Answer:
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an [tex]\alpha[/tex] level of [tex]\frac{1 - 0.95}{2} = 0.025[/tex], thus, we have [tex]t_{(0.025,15)}[/tex]
The margin of error is of:
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have [tex]s = 50,n = 16[/tex]. So
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{\sqrt{16}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{4}[/tex]
Upper bound:
The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex]
And the correct answer is given by option c.
If the length of a rectangle is 1 cm more than three times the width and if the perimeter of the rectangle is 34 cm what is the dimension of the rectangle
Answer:
width: 4cm
length: 13cm
Step-by-step explanation:
Let the width of the rectangle be w. From the problem, we can infer that the length would be equal to 3w + 1. The formula for the perimeter of a rectangle is:
P = 2(l + w)
where P is the perimeter, l is the length, and w is the width.
We can substitute our values into the equation:
34 = 2(3w + 1 + w)
17 = 3w + 1 + w
17 = 4w + 1
16 = 4w
w = 4
We can substitute this into the length:
3w + 1
3(4) + 1
12 + 1
13
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
Answer:
(Thanks) it's A because the limit is in the same place on both graphs. The filled-in dot doesn't affect the limit at all, it just means the "real" value of x=-4 is 8, but the "limit" is still at 5 either way.
HURRY what is 1+1 please hurry
The mean temperature for the first 7 days in January was 6 °C.
The temperature on the 8th day was 3 °C.
What is the mean temperature for the first 8 days in January?
Answer:
GIME SOME POINTS
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is 4.5
The equation y-7/2=1/2(x-4) is written in point-slope form. What is the y-intercept of the equation
i need help pls!
this test is about angles, and i am having trouble with it.
Answer:
x = 9
Step-by-step explanation:
congruent angles have the same measure as each other
so;
4x + 14 = 6x - 4
(rearrange)
14 + 4 = 6x - 4x
(solve)
18 = 2x
(simplify)
18 divide 2 = 9
so;
9 = x
Solve for x.
18x - 12
16x +8
x = [?]
Answer: x = 10;
Both the angles are congruent, therefore;
8x - 12 = 6x + 8
=> Now subtract 6x from each side of "="
2x - 12 = 8
=> Add 12 to each side;
2x = 20
=> Lastly divide each side by 2;
x = 10
Hope this helps!
Answer:
10
Step-by-step explanation:
From the image provided, it shows that both 8x - 12 would equal 6x + 8 because their angles are the same due to their placement. With that it turns into 8x - 12 = 6x + 8. Then you can simplify to 2x = 20 by adding 12 to both sides, and subtracting 6x. Then 20 divided by 2 to get x by itself equaling 10.
y=25 is a solution to the inequality y−24<16
Answer:
The answer should be true.y<401<16Step-by-step explanation:
To solve this inequality, isolate the term of y from one side of the equation.
y-24<16
First, add 24 from both sides.
[tex]\sf{y-24+24<16+24}[/tex]
Solve.
Add.
[tex]\sf{24+16=40}[/tex]
[tex]\large\boxed{y<40}[/tex]
Therefore, the solution is y<40.
y=25 should be subtract by 24 is less than 16.
25-24<16
Solve.
Subtract.
25-24=1
Rewrite the problem down.
