10(4-7) What is the value of =(4-1) ?
-10
- 6
6
10
The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.
Answer:
The proportions differ significantly from those in the general population.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170
against
Ha: pi≠ pi0 for at least one value of i= 1,2,3,4
The significance level is set at ∝= 0.05
The test statistic under H0 is
χ² = ∑ (Oi- ei)²/ei
which has approximate chi square distribution with 3d.f (n-1)
Computations: Under H0 the expected frequencies are
np10= Blood type O = 170 * 49/100= 83.3
np20 = Blood type A = 170 * 38/100= 64.6
np30 = Blood type B = 170 * 20/100= 11.76
np40 = Blood type AB = 170 * 4/100= 2.35
The value of χ² is computed as follows
Cell Observed Estimated (Oi-ei) (Oi-ei)² (Oi-ei)²/ei
Frequency Frequency
Oi ei
1 87 83.3 3.7 13.69 0.157
2 59 64.6 -5.6 31.36 0.531
3 20 34 -14 196 9.8
4 4 6.8 -2.8 7.84 1.96
∑ 170 188.7 χ²= 12.43
The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and
χ²≥ χ²(0.01,3) = 11.34 for alpha = 0.01
As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.
I need help with this
Answer:
m∠z = 106°
Step-by-step explanation:
From the figure attached,
By exterior angle theorem,
m∠z = a + 68°
By linear pair theorem,
m∠a + 142° = 180°
m∠a = 180° - 142°
= 38°
Therefore, m∠z = 38° + 68°
= 106°
Helpppppppppppppppppppppppp
Marc deposits $1,500 into two savings accounts.
Account 1 earns 4% annual simple interest.
• Account 2 earns 4% interest compounded annually.
Marc does not make any additional deposits or withdrawals. What is the sum of the
balances of Account 1 and 2 at the end of 3 years?
Answer:3,360.0
Step-by-step explanation:
Please help me!! I'll give brainliest
I wont be able to answer your question but i hope this helps you understand which one is which :)
A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.
i hope i helped atleast a little :)
You pick a card at random. What is P(6)? Write
your answer as a percentage.
Sam says that the length of diagonal SQ is two times the length of diagonal OM.
Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answer:
Sam is wrong.
Step-by-step explanation:
A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :
Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.
Find the cost of tiling a rectangular plot of land 300 m long and 150 m wide at the rate of $6 per square m.
Answer:
$270,000
Step-by-step explanation:
First, find the area of the plot using the formula A = lw
A = lw
A = (300)(150)
A = 45,000
Then, multiply this by 6 to find the total cost:
45,000(6)
= 270,000
So, the cost to tile the plot is $270,000
Answer:
2700
Step-by-step explanation:
Length= 300m
width= 150 m
Area = Lx W = 300 x 150= 4500 sq m
rate per 100 sq meter= 6
so total cost = 4500/ 100 x 6
= 2700
hope it helps!
Find the slope of a line that goes through (-8, 1) and (-3, -4)
A. -11/3
B. -1
C. 5/5
D. 3/5
Answer:
B
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 ) = (- 8, 1) and (x₂, y₂ ) = (- 3, - 4)
m = [tex]\frac{-4-1}{-3+8}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1 → B
Answer:
B. -1
Step-by-step explanation:
Use the following equation:
slope [tex]m =[/tex] [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1, y_1) = (-3 , -4)\\(x_2, y_2) = (-8 , 1)[/tex]
Plug in the corresponding numbers to the corresponding variables. Simplify:
[tex]m = \frac{(1) - (-4)}{-8 - (-3)} = \frac{1 + 4}{-8 + 3} = \frac{5}{-5} = -1[/tex]
Slope ([tex]m[/tex]) [tex]= -1[/tex], or (B).
~
A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.
The given modeled function is R(x)=26+1.5x
where R(x) is the number of hours spent reading a book over a month
and x is the number of hours a person spends at the library over the course of a month.
Representing R(x) on the y-axis and x on the x-axis,
Puttinv x=0 to get the R(x) intercept as
R=36+1.5 x 0 = 36
So, (0,36) ia a point.
Determining other-point by putting any arbitrary value of x other than 0.
Putting x=2, to get the other point
R=36+1.5 x 10 =51
So, the other point is (10,51).
Now, joining both the points to get the graph of the given linear equation as shown in the figure.
Answer:
(0,26) (4,32)
Step-by-step explanation:
The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.
Its R intercept occurs when x=0, so
y(0)=26,
and (0,26) is the R-intercept.
To find another point, plug in another x value into the function y(x). For example, when x=4, we have
R(4)=26+1.5(4)=32.
So, (4,32) is another point on the graph of R(x).
