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Phantasy [73]
3 years ago
10

Students roll a 6-sided number cube and spin the shown spinner. blue blue orange red orange red orange purple What is the probab

ility of rolling a 3 on the number cube and landing on purple on the spinner?​
Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer:

1. 8.333% 2. I don't know ( sorry )

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According to Moebs Services Inc., an individual checking account at U. S. community banks costs these banks between $175 and $20
Anika [276]

Answer:

0.1855

Step-by-step explanation:

Assuming normal distribution, Sampling mean = $190

Sampling standard deviation = \sigma /\sqrt{n} = 20 /\sqrt{100} = $2

a) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is less than $187 = P(X < 187)

= P(Z < (187 - 190)/2)

= P(Z < -1.5)

= 0.0668

b) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is more than $193.5

= 1 - P(X < 193.5)

= 1 - P(Z < (193.5 - 190)/2)

= 1 - P(Z < 1.75)

= 1- 0.9599

= 0.0401

c) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is between $191.70 to 194.5 = P(X < 194.5) - P(X <191.7)

= P(Z < (194.5 - 190)/2) - P(Z < (191.7-190)/2)

= P(Z < 2.25) - P(Z < 0.85)

= 0.9878 - 0.8023

= 0.1855

5 0
3 years ago
What are the domain, range, and asymptote of h(x) = (0.5)x - 9
svetlana [45]

Answer:

The domain of h(x) is {x : x ∈ R}

The range of the function is {y : y > -9}

The horizontal asymptote is at y = -9

Step-by-step explanation:

* Lets read the problem and solve it

- The exponential function is f(x) = a(b)^x, where a and b are constant

  and b is the base , x is the exponent , a is the initial value of f(x)

- The domain of the function is all the values of x which make the

  function defined

- The range of the function is the set of values of y that corresponding

  with the domain x

- Asymptote on the graph a line which is approached by a curve but

 never reached

- A function of the form f(x) = a(b^x) + c always has a horizontal

 asymptote at y = c

* Lets solve the problem

∵ h(x) = (0.5)^x - 9

∵ All the values of x make h(x) defined

∵ The domain of the function is the values of x

∴ The domain of h(x) is {x : x ∈ R} ⇒ R is the set of real number

∵ The range of the function is the set of values of y which

   corresponding to x

∵ (0.5)^x must be positive because there is no values of x make it

  negative value

∴ y must be greater than -9

∴ The range of the function is {y : y > -9}

∵ A function of the form f(x) = a (bx) + c always has a horizontal

   asymptote at y = c

∵ h(x) = (0.5)^x - 9

∴ c = -9

∴ The horizontal asymptote is at y = -9

* Look to the attached file for more understanding

3 0
4 years ago
Read 2 more answers
The reciprocal of (x-y) is z . If z = 11 , y = -3 then what is the value of x
arlik [135]

Answer:

x=-32/11

Step-by-step explanation:

Let's solve your equation step-by-step.

1/(x+3)=11

(1/n=reciprocal of n)

Step 1: Multiply both sides by x+3.

1=11x+33

11x+33=1(Flip the equation)

11x+33−33=1−33(Subtract 33 from both sides)

11x=−32

11x/11=−32/11

(Divide both sides by 11)

x=−32/11

Check answers. (Plug them in to make sure they work.)

x=−32/11

(Works in original equation)

4 0
3 years ago
Simplify 4 to the second power ⋅ 4 to the 8th power
schepotkina [342]

Answer

it is 1610

Step-by-step explanation:

8 0
3 years ago
HEY CAN ANYONE ANSWER DIS MATH QUESTION!!
hoa [83]

Answer:

no the y may be to the degree of 1 but the variables in the equation violate the linear equation definition. Therefore the equation is not linear.

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables.

4 0
3 years ago
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