Answer:
6. mean = 1.4
7. variance = 1.64
standard deviation = √1.64
Step-by-step explanation:
6.
[tex]\textsf{mean }\mu=\[ \sum [x \cdot p(x)][/tex]
⇒ [tex]\mu[/tex] = 0 x 0.4 + 1 x 0.1 + 2 x 0.2 + 3 x 0.3 = 1.4
7. see attached for completed table
[tex]\textsf{variance }\sigma^2=\[ \sum [(x -\mu)^2 \cdot p(x)][/tex]
Therefore, variance is the total of the last column:
[tex]\sigma^2[/tex] = 0.784 + 0.016 + 0.072 + 0.768 = 1.64
standard deviation is the square root of variance:
[tex]\sigma=\sqrt{1.64}[/tex]
10) Circle the two fractions that are equivalent in each set 1/4 3/12 2/6
Answer:
1/4 and 3/12
Step-by-step explanation:
1/4=0.25
3/12=0.25
Use the substitution method to find the slope and y-intercept.
Answer:
y=4x+7
Step-by-step explanation:
Answer:
slope: 4y-intercept: 7Step-by-step explanation:
Substituting the given table values into the desired equation for a line will give two equations in two unknowns. These can be solved for the slope and y-intercept.
Equation we're substituting into:
y = mx +b
11 = m(1) +b . . . . . substitute (x, y) = (1, 11)
15 = m(2) +b . . . . substitute (x, y) = (2, 15)
Subtracting the first equation from the second gives ...
(15) -(11) = (2m +b) -(m +b)
4 = m
Substituting this into the first equation gives ...
11 = 4 +b
7 = b . . . . . subtract 4
The slope is 4; the y-intercept is 7.
To increase an amount by 48% multiply by
0.48
Step-by-step explanation:
to increase an amount by 48%
you divide 48 with 100 to find the multiplier
which is 0.48
multiply 0.48 to an number to find 48%
Logan owns 2/3 of an acre of farmland. He grows beets on 1/3 of the land. How many acres of land does he grow beets?
Answer:
2/3 x1/3=2/9=0.22
Step-by-step explanation:
he own 2/3 and he grow 1/3 the total land grow beat 2/9
The large triangle is made of four rows
of small triangles. Some of the small
triangles have three corners that are on
the large triangle. Shade each of these
small triangles.
Answer:
you shade the bottom 4 triangles
Step-by-step explanation:
all of the small triangles on the bottom have a corner that include the larger triangle
Answer:
You should shade all 4 of the bottom triangles. Hope this helps!
3. Before tax, Louise spent a total of $38 on the items below at Starbucks
* 3 tall chocolate mochas for $3.70 each
* 2 grande caramel macchiatos for $4.45 each
* 4 venti Vanilla Bean Frappuccinos for $4.50 each
What percent of the $38 did Louise spent on Vanilla Bean Frappuccinos?
What is the answer
Answer:
47.4%
Step-by-step explanation:
The total amount Louise spent on Frappuccinos was 4×$4.50 = $18. The fraction that is of the total is ...
Fraps/Total = $18/$38 = 9/19
That can be converted to a percentage by multiplying by 100%:
9/19 = (9/19)×100% ≈ 47.4%
Louise spent 47.4% of the $38 on Frappuccinos.
_____
Additional comment
The decimal equivalent of 9/19 is a repeating decimal with an 18-digit repeat.
the police use a speed gun during one hour 6 out of 25 cars went over the limit what percent of cars were over the speed limit
What is the area of the trapezoid with height 10 units?
If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
For each triangle, find the value of the variables
Answer:
Step-by-step explanation:
ΔEFG is an isosceles triangle. So, the angles opposite to equal side will be congruent. {Isosceles triangle property}
x = 46°
ΔEHG , two angles are equal. So, it is an isosceles triangle.
Sides opposite to equal angles are congruent. {Converse isosceles triangle property}
y = GH
y = 8
help pleaseee and tyyy
Answer:
Step-by-step explanation:
Givens
d = 3.5
r = d / 2
r = 3.5/2
r = 1.75 in
h = 4 in
Formula
V = pi r^2 h
V = (1/3) *3.14 * 1.75^2 * 4
Solution
V = 12.66
How do we use negative numbers in real life?
do this and I will give u points
Answer:
7. A.Number of absentees in a class
8. A.Arithmetic mean
Step-by-step explanation:
Keep Safe all:)
parsnips were priced at 3 pounds for $1.23 what was the price per pound? how much would 10 pounds of parsnips cost?
Answer:
The answer is $4.10
Step-by-step explanation:
If 3 pounds = $1.23
1 pound =1.23/3
= 0.41
Therfore 10 pounds = 10× 0.41 = $4.10
Convert to a decimal. Be sure to mark repeating decimals
Answer:
00.35 prett simple this fraction
How do you solve 2x-3y=-4 and x=7-3y by substitution?
Answer:
[tex](1, 2)[/tex]
Step-by-step explanation:
We can solve this system using substitution.
