Answer:
Step-by-step explanation:
you need o solve 26=4+40t-16t^2
the equation becomes:
the equation becomes:-16t^2+40t+4-26=0
the equation becomes:-16t^2+40t+-22=0 or8t^2-20t+11=0
8t^2-20t+11=0, a=8 , b=-20 c=11 the discriminant =b^2-4ac=(-20)^2-4x8x11=48
t1=(20-squarootof48)/16 =13/16 =0.81 seconds t2=27/16=1.68 second I rounded my answers
What happens to the mean of the data set shown below if the number 20 is added to the data set?
A. The mean increases by 0.75.
B. The mean does not change.
C. The mean increases by 12.
D. The mean increases by 0.25.
Answer:
This shows that the mean increases by 2.95
Step-by-step explanation:
Assume the given data is 2, 5, 6, 8
Mean = 2 +5+6+8/4
Mean = 21/4
Mean = 5.25
If number 20 is added, the data becomes 2, 5, 6, 8, 20
New mean = 2 +5+6+8+20/4
New mean = 41/5
New mean = 8.2
Taking the difference in the mean:
Difference = 8.2 - 5.25
Difference = 2.95
This shows that the mean increases by 2.95
NB: The data used was assumed since we are not given any data in question
Answer:
The answer is A
Step-by-step explanation:
Exaluate: (4/9)^1/2.
Answer:
2/3
Step-by-step explanation:
We know that (a/b) ^ (1/2) is a^ (1/2) / b^ 1/2
( 4/9) ^ 1/2
4^1/2
-----------
9 ^ 1/2
2
----
3
What is the answer to this? Is it d?
Answer:
Step-by-step explanation:
yeah of course..your answer is true.. it's part d and there is no solution for that system...w and v both of them remove in solution of system and we don't have any unknown variable for solving.
9514 1404 393
Answer:
D. no solutions
Step-by-step explanation:
The first equation can be simplified to standard form:
0.5(8w +2v) = 3
4w +v = 3 . . . . . . . eliminate parentheses
__
The second equation can also be simplified to a comparable standard form:
8w = 2 -v +4w
4w +v = 2 . . . . . . add v -4w
__
Comparing these two equations, we find the variable expressions to be the same, but the constants to be different. If any set of variable values were to satisfy one of these equations, it could not satisfy the other equation. There are no solutions to the system.
Which equation can be used to find 60 percent of 50
Answer:
x = 0.6 * 50
Step-by-step explanation:
x = 60% of 50
x = 60% * 50
x = 0.6 * 50
Answer:
60% of 50 = 60 / 100 × 50 = ⅗ × 50 = 150 / 5 = 30
________
x% of y = x / 100 × y = xy / 100
Help me please! Parabola question
The parabola opens upward with the y- intercept being at y=7 (0,7) and the x- intercepts on x= -2,-4 / (-2,0), (-4,0). The axis of symmetry is on x=-3, and the vertex is on (-3,-1).
The length of a rectangle is 4 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer.
I need help with this
Answer:
sorry but I don't know the answer
Answer:
B. 0.30
Step-by-step explanation:
30/100 = 0.30
The area of rectangle is 105cm².If it length is 21 cm,what is its length and perimeter.
Answer:
length of other side is 5cm and the perimeter is 52
Step-by-step explanation:
The area is side x times side y.
Knowing that the area A is 105cm2 and side x is 21cm
A= x*y
105cm2= 21 y /21
Arranging for y we get
y= 105/21
y= 5 cm
The perimeter is all sides added up
P= 21+21+5+5=52cm
Answer:
length 5cm and perimeter 52 cm
Step-by-step explanation:
length=area/breadth
=105/21
=5 cm
perimeter=2(length+breadth)
=2(5+21)
=52 cm
what is the average speed for the interval t=1 hour to t=3 hours
Step-by-step explanation:
2 hours
3+1 / 2 = 4/2 = 2 hours speed average
Taree fourts of the 64 books were math books. determine the percent of the books that were math books.
Answer: 75% - these are books on mathematics.
