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
Neko [114]
3 years ago
12

Assume the speed of vehicles along a stretch of I-10 has an approximately normal distribution with a mean of 81 mph and a standa

rd deviation of 8 mph. The speed limit is 65. If you pick a car on the highway at random, what is the probability the vehicles is going less than or equal to the speed limit?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: speed of a vehicle along a stretch of I-10 (mph)

This variable has a normal distribution with mean μ= 81 mph and a standard deviation σ= 8 mph.

The speed limit in the said stretch is 65 mph.

You need to calculate the probability of picking a car at random and its speed be at most 65 mph, symbolically:

P(X≤65)

To reach the probability, you need to use the standard normal distribution. To standardize the value fo X you have to subtract the value of μ and then divide it by σ:

P(Z≤(65-81)/8)= P(Z≤-2.00)

Now you look for the corresponding probability in the table of the standard normal distribution, since the value is negative you have to use the left entry. The integer and first decimal numbers are in the first column and the second decimal number is in the first row.

P(Z≤-2.00)= 0.0228

I hope it helps!

You might be interested in
Please help im so confused​
slava [35]

Answer:

\text{1. }50^{\circ}\\\text{2. }80^{\circ}

Step-by-step explanation:

1. The measure of an inscribed angle is always half the measure of the arc it forms. Since angle ACB forms arc AB with a measure of 100 degrees, the measure of angle ACB will be equal to \frac{100}{2}=\boxed{50^{\circ}}.

2. Relating to problem 1, both inscribed angles marked in the figure form the same arc. All inscribed angles forming the same arc will have the same measure. Therefore, the measure of angle GEF is equal to \boxed{80^{\circ}}.

3 0
2 years ago
How do you do #1 & #2 ?
Alexeev081 [22]
Answer: \\ 1. \: x = \frac{ {32}^{2} }{24} = \frac{128}{3} \\y = \sqrt{ {24}^{2} + {32}^{2} } = 40\\ z = \frac{32 \times 40}{24} = \frac{160}{3} \\ \\ 2. \: x = \sqrt{( {4 \sqrt{5} )}^{2} - {8}^{2} } = 4
7 0
3 years ago
PLEASE HELP!<br><br> 36&lt;8p+4&lt;44<br> The solution set is__.
Nataliya [291]
4<p<5
(4,5) 
Open circles, not shaded. 
Hope this helped!
5 0
3 years ago
Solve for x. PLZZZzzzz
choli [55]

Answer:

Actually,there x is qual to ninty minus x because of vertically opposite side...cauce ninty minus x comes in vertical opposite side by dragging the ninty minus x down ...so finally x is equalto ninty minus x and two x is equal to nintynow divide ninty by nine it's your ans.

8 0
3 years ago
Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
In-s [12.5K]
PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


a = 2
Hence the equation of the parabola in vertex form is


y  + 2 = 2 {(x - 1)}^{2}


PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


y + 2 = 2 {x}^{2}  - 4x + 2


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
where

a=1,b=-4,c=0

This is the standard form
7 0
3 years ago
Other questions:
  • Help please and show work too
    9·1 answer
  • Could someone please help me with the question please
    10·1 answer
  • A pair of skis were $275 but were on sale for $195. What percent reduction is this?
    7·1 answer
  • at Westside high school, 24% of the 215 sixth grade students walk to school. about how many of the sixth grade students walk to
    5·1 answer
  • 8 tenths minus 5 hundredths
    8·1 answer
  • How can a veto be overridden?
    9·2 answers
  • If x is a whole number and 437 = (21 + x)(21 - x), then x =
    8·1 answer
  • I just need help with this
    13·1 answer
  • If Joe printed 7 flyers in 56 minutes how many did he print in one minute
    6·2 answers
  • HELP PLS!!!!!!!!!!!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!