Answer:
a) The Margin of Error = 0.26
b) The 99% Confidence Interval = ( 2.84, 3.36)
Step-by-step explanation:
a) Margin of Error
The formula for Margin of Error =
z × Standard deviation/√n
From the above question
The z score for 99% confidence interval = 2.576
Standard deviation = 0.72
n = Random number of samples = 50
Margin of Error =
2.576 × 0.72/√50
= 1.85472 /√(50)
= 0.2622970178
Approximately to 2 decimal places = 0.26
b) 99% Confidence Interval
= Mean ± Margin of Error
Mean = 3.1mm
Confidence Interval = 3.1 ± 0.26
3.1 ± 0.26
= 2.84
3.1 + 0.26
= 3.36
The 99% Confidence Interval = ( 2.84, 3.36)
What is (0.2 + -5) x (4.1) ?
Answer:
-19.68
Step-by-step explanation:
(0.2 + (-5) × (4.1)
-4.8 × (4.1)
-19.68
Answer:
-19.68
Step-by-step explanation:
(0.2 + (-5)) * (4.1)
(-4.8) * (4.1)
-19.68
When given the equation where you have to add a negative, it's similar to subtraction. Where the positive number will be subtracted from the negative number.
4. What is the factored form of the expression 49x2 + 20?
A (7x + 215)(7x - 2/5)
B (7x + 2iV5) (7x - 2i75)
C (7xi + 275) (7xi - 215)
D (7xi +2175) (7xi - 2175
The factored form of the expression would be; (7x + 2√5) (7x - 2√5)
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression form 49x² + 20
Therefore, 49 is a perfect square,
This expression could also be given as;
(7x)²- (2√5)²
Now, we know that:
a²- b² = (a + b) (a - b)
Now plug the values then we have:
(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)
Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)
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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ 49x² + 20
The expression can be written as,
⇒ 49x² - 20i²
Simplify the expression, then we have
⇒ 49x² - 20i²
⇒ (7x)² - (2i√5)²
⇒ (7x - 2i√5)(7x + 2i√5)
The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
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10
10
5
-10
0
10
-10
0
10
10
1.5
10
10
-10
Answer:
???????................ .mm
Answer:
???????................ .mm
Step-by-step explanation:
no clue what to do lol
Answer:
Thanks for the free points
Answer:
So, the answer for b is 20.
The way to figure this out is:
angle N is congruent to angle S
angle M is congruent to angle M
side NM is 10
because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)
Hope that helps! Let me know if it does! ;P
( use elimination) on 3x+5y=12 and x-3y=4
Answer:
x=4 y=0
Step-by-step explanation:
3x+5y=12
-(x-3y=4)
3x+5y=12
3(-x+3y=-4)
3x+5y=12
-3x+9y=-12
14y=0
y=0
Then, substitute the y into the equation to find x
x-3(0)=4
x=4
Holly stops to drink 5 ounces of water every two miles she
runs. The further that Holly runs, the more she drinks water.
Complete the table by writing two equivalent ratios
Answer:
the amount of water she drinks is x, the mileage is y:
x y
2 miles 5 oz
4 miles 10 oz
6 miles 15 oz
the ratios would be 4/10 and 6/15
Step-by-step explanation:
for every 2 miles Holly runs, she drinks 5 oz of water, right? the ratio is 5:2, so if you were to come up with other numbers that match the ratio, they have to be divisible by the parts of the ratio. so if she runs 2 miles, she drinks 5 oz. if she runs 4 miles, then she drinks 10 oz.
think of a ratio like a fraction (in this case it would be 2/5). if you were to make equivalent ratios, then the two fractions would have to be equal, right? well, when you simplify all of the numbers listed in the table above after making them into fractions, they would all go back to 2/5, so the numbers i came up with above are equivalent ratios, meaning they have the same value when simplified.
hopefully that helps and isn't too confusing! if you need other help, let me know! :)
The cheerleading squad sold 480 spirit ribbons, collecting a total of $360.00. What was the cost of each ribbon?
Answer:
1.33
Step-by-step explanation:
480 divided by 360 gets you 1.33
Answer:
Each ribbon costs $0.75.
Step-by-step explanation:
All you need to do solve the problem is divide 360/480 = 0.75.
To check your answer, multiply 0.75 by the number of ribbons sold:
0.75 x 480 = 360
I hope this helped! If it did, please consider rating my answer and pressing thanks. Have a fantastic day!
In the equation 9x2 - 4 = (px - t)(px + t), p and t are constants. What is the value of p + t?
Answer: 2
Step-by-step explanation:
Last one I need help on, I'm in 4th and on my sisters account she's at school, I will give brainliest if it's correct
2 1/4 x 1 1/3 = 9/4 x 4/3 = 3/1 x 1/1 = 3/1 or 3
Key: Keep, change, flip
Answer:
2 4/12 or if simplified 2 1/3
Step-by-step explanation:
help please please
If i just knew the answer i would tell you buti dont know sorrry
Answer:
1. A. 9
B. - 51
2. A. (-3,2)
B. (5,-2)
3. A. (11,-3) B. (11,1) C. They have the same x
What is the discounted price of a $150 gaming chair with a discount of
15%?
2 (4x-2)- 5x=-18
HELP!!
Answer:
x = -14/3
Step-by-step explanation:
2 (4x-2) - 5x = -18
8x - 4 - 5x = -18
8x - 5x = -18 + 4
3x = -14
x = -14/3
I'm not sure if this is what you were asking for but, ya..
Help me please......
Answer:
Approx. 73°
Step-by-step explanation:
4 out of 5 dentists prefer Crest. If they asked 30 dentists what tooth paste they prefer, how many did NOT PREFER Crest.
