Solution :
Let x be student will be left handed
P = 0.09
Using the normal approximation to binomial distribution,
a). n = 108,
μ = np = 9.72
[tex]$\sigma = \sqrt{np(1-p)}$[/tex]
[tex]$=\sqrt{8.8452}$[/tex]
= 2.9741
Required probability,
P(x=8) = P(7.5 < x < 8.5)
[tex]$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$[/tex]
[tex]$=P(-0.75 < z < -0.41)$[/tex]
Using z table,
= P(z<-0.41)-P(z<-0.75)
= 0.3409-0.2266
= 0.1143
b). P(x=12) = P(11.5 < x < 12.5)
[tex]$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$[/tex]
[tex]$=P(0.60 < z < 0.94)$[/tex]
Using z table,
= P(z< 0.94)-P(z< 0.60)
= 0.8294 - 0.7257
= 0.1006
Tristan spent 35% of his allowance on candy each week. If his weekly allowance is $10, How much is he spending on candy? Tristan spends on candy each week.
Answer:
he is spending 3.50 each week
ANSWER PLZZZ I NEED HELP QUICK
Answer:
wheres the circle graph
Step-by-step explanation:
d = 4.4 mm.
Calculate the area of the circle
Answer:
15.1976 mm²
Step-by-step explanation:
A = πr²
A = 3.14 · 2.2²
A = 15.1976
The Williams family purchased 15 cheeseburgers for 75$ how did one cheeseburger cost?
Answer:
O.5 cents each
Step-by-step explanation
You have to multiply 75 by 0.15
6)
Which polynomial is in standard form?
A)
3m3 + 2m? - m + 2
B)
8m3 + 6m2 + 2 - m
C)
-m” + 2m - m
– m2 + 1
D)
mº + 6m3 - 3m4 - 8
Answer:
D is the answer of this question
Question 9 of 10
Which best describes how to find the length of an arc in a circle?
A. Divide the arc's degree measure by 360°, then multiply by the
circumference of the circle,
B. Divide the arc's degree measure by 360°, then multiply by the
radius of the circle.
C. Divide the arc's degree measure by 180°, then multiply by the
radius of the circle.
D. Divide the arc's degree measure by 180°, then multiply by the
circumference of the circle.
To find the length of an arc in a circle we use (a) Divide the arc's degree measure by 360°, then multiply by the circumference of the circle,
Which best describes how to find the length of an arc in a circle?From the question, we have the following parameters that can be used in our computation:
The length of an arc in a circle
The length of an arc in a circle is calculated as
Length = Angle/360 * Circumference
This is representd by the option (a)
Read more about arc length at
https://brainly.com/question/16552139
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Round 51354 to the nearest thousand.
Answer:
51000.
Step-by-step explanation:
The thousand digit is 1 and the hundreds digit is 3. As the latter is < 5 we dont round up the 1.
Answer:
51000
Step-by-step explanation:
volume of a cube with side length of 5.2 cm.
Answer:
140.608
Step-by-step explanation:
A cone has a base radius of 3 cm and a slant height of 5 cm.
Find h, the perpendicular height of the cone.
Answer:
h=4
Step-by-step explanation:
5²-3²=h²
h²=16
h=4cm
Answer:
I=4 (Slant height)
R=3 (Radius)
H=5 (slant height)
Step-by-step explanation:
Imagine inclination, peprendicular height and radius as a triangle, so this will have a 90 degrees angle and Pythagor theorem will imply to the calculations, as :
[tex]a^{2}+b^{2}= c^{2}\\[/tex]
where Height is A , Radius is B, and Inclination is C we have:
[tex]3^{2} +I^{2} = 5^{2}[/tex]
from above we have:
[tex]I^{2} =25-9[/tex]
and
[tex]\sqrt{I}=\sqrt{16} =4[/tex]
What is the value of n so the
expression 3(6+x) is equivalent
to 3(x+n)?
is not the same because you can not add number to alphabet but you can multiple number to alphabet..
HELP ME PLEASEEEEEEEEEEEE
Answer:
1080 in^2
Step-by-step explanation:
Answer:
180 in^2
Step-by-step explanation:
A 12" wide by 30" flag has the area A = (1/2)(base)(height) square inches, or 180 square inches.
please help! will report if it’s a link, I don’t fall for those
Answer:
The answer is 14[tex]\pi[/tex] mm.
Step-by-step explanation:
Answer:
C=2x3.14xR
Step-by-step ex:
C=2x3.14x7
2x7=14
Sooo 14(3.14)mm
URGENT NEED HELP FAST LINKS WILL BE REPORTED
Answer:
Model B
Step-by-step explanation:
First, solve what each model means:
Model A:
6 boxes, 2 shaded
2/6=1/3
1/3 is approximately 33.35
Model B:
8 boxes, 3 shaded
3/8 is 37.5%
this is the answer, but we can go ahead and check the other boxes
Model C:
5 boxes, 2 shaded
2/5 is 40%
Model D:
7 boxes, 3 shaded
3/7 is approximately 42.9%
Lmk if you have more questions!
How do I get the answer to 45.27 x 62.3?
Answer:
2820.321
Here’s how the multiplication works:
Perform the multiplication just as you would for whole numbers.
When you’re done, count the number of digits to the right of the decimal point in each factor and add the results.
Place the decimal point in your answer so that your answer has the same number of digits after the decimal point.
