Answer:
52 dollars.
Step-by-step explanation:
2 ounces = 6.50
÷2 ÷2
1 ounce = 3.25
3.25 x 16 = 52 dollars.
Answer:
52 dollars per pound
Step-by-step explanation:
We can write a ratio to solve
6.50 dollars x dollars
------------------- = ------------------
2 ounces 16 ounces
Using cross products
6.50 * 16 = 2x
Divide each side by 2
6.50 *16/2 = x
52 =x
Which function has a domain and range that includes all real values?
Answer:
the third one
the line extends in both ways forever
Does the graph represent a function and if so, why?
A) Yes, there is more than one ordered pair in this list.
B) Yes, no two sets of ordered pairs occupy the same location.
C) No, some of the ordered pairs in this list have the same second element.
D) No, some of the ordered pair in this graph have the same first element.
Answer:
D
Step-by-step explanation:
if you draw any vertical line through a function it should have a max of one intersection point so if the graph, reading from left to right doubles back on itself, it is not a function
Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk. The mixture should contain ___ quarts of the 4% butterfat milk.
Answer:
50
Step-by-step explanation:
The amount of 4% butterfat milk is equal to x quarts , When 1% butterfat milk is equal to 75-x. The amount of butterfat in 4% butterfat milk is x/100*4=0.04x
The amount of butterflat in 1% butterfat milk is (75-x)/100= 0,75-0.01x
1The amount of butterflat in 75 quarts of 3% butterfat milk (our desired mixture) is 75/100*3= 2.25
This quantity (2.25) is the sum of butterfat from 4% butterfat milk and 1% butterfat milk(the sum of 0.04x and 0.75-0.01x)
the equation is
0.04x+0.75-0.01x=2.25
0.03x=1.5
x=50
17. A hospital trauma center is going to be built equidistant from three cities. Positioned on a grid, the cities would be located at (1, 5), (2, -2), and (-6, -2). What are the coordinates of the location where the trauma center should be built? A (-2, -1) C (2, -1) B (-2, 1) D (2.1)
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Answer:
B (-2, 1)
Step-by-step explanation:
The trauma center will be located at the circumcenter of the triangle. That is the point of intersection of the perpendicular bisectors of the sides. Once the points are graphed, it is pretty easy to see where that will be. It is on the line x=-2, above the x-axis. Only one answer choice is appropriate:
(-2, 1)
_____
Line AC has a slope of 1. Those points are separated by 7 units horizontally and vertically, so the midpoint is 3.5 units horizontally and vertically from either point, at (-2.5, 1.5). The perpendicular line with slope -1 through that point will intersect x=2 at y=1.
Help me with this question plz
19. 68 because 90seconds 1hr 30 mons
Complete the remainder
Answer:
-14 is the answer for the second term (?)
Can anyone help please?
Answer:
part 1:
a) After 37.72 years, there will be $270,183.29421
b) After 11.9 years, there will be double the amount originally put in the account(60,015.17148)
part 2:
38 years
Step-by-step explanation:
a)
30000(1.06)^t
t=37.72
30000(1.06)^37.73 = 270,183.29421
b)
30000(1.06)^t
t=11.9
30000(1.06)^11.9 = 60,015.17148
part 2)
37.72 rounded to the nearest tenth is 38
... select this as the brainliest please!!...
Name the number that is
represented by the letter Y.
Y
Z
WVX
+
-10 -5
+
5
0
10
Answer:
y is 8 if you count towards the right side of the screen you will figure out that y is 8 followed by 9 leading you to 10, therefore x is 11.
I hope this helps
Find the numerical value of the area under the normal curve given the following information:
less than z = -0.06
enter your answer as a decimal (NOT percentage) and lead with a zero...for example: 0.1234
Answer:
.4761
I have a feeling that you are not quite getting the concept of these questions
a "Z" table "maps" a value (x-mu/sigma) to a number on a z-table chart
Your calculator has the function but the chart is simple for this questions
the numbers IN the chart represent "the percent UNDER THE NORMAL CURVE"
a z =0 is the MIDDLE so it is 50%
your questions is negative so it is to the left of the "middle"
all you have to do is find the z number on the chart and that is the answer to this question
Step-by-step explanation:
pls find the volume :))
Answer:
The volume can be found by multiplying these two numbers, which is
65/4 x 1/2
65/8 units^3
Let me know if this helps!
