Anyone know this.......
Answer:
a) The basic rate of pay is 6 sterling pounds per hour.
b) The higher rate of pay is 10 sterling pounds per hour.
Step-by-step explanation:
Both segments of the curve are first order polynomials, which means that each have constant slopes.
a) The basic rate of pay is the value of the slope ([tex]r[/tex]), in sterling pounds per hour, of the line for the first 20 hours worked, that is:
[tex]r = \frac{\Delta y}{\Delta x}[/tex] (1)
Where:
[tex]\Delta x[/tex] - Change in hours worked, in hours.
[tex]\Delta y[/tex] - Change in pay, in sterling pounds.
If we know that [tex]\Delta x = 20\,h[/tex] and [tex]\Delta y = \pounds\, 120[/tex], then the basic rate is:
[tex]r = \frac{\Delta y}{\Delta x}[/tex]
[tex]r = \frac{\pounds\,120}{20\,h}[/tex]
[tex]r = 6\,\frac{\pounds}{h}[/tex]
The basic rate of pay is 6 sterling pounds per hour.
b) By using (1), we calculate the higher rate of pay below. If we know that [tex]\Delta x = 10\,h[/tex] and [tex]\Delta y = \pounds \,100[/tex], then the higher rate is:
[tex]r = \frac{\Delta y}{\Delta x}[/tex]
[tex]r = \frac{\pounds\,100}{10\,h}[/tex]
[tex]r = 10\,\frac{\pounds}{h}[/tex]
The higher rate of pay is 10 sterling pounds per hour.
If x=4–5i and y=-4– 7i,what is y-x?
Answer:
I'd do (-4-7i)-(4-5i)=-8-2i
A triangle has base angles of 52.5 degrees each. What is the measurement of the third angle?
Answer:
75 degrees
Step-by-step explanation:
52.5+52.5= 105. 180-105= 75 degrees.
The Answer is 75 degrees
Which of the following is a perfect cube?
1
18
4
81
Answer: 1
Step-by-step explanation:
1 is both perfect square and cube.
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for more than 1 year and less than 6 years?
4 schools
8 schools
10 schools
20 schools
Answer:
20 schools is your answer
Have a good day
Answer:
20 is ur answer!
Step-by-step explanation:
I took the test and got it right, also credit goes to the other guy! Have a good day/night! <3
Which of the following numbers is 90 divisible by? 2,3,4,6,9,10
Answer:
2,3,5,6,9,10
Step-by-step explanation:
Simplify fractions 7/21
Answer:
1/3
Step-by-step explanation:
7/21 = 1/3
This is because 21 & 7 are both multiples of 7. 7 / 7 = 1. 21 / 7 = 3.
That makes it 1/3.
Hope that helps! :)
Answer:1/3
Step-by-step explanation:to simplify, divide both numerator and denominator by 7
7/7=1 and 21/7=3
When you see average rate of change what should you automatically think of
Answer:
Steady rate
Step-by-step explanation:
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Taylor has a set of 13 cards, labeled 1 through 13. If she chooses a card at random, what is the probability that the number on it is a prime number?
Answer:
B. 6/13
Step-by-step explanation:
No of sample space, n(s) = 13
Prime numbers
= ( 2 , 3 , 5 , 7 , 11, 13 )
No of favourable cases, n (e) = 6
Now
Probability that the number on it is a prime number is
P(E) = n(e) / n(s)
= 6/13
Hope it will help :)❤
A survey was run by a high school student in order to determine what proportion of mortgage-holders in his town expect to own their house within 10 years. He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51. The student decides to construct a 95% confidence interval for the population proportion. a)Calculate the margin of error that the high school student will have. Give your answer as a decimal to 2 decimal places. Margin of error
Answer:
The margin of error is of 0.17.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.
This means that [tex]n = 35, \pi = 0.51[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a)Calculate the margin of error that the high school student will have.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]
[tex]M = 0.1656[/tex]
Rounding to 2 decimal places, the margin of error is of 0.17.
