12. Hence:
[tex]x^3-13x-12\text{ is indeed divisible by } x^2-x-12[/tex]
Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?
Answer:
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Step-by-step explanation:
Let the cost of cake be C.Let the cost of pie be PC = 2P .....equation 1
4C + 2P = 20 .....equation 2
Substituting eqn 1 into eqn 2, we have;
4(2P) + 2P = 20
8P + 2P = 20
10P = 20
P = 20/10
Pie, P = $2
Next, we would determine the cost of a cake;
From equation 1;
C = 2P
Substituting the value of "P" we have;
C = 2 * 2
Cake, C = $4
Therefore, we would have the following answers;
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Check:
From equation 2;
4C + 2P = 20
4(4) + 2(2) = 20
16 + 4 = 20
20 = 20
What is the value of the interquartile range of the data below? A box-and-whisker plot. The number line goes from 0 to 52. The whiskers range from 10 to 51, and the box ranges from 29 to 41. A line divides the box at 32. 6 12 14 24
Answer:
12
Step-by-step explanation:
The interquartile range is the difference between the lower quartile and the upper quartile
We can find the quartiles at the beginning and the end of the box
At the beginning of the box, we have the lower quartile, while at the end, we have the upper quartile
from what we have ;
The lower quartile is 29 while the upper quartile is 41
So the difference between the two which is the interquartile range is ;
41-29 = 12
Answer:
12
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
1: (C)
2: (C)
3: (D)
4: (A)
5: (D)
Step-by-step explanation:
1: "Which could be the entire interval over which the function, f(x), is negative?"
When f(x) is negative, that means the values under the f(x) column is negative. As you can see, -16 & -8 are the only times when f(x) is negative. To find the interval, we are going to use x-values. Notice how as x continues to decrease, f(x) also decreases. So the answer is (-infinity, -6).
2: "Which equation represents the graphed function?"
Looking at the graph, we see that the y-intercept is (0, -2). However, all the answer choices have the correct y-intercept, so now we must focus on getting the correct slope. The slope is positive, so the answer is either (A) or (C). To find the correct answer, use the rise/run method from (0, -2) to (4, -1). You rise 1 and run 4, so the slope is 1/4. The answer is y = 1/4x - 2.
3: "If f(1) = 10, what is f(3)?"
I honestly don't know how to do this one. I looked it up on Brainly and some other people said the answer is 30. Credits to dragonheartedking on Brainly.
4: "Which table represents a linear function?"
Table A represents a linear function because each time x increases by 1, y increases by the same amount of 4 each time. It doesn't fluctuate like the rest of the answer choices.
5: "How many units below the y-intercept of g(x) is the y-intercept of f(x)?"
The y-intercept is the point where the function intersects with the y-axis. We start from (0, 2) and count the units as we reach (0, -1). The answer is 3 units.
Hope this helps (●'◡'●)
Answer:
Step-by-step explanation:
F(x) = 6x+2, find f (x+3)
Answer:
6x+20
Step-by-step explanation:
F(x) = 6x+2
f(x+3) means replace x with x+3
F(x+3) = 6(x+3)+2
= 6x+18+2
= 6x+20
Answer:
A; F(x+3) = 6x^2 + 20x + 6
Step-by-step explanation:
To find it you just would multiply F(x) onto the other side. So it would look like this:
F(x+3) = 6x + 2 (x+3)
F(x+3) = 6x^2 + 2x + 18x + 6 *combine like terms getting you
F(x+3) = 6x^2 + 20x + 6
Hope this helped!!
(4 1/3-1 2/5) divided 4/15
Answer:
11
Is it (4 1/3-1 2/5) divided by 4/15 I don't really know what you mean
what is the equation of the following line (1,5) and (-1,-5) written in slope-intercept form
Answer: y = 5x
Step by step process: Use the slope form and then substitute in the equation y = mx + b.
solve -5 < 2x+3 >= 7
Answer:
Step-by-step explanation:
so just solve this as if it's
-5= 2x+3
and
2x+3 = 7 ( be careful not to switch sides or the arrow switches too)
the the top equation looks like
-8=2x
-8/2 = x
-4 =x
the bottom equation looks like
2x = 4
x = 4/2
x = 2
now put it back together with the arrows in the same direction :) ( we don't have to worry about switching directions of the arrows b/c we didn't switch side, multiply or divide by a negative, so all good :P)
-4<x<=2
The equation of the line with slope −4 that goes through the point (8,−3)
can be written in the form y=mx+b
where m is:
and where b is:
Answer:
y = -4x + 29
Step-by-step explanation:
-3 = -4(8) + b
-3 = -32+b
29=b
The equation whose slope is -4 and passes through (8,-3) is y=-4x+29 where slope is -4.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?We have been given slope of line being -4 and point through which it passes (8,-3) and we have to find the equation of line.
