Answer:
[tex]Mean = 0.36[/tex]
[tex]SD = 0.5817[/tex]
[tex]P(x=3) = 0.003588[/tex]
Step-by-step explanation:
Given
Let
A = Event of being a universal donor.
So:
[tex]P(A) = 0.06[/tex]
[tex]n = 6[/tex]
Solving (a): Mean and Standard deviation.
The mean is:
[tex]Mean = np[/tex]
[tex]Mean = 6 * 0.06[/tex]
[tex]Mean = 0.36[/tex]
The standard deviation is:
[tex]SD = \sqrt{np(1-p)}[/tex]
[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]
[tex]SD = \sqrt{0.3384}[/tex]
[tex]SD = 0.5817[/tex]
Solving (b): P(x = 3)
The event is a binomial event an dthe probability is calculated as:
[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]
So, we have:
[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]
[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]
[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]
[tex]P(x=3) = 0.003588[/tex]
For the right triangle shown, whih equation can be used to find the vaule of x
Answer:
The answer is b
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
pls help ! tysm!!!!!!!!!!
Answer:
332
Step-by-step explanation:
332
Fifteen 7th graders were asked how many hours they spend doing homework each week and how many hours they spend watching television each week. the results are shown in the dot plots below
Answer:
A.
18 > 14, trueB.
12 - 16 = -4, trueC.
Mean:
Homework = (4 + 6*2+10*3+12*2+14*4+16*2+18)/15 = 11.73Television = (0 + 10*3+12*1+16*3+18*4+20*3)/15 = 14.8The difference:
14.8 - 11.73 > 1, NOT trueD.
TrueMartin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3,4,1, -2,-8,7
Approximately what was the average low temperature for the week?
Answer:
-8
Step-by-step explanation:
-7+-3+4+1+-2+-8+7=-8divided by7=-1
answer but no links. quickly please
Answer:
1. 18
2.3 and 3/4
3.6 and 1/4
Step-by-step explanation:
3 by 6 equals 18 since 12 divided by 2 is 6
15 divided upon 4 is 3.75 or 3 3/4
50 divided by 8 equals 6.25 or 6 1/4
what is the mean price of $29 $58 $15 $129 $75 $22
Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?
Answer:
Each piece of cloth is (1/12) of a yard long.
Step-by-step explanation:
Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.
To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.
This is:
length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]
This means that the length of each piece of cloth is (1/12) of a yard long.
Answer:
1/12 trust,
because yes. >3
2022 / 2023
Find the unit rate.if 5 pounds of potatoes cost $8.60, how much does one pound of potatoes cost.
Answer:
1.72
Step-by-step explanation:
8.60= 5 Pounds
So you divide by 5
8.60/5
1.75
If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36
18
9
64
Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = [tex]\frac{-36z}{x}[/tex] ← equation of variation
When x = 5 and z = - 5, then
y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36
Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?
Answer:
$262.5
Step-by-step explanation:
Given data
Commission earned= 7.5%
Sales for last week= $3,500
Let us find the amount of the commission
=7.5/100* 3500
=0.075*3500
=$262.5
Hence the commission earned last week is
$262.5
How long is a string reaching from the top of a 13-ft pole to a point on the 3 points ground that is 7 ft from the base of the pole?
Answer:
14.76 ft
Step-by-step explanation:
L²= 13² + 7²
L² = 169 + 49 = 218
L = √218 = 14.76 ft
Answer:
14.8
Step-by-step explanation:
We use the Pythagoras theorem because the string and the pole are making a right angle triangle
7^2+13^2=c^2
49+169=c^2
218=c^2
14.8=c
A butcher shop is selling steaks 2 for $7.00. The butcher sells 29 steaks today. How much money did the butcher make selling steaks today?
Answer:
The butcher made $101.50
Step-by-step explanation:
2 for 7.00
1 steak would be 7.00 divided by 2
7 divided by 2 is 3.5
1 steak is 3.50 dollars
29 steaks in total
29 multiplied by 3.50 is 101.5
Guided Practice
Write an equation of the direct variation that includes the point (–8, 10).
A.
y= −4/5x
B.
y= 5/4x
C.
y= −5/4x
Answer:
C.
y= −5/4x
Step-by-step explanation:
Write an equation of the direct variation that includes the given point. (-8, 10)
1
first divide y by x to find the constant
2
Then write the equation using that constant. The constant can be written as a fraction or a decimal.
RESULT
Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use.
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.
[tex]Scale = Length : Width[/tex]
For the painting,
[tex]Scale = 20: 16[/tex]
For the frame,
[tex]Scale = 15: w[/tex]
Since she wants to maintain the same ratio; both scale must be the same.
i.e.
[tex]15 : w = 20 : 16[/tex]
Express as fraction
[tex]\frac{w}{15} = \frac{16}{20}[/tex]
[tex]\frac{w}{15} = 0.8[/tex]
Make w the subject
[tex]w = 15 * 0.8[/tex]
[tex]w = 12[/tex]
The width of the frame must be 12 inches i.e. 15in by 12in frame
Please Help! ~ Math ~ You will get +10 points! ~ Multiple Chouce ~ 1 Problem!
