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2 years ago

How much will Kasey pay in Medicare if she makes $42,300 next year? $613.35 $2,678.40 $3,291.75 $4,320.00

Mathematics

1 answer:

GenaCL600 [577]2 years ago

4 0

Answer:

$613.35

Step-by-step explanation:

As 1.45% of employee's pay check goes to the Medicare, so

Total pay of Kasey in next year=$42300

Amount to be paid to medicare=1.45% of Kasey^' s pay

=42300* 1.45/100

=42300* 145/10000

= 6133500/10000

=613.35

Kasey will have to pay $613.35 to Medicare.

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Han and Priya were making a kite. Han cut out a piece of fabric so

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A kite is a quadrilateral which has two equal adjacent sides. Therefore measuring the lengths accurately would make the pieces of wood perpendicular. Since the diagonals of a kite are at right angle to each other.

Quadrilaterals are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.

A kite is a shape which has adjacent sides to have equal lengths. It has two diagonals, and one line of symmetry.

The lengths of the sides of the fabric being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a kite are always perpendicular. Thus measuring the angles as suggested by Han is not necessary.

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1 year ago

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Start with the equation 5 • 0 = 0 to explain why 5 • -2 must equal -10. Drag descriptions and equations to the table to complete

lorasvet [3.4K]

Answer:

Step-by-step explanation:

1. The problem is telling us to start with the equation 5*0=0

2. Substitute. Any number plus its opposite is zero. Since the opposite of 10 is -10, 10+(-10)= 0: 5(10+-10)=0

3. 3 Use the distributive property. In other words multiply 5 by 10 and 5 by -10: 4·10+5·-10=0

4. Multiply. perform the first multiplication of step 4: 5·10=50, so: 50+4·-10=0

5. Subtract 50 from both sides. 50-50+5·-10=0-50; simplify the left side: 0+5·-10=0-40

5·-10=0-50

6. Simplify to solve for 5·-10. Simplify the right side: 5·-10=-50

____________________________________________________________

Given. 5·0=0

Step 2 Substitute. Any number plus its opposite is zero. 5(10+-10)=0

Step 3 Use the distributive property. 5·10+5·-10=0

Step 4 Multiply. 40+4·-10=0

Step 5 Subtract 40 from both sides. 5·-10=0-50

Step 5 Simplify to solve for 4·-10. 5·-10=-50

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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2 years ago

12) Solve for x using the quadratic formula. Express your answer in simplest form.

lidiya [134]

Answer:

Step-by-step explanation:

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2 years ago

A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude

EleoNora [17]

Answer:

a) $P(X \leq 2)= P(X=0)+P(X=1)+P(X=2)$

And we can use the probability mass function and we got:

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

And adding we got:

$P(X \leq 2)=0.0115+0.0576+0.1369 = 0.2061$

b) $P(X=4)=(20C4)(0.2)^4 (1-0.2)^{20-4}=0.2182$

c) $P(X>3) = 1-P(X \leq 3) = 1- [P(X=0)+P(X=1)+P(X=2)+P(X=3)]$

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

$P(X=3)=(20C3)(0.2)^3 (1-0.2)^{20-3}=0.2054$

And replacing we got:

$P(X>3) = 1-[0.0115+0.0576+0.1369+0.2054]= 1-0.4114= 0.5886$

d) $E(X) = 20*0.2= 4$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=20, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

We want this probability:

$P(X \leq 2)= P(X=0)+P(X=1)+P(X=2)$

And we can use the probability mass function and we got:

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

And adding we got:

$P(X \leq 2)=0.0115+0.0576+0.1369 = 0.2061$

Part b

We want this probability:

$P(X=4)$

And using the probability mass function we got:

$P(X=4)=(20C4)(0.2)^4 (1-0.2)^{20-4}=0.2182$

Part c

We want this probability:

$P(X>3)$

We can use the complement rule and we got:

$P(X>3) = 1-P(X \leq 3) = 1- [P(X=0)+P(X=1)+P(X=2)+P(X=3)]$

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

$P(X=3)=(20C3)(0.2)^3 (1-0.2)^{20-3}=0.2054$

And replacing we got:

$P(X>3) = 1-[0.0115+0.0576+0.1369+0.2054]= 1-0.4114= 0.5886$

Part d

The expected value is given by:

$E(X) = np$

And replacing we got:

$E(X) = 20*0.2= 4$

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2 years ago

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (G ▪ H) (5)? (5 – 7)2 (5)2 – 7 (5)2(5 – 7) (5 – 7)x2

Eddi Din [679]

Answer:

The correct answer is (5 - 7)^2

Step-by-step explanation:

To find this, start with the outermost equation g(x).

g(x) = x^2

Now put the next equation (h(x)) in for x in this equation.

(G ▪ H)(x) = (x - 7)^2

Now, put the number in for x in the equation given.

(G ▪ H)(x) = (5 - 7)^2

4 0

3 years ago

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