The equation from two points can be calculated through the following formula:
y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) and slope is m.
Putting the values of points and slope in the formula given above.
y-(-3)=-4(x-8)
y+3=-4(x-8)
y+3=-4x+32
y=-4x+32-3
y=-4x+29
Hence the equation is y=-4x+29 where slope is -4.
Learn more about equation at https://brainly.com/question/2972832
#SPJ2
The probability of obtaining oranges at a local market is [tex]\frac{1}{4}[/tex] and that of mangoes is [tex]\frac{2}{5}[/tex]. Find the probability that a student will obtain oranges and not mango in the market?
Answer:
3/20
Step-by-step explanation:
let P(A)=P(Oranges)
P(B)=P(mangoes)
P(not B)=1-2/5=3/5
P(A not B)=1/4×3/5=3/20
What is the value of expression below when z=5? 5z−4
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
help question on the image
Answer:
Yes Ella has enough to make 30 mince pies
Step-by-step explanation:
Step-by-step explanation:
to make 36 mince pies you will need
400g of butter
500g of flour
300g of sugar
500g of mince meat
2 eggs
Ella has 1000g of butter
1000g of flour
500g of sugar
600g of meat
6 eggs
these ingredients are more than enough because
1000g-400g=600g-butter
1000g-500g=500g flour
500g-300g=200g sugar
600g-500g=100g mince meat
6-1= 5 eggs
if she were to follow the 36 pie recipe, which is two times the 18 pie recipe
but like I don't know, because it says a recipe for 18 mince pies, but in the box it says 12
Find side b, in triangle ABC. if angle B =42 degrees, a=6, c=4
Answer:
There is no valid value for b
Step-by-step explanation:
We solve the above question using the law of cosines
b² = a² + c² - 2ac × Cos B
B = 42°, a = 6, c = 4
b² = 6² + 4² - 2 × 6 × 4 × Cos 42
b =√6² + 4² - 2 × 6 × 4 × Cos 42
b = √36 + 16 - 48 × Cos 42
Solving the above question, there is no valid value for b
Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. none of these
B. quadratic
C. exponential
D. linear
Answer:
T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
The given situation is linear equation in T and t. so option D is correct option.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
T = -t / 4 + T0
where t is the temperature in minutes elapsed.
T is the final temperature.
T0 is the initial temperature.
We need to find the type of model best fits the given situation.
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
Therefore, The given situation is linear equation in T and t. so option D is correct option.
Learn more about equations here;
https://brainly.com/question/10413253
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Factor of 3x^3-x^2-20x-12
Answer:
(−3)(+2)(3+2)
Step-by-step explanation:
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(32+8+4)
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(+2)(3+2)
Solve for ż in the following equation: 1 - iz=-1 +iz (where i? = -1). Simplify your answer as much as possible.
Answer:
z = -i
Step-by-step explanation:
1 - iz=-1 +iz
Add iz to each side
1 - iz+iz=-1 +iz+iz
1 = -1 +2iz
Add 1 to each side
1+1 = -1+1 +2iz
2 = 2iz
Divide by 2
2/2 = 2iz/2
1 =iz
Divide by i
1/i = iz/i
1/i =z
Multiply the left by i/i
i/i^2 = z
i/-1 =z
-i =z
Please help me solve this, and show your work
Answer:
16. 25/45 ; 18/45
17 4/7; 4/7
Step-by-step explanation:
5/9 and 2/5
The common denominator is 45
5/9 * 5/5 = 25/45
2/5 *9/9 = 18/45
4/7 and 12/21
Simplify 12/21 by dividing by 3 in the numerator and denominator
12/21 = 4/7
4/7; 4/7
The common denominator is 7
16:25/45;18/45
17: 4/7;4/7
Answer:
16:5/9;2/5
Common denominator is 9*5=45
now
make a equal denominator
5/9=5/9*5/5=25/45
2/5=2/5*9/9=18/45
and
17: 4/7;12/21
common denominator =7
4/7
12/21=4/7
