The distance between two cities on a map is 5.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers. What is the actual distance between these two cities in kilometers?
Answer:
82.5 kilometers
Step-by-step explanation:
15×5.5= 82.5 kilometers
Which equation describes the circle
with center (5,-1) and radius 7?
A (x - 5)' + (y +1)* = 7
B (x - 5)* + (y + 1)* = 49
(x + 5) * + (y - 1) = 7
D(x + 5)' + (y - 1)' = 49
Answer:
B. (x-5)²+(y+1)² = 49
Step-by-step explanation:
An equation of a circle with center (h, k) and radius r is
[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]
We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7
Substitute these values in
[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]
So the answer is B choice.
a letter in the word restoration is randomly selected. what is the probability of selecting a vowel
For a linear regression, what is the r-value of the following data to three
decimal places?
х
у
1
4
2
6 9
11
10
16
12
14
A. 0.665
B. -0.816
C. 0.816
D. -0.665
For a linear regression,
the value of r of the following data to three decimal places is 0.816.
The correct option is C.
What is a correlation coefficient?The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.
A table is given.
For a linear regression analysis.
The calculation for mean and their sum is given in the attached image.
And the value of r is 0.816.
Therefore, the value of r is 0.816.
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Sixteen percent of videos are shorter than what
length?
The graph shows the distribution of the lengths (in
seconds) of videos on a popular video streaming site.
The distribution is approximately Normal, with a mean
of 264 seconds and a standard deviation of 75
seconds.
O 39 seconds
O 114 seconds
O 189 seconds
O 339 seconds
Streaming Videos
Answer:
189 seconds
Step-by-step explanation:
16% shorter,
Left side first and second group is 2.5% and 13.5% = 16%
189 is the max of that group
16% of videos on the streaming site are shorter than 189 seconds.
To determine the length at which 16% of videos are shorter, we can use the properties of a normal distribution.
Given that the mean length is 264 seconds and the standard deviation is 75 seconds, we can use a Z-score to find the corresponding percentile.
First, we need to find the Z-score associated with the 16th percentile. This can be done using a Z-table or a statistical calculator. The Z-score corresponding to the 16th percentile is approximately -0.9945.
Using the formula for Z-score:
Z = (X - μ) / σ,
where X is the length of the video, μ is the mean, and σ is the standard deviation, we can rearrange the formula to solve for X:
X = Z * σ + μ.
Substituting the values:
X = (-0.9945) * 75 + 264,
X ≈ 189 seconds.
Therefore, approximately 16% of videos on the streaming site are shorter than 189 seconds. So, the correct answer is 189 seconds.
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I don’t understand what to do because this is worded very strangely. Could somebody help?
In a survey, 200 college students were asked whether they live on campus and if they own a car. Their responses are
summarized in the following table
Is there evidence that college students who don't own a car tend to not live on campus more than students who live on
campus?
A. Yes, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.
B. Yes, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
C. No, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
D. No, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.
write 7.5^{1.25} as a radical
Answer:
[tex]\sqrt[4]{7.5^{4} }[/tex]
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]7.5^{1.25}[/tex]
= [tex]7.5^{\frac{5}{4} }[/tex]
= [tex]\sqrt[4]{7.5^{4} }[/tex]
[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].
What are exponent rules?Exponent rules, which are also known as the 'laws of exponents' or the 'properties of exponents' make the process of simplifying expressions involving exponents easier. These rules are helpful to simplify the expressions that have decimals, fractions, irrational numbers, and negative integers as their exponents.
Given
[tex]7.5^{1.25}[/tex]
We can write 1.25 is [tex]\frac{5}{4}[/tex]
[tex]7.5^{\frac{5}{4} }[/tex]
Using the rule of exponents/radicals
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
[tex]7.5^{\frac{5}{4} }[/tex] = [tex]\sqrt[4]{7.5^{5} }[/tex]
[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].
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Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each
statement.
Answer:
[tex]Pr = 0.50[/tex]
Step-by-step explanation:
Given
[tex]n = 30[/tex]
[tex]H = 21[/tex]
[tex]T = 9[/tex]
See attachment for complete question
Required
[tex]P(H)[/tex]
The question requires that we calculate the theoretical probability of landing on the head.
