Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.
sigma squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction. = StartFraction 9 squared minus 32 squared + 12 squared + 0 squared + 11 squared Over 5 EndFraction. = StartFraction 81 minus 1,024 + 144 + 0 + 121 Over 5 EndFraction. = StartFraction negative 678 Over 5 EndFraction. = negative 135.6
What is the first error she made in computing the variance?
Emi failed to find the difference of 89 - 78 correctly.
Emi divided by N - 1 instead of N.
Emi evaluated (46 - 78)2 as -(32)2.
Emi forgot to take the square root of -135.6.
Answer:
135.6
i think
Step-by-step explanation:
Emi evaluated (46 - 78)² as -(32)². The variance of the given data is 274. Therefore, option C is the correct answer.
Given that, the population data set is 87, 46, 90, 78, and 89.
Here, mean = [tex]\bar x[/tex] =78 and n=5
We know that, mean [tex]\bar x=\frac{\sum x_i}{n}[/tex] and variance = [tex]\sigma^2=\frac{\sum (x_i-\bar x)^2}{n}[/tex].
Here, σ² = [(87-78)²+(46-78)²+(90-78)²+(78-78)²+(89-78)²]/5
= (9²+(-32)²+12²+0²+11²)/5
= (81+1024+144+121)/5
= 1370/5
= 274
So, the variance is 274.
Therefore, option C is the correct answer.
Learn more about the variance here:
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Pls help me I don't understand!!!!!!!!
Answer:
13 large 8 small
Step-by-step explanation:
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what is 3040-17+6987x987654
Reat me 1-10
Answer:
6900741521
u cool
i guess
imma guy so...imma say u look 6/10
Step-by-step explanation:
Rahim was asked to make p the subject of this formula
Q = -7
He started his answer as follows
3Q = p - 21 hence p =
Complete Rahim's final answer.
Answer:
P =3Q +21
Step-by-step explanation:
Given: Rahim was asked to make p the subject of this formula
Q = p/3 - 7
He started his answer as follows
3Q = p - 21 hence p =
To Find, Complete Rahim's final answer.
Solution:
Q = p/3 - 7
Multiply both sides by 3
3Q = 3(p/3 - 7)
3Q = 3 × p/3 - 3 × 7
3Q = p - 21
Adding 21 both sides
3Q + 21 = p -21 +21
3Q + 21 = p
interchange sides
p = 3Q + 21
hence p =3Q +21
A batch of 24 cupcakes requires 9 ounces of flower. Julio made 132 cupcakes for the bake sale. How many pounds and ounces of flower did he use?
Answer:
49.5 ounces the flower
3 pounds, 1.5 ounces
Step-by-step explanation:
Given that :
24 cupcakes 9 ounces of flower
Number of ounces of flower required for 132 cupcakes will be x
Using cross multiplication method :
24 cupcakes = 9 ounces
132 cupcakes = x ounces
Cross multiply :
24 * x = 132 * 9
24x = 1188
divide both sides by 24 to isolate x
x = 49.5
Hence, 49.5 ounces the flower is required for 132 cupcakes
To express in pounds :
1 pound = 16 ounces
49.5 ounces = 3 pounds 1.5 ounces
What are these answers please and thank youu??
Answer:
7
13
19
28
Step-by-step explanation:
y= 1 + 3x
the first one is 2. we replace x with 2. now we have 1+3*2. We would have to multiply 3 and 2 which is 6. Now we have 1+6. which equals 7. Next one is 4 times 3 equals 12. 12 + 1 =13. Next one 6 times 3 equals 18. 18 + 1 = 19. The same thing for the next one
A right rectangular prism is 6 cm by 14 cm by
5 cm. What is the surface area of the right
prism?
Step-by-step explanation:
answer is 360 square centimeters
convert 17584000cm3 to kl
Answer:
17.58 KL
Step-by-step explanation:
.
Answer:
17.584 kl.
Step-by-step explanation:
1 kl = 1,000,000 cm^3.
So the answer is 17.584 kl.
Two frogs had a jumping contest. The heights they jumped are shown below.
Frog one jumped 70cm
Frog two jumped 850mm
What is the difference between the distances, in millimeters?
Answer: 150mm
Step-by-step explanation:
We should note that 10 millimeter = 1 centimeter. Therefore, 70cm to mm will be:
= 70 × 10 = 700mm
Frog one jumped 70cm = 700mm
Frog two jumped 850mm
The difference between the distance will be:.
= 850mm - 700mm
= 150mm
Use picture
Identify all values of x that make the equation true.
1.
2+1 =
2-15
2+11
1
2+5
1
O x=-11,-5
O x=-2, -7
x=11,5
x=2, 7
A parabola is graphed such that the axis of symmetry is x = 3. One of the x-intercepts is (5, 0). What is the other x-intercept?
The axis of symmetry is the fold line that splits the parabola down the middle.
Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.
