Answer:
Boys ratio- 5/12 girls ratio 7/12 dont think you can simplify
Step-by-step explanation:
Answer:
5 = Boys 7 = Girls
Step-by-step explanation:
Boys:Girls = 5:7. I hope this helps :)
A wooden roller coaster contains a run in the shape of a sinusoidal curve, with a series of hills. The crest of each hill is 108 feet above the ground. If it takes a car 1.9 seconds to go from the top of a hill to the bottom (4 feet off the ground), find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.
Answer:
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Step-by-step explanation:
We are given that
Height of crest, h=108 feet
Time for one cycle, T=1.9 s
We have to find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.
We are given
[tex]y=Asin(\omega t-\phi)+B[/tex]
Amplitude,[tex]A=\frac{108-4}{2}=52 feet[/tex]
[tex]B=A+4=52+4=56 feet[/tex]
[tex]\omega=\frac{2\pi}{T}[/tex]
Using the formula
[tex]\omega=\frac{2\pi}{1.9}=3.3/s[/tex]
We assume,
Horizontal shift [tex]\phi=-\frac{\pi}{2}[/tex]
Substitute the values
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Hence, the sinusoidal function that models the motion of the coaster train during this run starting at the top of a hill is given by
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Add 3/10+ 33/100+ 1+ 7/10 ( in fraction form) (this is 4th grade not middle school) please help
Step-by-step explanation:
Please refer to the attachment
Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%
Answer:
5.5%
Step-by-step explanation:
the pizza is free 5.5 so he need to deliver the pizza on time
72 is 8 times as many as 64
Answer:
False.
Step-by-step explanation:
72 does not equal 64x8.
Hope I helped!
parent function is y = x + 4. If that parent function is vertically stretched to become 4 times larger than the parent function, what is the new function it becomes after this transformation
Simplify: this please
Answer:
[tex]16\sqrt{3}[/tex], so therefore:
none of the above
Pn= 14 ao=6
Please help me
creo que es 231 en total :7-2:al 231
what does 6 × 7/10 equal?
I’ll give brainliest please help
answer is 11 boy now enjoyyyyyyyyy
Find the Area of this figure.
Answer:
158 m²
Step-by-step explanation:
I made this into 3 rectangles.
Figure 1:
9•8=72
The 9 is from the 13 m side, but I've taken 4 m off from the overlapping square.
Figure 2:
6•7=42
The 7 is from the 10 m side, but I've taken 4m off from the overlapping square again.
Remaining Area:
If you extend the lines into figures 1 and 2 from the top left corner and bottom right corner vertically, you will get a rectangle that is (11 m) x (4 m). This is not yet accounted for.
11•4=44
Add together: 72 + 42 + 44 = 158
*Note: You could also find the area of the squares a much easier way by subtracting the overlapping part after finding the area of both figures , but this is how I did it*
Josh's sink leaks 12 of a gallon of water in 14 of an hour. How many
gallons of water does Jacob's sink leak in 2 days?
According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that five or more families have life insurance?
Answer:
0.5819 = 58.19% probability that five or more families have life insurance
Step-by-step explanation:
For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
77% of husband-wife families with kids under 18 years old have life insurance.
This means that [tex]p = 0.77[/tex]
A random sample of six husband-wife families was selected.
This means that [tex]n = 6[/tex]
What is the probability that five or more families have life insurance?
This is
[tex]P(X \geq 5) = P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735[/tex]
[tex]P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084[/tex]
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819[/tex]
0.5819 = 58.19% probability that five or more families have life insurance
If n + 7 = 10, evaluate 2n - 2
0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7
your answer is k=10 the step by step is kn the picture
Solve the system of linear equations. - 3x + 5y = 13 x + 4y = -10
Answer:
x = -6 and y = -1
Step-by-step explanation:
HELP guys i need extra to pass in my school and i am still failing by three points please i cant get it up on my own Madison has $6.50. Potatoes are $0.50 per pound. How many pounds of potatoes can Madison afford to buy?
In two or more complete sentences write and solve an inequality for this situation. Explain how you would solve this inequality.
