An endocrinologist is interested in the effects of depression on the thyroid. It is believed that healthy subjects have a mean thyroxin (a hormone related to thyroid function) level of 7.0 micrograms/100 ml and a standard deviation of 1.6 micrograms/100 ml. The endocrinologist wants to assess whether the mean thyroxin level is different for those with depression. She samples 35 subjects with depression and obtains a sample mean of 7.82 micrograms/100 ml for thyroxin. What null and alternative hypotheses should she test
Answer:
H0: μ = 7.0
H1: μ > 7.0
Step-by-step explanation:
The null hypothesis will equal and take up the value of the population mean value ;
The population mean value, μ is 7.0
Null hypothesis ; H0: μ = 7.0
The alternative hypothesis will align with the claim ; which will take up and side with the value and direction of the sample mean ; 7.82 micrograms/100 ml
7.82 > 7.0 (sample mean is greater Than the population mean).
Hence, the alternative hypothesis, H1 will be ;
H1 : μ > 7.0
What is the best estimate for this sum?
1/3+4/7
Answer:
19/21
Step-by-step explanation:
1×7+4×3/21
19/21
Find the perimeter of the polygon if
5 cm
6 cm
7 cm
P = ? Cm
Answer:
(2) is the answer for your question
Find the volume of compostie figure
Step-by-step explanation:
The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.
Hope that helps :)
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
23%
Answer:
23%, 23/100, 0.23
Step-by-step explanation:
23%
= 23/100
= 0.23
I NEED HELP!! with this homework please. For B,C,and D, if you know the answer please tell me I’m kinda confused.
I’ll make you a brainlist for the reward:)
Answer:
Step-by-step explanation:
Location Reflect over x Reflect over y
B -0.75 ,1 -0.75 ,-1 +0.75 ,1
C 1.75 ,-1 1.75,1 -1.75,+1
D -2,-2 -2,+2 +2 ,-2
Divide the larger square into 10 equal columns or rectangles. Shade one rectangle. What part of the whole is the shaded rectangle? Write that part as a decimal and a fraction.
Answer:
[tex]Part=\frac{1}{10}[/tex]
[tex]Part=0.10[/tex]
Step-by-step explanation:
Given
[tex]Columns = 10[/tex]
[tex]Shaded = 1[/tex]
Required
Part of the whole
This is calculated as:
[tex]Part=\frac{Shaded}{Columns}[/tex]
Substitute [tex]Columns = 10[/tex] and [tex]Shaded = 1[/tex]
[tex]Part=\frac{1}{10}[/tex]
[tex]Part=0.10[/tex]
find the area of a triangle
b = 30m
h = 15.6m
Answer:
234
Step-by-step explanation:
Answer:
234
Step-by-step explanation:
AREA FOR TRIANGLE: bh/2
b = base
h = height
-
30 x 15.6 = 468
468/2 = 234
-
hope this helped ! :D
if -3x + 7 = -8 what does X equal
Answer:
5
Step-by-step explanation:
3x-7=8
x=5
given:quadrillateral ABCD inscribed in a circle
prove angel A and angel C are supplementary angel B and D are supplementary
Answer:
Step-by-step explanation:
Given: quadrilateral ABCD inscribed in a circle
To Prove:
1. ∠A and ∠C are supplementary.
2. ∠B and ∠D are supplementary.
Construction : Join AC and BD.
Proof: As, angle in same segment of circle are equal.Considering AB, BC, CD and DA as Segments, which are inside the circle,
∠1=∠2-----(1)
∠3=∠4-----(2)
∠5=∠6-------(3)
∠7=∠8------(4)
Also, sum of angles of quadrilateral is 360°.
⇒∠A+∠B+∠C+∠D=360°
→→∠1+∠2+∠3+∠4+∠5+∠6+∠7+∠8=360°→→→using 1,2,3,and 4
→→→2∠1+2∠4+2∠6+2∠8=360°
→→→→2( ∠1 +∠6) +2(∠4+∠8)=360°⇒Dividing both sides by 2,
→→→∠B + ∠D=180°as, ∠1 +∠6=∠B , ∠4+∠8=∠B------(A)
As, ∠A+∠B+∠C+∠D=360°
∠A+∠C+180°=360°
∠A+∠C=360°-180°------Using A
∠A+∠C=180°
Hence proved.
credit: someone else
What is the area of the parallelogram
96
Step-by-step explanation:
Your formula for parallelograms are: (B•H) which means base times height...
