Answer:
x = -5
Step-by-step explanation:
One is given a function and the value of the function at a certain output. One must set the function to the given output, and solve to find the input,
h(x) = - x - 2
h(x) = 3
Set the output equal to the input,
h(x) = - x - 2 = 3
Inverse operations,
- x - 2 = 3
+2 +2
- x = 5
*-1 *-1
x = -5
A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis.
Required:
a. What is the appropriate test?
b. State the null hypothesis.
c. State the alternative hypothesis.
d. Find the critical value.
e. Calculate the obtained statistic.
Answer:
1.) One sample t test
2.) New steroid does not decrease blood glucose level in rats ; H0 : μ = 31
3.) New steroid does blood glucose level in rats ; H1 : μ ≠ 31
4.) 2.718
5.) 3.36
Step-by-step explanation:
We only have one sample; hence, we use an independent sample t test.
Given the sample data :
X : 35,36,37,33,34,35,33,35,37,36,34,35
Using calculator;
Sample mean, Xbar = 35
Null hypothesis ;supports that the mean glucose level of species equals ; H0 : μ = 31
The alternative hypothesis ; H1 negates the null hypothesis and aligns with the sample mean ; 35 > 31 ;
H1 : μ > 31
The critical value can be obtained from the T-distribution table ;
α = 0.01 ; degree of freedom, df = n - 1 = 12 - 1 = 11
Tcritical value = 2.718
Tstatistic : (xbar - μ) ÷ (s/√n)
Tstatistic = (35 - 31) ÷ (4.12/√12)
Tstatistic = 3.36
Tstatistic is more extreme Than the critical value
Will give brainlst!!
Have a amazing day :)
Pls help
Answer:
Sorted Data Set: 2, 10, 12, 13, 14, 15, 17, 18, 18, 20, 21
Mean (Average) 14.545454545455
Median 15
Range 19
Mode 18, appeared 2 times
Geometric Mean 12.803503609558
Largest 21
Smallest 2
Sum 160
Count 11
First Quartile Q1 = 12
Second Quartile Q2 = 15
Third Quartile Q3 = 18
Interquartile Range IQR = 6
which numbers are between 3 1/3 and 8 7/10
there are numbers 2 and 9
The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!
Answer:
75 Units
Step-by-step explanation:
i got this on khan :)
Review graph I and graph II.
On a coordinate plane, a parabola labeled Graph 2 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0).
On a coordinate plane, a parabola labeled Graph 1 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0). An open circle is at (negative 4, 8).
Which statement compares the limit as x approaches –4 for the two graphs?
In both graph I and graph II, the limit is 5.
In both graph I and graph II, the limit does not exist.
In graph I, the limit does not exist, but in graph II, the limit is 5.
In graph I, the limit is 8, but in graph II, the limit does not exist.
Answer:
A - in both graph I and graph II, the limit is 5
Step-by-step explanation:
:)
Answer:
A - in both graph I and graph II, the limit is 5
Step-by-step explanation:
the guy above me lol
How many odd numbers are in 10 to 50?
Answer:
20
Step-by-step explanation:
11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49
Factor completely 21x3 + 35x2 + 9x + 15.
Answer:
= ( 3 x + 5 ) ( 7 x² + 3 )
Step-by-step explanation:
Factor out the GCF of the three terms, then complete the factorization of x4 + 7x + 10x^2
HELP ME PLEASEEEEEEEEE
Answer:
1.7 pounds
Step-by-step explanation:
7.9 - 6.2= 1.7
Rachel received $650 for her birthday. She purchased a surfboard for $477 and some additional accessories without spending more than the money she received.
She wrote the inequality 477 + x < 650.
Is the inequality correct?
Answer:
No, because the inequality symbol should be less than or equal to 650
Please help!
Thank you ☺️
Answer:
I think it's,1,7,7 that will not make a triangle
hope this help
Read the details Stefan has gathered about solar eclipses. Based on the information Stefan has gathered, which essential question did he ask? When does it occur? A solar eclipse occurs as a result of the moon lining up perfectly between the Earth and the Sun, blocking the Sun from Earth. O What is it? O Where is it located? Why does it happen
HURRY WORTH 30 POINTS
Answer:
c
Step-by-step explanation:
Where is it located?
Answer:
D
Step-by-step explanation:
PLS AWNSER ILL GIVE BRAILIEST
Answer:
B
Step-by-step explanation:
Answer:
Its A ,
Step-by-step explanation: Done maht
What is the measure of m?
m=6
this is because m=n=6 since the triangle is an equilateral triangle
hope it helps:)))
Answer:
m=6 hope this helps. byer
I need the answer I don’t know what it is so can anybody help.
Answer:
4√3
Step-by-step explanation:
The left triangle is a 30°-60°-90° triangle.
30-60-90 triangles have special side proportions that you should memorize, because you will definitely use it in the future. Please see the attached image.
You can get x by taking 8 and dividing it by 2 to get 4, then multiplying it by √3 to get 4√3.
Find the volume of a cone that has radius = 2 1/2 and height = 5.
98.1
26.2.
32.7
65.4
Answer:
98.1 is your anwser I know this kinds of stuff
Step-by-step explanation:
v=22/7×r^2×h/3
=22/7×21/2×5/3
=33/5
=11cm^3
Find the solution of the system of equations shown on the graph.
Answer:
(7,9)
Step-by-step explanation:
equations of lines are:
y = x + 2
y = 3x - 12
x + 2 = 3x - 12
-2x = -14
x = 7
y = 7 + 2
y = 9
Ms. Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese, and the rest were veggie pizzas. What fraction of the pizzas was veggie?