Step-by-step explanation:
[tex]\dfrac{3}{4} \cdot 64 = 48\\[/tex]
64 - 100%
48 - x%
[tex]\dfrac{64}{100} =\dfrac{48}{x}\\\\x=\dfrac{48 \cdot 100}{64} \\\\x=75 \%[/tex]
Santos flipped a coin 300 times. The coin landed heads up 125 times. Find the ratio of heads to total number of coin flips. Express a simplified ratio
Answer:
5:12
Step-by-step explanation:
125:300 simplified = 5:12
I hope this helps
5. Sarah and Aarnav had a 3-layer wedding cake made for their wedding. Each layer was 6 inches in height. The lower layer had a diameter of 12 inches, while the middle layer had a radius of 5 inches. The top layer had a diameter of 8 inches.
a) Calculate the total volume of cake to the nearest cubic inch. (3 marks)
b) The baker who made the cake needed to calculate the total surface area of the outside of the cake to the nearest square inch to find out how much icing to buy. The baker will not be icing the bottom of any of the layers of cake. However, the baker will ice the top and sides of each layer separately and then stack the three layers of cake. Calculate the surface area of the cake that the baker plans to ice to the nearest square inch. (3 marks)
c) The baker bought the buttercream icing from Crave Cupcakes. Using your surface area calculation from part b, calculate how many containers of icing the baker needs to buy in order to ice Sarah and Aarnav’s cake. Each container of icing contains 16 ounces of icing. If it takes 56 ounces of icing to cover 678 square inches of cake, calculate the total cost for the icing before tax if each 16-ounce (2 cup) container of icing costs $10. (3 marks)
Answer:
Total volume of cake = 1452 cubic inches
Step-by-step explanation:
Each layer of the cake has a cylindrical shape, so that:
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
Where r is the radius and h represents the height.
i. For the lower layer;
h = 6 inches and r = 6 inches
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\frac{22}{7}[/tex] x [tex](6)^{2}[/tex] x 6
= 678.86 cubic inches
ii. For the middle layer;
h = 6 inches and r = 5 inches
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\frac{22}{7}[/tex]x [tex](5)^{2}[/tex] x 6
= 471.43 cubic inches
iii. For the top layer;
h = 6 inches and r = 4 inches
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\frac{22}{7}[/tex] x [tex](4)^{2}[/tex]x 6
= 301.71 cubic inches
Total volume of cake = 678.86 + 471.43 + 301.71
= 1452 cubic inches
The tiles below represent the polynomial 2x^2 + 7x+6.
What is the factorization of 2x^2 + 7x + 6?
A. (x+3)(x + 2)
B. (2x + 2)(x+3)
C. (2x+3)(x + 2)
D. (x+3)(x+6)
Answer:
C (x+2)(2x+3)
Step-by-step explanation:
You can count in the picture that in the top part there are two x's (2x) and three ones (3). So the top would be (2x+3)
On the left side there is one x (x) and two ones (2). It would be (x+2).
So combine them together, it would be (x+2)(2x+3).
C.
Answer:
answer is (2x+3)(x+2)
I hope this will help you
Counting numbers are to be formed using only the digits 1, 3, 7,5,4,8, and 2. Determine the number of different possibilities for two-digit numbers.
Answer:
11699 numbers and 42 two-digit numbers
Martinez' General Store is having a 45% off sale on men's clothing. John paid $70.95 for a jacket that was on sale. What was the original price of the jacket?
Answer:
$129
Step-by-step explanation:
We can use this equation:
x - 0.45x = 70.95
0.55x = 70.95
x = $129
9 bushes in 81 minutes , how much time taken per bush
Answer:
9
Step-by-step explanation:
9 bushes in 81 minutes.
Take 81, divide by 9, 81÷9 equals 9. 9 minutes are taken per bush.
Fond the square root of 169 by division method
Answer:
13
Step-by-step explanation:
square root of 169 is 13
Suppose taxi fares from Logan Airport to downtown Boston is known to be normally distributed and a sample of seven taxi fares produces a mean fare of $16.51 and a 95% confidence interval of [$15.96, $17.04]. Which of the following statements is a valid interpretation of the confidence interval??
a. 95% of all taxi fares are between $14.77 and $16.23.
b. We are 95% confident that a randomly selected taxi fare will be between $14.77 and $16.23.
c. The mean amount of a taxi fare is $15.51, 95% of the time.
d. With 95% confidence, we can report that the average taxi fare between Logan Airport and downtown Boston will fall between $14.77 and $16.23.
Answer:
The answer is "Option d".
Step-by-step explanation:
Please find the correct and complete question in the attachment file.
The taxis were known to also be uniformly distributed through the Logan airport to the city of Boston, as well as a sample of seven taxi rates gives an average of $15.51 for [$14.77 and $16.23] for a 95% trust interval. Having 95 percent confidence, we could give a valid interpretation of the confidence level for the averages taxi rates among both Logan Airport and Boston Centre.
So for this problem, I almost got it however my rounding is off causing my answers to be wrong. Can someone please help me with the two that are wrong. Thank you for your help!
Answer:
it 94x26.2 i think it right if not sorry :/
Step-by-step explanation:
Given b(x) = |x+4|, what is b(-10)?
