Answer:
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies
Step-by-step explanation:
We will write the equation to represent this scenario.
Let x be the number of people who went for movies.
Then the price of ticket for x people will be: 6.25x
They spent $12 on refreshments and a total of $30.75 so the equation will be:
solving the equation will give us total number of people
So,
Hence,
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies
Answer:A
Step-by-step explanation:
X=2(y+1)^2-6
Answer:
The answer is option b, its absolute value in simplified form gives
Step-by-step explanation:
Which of the following radical expressions has an absolute value symbol in its simplified form?
Answer option
6√64x^6
3VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF-8x^3
5√32x^5
4VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF16x
6√64x^6
to solve this
48x^3
b. 3√-8x^3
3*2√-2x^3
6√2x^3*√-1
6√2x^3j
which is a complex notation
5√32x^5
5*4√2x^5
20√2x^5
4√16x
4*4√x
16√x
Answer:
69.14% probability that the diameter of a selected bearing is greater than 84 millimeters
Step-by-step explanation:
According to the Question,
Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.
- In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ
we have μ=87 , σ=6 & X=84
- Find the probability that the diameter of a selected bearing is greater than 84 millimeters
This is 1 subtracted by the p-value of Z when X = 84.
So, Z = (84-87)/6
Z = -3/6
Z = -0.5 has a p-value of 0.30854.
⇒1 - 0.30854 = 0.69146
- 0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.
Note- (The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X)
Number of weekend minutes used: x
Number of weekday minutes used: y
This month Nick was billed for 643 minutes:
(1) x+y=643
The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44
We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44
Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y
Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44
Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72
Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243
Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400
Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
