Answer:
Step-by-step explanation:
How much acid is in something
Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Step-by-step explanation:
As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE
<u>Question number 23:</u>
Given
DS = 3x+10
SE = 6x-2
As the two segments are equal:

Subtracting 10 from both sides

subtracting 6x from both sides

Dividing both sides by -3

Now

And

<u>Question No 24:</u>
Given
DS = x+3
DE = 56
We know that:

So
DS = 
As DS is 28, SE will also be 28
Hence,
Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Keywords: Bisector, Line segment
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Answer:
The value of x is 20°
Step-by-step explanation:
Given that angle in a straight line is 180°. Then you can find the value of x:
55° + (6x+5)° = 180°
55° + 6x + 5° = 180
6x + 60° = 180°
6x = 180 - 60
6x = 120°
x = 20°
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem
There are 10 containers, so
.
A food-packaging apparatus underfills 10% of the containers, so
.
a) This is P(X = 1)

b) This is P(X = 3)

c) This is P(X = 9)

d) This is
.
Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:


In which







So

Finally

Welming's spending is $1164.8 and his savings is $291.2
<h3>How to determine the savings and the spending?</h3>
The given parameters are:
Weekly pocket = $28
Save = 20%
There are 52 weeks in a year.
So, the yearly pocket is:
Yearly pocket = $28 * 52
Evaluate
Yearly pocket = $1456
He saves 20%.
So, we have:
Savings = 20% * $1456
Evaluate
Savings = $291.2
His spending is then calculated as:
Spending = $1456 - $291.2
Evaluate
Spending = $1164.8
Hence, Welming's spending is $1164.8 and his savings is $291.2
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