Answer:
8 1/8 units ^3
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base and h is the height
V = 16 1/4 * 1/2
Changing to an improper fraction
V = ( 4*14+1)/4 * 1/2
= (65/4) * 1/2
= 65/8
Changing back to a mixed number
= 8 1/8
if a stone is dropped from a cliff that is 122.5m high then its height in meters after t seconds is h=122.5-4.9t^2. find its velocity after 2s
Answer:
Step-by-step explanation:
Let t = 2
h = 122.5 - 4.9·2² = 122.5-19.6 = 102.9
Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 36 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
A. H0: p = 0.67; H1: p < 0.67
B. H0: p = 0.67; H1: p ≠ 0.67
C. H0: p < 0.67; H1: p = 0.67
D. H0: p = 0.67; H1: p > 0.67
(b) What sampling distribution will you use?
A. The standard normal, since np > 5 and nq > 5.
B. The standard normal, since np < 5 and nq < 5.
C. The Student's t, since np > 5 and nq > 5.
D. The Student's t, since np < 5 and nq < 5.
What is the value of the sample test statistic?
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
A. At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
B. At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
C. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
D. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
A. There is sufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
B. There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
Answer:
A. H0: p = 0.67; H1: p < 0.67
A. The standard normal, since np > 5 and nq > 5.;
Test statistic = - 0.397 ;
Pvalue = 0.3457;
D. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
B. There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
Step-by-step explanation:
p = 0.67 ; q = 1 - p = 1 - 0.67
Sample size, n = 36
x = 23
Test for normality :
(36*0.67) = 24.12
(36 * (1-0.67)) = 11.88
For a normal distribution :
np ≥ 5 and n(1 - p) ≥ 5
The hypothesis :
H0 : p = 0.67
H1 : p < 0.67
The Test statistic :
Z = (phat - p) / √[(p(1 -p))/n]
Phat = x / n = 23 / 36
Z = ((24/36) - 0.67)) / √[(0.67(1 -0.67))/36]
Z = - 0.031 / 0.0783687
Z = - 0.396983
Z = - 0.397
Usong the Pvalue from Z calculator ;
Pvalue of Z = 0.3457
If Pvalue < α ; Reject H0 ; If otherwise, Fail to reject H0
26) What is the perimeter of a rectangle whose
lengths are 9x + 5 and widths are 7x + 2?
Answer:
32х+14
Step-by-step explanation:
[tex]2(9x + 5 + 7x + 2) \\ 18x + 10 + 14x + 4 \\ 32x + 14[/tex]
Answer:
32x + 14
Step-by-step explanation:
The opposite sides of a rectangle are equal, so
perimeter = 2(9x + 5) + 2(7x + 2) ← distribute parenthesis
= 18x + 10 + 14x + 4 ← collect like terms
= 32x + 14
If one ruler and three pencils cost N120 and two
rulers and one pencil cost N140. Find the cost of
one ruler and one pencil
Answer:
N80
Step-by-step explanation:
One ruler is N60 and one pencil is N20.
A Circuit has a 5000 V power supply(AC), A load resistance of 4 ohms and open switch how much Current will flow in a circuit as it is ?
Answer:
1250 amps
Step-by-step explanation:
V = 5000 V
R = 4 ohms
Use ohms law: V = IR
5000 =I(4)
I = 1250 amps
Tom and Harry are racing go-carts.Tom takes 2mins 8seconds to complete a lap while Harry takes 2minutes to complete a lap.They both start from the start line at the same time.when will they next cross the start line together? show all the workings.
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Answer:
after 32 minutes
Step-by-step explanation:
They will both cross the start line together after each has completed a number of full laps in the same time that the other has completed an integer number of full laps. That time will be the least common multiple (LCM) of their lap times, 128 seconds and 120 seconds.
The difference of these times (8 seconds) is also a divisor of both times, so that value is the greatest common divisor (GCD) of the two lap times. The LCM can be figured as ...
LCM(120, 128) = 120×128/GCD(120, 128)
LCM = 120×128/8 = 1920 . . . . . seconds
Converting this to minutes, we get ...
(1920 s)/(60 s/min) = 32 min
They will next cross the start line together after 32 minutes.
Which best describes the relationship between the line that passes through the points (6, -1) and (11, 2) and the line that passes through the
points (5-7) and (8-2)?
