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ella [17]
3 years ago
15

How to solve n-5*2/3=3/4

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

n-5\cdot\dfrac{2}{3}=\dfrac{3}{4}\\\\n-\dfrac{10}{3}=\dfrac{3}{4}\ \ \ \ |\cdot12\\\\12n-12\cdot\dfrac{10}{3}=12\cdot\dfrac{3}{4}\\\\12n-4\cdot10=3\cdot3\\\\12n-40=9\ \ \ \ |+40\\\\12n=49\ \ \ \ \ |:12\\\\n=\dfrac{49}{12}

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James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have? ​
Rainbow [258]
26 quarters, 22 nickels
4 0
2 years ago
Jane bought 4 books, 3 cups, and 7 rungs. She paid $4 per book, $5 per cup, and $10 per ring. Estimate her change from $50 bill
vlada-n [284]

Hello!

Let's multiply each thing here.

4(4)=16

3(5)=15

15=16=31

50-31=29

Therefore, her change is $29.

I hope this helps!

8 0
2 years ago
Read 2 more answers
Amanda earned a score of 940 on a national achievement test that was normally distributed. The mean test score was 850 with a st
hichkok12 [17]

Answer:

lower than Amanda:  816 students

Step-by-step explanation:

An equivalent way in which to state this problem is:  Find the area under the standard normal curve to the left (below) 940.

Most modern calculators have built in distribution functions.

In this case I entered the single command   normalcdf(-1000,940, 850, 100)

and obtained 0.816.

In this particular situation, this means that 0.816(1000 students) scored lower than Amanda:  816 students.

6 0
2 years ago
Read 2 more answers
The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners ear
earnstyle [38]

Answer:

<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>

Step-by-step explanation:

The Empirical Rule (68-95-99.7%)-

According to this around 95% of the data will fall within two standard deviations of the mean.

As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.

As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.

i.e 2\sigma=18000-10000=8000

\Rightarrow \sigma = 4000

We know that,

Z=\dfrac{X-\mu}{\sigma}

where,

X = raw score = 14,000

μ = 10,000

σ = 4,000

Putting the values,

Z=\dfrac{14000-10000}{4000}=\dfrac{4000}{4000}=1

Now, calculating the value from the z score table,

P(1)=0.8413=84.13\%

As the probability at z=1 is the area below that, so 84% of the wage earners earn less than $14,000 each.

6 0
3 years ago
Please help
Liono4ka [1.6K]

Answer:

P(red) = .3

P(yellow) = .3

75 cubes in the box

Step-by-step explanation:

The probability has to add to 1

Since the number of red cubes equals the number of yellow cubes the probability has to be the same

.4 + x+x = 1

.4 +2x = 1

2x = 1-.4

2x = .6

Divide by 2

x = .6/2

x = .3

P(red) = .3

P(yellow) = .3

We know that

P(blue) = .4 = number of blue cubes/ total number of cubes

                 .4 = 30/total

                  total = 30/.4

                   total = 75

7 0
2 years ago
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