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Sav [38]
3 years ago
10

Can someone help explain how to work this out.

Mathematics
1 answer:
ser-zykov [4K]3 years ago
3 0
Z+2.5=5.2-3.2z
z+3.2z=5.2-2.5
4.2z=2.7
z=9/14
That's your answer and that's how you work out.
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Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t
NARA [144]

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

  • the sample size is given as 100
  • the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

                                            P(| \bar{X}-\mu|

Here converting the values in z form gives

P(-2

Substituting values

P(-2

From z table

P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\

So the probability that the sample mean  will lie within 2 values of μ is 0.9544.

5 0
3 years ago
Can someone help me understand how to do this quadratic math problem
Juliette [100K]

Answer:

  put all of the expressions into the same form, such as standard form

Step-by-step explanation:

When you're trying to determine whether one expression is equivalent to another, you need to put both of the expressions into the same form. This will generally require some algebraic manipulation using the rules of equality.

Here, you're given a quadratic in standard form. From what we can see of the one partial answer, some of the choices are in vertex form. To determine if they are equivalent, you can do either of two things ...

  1. Put the given expression into vertex form
  2. Expand the answer choice to put it in standard form

___

<em>For multiple-choice questions</em> of this type, it is often sufficient to look at one or two terms of the different equations. That is usually all it takes to separate a good answer from a bad one.

You can start with the x^2 term. Any answer choice that has an x^2 coefficient different from 1 will be rejected.

Next, you can look at the sign of the x term. Any answer choice that doesn't have a positive x term will be rejected.

Finally, you can look a the constant term. Any answer choice that doesn't have a constant term of +4 will be rejected.

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As it happens, the given equation is a perfect square, so one equivalent is ...

  y = (x +2)^2

_____

When working with quadratics, it can be helpful to memorize a couple of the ways they can be written:

  (x +b)^2 = (x^2 +2bx + b^2)

This is a special case of ...

  (x +a)(x +b) = x^2 +(a+b)x + ab

3 0
3 years ago
A cube has a volume of 1/8. If the cube holds 24 of these sugar cubes, what is the total volume of the box?
svetlana [45]

\frac{1}{8}  \div 24 = 3
8 0
3 years ago
Read 2 more answers
For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many
matrenka [14]

Answer:

40 rubber bands are needed

5 rubber bands will be left from 5 bags of of rubber band

Step-by-step explanation:

Each student will need five rubber bands.

There are eight students

Total rubber bands needed = rubber bands per student × number of students

= 5 × 8

= 40

Total rubber bands needed = 40

Rubber bands come in bags of nine.

Number of bags needed = Total rubber bands needed / number of rubber bands in each bag

= 40 / 9

= 4.44 bags

It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5

5 rubber bands bags will be bought which = 5 × 9

= 45 rubber bands

Only 40 rubber bands are needed

Left over rubber bands = 45 - 40

= 5 rubber bands

5 0
3 years ago
Can someone please answer this question please answer it correctly and please show work please help me I need it
vaieri [72.5K]

Answer:

A

Step-by-step explanation:

Lets find the values:

<em>Gained</em><em> </em>2.2 kg = 2.2

<em>Lost</em><em> </em>1.5 kg = (-1.5)

<em>Lost</em><em> </em>3.7 kg = (-3.7)

Adding these would be represented by the equation:

2.2 + (-1.5) + (-3.7) = ?

3 0
3 years ago
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