Answer:
D. Neither perpendicular nor parallel
Step-by-step explanation:
Let's find the slope (m) of both lines:
✔️Slope (m) of the line that passes through (6, -1) and (11, 2):
Slope (m) = change in y/change in x
Slope (m) = (2 -(-1))/(11 - 6) = 3/5
✔️Slope (m) of the line that passes through (5, -7) and (8, -2)
Slope (m) = change in y/change in x
Slope (m) = (-2 -(-7))/(8 - 5) = 5/3
✅The slope of both lines are not the same, therefore they are not parallel nor same line.
Also, the slope of one is not the negative reciprocal of the other, therefore they are not perpendicular.
Amy works 40 hours a week and gets paid 15.50 an hour. Tom works 40 hours a week and gets paid 10 an hour. How much does Amy earn per week? How much does Tom get pay for week?
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Answer:
Amy: $620
Tom: $400
Step-by-step explanation:
The pay for 40 hours (1 week) is 40 times the pay for 1 hour:
Amy: 40 × $15.50 = $620 . . . . Amy's pay for 1 week
Tom: 40 × $10.00 = $400 . . . . Tom's pay for 1 week
An urn contains 5 blue marbles and 4 yellow marbles. One marble is removed, its color noted, and not replaced. A second marble is removed and its color is noted.
(a) What is the probability that both marbles are blue? yellow?
(b) What is the probability that exactly one marble is blue?
Answer:
(a)The probability that both marbles are blue=5/18
The probability that both marbles are yellow=1/6
(b)The probability that exactly one marble is blue=5/9
Step-by-step explanation:
Blue marbles=5
Yellow marbles=4
Total marbles=5+4=9
(a)
Probability of drawing first blue marble=5/9
Probability of drawing second blue marble without replacement=4/8
The probability that both marbles are blue
[tex]=\frac{5}{9}\times \frac{4}{8}=\frac{5}{18}[/tex]
Probability of drawing first yellow marble=4/9
Probability of drawing second yellow marble without replacement=3/8
The probability that both marbles are yellow
[tex]=\frac{4}{9}\times \frac{3}{8}=\frac{1}{6}[/tex]
(b)
The probability that exactly one marble is blue
=Probability of first blue marble (Probability of second yellow marble)+Probability of first yellow marble (Probability of second blue marble)
The probability that exactly one marble is blue
=[tex]\frac{5}{9}\times \frac{4}{8}+\frac{4}{9}\times \frac{5}{8}[/tex]
=[tex]\frac{5}{18}+\frac{5}{18}[/tex]
=[tex]\frac{10}{18}=\frac{5}{9}[/tex]
A stone is dropped of a 1296-ft-cliff. The height of the stone above the ground is given by the equation h= - 16t^2+1296, where h is the stone’s height in feet, and t is the time in seconds after the stone is dropped. Find the time required for the stone to hit the ground.
When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.
The time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
A stone is dropped of a [tex]1296[/tex]-ft-cliff. The height of the stone above the ground is given by the equation [tex]h=-16t^2+1296[/tex], where [tex]h[/tex] is the stone’s height in feet, and [tex]t[/tex] is the time in seconds after the stone is dropped.
So,
[tex]h=-16t^2+1296\\\\v(t)=\frac{ds}{dt}=-32t+0\\\\=-32t\\\\\\a(t)=\frac{dv}{dt}=-32[/tex]
When [tex]s(t)=0[/tex] now solve it for [tex]t[/tex] so,
[tex]-16t^2+1296=0\\\\t^2=\frac{1296}{16}\\\\t^2=81\\\\t=\sqrt{81}\\\\t=9seconds[/tex]
When [tex]t=9[/tex] so,
[tex]v(9)=-32(9)\\\\v(9)=-288[/tex]
nd
[tex]a(9)=-32[/tex]
Hence, the time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
To know more about the equation
https://brainly.com/question/12788590
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Maria reads 3/5 chapters in 5/6 hours whats the unit rate?
Answer: 18/25 chapters / hour
Step-by-step explanation:
Concept:
Here, we need to know the idea of unit rate.
A unit rate is a rate with 1 in the denominator.
In simple words, the unit rate is something per one thing. For example, when you go to a store, you bought a book that is priced at $10. In actually meaning, it is $10 per book, or $10/book.
