We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
We need to perform a hypothesis test to determine if the distribution of blood types in hospital patients is the same as that of the general population.
Let's set up the null and alternative hypotheses:
Null hypothesis:
The distribution of blood types in hospital patients is the same as that of the general population.
Alternative hypothesis:
The distribution of blood types in hospital patients is different from that of the general population.
We can use a chi-squared test to test the hypothesis.
First, we need to calculate the expected frequencies for each blood type based on the general population distribution:
Expected frequency of type A = 50 x 0.22 = 11
Expected frequency of type B = 50 x 0.28 = 14
Expected frequency of type O = 50 x 0.38 = 19
Expected frequency of type AB = 50 x 0.12 = 6
Next, we can calculate the chi-squared statistic:
[tex]$\chi^2 = \frac{(11-11)^2}{11} + \frac{(9-14)^2}{14} + \frac{(24-19)^2}{19} + \frac{(6-6)^2}{6} = 2.84$[/tex]
The degrees of freedom for the test is (4 - 1) = 3.
Using a chi-squared distribution table with 3 degrees of freedom and a significance level of 0.10, the critical value is 6.251.
Since the calculated chi-squared value (2.84) is less than the critical value (6.251), we fail to reject the null hypothesis.
Thus,
We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.
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PLEASE I NEED HELP!!!!!
Answer:
-5, -8, -4, -7, 0
Step-by-step explanation:
(6,-1) slope= 2/3 in y=mx+b pls help
any value that is unknown or can change is a variable? true or false ?
Answer:
True
Step-by-step explanation:
I just know off the internet. Hope this helps lol.
suppose the population of a certain city has been doubling every 30 years and the population was 48,000 in 1900. what will the population be in 2020?
Answer:
768000
Step-by-step explanation:
From 1900 to 2020 = 120 means that it doubles 4 times ( once every 30 years)
=> 48000 * 2 ^ 4 = 768000
Graph a line with a slope of 4 that contains the point (3, 0)
[tex]\text{view explanation pls}[/tex]
Calculation ↓The first step is to write the line's equation in point-slope form
y-y1=m(x-x1)
y-0=4(x-3)
use the distributive property
y-0=4x-12
y=4x-12
Now that we have the equation of the line, we need to determine it's graph. how do we actually graph the line?Well, let's start with the y-intercept, which is -12 or (0, -12)
After plotting the point (0, -12) move up 4, over 1, up 4, over 1, up 4, over 1.
Do the same on both sides of the y-intercept.
hope helpful ~
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x=19, y=[tex]19\sqrt{3}[/tex]
Step-by-step explanation:
This triangle is a 30-60-90 triangle.
This means the hypotenuse (38) is double the short leg (x)
x=19
Then use the pythagorean theorem
a^2+b^2=c^2
19^2+y^2=38^2
361+y^2=1444
Subtract 361 from both sides
y^2=1083
put it in square roots and simplify
[tex]\sqrt{1083} =19\sqrt{3}[/tex]
y=[tex]19\sqrt{3}[/tex]
To solve this problem:
⇒ need to use a special right triangle theorem:
Let's consider the information given:
⇒ one angle is 30 degrees
⇒ one angle marked with a little square signifies that it is 90
degrees
⇒ (all the angles added up are 180 degrees) so the last angle is
60 degrees
Therefore we have a '30-60-90' triangle which states:
the side opposite the 30-degree angle⇒ half the length of the hypotenuse (longest side of the triangle)
⇒ x = 38/2 = 19
the side adjacent to the 30-degree angle⇒ is the square root of 3 divided by 2 of the hypotenuse
⇒ y = [tex]\frac{\sqrt{3} }{2} *38=19\sqrt{3}[/tex]
Therefore:
x = 19
y = [tex]19\sqrt{3}[/tex]
Hope that helps!
select the correct answer.which graph shows a line with a slope of 0?
Step-by-step explanation:
the first video man and share with you search the Internet resources to help you find the best service providers to get your free and
What is the value of x? Enter your answer in the box.
Answer: x = 4
Step-by-step explanation:
this is just easier to show work for so i hope this helps :)
25. Anthropologists use a linear model that relates human femur (thighbone) length to height. The model allows an anthropologist to determine the height of an individual when only a partial skeleton (including the femur) is found. Here we find the model by analyzing the data on femur length and height for the eight males given in the following table.
(c) An anthropologist finds a human femur of length [tex]53 \mathrm{~cm} .[/tex] How tall was the person?
The height of the person when an anthropologist finds a human femur of length will be 183.94cm.
