9514 1404 393
Answer:
C = 20 +12g8 gigabytesStep-by-step explanation:
At $12 per gigabyte, the data charge will be 12g where g is the number of gigabytes. Then the total charge is ...
C = 12g +20
__
If C = 116, the value of g is found from ...
116 = 12g +20
96 = 12g . . . . . . . subtract 20
8 = g . . . . . . . . . . divide by 12
The amount of data used is 8 gigabytes if the charge is $116.
How far apart are the 2 cities? See picture.
Show steps
9514 1404 393
Answer:
373 miles
Step-by-step explanation:
The difference in latitude is ...
39.1° -33.7° = 5.4° = 0.54°(π/180°) radians = 0.03π radians
The arc length is given by ...
s = rθ, where θ is the angle in radians
The length of the arc along the longitude line is ...
s = (3960 mi)(0.03π) ≈ 373 mi
The distance from Atlanta to Cincinnati is about 373 miles.
Drag the tiles to the correct boxes to complete the pairs.
Match each given domain of the function f(I):
with its corresponding range.
{40, 45, 50, 55, 60)
{52, 56, 63, 67, 71}
{37, 46, 49, 55, 57)
{44, 51, 59, 66, 73}
Range
Domain
{20.8, 22.4. 25.2, 26.8, 28.4) <
{16, 18, 20, 22, 24)
(17.6, 20.4, 23.6, 26.4, 29.2)
(14.8, 18.4, 19.6, 22, 22.8)
(40, 45, 50, 55, 60) to (16, 18, 20, 22, 24)
{52, 56, 63, 67, 71} to {20.8, 22.4. 25.2, 26.8, 28.4}
{37, 46, 49, 55, 57} to (17.6, 20.4, 23.6, 26.4, 29.2)
{44, 51, 59, 66, 73} to (14.8, 18.4, 19.6, 22, 22.8)
Domain is the set of all values for which the function is defined. Range is the set of value inside the domain function.
The ranges and domain functions are given which needs to be matched correctly.
This also referred to as input and output function which will create a range and domain function.
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Answer:
I did the test and got this so just change these two and it will be correct
Step-by-step explanation:
I did test on edmentum/PLATO
Use the probability distribution table to answer the question.
What is P(1 < X < 5)?
Enter your answer, as a decimal, in the box.
Add up the P(x) values that correspond to x = 2 through x = 4
0.07+0.22+0.22
So we have a 51% chance of getting an x value such that 1 < x < 5
By using the probability distribution table, the value of P(1<x<5) is 0.51
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true
What is Probability distribution?A probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events
Given,
We have to find the value of P(1<x<5)
P(1<x<5) = P(2)+P(3)+P(4)
P(2)=0.07
P(3)=0.22
P(4)=0.22
P(1<x<5) = 0.07+0.22+0.22 =0.51
Hence, the value of P(1<x<4)= 0.51
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relationship between the two number
b 70.908
7.908
Which one is greater
Answer:
70.908 is greater than 7.908 .
I hope your day goes nice
Answer:
70.9 0 8 is Greaterboth are different because of different placement of point.
Time
(minutes)
Water
(gallons)
1
16.50
1.5
24.75
2
33
find the constant of proportionality for the second and third row
Answer:
16.50
Step-by-step explanation:
Constant of proportionality = no of gallons of water per 1 minute.
In the first row, we have 16.50 gallons of water per 1 minute.
In the 2nd row, we have 24.75 gallons of water in 1.5 minutes. In 1 minute, we will have 24.75 ÷ 1.5 = 16.50 gallons
In the 3rd row, we have 33 gallons in 2 minutes. In 1 minute, we will have 33 ÷ 2 = 16.50 gallons.
We can see that there seems to be the same constant of proportionality for the 2nd and 3rd row, which is 16.50.
Thus, a relationship between gallons of water (w) and time (t), considering the constant, 16.50, can be written as: [tex] w = 16.50t [/tex]
This means the constant of proportionality, 16.50, is same for all rows.
