The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
What is the probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.
Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,
[tex]P=\dfrac{7.2}{100}\\P=0.072[/tex]
The probability of population to be not O-negative,
[tex]P^{-1}=1-0.072\\P^{-1}=0.928[/tex]
The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,
[tex]P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526[/tex]
Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
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12
y
8
41.81
48.199
33.69
56.31
ninate Education, Inc.
Answer:
hope this help you
Step-by-step explanation:
[tex] \cos(y) = \frac{b}{h} \\ \cos(y) = \frac{8}{12} \\ y = \cos {}^{ - 1} ( { 0.6666}^{ } ) \\ y = 48.19[/tex]
help me please, will mark brainliest!
Step-by-step explanation:
remember (always remember) : a probability is desired cases divided by total possible cases.
what is our total here ?
1388 students at this school
what are our desired cases here ?
every student, who bikes to the school : 207
so, the probability that a randomly picked student is biking to the school is
207/1388 = 0.149135447...
so, b. is the right answer.
please let me know what is not clear to you.
we solved now many probability questions together, but this is very, VERY basic, and you could not do it.
so, what is not "clicking" with you ? what do you need explained ?
Will mark brainlist to whoever answers first!
Full explanation please
Answer:
D
Step-by-step explanation:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor,
J-(2,2)
A-(4,4)
--
G-(-2,-2)
C-(-4,-4)
--
H-(4,4)
B-(8,8)
For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?
For the point (9, 12), find csc θ and sec θ.
A. csc θ = 5/4, sec θ = 5/3
B. csc θ = 5/4, sec θ = 4/5
C. csc θ = 3/5, sec θ = 4/5
D. csc θ = 3/4, sec θ = 3/5
The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a standard-position angle determined by the point (x, y).
The point is (9, 12)
From the Pythagoras theorem, we can find the hypotenuse(h):
h = √(9²+12²)
h = 15
cscθ = hypotenuse/opposite = 15/12 = 5/4
secθ = hypotenuse/adjacent = 15/9 = 5/3
Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
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• Packaging of a product can cost a lot of money. Can you design
the cheapest package?
• Your task is to decide on the most cost effective and efficient
way to pack 12 golf balls. The radius of each golf ball is 1,8 cm.
All 12 golf balls fit side by side and you must design a box that
will hold the 12 golf balls with the minimum amount of wasted
card. The cost of cardboard is going to 0,01€ per cm squared.
The best arrangement can be
3 rows and 4balls each rowSo
Length of one row=1.8(4)=7.2cmWidth=1.8(3)=5.4cmHeight=1.8(2)=3.6cmSo
TSA
2(LB+BH+LH)2(5.4(7.2)+(7.2)(3.6)+3.6(5.4))2(84.24)168.48cm²Total cost
168.48(0.01)1.685€Identify the axis of symmetry, vertex, and y intercept of y=-6x^2+12x-8
Answer:
See below for answers and explanations (with attached graph)
Step-by-step explanation:
It helps to transform the equation into vertex form by completing the square because it tells us a lot about the characteristics of the parabola:
[tex]\displaystyle y=-6x^2+12x-8\\\\y=-6\biggr(x^2-2x+\frac{4}{3}\biggr)\\\\y-6\biggr(-\frac{1}{3}\biggr) =-6\biggr(x^2-2x+\frac{4}{3}-\frac{1}{3}\biggr)\\\\y+2=-6(x^2-2x+1)\\\\y+2=-6(x-1)^2\\\\y=-6(x-1)^2-2[/tex]
Since vertex form is [tex]y=a(x-h)^2+k[/tex], we identify the vertex to be [tex](h,k)\rightarrow(1,-2)[/tex] and the axis of symmetry to be [tex]x=h\rightarrow x=1[/tex]. The y-intercept can be found by setting [tex]x=0[/tex] and evaluating:
[tex]y=-6(x-1)^2-2\\\\y=-6(0-1)^2-2\\\\y=-6(-1)^2-2\\\\y=-6(1)-2\\\\y=-6-2\\\\y=-8[/tex]
Hence, the y-intercept of the parabola is [tex]y=-8[/tex], or [tex](0,-8)[/tex] as an ordered pair.
