Answer:
1/7 ;
0.0034
Step-by-step explanation:
Given that:
X = 1/14, 1/7, 3/14
n = number of observations = 3
Since, probability of X is equally likely ;
P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3
The mean, m ;
Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)
= 1/42 + 1/21 + 3/42
= (1 + 2 + 3) / 42
= 6 / 42
= 1/7
The variance :
Σx²*p(x) - m²
((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2
= 0.0238095 - 0.0204081
= 0.0034014
= 0.0034
The ratio of tomatoes to pepper plants in the garden is 5:2. If there are 6 more tomato plants than pepper plants, how many pepper plants are in the garden?
The ratio from tomatoes to pepper plants is 5:2
Meaning there are 5 tomatoes and 2 pepper plants
In order to find a ratio where there are 6 more tomatoes than pepper plants you will have to multiply.
-----
When the ratio 5:2 is multiplied by 2
it equals 10:4
We can stop here because it is shown that now there are 6 more tomatoes than pepper plants.
-----
So there are:
10 tomatoes
and
4 pepper plants!
help me out
14 < n - 22
Answer:
14+22=36
36 is less than n
Step-by-step explanation:
Please help! Find the value of X. Round to the nearest tenth. acellus
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
Solve the formula for the specified variable.
I = Prt
P=
Step-by-step explanation:
I= PRTP=I/RT................Help ASAP!! I’m confised and need help. What is angle 1 in the picture called?? Thanks!!
Answer:
obtuse angle
Step-by-step explanation:
as it is angle 1 is greater than 90
Help! Will give brainliest!
Answer:
6 or 5
Step-by-step explanation:
PLZ HELP I’LL GIVE BRAINLIEST
-7z-2=12.
can u please show the work also
Answer:
z = -2
Step-by-step explanation:
-7z -2 = 12
-7z = 14 (add 2 on both sides)
z = -2 (divide -7 on boths sides)
z = -2
-7z = 12 + 2
-7z = 14
z = -14/7
z = -2
The product of 3 and q increased by 7 is equal to the
sum of q and 3. Find q.
Answer:
-2
Step-by-step explanation:
3q + 7 = q +3
Bring the variables to one side and the numbers to the other
3q - q = 3 -7
2q = -4
q = -2
Hope this helps!
A team has won 51 out of 68 games. Explain how to
use the bar diagram to find the percent of games the
team has won
Answer:
you would divide -> 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
Answer:Divide 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
The table shows the fees to park in a parking lot.
first hour = $1
second hour = $1.50
each additional hour or part of an hour = $2.
How much does it cost to park for 4 1/2 hours?
Answer:
$7.50
Step-by-step explanation:
4 1/2 hours total
1st hour = $1.00 ; 3 1/2 hrs remaining
2nd hour = $1.50 ; 2 1/2 hrs remaining
after 2 hours you pay $2 per hour so 2.5 x 2 = $5.00
What is the length of the base of a right triangle with an area of 20 square meters and a height of 4 meters? 5 m 10 m 80 m 160 m
Answer:
The answer is 10 20/4=5*2=10
Step-by-step explanation:
its 10
A line and a point ____ intersect
Answer: does
Step-by-step explanation:
please help using elimination !
7x+2y=24 8x+2y=30
Answer:
-x=-6
x=6
7(6)+2y=24
42+2y=24
2y=24-42
2y=-18
y=-9
Step-by-step explanation:
3(x-2)+7=2(x+5)
What is the answer to this please
Answer:
x=9
Step-by-step explanation:
distribute: 3x-6+7=2x+10
add like terms: 3x+1=2x+10
add the x's and the integers: x=9
ASAP I WILL GIVE BRAINLIEST
Which statements apply to the expression 5 ?
The answers/options r in the pic
Answer:
ok so in my math class I just learned this so sry if I am wrong but so
Answer:
Options 1, 3, 4, 7
Step-by-step explanation:
I'm guessing you meant the expression 3/5^3.