3(8a - 5b) – 2(a + b); use a = 3 and b = 2
Answer:
32
Step-by-step explanation:
3(8(3)-5(2))-2((3)+(2))
3(24-10) -2(5)
3(14) -10
42-10
32
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{3(8a - 5b) - 2(a + b)}\\\\\huge\textsf{= 3(8(3) - 5(2)) - 2(3 + 2)}\\\\\huge\textsf{= 3(24 - 10) - 2(3 + 2)}\\\\\huge\textsf{= (3)(14) - 2(3 + 2)}\\\\\huge\textsf{= 42 - 2(3 + 2)}\\\\\huge\textsf{= 42 - 2(5)}\\\\\huge\textsf{= 42 - 10}\\\\\huge\textsf{= 32}}[/tex]
[tex]\huge\boxed{\textsf{Answer: 32}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
factorize : ( p- q ) cube
Answer:
[tex]( {p - q}^{3} ) \\ = {p}^{2} - 3 {p}^{2} q + 3p {q}^{2} - {q}^{3} [/tex]
Approximately how many times greater is
7.4 x 10^8
than
2.5 x 10^7
0.3
3
30
300
Answer:
30
Step-by-step explanation:
To compare the numbers, divide the first number by the second number.
(7.4 x 10^8)/(2.5 x 10^7) = (74 x 10^7)/(2.5 x 10^7) = 74/2.5 = 29.6
Answer: 30
The waves of a tsunami are 25 ft high, 90 miles apart, and traveling at a rate of 540 miles per hour. How long does it take for the waves to complete one period
Answer:
it will take 450 wave to complete
The time between consecutive uses of a vending machine is exponential with an average of 15 minutes. a)Given that the machine has not been used in the previous 5 minutes, what is the probability that the machine will not be used during the next 10 minutes
Answer5
Step-by-step explanation:
4/2÷4/7? plz help me
Answer:
2
Step-by-step explanation:
4/2÷4/7
= 4/2 × 7/4
= 28/14
= 2
tentukan himpinan penyelasaian dari plsv berikut. A:3x+=2x+12
Answer:
x=12
Step-by-step explanation:
3x=2x+12
3x-2x=12
x=12
A maker of microwave ovens advertises that no more than 10% of its microwaves need repair during the first 5 years of use. In a random sample of 50 microwaves that are 5 years old, 12% needed repairs at a=.04 can you reject the makers claim that no more than 10% of its microwaves need repair during the first five years of use?
Answer:
We conclude that no more than 10% of its microwaves need repair during the first five years of use.
Step-by-step explanation:
We are given that a maker of microwave ovens advertises that no more than 10% of its microwaves need repair during the first 5 years of use.
In a random sample of 50 microwaves that are 5 years old, 12% needed repairs.
Let p = population proportion of microwaves who need repair during the first five years of use.
So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 10% {means that no more than 10% of its microwaves need repair during the first five years of use}
Alternate Hypothesis, [tex]H_A[/tex] : p > 10% {means that more than 10% of its microwaves need repair during the first five years of use}
The test statistics that will be used here is One-sample z-test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of microwaves who need repair during the first 5 years of use = 12%
n = sample of microwaves = 50
So, the test statistics = [tex]\frac{0.12-0.10}{\sqrt{\frac{0.10(1-0.10)}{50} } }[/tex]
= 0.471
The value of z-test statistics is 0.471.
Now, at a 0.04 level of significance, the z table gives a critical value of 1.751 for the right-tailed test.
Since the value of our test statistics is less than the critical value of z as 0.471 < 1.751, so we have insufficient evidence to reject our null hypothesis as the test statistics will not fall in the rejection region.
Therefore, we conclude that no more than 10% of its microwaves need repair during the first five years of use.
Please help with this, thanks
Answer:
BDC is half of mBC = 11°
Easily you see that C is A + BDC = 23°
Since C = 23° so mDC is twice = 46°
x
Which choice shows 14 •(8 . 2) correctly rewritten using the associative property and then correctly simplified?
(14.8.2 = 112 · 2 = 224
(14.82) = 1, 148
14. (2. 8) = 14 · 16 = 224
14.2.8 = 28. 8 = 224
Step-by-step explanation:
=14×(8×2)
=14(16)
=224
There are 47 contestants at a national dog show. How many different ways can contestants fill the first place, second place, and third place positions?
Answer:
97290
Step-by-step explanation:
47 different people can win first
47
Now there are only 46 people left
46 different people can win second
46
45 different people can win third
47*46*45
97290
PLZ HELP ME I NEED HELP PLZZZ
There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.
What is the theoretical probability of randomly drawing either a blue marble or a green marble?
36%
76%
19%
40%
Answer:
76%
Step-by-step explanation:
Total Outcomes (9 blue + 10 green)/Total options (9+10+6)
19/25
=76%
the terms in this sequence increase by the same amount each time. _19_ _ 34_ a) work out the missing terms.
Answer:
The sequence is 14, 19, 24, 29, 34, 39.
