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Lana71 [14]
3 years ago
5

If y=14 then what is 1.8+0.5(y+6)-2 to the third power

Mathematics
1 answer:
pychu [463]3 years ago
7 0
3.8 because 14+6=20 and .5*20=10 so then you do PEMDAS which means parenthesis, exponents, multiply, divide, add, subtract left to right. So the equation now is 1.8+10-8 so you would do 1.8+10=11.8 and 11.8-8=3.8. In PEMDAS you do the parenthesis first then the exponents and then multiply and divide and then when there is only add and subtract left in the equation you do it left to right. 
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Given a normal distribution with mu equals 100μ=100 and sigma equals 10 commaσ=10, complete parts​ (a) through​ (d). loading...
m_a_m_a [10]

I believe the parts are:

A. What is the probability that Upper X greater than 95X>95​?

B. What is the probability that Upper X less than 75X<75?

C.What is the probability that Upper X less than 85X<85 and Upper X greater than 125X>125?

D. 95​% of the values are between what two​ X-values (symmetrically distributed around the​ mean)?

 

<u>Solution:</u>

We use the equation for z score:

z = (X – μ) / σ

Then use the standard normal probability tables to locate for the value of P at indicated z score value.

 

A. Z = (95 – 100) / 10 = - 0.5

Using the tables, the probability at z = -0.5 using right tailed test is:

P = 0.6915

 

 

B. Z = (75 – 100) / 10 = - 2.5

Using the tables, the probability at z = -2.5 using left tailed test is:

P = 0.0062

 

 

C. Z = (85 – 100) / 10 = - 1.5

Using the tables, the probability at z = -2.5 using left tailed test is:

P = 0.0668

 

Z = (125 – 100) / 10 = 2.5

Using the tables, the probability at z = 2.5 using right tailed test is:

P = 0.0062

 

So the probability that 85<X and X>125 is:

P(total) = 0.0668 + 0.0062

P(total) = 0.073

 

 

D. P(left) = 0.025, Z = -1.96

P(right) = 0.975, Z = 1.96

 

The X’s are calculated using the formula:

X = σz + μ

 

At Z = -1.96

X = 10 (-1.96) + 100 = 80.4

 

At Z = 1.96

X = 10 (1.96) + 100 = 119.6

 

<span>So 95% of the values are between 80.4 and 119.6 (80.4< X <119.6).</span>

7 0
3 years ago
Simplify expression 2/3[3f+12]+f
neonofarm [45]

Answer:

= 3f + 8

Step-by-step explanation:

Given that:

= 2/3[3f+12]+f

By simplifying:

2/3 will be multiplied inside the bracket as follows:

= 2/3*3f + 2/3*12 + f

By cancelling the terms with each other we get:

= 2f + 24/3 + f

By simplifying the fraction we get:

= 2f + 8 + f

Adding like terms

= 3f + 8

This is the simplified expression.

i hope it will help you!

4 0
2 years ago
Is 1,4,9 and 16 a geometric sequence
Umnica [9.8K]
No because 4/1 does not equal to 9/4 or 16/9
5 0
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Can someone help me out pls
Fiesta28 [93]

the answer is d 350000..

6 0
2 years ago
You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building
nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

h=\sqrt{x^2+y^2}

The rate of change for the distance between you and the elevator is given by:

\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}

-16=\frac{dh}{dy}*\frac{dy}{dt}

\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\

Applying the chain rule:

u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}

Therefore, at x=300 and y = 500, dy/dt is:

-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s

The elevator is descending at 18.66 ft/s.

7 0
3 years ago
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