Answer:
Explained below.
Step-by-step explanation:
The information provided is as follows:
[tex]\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9[/tex]
(1)
A single mean test is to be performed in this case.
As the population standard deviation is not provided, a one-sample t-test will be used.
The correct option is b.
(2)
The null hypothesis is:
H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.
The correct option is b.
(3)
The alternative hypothesis is:
Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.
The correct option is c.
(4)
The standard deviation of the sample mean is as follows:
[tex]SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F[/tex]
Thus, the value of SD is 0.3°F.
(5)
Compute the value of test statistic as follows:
[tex]t=\frac{\bar x-\mu}{SD_{\bar x}}[/tex]
[tex]=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67[/tex]
Thus, the value of test statistic is -1.67.
(6)
The degrees of freedom of the test are:
df = n - 1
= 9 - 1
= 8
Thus, the degrees of freedom of the test is 8.
Testing the hypothesis, it is found that:
1. e. a t-test because the SD of the population is unknown.
2. B. That the average temperature in the population is 98.6.
3. C. That the average temperature in the population is less than 98.6.
4. The standard error is of 0.3.
5. The test statistic is t = -1.67
6. There are 8 df.
We have the standard deviation for the sample, hence, a t-test should be used.
At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.
At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.
In this problem:
The standard deviation of the sample is [tex]s = 0.9[/tex]The sample has 9 adults, hence [tex]n = 9[/tex]The sample mean is of [tex]\overline{x} = 98.1[/tex]The standard error is of:
[tex]s_e = \frac{0.9}{\sqrt{9}} = 0.3[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 98.6[/tex] is the value tested at the null hypothesis, hence:
[tex]t = \frac{98.1 - 98.6}{0.3}[/tex]
[tex]t = -1.67[/tex]
The amount of degrees of freedom is one less than the sample size, hence there are 8 df.
A similar problem is given at https://brainly.com/question/13873630
What are the domain and range of the function f(x)=3x-1 /2
Answer:
f(x)=3x−1
2
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(-∞,∞)
Set-Builder Notation:
{x|x∈R}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{y|y∈R}
Determine the domain and range.
Domain:
(−∞,∞),{x|∈R}
Range:
(−∞,∞),{y|y∈R}
HELP!!! WILL MARK BRAINLIEST!
SHOW YOUR WORK OR I WILL NOT GIVE BRAINLIEST
Answer:
4 inches
Step-by-step explanation:
hi! so there are 64 cubes with 1 inch side lengths. if we are trying to fill a container which is the size of a cube, we must take the cube root of 64, which is 4. this is because 4*4*4 is 64, and we are using cubes to fill up a larger cube. this means that there are going to be 4 1-inch cubes on each side of the larger cube. when filling this up, the volume is 64 cubic inches, which makes sense because of the 64 smaller 1-inch cubes. im not 100% sure by what you mean by "edge length", but if it is the normal length of the cube, the answer is 4 inches because the cube root of 64 is 4. however, if you are talking about the diagonal from edge to edge, you have to split up a 4 by 4 square into two congruent triangles by putting a diagonal line down the middle, and use the pythagorean theorem to find the length of the diagonal.
4^2+4^2=c^2
16+16=sqrt 32
sqrt 32
if this is the case, sqrt 32 inches is the answer.
hope this helps!
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
[tex]\boxed{4}[/tex] 4 inches is the edge length of the container.
➷ [tex]a = 1[/tex] inch
➷ [tex]v = a^3 = (1inch)^3 = 1inchs^3[/tex]
➷ Length of the big cube = A
Volume of the big cube = V
➷ [tex]V = A^3[/tex]
✽ he uses 64 cubes with side lengths of 1 inch to completely fill the container.
[tex]V = 64 \times v = 64 \times 1inches^3[/tex]
[tex]A^3 = 64 \times 1inches^3[/tex]
[tex]A = 4inch[/tex]
Hence, The edge length of the container is 4.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
One loop around the park is Three and three-fourths miles. How far did Alyssa run if she ran Two-thirds of the way around the loop?
Step-by-step explanation:
One loop= 3+3/4= 15/4 miles
Two-third of the loop= 2/3*(15/4)
= 5/2 = 2.5 miles
Hope it helps :)
Answer:
Hi There!
Your answer is:
Alyssa ran 2 and a half miles if she ran 2/3rds of the loop.
Step-by-step explanation:
1 loop= 3 & 3/4ths miles
WE NEED: 2/3rds of a loop
1 loop/ 3 = 3& 3/4ths miles /3
CHANGE MILES TO IMPROPER FRACTION!