In this case, we can substitute 7-3y for x, as they are of equal value.
Therefore...
[tex]2x-3y=-4\\2(7-3y)-3y=-4\\14-6y-3y=-4\\14-9y=-4[/tex]
Subtract 14 from both sides:
[tex]-9y=-18[/tex]
Divide both sides by -9
[tex]y=2[/tex]
Now, substitute 2 for y to solve for x:
[tex]x=7-3y=7-3(2)=7-6=1[/tex]
Therefore the solution to this system of equations is:
[tex](x, y)=(1, 2)[/tex]
Benjamin left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Benjamin is xx minutes after he left his house, until he got back home.
Answer:
whats the question??
Step-by-step explanation:
the box plot below represents some data set. What is the value of the median
Answer:
41
Step-by-step explanation:
the median is the line that's in the middle of the box
Answer:
50
Step-by-step explanation:
It would be 50 since it is in the middle
a square has a perimeter of 60 ft what is the area
Answer:
3600
Step-by-step explanation:
60×60=3600= 60^2 one side is 60 and another is 60 all sides are 60
Answer:
225 ft squared
Step-by-step explanation:
Perimeter=60 ft
Length of one side= 60/4 =15 ft
area= (15x15) = 225 ft squared
Solve:
Picture Below
Answer: 8/3 or 2 2/3
In the pattern what is the ratio of black squares to gray squares?
1:2
Looking at the image, there are 2 grey squares and 1 black square. Since the question is asking how many black squares to grey squares, it would be a 1:2.
Write y=3/5x+7 in standard form
Answer:
3x-5y=-35
Step-by-step explanation:
I have no clue what the step by step explanation i looked it up
what is this i'm very confused
Answer:
That's the symbol for pi
Step-by-step explanation:
Answer:
10pi = 31.41592653 . . . .
Step-by-step explanation:
10 times pi is shifting everything 1 decimal place to the left
pi is about 3.141592 . . . .
help pls i dont get this and it needs to be done before we leave
Answer: 2210.6
Step-by-step explanation:
[tex]V=\pi (8)^{2} \cdot 11 \approx 3.14 \cdot 8^{2} \cdot 11 \approx 2210.6[/tex]
In a zoo deers and lions are in ratio 5/2.If there are 20 deers how many lions are there?
Answer:
There should be 8 lions
Step-by-step explanation:
If the deer lion ratio is 5 to 2 then just divide 20 by 5, which leaves you with 4, and times it by 2 giving you 8
Work out the lengths of sides a and b. Give your answers to 1 decimals place. (Pythagoras theoram
Step-by-step explanation:
h²=o²+a²
a²=8²+5²
a²=64+25
a²=89
a=√89
a=9.433
To one decimal place it is 9.4
for b,
h²=o²+a²
17²=b²+12²
289=b²+144
289-144=b²
145=b²
b=√145
b=12.041
To one decimal place it is 12.0
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
b
Step-by-step explanation:
B. −9.1(−4+12)
They distribute to make − 9.1 (− 4) − 9.1 (12)
Distribution is to multiply one value each from the value outside the parentheses (from the left side)
I would say C.
When you distribute, you take the plus/minus along with the constant behind it, which in this case would give you negative 12 in answer C.
And distributing is multiplying each value in parentheses by the one outside, so it would be 9.1(-4) and 9.1(-12)
Pythagorean theory formula and thank you :)
Answer:
B.
Step-by-step explanation:
4² + 12² = c²
16 + 144 = c²
160 = c²
√160
:)
Answer:
[tex]c=\sqrt{160}[/tex]
Step-by-step explanation:
Pythagorean theory formula:-
[tex]a^2+b^2=c^2[/tex]
Where..
a= 4, b= 12, c= x
[tex]4^2+12^2=x^2[/tex]
[tex]16+144=x^2[/tex]
[tex]160=x^2[/tex]
[tex]\sqrt{160}=\sqrt{x^2}[/tex]
[tex]x=\sqrt{160}[/tex]
How do you simplify 35/100
Answer:
35/100
Step-by-step explanation:
it would be 7/20 because both the numerator and denominator are divisible by the number 5.
An 760g boulder has a density of 8 g/cm^3 What is the volume of the boulder?
Answer:
95 g/cm^3
Step-by-step explanation:
We have : Volume = mass / density
Replace the numbers :
V = 760 / 8 = 95 g/cm^3
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.
y =
y = 1 + 2
y = - - 2
y =
-- +2
y =
y =
Linear Model
Inverse
4r + 3y = 6
31 - 4y = 6
4x – 3y = -6
3x + 4y = -6
Answer:
[tex]y = \frac{ - 3}{4} x + \frac{3}{2} \\ y = \frac{4}{3} x + 2 \\ y = \frac{3}{4} x - \frac{3}{2} \\ y = \frac{ - 4}{3} x - 2[/tex]
Step-by-step explanation:
Please see the attachment.