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.
The question is below thanks
Answer:
AC = 49
Step-by-step explanation:
Using the Altitude - on - Hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)
BC² = DC × AC, substitute values
14² = 4 × x
196 = 4x ( divide both sides by 4 )
49 = x
Thus AC = x = 49
Step-by-step explanation:
pythogoream theorem.(hyp^2=opp^2+adj^2)
hyp=14 adg=4 opp=?
since we have to find opp
opp^2=hyp^2-adj^2
opp^2=14^2-4^2
196-16=180
[tex] \sqrt{180} [/tex]
BD= 13.41
(Q as theta)
sinQ= opp÷hyp
= 13.41÷14
Q=sin^-1(13.4÷14)
Q=73.33
cosQ=adj(AD)÷hyp(BC)
cos 73.33× 14 =adj
AD=4.01
Therefore, AC =AD +DC(4.01+4)
=8.01
I am not sure....but I got this much
50 POINTS AND BRAINLIEST
The legs of a right triangle are 4 meters and 5 meters. Find the length of the hypotenuse. Round your answer to the nearest tenth.
6.0 meters
6.3 meters
6.4 meters
6.5 meters
6.6 meters
None of the above.
Answer:
uh is it 6.5???
Step-by-step explanation:
given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.
Answer:
Not a triangle.
Step-by-step explanation:
Sum of the two smaller sides must be greater than the largest side.
HELP GIVEING BRAINLIST What is the solution set of -11 > 1 + a?
a > -10
a -12
a < -10
a < - 12
Answer:
the solution set is -11 > 1 + a?
a > -10
a -12
a < -10
A customer ordered a product online for $299 and was charged an additional $10 for shipping and handling. The customer received a rebate of $99 and a $25 credit for turning in an old cell phone. After a tax of 4% was applied, how much did the customer pay for the product?
Answer:
the amount paid by the customer for the product is $192.40
Step-by-step explanation:
The computation of the amount paid by the customer for the product is shown below:
= Total amount + Total amount × tax rate
= ($299 + $10 - $99 - $25) + ($299 + $10 - $99 - $25) × 0.04
= $185 + 185 × 0.04
= $185 + $7.4
= $192.40
Hence, the amount paid by the customer for the product is $192.40
We simply applied the above formula so that the correct value could come
And, the same is to be considered
12 points!! PLEASE
y =(x-3) - 4
rewrite these in standard and factored form!!
Standard form:
x - y = 7
Factored form:
y = x - 7
Answer:
y = x - 3 - 4
y = x - 7
(x - 7 = y)
(x = y + 7)
Step-by-step explanation:
Hope you got it.
Police stop a truck at a check post which claims to be carrying sacks of Humic Acid Sodium, a black, water-soluble fertilizer. When the truck is examined, it is found to have sacks of at least four different materials which the police label W, X, Y and Z. They suspect that apart from the fertilizer, the truck is carrying iron filings, gunpowder, and black powdered wood. They conduct some tests whose results are as follows:
The real question is to look at the table and find out which one is the gunpowder?
Answer:
Z fine black powder
If V2=200mL, C1=80%, C2=50%, what is V1?
Answer:
125 mL
Step-by-step explanation:
We are given:
V₁ = x mL
C₁ = 80%
V₂ = 200 mL
C₂ = 50%
Solving for x:
We know that:
V₁C₁ = V₂C₂ [Concentration formula]
replacing the values:
x(80) = (200)(50)
x = 125 mL [Dividing both sides by 80]
Y=^2+5x-7 find the vertex
Answer:
-5/2-39/2
Step-by-step explanation:
Perimeter of 316 and 67 m
Answer:
383 m
Step-by-step explanation:
Help ASAP!!!!!A side of the triangle below has been extended to form and exterior angle of 159 degrees.Find the value of s
Answer:
x=21
Step-by-step explanation:
45+x+the last angle=180
x+159=180
180-159=21
21+45= 66
180-66=114
so i think x would be 21 degrees but im not entirely sure do not quote me on this sorry
••••••••••••••••••••••••••••••
Answer:
D. 7
Step-by-step explanation:
substitute -1 everywhere there is an x
5-2(-1) multiply
5-(-2) add
7
Mrs. Ellis wrote the expression (24 + 4) ÷ 4 on the board. Which expression is equivalent to the expression Mrs. Ellis wrote?
a.(4 + 3)² ÷ (10 – 3)
b.36 ÷ 3 • 2 + 1
c.8 • 3 + 12 • 2 + 11
d.72 – 4 • 8 – 15 ÷ 3
Answer:
a. (4+3)² ÷ (10-3)
Step-by-step explanation:
Because 4+3 is 7 then to the second power is 49 divide that by 7 which gives you 7.
ABCDE is a regular pentagon. Find each lettered angle measure.
Answer:
x° = 36°, y° = 36°, z° = 72°
Step-by-step explanation:
Each interior angle of a regular polygon is given by the following formula;
Interior angle = (n - 2)×180°/n
Where;
n = The number of sides on the polygon
For the pentagon, we have;
n = 5, therefore;
Interior angle = (5 - 2)×180°/5 = 108°
ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;
∠ADC = ∠DAC = x°, and ∠ACD = 108°
Therefore
x° = (180° - 108°)/2 = 36°
x° = 36°
∠BAC = 2·x° + y° = 108°
∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°
y° = 36°
ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each
Therefore, in ΔADE, we have;
z° = (180° - 36°)/2 = 72°
z° = 72°
Use a fives fact to help you solve 7x6.
