A car that gets 35.6 miles per gallon can travel approximately 1,009.92 kilometers if there are 28.67 gallons of gas in its tank. The conversion factor of 1 kilometer to 0.621 miles is used to calculate the distance in kilometers.
To determine how many kilometers the car can travel, we need to convert the given miles per gallon (35.6) to kilometers per gallon. Using the conversion factor of
1 kilometer = 0.621 miles,
we can calculate the equivalent kilometers per gallon:
35.6 miles/gallon × 1 kilometer/0.621 miles ≈ 57.35 kilometers/gallon
Now, we can calculate the total distance the car can travel in kilometers by multiplying the kilometers per gallon by the number of gallons of gas in the tank:
57.35 kilometers/gallon × 28.67 gallons ≈ 1,009.92 kilometers
Therefore, the car can travel approximately 1,009.92 kilometers if there are 28.67 gallons of gas in its tank, assuming it maintains the average fuel efficiency of 35.6 miles per gallon.
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the sum of a number and 7 is -12
Answer:
Please put the rest of the answer
Step-by-step explanation:
Answer: 7?
Step-by-step explanation:
T/F to find the region s in the uv-plane which corresponds to r, we find the corresponding boundaries. the line though (0, 0) and (6, 1) is y
If the region s in the uv plane corresponds to r , then the line through the points (0, 0) and (6, 1) is y = x/6 .
In the question ,
it is given that ,
we have to find the equation of the line that passes through the points (0, 0) and (6, 1) .
we know that the equation of the line in slope intercept form is written as
y = mx \(+\) c , where m is slope of line .
and m(slope) between the points (a,b) and (c,d) can be found using the formula ,
slope = (d - b)/(c -a)
Substituting the values in the formula ,
we get ,
slope = (1-0)/(6-0)
= 1/6
The equation of the line passing through the points (0,0) with slope as 1/6 is
0 = (1/6)(0) + c
c = 0 ,
we get , y = (1/6)x + 0
y = x/6
Therefore , the required line is y = x/6 .
The given question is incomplete , the complete question is
The region s in the uv plane which corresponds to r , what is the line through the points (0, 0) and (6, 1) ?
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make A the subject of the formula y=3w-a
Answer:
a=3w−y
Step-by-step explanation:
Step 1: Flip the equation.
−a+3w=y
Step 2: Add -3w to both sides.
−a+3w+−3w=y+−3w
−a=−3w+y
Step 3: Divide both sides by -1.
(-a)/1=-(3w+y)/1
a=3w−y
an elementary school is offering 3 language classes: one in spanish, one in french, and one in german. the classes are open to any of the 100 students in the school. there are 28 students in the spanish class, 26 in the french class, and 16 in the german class. there are 12 students that are in both spanish and french, 4 that are in both spanish and german, and 6 that are in both french and german. in addition, there are 2 students taking all 3 classes.
Using Venn diagram, if a student is chosen randomly, (a) the probability that he or she is not in any of the language classes is 0.5, (b) the probability that he or she is taking exactly one language class is 0.32, and (c) if 2 students are chosen randomly, the probability that at least 1 is taking a language class is 0.753.
Venn diagram is a diagram used to present the relationship between sets in a logical form. (See attached image)
Let A = students in the Spanish class = 28
B = students in the French class = 26
C = students in the German class = 16
Hence, the probability of each class is:
P(A) = 28/100 = 0.28
P(B) = 26/100 = 0.26
P(C) = 16/100 = 0.16
P(A ∩ B) = 12/100 = 0.12
P(B ∩ C) = 6/100 = 0.06
P(A ∩ C) = 4/100 = 0.04
P(A ∩ B ∩ C) = 2/100 = 0.02
(a) P(not A, B, C) = 1 - P(A ∪ B ∪ C)
P(not A, B, C) = 1 - [P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)]
P(not A, B, C) = 1 - (0.28 + 0.26 + 0.16 - 0.12 - 0.06 - 0.04 + 0.02)
P(not A, B, C) = 1 - 0.5
P(not A, B, C) = 0.5
(b) P(A, B, C only) = P(A only) + P(B only) + P(c only)
P(A, B, C only) = [P(A) - P(A ∩ B) - P(A ∩ C) + P(A ∩ B ∩ C)] + [P(B) - P(A ∩ B) - P(B ∩ C) + P(A ∩ B ∩ C)] + [P(C) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)]
P(A, B, C only) = (0.28 - 0.12 - 0.04 + 0.02) + (0.26 - 0.12 - 0.06 + 0.02) + (0.16 - 0.06 - 0.04 + 0.02)
P(A, B, C only) = 0.14 + 0.10 + 0.08
P(A, B, C only) = 0.32
(c) P = 1 - (50/100 x 49/99)
P = 1 - (49/198)
P = 149/198
P = 0.753
To complete the problem, here are the questions:
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
(b) If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
(c) If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?
