1answer.
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
nevsk [136]
3 years ago
7

Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of ge

tting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time
Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Answer:

40%

Step-by-step explanation:

You might be interested in
A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op
Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, \dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h

Volume of cone is given by

V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3

By differentiating with respect to time t, we get that

\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}

Now,  the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie \dfrac{dv}{dt}=-4\ in^3

and h = 2 inches deep.

-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0
3 years ago
Which of the following statements is true of an essay's conclusion?
laiz [17]
The answer is option D.
8 0
3 years ago
Let f(x) = (5)^x+1 .Evaluate f (-3) without using a calculator
rewona [7]

Answer:

f\left(-3\right)=\frac{126}{125}

Step-by-step explanation:

Given

f\left(x\right)\:=\:\left(5\right)^x+1

Putting x = -3 to find f(-3)

f\left(-3\right)\:=\:\left(5\right)^{\left(-3\right)}+1

as

5^{-3}=\frac{1}{125}       ∵  \mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

so

f\left(-3\right)=\frac{1}{125}+1

\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:125}{125}

f\left(-3\right)=\frac{1\cdot \:\:125}{125}+\frac{1}{125}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

f\left(-3\right)=\frac{1\cdot \:\:125+1}{125}

f\left(-3\right)=\frac{126}{125}      ∵ 1\cdot \:125+1=126

Thus,

f\left(-3\right)=\frac{126}{125}

6 0
3 years ago
1. Find the value of the unknown angles in the following diagram.
kipiarov [429]

Answer:

z= 40

y=140

x= 115

Step-by-step explanation:

look at the pics

6 0
3 years ago
F(x) = 9-3x<br> g(x) = 5x-7<br> Find f(x)+g(x).
Bezzdna [24]

Answer:

In the problem, the sum of the two functions is 2x + 2

Step-by-step explanation:

For this problem, we have to add together f(x) and g(x).

<em>f(x) = 9 - 3x</em>

<em>g(x) = 5x - 7</em>

(f + g)(x) = (9 - 3x) + (5x - 7)

Combine like terms.

(f + g)(x) = 2x + 2

So, when you combine the two functions together, you will get 2x + 2.

8 0
3 years ago
Other questions:
  • Which is the equation of the line that contains points (0, 5) and (5, 8)
    9·2 answers
  • What are the steps of 0.234÷0.78
    12·1 answer
  • Lake City has a population of 3600 and is expected to grow by a factor of 1.3 every 10 years. Which is the best estimate of Lake
    14·1 answer
  • A sequence can be generated by using an=4a(n-1)
    8·1 answer
  • At Computer Central, the cost of renting a computer is $45 plus $35 per day. The total cost can be represented by the equation y
    10·1 answer
  • Which of the following values cannot be​ probabilities? 0.04​, 5 divided by 3​, 1​, 0​, 3 divided by 5​, StartRoot 2 EndRoot​, n
    12·1 answer
  • Mountain officials want to build a new ski lift from B to C, as shown in the figure below. The distance from A to C is 1540 feet
    10·1 answer
  • Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about poin
    14·1 answer
  • 5. Write two expressions for the area of the big rectangle. ​
    15·1 answer
  • Please awnser!!!!!!!!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!