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2 years ago

An arc is 70.7 meters long and is intercepted by a central angle 5pi/4 radians. Find the diameter of the circle

1 answer:

3 0

Radius = arc length / (central angle in radians)
5 PI / 4 = 3.92699 radians
radius = 70.7 / 3.92699
radius = 18.004 meters
diameter = 36.008 meters
Source:
http://www.1728.org/radians.htm

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Mrs. Applebaum goes to the supermarket to buy a box of cereal. She has a coupon for 35 cents off. The original price is $4.73. H

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4.73 - 0.35 = 4.38. Mrs Applebaum needs to pay $4.38

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2 years ago

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Jeff want to build a model to predict the relationship between graduate GPA and first job salary. He collected data below. Jeff

umka21 [38]

Answer:

Approximate intercept is 4,515.33

Step-by-step explanation:

The intercept of the GPA grades and the first job salary can be determined by using the intercept function in excel spreadsheet.

In order to ascertain the intercept,we apply the intercept formula:

=intercept(known values of y,known values of x)

known values of y are the dependent variables.The first annual salary in this scenario is dependent upon the GPA of the graduate in question

Known values of x are the independent variables upon which the dependent ones rely for their values i.e the GPA itself

As found in the attached,the intercept is 4,515.33

Download xlsx

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2 years ago

A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co

Firlakuza [10]

Answer:

Step-by-step explanation:

1) The z value was determined using a normal distribution table. From the normal distribution table, the corresponding z value for a 94% confidence interval is 1.88

The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

p = 70/100 = 0.7

q = 1 - p = 1 - 0.7 = 0.3

n = number of selected users = 50

Mean, u = np = 50×0.7 = 35

Standard deviation, u = √npq = √50×0.7×0.3 = 3.24

x = number of internet users

The formula for normal distribution is expressed as

z = (x - u)/s

We want to determine the probability that no more than 25 were victims of e-mail fraud. It is expressed as

P(x lesser than or equal to 25)

The z value will be

z = (25- 35)/3.24 = - 10/3.24 = -3.09

Looking at the normal distribution table, the corresponding z score is 0.001

P(x lesser than or equal to 25) = 0.001

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2 years ago

Reconsider the system defect situation described in Exercise 26 (Section 2.2). a. Given that the system has a type 1 defect, wha

nexus9112 [7]

Answer:

hello exercise 26 is missing attached below is exercise 26

answer: a) 0.5 (b) 0.833 (c) 0.357 (d) 0.833

Step-by-step explanation:

A1... A3 = represents defects in system 1 to 3

A' 1 ---- A'3 = represents no defects in systems 1 to 3

P( A1 ∩ A2 ) = 0.06 ( as calculated )

P ( A1 ∩ A3 ) = 0.03 ( as calculated )

P ( A2 ∩ A3 ) = 0.02 ( as calculated )

a) Probability of having a type 2 defect

The probability of A given system having both Type 2 defect given that it has a type 1 defect is considered conditional probability

= p ( A2 | A 1 ) = $\frac{P(A1 n A2)}{P(A1)}$

= $\frac{0.06}{0.12}$ = 0.5

B) Probability of having all three defects given that it has type 1 defect

= P ( A1 ∩ A2 ∩ A3 | A1 ) = $\frac{P( A1 n A2 n A3 )}{P(A1)}$

= $\frac{0.01}{0.12}$ = 0.0833 ≈ 0.8

C) probability of having exactly one type of defect given that it has atleast one type of defect

= P ( exactly one Ai | at least one Ai ) = 0.357

attached below is the detailed solution

D) probability of not having the third defect given that it has the first two types of defects

= P ( A'3 | A1 ∩ A2 ) = 0.833

attached below is the detailed solution

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2 years ago

Which are the roots of the quadratic function f(b) = b2 – 75? Select two options. b = 5 StartRoot 3 EndRoot b = Negative 5 Start

yawa3891 [41]

Answer:

b = 5 StartRoot 3 EndRoot

b = Negative 5 StartRoot 3 EndRoot

Step-by-step explanation:

we have

$f(b)=b^{2}-75$

Remember that the root of a function is the value of x when the value of the function is equal to zero

In this problem

The roots are the values of b when the function f(b) is equal to zero

For f(b)=0

$b^{2}-75=0$

$b^{2}=75$

square root both sides

$b=(+/-)\sqrt{75}$

Simplify

$b=(+/-)5\sqrt{3}$

$b=5\sqrt{3}$ and $b=-5\sqrt{3}$

therefore

b = 5 StartRoot 3 EndRoot

b = Negative 5 StartRoot 3 EndRoot

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2 years ago

Read 2 more answers