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Arisa [49]
2 years ago
11

Given the problem below what mistake did Bob make in solving the equation? Bob and his friends paid $30 for 3 sandwiches and and

3 bottles of water.
-Each sandwich cost the same amount.
-The bottles of water cost $1.50 each.
The equation 3(x + 1.50) = 30 can be used to determine x, the cost of each sandwich. Bob solved the equation using these steps: 3(x + 1.50) =30
3x + 1.50 = 30
3x = 28.50
x = 9.50
Mathematics
1 answer:
storchak [24]2 years ago
7 0

Answer:

Bob forgot to distribute 3 to 1.50 in the parentheses

Step-by-step explanation:

Bob made the mistake in his first step.

In the equation 3(x + 1.50) = 30, the 3 has to be distributed to both x and 1.50.

But, Bob only distributed it to x, which led him to get the wrong answer.

So, Bob's mistake when solving was that he forgot to distribute the 3 to 1.50

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Consider a population list x with μx=10 and SDx = 1. A second population list, y, with μy=10 and SDy=2, is added to the first li
Basile [38]

Answer:

The combined standard deviation is 1.58114.

Step-by-step explanation:

The formula to compute the combined standard deviations of two different data sets is:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}

Here \mu_{c} is the combined mean given by:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}

It is provided that the sample size is same for both the data sets, i.e.n_{X} = n_{Y}=n

Compute the combined mean as follows:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}\\=\frac{(n\times10)+(n\times10)}{n+n}}\\=\frac{20n}{2n}\\ =10

Compute the combined standard deviation as follows:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}}\\=\sqrt{\frac{(n\times1^{2})+(n\times2^{2})+(n(10-10))+(n(10-10))}{n+n}}\\=\sqrt{\frac{n+4n}{2n} } \\=\sqrt{\frac{5n}{2n} } \\=\sqrt{\frac{5}{2}} \\=1.58114

Thus, the combined standard deviation is 1.58114.

3 0
3 years ago
Ashley solved the exponential equation 3x + 1 = 15 and her work is shown below. What is the first step she did incorrectly?
Aleks04 [339]
"Step 1: log 3^(x+1) = log15" is the step among the following choices given in the question that she did incorrectly. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.
7 0
3 years ago
Read 2 more answers
3. What % of 100 is 13?
Sedbober [7]

Answer:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 13 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 13 is 100%, so we can write it down as 13=100%.

4. We know, that x is 100% of the output value, so we can write it down as x=100%.

5. Now we have two simple equations:

1) 13=100%

2) x=100%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

13/x=100%/100%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 100% of 13

13/x=100/100

(13/x)*x=(100/100)*x       - we multiply both sides of the equation by x

13=1*x       - we divide both sides of the equation by (1) to get x

13/1=x

13=x

x=13

now we have:

100% of 13=13

Step-by-step explanation:

Have A Wonderful Day !!

5 0
3 years ago
2/3 + 1/2 <br> i just want to give some points away
goldfiish [28.3K]
Answer: 7/6, 1 and 1/6, or 1.16


Step by step explanation:

2/3 + 1/2

4+3/6

7/6
6 0
3 years ago
Read 2 more answers
A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers,
s344n2d4d5 [400]

Answer:

y=3x+5

Step-by-step explanation:

The problem is asking for slope-intercept form, luckily, they gave us both of those things.

Slope-intercept form: y=mx+b, where m= slope and b= y-intercept.

So,

y=3x+5

Hope this helps!

7 0
3 years ago
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