answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KATRIN_1 [288]
2 years ago
13

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –

72.5| = 4. What are the minimum and maximum temperatures in the house?
Mathematics
2 answers:
Ksju [112]2 years ago
8 0
So solve for x

|x-72.5|=4
the || makes the inside positive so it could be positivie and negative so

x-72.5=4 and x-72.5=-4
solve for x in both situations

x-72.5=4
add 72.5 to both sides
x=76.5


x-72.5=-4
add 72.5 to both sides
x=68.6


the minimum it can be set to is 68.5 and the max is 76.5
labwork [276]2 years ago
5 0

Answer:

its b for E2020 users

Step-by-step explanation:

You might be interested in
The student to faculty ratio at a small college is 17:3 the total number of students and faculty is 740. How many faculty member
larisa86 [58]

Answer:

111

Step-by-step explanation:

It is given that the student to faculty ratio at a small college is 17:3.

Let number of students and faculty members are 17x and 3x respectively.

It is given that total number of students and faculty is 740.

17x+3x=740

20x=740

Divide both sides by 20.

x=37

Number of student =17\times 37=629

Number of faculty members =3\times 37=111

Therefore, there are 111 faculty members at the college.

3 0
2 years ago
A customer visiting the suit department of a certain store will purchase a suit with probability .22, a shirt with probability .
BigorU [14]

Answer:

a) The probability that he doesnt but any items is 0.49

b) He buys exactly 1 of those items with probability 0.28

Step-by-step explanation:

lets call su the event that the customer purchases a suit, sh the event that teh customer purchases a shirt and t the event that the customer purchases a tie.

Remembe that for events A, B and C we have that

P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

Also, we are given that

P(su) = 0.22

P(sh) = 0.3

p(t) = 0.28

p(su ∩ sh) =  0.11

P(su ∩ t) = 0.14

P(sh ∩ t) = 0.1

P(sh ∩ t ∩ su) = 0.06

The event that he doesnt buy any item has as complementary event su ∪ sh ∪ t, therefore

P( he doesnt but any items) = 1-P(su U sh U t) =

1-( P(su) + p(sh) + p(t) - P(su ∩ sh) - p(su∩t) - p(sh∩t) + p(su∩sh∩t) ) =

1-(0.22+0.30+0.28-0.11-0.14-0.1+0.06) = 1-0.51 = 0.49

b) The probability that he buys at least 2 items is equal to

p(su ∩ t) + p(su ∩ sh) + p(sh ∩ t) -2 p(su ∩ t ∩ sh) (because we are counting the triple intersection 3 times, so we need to remove it twice)

This number is

0.14+0.11+0.1-2*0.06 = 0.23

Thus, the probability that he buys exactly one item can be computed by substracting from one the probability of the complementary event : she buys 2 or more or non items

P(he buys exactly one item) = 1- ( p(he buys none items) + p(he buys at least 2) ) = 1- 0.49-0.23 = 0.28

7 0
2 years ago
Read 2 more answers
A race car driving under the caution flag at 40 feet per second begins to accelerate at a constant rate after the warning flag.
shtirl [24]

Answer:

t = 1.667 s

Step-by-step explanation

The distance traveled since the warning flag in feet is characterized by

d = 30*t^2 + 40*t

Where t is the time in seconds after the car starts accelerating.

We can easily solve this question by plotting the equation using a graphing calculator or plotting tool.

We need to find the time for which the distance d = 150 ft

150 = 30*t^2 + 40*t     , t > =0

We can see that this value in the graph is approximately

t = 1.667 s

We can verify

30*(1.667)^2 + 40*(1.667 ) ≈ 150

7 0
2 years ago
There are 200 students in the 7th grade class at Brookside Middle School. Of these students, 12% play volleyball and 15% play ba
Phoenix [80]
P(volleyball and baseball) = 4/200 x 100 = 2%
P(either volleyball or baseball) = P(volleyball ∪ baseball) = P(volleyball) + P(baseball) - P(volleyball and baseball) = 12% + 15% - 2% = 25%.

25% play either volleyball or baseball.
4 0
1 year ago
Read 2 more answers
Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is
scZoUnD [109]

Answer:

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

Step-by-step explanation:

From the given triangle JKL;

Hypotenuse KJ = 10.9

Length LJ is the opposite = 8.9cm

The angle LKJ is the angle opposite to side KJ = x

Using the SOH CAH TOA Identity;

sin theta = opp/hyp

sin LKJ = LJ/KJ

Sinx = 8.9/10.9

x = arcsin(8.9/10.9)

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

7 0
2 years ago
Read 2 more answers
Other questions:
  • Find all the zeros of the equation<br> -2x^4+27x^2+1200=0
    9·1 answer
  • Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality repr
    8·2 answers
  • In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o. What are the measure of angles PQR and PSR? m = 54o
    14·2 answers
  • Points B and C lie on a circle with center O and radius r = 5 units. If the length of BCwn is 10.91 units, what is m∠BOC in radi
    11·2 answers
  • The sample variance of hourly wages was 10. what is the sample standard deviation?
    7·1 answer
  • Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52, and then they charge her
    10·1 answer
  • The area of a couple's rectangular living room is 40 sq meters. The length of the room is 3 meters more than the width. What is
    7·1 answer
  • A 5 hour conference booking is required for an office party for 120 people which includes a buffet dinner. Hotel 5 has recently
    10·1 answer
  • 1. Find an odd natural number x such that LCM (x, 40)= 1400
    13·1 answer
  • Mateo has 7/2 pounds of apples. He needs 3/4 pounds of apples for each batch of applesauce. How many batches of applesauce can
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!