1<16
These statements are true.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{We know that }<\large\text{ is less than and }> \large\text{ is greater than.}[/tex]
[tex]\large\text{If y = 25, then substitute it into the given equation or inequality.}[/tex]
[tex]\mathsf{\underline{25}-24<16}[/tex]
[tex]\mathsf{25-24=\bf 1}[/tex]
[tex]\large\text{16 is \underline{greater than} 1 but 1 is \underline{less than} 16}[/tex]
[tex]\mathsf{1<16}[/tex]
[tex]\boxed{\boxed{\large\text{Therefore, your answer is: \boxed{\mathsf{\bold{1<16}\ \& \ it \ is \bold{\ TRUE}}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which of the following, to the nearest tenth, is a solution of f(x) = g (x) if f (x) = in (x + 5 ) - 1 and g(x) =x^3 - 2x+1
A) 0.5
B) -1.6
C) -2.3
D) 1.9
Answer:
c
Step-by-step explanation:
I need the answer don’t mind the shaded one≅
Answer:
i think it's solar
Step-by-step explanation:
okayyyyyyyyyyyyyyyyy
Answer:
solar
Step-by-step explanation:
oil ,coal and natural gas are fossil fuels
jannie has 2 liters of orange squash she also has some empty cups One full Beach club holds 30 mL of orange squash jennine files as many cups as possible How much orange squash does janine have after filing as many cups as possible
Answer:
The question is a bit incorrect as there isnt mentioned how many cups are there.But if you meant how many 30ml cups can Jannie fill it would be 66.66 cups or 67/66 cups .
Step-by-step explanation:
If you would correct your answer I would try my best to give you the brainliest answer.
Round 89.288 to the nearest tenth
Answer:
89.3
Step-by-step explanation:
89.288
Eight is greater than five so we add 1 to the underlined number
Suppose a person offers to play a game with you. In this game, when you draw a card from a standard 52-card deck, if the card is a face card you win "$2, and if the card is anything else you lose $1". If you agree to play the game, what is your expected gain or loss (in dollars) per game? (Recall that there are 12 face cards in a standard 52-card deck. Round your answer to two decimal places.) $
Answer:
Your expected loss per game is of $0.31.
Step-by-step explanation:
In a standard 52-card deck, we have that:
There are 12 face cards.
What is your expected gain or loss (in dollars) per game?
12/52 probability of winning $2.
1 - 12/52 = 52/52 - 12/52 = 40/52 probability of losing $1. So
[tex]E = \frac{12}{52}*2 - \frac{40}{52}*1 = \frac{24 - 40}{52} = -\frac{16}{52} = -0.31[/tex]
Negative, so a loss is expected.
Your expected loss per game is of $0.31.
Determine ſ(2) where f(x) =x+1/4x-2
juan creates a new recipe for brownies. For each pan of brownies, he adds 7 dashes of cinnamon. How many dashes of cinnamon will he use for 8 pans of brownies?
Answer:
56 dashes of cinnamon
Step-by-step explanation:
7 dashes of cinnamon = 1 pan of brownies
And we need to make 8 pans of brownies so...
7 dashes of cinnamon x 8 pans of brownies = 56 total dashes of cinnamon :)
4×103 times what number is equal to 16×105?
Answer:4.077669903
Step-by-step explanation:
4×103 is 4.04 times the 16*105.
What is Algebra?Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.
Let us consider the number be 'x'.
So, 4*103 of x = 16*105
x= 16*105/4*103
x= 4*1.01
x= 4.04
Hence, the number is 4.04.
Learn more about concept here:
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What is the simplest form of each espression
Answer:
Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. The process entails collecting like terms, which implies adding or subtracting terms in an expression.
Guys Whats is 4+1037+76 I'll give branliest no calculator no search only brain all of u I eill give brainliest please help me
[tex]\huge \pink\star\huge{ \pink{\bold {\underline {\underline {\red{Answer }}}}}} [/tex]
➭Doing it all using mental math
Step 1:[tex] 1037 + 4 \\ =1041[/tex]
Step 2:[tex]1041 + 76 \\ = 1117[/tex]
Martha kicks a soccer ball
Answer:
I kick it back Martha :).......
Henry is fishing from a small boat. His fishing hook is in the water 8 meters directly below his boat. A fish is swimming at the same depth as the hook, however it is 15 meters away from the hook. What is the shortest distance between Henry and the fish?
Answer: 17
Step-by-step explanation:
HELP Help HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
increasing
Step-by-step explanation:
Triangle ABC is shown
What is the measure of xº?
Help!
Answer:
answer is C
hope it is helpful..