During a snowstorm, the snow falls at a constant rate of 2 Inches per hour. Before the storm, there were 5 inches of snow on the ground from a previous storm. The total number of inches of snow, y. can be expressed in terms of the number of hours it snowed, ... Which equation represents this situation? y=2x+2 y=2x+5 y=5x+2 y=5x+5
Answer:
y = 2x + 5
Step-by-step explanation:
y is the amount of snow, and x is the hour. Every our, there is two inches, and the whole equation, you add on 5 because that was at the start
Answer:
y=2x+5
Step-by-step explanation:
This is because the snow falls at two inches PER HOUR. This is why it has an x afte. The +5 is the additional snow the ground had before it started snowing again.
When you graph a system of equations what are the three possible outcomes?
Answer:
i think its a beaner
Step-by-step explanation:
czi-txdf-gmj Aao sabhi
Answer:
hiii
Step-by-step explanation:
my name is arushi(aru)
This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.
You get a $60,000 loan for a new dump truck. With the truck, you can generate $500 more business each week at 80% margin. Your interest rate on the loan is 8.6%. Does the additional margin generated cover the Interest payments?
a) Yes
b) No
Answer: Yes
Step-by-step explanation: got it wrong and told me the correct answer
Please help
9/5= ?÷?
19/28=?÷?
1 3/5=?÷?
the “/“ sign means division, what kind of question even is this.
9/5= 9÷5
19/28=19÷28
So for the last one, we can turn it into an improper fraction which is:
8/5 = 8÷5
Help me find the radius please
Answer:
You have to state the question or have an attachment on your question so we can answer it
if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?
Step-by-step explanation:
x² + 16x + 64 = (x + 8)². Hence p = 8.
Since (x + 8) is a factor of 4x² + 37x + k,
4(-8)² + 37(-8) + k = 0. (by Factor Theorem)
=> 256 - 296 + k = 0
=> k - 40 = 0
=> k = 40.
The value of k is 40.
share $150 among John, mary and Sarah so that each of the two girls receives twice as much as John
Answer:
60 dollars to the two girls each, and 30 dollars to John.
Step-by-step explanation:
If the two girls have 60 dollars (each), then that is twice as much as 30.
60 + 60 = 120.
120 + 30 = 150.
Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars? –$37.00 –$18.50 $18.50 $37.00
Answer:C:$18.50
Step-by-step explanation: it shows the main number so it would be c pls correct me if I'm wrong...
Answer:
c
Step-by-step explanation:
There are 143 students, 6 teachers, and 8 chaperones going to the theater. To reserve their seats, they need to reserve entire rows. Each row has 9 seats.
How many rows must they reserve?
Please help, I really need help, will mark brainliest
ANSWER
have it right it is -4
Solve [tex]17(9-x)-50=52[/tex]17(9-x)-50=52
Answer:
17(9−x)−50=52
Step 1: Simplify both sides of the equation.
17(9−x)−50=52
(17)(9)+(17)(−x)+−50=52(Distribute)
153+−17x+−50=52
(−17x)+(153+−50)=52(Combine Like Terms)
−17x+103=52
−17x+103=52
Step 2: Subtract 103 from both sides.
−17x+103−103=52−103
−17x=−51
Step 3: Divide both sides by -17.
-17x ÷ -17
-51 ÷ -17
x = 3
Which of the symbol correctly relates The two numbers below 19?20
Answer:
<
Step-by-step explanation:
math people i really need help
Step-by-step explanation:
explained in the photo
what is 53.8 divided by 4? I will give Brainliest!!!!!!!!!!
Answer:
53.8/4 =13.45
Step-by-step explanation:
Step-by-step explanation:
13.45
I used a calulator
Help ASAP!!!
Suppose you buy a stock for $2,100. It decreases in value by 15% and then rises
20%. What is the new stock value? Round to the nearest cent.
A) $2,142.00
$1,785.00
B) $2,205.00
D) $2,520.00
Answer:
B
Step-by-step explanation:
20-15= 5 so you do 5% of 2100 by doing 2100 times 0.05 which gives y9u 105. you then add 2100 and 105 together
What is the volume of the rectangular prism below?
A
16 cubic units
B
20 cubic units
C
23 cubic units
D
32 cubic units
Answer:
D- 32 cubic units
Step-by-step explanation:
count each side and then multiple the numbers
Please help me
Find the value of x.
Answer:
d: x = -8
Step-by-step explanation:
40 + 65 + x + 83 = 180 (sum of internal angles of a triangle)
x = 180 - 40 - 65 - 83
x = -8
I need help with this pls.....
Answer:
The measure of GJk is 95°
measure of angle HJG is 85
Step-by-step explanation:
45+50= 95
180-95= 85