46a+5/3=24/5-a
First answer get to be brainliest!
Answer:
1/15 or 0.0666.. repeating
Step-by-step explanation:
1. Group all a terms on the left side of the equation
Add a to both sides
[tex]46a+\frac{5}{3}+a=\frac{24}{5}-a+a[/tex]
Group like terms:
[tex]46a+a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]
Simplify the arithmetic:
[tex]47a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]
Group like terms:
[tex]47a+\frac{5}{3}=-a+a+\frac{24}{5}[/tex]
Simplify the arithmetic:
[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]
2. Group all constants on the right side of the equation
[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]
Subtract [tex]\frac{5}{3}[/tex] from both sides:
[tex]47a+\frac{5}{3}-\frac{5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]
Combine the fractions:
[tex]47a+\frac{5-5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]
Combine the numerators:
[tex]47a+\frac{0}{3}=\frac{24}{5}-\frac{5}{3}[/tex]
Reduce the zero numerator:
[tex]47a+0=\frac{24}{5}-\frac{5}{3}[/tex]
Simplify the arithmetic:
[tex]47a=\frac{24}{5}-\frac{5}{3}[/tex]
Find the lowest common denominator:
[tex]47a=\frac{24\cdot 3}{5\cdot 3}+\frac{-5\cdot 5}{3\cdot 5}[/tex]
Multiply the denominators:
[tex]47a=\frac{24\cdot 3}{15}+\frac{-5\cdot 5}{15}[/tex]
Multiply the numerators:
[tex]47a=\frac{72}{15}+\frac{-25}{15}[/tex]
Combine the fractions:
[tex]47a=\frac{72-25}{15}[/tex]
Combine the numerators:
[tex]47a=\frac{47}{15}[/tex]
3. Isolate the a
[tex]47a=\frac{47}{15}[/tex]
Divide both sides by 47:
[tex]\frac{47a}{47}=\frac{\frac{47}{15}}{47}[/tex]
Simplify the division:
[tex]a=\frac{47}{15\cdot 47}[/tex]
Simplify the right side:
[tex]a=\frac{1}{15}[/tex]
hope this helps:)
Answer:
0.06 or 1/15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What is -2/8 simplified?
Answer:
[tex]\huge\boxed{\sf -\frac{1}{4} }[/tex]
Step-by-step explanation:
Given Fraction:
[tex]\displaystyle =-\frac{2}{8}[/tex]
Divide both numerator and denominator by 2 to simplify.
[tex]\displaystyle =-\frac{2 \div 2}{8\div 2} \\\\= -\frac{1}{4} \\\\\rule[225]{225}{2}[/tex]
7-12 find the limit.
8. [tex]\lim _{t \rightarrow \infty} \frac{t^{3}-t+2}{(2 t-1)\left(t^{2}+t+1\right)}[/tex]
Divide through the limand by the highest power of t :
[tex]\displaystyle \lim_{t\to\infty} \frac{t^3-t+2}{(2t-1)(t^2+t+1)} = \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)}[/tex]
(I distributed 1/t³ in the denominator as 1/t (2t - 1) and 1/t² (t² + t + 1).)
As to goes to infinity, these 1/tⁿ terms will converge to 0, and you're left with
[tex]\displaystyle \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)} = \frac{1 - 0 + 0}{(2-0)(1+0+0)} = \boxed{\frac12}[/tex]
Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.
Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.
What are the dimensions of the painting on the new scale drawing?
The percentage of the rectangle that will be beige is 15.5 percent
What is a rectangle?
