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Question 11 of 40
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x<_47)?
A. 0.84
B. 0.975
C. 0.025
D. 0.16
SUBMIT

9514 1404 393

Answer:

  (b)  6(a+1)

Step-by-step explanation:

Common factors are cancelled from numerator and denominator.

  [tex]\displaystyle\frac{a^2-2a+1}{6}\div(a^2-1)=\frac{(a-1)^2}{6}\cdot\frac{1}{(a-1)(a+1)}\\\\=\frac{(a-1)(a-1)}{6(a-1)(a+1)}=\boxed{\frac{a-1}{6(a+1)}}[/tex]

The denominator of the result is 6(a+1).

Answer:

The 2nd one is related to the climate

Step-by-step explanation:

HaVe An AmAzInG DaY

Answer:

D

Step-by-step explanation:

$49 one time payment so it is added.

$25 per month and he pays for a year(12 months) = 12 times 25

$49 + (12 × 25)

Answer:

Step-by-step explanation:

- 15, -3, -1, 0 , 1, 5

Answer:

-15,-3,-1,0,1,5

Step-by-step explanation:

Answer:

Option B, the y-intercept changes

Explanation:

This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.

Hope this helps!

Answer:

I feel like its 8, but correct me if I'm wrong I'm not 100 percent sure!

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

(0, 10)

-----------------

Hi there!

»»————-　★　————-««

I believe your answer is:  

X - Intercept: (-9, 0)

Y - Intercept: (0, -6)

»»————-　★　————-««

Here’s why:

The x and y-intercepts of a line is where a given function intercepts the x or y axes.

I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).

Therefore:

[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]

See the graph attached below!

»»————-　★　————-««

Another way to solve this problem is to do this algebraically.

[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]

----------------------------

[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 9

Step-by-step explanation:

tan 53° = 12/x

x = 12/tan 53°

x = 9.04

Answer: 1,000 cm^3

Step-by-step explanation:

Volume of cube= bhw

All sides of a cube are equivalent so 10^3= 1000

Answer:

14

Step-by-step explanation:

Answer: m = 4

Step-by-step explanation:

-3m(4) = -12

Answer:

4

Step-by-step explanation:

-3 x 4 = -12

the answer is not -4 because -3 x -4 would just be 12.

Answer:

well  its not c so...

Step-by-step explanation:

that'll leave you w 3 others to choose from. sorry.

The series diverges because it does not have a sum option, fourth is correct.

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.

We have an infinite series:

[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]

[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]

The above series is geometric series with first term 2 and the common ratio is 2.

Here 2>1

By the ratio test, the series is divergent.

Since the common ratio is greater than 1 the sum will be infinite.

Thus, the series diverges because it does not have a sum option, fourth is correct.

Learn more about the convergent of a series here:

brainly.com/question/15415793

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Answer:

D

Step-by-step explanation:

Answer:

yoi

Step-by-step explanation:

yoi

Answer:

Continuous: g(x) and j(x)

Removable: h(x) and m(x)

Infinite: f(x) and i(x) and k(x)

Jump: l(x)

Step-by-step explanation:

Continuous: g(x) and j(x), Removable: h(x) and m(x), Infinite: f(x) and i(x) and k(x) & Jump: l(x)

A function is a relation among a fixed of inputs and a fixed of permissible outputs with the belonging that each input is associated with exactly one output. permit A & B to be any non-empty units, mapping from A to B might be a feature most effective while every detail in set A has one give up handiest one picture in the set.

The eight sorts are linear, strength, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.

One to 1 characteristic or one to at least one mapping states that each detail of one set, say Set is mapped with a completely unique element of another set, say, Set in which A and B are distinctive units.

f(x) = f(y) implies x  then f is one to at least one.

Learn more about functions here:-https://brainly.com/question/6561461

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Answer:

 [tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m

Number line model represented in option C represents the expression 6 + (-2).

Number line is a pictorial representation of numbers, both negative and non-negative numbers, written on a horizontal straight line within specific intervals.

Number line are used to determine basic mathematical operations like addition, subtraction, division and multiplication.

So here, we are adding the value -2 with 6.

First draw an upward arrow from 0 to 6 in order to represent that we are initiating the addition process with 6.

Then the number -2 added to 6 implies that the number 2 is actually deducting from 6.

So we draw a downward arrow to unit units from 6.

Then we get the number 4 corresponding to the point where the arrow ends.

Hence, option C is the model which represents the expression 6 + (-2).

To learn more about Number Line, click:

https://brainly.com/question/13425491

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Answer:

[tex]\huge\boxed{\sf Solution\ Set = \{0,6\}}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2x}{x+4} = \frac{x}{x-1} \\\\Cross \ Multiplying \\\\x(x+4) = 2x(x-1)\\\\x^2 + 4x = 2x^2 -2x\\\\2x^2 -x^2 = 4x + 2x\\\\x^2 = 6x \\\\x^2 -6x = 0\\\\Either,\\\\x = 0 \ \ \ \ OR \ \ \ \ x-6 = 0\\\\x = 0 \ \ \ \ OR \ \ \ \ x = 6[/tex]

Hence,

Solution Set = {0,6}

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Step-by-step explanation:

2x x(x-1) = x x (x+4)

2x x (x-1) - x x (x+4)= 0

2x^2 - 2x - x x (x+4) = 0

2x^2 - 2x - x^2 - 4x = 0

x^2 - 2x - 4x = 0

x^2 - 6x = 0

x x (x-6) = 0

x = 0

x - 6 = 0

x = 6

The equation has 2 solutions

x1 = 0, x2 = 6

Answer:

<BFC and <DCA

Step-by-step explanation:

Vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex

Answer:

Your answer is 211.8

Step-by-step explanation:

We've made a right triangle so the equation is a²+b² = c²

141²+158² = c²

141²+158² = 44845

Then you square root it

√44845 = 211.8

Answer:

After 7 assignments and for the line of best fit you want to draw a line where half of the dots are on ether side of the of the line but it also has to fallow the flow of the dots.

Answer:

14.4 is the value of x in the nearest tenth

Step-by-step explanation:

c^2=a^2+b^2

Answer:

Which subject is optional in the morning??

Answer:

y = -5/4x + 3

Step-by-step explanation:

Answer:

The first answer is correct.

Step-by-step explanation:

If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.

Hope that this helps!

Answer:

85

Step-by-step explanation:

Answer:

its 85

Step-by-step explanation:

Answer:

looks right

Step-by-step explanation:

Answer:

$39.10

Step-by-step explanation:

$40 * 1.15 = $46

$46 * 0.85 = $39.10