This means that, we have to ignore the given data, and we use the following
[tex]S =\{H,T\}[/tex] --- sample space
[tex]n(S) = 2[/tex] --- sample size
[tex]n(H) = 1[/tex] --- occurrence of Head
So, the theoretical probability is:
[tex]Pr = n(H)/n(S)[/tex]
[tex]Pr = 1/2[/tex]
[tex]Pr = 0.50[/tex]
The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
A guitar string has a lenght of 0.5 m. If the string is vibrating with a wavelength of 0.25 m, what harmonic is it vibrating at?
1st
4th
Зrd
2nd
Answer:
4th
Step-by-step explanation:
string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.
You have a can that is in the shape of a cylinder. It has a volume of about 1,728 cubic centimeters. The height of the can is 22 centimeters. What is the approximate length of the radius? Use 3.14 for pi.
Answer:
v=pi.r^2.h
1728=3.14*22r^2
1728/69.08=r^2
r^2=25.0144
r=5
Austin drove 819 miles in 13 hours. At the same rate, how long would it take him to drive 693 miles?
Answer:
11 hours
Step-by-step explanation:
819 miles/13 hours = 63 mph
693 miles/63 mph = 11 hours
Weight/Calories per Day 1000 to 1500 cal. 1500 to 2000 cal. 2000 to 2500 cal. Total 120 lb. 90 80 10 180 145 lb. 143 35 25 203 165 lb. 15 27 75 7 117 Total 140 250 110 500 Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day?
A. 0.09
B. 0.12
C. 0.22
D. 0.35
Answer:
its A
Step-by-step explanation:
The probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Given that:
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
per Day
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
Hence, Total no. of person consumes 2000 to 2,500 calories in a day = 110
And, Total = 500
Now the probability that a person consumes 2,000 to 2,500 calories in a day :
⇒ 110 / 500
⇒ 0.22
Hence the probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.
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What two numbers equal 6 when multiplied but equal —7 when added?
Answer:
-1 , -6
Step-by-step explanation:
Let x be the first number and let y be the second number.
x * y = 6
x + y = -7
Let's first find the factor pairs of 6.
1, 6
2, 3
-1, -6
-2, -3
Now, we just need to take each factor pair and add them together and see which one equals -7.
1 + 6 = 7, so that is wrong.
2 + 3 - 5, so that is also wrong.
-1 - 6 = -7, so this is our answer (-2 and -3 added is -5, which is wrong).
Therefore, our answer is -6 and -1.
PLEASE HELP!!!!!! !!!:!;!!;!
Answer: the dark blue one
Step-by-step explanation:
Determine which of the two acute angles has a cosine of 4/5.
Answer:
CosA = 4/5
Step-by-step explanation:
The acute angle with cosine of 4/5
Recall from trigonometry ;
Cosine = Adjacent / hypotenus
From the right angled triangle Given:
For angle A :
Opposite = BC = 8
Hypotenus = AC = 10
Cos A = BC / AC = 8 /10 = 4 /5
CosA = 4/5
For C :
Opposite = AB = 6
Hypotenus = AC = 10
Cos C = 6 /10 = 3 /5
Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.
Answer:
Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.
Step-by-step explanation:
Answer:
The foam rolls across the lonely ocean. : Consonance
I can't forget the letter that you sent last night: Consonance
In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance
Step-by-step explanation:
Hope this helps :D
hey! i’ll give brainliest please help!
Answer:
Iran
Step-by-step explanation:
Answer:
Iran
Step-by-step explanation:
Empire that dominated Mesopotamia from about 550 to 330 BCE. Most of the ancient Persian empire is in modern-day Iran.
If this helped, please give brainliest!
How long will it take you to double an amount of $500 if you invest it at a rate of 4% compounded monthly?
Answer:
Number of year = 17 year 4 month (Approx.)
Step-by-step explanation:
Given:
Current amount = $500
Future amount = 2 x 500 = $1,000
Rate of interest = 4%
Find:
Number of year
Computation:
Rate [Monthly] = 4% / 12 = 0.00333
Total time = 12 x n = 12n
A = P[1+r]¹²ⁿ
1000 = 500[1+0.003333]¹²ⁿ
2 = [1+0.003333]¹²ⁿ
2 = [1.003333]¹²ⁿ
Number of year = 17.358
Number of year = 17 year 4 month (Approx.)
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answer:
As decimal 20.5833333333
As fraction [tex]20[/tex] [tex]\frac{7}{12}[/tex]
mark me as brainliest if right :)
Step-by-step explanation:
Conversion a mixed number 10 2/
3
to a improper fraction: 10 2/3 = 10 2/
3
= 10 · 3 + 2/
3
= 30 + 2/
3
= 32/
3
To find new numerator:
a) Multiply the whole number 10 by the denominator 3. Whole number 10 equally 10 * 3/
3
= 30/
3
b) Add the answer from previous step 30 to the numerator 2. New numerator is 30 + 2 = 32
c) Write a previous answer (new numerator 32) over the denominator 3.
