Answer:
2.37 ; 1.6731
Step-by-step explanation:
Given the data:
X:___0____1____2____3____4____5
P(x):_0.10_0.15_0.26__0.30_0.15__0.04
the expected frequency of floods per town per summer
Σ(flood per Town per summer) * probability
Σ(X)*p(x)
Σ(0*0.10) + (1*0.15) + (2*0.26) + (3*0.30) + (4*0.15) + (5*0.04)
= (0 + 0.15 + 0.52 + 0.90 + 0.60 + 0.2)
= 2.37
Variance (s²) :
Σ[x². P(x)] - u²
Using an online variance calculator to save computation time :
s² = 16731 / 10000
s² = 1.6731
Factor (5x − 6)2 − (4x − 3)2.
Answer:
9( x-3) (x-1)
Step-by-step explanation:
(5x − 6)^2 − (4x − 3)^2
This is the difference of squares a^2 - b^2 = ( a-b) (a+b)
(5x − 6)^2 − (4x − 3)^2 where a = 5x-6 and b = 4x-3
( 5x-6 - (4x-3)) ( 5x-6 +(4x-3)
Distribute
( 5x-6 -4x+3) ( 5x-6 +4x-3)
Combine like terms
(x-3) ( 9x-9)
Factor out the 9
9( x-3) (x-1)
Prove: (1+tanθ)/(1+cotθ )=secθ/cscθ
(1 + tanθ) / (1 + cotθ) = (1 + sinθ / cosθ) / (1 + cosθ / sinθ)
(1 + tanθ) / (1 + cotθ) = ((cosθ + sinθ) / cosθ) / ((sinθ + cosθ) / sinθ)
(1 + tanθ) / (1 + cotθ) = (1 / cosθ) / (1 / sinθ)
(1 + tanθ) / (1 + cotθ) = secθ / cscθ
What is the midpoint between the following two points
(3,-2) & (9,2)
A) (6,0)
B) (0,6)
C) (3,1)
D) (3,2)
Answer:
B, (6,0)
Take the average of the x values and the average of the y values:
(3+9)/2 = 6
(-2+2)/2 = 0
This means the answer (the average (midpoint) of the two points) is (6,0)
Identify the binomial
Step-by-step explanation:
where are the numbers?
The point slope form of a line that has a slope of 1/4 and passes through the point (3,0 ) is shown .
Y-0= 1/4 (x-3)
What is the equation in slope intercept form?
Answer:
Y=1/4x-3/4
Step-by-step explanation:
I got this answer right on my questions
You have 8 quarts of brown stock. You need 3 cups to make one serving of braised short ribs. How many servings can you make? (don't include partial portions)
Answer:
You can make 2 servings.
Step-by-step explanation:
Hi there!
3 cups makes one serving, so 2 servings require 6 cups. Since you don't have 9 cups to make 3 servings, and you don't want partial portions, you can only make 2 servings with 6 cups and have 2 cups left over.
Have a great day!
(I'd also appreicate it if I got a rating and maybe a Thanks please!)
In a geometric series
If a1=6 and r=5 find s9
Answer:
I have no idea how to solve that but can you teach me how !
(3x²+5x)-(2x²-3x) simplify
Find the area of the figure
147 square meters.
We can break it up into two rectangles, then add the values together.
[tex]a = b \times h[/tex]
Rectangle #1 (verticle)
[tex]a = (6) \times (15 + 3)[/tex]
[tex]a = (6) \times (18)[/tex]
[tex]a = 108m^{2} [/tex]
Rectangle #2 (horizontal)
[tex]a = (13) \times (3)[/tex]
[tex]a = 39 {m}^{2} [/tex]
Add them together:
[tex]39 {m}^{2} + 108 {m}^{2} = 147 {m}^{2} [/tex]
Help!!!!!! I need to know if it's right!
Answer:
I think it's right
Step-by-step explanation:
as -1×-1=+1 (positive 1)
which is different from the answer in step 1 because you needs to get -1 for the correct answer.
-1(x-1)= -x+1
the real answer is -1(x+1)= -x-1
Julian factored -1 incorrectly in the second step. The correct option is B.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Given polynomial 2x⁴ + 2x³ - x² - x will be solved as below:-
P = 2x⁴ + 2x³ - x² - x
P = x ( 2x³ + 2x - x - 1 )
P = x ( 2x² [ x + 1 ] -1 ( x + 1 )
P = x ( 2x² - 1 ) ( x + 1 )
Therefore, Julian factored -1 incorrectly in the second step. The correct option is B.
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cara is making a beaded necklace for a gift. she wants to spend more than $25 because she doesn´t want to seem like a cheap friend but no more than $60 because she isn´t that good of a friend either.the bead store charges $3 for large beads and $2 for small beads.if she buys 5 large beads, how many small beads can she buy to stay within her budget.
Answer:
5 small beads!
Step-by-step explanation:
Hey there!
If large beads are $3 each, and she buys 5 of them, our equation is $3 x 5 which equals $15. So Cara will spend $15 buying large beads.