So if we know the axis of symmetry is x = 3 and one of our points
has the coordinates (5, 0), the other point will have the coordinates (3, 0).
The axis of symmetry is always halfway between the x-intercepts.
whats the answer on this question
k + 12 = g + 12
Can someone help me pretty please?
find value of x. 58degrees 22 side length (right angle triangle)
Answer:
638
Step-by-step explanation:
BRAINLIEST!!! SEE BELOW!!
plzz help....
Answer:
D. Survey every 10th customer to enter the store
plz mark as brainliest
Answer:
D. Survey every 10th customer to enter the store
Step-by-step explanation:
have a good day!
Directions: Write your scale factor as a fraction. For example, if your scale factor is you should type
1/2. Make sure you completely simplify all fractions!
The polygons below are similar. Give the scale factor of figure B to figure A.
Answer:
scale factor of 4
Step-by-step explanation:
16÷4=4
8÷2=4
Give each trig ratio as a fraction in simplest form.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
sin(D) = 20/29
D = arcsin(20/29)
D=43.60281897 °
cos( 43.60281897 °)= DF / 29
DF = 29*cos( 43.60281897 °)
DF = 21
sin(D) = 20/29
cos(D) = 21/29
tan(D) = 20 / 21
sin(E) = 21/29
cos(E) = 20/29
tan(E) = 21 / 20
What is the value of x?
Enter your answer in the box.
Answer:
4
Step-by-step explanation:
This is a pair of special right triangles
in RST its 30-60-90 triangle
It's RT will be 4
then in triangle RQT it is 45-45-90 triangle
It's two sides are always equal so RQ = 4 as well
A bag contains red and blue marbles, such that the probability of drawing a blue marble is an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. What is the range of the random variable? a. {1, 2, 3} c. {6, 7, 8} b. {0, 1, 2} d. {8, 9, 10} Please select the best answer from the choices provided A B C D
Answer:
Step-by-step explanation:
a
how do I work it out ?
Answer:
x - y = 5
Explanation:
As you can see in the first problem the ration is x to y = 8 to 3. This means for every 8 x values, there are 3 y values. Therefore, x - y should be the same as 8 - 3, which is 5.
help me pls, question is on the picture
Answer:
I just learned this about a few weeks ago I hope this helps.
Step-by-step explanation:
Since it's cosine you're only looking at Adjacent and the hypotenuse which the adj is 20 and the hyp is 25 so since cosine is adj/hyp you do 20/25 then simplify it to 20/25 divide both by 5 so it's simplified to 4/5.
Then you do Cos-1(4/5)=36.869 which is rounded to the tenth 36.9 but rounded to the hundredth 36.87.
Hope this helps
Find the measure of angel 3
Answer:
100
Step-by-step explanation:
Remark
If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to
Vertically opposite angle = 1/2 (arc1 + arc2)
Givens
Arc1 = 60
Arc2 = 100
Solution
The red dot angle = 1/2 (60 + 100)
The red dot angle = 1/2(160)
The red dot angle = 80
Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.
<3 and red dot = 180
<3 + 80 = 180 Subtract 80 from both sides
<3 = 180 - 80
<3 = 100
A washing machine uses 27 gallons of water to wash 3 loads of clothes. How many gallons of water would be used to wash 14 loads of clothes?
Answer:
126 Gallons
Step-by-step explanation:
Take 27/3 to find how many gallons it takes for 1 load which is 9
Then multiply 9 (the gallons it takes for one load) by 14 to get 126 :)
70% of the books on a bookshelf are English books. If there are 35 English books on the bookshelf, find the number of books on the bookshelf.
Answer:
I'm pretty sure it would be 50 books on the shelf
Which one is correct?
Answer:
720cm^2
Step-by-step explanation:
i dont think this is right answer
Answer:
720cm^2
Step-by-step explanation:
pls dont report
can someone help me?? i’ll mark brainlist
Please help! Factor out the GCF:
Answer:
35(2n + 1) A is correct
Multiply and you'll get
70n + 35
Step-by-step explanation:
35 is the greatest factor
70n / 35 = 2n
Answer:
35(2n + 1)
Step-by-step explanation:
What is the measurement of R ?
Answer:
in a rhombus opposite angles are equal therefore it's also 135
In the figure, AB is tangent to circle C. Find the length of DB.
Answer:
8.5
Step-by-step explanation:
First we need to get BC using the pythagoras theorem
BC² = AC² + AB²
BC² = 8² + 15²
BC² = 64+225
BC² = 289
BC = √289
BC = 17
DB = 1/2BC
DB = 1/2 * 17
DB = 8.5
Hence the length of DB is 8.5
A triangular pyramid has a height of 27 meters and a base with an area of 575 square meters. What is the volume of the pyramid?
Answer:
5175cm³
Step-by-step explanation:
Volume =1/3 base area * height
1/3 *575*27
=5175cm³