Solve for x In the equation.

Answer:

a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb

b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of ​35 lb.

This means that [tex]\mu = 160, \sigma = 35[/tex]

Sample of 10:

This means that [tex]n = 10, s = \frac{35}{\sqrt{10}} = 11.07[/tex]

a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.​

This is 1 subtracted by the pvalue of Z when X = 158. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{158 - 160}{11.07}[/tex]

[tex]Z = -0.18[/tex]

[tex]Z = -0.18[/tex] has a pvalue of 0.4286

1 - 0.4286 = 0.5714

0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.

b.) Does this elevator appear to be​ safe?

No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.

Answer:hamburger

Hamburger

Step-by-step explanation:hamburger

Hamburger

100+75+70+x= 360° (sum of interior angles of quadrilateral)

x= 360-245= 115°

Answer:

286.94 cm

Step-by-step explanation:

Data:

             Area = 8,607

             b1 = 105

             b2 = 123

      Area = 1/2 * (b1 + b2) * h

      h = 2 * Area/b1 + b2

      h = 2 * 8,607/105 + 123

     h = 286.94 cm

I'm not sure if it's right but that's what my calculator gave me.

Answer: See explanation

Step-by-step explanation:

You didn't specify the equations but let me solve the question.

55% of 80.

The above statement simply means that you need to multiply 55% by 80. This will be:

= 55% of 80

= 55/100 × 80

= 0.55 × 80

= 44

Therefore, 55% of 80 is 44

Based on your question, any other equation that doesn't give 44 as an answer cannot be used to answer the question.

Answer:

1/5+8/10=1

Step-by-step explanation:

1/5 = 2/10

Answer:

B

Step-by-step explanation:

Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm

Hope this helps!

Answer:x= 9

Step-by-step explanation:

-4(x+5) = 16

-4*x= -4x -4*5= -20

16 - -20= 36

-4x/-4= x 36/-4=9

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

Answer:

answer is third,hope i helped u

I assume the given plane has equation

x + 3y + 4z = d

for some constant d ≠ 0.

You want to maximize the function V(x, y, z) = xyz subject to the above constraint. The Lagrangian would be

L(x, y, z, λ) = xyz - λ (x + 3y + 4z - d)

Find its critical points:

∂L/∂x = yz - λ = 0

∂L/∂y = xz - 3λ = 0

∂L/∂z = xy - 4λ = 0

∂L/∂λ = x + 3y + 4z - d = 0

The first three equations tell you that λ = yz = xz/3 = xy/4. Then, for instance,

yz = xz/3   →   3yz - xz = z (3y - x) = 0   →   z = 0   or   3y - x = 0

If z = 0, we get zero volume which is not useful. So 3y = x. Similarly, you would find x = 4z and 3y = 4z, so a critical point occurs when x = 3y = 4z.

In the fourth equation, we get upon substituting

x + 3y + 4z = 3x = d   →   x = d/3, y = d/9, z = d/12

Then the largest volume of this box would be

V(d/3, d/9, d/12) = d ³ / 324

Answer:

-4x + 7x - 2y + 7y =

3x + 5y

Step-by-step explanation:

Hope that this helps :)

9514 1404 393

Answer:

  (a, b) = (√2/2, √2/2) . . . . . choice C in each case

Step-by-step explanation:

The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...

  (cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)

The coordinate of point (a, b) is (√2/2, √2/2)

Note that the points on a unit circle will not have coordinate values greater than 1.

The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)

a = cos45 = √2/2

b = sin45 = √2/2

Hence the coordinate of point (a, b) is (√2/2, √2/2)

Learn more on unit circle here: https://brainly.com/question/23989157

Answer:

false

Step-by-step explanation:

Answer:

false they are called addend s

Answer:

Step-by-step explanation:

Half of the animals are cats. If they take in 5 cats, then the total number of animals is 2×5 = 10.