The base would be 3/5 because that is the number that the exponent is raising.
The exponent is 3 because that's the small number above and to the right of 3/5.
The expanded form is 3/5 × 3/5 × 3/5 because there's an exponent of 3. An exponent means you multiply the number by itself, the number of times it's being raised to. The exponent is 3 and 3/5 is being multiplied 3 times.
The solution would be 27/125 because when you multiply fractions, you just multiply straight across. 3 × 3 × 3 is 27 and 5 × 5 × 5 is 125.
I hope this makes sense, it's kinda hard to make it understandable without being able to actually talk to you.
What is the total surface area of a cube with an edge on 4 1/2 feet
Answer:
What is the total surface area of a cube with an edge on 4 1/2 feet... 121.5 feet
Step-by-step explanation:
Surface area = 6 × 4 1/2 × 4 1/2
Surface area = 121.5
PLZZZZZ HELP IT IS DUE IN 5 MINUTES
In slope-intercept form, the equation of the line with a slope of 7 and a y-intercept of (0, -8) is ________
. Do not include spaces in your answer.
Answer:
y = 7x - 8
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 7
y-intercept b = -8
Step 2: Write Function
Substitute in parts.
y = 7x - 8
how can equations help you model the relationship between two quantities
Answer:
I dosent show anything that I should solve
Step-by-step explanation:
A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions?
Answer:
Either 36,8 × 2,1 or 2,3 × 33,6
Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.
Answer:
14-11.76 = 2.24
2.24×100
14 = 16%
since, the discount percentage is 16%
A. Dan should hope his flight uses configuration B.
B. Dan should hope his flight uses configuration A.
C. Dan is equally likely to get an aisle seat with whichever configuration his flight uses
D. There is not enough information to determine which configuration Dan should hope his flight uses
Answer:
The answer is A.
The deminsions of a rectangler prism are 5cm, 6cm, and Xcm. Its surface area is 148 cm2. Find the other deminsion.
Answer:
The other dimension is x=4 cm
Step-by-step explanation:
Surface Area of a Rectangular Prism
Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:
A = 2(xy + yz + xz)
We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:
148 = 2(x*5 + 5*6 + x*6)
Dividing by 2:
74 = x*5 + 5*6 + x*6
Operating:
74 = 5x + 30 + 6x
Simplifying:
74 = 11x + 30
Subtracting 30:
44 = 11x
Dividing by 11:
x = 4 cm
The other dimension is x=4 cm
Need help with math points and brainlest
Answer:
22.5 cm
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
13.5 / 9 = x / 15
Evelyn jogs around the park every 4 1/4 minutes. How many laps will she jog in 38 1/4 minutes?
34
43
42 1/2
9
Answer:
Step-by-step explanation:
38.25 minutes × (1 lap)/(4.25 minutes) = 9 laps
so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get?
Answer:
6
Step-by-step explanation:
3 × (10 - 6) ÷ 2 =?
The strategy that we are using here is PEMDAS:
First, you subtract 6 from 10 which is 4. 10 - 6 =4
Next, you multiply 4 by 3. 4 × 3 = 12
Then, you divide 12 by 2. 12 ÷ 2 = 6
Your answer is 6.
Your welcome. Showed my work below.
what is 3/5 + 3/2 ?
I’ll mark as BRAINLIEST
Answer:
2 1/10
Step-by-step explanation:
Skye needs 50 g of sugar to make 30 biscuits.
She also needs
three times as much flour as sugar
two times as much butter as sugar
Skye is going to make 120 biscuits.
(a) Work out the amount of flour she needs.
Answer:600g
Step-by-step explanation: 50x3=150 150x4=600 since 30x4=120
If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all
Answer: There are 123 pieces in total.
Step-by-step explanation: If you have forty-one pencils, and each has three pieces of lead, you multiple forty-one by three.
Total lead = 41 * 3
Total lead = 123 pieces