Complete Question
In a random sample of 13 microwave ovens, the mean repair cost was $90.00 and the standard deviation was $15.20. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, assume the population is normally distributed, find the margin of error and construct a 98% confidence interval for the population mean u. A 98% confidence interval using the t-distribution was (78.7,101.3). Compare the results. The margin of error of u is
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The sample is 
The sample mean is 
The standard deviation is 
The lower limit of the 98% confidence interval is 
The upper limit of the 98% confidence interval is 
Generally the margin of error is mathematically represented as
=> 
=>
Step-by-step explanation:
1. vertically opposite angles are the same
b = 42
360 - (42 + 42)
360 - 84 = 276
276 ÷ 2 = 138
c = 138
2. angles in a triangle sum to 180
right angles = 90
180 - (90 + 62)
180 - 152 = 28
angle S = 28
3. 1st question no, unless one angle is given a number. angles are the same vertically opposite so the other 2 angles are also vertically opposite but angle is different size but by adding the 2 different angles, make them supplementary as they sum to 180. 2nd question yes. you could have 4 right angles.
Answer:
x = 25
Step-by-step explanation:
Step 1: Make a proportion
40/20 = 50/x
Step 2: Solve your proportion
2 = 50/x
2x = 50
x = 25
Complete question :
Montel is selling roses for $4 each to raise money for a local charity. If he spend $184 to buy the flowers, how many roses ,x, must Montel sell to make a profit of at least $360
Answer:
x > 136
Step-by-step explanation:
To make a profit of $360
Selling price per rose = $4
Amount spent on roses = $184
To male a profit of at least $360
The total revenue made from rose sale must be :
Cost price + profit made
$184 + $360 = $544
To make a profit of at least, $360, them he must sell at least :
$544 / selling price
$544 / $4
= 136
x > 136
Answer: 8000
Step-by-step explanation:
From the question, we are informed that the expression 10³ × 2^w models the population of the bacteria after w weeks.
The number of bacteria that will be present in 3 weeks will then be:
= 10³ × 2^w
= 10³ × 2³
= 1000 × 8
= 8000 bacterias
