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
For each problem below put the lettered measures in order for greatest to the least
Angles can be used to estimate the side lengths of a shape.
The letters in order of greatest to least are (a), (b) and (c)
The sum of angles at side (a) is:
[tex]a = 30 + 50[/tex]
[tex]a = 80[/tex]
The sum of angles at side (c) is:
[tex]c = 50 + 90[/tex]
[tex]c = 140[/tex]
The sum of angles at side (b) is:
[tex]b = 40 + 90[/tex]
[tex]b = 130[/tex]
So, we have:
[tex]a = 80[/tex]
[tex]b = 130[/tex]
[tex]c = 140[/tex]
The smaller the base angles, the longer the side.
Hence, the letters in order of greatest to least are (a), (b) and (c)
Read more about angles at:
https://brainly.com/question/11585894
Can someone help me with this one too
Answer:
3(4-2P) = 6*4
12-6P=24
-6P=24-12
P= 12/-6
P= -2
ANS WER AS SOON AS POSSIBLE
AND I WILL MARK U AS BRAINLIST
Answer:
False
Step-by-step explanation:
use PEMDAS.
since there is no perenthesis you start with exponents.
10^5=100000
10^2=100
6*100,000+6*100
Next, you go to multipliation
600,000+600
Finally, you move on to addition
600,600
a baker has 3 pounds of sugar. the baker will put the sugar into 5 canisters. each canister will get the same amount of sugar. How much sugar will be in each canister?
Answer:
3/5 or .6 grams of sugar
Step-by-step explanation:
You would just do 3/5 and get .6 Hope this helps :)
Answer:
Step-by-step explanation:
0.6 pounds
What angle would you use to represent 5 blue cars out of 20 cars in total on a pie chart?
Answer:
check online for more information
I need help please I’ll give you five stars!
Dan works in the sales department for sporting goods company. Dan gets a 15% commission on every bike he sells. If Dan sold 227 bikes at $70 each, how much money did Dan make?
In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?
Answer:
x would be equal to 70 grades
Step-by-step explanation:
The angle QRS is equal to 180 - 130 = 50 grades.
We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:
60 + x + 50 = 180
x = 70
Hope this was helpful
Help please? I’ll give you 5 stars!
Answer:
no
Step-by-step explanation:
No since the divisor and dividend don't change by the same factor of 10.
what is the solution for x^0.5logx=0.01x^2 ?
Answer:
x1= 100 x2=99.999
Step-by-step explanation:
[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]
[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]
u=log(x)
[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]
[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]
[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]
Find 66.9% of 160.6. Round to the nearest thousandth.
Answer:
160 is the answer I just toke the quiz
Pieter owns a currency conversion shop. Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed 3/10 of the 20 160 rand into euros. He changed the rest of the rands into dollars, rupees and francs in the ratios 9:5:2 Pieter changed more rands into dollars than he changed into francs. Work out how many more.
Answer:
6,174
Step-by-step explanation:
in total we have 20,160 rand.
3/10 of that is = 6048.
6048 rand is euros.
we now have a remaining 14,112 rand.
the rest of the rands is split up into 9:5:2
to find out how much one part equals we add 9, 5 and 2 together.
9 + 5 + 2 = 16.
We then divide the remaining 14,112 rand by 16 to find out one part.
14,112 / 16 = 882.
1 part = 882.
(dollars) 9 parts = 882 x 9 = 7,938 rand
(rupees) 5 parts = 882 x 5 = 4,410 rand
(francs) 2 parts = 882 x 2 = 1,764 rand
to find out how many more rands pieter changed into dollars than he changed into francs we need to minus 1,764 from 7,938.
7, 938 - 1,764 = 6,174
Pieter changed 6,174 more rands into dollars than francs.
Hope this helped :)
Haley is the head nurse at a hospital and must order supplies. If 1 4 of a package of bandages lasts 1 8 of the month, how many packages of bandages are needed for the entire month?
Answer:
2 Packages
Step-by-step explanation:
To last the whole month, we would need to multiply 1/4 by 8.
1 *8 = 8
4 * 1 = 4
8/4 = 2
Find the equation of this line.
Harry spends $7.83 on 3 bags of walnuts. The bags all cost the same amount. What is the cost of each bag?