During the summer, Dwayne Works on his uncles dairy farm. One of Dwaynes Many chores is to load bales of hay onto a wagon and haul them from the field into the barn.
There is a proportional relationship between the number of wagon loads, x and the number of bales of hay Dwayne can haul, y.
What is the constant of proportionality? Write your answer as a whole number or decimal.
The constant of proportionality of the proportional relationship between the number of wagon loads, x and the number of bales of hay Dwayne can haul, y, is given as follows:
4.
How to define a proportional relationship?The standard definition of a proportional relationship is given as follows:
y = kx.
Hence the solution for the constant is given as follows:
k = y/x.
As the table represents a proportional relationship, the constant can be calculated from any pair, hence:
k = 20/5 = 4.
More can be learned about a proportional relationship at https://brainly.com/question/10424180
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Consider the figures shown to answer Part A and Parts B.
Which figures have a volume greater than 600 cubic inches?
Select all that apply.
A. Cylinder #1
B. Cone #1
C. Cylinder #2
D. Cone #2
E. Sphere
volume of sphere is 4.8 times the volume of cone (1).
A). Options (C) and (E) is correct.
B). 4.8 times
To choose the figure.
What is mensuration?The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.
Given that:
Part A
Volume of cylinder (1) = πr²h
= π*(6)²*(5)
= 565.5 cubic inches
Volume of cone (1)=π*r²*h/3
=π*6²*5/3
= 188.5 cubic inches
Volume of sphere =4π*r²*r/3
=4π*6²*6/3
= 904.8 cubic inches
Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.
Part (B)
Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8
Therefore, volume of sphere is 4.8 times the volume of cone (1).
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Find the value of x. help please if you understand
A 3 foot wide painting should be centered on 13 foot wide wall how many feet should be on each side of the painting
Answer:
5 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:
(13 - 3) / 2 = X
10/2 = X
5 = X
Therefore, 5 feet of wall should be on each side of the painting.
NO LINKS! NO FILES
please :)
Answer:
the answer is 40 because you count all the squares that are in the shape
Step-by-step explanation:
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
complete these ratios
curved surface area of A : curved surface area of B : = ? : ?
height of A : height of B = ? : ?
Answer:
Two figures are similar if the figures have the same shape but different sizes.
Then if we have two figures X and X'
Such that one dimension of X is D, the correspondent dimension on X' will be:
D' = k*D
Such that k is the scale factor that relates the figures.
1:k
Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:
S' = k^2*S
then the ratio of the surfaces is:
1:k^2
While the relation between the volumes will be:
V' = k^3*V
Here the ratio is:
1:k^3
Ok, in this case we have two cylinders
We know that the ratio between the base area ( a surface) is:
9:25
a) We want to find the ratio: curved surface area of A : curved surface area of B
Because again we have a surface area, the ratio should be exactly the same as before, 9:25
b) height of A : height of B
In this case, we have a single dimension.
Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:
9:25
is related to k^2
Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:
√9:√25
3:5
This is the ratio of the heights.
Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.
(3/3):(5/3)
1:(5/3)
Then:
k = 5/3
7. Find S 14 for the arithmetic sequence. 101+98+95+92+..
Step-by-step explanation:
[tex]S _{n} = \frac{n}{2} (2a + (n - 1)d) \\ S _{14} = \frac{14}{2} ((2 \times 101) + (14 - 1) \times -3) \\ =1,141[/tex]
Help :)))))))
And branlist wil come!!
Answer:
y * 2.5 = x
Step-by-step explanation:
y= inch
x= conversion from inch to cm
Stacia buys 6 yards of ribbon to make a costume. She has 2 feet of ribbons left over. How many feet of ribbon did Stacia use to make the costume? Explain your work.
ANSWER WITH WORDS
Answer:
16 feet
Step-by-step explanation:
6 yards of ribbon = 6 x 3 =18 feet
ribbon used = 18 -2 = 16 feet
5. A bag contains 5 blue marbles, 3 red marbles, and 2 yellow marbles. You select a marble at random. Wha
is Plyellow)?