If they take in 8 animals, the number of cats is ½ of 8 = 4.

If they take in 6 cats, then the total number of animals is 2×6 = 12.

If they take in 16 animals, the number of cats is ½ of 16 = 8.

Answer:

None

Step-by-step explanation:

2(x + 10) - 17 = 2x - 2

simplify:

2x + 20 - 17 = 2x - 2

2x + 3 = 2x - 2

subtract 3 from both sides of the equation:

2x = 3x -5

no solution

Answer:

B

Step-by-step explanation:

Answer:

The ratio of a 45-45-90 traingle is 1:1:[tex]\sqrt{2}[/tex].

Answer:

If Jenny gives her brother 28 marbles, they will have 59 marbles each.

Step-by-step explanation:

The key to finding this answer is a mean, or average. Find it for the number of marbles:

[tex]\text{Mean}=\frac{87+31}{2}= \frac{118}{2}=59 \text{ marbles}[/tex]

So, on average, each one should have 59 marbles.

Finally, to find out how many marbles Jenny should give to her brother, subtract the average (59 marbles) from her count:

[tex]87-59=28 \text{ marbles}[/tex]

This means Jenny would give up 28 of her marbles to her brother.

it looks correct to me

ps. i hate savvas realize

Answer:

0.7

Step-by-step explanation:

2,3,4,6,8,9,10 are the possible choices.

∴P(even no. or multiple of 3)

= 7/10

Answer:

7/10 or 70%

Step-by-step explanation:

1     no

2     yes

3     yes

4     yes

5     no

6     yes

7     no

8     yes

9     yes

10    yes

7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them

Answer:

Mr. Chan's total account receivable is of $212,500.

Step-by-step explanation:

$85,000 this month this represents 40% of our receivables

This means that 85000 is 40% = 0.4 of the receivables, which is x.

What is mr. Chan's total account receivable?

We have to find x

[tex]0.4x = 85000[/tex]

[tex]x = \frac{85000}{0.4}[/tex]

[tex]x = 212500[/tex]

Mr. Chan's total account receivable is of $212,500.

Answer: 1224 miles

Step-by-step explanation:

Given

the average speed of a person is 51 mph

If speed is increased to 72 mph, he would have reached 7 hr earlier

Suppose d and t be the distance and time taken

[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]

If the speed is 72 mph

[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]

Also, [tex]t_1-t_2=7[/tex]

[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]

Answer:

74

Step-by-step explanation:

Answer:

Maybe 7.

Step-by-step explanation:

Okay, the answer could be difficult to find but if you look at the x-axis and also y-axis it would be very easy and not complicated.

there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.

IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)

This meant that for reflecting across the x axis, (x,y)->(x,-y)

For y axis its the opposite, just flipping to the side.

This meant that for reflecting across the y axis, (x,y)->(-x,y)

Answer:

[tex]x \ge 0[/tex]  

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

Step-by-step explanation:

Given

x = Cars from Baltimore to Trenton

y = Cars from Baltimore to Philadelphia

Required

Write out 6 inequalities

First, 0 or more cars must be shipped to both locations

So:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

Considering the warehouse in Baltimore.

(1) The warehouse can not ship more than the number of car it has (9).

So:

[tex]x + y \le 9[/tex]

Considering the warehouse in New York.

(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.

So:

[tex]8 - x \ge 0[/tex] --- To Trenton

[tex]3 - y \ge 0[/tex] --- To Philadelphia

(2) The warehouse cannot send out more than 6.

So:

[tex](8 - x) + (3 - y) \le 6[/tex]

So, the inequalities are:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

Answer:

Coefficient is your answer

Answer:

3 is a coefficient

Step-by-step explanation:

a constant is a number without a variable and that is unchanging

3 has the variable w attached to it and will change with the value of w

hope this helps <3

Answer:

5

Step-by-step explanation:

Answer:

Its def 5, My calculations are never wrong