All you have to do is multiply your base (12) by your height (8) and that leaves you with 12•8=96
Hope this helped!
What is x abc def
A. 45
B. 60
C. 75
D. 30
Answer:
C
Step-by-step explanation:
A principal was buying T-shirts for his school's math club and found that the total cost
in dollars could be found by the function f(x) = 9x + 7, where x is the number of
members in the club. If there are at least 12 members on the team but not more than
16, then which of the following statements describes the function?
A. The value of x must be a whole number between 12 and 16 and the value of f(x)
must be a whole number between 9 and 7.
B. The value of x must be a whole number between 12 and 16 and the value of f(x)
must be a whole number between 115 and 151.
C. The value of x must be a whole number between 0 and 16 and the value of f(x) must
be a whole number between 0 and 151.
D. The values of x and f(x) must both be whole numbers between 7 and 9.
Answer: B, makes the most sence
Step-by-step explanation:
Write a quadratic equation given the x intercepts and other other point. Put steps together. Find the factors. Solve for a by substituting in the extra point. Write the equation in factored form.
Answer:
This question is clearly incomplete, so i will answer it in a really general way.
Suppose that for a quadratic function, we know that the x-intercepts are a and b.
And we also know that this function passes through the point (c, d).
First a definition, for a n-degree polynomial with the x-intercepts {x₁, x₂, ...,xₙ} and a leading coefficient K, we can write this polynomial in the factorized form as:
p(x) = K*(x - x₁)*(x - x₂)*...*(x - xₙ)
Now let's do the same for our quadratic function, we can write it as:
f(x) = K*(x - a)*(x - b)
(where a and b are known numbers)
Now we also know that this function passes through the point (c, d)
This means that:
f(c) = d
then:
d = K*(c - a)*(c - b)
With this equation we can find the value of K,
K = d/( (c-a)*(c - b))
Then the quadratic function is:
[tex]f(x) = d\frac{(x-a)}{(c-a)} \frac{(x-b)}{(c-b)}[/tex]
Where again, it is supposed that you know the values of a and b, and also the point (c, d)
Please help!
Which equation represents the relationship shown in the table?
Answer:
[tex]g \: y = 2x - 3 \\ [/tex]
if you insert x and y values in equation you can find the exact equation
Sami cut 6 and three fourth inches off a long roll of paper if the row 36 and one third inches long how long was the original roll of papers
Answer:
43 1 ÷12
Step-by-step explanation:
The computation of the length of the original roll of papers is shown below:
36 1 ÷3 and 6 3 ÷ 4 together
Now convert the above fractions into a number
36 1 ÷ 3 = 109 ÷3
And,
6 3 ÷4 = 27 ÷ 4
Now add these two numbers i.e.
109 ÷3 + 27 ÷ 4
= 436 + 81 ÷ 12
= 517 ÷12
= 43 1 ÷12
What are the solutions to the following system of equations?
y = 3x - 7
5x - y = 11
A(2, -1)
B (3, 4)
C (-3, 3)
D (-6, 1)
Answer:
A (2,-1)
Step-by-step explanation:
-1 = 3(2) -7
5(2) - (-1) = 11
In quadratic functions/equations; roots/solutions/x-intercepts/zeros all represent the same values/points.
True
False
Answer:
True
Step-by-step explanation:
Solutions to quadratic equations are often called
roots / zeros / x- intercepts
Find the value of the expression below
when x =3/4
4x² + 8x - 5
Answer:
4x² + 8x - 5
= 4(3/4)² + 8(3/4) - 5
= 4 × 9/16 + 24/4 - 5
= 36/16 + 24/4 - 5
= 9/4 + 6 - 5
= 9/4 +1
= 3.25
Step-by-step explanation:
Hope it helps!!
I will give a brainlist and more if someone can tutor me on how to do this so if you want to let me know, please!! anyone from ages 15-17
Solving Exponential and Logarithmic Equations: What are the potential solutions to the equation below? 2ln(x+3)= 0 X=-3 and X=-4 O x=-2 and x=-4 X= 2 and X=-3 O x=2 and X= 4
Answer:
x = -2.