Answer:
5 / 28
Explanation:
Total number of Pizza's ordered = 56
Pepperoni = 27
Cheese = 19
The remainder were Veggie ;
Fraction of pizza that were. Veggie
Number of pizza's that were Veggie :
56 - (27 + 19)
56 - 46
= 10
Fraction of Veggie pizza :
Number of Veggie pizza / total number of Pizza's
10 / 56
= 5 / 28
WILL GIVE BRANLIEST.
Which of the following statements are true?
Select 4 correct answers
1. All of the coordinate pairs in Quadrant 1 are positive.
2. All of the coordinate pairs in Quadrant 3 are negative.
3 All of the coordinate pairs in Quadrant 2 are positive.
4 Everything to the left of zero on the x axis is negative, everything below zero on the y axis is negative.
5The x axis is positive in quadrants 1 & 3
6 The y axis is negative in Quadrants 3 & Quadrant 4.
Answer:
1. True
2. True
3. False
4. True
5. False
6. True
7. Jesus.
What is the angle of elevation of the sun when a 44 ft mast casts a 13ft shadow?
Answer:
here
Step-by-step explanation:
Let the angle of elevation be \thetaθ
\begin{gathered} \therefore \tan \: \theta = \frac{height \: of \: mast}{height \: of \: shadow} \\ \\ \therefore \tan \: \theta = \frac{44}{14} \\ \\ \therefore \tan \: \theta = 3.14285714 \\ \\ \therefore \: \theta = {\tan}^{ - 1} (3.14285714) \\ \therefore \: \theta = 72.349875765 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 72.35 \degree}}\end{gathered}
∴tanθ=
heightofshadow
heightofmast
∴tanθ=
14
44
∴tanθ=3.14285714
∴θ=tan
−1
(3.14285714)
∴θ=72.349875765°
∴θ=72.35°
Hence, angle of elevation of the sun is 72.35°.
a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.
Multiple regression is sometimes used in litigation. In the case of Cargill, Inc. v. Hardin, the prosecution charged that the cash price of wheat was manipulated in violation of the Commodity Exchange Act. In a statistical study conducted for this case, a multiple regression model was developed to predict the price of wheat using three supply-and-demand explanatory variables.Data for 14 years were used to construct the regression equation, and a prediction for the suspect period was computed from this equation. The value of R2was 0.989.
(a) The fitted model gave the predicted value $2.136 with standard error $0.013. Express the prediction as an interval. (The degrees of freedom were large for this analysis, so use 100 as the df to determine t*.)
(b) The actual price for the period in question was $2.13. The judge decided that the analysis provided evidence that the price was not artificially depressed, and the opinion was sustained by the court of appeals. Write a short summary of the results of the analysis that relate to the decision and explain why you agree or disagree with it.
Answer:
($2.123 ; $2.149)
Step-by-step explanation:
The prediction interval is expressed as :
Predicted value ± standard Error
Predicted value = $2.136
Standard Error = $0.013
Prediction interval :
Lower boundary = $2.136 - $0.013 = $2.123
Upper boundary = $2.136 + $0.013 = $2.149
($2.123 ; $2.149)
B.) The prediction interval provides a range for which the predicted value or price should fall Given a certain degree of probability. If the true value falls within this interval, then, our prediction would be deemed to have occurred not by chance.
Since the actual price within the predicted price interval, then I agree with the judge's Decison that the price was not artificially depressed.
If you have 440 red and blue buttons predict how many would be red.
Answer:
maybe 220/440?
Step-by-step explanation:
Answer mark me branlyist
Step-by-step explanation:
In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yellow tangs
Answer:
3/10 of the aquarium are yellow tangs.
Step-by-step explanation:
Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:
2/5 = 0.40
0.40 x 3/4 = X
1.20 / 4 = X
0.30 = X
0.30 = 3/10
Therefore 3/10 of the aquarium are yellow tangs.
⚠️PLEASEEEEE HELPPPPPP !!!
Answer:
38
Step-by-step explanation:
I'm pretty sure its just the same
Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"
Answer:
1. 15.7 in
2. 153.9 cm
Step-by-step explanation:
The circumference of a circle is found by the formula:
C = 2 * pi * r, where r represents the radius.
For the first circle, we substitute in 3.14 for pi and the given radius:
C = 2 * 3.14 * 2.5
C = 15.7 in
However, for the second circle, the diameter is given instead of the radius.
As the radius is just half of the diameter, we can find that it is 24.5 cm.
Substituting the values in, we get:
C = 2 * 3.14 * 24.5
C = 153.86 cm
Rounding to the nearest tenth gives us:
153.9 cm
Make sure to use the correct units for each question.
Yumiko Yoshida wants to pay his $1,058.90 annual premium monthly. What is his monthly payment?
2.6x + 10.5 = 31.3
I need help ASPAP!!
the answer is on the picture
Answer: x=8
Step-by-step explanation: Hope this help :D
Taylor has a set of 13 cards, labeled 1 through 13. If she chooses a card at random, what is the probability that the number on it is a prime number?
Answer:
B. 6/13
Step-by-step explanation:
No of sample space, n(s) = 13
Prime numbers
= ( 2 , 3 , 5 , 7 , 11, 13 )
No of favourable cases, n (e) = 6
Now
Probability that the number on it is a prime number is
P(E) = n(e) / n(s)
= 6/13
Hope it will help :)❤
I Bought 10 apples three days ago. 3 of them were rotten, I ate 2 and gave 5 away. How many apples do I have left?
I'll give you 30 points if you get this right. CHOOSE WISELY :)
Answer: 0
Step-by-step explanation: if you gave 5 away your left with 5 if 3 were rotten your left with 2 but you ate 2 meaning you have no apples left.