In a basketball game, Sarah scored 4 points more than twice the number of points Jamie scored. Jamie scored 3 ponts. How many points did Sarah score?
A. 1 Point
B. 7 Points
C. 10 Points
D. 12 Points-
Answer:
10
Step-by-step explanation:
If Jamie scored 3, and sarah scored twice that much, multiple 3 by two
3x2=6
Sarah also scored 4 more points then twice of his points.
6+4=10
Your answer is ten points
Matt's savings account earns 2% interest each year. He had $200.00 in his savings account
at the beginning of the first year. If he did not deposit or withdraw any money, what is the
value of Matt's savings account at the end of the second year?
Answer:
208.08
Step-by-step explanation:
math
Answer:
204
Step-by-step explanation:
2% of 200 is 2 so after second year it will be 200,+2+2 that is 204
Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid
Complete question :
Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid between 15500 and 17000
Answer:
49.85%
Step-by-step explanation:
Mean = 17000
Standard deviation = 500
Obtain the Z score, which is the number of standard deviations from the mean :
((17000 - 17000) / 500) = 0
((15500 - 17000) / 500) = - 3
-3 to 3 = (3 standard deviations)
However,
The value here is (-3 to 0) ; which is only 3 standard deviations to the left.
3 standard deviation = 99.7% (empirical rule)
Since it is only (-3 to 0) ; which is only 3 standard deviations to the left. ; the percentage will be halved
99.7% / 2 = 49.85%
Hence, percentage of buyers who paid between 15500 and 17000 is 49.85%
Solve for x and round your answer to the nearest tenth.
Answer:
I believe it should be 32.9
Step-by-step explanation:
PLEASE HELP I don't understand this stuff yet. Brainliest give away!
Answer: I think the answer is B
Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.
Answer:
c bc he should use the median cause it is in the affect the mean
Step-by-step explanation:
What would the simplified equivalent of (3^-3)^2 be?
Answer:
3
-----
2
Step-by-step explanation:
Please help I have been stuck for a while now
Answer:
B. Between x 2 and x 3
Step-by-step explanation:
ANSWER NUMBER 2 PLEASE
1. The following test scores were collected from a math class: 84, 72, 78, 80, 75, 88, 43, 90, 75. Determine the outlier.
The outlier is 43.
2. Based on the data set in #1, which measure would better describe the test scores?
A. Mean
B. Median
Answer:
B: Median
Step-by-step explanation:
If there is an outlier then the median is better.
If there isn't an outlier then the mean is better.
2 / 7 - x = 5/4 what is the value of 'x'
Answer:
27/28
Step-by-step explanation:
2/7 - x =5/4
-2/7 -2/7
x=27/28
0.8 k - 20 = -60
what does ‘k’ equal?
Answer:
K = -50
Step-by-step explanation:
0.8(-50) - 20 = -60, because 0.8(-50) = -40, and when you subtract a negative you would "add" those numbers. So it would be 40 + 20 = 60, which would make it -60.
Answer:
k equals -50Step-by-step explanation:
0.8 k - 20 = -60
0.8k = -60 + 20
0.8k = -0
k = [tex]\frac{-40}{0.8}[/tex]
k = -50
please help
dgfhkcgfkgnglhgdh
Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14
A. 18.84
B. 28.26
C. 91.06
D. 113.04
Answer:
B. 28.26
Step-by-step explanation:
What is the value of x?
A. 25°
B. 50°
C. 55°
D. 75°
E. 80°
Answer:
Option Bx = 50°Step-by-step explanation:
By the condition,
25° + 105° + x = 180° [Angle sum property of triangle]
=> 130 + x = 180
=> x = 180 - 130
=> x = 50° (Ans)
Three students, Brayden, Adrian, and Aubrey, line up one behind the other. How many different ways can they stand in line?
Write an equation in standard form for the line that passes through (4, 4) and has a x-intercept of 3?
PLEASE HELP AS SOON AS POSSIBLE 4/19/2021
Answer:
y=4(x-3)
Step-by-step explanation:
if x=3, subtract 3 from each side to get x-3=0
point (4, 4). That is, when x=4, y=4.
Plug those in and solve for a.
y=a(x-3)
4=a(4-3)
4=a(1)
4=a
Thus,
y=4(x-3)
FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED
Answer:
Area of sector of circle = 7.6302 inches (Approx.)
Step-by-step explanation:
Given:
Angle of section = 35°
Radius of circle = 5 inch
Find:
Area of shaded section
Computation:
Area of shaded section = Area of sector of circle
Area of sector of circle = [θ/360][πr²]
Area of sector of circle = [35/360][(22/7)(5)²]
Area of sector of circle = [0.0972][(3.14)(25)]
Area of sector of circle = [0.0972][78.5]
Area of sector of circle = 7.6302 inches (Approx.)