Step-by-step explanation:
2 ln(x + 3) = 0
ln(x + 3) = 0
Now ln 1 = 0 so
x + 3 = 1
x = -2.
Month Change in Water Level (in.) March 8 April –3 May –9 June 5 The water level for a lake was recorded for four months. The data is shown in the table. Which month shows the greatest change in water level? A) March B) April C) May D) June
Answer: May
Step-by-step explanation: 9 is greater than 8 don't worry about the signs
Select all of the prime numbers from the list that can divide the number 10 exactly.
A2
B 3
C 5
D 7
E 11
F 13
G 17
H 19
I 23
Answer:
2 and 5
Step-by-step explanation:
2×5 = 10 or visa versa
10 ÷5=2
10 ÷2 =5
Using the order of operations, what should be done first when evaluating this expression?
Negative one-half divided by 2 (9 + 3) minus 4 minus three-fourths (8)
Divide Negative one-half divided by 2.
Add 9 + 3.
Multiply Negative three-fourths (8).
Subtract 3 minus 4.
Answer:
You add (9+3)
Step-by-step explanation:
because PEMDAS evaluates the parenthesis first,
Answer:
It' B
Step-by-step explanation:
I got a 100 on the test
What is the constant in y=−3x+7
dont say the answer in a file i have to download
Answer:
7
Step-by-step explanation:
math question in pic above plz help !!!!!!!!:))))) plz i need it a lot :')brainlist to how even answers right first
Answer:
a
Step-by-step explanation:
a because they both have a right angle which is 90 degrees
and beacuse 90 - 42 = 48 degrees which means both triangles have a 48 degrees
John had 8 marbles and 4 red marbles in the bag. He took 1 marble from the bag and then replaced it and then took a second marble. What is the probability that john gets a red marble and then a red marble again?
A: 1/9
B: 3/4
C: 1/3
D: 1/11
Answer:
1/4
Step-by-step explanation:
P(red,red) = 4/8 x 4/8 = 1/2 x 1/2 = 1/4
How many 6-digit numbers are there in all?
Answer:
900,000 6
∴ there are 900,000 6-digit numbers in all.
The Great Knightrola Small Monster Association has four chartered positions: President, Vice President, Treasurer, and Secretary; it also has 12 officers chosen at large. All of these seats must be filled by members of GKSMA, of which there are 50. No member may hold more than 1 position. How many different ways are there to fill the positions
Answer:
Number of different ways of filling the position is 8961115245946500
Step-by-step explanation:
There are total of 4 positions which can be arranged in 4! Ways
Like wise there are 12 positions. Hence the number of arrangements for these 12 positions would be 12!
Overall there are 12+4 = 16 positions in which 50 people needs to be arranged
Number of different ways of filling the position is
50P16 /(12! *4!)
= 8961115245946500
The number of different ways of filling the position is, 8961115245946500
There are total of 4 positions can be arranged in 4! Ways
Similarly there are 12 positions.
Therefore, the number of arrangements for these 12 positions is 12!
When we use the permutation?If there is an arrangement of the data then we use the permutation
Therefore we can say that there are 12+4 = 16 positions in which 50 people needs to be arranged.
The number of different ways of filling the position is,
[tex]50P16 /(12! *4!)[/tex]
By using the calculater you can find,
= 8961115245946500
To learn more about the permutation visit:
https://brainly.com/question/12468032
What is the value of x?
Answer:
C
24Step-by-step explanation:
Trust me on this one.
If You Have NO Explanation Than Don't Answer.
Answer: Option C
Step-by-step explanation:
C because 6+1=1+1+1+1+1+1+1
Answer:
C
Step-by-step explanation:
We want to find which model shows two equal expressions. We know that the value of x is 6. That being said, on the left side of each equation, plug in 6 for every "x" you see. Then, add the values on both sides. If they're equal, that's your answer.
For example:
In choice A, we see two x's, so we plug in 6 for them both and add them. That's 12 on the left side. On the other side of the equation, we have 7 "1" boxes, which simply just means add them, so that's 7 on the other side. 12 does not equal 7, therefore A is not the answer. However, for choice C, we are given x, which we know is 6, and a "1" box, which simply means 6 + 1, which is 7. On the other side of this equation, we have 7 "1" boxes, so that's 7. The equation becomes 7 = 7, which is true, so that is our answer.