Answer:

Answer: 0.1397 ; 0.385

Step-by-step explanation:

Given the following :

Small engine population = 45% ; 10% fail

Medium engine population = 35% ; 12% fail

Large engine population = 20% ; 15% fail

Probability that a randomly chosen car fails emission test :

P(failure) = Σ(population % * failure %)

P(failure) = (45%*10%) + (35%*12%) + (20%*15%)

P(failure) = 0.045 + 0.042 + 0.03 = 0.117

B) what is the probability it is a car with a small engine

P = small engine cars with emission failure / total emission failure

= (0.45 × 0.1) / 0.117 = 0.045 / 0.117 = 0.3846

= 0.385

Joyce Flynn, an insurance agent, earned in her first week on the job a commission of $1,800. Her commission percent is 30 percent. Joyce's total sales for the week was:

A typical person has an average heart rate of 70.0 70.0 beats/min. Calculate the given questions. How many beats does she have in 6.0 6.0 years? How many beats in 6.00 6.00 years? And finally, how many beats in 6.000 6.000 years? Pay close attention to significant figures in this question.

Select all the properties that are used below to solve 7y − 15 = −29. 7y – 15 + 15 = –29 + 15 7y = –14 7y7 = –147 y = –2 A. Identity Property of Multiplication B. Addition Property of Equality C. Distributive Property D. Inverse Property of Multiplication E. Commutative Property of Addition

Un recipiente cilíndrico tiene un diámetro de 160cm. y la misma altura. ¿Cuánto litros de agua puede caber?

Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What was the total amount of chains bonus?

A typical person has an average heart rate of 70.0 70.0 beats/min. Calculate the given questions. How many beats does she have in 6.0 6.0 years? How many beats in 6.00 6.00 years? And finally, how many beats in 6.000 6.000 years? Pay close attention to significant figures in this question.

Select all the properties that are used below to solve 7y − 15 = −29. 7y – 15 + 15 = –29 + 15 7y = –14 7y7 = –147 y = –2 A. Identity Property of Multiplication B. Addition Property of Equality C. Distributive Property D. Inverse Property of Multiplication E. Commutative Property of Addition

Un recipiente cilíndrico tiene un diámetro de 160cm. y la misma altura. ¿Cuánto litros de agua puede caber?

Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What was the total amount of chains bonus?

702.96 sq ft

703.36 sq ft

703.96 sq ft

704.36 sq ft

Answer:

703.36 sq ft

Step-by-step explanation:

The lateral area is the product of the circumference and the height.

LA = 2π·r·h = 2·3.14·(7 ft)(16 ft) = 703.36 ft²

_____

Comment on the answer choices

Please note this is not the actual area, which rounds to 703.72 ft². The above value is obtained only by using an inappropriate value for π. The 5-significant-digit answer is not supported by a 3-significant-digit value for π. More appropriate would be π≈3.1416.

The **equation** becomes 4610 = 2115, which is not true.

Let's break down the given equation and the **steps** to solve it step by step:

Given the equation: 47 × 98

Step 1: Express 98 as a combination of (47)'s and (2)'s. (98) can be written as (47 × 2).

Step 2: Substitute the expression for 98 in terms of 47 and 2 back into the equation:

47 × 98 = (47 × 47) - (2 × 47)

Step 3: Calculate the **values** on both sides of the equation.

- The left side: 47 × 98 = 4610.

- The right side:

- 47 × 47 = 2209

- 2 × 47 = 94

- Subtracting 94 from 2209 gives 2115.

Explanation:

1. We start with the equation 47 × 98, where 98 is represented as 47 × 2.

2. We **substitute** 98 in terms of 47 and 2 to get (47 × 47) - (2 × 47).

3. We calculate the values on both sides of the equation to find that they don't match. This indicates that the original equation is not true.

Learn more about **Algebraic Equations** link is here:

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**Answer:**

The answer to your question is:

2 and -49

**Step-by-step explanation:**

2 x -49 = -98

2 + (-49) = -47

x2 - 47x - 98 = 0

The solution to factor the quadratic equation above is:

(X + 2 ) (X - 49)

Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:

x2 - 47x - 98 = (X + 2 ) (X - 49)

**Answer:**

0.6

**Step-by-step explanation:**

each child gets just over half a pizza

**Answer:**

About 4

**Step-by-step explanation:**

Depends how many slices each pizza is but based on the average 8 slice pizza, 8 slices each pizza 3 pizzas 8*3= 24 slices

24/5= about 4 slices per child with 4 slices left

First of all we need o use the standard normal table to see what value if z will have 10% of the area (probability) to the left of it. We see that z value is approximately z = -1.282

Now all we have to do is calculate the value of x that corresponds to this value of z. We have

( x - µ ) / σ = -1.282 Substituting in the known values, we have

( x - 4.4 ) / 1.3 = -1.282 and x = 2.73 years

Now all we have to do is calculate the value of x that corresponds to this value of z. We have

( x - µ ) / σ = -1.282 Substituting in the known values, we have

( x - 4.4 ) / 1.3 = -1.282 and x = 2.73 years

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

Step 1: 6,436 meters multiplied by conversion factor 1 mile over 1,609 meters equals 4 miles

Step 2: conversion factor of 1,760 yards over 1 mile divided by 4 miles equals 440 yards

Step 3: 440 yards

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

How can the error in the student's work be corrected? (1 point)

a

The 6,436 meters and the 1,609 meters in Step 1 should be switched.

b

The 1 mile and the 1,609 meters in Step 1 should be switched.

c

The conversion factor should be multiplied in Step 2 instead of being divided.

d

The conversion factor should be added in Step 2 instead of being divided.

**Answer:**

**You usually wouldn't divide lengths **

**Step-by-step explanation:**

**Answer:**

The student can proceed with the calculation of the confidence interval for the difference in population proportions. This is because, from the data she has, 3/4 of the Business students admitted to cheating while 1/2 of the Nursing students admitted to cheating also.

This is above the average number of students in her given sample size which is valid for extrapolation to the College Majors being investigated.

**Step-by-step explanation:**