Using the normal distribution, it is found that the area of the shaded region is of 0.7823.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
The mean is of 59, hence [tex]\mu = 59[/tex].The standard deviation is of 7, hence [tex]\sigma = 7[/tex].The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.2 - 59}{6.7}[/tex]
[tex]Z = 0.7761[/tex]
[tex]Z = 0.7761[/tex] has a p-value of 0.7823.
The area of the shaded region is of 0.7823.
To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213
Choose the equations that are not linear equations.
X/2 -y*3 = 1
O - x-y= 2.
x2 + y=4
x= 5
Answer:
#2 and #4
Step-by-step explanation:
Anything with a variable squared is not linear
where is it located on the number line
move it 0.25 units right
For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of a basic cable subscription for t months? What is the total cost for two years of service?
Answer:
t=23
Step-by-step explanation:
Emma pays 10$ to join a gym. For the first 5 months she pays a monthly 15$ membership fee. For problems 6-7 use the explicit rule f(n)=15n+10
6. Complete the table, then use the table to create ordered pairs.
7. Graph the sequence using the ordered pairs.
Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10
Step-by-step explanation:
The table of the ordered pairs and the graph is plotted.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.
We have the function as -
f(n) = 15n+10.
We can create a table as follows -
[n] f[n]
1 25
2 40
3 55
4 70
5 85
Refer to the graph of the function f(n) = 15n+10 attached.
Therefore, the table of the ordered pairs and the graph is plotted.
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
Will mark brainly!! :)
Answer:
(2,1)
Step-by-step explanation:
The answer is (2,1)
Evaluate the expression for x = 2 and y = 4.
Answer:
Not enough info
Step-by-step explanation:
Not enough info sry
please help with hegarty algebraic fractions and quadratic equations
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf \dfrac{3}{x} - \dfrac{3}{x + 4} = 1[/tex][tex] \sf \dfrac{3(x + 4) -3x }{x(x + 4)} = 1[/tex][tex] \sf \dfrac{3x + 12-3x }{x(x + 4)} = 1[/tex][tex] \sf 12 = {x(x + 4)} [/tex][tex] \sf {x}^{2} + 4x = 12[/tex][tex] \sf{ {x}^{2} + 4x - 12 = 0 }[/tex][tex] \sf{ {x}^{2} + 6x - 2x - 12 = 0}[/tex][tex] \sf{x(x + 6) - 2(x + 6) = 0}[/tex][tex] \sf(x - 2)(x + 6) = 0[/tex]Hence,
[tex] \sf x = 2 \: \: or \: \: x = - 6[/tex]Convert 20degrees Celsius to degrees Fahrenheit
Answer:
68 degrees fahrenheit.
Step-by-step explanation:
Formula:
(20°C × 9/5) + 32 = 68°F
Answer:
Its around 68F
Step-by-step explanation:
Hope this helped
What theorem can be used to prove that the two triangles are congruent?
SAS
AAS
SSS
ASA
A car slows down at -5.00 m/s2 until it comes to a stop after traveling 15.0 m. How much time did it take to stop.
Answer:
2.45 seconds to the nearest hundredth.
Step-by-step explanation:
Acceleration a = -5, distance s = 15, time = ?.
Final velocity = v = 0.
We need to use the equations of motion under constant acceleration.
v^2 = u^2 + 2as where u is the initial velocity
0 = u^2 + 2*-5*15
u^2 = 150
so u = √150
Now we use v = u + at:
0 = √150 - 5t
t = √150/5
t = 2.45 seconds.
How many Match sticks will be In Image 6?
Answer:
19
Step-by-step explanation:
what is the scale factor of 3x + 2, 3y -1?
(will give brainliest)
21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.
Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?
PLEASE HELP!!!!!! This is very important to me PLEASE HELP ASAP and if you help me god bless you
Answer:
try the 3rd one
Step-by-step explanation:
if it's not right then i'm sorry
Answer:
Below!
