Given parameters:
Percentage of enrollment of 3-year-olds = 40%
Unknown:
Probability that a randomly selected 3-year-old is enrolled in a day care = ?
Probability is the likelihood of an event to occur.
Probability = [tex]\frac{Possible outcome}{Total out come}[/tex]
In this problem, 40% of the total number of 3-year-olds are enrolled in a day care.
We can say, out of every 100 3-year-olds, 40 of them will enroll in day care.
The possible enrollment is 40 and the total is 100;
Input the parameters and solve;
Probability = [tex]\frac{40}{100}[/tex] = [tex]\frac{2}{5}[/tex]
The probability that any randomly selected 3 year old is enrolled in day care is [tex]\frac{2}{5}[/tex]
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)
-3/5x=6
The value for x?
Answer: x = -10
Step-by-step explanation: Times both sides by 5 then divide by -3.
PLSSSSS HELPOLP URGENT!!!!
What are the coordinates of the endpoints of P'Q' after a reflection of PQ
over x = -3?
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 !
what is the slope if my two points are 3,1 and 3,4?
Length in centimeters of a 1 foot ruler
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
Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in 2 hours. Who hikes more quickly?
) 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.
Identify the binomial
Step-by-step explanation:
where are the numbers?
I need help plzz I need the answer
what is the sum of 1/3+3/6=
Answer:
5/6
Step-by-step explanation:
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]
Tap to show graph...
the endpoints of a diameter are
(
2
,
12
)
(
2
,
12
)
and
(
−
10
,
−
4
)
(
-
10
,
-
4
)
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
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.
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 week, 12 hens laid 84 eggs. What is the unit rate for eggs per hen?
Answer:
7 eggs per hen
Step-by-step explanation:
There were 84 eggs laid between the 12 hens. That means the 84 eggs are split among the 12 hens. 84 divided by 12 = 7.
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.
learn more about decimal numbers here :
https://brainly.com/question/4708407
#SPJ2
if f(x) = 2x + 4 and g(x) = 6x - 10, find f(4) - g(2)
Answer:
f(4) - g(2) = 10
Step-by-step explanation:
[tex]f(x) = 2x + 4 \\ f(4) = 2 \times 4 + 4 = 8 + 4 = 12 \\ \\ g(x) = 6x - 10 \\ g(2) = 6 \times 2 - 10 = 12 - 10 = 2 \\ \\ f(4) - g(2) = 12 - 2 \\ \\ \huge \red{ \boxed{ f(4) - g(2) = 10}}[/tex]
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
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
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!
Find the value of the expression 30 – 3 2÷ 3 + 8(2).
Answer:
44
Step-by-step explanation:
30 - 3x2÷3 + 8x2
= 30 - 6÷3 + 16
= 30 - 2 + 16
= 28 + 16 = 44
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
i just need x and y please
Answer:
Step-by-step explanation:
Since you know both triangles are congruent, you can say that the corresponding sides are equal. For example, you can say:
17x+3 = 57
because they are corresponding sides of both triangles. To further solve the equation:
17x = 54 --> x = 54/17 --> 3 3/17
Same thing for Y. lines PX and FD are congruent, so, you can say:
4y-3 = 54
4y=57
y= 14.25
Which point is inside of the triangle?
hurry and answer.
Answer:
the answer is C. ............
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)
(3x²+5x)-(2x²-3x) simplify