1/3 loop = 15/4ths divided by 3
Multiply 15/4ths by the inverse of 3
15/4ths * 1/3 = 15/ 12
SIMPLIFY
1 & 3/12 or 1& 1/4
1/3loop = 1 & 1/4th mile
To get 2/3rds loop, multiply both sides by 2
2/3rds loop = 2 & 1/2 Miles
Hope this helps
Can someone help me on 4 and 5? I would appreciate it so much
Answer:
5. 12 : 3 is equivalent 4 : 1
If a,b,c,d, and e are non negative such that x^6-289x^4-x^2+289=(x-a)(x+b)(x_c)(x+d)(x^2+ex+1), what is the value of a+b+c+d+e?
Answer:
36
Step-by-step explanation:
Hello,
If [tex]X=x^2[/tex] it becomes
[tex]X^3-289X^2-X+289=(X^2-1)(X-289)[/tex]
and [tex]289=17^2[/tex]
[tex]X^2-1=(X-1)(X+1)=(x^2-1)(x^2+1)=(x+1)(x-1)(x^2+1) \\\\x^2-289=x^2-17^2=(x-17)(x+17)[/tex]
So,
[tex]x^6-289x^4-x^2+289=(x^2-1)(x^2+1)(x^2-289)=(x-1)(x+1)(x+17)(x-17)(x^2+1)[/tex]
a = 1
b = 1
c = 17
d = 17
e = 0
Then a + b + c + d + e = 36
Thanks
What does “of” mean in math
Answer:
multiplying
Step-by-step explanation:
Which of the following have a value equal to |37|? Select all that apply.
A. -37
B. 1-371
C. 0
D. -(-37)
E. 37
Answer:
a and e
Step-by-step explanation:
Answer:
A, D, and E
Step-by-step explanation:
James planted 195 flowers in 3 days. There were 4 volunteers, including James, who each planted the same number of flowers. About how many flowers did they plant altogether?
Answer:
About 780 plants
Step-by-step explanation:
195 flowers*4 volenteers=780 plants
Mountain bike is priced at 413 if he sells tax is 6.5% what is a constant purchase a mountain bike round to the nearest cent if necessary
Answer:
Mountain bike is priced at 413 if he sells tax is 6.5% what is a constant purchase a mountain bike round to the nearest cent if necessary
Step-by-step explanation:
it is 439.85
6n + 12 what kind of property is it ?
Answer:
Subtractive property of equality
Subtractve property i think
Identify the line of reflection,
PLEASE HELP ITS DUE IN 3 minutes!!!
Answer:
X=2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
1,826.5 divided by what equals 18265
Answer:
33361022.5
Step-by-step explanation:
2. A student measured the mass and volume of three different-sized samples of sand. He then calculated the
density of each sample. His results are shown below.
Sand Sample
1
2
3
Mass (8)
10
15
20
Volume (ml)
4.5
5.6
6.7
Density (g/mL)
2.2
2.7
3.0
How do you know just by looking at the "Density" column that the student made errors in his investigation?
9514 1404 393
Answer:
we expect the results to have less spread
Step-by-step explanation:
The spread between the maximum and minimum is almost 1/3 of the average of those values (0.8 vs 2.6). We expect repeated measurements of the same physical value to be well within 5% of their mean if they are done carefully.
The investigation has errors because the spread is too great.
Help me for free brainlyist
Answer:
30. 5 and 6
31. about 7 feet
32. E
33. 7 and 8
34. 111
Answer:pappy happy jigen
Step-by-step explanation:
Henry's Jewelry Store receives a shipment of 500 jewelry pieces.At this rate.If Henry's Jewelry Store places an order for 5,500 jewelry pieces,how many should they expect to be damaged. They should expect blank pieces of jewelry to be damaged.
Answer:
11
Step-by-step explanation:
13. The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
6. If Stacey bought 48 ounces of grapes,
how many pounds did she buy? Shiw your work
A 2 pounds
© 4 pounds
B 3 pounds
D 6 pounds
Answer:
b
Step-by-step explanation:
Paige bought a handbag for $49.75. Nevaeh spent 2.5 times more on her handbag, while Naomi spent 3.5 times more than Paige on her handbag. How much total money was spent on the three handbags?
Answer:
Total money: $348.26
Step-by-step explanation:
Paige: $49.75
Nevaeh: 2.5*$49.75
Naomi: 3.5*$49.75
2.5*49.75 = 124.38
3.5*49.75 = 174.13
(I rounded the cents up.)
124.38
174.13
+49.75
$348.26
Hope this helps!! Have an awesome day C:
Can someone please help, ty!!
