A.
Translate into an equation. (30 + 45 + 35) ÷ 6 = m
B.
Use logical reasoning. Add together the number of minutes Ella babysits each week: 30 + 45 + 35 = 110. Multiply 110 by the number of weeks Ella continues this babysitting schedule.
C.
Draw a diagram. Draw 6 large squares. Add up the numbers 30, 45, and 35 to get 110. Write 110 in each square. Add up the numbers in the squares.
D.
Make a table.
Week 1 2 3 4 5 6
Total (minutes): 110 220 330 440 550
Answer: 216
Step-by-step explanation:
The formula to find the sample size , if prior population proportion is known :-
Given : The prior proportion of defective parts : p= 0.10
Significance level :
Critical value :
Margin of error :
Now, the required sample size will be :-
Hence, the minimum required sample size = 216
To achieve a margin of error of .04 or less with a 95% confidence level when the defect rate is 10%, at least 217 samples need to be taken.
The question pertains to the field of statistics, specifically sample sizes and margin of error. In order to estimate the minimum sample size needed to achieve a desired margin of error of .04 or less, we can use the formula for sample size in proportions: n = (Z^2*p*(1-p))/E^2.
In this formula:
Substitute the values into the formula: n = (1.96^2*0.1*0.9)/(0.04^2), yielding n=216.09.
Since we can't have a fraction of a sample, we round up to get n = 217. Therefore, we need a sample size of 217 to reach a margin of error of .04 or less with a 95% confidence level.
#SPJ3
To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
PLEASE HELP!!!!
Answer:
g(x) =
Step-by-step explanation:
Exponential function 'g' that can be written as g(x) = a.bˣ
From the graph attached,
Graph of the function passes through two points (0, 9) and (1, 3)
g(0) = a.b⁰
9 = a
Similarly, g(1) = a.b¹
3 = a.b
3 = 9(b)
b =
Therefore function will be,
g(x) =
and
1 and one-half is
.
Answer:
3/4 + 1/2 = 5/4 or 1 and 1/4
Step-by-step explanation:
Find a common denominator for the two fractions. 1/2 becomes 2/4 because you are multiplying top and bottom by 2 to get 4 since 3/4 already has 4.
Now it becomes 3/4 + 2/4. Add the numerators and keep the denominator. You get 5/4. To get a mixed number, divide 5 by 4. Four goes in once, and leaves a remainder of 1. Keep your original denominator and write 1 and 1/4.
Answer:
Graphing Systems of Linear Inequalities
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. ...
If the inequality is strict ( < or > ), graph a dashed line. ...
Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not.