Answer:
42
Step-by-step explanation:
Since 7x5=35, then 7x6=42. This is known as the fives fact rule, and I used it to figure it out.
Hope this helps! :)
Following are the facts to solve the given expression:
Given:
[tex]\to 7 \times 6[/tex]
To find:
facts=?
Solution:
[tex]\to 7 \times 6=42[/tex]
Fact 1:
[tex]\to 42= 6 \times 7[/tex]
Fact 2:
[tex]\to 42= 3 \times 2 \times 7[/tex]
Fact 3:
[tex]\to 42 =(4 \times 10)+ (2\times 1)[/tex]
Fact 4:
[tex]\to 42= (5\times 8) + (2\times 1 )[/tex]
Fact 5:
[tex]\to 42=(3 \times 12)+(2 \times 3)[/tex]
Learn more about facts for solving equations:
brainly.com/question/8648763
A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?
Answer:
3 ft.
Step-by-step explanation:
15:20 and x:4 you can cross multiply or if you reduce 15:20, the answer is 3:4
Solve for h .
-18 + h = 28
h =
Answer:
H = 46
Step-by-step explanation:
Add 18 to both sides to get h by itself
h = 46
Final Answer: [tex]h = 46[/tex]
Steps/Reasons/Explanation:
Question: Solve for [tex]h[/tex]. [tex]-18 + h = 28[/tex]. [tex]h[/tex] = ?
Step 1: Regroup the terms.
[tex]h - 18 = 28[/tex]
Step 2: Add [tex]18[/tex] to both sides.
[tex]h = 28 + 18[/tex]
Step 3: Simplify [tex]28 + 18[/tex] to [tex]46[/tex].
[tex]h = 46[/tex]
~I hope I helped you :)~
PLEASE HELP I WILL MARK YOU BRAINLIST PLEASE THANK YOU
Answer:
it is c
Step-by-step explanation:
the lines are parallel to each other
Hewo plz help can u answer
PUT A REAL ANSWER!!!!!!!!!!
5 pts.
175+8w≥425
Answer:
w≥31.25
Step-by-step explanation:
175+8w≥425
-175 -175
8w≥250
/8 /8
w≥31.25
Answer:
X is greater than or equal to 125/4
Step-by-step explanation:
Subtract 175 from both sides which will turn 425 into 250
Divide 8 from 8x to the other side to turn 250 into 125/4
In the end, you get X is greater or equal to 125/4
HELPPPPP ME PLEASEEEE
the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3
What is the product of the expression (2x + - 4)(x - 6)?
Answer:
(2x+-4=6-
We move all terms to the left:
(2x+-4-(6-)=0
We add all the numbers together, and all the variables
(2x+-4-0=0
We use the square of the difference formula
(2x-4-0=0
Step-by-step explanation:
Does this graph represent a function and if so why
Answer:
the answer is b
Step-by-step explanation:
Which graph represents this system? y = 3. x + y = 4.
Answer:
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
Step-by-step explanation:
Identify the independent and dependent variable of the following graph. Indicate whether the graph rises, falls, or is constant. Annual gross income in relation to number of years.
a. Independent Variable: time, dependent variable: annual income Graph falls and then steadily rises.
b. Independent Variable: annual income, dependent variable: time Incomes rises steadily then drops off sharply before beginning to rise again.
c. Independent Variable: annual income, dependent variable: time Income remains steady throughout time.
d. Independent Variable: time, Dependent Variable: annual income. Income rises steadily then drops off sharply before beginning to rise again.
Answer:
d number is the correct answer of the question
Answer:
d. Independent Variable: time, Dependent Variable: annual income
Income rises steadily then drops off sharply before beginning to rise again
Step-by-step explanation:
An Olympic-sized swimming pool holds 2,500,000 liters of water. How many gallons of water does an Olympic-sized swimming pool hold? Round your answer to the nearest tenth.
Answer:
The Olympic sized swimming pool hold 660501.9 gallons of water.
Step-by-step explanation:
Given that:
Water hold by an Olympic sized swimming pool = 2500000 liters
We know that;
1 gallon = 3.785 liters
Therefore,
We will divide the total number of water in liters by 3.785 to find the number of gallons.
Gallons of water in pool = [tex]\frac{2500000}{3.785}[/tex]
Gallons of water in pool = [tex]660501.9[/tex] gallons
Hence,
The Olympic sized swimming pool hold 660501.9 gallons of water.
what is the range of the graph? Please choose one.
Simplify
69 +39
018
O 81
Answer:
108
Step-by-step explanation:
Answer:
I don't get it is there more option or something.
I need help what r these coin?
Answer:
those are called quarters
Answer:
Well Caden has 3 quarters (which . 75 cents since they are .25 cents a piece ), he also has a dime, (which is .10 cents ) and also a nickel. ( which is .5 cents)
Caden: .75+.10+.5= $1.00
Eden has a quarter (.25 cents), 2 dimes (.20 cents) and 2 nickels ( .10 cents )
Eden : .25+.20+.10= .55 cents
Harper has 2 quarters (.50 cents), 2 dimes ( .20 cents) and 2 nickels( .10 cents)
Haper: .50+.20+.10= .80cent s
Step-by-step explanation:
I hope this helps and if it does please mark me the brainliest! Peace and love
|look what brainly did they got me a good grade in math thank you brainly I thank you so much love you all
Answer:
you welcome bih
Step-by-step explanation:
Answer:
Congrats
Step-by-step explanation:
I'm glad its helping.
What is an equivalent fraction to 2/7
4/14 is equivalent. This was found by multiplying both the numerator and denominator by 2.