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Paha777 [63]
2 years ago
15

Make x the main subject 6x+a=5(x+t)

Mathematics
2 answers:
aleksandr82 [10.1K]2 years ago
8 0

Answer:

x = 5t − a

do you need the procedure?

ratelena [41]2 years ago
4 0

Answer:

x=5t-a

Step-by-step explanation:

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Suppose the heights of a population of people are normally distributed with a mean of 65.5 inches and a standard deviation of 2.
kupik [55]

Answer:

a) P(64.2

b) 69.764

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(65.5,2.6)

Where \mu=65.5 and \sigma=2.6

We are interested on this probability

P(64.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(64.2

And we can find this probability on this way:

P(-0.50

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

P(-0.50

3) Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got

a=65.5 +1.64*2.6=69.764

So the value of height that separates the bottom 95% of data from the top 5% is 69.764.

5 0
3 years ago
PLZZ HELP I NEED ANSWER RNNNNNNB
poizon [28]

Answer:

Surface Area = 82.8 square meters

Volume = 37.96 cubic meters

Surface area:

6 × 2 = 12

9 × 2 = 18

8.8 × 6 = 52.8

12 + 18 + 52.8 = 82.8

Volume:

6 × 2 × 9.49 = 113.88

113.88 ÷ 37.96

5 0
3 years ago
Please guys help please
almond37 [142]
Wild guess a I’m only guessing
4 0
3 years ago
stefan is three years younger than his sister katie. The sum of Stefans age three years ago and 2/3 of katies age at that time i
sammy [17]

If x is the age of S

And y is the age of K

So we have x=y+3

And the second equation is x-3 + 2/3)y = 12

We have to solve the system

x-y=3

x+2/3y=15

we find x=10.2 and y=7.2

<span>so Katie is 7 </span>

3 0
3 years ago
Read 2 more answers
Find a &amp; b if the point p(6,4)&amp;q(2,3) lie on the graph of ax+by=20
Cerrena [4.2K]

Answer:

a = - 2 , b = 8

Step-by-step explanation:

Since the points p and q lie on the graph then they satisfy the equation

(6, 4 ) , substitute x = 6 , y = 4 into the equation

6a + 4b = 20 → (1)

(2, 3 ) , substitute x = 2, y = 3 into the equation

2a + 3b = 20 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate a

- 6a - 9b = - 60 → (3)

add (1) and (3) term by term to eliminate a

0 - 5b = - 40

- 5b = - 40 ( divide both sides by - 5 )

b = 8

Substitute b = 8 into either of the 2 equations and solve for a

Substituting into (1)

6a + 4(8) = 20

6a + 32 = 20 ( subtract 32 from both sides )

6a = - 12 ( divide both sides by 6 )

a = - 2

4 0
2 years ago
Read 2 more answers
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