Cara has $10 left now, because $25 - $15 = $10. Since each small bead is $2, we divide $10 (the total amount of money she has) by $2 (the cost of each bead). This will tell us how many she can buy! So $10 ÷ $2 is 5. Cara can buy 5 small beads!
I hope this helped you! Rating my answer and giving it a Thanks would sure help me out!
Have a wonderful day!
State weather the following can be expressed as a ratio 12g and 45kg
Answer:
The anwser is always Jesus
Step-by-step explanation:
Also there is no following
The ratio of 12gm and 45 kg in simplest form is 3750 : 1.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Are two weights in different measurement forms, To write them as a ratio we have to make their scale of measurement equal.
We know 1kg is equal to 1000 grams.
Therefore, 45 kg is equal to 45000 grams.
So, The ratio of 12gm and 45 kg is 45000 : 12.
22500 : 6.
11250 : 3.
3750 : 1.
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The local school bought $1,464 worth of notebooks for it's $1,464 worth of notebooks for it's students. If the notebooks cost $1.22 each how many notebooks did the $1,464 worth of notebooks for it students. If the notebooks cost $1.22 each how many notebooks did the school by?
A. 1,220
B. 1,250
C. 1,500
D. 2,500
Answer:
a
Step-by-step explanation:
Answer:a
Step-by-step explanation:
You have 8 quarts of brown stock.
You need 3 cups to make one serving of braised short ribs.
How many servings can you make?
(don't include partial portions)
Answer:
you can make 10 servings
Step-by-step explanation:
PLSSSSS HELPOLP URGENT!!!!
What are the coordinates of the endpoints of P'Q' after a reflection of PQ
over x = -3?
Find the quotient in SIMPLEST form. 2/5 ÷ 5/8 =
A: 10/40
B: 1/4
C: 16/25
D: 4/5
Answer:
c. 16/25
Step-by-step explanation:
divide
Does the equation y = x/2 represent a proportional relationship
Answer:yes
Step-by-step explanation:Y=x/2 because it goes through the origin
In AFGH, h = 9.6 inches, f = 2.5 inches and 2G=78°. Find the length of g, to the
nearest 10th of an inch.
Answer:9.4
Step-by-step explanation:
comment section
) How many digits are in the number 13,692,540?
In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women who gave birth in 1989 at a hospital in Massachusetts. In the group, 74 of the women were categorized as smokers and 115 as non-smokers. The difference in the two sample mean birth weights (non-smokers minus smokers) is 281.7 grams and the 95% confidence interval is (76.5, 486.9). Which gives the best interpretation of what we can conclude about the impact of smoking on birth weight
Answer:
Given:
Total women - 189
Smokers - 74
Non-smokers - 115
The difference in 2 samples mean birth weight = 281.7 grams
95% confident that the mean weight = between 76.5 grams to 486.9
solution:
The best interpretation would be -
95% confident that the babies of nonsmokers have a mean weight between 76.5 grams to 486.9 grams which is much more than the babies of women smokes by comparing smokers to nonsmokers from given data.
what is the slope if my two points are 3,1 and 3,4?
Convert each of the following percents to FRACTIONS.
11% =
28.5% =
123% =
103% =
7% =
13.3% = HELP PLEASE
Answer:
11/100
123/100
103/100
7/100
Step-by-step explanation:
simplify the answers
3. Use properties of equality to solve the equation for w. 2(w+3) = -2(w-21)
Answer:
w = 9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
:)
Which point is inside of the triangle?
hurry and answer.
Answer:
the answer is C. ............
I do not understand
Answer:
4/7
Step-by-step explanation:
there are 7 shapes in total, 4 of them are hexagons.
Can someone please help me with these 3 questions?
1) Since the angles are congruent, set them up to equal each other, then solve for x: x + 10 = 50. Now solve
2) Since angles AEC and DEB are congruent, set them up also to equal each other, then solve. : 6x + 20 = 10x. Now solve for x
3) Since AEC and DEB are congruent, they have the exact same angle measurement. Because of this, you are able to set the two equations equal to each other, then solve for x. After you have the value of x, you can plug it into 5x + 12 and solve once again, resulting in the answer for the measurement of angle AEC.
Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in 2 hours. Who hikes more quickly?
How is 41/1,000 written as a decimal? Enter your answer in the box.
Answer:
0.041
I know this because 1,000 has 3 zeros, so you would move 41 three places to the right.
The decimal equivalent of the fraction 41/1000 is 0.041.
What is a decimal?A decimal is represented by a dot that separates the whole part and the fractional part of a number. Decimals can also be converted into fractions and vice versa.
Given, a fraction 41/1000, here the numerator is less than the denominator so it is a proper fraction.
Now, As in the denominator we have three zeroes we'll put a decimal three places before the numerator value which is,
= 0.041/1.
= 0.041.
So, 41/1000 is equal to 0.041.
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I need help plzz I need the answer
Example 3 with Try Another One
ë Additional Example 3
)) Explain whether each of the following is a
rational number.
A. 4.078
B. 5.033919
C. 0.20878356
