Answer:
Step-by-step explanation:
Given the following :
Mean(m) = 36 months
Standard deviation (s) = 6 months
A) probability of staying more than 30 months :
Zscore = ( x - m) / s
x = 30
Zscore = (30 - 36) / 6
Zscore = - 6/6
= - 1
P(Z > - 1) = 1 - p(Z < - 1) ; p(Z < - 1) = 0.1587
1 - p(Z < - 1) = 1 - 0.1587 = 0.8413
2)less than 24 months :
Zscore = ( x - m) / s
x = 24
Zscore = (24 - 36) / 6
Zscore = - 12/6
= - 2
P(Z < - 2) = 0.0228
3.) between 24 to 48 months
For 24 months : from above = 0.0228
48 months :
Zscore = ( x - m) / s
x = 48
Zscore = (48 - 36) / 6
Zscore = 12/6
= 2
P(Z < 2) = 0.9772 ( from z table)
Hence,
0.9772 - 0.0228 = 0.9544
Which situation is represented by the equation 6x = 4x + 18? a, James paid $18 for 4 books. What is the cost of one book? b. James paid the same amount for 6 books as he did for 4 books and a CD that costs $18. What was the cost of each book? c. Six times a number is the same as 4 times the number decreased by 18. What is the number x? d. Six more than the number of red beads in a bag is the same as 18 more than 4 times the number of red beads in the bag. What is x, the number of red beads in the bag,
HURRY PLEASE
Answer:
B
Step-by-step explanation:
Option B best displays/showcases the equation of 6x = 4x +18
Wendy walks 2 miles in 22 minutes. She continues to walk at the same rate. How many minutes will it take her to walk 11 miles? Use a double number line to support your answer.
Answer:
121 minutes
Step-by-step explanation:
First, we divide the time by the miles
22 ÷ 2 = 11
So now that we have the unit rate, 1 mile for every 11 minutes, we can multiply 11 (the unit rate minutes) by 11 (the given miles she wants to reach)
11 x 11 = 121
So, in 121 minutes, Wendy can walk 11 miles.
(the double number line will look something like this, but going all the way until 121:11)
NEED HELP PLEASE !
Can you conclude that the following is a rhombus, rectangle, or square?
A parallelogram's diagonals form eight congruent angles at the vertices.
In a square, opposite sides are parallel, all sides are equal, and the angles made by the diagonals are equal, that is 45°.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
In a rectangle, opposite sides are parallel and equal, but the angles made by the diagonals are different.
In a rhombus, opposite sides are parallel and all sides are equal, but the angles made by the diagonals are different.
In a square, opposite sides are parallel, all sides are equal, and the angles made by the diagonals are equal, that is 45°.
More about the parallelogram link is given below.
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Helpppppppppppp ppppp:/
Answer:
18
Step-by-step explanation:
I hope this helps
The ratio of boys to girls in ms Cunningham’s class is 2 to 3. There are 18 girls in the class. What is the total number of students in her class?
Answer:
30 students
Step-by-step explanation:
you have a ratio, and an unknown amount, so set up a proportion
[tex]\frac{2}{3} = \frac{x}{18}[/tex] I used x because the amount of boys is unknown
so then, cross multiply
(so do 3 times x, and 2 times 18)
[tex]3x=36[/tex]
then divide both sides by 3 to get x by itself, and you get
[tex]x=12[/tex]
this means there are 12 boys in the class. because the problem is asking for the total number of students, add 12 and 18 (the number of boys and girls).
you get 30, so there are 30 students in her class.
Situation: The No Doze Cafe sells Pumpkin Spice Lattes for $3 and Caramel Hot Apple Cider for $2. On a cool autumn morning, the shop sold 5 more Ciders than Lattes and made $25.
Define x and y variables and write the equation/s.
Please help ASAP !!!!!!
Answer:
7 or 8
Step-by-step explanation:
7 when each member does at least one of the three,and 8 when some do neither of the three.
To determine the percentage of alcohol in a liquid contains?
Answer:
Formula for Calculating Alcohol in Beer
Step-by-step explanation:
Subtract the Original Gravity from the Final Gravity.
Multiply this number by 131.25.
The resulting number is your alcohol percent, or ABV%
If x = 3(y+w)– 1, what is the value of w in terms of x and y?
Need help !!!!!! !!!!!
Answer:
C is your answer
A rectangle has an area of 3/2 square yards. If the width of the rectangle is 1/2 yard, which statement is true?
Answer:
i believe it is 1/2 yard
Step-by-step explanation:
Your ship accidentally left an alien stranded at your starting location.
How does the slope of this line compare with the slope of the line from the origin to the point (1, 4)?
They are the same.
They are opposites of each other.
They are reciprocals of each other.
The second line has no slope.
Answer:
they are the same
Step-by-step explanation:
Answer:
They are the same got it right on edg
Step-by-step explanation:
Carter wants to know how often his classmates go to amusement parks. He asks the following question: “Did you go to an amusement park this summer?”
Is his question a statistical question? Explain why or why not.
Answer:
No, it is not
Step-by-step explanation:
This is not a statistical question because there is no need to apply any sort of math. This is a question that can easily be answered with a yes or no.
Answer:
Sample Response: No. A statistical question addresses difference in a population and offers a variety of responses. Carter’s question would yield only yes or no responses.