(Will mark brainliest)
Step-by-step explanation:
y-y1=m(x-x1). m=8/3 and x1=5 and y1=3
y-3=8/3(x-5)
3*(y-3)=8(x-5)
3y-9=8x-40
8x-3y=40-9
8x-3y=31
so is the third
1.) Expand and simplify (6x-7)+(x-3)+(4x-5) *
a.)11x-5
b.)11x-15
c.)10x-15
d.)10×1
Answer:
the answer is b 11x-15
Step-by-step explanation:
your collecting like terms then combining them
What is the domain of the equation y = 2/5x - 4?
Answer:
domain= {x/x€R/x≠0}
Step-by-step explanation:
The domain of the equation y = 2/5x - 4 is all the real values of x.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given equation is,
y = 2/5x - 4.
The graph of the given equation is given below.
Since, the domain of the function is all the values of x,
For the given function, the values of x varies from -∞ to +∞.
Implies that, the value of x is the real value.
Therefore, the domain of the given equation is all real values.
To know more about Function on:
https://brainly.com/question/2411204
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If you were to measure a person once a year, every year, from the ages of ten to twenty-five, would your ordered pairs of age and helght represent a function? по O yes
7.2 7.21 7.083 least to greatest
Answer:
7.083,7.2,7.21
Step-by-step explanation:
Use graphing technology to find the range of the function f(x)=-x^2+6x-3
Answer:
The range of the function is [-∞,6]
Step-by-step explanation:
Range of a Function
It's the set of values the function takes when x moves into the function's domain.
It can be graphically determined by placing imaginary horizontal lines from minus infinite to plus infinite. Where the line meets the function, that value of y belongs to the range.
The given function is:
[tex]f(x)=-x^2+6x-3[/tex]
Using a graphing tool, we draw the graph shown in the image below.
It can be clearly seen that if we imagine horizontal lines from above y=6 to infinity, they won't ever touch the graph of the function. From y=6 and below, every horizontal line will touch the function one time or twice.
We can conclude the range of the function is [-∞,6]
the question is provided in the picture, giving 50 POINTS, mark BRAINLIEST
Answer:9/10
Step-by-step explanation:You find the square root for 81 and 100. Once you find the square root of 81 you get 9 and 10 for 100.You do this for all fractions.Hope this helps! :) I meant a smiley face
Answer:
[tex]\frac{9}{10}[/tex]
I hope this helps!
I need help with this math question!!! Thank you in advance
Answer:
Pretty sure answer is D.
Step-by-step explanation:
Hope this helps!
Answer:
I believe it's A.
Step-by-step explanation:
If I'm not correct tell me.
One student began to factor 40 as 4×10. Another student began with 2×20. Will they get different answers? Explain
Answer:
Yes because 4x10 and 2x20 are both two different equations/
Step-by-step explanation:
Answer:
They will get the same answer
Step-by-step explanation:
40 = 4*10 = 2*2 * 2*5
40 = 2*20 = 2 * 4*5 = 2 * 2*2*5
Round the product of 645.99 and 0.125 to the nearest tenth?
Answer:
646.0 and 0.1 but you might have to keep the second one the same .125
Step-by-step explanation:
The nearest tenth is the number behind the decimal, and the number in the hundredths place is what you use to see if where to round it. If it is 4 or less keep it the same it it is 4-9 change is up by one.
EX: 1.58 you would round it to 1.6 because the number in the hundredths place is bigger than 4 so you up the number in the tenths place one.
The product of 645.99 and 0.125 would be 80.7 which is rounded to the nearest tenth.
What is the round to the nearest tenth of a number?The decimal point is followed by the number that is closest to the tenth, and the hundredth place number is used to determine whether or not to round the number. If it is four or fewer, leave it alone; if it is four to nine, move it up one.
We have to determine the product of 645.99 and 0.125
⇒ 645.99 × 0.125
⇒ 80.74875
Rounded to the nearest tenth, we get
⇒ 80.7
You would diminish the number in the tenth place by one because the number in the hundredth place is less than 5, thus you would round it to 80.7.
Therefore, the product of 645.99 and 0.125 would be 80.7 which is rounded to the nearest tenth.
Learn more about the round to the nearest tenth of a number here:
https://brainly.com/question/19031319
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Johnathan bought a new computer for $1,716 using the electronics store’s finance plan. He will pay $143 a month for 12 months. What equation can he use to find out how much money he still owes after each month of the plan?
Answer:
1,1716 + 143(12)
Step-by-step explanation:
i believe that is correct hope I helped you!
simplify (7x)*exponent 2*
Answer:
49 x^2
Step-by-step explanation:
Simplify the following:
(7 x)^2
Hint: | Distribute exponents over products in (7 x)^2.
Multiply each exponent in 7 x by 2:
7^2 x^2
Hint: | Evaluate 7^2.
7^2 = 49:
Answer: 49 x^2