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Ipatiy [6.2K]
3 years ago
10

Solve :p (algebra)3+5

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
6 0

Answer:

8...

Step-by-step explanation:

Fantom [35]3 years ago
3 0
The answer is 8 .....
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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
4 years ago
Find the circumference and area of the circle. Use 3.14 or 22/7 for π.
Hoochie [10]

Answer:

  • circumference: 62.8 ft
  • area: 314 ft²

Step-by-step explanation:

The circumference is given by the formula ...

  C = πd

Using the given numbers, the circumference is ...

  C = (3.14)(20 ft) = 62.8 ft

__

The area is given by the formula ...

  A = πr² . . . . . where radius r is half the diameter

Using the given numbers, the area is ...

  A = 3.14(10 ft)² = 314 ft²

4 0
3 years ago
Please explain how to graph this and how you did it
inysia [295]
So you would start at the origin which is 0 then go down one cause of the -1 and right 2 because of the positive 2
3 0
3 years ago
Please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!!
Snowcat [4.5K]

Answer:

$12,000,000

Step-by-step explanation:

The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.

7 0
3 years ago
Graph the system &amp; write its solution <br> 2x+y=-4<br> Y=-1/2x-1
xz_007 [3.2K]

Answer:

The solution of system of equation is (-2,0)

Step-by-step explanation:

Given system of equation are

Equation 1 :      2x+y=(-4)

Equation 2 :      y+\frac{1}{2}x=(-1)

To plot the equation of line, we need at least two points

For Equation 1 : 2x+y=(-4)

Let x=0

2x+y=(-4)

2(0)+y=(-4)

y=(-4)

Let x=1

2x+y=(-4)

2(1)+y=(-4)

y=(-6)

Therefore,

The required points for equation is (0,-4) and (1,-6)

For Equation 2 : y+\frac{1}{2}x=(-1)

Let x=0

y+\frac{1}{2}x=(-1)

y+\frac{1}{2}(0)=(-1)

y=(-1)

Let x=2

y+\frac{1}{2}x=(-1)

y+\frac{1}{2}(2)=(-1)

y=(-2)

The required points for equation is (0,-1) and (2,-2)

Now, plot the graph using this points

From the graph,

The red line is equation 1 and blue line is equation 2

Since. The point of intersection is solution of system of equations

The solution of system of equation is (-2,0)

6 0
3 years ago
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