2
8
5
5
Answer:
i cant rlly see the question bc its cut out but i yhink its 8
Step-by-step explanation:
total Amount of Marbles in the bag is:
5 + 3 = 8
So, since there are 5 Red marbles, the probability of drawing one is 5 / 8.
Now that you pulled that marble out, you have 7 marbles total left in the bag, 4 of those are read (5 originally, minus the one you took out.
So, the probability of the second round is 4/7.
To find the overall probability, you multiply those probabilities together:
4/7*5/8 = 20/56
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 4340 seats. The students left 2387 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 45%
Step-by-step explanation:
In ΔMNO, o = 63 cm, n = 23 cm and ∠N=30°. Find all possible values of ∠O, to the nearest degree.
Answer:
No triangle possible
Step-by-step explanation:
Which statement is true?
24 – 15 × 4 – 3 × 2 = 30
24 – 15 × (4 – 3) × 2 = 30
(24 – 15) × 4 – 3 × 2 = 30
(24 – 15) × 4 – 3 × 2 = 66
Answer:
I belive its
24 – 15) × 4 – 3 × 2 = 66, the last one.
If it's wrong please correct me! Hope this can help!
Answer:
i know if its not the correct one but for me its
(24−15)×4−3×2=30
A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial. (a) What is the probability that all four computers fail on one day
Answer:
625/100,000,000 or 6.25 out of one million
Step-by-step explanation:
(0.005)^4 = .000000000625 = 625/100,000,000
The probability that all four computers fail on one day is =6.3*[tex]10^{-10}[/tex].
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability that a computer fails on any single day is 0.005.
Let X denotes no. of computers fail on day
So, n = 4 , p = 0.05, q= 1-0.05=0.995
P (X = x) = [tex]^{n} C_x \;p^{x} \;q^{n-x}[/tex]
P (X = 4)
= [tex]^{4} C_4 \;(0.005)^{4} \;(0.995)^{4-4}[/tex]
=1* 0.00000000063*1
=0.00000000063
=6.3*[tex]10^{-10}[/tex]
Hence, the probability that all four computers fail on one day is
=6.3*[tex]10^{-10}[/tex].
Learn more about probability here:
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What is the solution to the system of equations?
y = 2/3x+ 3
x=-2
{-2, -15/2}
{-2, 5/3}
{-2, 11/6}
{-2, 13/3}
Answer:
(-2,5/3)
Step-by-step explanation:
What is the area=???
Answer:
5x^2 + 2
Step-by-step explanation:
pretty sure
Answer:
6.25
Step-by-step explanation:
x+2=5x
2= -x+5x
2=4x
2/4=4x/4
1/2=x
Plug into formla of rectangel: L*W
L= 5(0.5)= 2.5
W= 0.5+2 = 2.5
L*W= 2.5*2.5 = 6.25
I need help please !!!!!!!!
Answer:
line and point
hope it's correct..
40 POINTS HALP
Find the value of x, y, and z
Answer: x= 108°, y=36°, and z= 30°
Step-by-step explanation: 72 and 3y make a supplementary angle which is equal to 180°.
(3z+18) and x are corresponding angles so they're equal to each other.
7.45 times _____ =74.5
Answer:
The answer is 10
Use the difference quotient of A(r)= πr2 to calculate the average rate of change during certain intervals.
The difference quotient of A(r) is:
StartFraction pi (r + h) squared minus pi r squared Over h EndFraction = StartFraction pi (r squared + 2 r h + h squared) minus pi r squared Over h EndFraction = StartFraction pi r squared + 2 pi r h + pi h squared minus pi r squared Over h EndFraction = 2 pi r + pi h
The average rate of change from the interval 2 to 3 inches is
π square inches per inch.
The average rate of change from the interval 2 to 2.5 is
π square inches per inch.
Answer:
5
4.5
Step-by-step explanation:
edge