Answer:
y= 3/7x + 5 6/7
Step-by-step explanation:
6-3/5--2 = 3/7
y=3/7x+b
6=1/7+b
b=5 6/7
Friedman and Rosenman have suggested that personality type isrelated to heart disease. specifically, type A people, who arecompetitive, driven, pressured and impatient are more prone toheart disease. on the other hand, type B people, who are lesscompetitive and more relaxed are less likely to have heart disease.suppose that an investigator would like to examine the relationshipbetween personality type and disease. for a random sample ofindividuals, personality type is assessed witha standardizedtest. these people are then examined and categorized as to whetherthey have a heart disorder. the observed frequencies are asfollows: noheart disease heartdiseaseTypeA 32 18 50TypeB 128 22 150 160 40is there any relationship between personality and disorder? testat the .05 level of significance.
Answer:
since p value(0.001091 ) is less than less than alpha(0.05)
null hypothesis H₀ is rejected.
Hence, we conclude that there is a relationship between personality and disorder.
Step-by-step explanation:
Given the data in the question;
non-heart disease heart disease total
TypeA 32 18 50
TypeB 128 22 150
total 160 40
level of significance ∝ = 0.05
H₀ : There is no relationship between personality and disorder
H₁ : There is a relationship between personality and disorder
so
the computational table for x²
E₁ = 50×160 / 200 = 40
O E O-E (O-E)² (O-E)² /E
32 40 -8 64 1.6
18 10 8 64 6.4
128 120 8 64 0.5333
22 30 -8 64 2.133
∑ 10.667
so
X² = ∑( (O-E)² /E ) = 10.667
The contingency table is 2×2, since there are 2 rows and 2 columns
df = (2-1)(2-1) = 1
P Value from Chi-Square Calculator
Chi-square score: 10.667
DF : 1
p-value = 0.001091
since p value(0.001091 ) is less than less than alpha(0.05)
null hypothesis H₀ is rejected.
Hence, we conclude that there is a relationship between personality and disorder.
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
Which line segment is not a diagonal through the interior of the cube shown?
Side B E
Side C H
Side C E
Side D G
Answer:
its side CE
Step-by-step explanation:
I got it wrong and it showed me the answer. Hope this helps!
Answer:
C
Step-by-step explanation:
got it right
The amount of a radioactive substance remaining as it decays over time is A = A0(0.5)t/h ,where a represents the final amount
Ao represents the original amount, t represents the number of years, and h represents the half-life of the sibstance.
The half-life of the radioactive isotope carbon-14 is 5,730 years. Approximately how many years will it take a 50-gram mass of
carbon-14 to decay to 5 grams?
Carbon-14 will take 19,035 years to decay to 10 per cent.
What is the time of decay?
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.
An exponential decay can be described by the following formula:
[tex]N(t)=N_oe^{-\lambda t}[/tex]
Where:
No = The quantity of the substance that will decay.
N(t) = The quantity that still remains and has not yet decayed after a time t
[tex]\lambda[/tex] = The decay constant.
One important parameter related to radioactive decay is the half-life:
[tex]t_{1/2}=\dfrac{Ln(2)}{\lambda}[/tex]
If we know the value of the half-life, we can calculate the decay constant:
[tex]\lambda =\dfrac{ln(2)}{t_{1/2}}[/tex]
Carbon-14 has a half-life of 5,730 years, thus:
[tex]\lambda =\dfrac{ln(2)}{5730}[/tex]
[tex]\lambda[/tex] = 0.00012097
The equation of the remaining quantity of Carbon-14 is:
[tex]N(t)=N_oe^{-0.00012097t}[/tex]
We need to calculate the time required for the original amount to reach 10%, thus N(t)=0.10No
[tex]0.10N_o=-N_oe^{-0.00012097t}[/tex]
Simplifying:
[tex]0.10=e^{0.00012097t}[/tex]
Taking logarithms:
ln(0.10) = -0.00012097t
Solving for t:
[tex]t=\dfrac{Log0.10}{-0.00012097}[/tex]
t = 19035 years
Carbon-14 will take 19,035 years to decay to 10 per cent.
To know more about decay follow
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Which expression has the greatest value?
A: -2 x -2 divided by 1/2
B: -2 x -1/2 divided by 2
C: -2 x 1/2 divided by 1/2
D: -2 x 2 divided by 2
Answer:
A. -2 × -2 divided by 1/2
Step-by-step explanation:
-2 × -2 ÷ 1/2 =8
Can anyone help me with my homework
6) Suppose that $5000 is deposited into an account that earns 3.5%
interest compounded Semiannually. Let f(t) represent the value in dollars)
of the account at t years after depositing the $5000. Find the value of the
account at t = 4 years. (Round your answers to two decimal places.) {your
answer input will be decimal number only)
Answer:
the future value is $5,750.01
Step-by-step explanation:
The computation of the future value is shown below;
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= $5,000 × (1 + 0.035 ÷ 12)^4 × 12
= $5,000 × (1 + 0.2916%)^48
= $5,750.01
Hence, the future value is $5,750.01
There are 20%, percent more goblins than wizards in magic club. There are 120 goblins in magic club.
How many wizards are in the magic club?
Answer:
100
Step-by-step explanation:
Here is your answer
Let the number of wizards is x
20% more gobins than wizards.
ATQ
Hence Numbers of wizards are 100 in a magic club.
Answer:
480
Step-by-step explanation:
120 ------ [tex]\frac{20}{100}[/tex]
x ----------[tex]\frac{100}{100}[/tex]
x·[tex]\frac{20}{100} = 120\frac{100}{100}[/tex]
x= [tex]\frac{120}{0,2}[/tex]
x=600
600- 120= 480 wizards in the club
A vase is shaped like a rectangular prism. It has a base area of 36 square
inches and a height of 10 inches. The vase is filled to the top with water
and emptied into a fish tank. The fish tank is also shaped like a rectangular
prism. How much more water is needed to fill the fish tank?
Vase
Fish Tank
10 in.
10 in.
10 in
36 in
20 in.
Answer:
should be 36 in
Step-by-step explanation:
1. Figure out the volume of vase
V = lwh (A = l*w, 36 = 6 * 6)
V = 10*6*6 = 360 in^3
2. What is the size of fish tank? What are the options?
An experiment was conducted to investigate the effect of management training on the decision-making abilities of supervisors in a large corporation. Sixteen supervisors were selected and eight were randomly chosen to receive managerial training. Four trained and four untrained supervisors were then randomly selected to function in a situation in which a standard problem arose. The other eight supervisors were presented with an emergency situation in which standard procedures could not be used. The response was a management behavior rating for each supervisor as assessed by a rating scheme devised by the experimenter.a. What are the experimental units in this experiment?b. What are the two factors considered in the experiment?c. What are the levels of each factor?d. How many treatments are there in the experiment?e. What type of experimental design has been used?
Answer:
A) 16 supervisors that were selected.
B) Training and Situation
C) - Trained and untrained
- Standard and Nonstandard
D) 4 treatments
E) Completely randomized block design experiment.
Step-by-step explanation:
A) The experimental units are the subjects upon which the experiment was performed. In this case, that is the 16 supervisors that were selected.
B) The two factors considered were:
- The managerial training
- The situation in which a standard problem arose and also the emergency situation in which standard procedures could not be used.
C) The levels would be the values the experimenter observes as a result of the training and situation.
Thus, the levels are:
- Trained and untrained
- Standard and Nonstandard
D) Number of treatments are the total number of levels gotten in C above.
Thus, number of treatments = 4
E) Since the 16 supervisors that were selected were randomly assigned treatments, we can say it is a completely randomized block design experiment.
Is 4/5 and 5/6 equivalent or not
Answer:
For the two fractions 4/5 and 5/6, the least common denominator is 30. The fraction 4/5 is equivalent to 24/30 (To get this I multiplied both the numerator and denominator by 6). The fraction 5/6 is equivalent to 25/30 (To get this I multiplied both the numerator and denominator by 5).
Step-by-step explanation:
They are equivalent (Except for the numerator)
19.14 = v + 1.5
v = ?
Answer:
V= 17.64
Step-by-step explanation:
Tapiwa raked 5% more leaves than Adam raked. Tapiwa raked 357 liters of leaves.
How many liters of leaves did Adam rake?
Answer:
340 liters
Step-by-step explanation:
This means that Tapiwah raked x plus 5% of x leaves. Knowing that Tapiwah actually raked 357 liters, we can find the value of x as follows. So, Adam raked 340 liters of leaves.
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x+7–4x3
If 12 men or 15 women can finish a piece of work in 66 days, how long will 24 men and 3 women take to finish the work? Pls helppp thank you :)
Answer:
30 days
Step-by-step explanation:
If carpet costs $4 per square yard, how much would it cost
to carpet a rectangular room that is 6 yards wide and 10
yards long?
Answer:
A=l•w
A=6•10
A=60 yards square
1 yr sq 4$
60 yr sq x$
x=60•4/1
x=240 $
It would cost 240$ to carpet the room
Step-by-step explanation:
-2=w/2+6
solve for w
Answer:
It is -16
Step-by-step explanation:
Have a great Day
1.