A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The width of the "H" is 1/2 the distance form the top to the bottom of the "H" is 1/2
1/2 + 1/2 =
the side length of the "H" is 4
4 x 1/2 = 2
The demensions of the other 1/2 by 4 are the same, therefore,
2 + 2 = 4
The middle section is 1 by 1/2
1 x 1/2 = 1/2
The equation is 2 + 1/2 = 2 1/2
and converted to decimal form it is 4.5
The rectangle is 4 by 5
So 4 x 5 = 20
20 - 4.5 = 15.5 percent
Hence the percentage of the rectangle that will be beige is 15.5 percent.
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Simplify: √45 – 3√20 + 4√5
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
simplifying
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{45}[/tex] - 3[tex]\sqrt{20}[/tex] + 4[tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex] - 3(2[tex]\sqrt{5}[/tex] ) + 4[tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex] - 6[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
= [tex]\sqrt{5}[/tex]
In a batch of 390 water purifiers, 12 were found to be defective l. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
Answer:
3.08 percent
Step-by-step explanation:
if you do proportions, then it would go like this:
12/390 = x/100
(cross multiply)
390x = 1200
(divide both sides by 390 to get x by itself)
x = 3.07692307692
round and its about 3.08 percent
sorry if its wrong im only in 6th grade
Which is a regular hexagon?
A.
B.
C.
D.
A regular hexagon consists of 3 main characteristics:
It is a closed shape.Six equal sidesSix equal anglesAnswer: Here u go
Step-by-step explanation:
Group the terms with variables on one side of the equal sign and simplify.
19p = 10p + 54
9p = 54
9p = −54
29p = 54
29p = −54
Answer:
9p = 54
Step-by-step explanation:
19p = 10p + 54
Subtract 10p on both sides,
19p - 10p = 54
9p = 54
Step-by-step explanation:
my dear this is very very simple
you can definitely solve it by yourself.
just take "like terms" pit them at one side make (if a negative sign crosses to the other side of the "equal to sign" (=) it changes to positive and vice versa.
19p = 10p + 54
so grouping like terms:
10p will come and meet 19p (but it will carry the positive sign because it has crossed the '=' sign
so we have,
19p -10p = 54
since 19p and -10p are like terms so we can subtract (imagine 19 apples - 10 apples)
so we get:
9p = 54 ( 9 apples = 54)
option (A)
Hope this helps.
Ace that assignment.
Good luck ✅.
you're super free to ask any further questions okay.
Using trig to find a side
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 117.8
Step-by-step explanation:
The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.
Taking the tan value of the listed angle :
tan 50° = x/99
1.19 = x/99
x = 1.19 × 99
x = 117.8 (nearest tenth)
What is the monthly payment on a 48-month loan for $28,000 with 2% interest?
Amortization formula:
$585
$608
$618
$625
A store owner must decide whether to continue stocking a particular brand of jeans in the upcoming year. The graph shows the unit sales of this item in the years since the store started stocking it.
The data is best modeled by a
Square Root, Quadratic, Linear
Based on the graph, the store owner
should
Should Not
The data is best modeled by a Quadratic function, and based on the graph, the store owner should continue stocking the product.
How do we know that the graph models a quadratic function?Because it decreases in value until the minimum value, then it increases again.
After that, the graph will continue to increase, that is, it will have no more turning points as it is a quadratic function, hence the store owner should continue storing the product.
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The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year. The values will be graphed on the given coordinate plane. Which is the most appropriate choice of origin and scale for this graph?
The option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
As we can see in the table, data is given, we can plot it in the graph by using the scale factor.
On the x-axis, scale: 1 unit = 1 week
On the y-axis, scale: 1 unit = 150 minutes
On the y-axis, 2 units = 300 minutes
On the y-axis, 3 units = 450 minutes
Thus, the option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.
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28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into cach
bottle?
A. 8/12
*
B. 2 2/8
C. 8/26
D. 2 4/8
Answer:
b
Step-by-step explanation:
to find the answer to this you sould divide the amount of pints by the number of bottles
18/8
which is also 2 2/8
so the answer is b
what is 2.75% of 210,547
Answer:
5,790.0425
Step-by-step explanation:
How far will a cyclist riding at 25 miles per
hour travel in 3.5 hours?
