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Masteriza [31]
3 years ago
15

Simplify the expression

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:−28−98i

Step-by-step explanation:

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Students in the seventh grade at Texas Intermediate School were surveyed to find out their favorite store. The graph below repre
natta225 [31]

Answer:

Option d is correct.

The number of students that chose Target as their favorite store over Ross = 4 students.

Step-by-step explanation:

The graph of the question is obtained from another brainly question on here. But uploading it will lead to deletion of this answer as it would be violating the community guidelines here.

So, I'm going to describe the graph.

The graph provided with the question is a pie chart, with each region clearly shown and the corresponding percentage for each of the students' favourite stores that come up in the survey given as

TJMax - 20%

Wal-Mart - 25%

Ross - 20%

Target - 25%

Others - 10%.

How many more students surveyed chose Target as their favorite store over Ross?

Total number of students sampled = 80

Number of students that picked Target

= 25% × 80 = 20 students

Number of students that picked Ross

= 20% × 80 = 16 students.

Number of students that chose Target as their favorite store over Ross = 20 - 16 = 4 students.

Hope this Helps!!!

6 0
3 years ago
Which fraction and equivalent decimal correctly shows the ratio of shaded circles to all circles?
sergeinik [125]
Shaded circles = 4
Total circles = 12

\frac{shaded~circles}{total~circles} = \frac{4}{12}

\frac{4}{12} as a simplified expression = \frac{2}{6}
We can simplify it even more = \frac{1}{3}

Fraction = \frac{1}{3}

Equivalent decimal = 1 ÷ 3 = 0.33
3 0
3 years ago
If log 5 = p and log 2=q then log 200 can be written in terms of p and q as?
Andrei [34K]
<h3>Answer:  2p + 3q</h3>

Work Shown:

log(200) = log(2^3*5^2)

log(200) = log(2^3) + log(5^2)

log(200) = 3*log(2) + 2*log(5)

log(200) = 3*q + 2*p

log(200) = 2p + 3q

The log rules I used were

log(A*B) = log(A)+log(B)

log(A^B) = B*log(A)

8 0
2 years ago
Rewrite the expression 2(x + 5) using the Distributive Property.​
ehidna [41]

Answer:

2x + 10

Step-by-step explanation:

To expand (using the distributive property) <u>multiply</u> the number outside the bracket i.e. in this case '2', with the <u>values inside the brackets</u>.

So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.

So

2(x + 5)

= (2*x)+(2*5)

=2x+10

<em>extention note:</em> <u>be careful</u> when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.

an example

2(x-5)

= (2*x)+(2*-5)

=2x -10

Anyhow, I hope this helped!

5 0
2 years ago
Find the z-scores (two of them) that separate the middle 48% of the distribution from the area in the tails of the standard norm
djverab [1.8K]

Answer:

The  z-scores are   Z_{\frac{\alpha }{2} } =  0643 and  Z_{\frac{\alpha }{2} } =  - 0643

Step-by-step explanation:

From the question we are told that

    The  middle of the distribution area considered is  48%

Now the rest of the area under the standard normal distribution area is  mathematically evaluated

      \alpha  =  100-  48

      \alpha  = 52 \%

      \alpha  =  0.52

Now to obtain the area occupied by this proportion at the two tails we divide by 2 i.e

    \frac{\alpha }{2} =  \frac{0.52}{2}  =0.26

Now the z-score is obtained from the normal distribution table and the value is

     Z_{\frac{\alpha }{2} } \pm 0.643

The \pm shows that we are considering the two-talil

7 0
2 years ago
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