Step-by-step explanation:
Let's call the common difference (the difference between two consecutive terms) as d. We see that the second term is 19 and the 5th term is 34 and since 5 - 2 = 3, we add d 3 times to 19 to get 34 so therefore:
19 + 3d = 34
3d = 15
d = 5 so the first term is 19 - 5 = 14, the third would be 19 + 5 = 24, the fourth would be 24 + 5 = 29 and the sixth would be 34 + 5 = 39.
40 points! Find the distance UV between the points U (2,-2) and V (-5, -3). Round your answer to the nearest tenth, if necessary.
[tex]\\ \sf\longmapsto UV=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto UV=\sqrt{(-5-2)^2+(-3+2)^2}[/tex]
[tex]\\ \sf\longmapsto UV=\sqrt{(-7)^2+(-1)^2}[/tex]
[tex]\\ \sf\longmapsto UV=\sqrt{49+1}[/tex]
[tex]\\ \sf\longmapsto UV=50[/tex]
5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of Birmingham. If the distance from Atlanta to Birmingham is roughly 150 mi, and the distance from Birmingham to Nashville is roughly 200 mi, what is the estimated distance from Atlanta to Nashville?
Answer: 250 mi
Step-by-step explanation:
Here we can think in a triangle rectangle:
The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.
And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.
Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.
Now we can apply the Pythagorean's theorem:
A^2 + B^2 = H^2
Where A and B are the cathetus, and H is the hypotenuse:
Then:
H = √(A^2 + B^2)
H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi
Then the estimated distance from Atlanta to Nashville is 250 mi
The data recorded in following Table 1 shows the length of Medical checkup conducted by a Health & safety team, in meters,
20 25 33 47 39 41 21
39 33 32 38 41 37 49
59 60 31 28 48 36 60
b) Find the Mean and Median of the minutes.
c) Find Standard deviation also comment on the result.
d) Sketch Histogram and Frequency Polygon.
Answer:
yggnvfghg46777tuutyuyt6yffttgdfhurdvhu
What do these have in common
Answer:
All Equal to 0
Step-by-step explanation:
0 = 0
3 - 3 = 0
0/4 = 0
12 - 3*4 = 0
Please help 1-7 questions
Answer:
25= q+20
25 - 20 =q
5 = q
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------
Answer: q = 5.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]25 = q + 20[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]q + 20 = 25[/tex]
Subtract 20 from both sides.
[tex]q = 25 - 20[/tex]
Subtract 20 from 25 to get, you guessed it, 5!PLEASE HELP ILL GIVE BRAINLIEST !!!!
Answer:
y=3x-2
Step-by-step explanation:
The slope of the equation is (-2-(-5))/(0-(-1))=3. The y intercept is - 2. So y=3x-2
The scale on a map is
1:25 000
(a) On a map, a distance
measures 5cm. What is this
in real life? Give your
answer in kilometres.
(b) In real life a distance is
2.2km. What would this be in
the map in centimetres?
Answer:
Step-by-step explanation:
a) 5 cm(25000)(1 m/100 cm)(1 km/1000 m) = 1.25 km
b) 2.2 km (1000 m/km)(100 cm/m) / 25000 = 8.8 cm
The percent of data between z=0.23 and z = 1.27 is
(Round to two decimal places as needed.)
Answer:
0.40905 - 0.10204 = .30701 = 30.7 %
Step-by-step explanation:
0.23 0.40905
1.27 0.10204
If √2x - 1 + 2=5, then x is equal to?
Answer:
x = 5
Step-by-step explanation:
Remove the radical by raising each side to the index of the radical.
x = 5
This was done assuming that 2x-1 was under the radical and that +2 wasn't.
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 527 and standard deviation 118.
Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20 and standard deviation 3.
1. What is Elanor's standardized score?
Round to 2 decimal places.
3. What is Gerald's standardized score?
Round to 2 decimal places.
4. Assuming that both tests measure the same kind of ability, who has the higher score?
i. Gerald.
ii. Elanor.
iii. They both did equally well.
Answer:
1. Elanor's standardized score is 1.19
2. Gerald's standardized score is 0.72
3. Elanor has higher score.
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=X-M over 8 where
X is the student's score
M is the mean score of the exam
s is the standard deviation of the exam
Elanor's standardized score is:
z(e) =680-554 over 106 ≈ 1.19
Gerald's standardized score is:
z(g)= 27 - 24.7 over 3.2 ≈ 0.72
Since z(e) > z(g), Elanor has higher score
Draw the function
[tex]y = \tan(x) [/tex]
on the interval [-pi, pi]
Answer:
The answer is in the photo below. The interval is (-pi, pi) and the function is y = tanx.
how many solutions are there to this non-linear systems/graph a. one solution,b.two solutions,c.no solutions