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What is the equation of the following line? Be sure to scroll down first to see all answer options. (-2,-8) ( 0,0)
Answer:
y = -4x
Step-by-step explanation:
We can find the equation of the line in slope-intercept form, whose general equation is given by:
y = mx + b, where
m is the slope,and b is the y-intercept.Finding the slope (m):
We can find the slope (m) using the slope formula, which is given by:m = (y2 - y1) / (x2 - x1), where
(x1, y1) is one point on the line,and (x2, y2) is another point on the line.Thus, we can plug in (0, 0) for (x1, y1) and (2, -8) for (x2, y2) to find m, the slope of the line:
m = (-8 - 0) / (2 - 0)
m = -8/2
m = -4
Thus, the slope of the line is-4.
Finding the y-intercept (b):
We see that the point (0, 0) lies on the line so the y-intercept is 0 since the line intersects the y-axis at (0, 0).When the y-intercept is 0, we don't write it in the equation.Thus, the equation of the line is y = -4x.
Organisms are present in ballast water discharged from a ship according to a Poisson process with a concentration of 10 organisms/m3 [the article "Counting at Low Concentrations: • The Statistical Challenges of Verifying Ballast Water Discharge Standards" (Ecological Applications, 2013: 339-351) considers using the Poisson process for this purpose].
a. What is the probability that one cubic meter of dis-charge contains at least 8 organisms?
b. What is the probability that the number of organisms in 1.5 m3 of discharge exceeds its mean value by more than one standard deviation? c. For what amount of discharge would the probability of containing at least 1 organism be .999?
Probability that one cubic meter of discharge contains at least 8 organisms is 0.0881.
The given Poisson process has a concentration of 10 organisms/m3.
Using the Poisson distribution formula, which is P(X = k) = (e-μ)(μk) / k!, where k is the number of occurrences, μ is the average rate of occurrence and e is Euler's number.To find the probability that one cubic meter of discharge contains at least 8 organisms, the Poisson formula will be used as follows:
P(X ≥ 8) = 1 - P(X < 8) = 1 - ∑ (k=0)⁷ ((e^-10) (10^k))/k!Where Σ is the summation symbol and runs from k=0 to k=7.Now we can substitute the values and calculate as follows:P(X ≥ 8) = 1 - 0.2397 ≈ 0.0881.
Therefore, the probability that one cubic meter of discharge contains at least 8 organisms is approximately 0.0881.b.
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-2x - 14 =-2
(Solve for x)
Answer:
x = -6
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
-2x - 14 = -2
first, you have to add 14 to both sides
-2x = 12
now you divide -2 from both sides
x = -6
Find the degree measure of each angle.
D
E
73° 39°
B
ZEBF
ZEBA
ZDBE
ZABF
ABC
Answer:
in screenshot
Step-by-step explanation:
Determine the measures of angles C and D.
Answer:
c = 40 and d = 76
Step-by-step explanation:
this is going to take me a long time to explain but here we go
so you need to do 180 - 116 and get 64.
then create a equation that is like this 7y + 6 + 4y + 64 = 180
when you solve it you get y = 10
then plug in 10 in for y in 4y. and you get 40 for c
do the same for d and you will get 76
pls mark me brainleist because i didnt waster your time.
Question content area top Part 1 The temperature in a town is 31.6 during the day and -17.2 at night. Find the difference in the temperatures.
Answer: The difference in temperature is 45.9F.
Find the value of the expression below when x=10x2 - 2(x +5)
Answer:
x=10.2-2(×+5)........ given
×=20-2×-10............... avoid the bracket
x=10-2×..............collect the like terms
x+2x=10-2×+2×...... add 2x from both side
3x=10................simplify
3x/3=10/3..........divide both side by 3
x= 3.333.............x is solved
Step-by-step explanation:
i hope it is help full
Find the slope of the line on the graph below
Answer:
\(\frac{6}{5}\)
Step-by-step explanation:
The slope is \(\frac{6}{5}\) because rise/run. You rise up on the graph 6 units, and run 5 units to the right (if the graph went to the left), then your slope would be negative.
Another way to double check this is using the slope formula: \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\).
(-3, -3) is x1, y1. & (2, 3) is x2, y2.
So, plugging that into the formula, we get:
\(\frac{3-(-3)}{2-(-3)}\) = \(\frac{6}{5}\).
