Working alone, Carlos can oil the lanes in a

Assume X is normally distributed with a mean of 5 and a standard deviation of 2. Determine the value for x that solves each of t

mihalych1998 [28]

Answer:

U = 5

S = 4

1.) P(X>x) = 0.5

Prob = 1-0.5 = 0.5

We have z = 0, that is the z score with the probability of 0.5

X = u + z(s)

= 5+0*4

= 5

2.) 1-0.95 = 0.05

Z score having this probability

Z = -1.64

X = 5-1.64*4

= 5-6.56

= -1.56

3.) P(z<1.0) - p(X<x) = 0.2

0.841345-0.2 = .641345

We find the z score given this probability

Z= 0.36

X = 5+0.36*4

= 5+1.44

= 6.44

4.) P(X<x)-P(Z<-.5)

0.95 = p(X<x)-0.308538

p(X<x) = 0.308538 + 0.95

= 1.258538

There is no x value here, given that the probability is more than 1.

5. 1-0.99/2 = 0.005

We get the z score value

= -2.58

U - 5 = 5-5 = 0

-x = 0-2.58(4)

X = 10.32

5 0

2 years ago

Solve for h.<br> h − 999 = –341

scZoUnD [109]

I think h is 658 i could be wrong

8 0

3 years ago

Read 2 more answers

Zahra has paper rectangles of different sizes. Every rectangle is 5 centimeters longer than it is wide. Is there a proportional

Alika [10]

Answer: The answer is NO. Explained below.

Step-by-step explanation: Given that Zahra has a number of rectangles of different sizes which are made of paper. Also, the length of every rectangle is 5 cm more than its breadth.

We are to find whether the relationship between lengths and breadths of rectangles is proportional or not.

Let, 'l' represents the length and 'b' represents the breadth of any of these rectangles, then according to the given information, we can write

l = b + 5.

For a proportional relationship, we need a relation of the form

l = k × b, which is not always possible in the given case.

For example, if l = 8, b = 3, and l=9, b=4 then we cannot write

l = k × b, for a constant k.

Hence there is no proportional relationship between the lengths and widths of these rectangles.

Thus, the answer is NO. Hence explained.

5 0

3 years ago

Read 2 more answers

Geometry

satela [25.4K]

Answer:

Option (C)

Step-by-step explanation:

From the picture attached,

Two lines 'h' and 'k' are the parallel lines and a transversal 'n' is intersecting these parallel lines at two distinct points.

By the theorem of alternate interior angles, angle 8 and angle 11 will be equal in measure.

∠8 ≅ ∠11 [Alternate interior angles]

m(∠8) = m(∠11) = 118°

Therefore, Option (C) will be the answer.

7 0

3 years ago

The average hourly wage for a high school student in Illinois is $8.25 per hour with a standard deviation of $.25. Assume hourly

serious [3.7K]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: hourly wage of a high school student

X~N(μ;σ²)

X[bar]= $8.25

σ= $0.25

For a 95% CI for the average hourly wage for<u> 1 </u>high school student:

For this exercise you have to consider the sample size n=1

a) The margin of error of the CI is calculated as:

d= $Z_{1-\alpha /2}$ * σ

1-α: 0.95 ⇒ α:0.05

1-α/2:0.975

$Z_{1-\alpha /2}= Z_{0.975}= 1.96$

d= 1.96 * 0.25= 0.49

b)

The formula for the interval is

X[bar] ± $Z_{1-\alpha /2}$ * σ

[8.25 ± 0.49]

[7.76; 8.74]

With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.

c)

Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.

I hope this helps!

7 0

3 years ago