329-(-104)
Help ASAP
Answer:
433
Step-by-step explanation:
When there are 2 neatives together like that it changes to a positive. So it woud be 329+104=433
Is 3/4 a repeating decimal
Answer:
No.
Step-by-step explanation:
3/4 = 0.75
Answer: non-repeating
Step-by-step explanation:
I don’t understand this question.
Answer:
The answer is 106 degrees
Step-by-step explanation:
Find all solutions in the interval [0, 2π).
2 sin^2 x = sin x
Answer:
0, π, 2π, π/6 and 5+(π/6)
Step-by-step explanation:
Rearranging, sinx (2 sinx - 1) = 0.
In [0, 2π],sin x = 0 for x = 0, π and 2π.
The other factor = 0 gives the other two solutions.
sin 5+(π/6) = sin (π−(π-6)) = sin π/6 = 1/2.
Mia runs a 5-kilometer race (3.1 miles). If each mile, on average, takes her 8.7 minutes, what is her total time for the race? Enter the correct answer in the box.
Jenny has a rectangular poster. The poster is 1.6 meters long and 1.2 meters wide. What is the area of the poster in square centimeters? Do not round your answer.
Answer:
1.92 m^2
Step-by-step explanation:
1.6 m x 1.2 m
1.92 m^2
if cos(x) = -1/4 and tan(x) < 0, what is sin(2x)
Answer:
B is correct: (-sqrt15)/8
Step-by-step explanation:
The value of the x is 104.5° then the value of the sin 2x is -0.49. Then the correct option is B.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
If cos(x) = -1/4 and tan(x) < 0
Then the value of the x will be
[tex]\begin{aligned} \cos x &= - \dfrac{1}{4}\\\\x &= \cos^{-1} \dfrac{-1}{4}\\\\x &= 104.5^o \end{aligned}[/tex]
Then the value of the sin 2x will be
[tex]\sin 2x = \sin 2*104.5^o\\\\\sin 2x = \sin 209^o\\\\\sin 2x = -0.4848 \approx 0.49[/tex]
More about the trigonometry link is given below.
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David completed 12 math problems in 6 minutes. At this rate, how long will it take him to complete 50 math problems ? P
Please help I’ll mark you as brainliest if correct
Answer:
25 minutes...
Step-by-step explanation:
This is because if he can complete 12 math problems in 6 minutes when u simplify that u get 2 problems done per minute so that would make 50 problems done in 25 minutes
David take 25 minutes to complete 50 math problems.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
David completed 12 math problems in 6 minutes.
So, he will solve one math problem in= 6/12 = 1/2 minutes
Now, to complete 50 math problem he needs
=50 x 1/2
=50/2
=25 minutes
Hence, David take 25 minutes to complete 50 math problems.
Learn more about unitary method here:
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In the diagram below, lines x and y are parallel. What is the relationship between angle b and e? Write an equation if it help
Answer:
there is no relationship between the two angles if E switched with D then id say corresponding but theres not
Which number when rounded to the nearest hundredth is 37.62?
A. 37.612
B. 37.618
C. 37.627
D. 37.626
Answer:
Letter B. 36.618
Step-by-step explanation:
6 is the tenth 1 is the hundredth, so look at the next number (8/thousandth) and of its 5 or more raise the score, 4 or less let it rest, 8 is 5 or higher so you then remove the 8 and raise the 1 in hundreths place to a 2
I need help on this..
Answer:
you divide the big number by the little number
Step-by-step explanation:
40 is 25% of what number?
Answer:
160
Step-by-step explanation:
Answer:
=160
Step-by-step explanation:
25% is 1/4 of a number so..
40 x 4= 160
Hope this helps (:
Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa’s PIN?
Answer: the answer is C
Step-by-step explanation:
i did it
13)
24 + f = 54
Show some work
Answer: 30
Step-by-step explanation:
24 + f = 54
f = 54 - 24
f = 30
Answer:
f=30
Step-by-step explanation:
You want to get x by itself on one side, so in order to do that, you need to subtract the 24, and if you do it one side, you need to do it to the other side.
That would give you:
24-24+f=54-24
then simplify it to be:
f=30
Can someone do these problems, thank you :-)
Answer:
Step-by-step explanation:
1) 2^2 + 2^2 = c^2
4 + 4 = c^2
8 = c^2
c = sqrt8
2) 2^2 + 3^2 = c^2
4 + 9 = c^2
13 = c^2
c = sqrt13
3) 10^2 + 4^2 = c^2
100 + 8 = c^2
108 = c^2
c = sqrt108
4) 1^2 + 5^2 = c^2
1 + 25 = c^2
26 = c^2
c = sqrt26
5) 3^2 + 1^2 = c^2
9 + 1 = c^2
10 = c^2
c = sqrt 10
6) 9^2 + 9^2 = c^2
81 + 81 = c^2
162 = c^2
c = sqrt162
Which comparison is NOT true?
F 3.375 > 3.275
G 6.875 < 6.9
H 2.65 > 2.675
J 7.675 < 7.75
Answer:
H is NOT True.
Step-by-step explanation:
5 is not greater than 7.
Answer:
no 3 is the answer
Step-by-step explanation:
iam not sure
QUICKKKKK Someone plz answer number 2
Answer:
5 times the sun of 2x and 3y equals the difference of y to the second power and 2x cubed