290 pennies are equal to how many dimes

If 15% of the customer's total is $22.05, then the customer's total is

Harrizon [31]

Answer: If 15% of the customer's total is $22.05, then the customer's total is $147.

Step-by-step explanation:

Let x be the customer's total amount.

It is given that 15% of the customer's total = $22.05

⇒15% of x= $22.05

$\Rightarrow0.15x=\$22.05\\\\\text{Divide 0.15 on both sides, we get}\22.05\\\\\Rightarrow x=\frac{22.05}{0.15}\\\\\Rightarrow x=\$147$

Therefore, If 15% of the customer's total is $22.05, then the customer's total is $147.

6 0

2 years ago

Read 2 more answers

A standardized test consists of 100 multiple-choice questions. Each question has five possible answers, only one of which is cor

Nady [450]

Answer:

a) S ~ N ( 0 , 48 )

b) P ( S > 10 ) = 0.0745

Step-by-step explanation:

Given:-

- We have n = 100 MCQs

- 5 options for every MCQs

- probability to guess each MCQ correct is independent from one another.

- Right Answer points= +4

- Wrong answer points= -1

Find:-

a) Find ????(S).

b) Find P(S>10). Write your answer as a math expression, then use the code cell below to find its numerical value and provide it along with your math expression.

Solution:-

- The probability (p) of guessing a correct answer for each question is:

p ( correct answer ) = 1 / 5 = 0.2

- The mean number of correct and incorrect answers can be determined by:

( Mean correct answers) = n*p = 100*0.2 = 20

( Mean incorrect answers) = n*(1-p) = 100*0.8 = 80

- The mean score for correct answers would be:

Sc ( u ) = (Points for right answer)*(Mean correct answers)

Sc ( u ) = ( +4 )*(20)

Sc ( u ) = 80 points

The mean score for incorrect answers would be:

Si ( u ) = (Points for wrong answer)*(Mean incorrect answers)

Si ( u ) = ( -1)*(80)

Si ( u ) = -80 points.

- The mean score attained by a student would be S (u):

S (u) = Sc(u) + Si(u)

S (u) = 80 - 80 = 0

- The variance of the correct and incorrect answers can be determined by:

Var ( correct answers ) = n*p*q = 100*0.2*0.8 = 16

Var ( in-correct answers ) = n*p*q = 100*0.2*0.8 = 16

- The variance of points of correct answers can be:

Sc (Var) = Var ( correct answer ) * (Points for right answer)

Sc (Var) = 16*(+4) = +64 points

- The variance of points of incorrect answers can be:

Si (Var) = Var ( incorrect answer ) * (Points for wrong answer)

Si (Var) = 16*(-1) = -16 points

- Since the probabilities of guessing correct answers are independent. Then as per law of independence:

S ( Var ) = Sc (Var) + Si (Var)

= 64 - 16

= +48 points

- The standard deviation for the distribution (s.d) of points (S) is:

S ( s.d ) = √S (Var) = √48 = 6.9282

- The number of points (S) attained by a student by guessing on the test containing MCQs would have a mean u = 0 points and s.d = + 48 points.

- The random variable (S) can be modeled by normal distribution as follows:

S ~ N ( 0 , 48 )

- To find the required probability P(S>10).

Compute the Z-value of S = 10 points:

Z - value = ( S - u ) / s.d

= ( 10 - 0 ) / 6.9282

= 1.4434

Use the standardized Z-table for normal distribution:

P ( Z > 1.4434 ) = 0.0745

The probability is:

P ( S > 10 ) = P ( Z > 1.4434 ) = 0.0745

5 0

2 years ago

This form will be sent to Lily by the end of January. She will use this W-2 form to...

yKpoI14uk [10]

Answer:

D-FIle her income taxes

Step-by-step explanation:

7 0

1 year ago

An oil company claims that the sulfur content of its diesel fuel is at most .15 percent. To check this claim, the sulfur content

GarryVolchara [31]

Answer:

No, it would have to have been greater than .192 to invalidate the claim.

Step-by-step explanation:

3 0

2 years ago

The inside diameter of a randomly selected piston ring is a random variable with mean value 13 cm and standard deviation 0.08 cm

sweet-ann [11.9K]

Answer:

a) P(12.99 ≤ X ≤ 13.01) = 0.3840

b) P(X ≥ 13.01) = 0.3075

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the cental limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .