Answer:
a
The null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]
The alternative hypothesis is [tex]H_a : \ \sigma^2 \ne 1.9[/tex]
b
[tex]X^2 = 13.74[/tex]
c
The decision rule is
Reject the null hypothesis
d
The conclusion is
There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.
Step-by-step explanation:
From the question we are are told that
The variance is [tex]\sigma ^2 = 1.9[/tex]
The sample size is n = 30
The sample variance is [tex]s^2 = 0.9[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]
The alternative hypothesis is [tex]H_a : \ \sigma^2 \ne 1.9[/tex]
Generally the test statistics is mathematically represented as
[tex]X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }[/tex]
=> [tex]X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }[/tex]
=> [tex]X^2 = 13.74[/tex]
Generally from the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 30 - 1[/tex]
=> [tex]df = 29[/tex]
Generally from the chi distribution table the critical value of [tex]\frac{\alpha}{2} \ and \ 1 - \frac{ \alpha }{2}[/tex] at a degree of freedom of [tex]df = 29[/tex] is
[tex]X^2 _{ \frac{\alpha }{2} , df } = X^2 _{ \frac{0.05 }{2} , 29 } = 45.7[/tex]
=> [tex]X^2 _{ 1 - \frac{\alpha }{2} , df } = X^2 _{1 - \frac{0.05 }{2} , 29 } = 16.0 5[/tex]
Gnerally from the values obtained we see that
[tex]X^2 < X^2 _{ 1 - \frac{\alpha }{2} , df }[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.
write an equatiob of line in slope intercept from passing through (-10,-8) and parallel to y=1/5x-3
Four ninths plus one ninth
Answer:
5/9
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
4/9 + 1/9
To add fractions, you need a common denominator. You already have a common denominator of 9, so just add the numerators.
4/9 + 1/9 = 5/9
Since there is no common factor of 5 and 9 other than 1, the fraction is already reduced.
Answer: 5/9
what is the nth term for
- 2, 7, 22, 43
Answer:
3n^2 - 5
Step-by-step explanation:
Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.
What is the length of SW?
Answer:
it is indeed B
Step-by-step explanation:
a few years late but its fine right
The length of SW will be 9.5. Each median will be divided into segments by the centroid at a ratio of 2:1.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
The ratio of the centroid divides each median into segments will be 2:1.
[tex]\rm \frac{SZ}{TS} = \frac{2}{1} \\\\ \frac{4m+8}{3m-1} = \frac{2}{1}\\\\ 4m+8 = 2 (3m-1) \\\\ 4m+8 = 6m -2 \\\\ 2 m = 10 \\\\ m = 5[/tex]
The ratio of the centroid divides each median into segments will be 2:1.
[tex]\rm \frac{XS}{SW} = \frac{2}{1}\\\\ \rm \frac{2 m +12}{SW} = \frac{2}{1}\\\\ SW = \frac{19}{2}\\\\ SW = 9.5[/tex]
Hence the length of SW will be 9.5.
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be The distance an object travels is determined by how fast it goes and for how long it moves. If an object's speed remains constant, the formula is d= r., where d is the distance, ris the speed, and t is the time. a. If you drive at 50 miles per hour for 5 hours, how far will you have traveled? 200 miles b. 10 miles 250 miles d. 300 miles C. Please select the best answer
Answer:
10 miles is answer because u should divide d=r
Find the area of this quadrilateral.
Answer:
18
Step-by-step explanation:
I just counted and put together pieces that would reasonably make a full square
C С Ε B Н H D in the image point A is the center of the circle. Which two line segments must be equal in length?
Question:
In the image, point A is the center of the circle. Which two line segments must be equal in length?
Answer:
[tex]HI = EF[/tex]
Step-by-step explanation:
See attachment for figure
Required
Which two lines must bet equal
From the diagram, we have the following 4 lines:
BCHIEFADHowever, among the 4 lines, only two lines pass through center A.
These lines are:
HIEFThe length of these two line segments because they both pass through the center and they both represent the diameter of the circle.
Hence,
[tex]HI = EF[/tex]
Mabel has 8 coins, all of which are dimes and pennies. In all, they're worth 35¢. How many of each kind of coin does Mabel have?
Answer:
5 pennies
3 dimes
Step-by-step explanation:
Answer:
3 dimes and 5 pennies
Step-by-step explanation:
Dimes can only add up to 10s so, it would have to be 3 dimes. Pennies can only add one at a time. So the answer for pennies would be 5. And 5+3=8.
Hope this helps!
Which set of angle measures cannot be the angle measures for a triangle?
Answer: 60 , 60 , 61
Step-by-step explanation:
What is the volume of the following rectangular prism?
units
NI
1
16- units
4.
Answer:
60
Step-by-step explanation:
The volume of the rectangular prism is V = 64 units³
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Let the volume of the rectangular prism be represented as V
Now , the height of the prism is H = 4 units
The length and width of the prism is 1 and 16 units respectively
So , the base area of the prism B = 16 units²
Now , Volume of Prism = B x h
On simplifying , we get
The volume of rectangular prism V = 16 x 4
The volume of rectangular prism V = 64 units³
Hence , the volume of the rectangular prism is 64 units³
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EASY MATH PLS HELP
For f(x)= 19-5x, what is the value of f(-3)?
Answer:
f(x)= 19-5(-3)
19+15
f(x)=34
Step-by-step explanation:
solve for x,y and z, show your work
2x+y 2=-3
y+z=2
-y +z =12
If f(x)=(x+1)2+3, what is f(5)?
9514 1404 393
Answer:
39
Step-by-step explanation:
Put 5 where x is and do the arithmetic.
f(5) = (5+1)^2 +3 = 6^2 +3 = 36 +3
f(5) = 39
what is tax dependent
Answer:
A dependent is a person other than the taxpayer or spouse who entitles the taxpayer to claim a dependency exemption. Each dependency exemption decreases income subject to tax by the exemption amount.
Step-by-step explanation:
I need help with this !
Answer:
the one closer to the right with the 56 and 34
try adding the angle's degree.
Step-by-step explanation:
A club offers me membership for a fee of 20$ plus a monthly fee of 18 b club offers a fee of 14$ and a monthly fee of 20 after how many month will it be the same
Answer:
wfcfzgcfxfdsdfgfd
Step-by-step explanation:
gfgboy
Best answer gets Brainliest!!!!
Answer:
no
Step-by-step explanation:
if it was the amount of time would be going up at a constant rate but its not
and your graph is wrong
hope this helps <3
sorry if this is wrong this is a weird question :/
please help. i have like a bunch of missing assignments
Answer:
The answer is 11 Units
Answer:
12
Step-by-step explanation:
base*height=6*2
6*2=12
If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents. How much would you expect to gain after 25 tosses (in $ dollars)
Answer:
$30.00
Step-by-step explanation:
Because if you think about it, about half of them are going to be heads and the other half are going to be tails.
hope this helped
We could expect $30.00 to gain after 25 tosses.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
It is given that If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents.
We need to find How much would you expect to gain after 25 tosses (in $ dollars).
Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.
Therefore, We could expect $30.00 to gain after 25 tosses.
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Helpppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
c and e is not polynomials
Which set of numbers represents the DOMAIN for the following table below?
X -3 4 6 -12
Y 5 -6 2 0
A
{4,5,6,12}
B
{−12,−3,4,6}
C
{−12,3,4,6}
D
{0,5,−6,2}
Answer:
B. (-12,-3,4,6)
Step-by-step explanation:
The above question is asking the domain
HELP PLEASE!!!!!
Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?
The relationship is linear. More than 1 answer
a.) The relationship is non-linear.
b.) The relationship is proportional.
c.) The relationship is non-proportional.
d.) The relationship always results in a positive profit.
e.) The relationship always results in a negative profit.
Answer:
b
Step-by-step explanation:
What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?
A) Leg = Hypotenuse ∙ √2
B) Hypotenuse = Leg ∙ √2
C) Leg ∙ Hypotenuse = √2
Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
Answer:
progably B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?
Include A.M. or P.M. in your answer Please help me fast!!
Answer:
7:15 A.M. 1 hour and 45 min = 105 min3 hour 45 min= 225 min1 hour and 15 min = 105 min105(2)+ 225= 435 min= 7 hours and 25 min. Add that to the original total you get 14:40 P.M48/8 = 42/x
Please select the best answer from the choices provided.
A: x = 42
B: x = 7
C: x = 8
D: x = 6
Answer:
D because 48 ÷ 8 = 6 42 +6 = 7
The best answer from the choices provided,
is x = 7.
The correct option is B.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
An expression,
48/8 = 42/x
Applying cross multiplication,
x = 42(8)/48
x = 7
Therefore, the value of x is 7.
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Which is an equation for the line that contains (-2,5) and has a slope of -7 ?
7x + y = 33
y=-7x+9
y=-7x-33
7y+y=-9
Answer:
y = -7x - 9Step-by-step explanation:
The standard from of equation of a line is expressed as;
y = mx+c
m is teh slope = -7
c is the intercept
Get the intercept by substituting m = -7 and the point (-2, 5) into the equation;
y = mx+c
5 = -7(-2) + c
5 = 14 + c
c = 5-14
c = -9
Substitute m = -7 and c = -9 into the expression y = mx+c
y = -7x - 9
Hence the required equation of the line is y = -7x - 9
What ordered pair corresponds to point D?
(in pic)
( , ) ?
i’ll give brainiest, don’t answer if you don’t know i need this due in less than 20 mins !!
Answer:
(2,0)
Step-by-step explanation:
point D is on point (2,0)
that is what it means
Check over my math please.
Answer:
It looks like everything is correct :)
Step-by-step explanation:
1. The Honda Accord uses 192 gallons of gasoline to travel 6 miles. At this
rate, how many miles can the vehicle travel per gallon of gasoline? *
A1152 miles
B32 miles
C0.031 miles
D198 miles
Does this set of ordered pairs represent a function? (-1,5)(0,-3)(2,7)(4,0)(7,5)
Answer:
No
Step-by-step explanation:
You cant have 2 y values
Answer:
it is indeed a function
Step-by-step explanation: