1. You can add 7 units to both sides of the scale so it becomes a balance between x on the left and 21 on the right.
x ___ 21
1A) The only number from the set that will keep the balance is x ∈ {21}
1B) The number on the right (21) will be more than x for x ∈ {0, 1, 7, 14}
1C) The number on the right (21) will be less than x for x ∈ {28, 30}
2A) (x +x +x) +(2 +4) = 102
3x +6 = 102 . . . . . . . . simplified equation
2B) Solving the equation, you have
3x = 102 -6
x = 96/3 = 32
The number that could be a value of x is 32.
Answer is 6 miles per day
Answer is equation 48 = (x)(5) + 18
Step by step
You can use y intercept equation
y = mx + b
y = 48 total miles
m = rate of miles unknown
x = 5 days
b = starting point of 18 miles already ridden
48 = (x) (5) + 18
48 = 5x + 18
Subtract 18 from both sides to isolate the variable
48 - 18 = 5x + 18 - 18
30 = 5x
Now divide both sides by 5 to solve for x
30/5 = 5/5 x
X = 6 miles per day
Check your work, substitute 6 for x in your equation
48 = (6) (5) + 18
48 = 30 + 18
48 = 48
Problem solved!!
The <em><u>correct answers</u></em> are:
The inequality is 75+4t ≥ 400, and they must sell at least 82 tickets.
Explanation:
t is the number of tickets sold. They start out with $75, so that is where our inequality begins. Each ticket is $4; this gives us the expression 4t. Together with the $75 carry over, we have 75+4t.
They must make at least $400 to pay for the dance. This means it must be more than or equal to 400; this gives us 75+4t ≥ 400.
To solve this, first subtract 75 from each side:
75+4t-75 ≥ 400-75
4t ≥ 325
Divide both sides by 4:
4t/4 ≥ 325/4
t ≥ 81.25
We cannot sell a portion of a ticket, so we round. While mathematically this number would "round down," if they only sell 81 tickets, they will not have enough money. Therefore we round up to 82.
Answeryes
Step-by-step explanation:
Answer:
a) P=0.03
b) α=0.05
c) 0.72
d) 100
e) 0.72
Step-by-step explanation:
a) The P-value is the probability of the sample result. In this case the P-value is 0.03.
b) The level of significance is the threshold of probabilty for the null hypothesis to be reejcted or not. It is contrasted with the P-value to know if the effect is significant. In this case, the level of significance is 0.05.
NOTE: if it is a two-side test, the level of significance is 0.1 (two times 0.05).
c) The sample proportion is the one that results from the sample data. In this case, the sample proportion is 0.72.
d) The sample size is the amount of consumers reported. In this case is 100 customers.
e) The null value is 0.72 (equal to the sample proportion), because it is tested if there is no difference between the population proportion and the sample proportion.