Answer:
24 would prefer CREST
6 woul NOT prefer Crest
Step-by-step explanation:
4:5=x:30
A baker in 70 minutes iced 40 cupcakes and in 49 minutes he iced 28 cupcakes what is the constant of proportionality? express your awnser in decimal form.
Answer:
1 cupcake is made in 1.75 minutes.
1.75 minutes
Step-by-step explanation:
Divide 70 by 40 = 1.75.
49/28=1.75
The constant of proportionality of the given data is 0.57.
What is constant of proportionality?The constant of proportionality is the ratio of two proportional values at a constant value.
Now it is given that,
Time taken for icing 40 cupcakes = 70 minutes
∴ Icing of cupcakes in 1 minute = 40/70
= 0.57
Time taken for icing 28 cupcakes = 49 minutes
∴ Icing of cupcakes in 1 minute = 28/49
= 0.57
⇒ constant of proportionality = 0.57
Thus, the constant of proportionality of the given data is 0.57.
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how to turn a fraction into a decimal, help
A fraction is really just another way to write a division problem without dividing. So all you have to do is divide, then round to whichever decimal place your teacher wants.
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.
Answer:
So he can buy 15 + he will have on his card left 0.65$
Step-by-step explanation:
20 / 1.29 = 15 song's
20 - 19.39 = 0.65
So he can buy 15 + he will have on his card left 0.65$
the person above me is correct.
What fraction is 20 min of 3 hours? Answer in simplest form
Answer:
1/9
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (3,8) and (1,-2)
Step-by-step explanation:
let eqn be y = mx + b.
m = (-2 - 8)/(1 - 3) = 5
sub (3, 8):
8 = 5(3) + b
b = -7
therefore equation of the line is y = 5x - 7
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:y = 5x - 7
Step-by-step explanation: /
please help i am desperate.
Answer:
3y +9 = perimeter
Step-by-step explanation:
Answer:
4y+9
Step-by-step explanation:
To find the perimeter , you have to add up all the 4 sides
so y + y+2 + y+4 + y+3 = 4y+ 9
hope it helps
How much money must be deposited to earn $219 in simple interest in 8 years at an annual rate of 6.2%?
Answer: $1,147.20.
Step-by-step explanation:
The total amount accrued for principal plus interest in the calculation simple interest
= principal * (1+ rate * number of years)
= $800 *(1+ 6.2% * 7)
= $1,147.20.
Hopefully his helped, if not HMU and I will try my best to get u a better answer! :)
!!20 POINTS!! BRAINLIEST TO CORRECT ANSWER!!
Select the correct answer.
Which ratio is equal to 27:81?
А.1:9
B.2:9
C.3:9
D. 3:27
E.9:12
Answer:
3:9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
27:81
= 27/81
=3/9
=3:9
it could be reduced to 1:3 but because the alternatives does not include, it 3: 9
please reward me by marking me as the brainliest.
I give Brainliest!
Determine whether the following statements are sometimes, always or never true.
Equilateral triangles are also right triangles.
All angles of an equilateral triangle are congruent.
Answer: Equilateral triangles are also right triangles sometimes. All angles of an equilateral are congruet sometimes.
given f(x)=x^2-3x+10 find f(-2)
Answer:
there is the answer....
...
Tell whether the lines through the given points are parallel, perpendicular or neither. You must have a work that supports your answer
due in 5 minutes
Who would have first made this statement while observing cork under a microscope?
"The cork looks like little rooms, or cells.”
A Hooke
B Schleiden
C Leeuwenhoek
D Virchow
Answer:
Hooke
Hope This Helps!
Answer:
Hooke
Step-by-step explanation:
pls dont get mad if im wrong im just here to help :)
“Explain or show why 4:3 and 3:4 are not equivalent ratios.” Pls this is due today at 12:00 p.m
find the value of x , this like similar right triangles and geometric means and stuff
Answer:
16
Step-by-step explanation:
We can calculate the value of x using Euclidean theorem
15^2 = 9 × (x+9)
225 = 81 + 9x subtract 81 from both sides
144 = 9x divide both sides by 9
16 = x
Yoko is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $40.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Yoko has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 18 weeks.
Answer:
s=40w+350; s=$1,070
Step-by-step explanation:
Our equation looks like this:
s=40w+350
Next we plug in 18 for w, our number of weeks.
s=40(18)+350
Multiply the 40 and 18.
s=720+350
Add the 350 and 720.
s=1,070
Add a dollar sign to say that the amount is in dollars.
s=$1,070
HTH :)
The equation relating the total amount of money in the savings account, S and the number of weeks Yoko has been adding the money, W is given by S = 350 + 40W.
Total amount of money in the savings account after 18 weeks is
What is an Equation?An equation is a statement in mathematics which includes two algebraic expressions or numbers relating with an equal sign.
There are left hand side and right hand side for every equation and may or may not include variables.
S is the total amount of money in the savings account of Yoko.
W is the number of weeks Yoko has been adding money.
Initial money = 350
After 1 week total money = 350 + (1 × 40)
After 2 weeks, total money = 350 + (2 × 40)
It goes on like this until the last week.
So after W weeks total money = 350 + (W × 40)
Total amount of money in the savings account after W weeks, S = 350 + 40W.
After 18 weeks, S = 350 = (40 × 18) = $1070
Hence the equation relating W and S is, S = 350 + 40W.
Total amount of money after 18 weeks = $1070
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What is the solution to this equation?
X-15
5
O A. x=3
O B. x = 10
O C. x= 20
O D. x = 75
