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3 years ago

3x+5=19 how do I solve this problem ???

Mathematics

2 answers:

Tamiku [17]3 years ago

5 0

3x+5=19
-5 -5

3x=14
/3 /3

x= 4 2/3

Gnom [1K]3 years ago

3 0

3x+5=19 /-5. .......... 3x=14 /:3.......... x=14/3

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Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi

r-ruslan [8.4K]

Answer:

15.85%

Step-by-step explanation:

The empirical rule states that:

68% of all data falls within 1 standard deviation of the mean
95% of all data falls within 2 standard deviation of the mean
99.7% of all data falls within 3 standard deviation of the mean

When we say 1,2,3 standard deviation of the mean, that is, it is evenly distributed in both sides of the mean. For example:

68/2 = 34% of data falls within mean - 1*standard deviation, and

also, 34% of data falls within mean + 1*standard deviation

Now, we see that 192 - 27 = 165, so this is 1 standard deviation of the mean [mean - 1*standard deviation], so 34% of data fall in that range.

But we want, data that ARE FEWER than 165. So, we use property of normal distribution.

Half of data (50%) is left of mean, of which 34% fall within 1 standard deviation So the remaining would fall fewer than 165.

That is 50 - 34 = 16 - 0.15 = 15.85%

<u><em>Note:</em></u> since 99.7% fall within 3 standard deviation of mean, so 100 - 99.7 = 0.3 which is distributed in both sides, so 0.3/2=0.15 is subtracted

6 0

3 years ago

Formula for area the area of a triangle

nordsb [41]

I think A=12bh I hope it’s right

4 0

3 years ago

Your grandfather placed $5,000 in a trust fund for you. In 12 years, the fund will be

PolarNik [594]

Answer:

fv/pv=(1+r)^n

10,000/5000=(1+r%)^12

2=(1+r%)^12

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4 0

3 years ago

Read 2 more answers

Help me with this, please! Very thankful!

Naya [18.7K]

X. Y
12 —> 4
8 —> 8/3
13 —> 13/3

Substitute x values for y.
y = 1/3(12)
y=4

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2 years ago

Read 2 more answers

A water tank already contained 24 gallons of water before a pump was switched to fill it. The pump started at 10:00 am and by 10

grigory [225]

Answer:

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

Step-by-step explanation:

Given:

Water tank initially contained = 24 gallons of water

The pump to fill the tank was switched to fill it.

From 10:00 AM to 10:30 AM the tank contained 40 gallons of water.

By 1:00 PM the tank contained 120 gallons of water.

To write an equation which will tell the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours

Solution:

Initially, gallons of water in tank = 24

From 10:00 AM to 10:30 AM the tank had 40 gallons of water.

Thus, in half an hour the pump filled = $40-24$ = 16 gallons

Using unitary method:

If in $\frac{1}{2}$ of an hour water filled = 16 gallons

So, in 1 hour the water filled will be = $16\times 2$ = 32 gallons

In 3 hours the water filled will be = $32\times 3$ = 96 gallons

Thus, by 1:00 PM the water in the tank will be = $96+24$ = 120 gallons

This confirms the data given for 1:00 PM.

This shows that the rate at which the pump fills the tank is 32 gallons of water per hour.

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

4 0

3 years ago