Step-by-step explanation:
The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Solve for HL hypotenuse leg theorem
-GEOMETRY
[tex]\huge \bf༆ Answer ༄[/tex]
The Additional information needed to prove the Triangles congruent by HL criteria is ~ D
[tex] \sf ST \cong SE \: \: or \: \: US \cong FS[/tex]ST = SE or US = FS
===========================================
Explanation:
As you mentioned, HL stands for hypotenuse leg. The sides EF and UT marked with triple tickmarks are congruent, and they are the congruent hypotenuses. That takes care of the "H" part of "HL". So we can cross off choice C because it mentions TU = EF, which is already taken care of.
The "L" part can involve either leg of the triangles. So we could involve the legs ST and SE (they appear to be the shorter legs), or we could involve the longer legs US and FS. We only need to pick one of those options to handle the "L" portion. If we knew all three aspects, then we could easily refer to the SSS (side side side) congruence theorem.
The HL theorem only applies to right triangles.
Write an equation that represent the line
Help please due today!
Answer:
36.87 degrees
Step-by-step explanation:
Use the law of sines
sin(90)/70 = sin(x)/42
Multiply each side by 42
42 * sin(90)/70 = sin(x)
use a calculator to get 0.6
Use inverse sin to find angle sin^-1 = 0.6
The angle is approximately 36.87 degrees
Determine the slope of the line. what does it represent about the plant?
Answer: slope is 2/3
Step-by-step explanation:
i cant fail this class
Answer:
what are you asking?
Step-by-step explanation:
What is the distance from point D to point C?
A.1 unit
B.2 units
C.3 units
D.4 units
Answer:
the distance from point D to point C.
B.2 units
Answer:
B:-2
Step-by-step explanation:
just count the box and you will get your answer
Solve for x help me please *****
Answer:
it's so blury pls fix the picture so I can solve it NOW
In a bag of candies, the total number of yellow candies and blue candies is 75. The number of yellow candies is
15 more than twice the number of blue candies. How many yellow candies are in the bag?
Help!!
Answer:
Step-by-step explanation: 2x+15 = 75
2x=60
x=30 blue candies
30 + 15 = 45 yellow candies in the bag
there is 60 girls and 90 boys in the 7th grade at sycamore middle school of theses students 14 boys and 10 girls write left handed what percentage of the 7th graders at sycamore middle school write left handed
Answer:
16%
Step-by-step explanation:
60+90=150 total students
14+10=24 left handed students
24/150= 0.16 or 16% of the population being left handed
3x+12-6x less than or equal to -9
Answer:
less than, it is the answer
HELPP
what is the integer 23504 into a polynomial ??
A possible polynomial for this integer is 5y x 94 + 4
A polynomial is a type of mathematical expression that includes:
Numbers, also known as constants.Mathematical symbols such as -, +, x.Variables that represented by letters.Now, to create a polynomial you will need at least two monomials or terms joined by a symbol. Here are some examples of polynomials:
4x + 5y-2x -x +7One possible polynomial for the integer 23504 is
5y x 94 + 4In this polynomial, y is equal to 50. Now, to make sure this is correct you can solve the polynomial.
5y x 94 + 4(5 x 50) x 94 + 4250 x 94 + 423500 + 423504Learn more about polynomial in: https://brainly.com/question/17822016
Hi Brainly community, it's me again!!
Answer:
I don't know
Step-by-step explanation:
Because I don't have a protractor and a scaled representation of the image you sent.
Answer:
D.) AFD and EFD
Step-by-step explanation:
supplementary angles equal 180° and this is the only set that produces 180 when added together. the supplementary angle is basically the whole straight line
empat angka setelah angka tiga
Answer:
hindi ko po gets
yan sorry
Finding the Area of a Triangle
Calculate the area of the triangle:
A=
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Why does demand for a product or service play a significant role in starting a new business?
Answer:
Basic economics like demand should important to you whether you run a seasonal business, buy a vacation property for passive income, or run a more traditional firm.
Alright I need help.. I will mark brainliest .
;-;
Answer:
x - y = 9
Step-by-step explanation:
When x goes up by 1, y goes up by 1. That means there is a constant difference between the values. That difference is x1 -y1 = 1 -(-8) = 9.
An equation relating the values is ...
x - y = 9
_____
Some folks like to see the relation in "y =" form. You can add y-9 to both sides to get that form:
y = x -9