How to calculate the height?In order to calculate the height, the expression to use will be:
h = 1.876l + 84.512
h = 1.876(53) + 84.512
h = 99.428 + 84.512
h = 183.94
Therefore, the height is 183.94cm.
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How much would you need to deposit in an account now in order to have $2000 in the account in 5 years? Assume the account earns 2% interest compounded monthly.
Answer:
$1950.74
Step-by-step explanation:
step 1
x(1 + 0.06/12)^5=2000
step 2
x= 2000/(1 + 0.06/12)^5
= 1950.741337
Answer: 500
Step-by-step explanation:
formula for interest is
I= Principle x Rate x Time
2% as a decimal is 0.02
Write the following as an inequality (-1,43)
Answer:
-1<x<43
Step-by-step explanation:
2. Given the system shown below do the following: y = 1/2x - 2 y = -3x + 5 solve this system graphically using the grid shown solve this system by substituting
Answer:
~Shoto todoroki here~
I think this would be your solved equation, -3x+5 making your X intercepts at: (5/3, 0) and your Y intercepts at: (0, 5)
The equation has Unique Solution.
What is solution of equation?The solution to a linear equation is the point at which the lines that represent the intersection of two linear equations are defined. In other words, the solution set for the system of linear equations is the set of all possible values for the variables that satisfy the given linear equation.
There are three ways to solve the set of linear equations.
Unique Solution, No Solution and Infinitely Many Solutions.
Given y = 1/2x - 2
x 0 4
y -2 0
y = -3x + 5
x 0 2
y 5 -1
the graph is attached
solving by substitution
y = 1/2x - 2
y = -3x + 5
both equations are equal for y
1/2x -2 = -3x + 5
1/2x + 3x = 5 + 2
7/2x = 7
x = 2
and at x =2 y = -1
equation intersect at (2, -1) and have unique solution.
Hence there is Unique Solution for equations.
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What is the mean for the set of data?
Rubric Test Score
xx. X. Xx. Xx. Xxx
1 2 3 4 5
Score
A function, f(x), has a domain of −10≤x≤20 and range −40≤f(x)≤−10.
f(1)=−13
f(−10)=−40
Select each statement that must be false about f(x).
f(5)= - 40
f(0)=0
f(−15)=−20
f(1)=13
f(−9)=88
Answer:
all of them are false
Step-by-step explanation:
i know
HELP SOLVE THANK YOU!
Answer:
Solution 1: 1+1[tex]\sqrt{3}[/tex]
Solution 2: 1-[tex]1\sqrt{3}[/tex]
Step-by-step explanation:
x^2-2=2x
x^2-2x-2=0
Use quadratic equation.
(-b+-[tex]\sqrt{b^2-4ac}[/tex])/2a
(2+-[tex]\sqrt{(-2)^2-4*1*-2}[/tex])/2
(2+-[tex]\sqrt{(4+8})[/tex])/2
(2+-[tex]\sqrt{12}[/tex])/2
Solution 1: (2+2[tex]\sqrt{3}[/tex])/2=1+1[tex]\sqrt{3}[/tex]
Solution 2: 1-[tex]1\sqrt{3}[/tex]
Let's first move everything, the constants and variables to one side
[tex]x^2-2=2x[/tex] ⇒ [tex]x^2-2x-2=0[/tex]
The second form is in the general form of the quadratic equation:
⇒ [tex]ax^2+bx+c = 0[/tex]
a ⇒ 1b ⇒ -2c ⇒ -2To find the value of x, we can use the quadratic formula:
⇒ look at the diagram attached
[tex]x = \frac{-b-\sqrt{b^2-4ac} }{2a} =\frac{2-\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2-\sqrt{4+8} }{2} =\frac{2-\sqrt{12} }{2} =\frac{2-2\sqrt{3}}{2} =1-\sqrt{3}[/tex]
[tex]x = \frac{-b+\sqrt{b^2-4ac} }{2a} =\frac{2+\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2+\sqrt{4+8} }{2} =\frac{2+\sqrt{12} }{2} =\frac{2+2\sqrt{3}}{2} =1+\sqrt{3}[/tex]
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Answer
To answer the question, just answer in the order I solved it, because the question asks you to put the answer in ascending order which means from least to greatest.
Hope that helps!
759 is 45% of what number?
Answer:
1686.67
Step-by-step explanation:
kathryn is x years old. if her mother is two years more than the square of kathryn's age, and the sum of their ages is 44 years. form an equation in x and solve it to find the ages of kathryn and her mother
Answer:
aaa
Step-by-step explanation:
Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Jane trained for a total of 19 hours on Wednesday and 7 hours on Thursday. How does each plan last?
