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Ede4ka [16]
2 years ago
10

Scores on an exam are normally distributed with a mean of 76 and a standard deviation of 10. In a group of 230 tests, how many s

tudents score above 96?
Mathematics
2 answers:
worty [1.4K]2 years ago
8 0
We are given with a mean of 76 and a standard deviation of 10. IN this case, we are asked to determine the probability that the score is beyond 96. 

z score = (96-76)/ 10 = 2

With the z-score of 2, the probability that is equivalent is 0.0235 or 2.35 percent. 
Tanzania [10]2 years ago
5 0
The score of 96 is 2 standard deviations above the mean score. Using the empirical rule for a normal distribution, the probability of a score above 96 is 0.0235.
Therefore the number of students scoring above 96 is given by:
230\times 0.0235=5\ students
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you own a pet supply store, and the total sales in your trading area equal 27,000. Your market share is 45%. What were your sale
Mazyrski [523]

Answer:

The sales is Rs. 12150.

Step-by-step explanation:

Given : You own a pet supply store, and the total sales in your trading area equal 27,000. Your market share is 45%.

To find : What were your sales ?

Solution :

Total sales = 27,000

Market share = 45%

Sales is given by,

Sales is 45% of total sale.

So, S=27000\times \frac{45}{100}

S=12150

Therefore, the sales is Rs. 12150.

6 0
2 years ago
Read 2 more answers
Follow the steps to solve this equation. 3(2x + 6) – 4x = 2(5x – 2) + 6 1. Use the distributive property: 6x + 18 – 4x = 10x – 4
Yuliya22 [10]

Answer:

x=2.

Step-by-step explanation:

We have been given an equation 3(2x+6)-4x=2(5x-2)+6. We are supposed to solve our given equation step by step.

Step 1: Use the distributive property.

3\cdot 2x+3\cdot 6-4x=2\cdot 5x-2\cdot 2+6

6x+18-4x=10x-4+6

Step 2: Combine like terms.

6x-4x+18=10x-4+6

2x+18=10x+2

Step 3: Use subtraction property of equality:

2x-2x+18-2=10x-2x+2-2

16=8x

Step 4: Use the division property of equality:

\frac{16}{8}=\frac{8x}{8}

2=x

Therefore, the solution of our given equation is x=2.

8 0
2 years ago
Read 2 more answers
As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than
irinina [24]
For
ax+by=c
the slope is -a/b
20x+25y≥200
slope=-20/25=-4/5
negative slope

yint is where x=0
20(0)+25y≥200
25y≥200
y≥98
positive yint

x+y<10
slope=-1/1=-1
yint is where x=0
y<10
yint is at y=10

since it is equal, it is solid line
to tell if it is above then sub (0,0) and see if true
0≥200
false
shade on side that doesn't have (0,0), shade above line


x+y<10 doesn't have equal under so it is dashed
test (0,0)
0<10
true, it is shaded below

test point (4,5)

20(4)+25(5)≥200
80+125≥200
225≥200
true

4+5<10
9<10
true


so the ones that are true are

The line x + y < 10 has a negative slope and a positive y-intercept.
The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.
The overlapping region contains the point (4, 5).








3 0
2 years ago
Read 2 more answers
Select the locations on the number line to plot the points 10/2 and −9/2 .
tresset_1 [31]

Answer:

5 and -4.5

Step-by-step explanation:

10/2=5

and -9/2=-4.5

-5  -4.5 -4 -3 -2 -1 0 1  2 3 4 5

4 0
2 years ago
Read 2 more answers
Find dy/dx implicitly and find the largest interval of the form −a &lt; y &lt; a or 0 &lt; y &lt; a such that y is a differentia
mylen [45]

Answer:

dy/dx = -1/√(1 - x²)

For 0 < y < π

Step-by-step explanation:

Given the function cos y = x

-siny dy = dx

-siny dy/dx = 1

dy/dx = -1/siny (equation 1)

But cos²y + sin²y = 1

=> sin²y = 1 - cos²y

=> siny = √(1 - cos²y) (equation 2)

Again, we know that

cosy = x

=> cos²y = x² (equation 3)

Using (equation 3) in (equation 2), we have

siny = √(1 - x²) (equation 4)

Finally, using (equation 4) in (equation 1), we have

dy/dx = -1/√(1 - x²)

The largest interval is when

√(1 - x²) = 0

=> 1 - x² = 0

=> x² = 1

=> x = ±1

So, the interval is

-1 < x < 1

arccos(1) < y < arxcos(-1)

= 0 < y < π

6 0
2 years ago
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