9514 1404 393
Answer:
C. 36°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
x° +2x° +72° = 180°
3x° = 108° . . . . subtract 72°
x° = 36° . . . . divide by 3
What is the value of the hypotenus?
Answer:
Step-by-step explanation:
convert (-2,2) into equivalent polar coordinates
Use the formula R = log I, where R is the measurement of the Ritchter scale and i is the intensity, to find the Ritchter scale measurement of an earthquake with intensity 24,000,000. NO LINKS!!!
9514 1404 393
Answer:
7.4
Step-by-step explanation:
Put the given value into the formula and do the arithmetic.
R = log(2.4×10^7)
R ≈ 7.3802 ≈ 7.4
The earthquake is about 7.4 on the Richter scale.
Complete the square
to find the vertex
of this parabola.
2
x - 4y-12 x +68=0
Answer: (6,8)
Step-by-step explanation:
Answer:
(6, 8)
Step-by-step explanation:
What is the exponential regression equation for the data set?
yˆ=1.08⋅32.11x
yˆ=(1.08⋅32.11)x
yˆ=32.11⋅0.08x
yˆ=32.11⋅1.08x
Answer:
yˆ=32.11⋅1.08x
Step-by-step explanation:
just took the test
Option: A is the correct answer.
The quadratic regression equation for the data set is:
A. y = 0.056x²+1.278x-0.886
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
We are given a set of data value as:
x y
3 3.45
5 6.9
6 8.79
8 12.91
10 17.48
12 22.49
15 30.85
On plotting these points on a scatter plot we see that the line that best fits these data points is a parabola i.e. the equation is a equation of a quadratic function.
The equation of the line of best fit is:
y = 0.056x²+1.278x-0.886
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in 5 games a basketball team scored 82, 42, 75, 97, and 86 points
what is the *median* of the scores? Type your answer below RIGHT NOW
Answer:
86
Step-by-step explanation:
Once you put the numbers in correct order, 86 would be in the middle making it the median.
ILL GIVE BRAINLIEST
Carl wants to prove that if a line is parallel to one side of a triangle, then it divides the other two sides
proportionally.
Select the appropriate rephrased statement for Carl’s proof.
Choose 1 answer:
A.) In UVW, if XY || then UX/XV= UY/ YW.
B.) In UVW, if UX/XV=UY/YW, then XY || VW.
C.) In UVW, if XY || VW, then UX/XV= XY/WV.
D.) In UVW, if UX/XV = XY/WV, then XY || VW.
Answer:
A. is the appropriate answer to carl's proof
In UVW, if XY || VW then UX/XV= UY/ YW. Then the correct option is A.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Carl wants to prove that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.
We know that if two triangles are similar, then the ratio of the corresponding sides will remain constant.
Let the triangle UVW and XY is parallel to the side VW.
Then the triangle UVW and UXY will be similar triangle.
Then the ratio of their corresponding sides will be
UX / XV = UY / YW
In UVW, if XY || VW then UX/XV= UY/ YW.
Then the correct option is A.
More about the triangle link is given below.
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One spinner is divided into three equal sections numbered 1 to 3. A second spinner is divided into six equal sections numbered 4 to 9. How many total outcomes are there if both spinners are spun?
○ 9
○ 12
○ 18
○ 27
Answer:
The numbers do not matter. There are 3 outcomes for the first spinner and 6 outcomes for the second. 6x3 is 18. For each of the 3 outcomes for the first spinner there are 6 for the second.
1,4
1,5
1,6
1,7
1,8
1,9
2,4
2,5
2,6
2,7
2,8
2,9
3,4
3,5
3,6
3,7
3,8
3,9
Answer:
18
Step-by-step explanation:
The first spinner has 3 outcomes; the second spinner has 6 outcomes independent of the first spinner's outcome. In other words, what happens to the second spinner has nothing to do with the outcome of the second spinner. There are 3 x 6 = 18 possible outcomes for both spinners.
Here's a complete list of outcomes (see the attached image).