Answer:
i think the cost of each bag is $2.61
Step-by-step explanation:
suppose the cost of each bag is $x
7.83 = 3x
7.83/3 = x
2.61 = x
so the cost of each bag is $2.61
Why were people concerned with the East India Tea's Company monopoly over the
tea industry?
Answer:
You accedently put Mathematics I think you meant Social Studies haha
Step-by-step explanation:
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark ( 1 ) as the fraction bar if necessary.
10
(-4,8).
(-6,-4)
Answer here
Answer:
slope = 6
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (-6, - 4) and (x₂, y₂ ) = (- 4, 8) ← 2 points on the line
m = [tex]\frac{8-(-4)}{-4-(-6)}[/tex] = [tex]\frac{8+4}{-4+6}[/tex] = [tex]\frac{12}{2}[/tex] = 6
The slope of the line given in the task content is; m = 6.
What is the slope of the line?The slope of the line is the rate of change of the dependent variable with respect to the independent variable.
On this note, the slope of the equation is;
Slope, m = (-4-8)/(-6-(-4))
m = -12/-2
m = 6.
Read more on slope;
https://brainly.com/question/3493733
#SPJ5
write 9^3 x 27^2 as a single power of 3
Answer:
3^12
Step-by-step explanation:
9³=(3²)³=3^6
27²=(3³)²=3^6
So together, it is 3^12
Answer:
3^12
Step-by-step explanation:
9^3 x 27^2
Rewrite 9 as 3^2 and 27 as 3^3
3^2^3 * 3^3^2
We know that a^b^c = a^(b*c)
3^(2*3) * 3^(3*2)
3^6 * 3^6
We know that a^b * a^c = a^(b+c)
3^(6+6)
3^12
solve the equation (x-4) (x+9) = 0
Answer:
x = 4,-9
Step-by-step explanation:
This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.
First, separate two equations. Let r be the roots of equation, therefore:
[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]
I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.
[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]
Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.
The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.
___________________
Let me know in the comment if you have any questions.
Please answer with an explanation
Answer:
-2(1-2p)
Step-by-step explanation:
-7-4p-(-5)
-(-5)=5
=-7-4p+5
=5-7-4p
=-2-4p
=-2(1-2p)
how to find r in a geometric sequence calculator
Step-by-step explanation:
We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.
y=
4
5
x+1
y=
–
3
5
x–6
Answer:
Step-by-step explanation:
Answer:
So, yea i cant get you an exact answer but... i can tell you howto solve it.
Step-by-step explanation:
IN this case you would need to rewrite it so it is on the left side!
Bye friend! :)
you have also wasted your time by going down heere so, YOUR FAULT
Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109
While Jayden was at school, his house lost electrical power. By
the time the electrical power came back on the temperature inside the
house was 86°F. The air conditioner immediately started to cool the
house.Let f(x) represent the temperature, in degrees Fahrenheit, of
Jayden's house x minutes after the air conditioner started to cool the
house.What is the meaning of the statement f(25)=78?
Answer:
after 25 minutes the temperature was at 78 degrees
Step-by-step explanation:
HELP please guys ................
Answer:
2nd choice
Step-by-step explanation:
There is 46% hard working Elfs in the North Pole. there is 300 elfs in north pole. How many elfs are hard working
Answer:
138 hard working elfs
Step-by-step explanation:
the 46% of 300 is 138
Answer:
There is 138 Hard working Elves at the North Pole.
Step-by-step explanation:
300× 0.46= 138
What is the volume of a cone with the height of 6 inches and the diameter of 4 inches?
A) 25.20in3
B) 25.12in3
C) 26in3
D) 25in3
Will get brainliest
lowest common factor of 6 and 12
Answer:
36
Step-by-step explanation:
It's so obvious lollllll
Answer:
36
Step-by-step explanation:
it's all i the picture help!! i don't remember how to solve it
Pls help right answer gets brainliest
Answer:
x=3/2
Step-by-step explanation:
.D .I
9x 7x+3
.C .E .H .J
7x+3=9x
-7x -7x
-------------
3=2x
-- --
2 2
x=3/2
Check
9(3/2)=13.5
7(3/2)+3=13.5