Hope that this helped. Have a good day! ☺
*Refresh page, if you cannot see the answer. If it still does not work, the answer is 6/5*
Translate the sentence to an equality a number c increased by 2 is less than or equal to -15
Answer:
c+2 \(\leq\) -15
Step-by-step explanation:
increased by means "+"
less than or equal to means "\(\leq\)"
you are working with the following selection of a spreadsheet: a b 1 customer address 2 sally stewart 9912 school st. north wales, pa 19454 3 lorenzo price 8621 glendale dr. burlington, ma 01803 4 stella moss 372 w. addison street brandon, fl 33510 5 paul casey 9069 e. brickyard road chattanooga, tn 37421 in order to extract the five-digit postal code from burlington, ma, what is the correct function?
The correct function that gives the right syntax for the given data analysis is = RIGHT(B3,5)
Interpret Data Cleaning Analysis:
Data cleaning is defined as the process of fixing or removing data that are incorrect, incorrectly formatted, duplicated, corrupted, or even incomplete data that exists within a dataset.
Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.
Now, from the question, we can see the given data of the spreadsheet with customer names and addresses and as such, we can easily say that the correct syntax is =RIGHT(B3,5).
This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.
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Finding the next terms of an arithmetic sequence with integers The first three terms of an arithmetic sequence are as follows. 10, 13, 16 Find the next two terms of this sequence. help
Answer:
19, 22
Step-by-step explanation:
Because this is an arithmetic sequence, we know there is a constant difference between each value.
To find that difference, lets take two consecutive values, (10 and 13) and subtract them.
13 - 10 = 3
We see the same number if we used
16 - 13 = 3
So the pattern here, is each number + 3.
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
etc.
Trey lost 7 1/12 pounds in
8 weeks. If his weight loss
remained constant each week.
how many pounds did he
lose each week?
Answer:
about 15/16
Step-by-step explanation:
6 cm
6 cm
6 cm
What is the volume of this figure?
Answer: 216 cm³
Step-by-step explanation: Given:— Side of cube is 6cm
To find:-Volume of cube
Solution:—
Volume of cube = side³
Volume of cube=6×6×6=216 cm³
Hope this helps you! Have a great day/night
the slop of (6,2) and (24,8)
Answer:
1/3
in decimal its 0.333333
Step-by-step explanation:
I did it before
If f(x) = x2 and g(x) = 3x - 1, find f(g(x))
Given the following functions:
\(\begin{gathered} f(x)=x^2 \\ g(x)=3x-1 \end{gathered}\)To compose then, is basically use the inside function as the argument.
\(f(g(x))=f(3x-1)\)If we call '3x-1' as 'u'
We know the following
\(\begin{gathered} f(u)=u^2 \\ u=3x-1\Rightarrow f(3x-1)=(3x-1)^2 \end{gathered}\)And this is our answer.
\(f(x)=(3x-1)^2\)Preform the indicated operation 5/4 + 7/9
Answer:
5/4+5/9
45/36 +20/36
65/36
1 30/36
m/STM = 31x - 3
m/MTU = 20x + 5
m/STU = 155 degrees
Find m/MTU.
The Angle ∠MTU from the figure is 65°
What are Angles?The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasizes how the shapes are arranged in relation to one another and their spatial characteristics. We are aware that geometry is divided into 2D and 3D categories. All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces. The distance measured between two lines is referred to as a "Angle" when the rays or lines converge at a single point.
Calculation:Given,
∠STM=31X-3;
∠MTU=20X+5;
∠STU=155°;
From the figure we can say that
∠STU= ∠STM+∠MTU;
⇒ 155=31x-3+20x+5;
⇒155=51x+2;
⇒x=3;
Now substitute x in ∠MTU;
⇒∠MTU=20(3)+5=65°
The Angle ∠MTU from the figure is 65°
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another financial analyst, who also works for the online trading platform, claims their clients have a lower proportion of stock portfolios that contain high-risk stocks. this financial analyst would like to carry out a hypothesis test and test the claim that the proportion of stock portfolios that contain high-risk stocks is lower than 0.10. why is their hypothesis test left-tailed?
The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.
In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.
By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.
Therefore, a left-tailed hypothesis test is appropriate in this scenario.
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The floor area in an Air Force warehouse measures 200 feet by 200 feet. What is the maximum safe floor load if the maximum weight the floor area can hold is 4000 tons?
a. 100 pounds per square foot
b. 120 pounds per square foot
c. 140 pounds per square foot
d. 160 pounds per square foot
e. 200 pounds per square foot
The floor area in an Air Force warehouse measures 200 feet by 200 feet. The maximum safe floor load is (option e) 200 pounds per square foot.
