3.5x-10>-3 add 10 to both sides
3.5x>7 divide both sides by 3.5
x>2
... now for the other inequality:
8x-9<39 add 9 to both sides
8x<48 divide both sides by 3
x<6
So we have x>2 and x<6, so the compound inequality is:
2<x<6 and this means that the solution set is:
x=(2, 6)
Answer:
32
Step-by-step explanation:
12/3=4
45/3=15-4-7=4 * the witch doesn't have a wand or spoon like the top row does.
21/3=7
4+4x7*order of operations
4+28
32
Hi There!
Dori leaves her house at 12pm.
50 steps per minute until 12:20pm.
Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,
12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps
Malory leaves her house at 12:20pm.
Walks 90 steps per minute.
12:20 - 12:30 pm. = 10 minutes = 10 x 90 = 900
Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500
500 + 1000 = 1500
Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900
900 + 900 = 1800
Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500
1750 + 500 = 2250
Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900
450 + 1800 = 2250
Answer: they have the same number steps at 12:45 p.m.
Hope This Helps :)
Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
The sample size and the estimate are given by:
Hence:
The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
More can be learned about the z-distribution at brainly.com/question/25890103