-10
-6
6
14
Answer:
G(x)=lx+4l
G(-10)=l-10+4l
=l-6l
=6
Answer: 6
PLEASE HELP ME PLEASE AND BE CORRECT
Answer:
12 cm²
Step-by-step explanation:
area = L *B
a = 6 * 2
a = 12cm²
please help, it’s urgent ! :)
9514 1404 393
Answer:
[-4, -1)[-1, 1)[1, 5]Step-by-step explanation:
The numbers that describe the domain of the piece are the x-value at the left end and the x-value at the right end of each piece.
Piece 1 is defined between x=-4 and x=-1, so the interval is [-4, -1).
Piece 2 is defined between x=-1 and x=1, so the interval is [-1, 1).
Piece 3 is defined between x=1 and x=5, so the interval is [1, 5].
_____
Additional comment
The rounded bracket at the right end of the domain interval means the point is not included. The square bracket means the point is included. In general, you only want each x-value to have one corresponding f(x) definition, so it is usually not appropriate to include it as part of two different pieces of the piecewise function. [-4, -1) means -4 ≤ x < -1.
I need a hang here anyone if anyone can help
Answer:
Step-by-step explanation:
If you make x footballs, the cost per football is (30+3.5x)/x dollars.
If you make 1 football, the cost of the football is $33.50
A friend wants to buy a pool and has two places she wants to purchase the pool with the largest volume which pool should she buy a rectangular pool that is 20' x 15' in 54 inches deep or a cylindrical pool that has a 3.3 m radios and is 1.8 m deep
Answer:
20'×15 in 54 inches
Step-by-step explanation:
The Best as a pool should be rectangular in shape and 54inches deep for safety of life's
The volume of the rectangular pool that is 20' x 15' in 54 inches deep is largest.
What is the volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = [tex]\pi r^{2}[/tex]h
The volume of the cylindrical pool that has a 3.3 m radius and is 1.8 m deep is;
= [tex]\pi r^{2}[/tex]h
[tex]= 3.14 (3.3)^2 (1.8)\\\\= 61.55 m^3[/tex]
The volume of the rectangular pool that is 20' x 15' in 54 inches deep ;
V = 20 x 15 x 54
V = 16,200 cubic meter.
The volume of the rectangular pool that is 20' x 15' in 54 inches deep is largest.
Learn more about volume;
https://brainly.com/question/1578538
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Find the value of x in each case and give an explanation plzzz, thank youu :)
Answer:
Step-by-step explanation:
the arrows from the picture tells us that TV is parallel to RS
since TS is a transversal that cuts the 2 parallel lines TV and RS than ∠S =x
(alternate interior angles)
sum of angles in a Δ is 180° so x+x+2x = 180°, 4x =180°, x= 45°
2x = 45*2 = 90°
Is this relation a function?
Answer:
No
Step-by-step explanation:
Each "x" should have a corresponding "y" value. In this case, however, an x has two different y values which would not make this a function. You can check this through the vertical line test.
Answer ASAP
Will give brainliest!
More information pleaseeeeeeee
A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer. You do not want the vending machines to deliver too much or too little soup. How would you formulate this properly in hypothesis testing?a) H0 : µ >8b) H0 : µ =8c) H0 > 8d) None of these
Answer:
[tex]H_0: \mu = 8[/tex]
[tex]H_1: \mu \neq 8[/tex]
Step-by-step explanation:
A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer.
This means that the null hypothesis is that the mean is exactly 8, that is:
[tex]H_0: \mu = 8[/tex]
You do not want the vending machines to deliver too much or too little soup.
We don't want the mean to be different from 8, which means that the alternative hypothesis is given by:
[tex]H_1: \mu \neq 8[/tex]
By reporting only p-values, many scientific publications provide an incomplete story of their findings.
a. True
b. False
Answer:
a.
Step-by-step explanation:
The p-value is a measurement of the likelihood that a difference observed is due to a random chance or a sampling error. In an alternative way, the p-value of a study represents the probability or area under distribution for obtaining more radical outcomes whenever the null hypothesis is true.
Any observable change is deemed to be addressed by sampling variability if the P-value is greater than the selected alpha level. A statistical test will nearly always show a substantial difference with a suitably big sample unless there is no impact at all when the effect size is exactly zero.
As a result, simply reporting the P-value alone for a study is insufficient to fully validate the results and findings of scientific publications.
What is the distance between the points (5, 7) times
and (-3, 4) on the coordinate
plane?
Answer:
Answer:
Option B 8.54\ units8.54 units
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Let
[tex]\begin{gathered}A(5,7)\\E(-3.4)\end{gathered} [/tex]
substitute the values
[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]
[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]
[tex]dAB=\sqrt{73}=8.54\ units[/tex]
