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horsena [70]
3 years ago
11

Twice the diffrence of a number and 9 is equal to three times the sum of the number and 5. Find the number

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0
2(n-9) = 3(n + 5)
2n - 18 = 3n + 15
2n - 3n = 15 + 18
-n = 33
n = -33
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Find the ordered triple of these equations. x + 2y + 2z = 02x + y + z = 3x - 3y - z = 1
klasskru [66]
{x+2y+2z=0
{2x+y+z=3
{x-3y-z=1

{x+2y+2z=0
-
{4x+2y+2z=6
{-3x=-6  → x=2

{-3y-z=-1
+
{y+z=-1
{-2y=-2  → y=1

{2+2+2z=0 → 2z=-4 → z=-2
Final triple is
(2; 1; -2)

3 0
3 years ago
A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random
Akimi4 [234]

Answer:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

The degrees of freedom are given by:

df=n-1=14-1=13  

The p value for this case would be given by:

p_v =P(t_{(13)}  

Step-by-step explanation:

Information given

\bar X=24 represent the mean height for the sample  

s=2.2 represent the sample standard deviation

n=14 sample size  

\mu_o =25 represent the value that we want to test

t would represent the statistic

p_v represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:  

Null hypothesis:\mu \geq 25  

Alternative hypothesis:\mu < 25  

The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

The degrees of freedom are given by:

df=n-1=14-1=13  

The p value for this case would be given by:

p_v =P(t_{(13)}  

8 0
3 years ago
5^3 x 7^3 = 35^3<br> Explain why this equation is true
grin007 [14]
What grade you in ?...
4 0
3 years ago
PLEASE HELP I'M NOT GOOD AT MATH
exis [7]

Answer:

It is a proportional relation.

Step-by-step explanation:

We have given that at Time (hours) = 2, Distance (miles) = 90 and at Time (hours) = 3, Distance (miles) = 135

Therefore, the speed we get from the first two row data = \frac{135 - 90}{3 - 2} = 45 miles/hr.

So, the speed is maintained through out the journey as

At t = 0, Distance = 0

At t = 2 hours, Distance = 2 × 45 = 90 miles

At t = 3 hours, Distance = 3 × 45 = 135 miles

At t = 5 hours, Distance = 5 × 45 = 225 miles

At t = 6 hours, Distance = 6 × 45 = 270 miles

Therefore, the values matches with the table.

Hence, it is a proportional relation. (Answer)

8 0
3 years ago
4(4 + 7x) + x 2 -6x +5
balu736 [363]
Factoring this equation would get you (x+21)(x+1)
4 0
2 years ago
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