Answer:
[tex]87.5\ miles[/tex]
Step-by-step explanation:
Step 1: Determine how far
Rate of speed * total hours
[tex]\frac{25\ miles}{hour}*3.5\ hours[/tex]
[tex]87.5\ miles[/tex]
Answer: [tex]87.5\ miles[/tex]
A linear pair must add up to 180 degrees is true or false?
Answer:
true
Step-by-step explanation:
A random sample of college football players had an average height of 66.35 inches. Based on this sample, (65.6, 67.1) found to be a 90% confidence interval for the population mean height of college football players. Choose the correct answer to interpret this interval. i. We are 90% confident that the population mean height of college football players is between 65.6 and 67.1 inches. ii. There is a 90% chance that the population mean height of college football players is between 65.6 and 67.1 inches. iii. We are 90% confident that the population mean height of college football palyers is 66.35 inches. iv. A 90% of college football players have height between 65.6 and 67.1 inches.
Answer:
We are 90% confident that the population mean height of college football players is between 65.6 and 67.1 inches.
Step-by-step explanation:
90% Confidence interval means that out of 100 different samples, for example, 90 out of 100 confidence intervals with include the true mean value (average height).
An ice cream shop will allow you to build your own sundae. You must choose from vanilla, chocolate, or strawberry ice cream. You must choose with or without bananas, with or without nuts, and must pick between chocolate and caramel syrup. How many sundaes can you build?
Answer: 24
Step-by-step explanation: 3*2*2*2=24
You can build 24 sundaes
Natalie is hiking up a mountain while Simone is hiking down. When Natalie begins to ascend, Simone begins to descend at the same time. The graph shows Natalie’s elevation in feet over time in minutes. The table shows Simone’s elevation at different times. Who is hiking at a faster rate? Show your work.
To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.
How to find out who is faster?Calculate how fast each hiker moves or the rate for each hiker.Compare the rates.How to calculate the rate?The rate is equal to distance divided by time. For example,
Natalie travels 100 meters in 5 minutes:100/ 5 = 25 meters per minute.Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.
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When Tariq goes bowling, his scores are normally distributed with a mean of 110 and a standard deviation of 10. Using the empirical rule, what percentage of the games that Tariq bowls does he score between 80 and 140
Using the Empirical Rule, it is found that Tariq scores between 80 and 140 in 99.7% of the games that he bowls.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering the mean of 110 and the standard deviation of 10, scores between 80 and 140 are within 3 standard deviations of the mean, hence Tariq scores between 80 and 140 in 99.7% of the games that he bowls.
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plx help me plx ? can u tell me the answer of this algebra equation 2(x+3)+3(×-4)
Step-by-step explanation:
[tex] = 2(x + 3) + 3(x - 4)[/tex]
[tex] = 2x + 6 + 3x - 12[/tex]
[tex] = 2x + 3x + 6 - 12[/tex]
[tex] = 5x - 6[/tex]
...
Find the surface area of the prism.
Answer:
252m^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(12 x 6) + 2(12 x 3) + 2(6 x 3)
= 2(72) + 2(36) + 2(18) then simplify
= 144 + 72 + 36
= 252
If the positive difference between 3.2 and 1.09 is multiplied by 0.47, the result is:
Answer:
0,9917
Step-by-step explanation:
3.2 - 1.09 = 2.11
2.11 multiplied by 0.47 = 0.9917
A line segment has endpoints of (-2,6) and
(-4,-9). What is the midpoint of the line
segment?
Answer:
(-3, -1.5)
Step-by-step explanation:
Given:
Endpoint₁: (-2, 6)Endpoint₂: (-4, -9)[tex]\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}[/tex]
Substitute the endpoints of the line segment in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text][/tex]
Simplify the coordinates in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text][/tex]
Thus, the coordinate of the midpoint is (-3, -1.5)