Solve:
Given formula
Unit rate = Number of chapters / Hours
Substitute the value into the formula
Unit rate = (3/5) / (5/6)
Convert to multiplication by taking the reciprocal of the divisor
Unit rate = (3/5) · (6/5)
Numerator times numerator / denominator times denominator
Unit rate = (3 × 6) / (5 × 5)
Unit rate = 18 / 25 chapter / hour
Hope this helps!! :)
Please let me know if you have any questions
The unit rate is 18/25 chapters per hour. This means Maria is reading at a rate of 18/25 chapters in one hour.
How to determine the unit rateTo calculate the unit rate, we're trying to find out how much of something (in this case, chapters) happens in a single unit of another thing (time, in hours).
In this scenario, Maria reads 3 out of 5 chapters in 5 out of 6 hours. To find the unit rate, we divide the chapters read (3/5) by the time taken (5/6 hours):
Unit Rate = Chapters Read / Time Taken
= (3/5) / (5/6)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Unit Rate = (3/5) * (6/5)
= (3 * 6) / (5 * 5)
= 18 / 25
So, the unit rate is 18/25 chapters per hour. This means Maria is reading at a rate of 18/25 chapters in one hour.
Learn more about unit rate at https://brainly.com/question/19493296
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Use the function below to find f(3).
f(x) = 3.4^x
Step-by-step explanation:
Hey there!
[tex]f(x) = 3. {4}^{x} [/tex]
Then;
[tex]f(3) = 3. {4}^{3} [/tex]
[tex]f(3) = 192[/tex]
Therefore, f(3) = 192.
Hope it helps!
If a house is worth $125,000 and depreciates by 7.5% per year, how much is it worth in two years
Answer:
Solution given;
principal [P]=$125,000
depreciated rate[R]=7.5%
time[t]=2 years
worth price of house [A]=???
we have
Worth price[A]=[tex]\large \bold P(1-\frac{R}{100})^{t}[/tex]
=[tex]125,000(1-\frac{7.5}{100})^{2}[/tex]
=125,000*0.925²
=125,000*0.855625
=106953.125
its worth price is $106953.125Solve using the addition principle. 3y - 11 ≤ 2y - 2
Answer:
y ≤ 9
Step-by-step explanation:
3y - 11 ≤ 2y - 2
Subtract 2y from each side
3y-2y - 11 ≤ 2y-2y - 2
y - 11 ≤ - 2
Add 11 to each side
y - 11+11 ≤ - 2+11
y ≤ 9
Answer:
[tex]y \leqslant 9[/tex]
Step-by-step explanation:
[tex]3y - 11 \leqslant 2y - 2 \\ 3y - 2y \leqslant 11 - 2 \\ y \leqslant 9[/tex]
What is the end behavior of the function f(x)=54x2?
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Answer:
as x → ±∞, f(x) → ∞
Step-by-step explanation:
The function is of even degree, so the end behavior is the same for x → ±∞. The leading coefficient is positive, so the end behavior is f(x) → +∞.
If DF =61 and EF = 18 find DE
Answer: DE = 79
Concept:
Here, we need to know the idea of segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
**Disclaimer** I assume that points D, E, F are collinear, thus they would form a segment and F would be the point between D and E. If it was, you may refer to my answers. If it was not, you may tell me and I will redo it.
Given information
DF = 61
EF = 18
Given expression deducted from the segment addition postulate
DE = DF + EF
Substitute values into the expression
DE = (61) + (18)
Simplify by addition
[tex]\boxed{DE=79}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Use the Pythagorean theorem to find the missing lengths in the diagram below.
Answer:
anser b
Step-by-step explanation:
i had it
Answer:
x = √74
y = √17
Answered by GAUTHMATH
the perimeter of a square is less than or equal to 50 find the range of the value of the length of the square
Answer:
12.5 ≥ s >0
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
50 ≥ 4s
Divide each side by 4
50/4 ≥ 4s/4
25/2 ≥ s
12.5 ≥ s
What is the value of |-6|-|6| -(-6)
Answer:
6
Step-by-step explanation:
Solve the absolutes: |-6| becomes 6
and |6| doesn't change and still is 6
Substitute: 6-6-(-6)
- * - = +
6-6+6 = 6
Question 8 of 10
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x).
A. 4X2 + 1
B. 4x2 + 4x2
C. 4(x+1)
D. 4x(x)
SURVIT
Answer:
option c is the answer for your question