Answer:
0.5p < 6.50
p < 13
Step-by-step explanation:
The inequality would be p < 13. Since Madison can't spend more than 6.50, the cost of potatoes would need to be less than 6.50. To solve the inequality, you would have to divide both sides by 0.5, giving you p < 13.
Answer:
Madison can buy 13 pounds of patatoes.
Step-by-step explanation:
You have to divide 6.50 by 0.50, but in order to do that you have to move the decimal on both sides two times to the right then you can divide. Then to double check you muliply 13 by 50.
The fifth term of an arithmetic sequence is 23 and the 12th term is 72? Determine the first three terms of the sequence and the nth term
Answer:
the first term is a1
the distance between the numbers is d
we have:
a5 = a1 + 4d = 23
a12 = a1 + 11d = 72
so we have the equation:
a1 + 4d = 23
a1 + 11d = 72
=> a1 = -5
d = 7
=> an = -5 + 7(n - 1) = 7n - 12
with an = 7n - 12
=> a2 = 2
a3 = 9
so the first three terms is -5; 2; 9
What is M? Enter only value in response.
Answer:
x=23
Step-by-step explanation:
132+128+4x+2+5x-11+4x-10=540
13x+241=540
13x=540-241
13x=299
x=23
7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random variables for the solutions to the questions below. (a) Write down a precise sum expression for the probability that the first five rolls give a three at most two times. (b) Calculate the probability that the first three does not appear before the fifth roll. (c) Calculate the probability that the first three appears before the twentieth roll but not before the fifth roll.
Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
HELP I’m being timed!!!
Divide j by 9 and the multiply the quotient by 2
Answer:
Step-by-step explanation:
you will need to do:
j/9*2=2j/9
8. What is the DEGREE of the following binomial:
2x 5
Step-by-step explanation:
I'm thinking you are showing 2X^5 where 5 is the exponent. if so then it's the 5th degree
Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer
Answer:
75.4 inches
Step-by-step explanation:
circumference = 2πr = 24π ≅ 75.4 inches
It's really more of a tubcake than a cupcake.
The side lengths of a triangle are (5x + 1), (6x - 10), and (6x + 2). Write an expression in simplest
form fok the perimeter of the triangle.
A. 17x - 7
В. 17x+13
C. 10x
D. 30x
Answer:
A
Step-by-step explanation:
so the perimeter is the sum of all the sides which would be
(5x+1)+(6x-10)+(6x+2)
= 5x+1+6x-10+6x+2
=17x-7
which is A
if my answer helps please mark as brainliest.
-7r2 + 7r + 2 = 2
Find Discriminant
Answer:
r = 1 , 0
Step-by-step explanation:
-7[tex]r^{2}[/tex] + 7r + 2 = 2
-7r(r-1)=2-2
-7r(r-1)=0
r-1=0
r=1
Triangle M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.
Given right triangle MNO, which represents the value of cos(M)?
StartFraction O N Over M N EndFraction
StartFraction M N Over M O EndFraction
StartFraction O N Over M O EndFraction
StartFraction M N Over O N EndFraction
Given:
In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.
To find:
The value of cos(M).
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Draw a diagram using the given information.
In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,
[tex]\cos (M)=\dfrac{MN}{MO}[/tex]
Therefore, the correct option is B.
Answer:
it is b
Step-by-step explanation:
PLS HELP!! FIND X AND Y
Answer:
x=110
y=70
Step-by-step explanation:
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I need this help me please
Answer:
I think its B
Step-by-step explanation:
Complete the following sentence.
The slope of the graph of y = x is
Answer:
The slope of y=x is 1
Step-by-step explanation:
Slope = 1
Hopper Middle School wants to buy 40 t-shirts for the soccer team. They look at two stores to see which will give them the better deal. Store A charges $6.96 per shirt. Store B said the total cost for all 40 shirts would be $325, but they will give the school a 20% discount. Which store has the better deal?
How much will the shirts cost from store A?
How much will the shirts cost from store B?
How much does one shirt cost from store B?
Answer:
store A is 278.4 and store B is 260 and the cost for one shirt from store b is 8.125
Step-by-step explanation
6.96 x 40 gives you 278.4
325 - 20% gives you 260
325 divided by 40 gives you 8.125
then to check your answer you multiply 40 and 8.125 and it gives you 325