Step-by-step explanation:
Mark me brainliest!
What’s equivalent to 3/2
Answer:
Some fractions equivalent to 3/2 are...
6/4 9/6 12/8 15/10 18/12 21/14 24/16
27/18 30/20 33/22 36/24
Answer:
6/4 or 9/6
Step-by-step explanation:
Find the value of X.
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
Angles AFB and CFE are vertical angles, so have the same measure. That means arc AB has the same measure of arc CE. The latter arc is 27° more than arc DE, which is 90°. So, we have ...
arc AB = arc CE
21x -9 = 90 +27
21x = 126 . . . . . . add 9, collect terms
x = 6 . . . . . . . divide by 21
please help find the gradient :)
Answer:
gradient m = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = - x - 3 ← is in slope- intercept form
with gradient m = - 1
Answer:
[tex]\rm Slope = -1[/tex]
Step-by-step explanation:
Given :-
A equation of line .[tex]\rm y = -x-3[/tex]And we need to find out the gradient of the line. The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,
Slope intercept form :-
[tex]\rm\implies y = mx + c [/tex]
Where m is the slope of the line and c is y intercept .On comparing it to slope Intercept Form , we have ,[tex]\implies \rm Slope (m) = (-1)[/tex]
Hence the gradient of the line is (-1) .
PLEASE help fast with attached question!! Thanks!
Answer: I thihnk it's 1x10^-2
Step-by-step explanation: This equals 0.1, and 6^-2 is equal to 0.1....the rest of the answers are either too big or too small
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in
your answer.
00
alyd
yd
yde
yoo
3yd
х
3
?
2yd
4yd
2yd
50 POINTS!!!!
The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. Area of the larger triangle = 145 ft
Answer:
72.2
Step-by-step explanation:
What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
C. 78 cubic meters
D. 62 cubic meters
Answer:78
Step-by-step explanation:
Did it
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,...
Answer:
It is an arithmetic sequence and the common difference is 5
Step-by-step explanation:
4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)
The circumference of a circle is 87 cm. What is the DIAMETER of the circle?
A)
2 cm
B)
4 cm
C)
6 cm
D)
8 cm
Answer:8 cm
Step-by-step explanation:
Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?
The function f(x) = 2 and g(x) = f(x + k). Ifk = -5, what can be concluded about the graph of
g(x)?
The graph of g(x) is shifted vertically
Select a Value
The graph of g(x) is shifted horizontally
Answer:
the graph is not shifted vertically from the graph of f(x)
the graph is not shifted horizontally from the graph of f(x)
Step-by-step explanation:
19
Adam, Linda and Rytis share an amount of money,
Linda gets three times as much money as Rytis gets.
Linda gets half as much money as Adam gets.
What fraction of the amount of money does Linda gek?
Answer:
3/10
Step-by-step explanation:
From the question :
Let amount rytis get = x
Hence, amount Linda gets = 3x
Hence, amount Adam gets = 2 times what Linda gets = 2(3x) = 6x
Hence, total amount shared :
x + 3x + 6x = 10x
Amount Linda got = 3x
Therefore, fraction Linda gets = Amount gotten by Linda / total amount = 3x / 10x = 3/10
Hence, fraction gotten by Linda = 3/10
The fraction of the amount of money does Linda gets is 3/10 and this can be determined by using the arithmetic operations.
Given :
Adam, Linda, and Rytis share an amount of money, Linda gets three times as much money as Rytis gets. Linda gets half as much money as Adam gets.The following steps can be used in order to determine the fraction of the amount of money does Linda get:
Step 1 - Let the total amount of money Rytis get be 'x'.
Step 2 - So according to the given data, the total money Linda has is 3x.
Step 3 - According to the given data, the total money Adam has is 2(3x).
Step 4 - So, the total amount of money shared is:
x + 3x + 6x = 10x
Step 5 - So, the fraction of the amount of money does Linda get is:
[tex]\rm =\dfrac{3x}{10x}[/tex]
[tex]= \dfrac{3}{10}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/25834626
Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in for time off, so the center will be staffed by 178 call center employees. When working continuously, the average call center employee can handle 22 calls per evening shift (with a standard deviation of 5 calls). Assuming the center receives its expected 4000 calls next Friday, what is the probability that the center will have enough employees to handle this call volume
Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
In the figure, lines ℓ and m are parallel. Describe ∠1 and ∠2.
∠1 and ∠2 are equal angles as the lie on same side of transversal, are on parallel lines and are corresponding to each other
thank you
Plz help me well mark brainliest if correct!.,
Answer: The perimeter is 20 cm
Step-by-step explanation: The top and bottom are same length, so 6+6, and the sides are the same length, so 4+4 don’t forget it’s cm and it becomes 20 cm.
PERIMITER = ADDING ALL SIDES
AREA = MULTIPLYING
You can paint a room in 8 hours. Working together, you and a friend could paint the same room in just 5 hours. How long would it take your friend to paint the room alone.
Answer:
friend alone could do it in 13 hours and 1/3
Step-by-step explanation:
Your rate = room/8
friends rate = room/x
combined rate = room/8 + room/x
= room(x+8)/(8x)
then
5 = room / [room(x+8)/(8x)]
5 = 8x/(x+8)
8x = 5x + 40
3x = 40
x = 40/3 = 13 1/3
friend alone could do it in 13 hours and 1/3