Answer:
they would be about an hour
Step-by-step explanation:
Find the error: 2(3x+4)=16
Answer:
6x+8=16
or,6x=16-8
or,6x=8
or,x=4 by 3
what is 10066×140 please help me and explain the answer
Your answer would be 1,409,240
you would mutpliy 0 and 9 first and keep mutpliying until you get your answer
Answer:
The answer is 1,409,240
Step-by-step explanation:
I asume you are doing this by hand so here are the steps:
1. set up the problem- whitch would look like this
10066
x 140
Now you have to mutiply the 1s place, by all the number places of the top number
Sence you have a zero in the 1s place you can just put a x, whitch would look like:
10066
x 140
x
Now you do that for all the places
2 2 * Make sure you rase the number to the next place
10066 4*6 = 24 24+4= 28 4*0=0
x 140
40284x
Now that you mutiplyed the 4 by everything and got the answer of 402840 (the x is just a zero) then you leave it aside and mutiply the 1s by everything whitch is much simpler.
10066 1*6= 6 1*0= 0 1*1 =1
x 140
10066xx (now you put 2 X's)
You get the answer of 1006600 and you add it with 402840
whitch is 1,409,240 (and that is your answer)
A square pyramid is shown below: What is the surface area of the pyramid?
A: 11.69 square feet
B: 3.29 square feet
C: 7.49 square feet
D: 2.24 square feet
Answer:
A: 11.69 square feet.
Step-by-step explanation:
11.2 + 0.49
= 11.69
Match each expression on the left with its corresponding simplified form.
A) m + 5
B) m + 3
C) m + 4
D) m + 8
note: there is no single answer. every single answer has to get matched
The equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3
What are equivalent expressions?Equivalent expressions are expressions that have equal values when evaluated
Start by evaluating each expression.
(4 + m) + 1
Remove the bracket
(4 + m) + 1 = 4 + m + 1
Evaluate
(4 + m) + 1 = m + 5
(m + 3) + 1
Remove the bracket
(m + 3) + 1 = m + 3 + 1
Evaluate
(m + 3) + 1 = m + 4
(2 + m) + 6
Remove the bracket
(2 + m) + 6 = 2 + m + 6
Evaluate
(2 + m) + 6 = m + 8
(1 + m) + 2
Remove the bracket
(1 + m) + 2 = 1 + m + 2
Evaluate
(1 + m) + 2 = m + 3
Hence, the equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3
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Which equation represents a line that is perpendicular to the line passing through (-8,7) and (2,4)?
Explanation:
Step 1) Because this is already solved for y we can get the slope of the perpendicular line by taking the slope of the given line (-3) and "flipping" it and reversing the sign:
−3 becomes −−13→+13→13
Therefore the slope of the perpendicular line is 13
Step 2) Use the point slope for to find the perpendicular equation:
y−1=13(x−−1)
y−1=13(x+1)
y−1=13x+13
y−1+1=13x+13+1
y−0=13x+13+33
y=13x+43
y=(13)x+(43)
Explanation:
The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units.
What is the length of the third side of the triangle in units?
Answer:
Step-by-step explanation:
168
Write the expression represented by the following: 8 less than twice a number
Answer:
2x<8
Step-by-step explanation:
we don't know the number so let the number be x then 2*x=2x therefore 2x<8
Triangle ΔABC has side lengths of a = 18, b=[tex]18\sqrt{3}[/tex], and c = 36 inches.
Part A: Determine the measure of angle A.
Part B: Show how to use the unit circle to find tan A.
Part C: Calculate the area of ΔABC.
Answer:
Step-by-step explanation:
This is a valid probability distribution because if you add together the probabilities their sum is 1
True
False
Answer:
True
Step-by-step explanation:
im not quite sure how to do this pls if anyone could help thanks
Answer:
a, 10% of 300 = 30 b, 300 - 30 = 270
Step-by-step explanation:
1. 300 x 10 = 3,000
2. Move decimal place 2 to the left = 30.00
3. Subtract 30 from 300 which is 270
I need this answered asappp
Answer: f(-4)=-4f
f(-3)=-3f
B.
Step-by-step explanation:
Y = 1/2x^2+1/4x+1/8
4. Find the slope of the line tangent at the given x
Answer:
dy/dx = x + ¼
Step-by-step explanation:
Using differentiation to find the given value,
[tex]y = \frac{1}{2} {x}^{2} + \frac{1}{4} x + \frac{1}{8} \\ \frac{dy}{dx} = 2(\frac{1}{2}) {x}^{2 - 1} + 1(\frac{1}{4} ) {x}^{1 - 1} + 0 \\ = x + \frac{1}{4} [/tex]