To determine the maximum safe floor load, we need to calculate the maximum weight the floor area can support per square foot.
Given that the floor area measures 200 feet by 200 feet, the total area is 200 * 200 = 40,000 square feet.
If the maximum weight the floor area can hold is 4000 tons, we need to convert tons to pounds since we're calculating the weight per square foot.
1 ton is equal to 2000 pounds, so 4000 tons is equal to 4000 * 2000 = 8,000,000 pounds.
To find the maximum safe floor load per square foot, we divide the total weight by the total area:
Maximum safe floor load = \(\frac{8,000,000 \text{ pounds}}{40,000 \text{ square feet}} = 200 \text{ pounds per square foot}\)
Therefore, the maximum safe floor load is 200 pounds per square foot (option e).
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Identify the independent and dependent variables. Then, write a rule in function notation for the situation, letting x represent the independent variable.
A hair stylist's fee is $20 for each haircut.
Answer:
independent: number of haircuts
dependent: total income
rule: f(x) = 20x
Step-by-step explanation:
Just put the amount the hairdresser is earning and the unknown value together? Lol
A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where each unit on the graph represents one foot. How many feet of fencing will the homeowner need to build the dog pen? A 38+4 the square root of 2. B 54. C 52. D 36+10the square root of 2
Answer: its D
Step-by-step explanation:
A T- shirt company $4000 in fixed expenses and $5 per shirt that the company makes.The company sells the shirts for $45 each.How many shirts must the company sell for its expenses to equal its sales?
Answer:
80
Step-by-step explanation:
45+5 = 50
4000/50 = 80
Hope this is correct and helps :)
A new cylindrical can with a diameter of 4 cm is being designed by a local company. The surface area of the can is 130 square centimeters What is the height of the can? Estimate using 3.14 for x and
round to the nearest hundredth. Apply the formula for surface area of a cylinder SA-28+ Ph
Answer:
The height is 9.73 cm.
Step-by-step explanation:
We can start by finding the radius of the cylinder:
r = d/2 = 4/2 = 2 cm
Then, we can use the formula for the surface area of a cylinder to solve for the height:
SA = 2πrh + 2πr²
130 = 2π(2)(h) + 2π(2)²
130 = 4πh + 8π
122 = 4πh
h ≈ 9.73 cm (rounded to the nearest hundredth)
So the height of the can is approximately 9.73 cm.
A histogram titled Number of texts has time on the x-axis and texts on the y-axis. From 6 a m to 8 a m there were 15 texts, 8 to10 a m: 5, 10 a m to 12 p m: 0, 12 p m to 2 p m: 0, 2 p m to 4 p m: 0, 4 to 6 p m: 29, 6 to 8 p m: 19, 8 to 9 p m, 14, 10 p m to 12 a m: 5.
Which statements are true given the histogram? Check all that apply.
The histogram is symmetrical.
The histogram is evenly distributed.
The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.
The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.
Answer:
The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.
Step-by-step explanation:
From 6 a m to 8 a m there were 15 texts,
8 to10 a m: 5, 10 a m to 12 p m: 0,
12 p m to 2 p m: 0,
2 p m to 4 p m: 0,
4 to 6 p m: 29,
6 to 8 p m: 19,
8 to 9 p m, 14,
10 p m to 12 a m: 5.
Answer:
The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.
Step-by-step explanation:
IM DORA
A researcher puts the name of each person in a sampling frame list on a 3" x 5" card, shuffles the cards thoroughly, and then selects 35 names from the top of the pile of cards for a phone interview study. What type of sampling procedure is being used?​
The sampling procedure that is being used in this case is simple random sampling.
What is sampling?
Sampling refers to the method of choosing a subset of individuals from a population to represent the whole population, with the aim of making inferences or conclusions about the population. The different types of sampling are random, stratified, cluster, and systematic, among others. Simple random sampling, as well as its variants, is the most basic and common method of random sampling.
What is simple random sampling?
Simple random sampling is a probability sampling technique in which every item in the sampling frame has an equal probability of being selected. This means that every element in the population has an equal chance of being included in the sample. The researcher first creates a sampling frame, which is a list of all the elements in the population, and then selects individuals for the sample at random.
The selection of each item is independent of the selection of the others, so the sample is representative of the population and free from bias. In this scenario, each individual's name in the sampling frame list has an equal chance of being picked, thus making it simple random sampling.
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4(x + 2) = 2 (x – 6)
What value of x makes the equation true?
A. 1
B. -7
C.-10
D.8