Calculate the following:
(4 + 2) + ( x 1
2. Simplify the following
a. 37423-4
b. 9-2
First answer is 6+x
2. A.37419
B. 7
24 divided by [(6 divided by 2) - (4 divided by 2)
Answer:
Im pretty sure the answer is 6
Step-by-step explanation:
Leave the 24 aside for a sec. Focus on the 6÷2 and 4÷2. 6 divided by 2 is 3. And 4 divided by 2 is 2. So now its 24÷3= 8
8-2=6
Find the measure of angles?
The equations to find the measure of ∠ ∠ are given. Use the definition of an angle bisector
to find the measure for those two angles.
Answer:
m<KNL = 65°
m<MNL = 65°
Step-by-step explanation:
An angle bisector divides an angle into two equal parts.
Thus:
m<KNL = m<MNL
Substitute
5x + 10 = 6x - 1
Collect like terms
5x - 6x = -10 - 1
-x = -11
Divide both sides by -1
x = 11
✔️m<KNL = 5x + 10
Plug in the value of x
m<KNL = 5(11) + 10 = 55 + 10
m<KNL = 65°
✔️m<MNL = 6x - 1
Plug in the value of x
m<MNL = 6(11) - 1 = 66 - 1
m<MNL = 65°
through: (-2, -1), slope = 3
Write the slope intercept form of the equation line through given point with given slope .
Answer:
y =3x + 5
Step-by-step explanation:
The slope intercept form of an equation is expressed as;
y = mx+c
m is the slope
c is the intercept
Get the intercept
Substitute m = 3 and (-2,-1) into y = mx+c
-1 = 3(-2)+c
-1 = -6 + c
c = -1+6
c = 5
Get the equation.
Recall that y = mx+c
y =3x + 5
This gives the required equation
evaluate x+(x^2-xy)-y if x=8 and y=5
Answer:
27
Step-by-step explanation:
8+(8^2-8*5)-5
8+64-40-5
72-45
27
Answer:
27
Step-by-step explanation:
8 + [8^2- (8x5)] -5
=27
A, B and C are points on a circle with a diameter AB
Answer:
36.575
Step-by-step explanation:
you need to find line ab you can do [tex]A^{2} +B^{2} =C^{2}[/tex] for the triangle and get the line you also need to get the squar root of it as it is still squared then devide by 2 to get the rades then times that by pi and there you go you have the area also sorry for spelling I love math not English
Three concert tickets cost $45.
How is one ticket?
How much would 9 tickets cost?
How much would 11 tickets cost?
Answer:
45 divided by 3 = 15.00 a ticket
15.00 X 9 = 135.00
15.00 X 11 - 165.00
Step-by-step explanation:
HELP ME PLZ I NEED IT DONE
Answer:
-6 , 6, 11
Step-by-step explanation:
Set each part of the equation to zero, so that x-11= 0, and x^2 - 36 = 0. Solve each part, and you get -6, 6, and 11.
Hopefully this helps- let me know if you have any questions!
HELP! WILL GIVE BRANLIEST + EXTRA POINTS!!!!
Answer:
130.25 ft.
Step-by-step explanation:
The semi circle has a length 1/2 of the circumference of the circle with a diameter of 25
C = πd = 3.14(25)
So, the semi circle has a length = 1/2(3.14)25) = 39.25
The distance for the rectangle = 33 + 25 + 33 = 91
Therefore, the total perimeter = 91 + 39.25 = 130.25
This is for person to help me
Answer:
5. F
6. C
Step-by-step explanation:
5. the mode is all the variables added together which is 100 or 100% divided by the number of them which is 4. 100 divided by 4 is 25 or 25%. The one that's equal to 25% is F which is soccer.
6. The relative frequency from what I can tell is the percentages of each of them. You just have to see how much space each of them takes up. C should be the answer.
Hopefully these are correct.
FACTOR the expression 6x+3y-12 using the greatest common multiple.
Include Parentheses: ()
No spaces!
Put the multiple outside, to the left of the parentheses! Combine like terms and simplify the expression: -2+6x+4+4x
Answer:
Step-by-step explanation:
For 6x+3y-12 the greatest common factor is 3 so
3(2x+y-4)
For -2+6x+4+4x
10x+2 and 2 is greatest common factor so
2(5x+1)
Will someone help me please)
I need help quick!!!!
Write and solve an equation to find the
measure of x.
Answer please eeeeeeee will give branliest
Answer:
p-3 is the correct answer
Answer:
p - 3
Step-by-step explanation:
let x = number of pretzels terry ate and p = the amount of pretzels susan ate
If Terry ate 3 less than Susan than
x would equal p - 3
so your answer would be p - 3