Ten and two thirds is thirty-two thirds
Conversion a mixed number 9 11/
12
to a improper fraction: 9 11/12 = 9 11/
12
= 9 · 12 + 11/
12
= 108 + 11/
12
= 119/
12
To find new numerator:
a) Multiply the whole number 9 by the denominator 12. Whole number 9 equally 9 * 12/
12
= 108/
12
b) Add the answer from previous step 108 to the numerator 11. New numerator is 108 + 11 = 119
c) Write a previous answer (new numerator 119) over the denominator 12.
Nine and eleven twelfths is one hundred nineteen twelfths
Add: 32/
3
+ 119/
12
= 32 · 4/
3 · 4
+ 119/
12
= 128/
12
+ 119/
12
= 128 + 119/
12
= 247/
12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 12) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 12 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - thirty-two thirds plus one hundred nineteen twelfths = two hundred forty-seven twelfths.
Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles
Answer: 0.5
Step-by-step explanation:
Given
There are 3 blue and 1 yellow marble
The chance of picking two marble out of 3 is [tex]^3C_2[/tex]
The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]
Therefore, the probability of picking 2 blue marbles
[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]
Evaluate a + 4 when a =7
Answer:
11
Step-by-step explanation:
7 + 4 = 11
Answer:
11
Step-by-step explanation:
If a = 7, then a + 4 = 7 + 4 = 11
Hope that this helps!
iready question 8 which graph does not represent a function
Answer:
The one that makes a circle
Step-by-step explanation:
What is the answer to the question?can you help me solve
A circle has a radius of 6 cm. What is the area of the circle in terms of π?
Answer:
okay shdirnsjsjjsjjddjdjjdjdjjdddjd
I literally forgot how to do this plz help ASAP
Answer:
3/8
Step-by-step explanation:
3/10 ÷ 4/5
Copy dot flip
3/10 * 5/4
Rewriting
3 /4 * 5/10
3/4 *1/2
3/8
Answer:
B
Step-by-step explanation:
flip the 4/5 to 5/4 and multiple instead of divide to give you
= 3/10 x 5/4
Multiply denominators and numerators by each other (3 x 5 and 10 x 4) to give you
= 15/40
SImplify and your answer is
= 3/8
can i please have help ill give brainlist (pic below)
Answer:
A
Step-by-step explanation:
Because we are reflecting across the X-axis, the X coordinate does not change. On the other hand, the Y coordinate becomes its opposite. So we get:
(2, 4) -> (2, -4)
Answer:
I believe the answer is B
Step-by-step explanation:
Number of Movies Watched per Month 10, 8, 4, 2, 6, 8, 9 What is the median of the data set
Answer:
8
Step-by-step explanation:
first you put the data in order :
2 , 4 , 6 , 8 , 8 , 9 , 10
then the middle number in the data is the median which in this case is 8 ( if you've got 2 middle numbers then you add both of them and divide by 2 )
Determine the lateral surface area and the total surface for the pyramid. Round your answer to the nearest whole number.
Separate your answers with a comma.
Answer:
[tex]L = 704[/tex]
[tex]S = 832[/tex]
Step-by-step explanation:
Given
[tex]H = 22[/tex] --- Height
[tex]W = 8[/tex] --- Width
[tex]L=8[/tex] ---- Length
Solving (a): The lateral surface area (L)
This is calculated as:
[tex]L = 2 * (L + W) * H[/tex]
This gives:
[tex]L = 2 * (8 + 8) * 22[/tex]
[tex]L = 2 * 16 * 22[/tex]
[tex]L = 704[/tex]
Solving (b): The total surface area (T)
This is calculated as:
[tex]S = 2 * (LW + WH + LH)[/tex]
This gives:
[tex]S = 2 * (8*8 + 8*22+ 8*22)[/tex]
[tex]S = 2 * (64 + 176+ 176)[/tex]
[tex]S = 2 * 416[/tex]
[tex]S = 832[/tex]
Hi guys it's nothing much but please help me out for braniest and 50 points NO LINK'S thank you
Answer:
Step-by-step explanation:
1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.
2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.
5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.
Answer:
4.ADE /// ABC (same <s)
<D = <B (corresponding <s)
<E = <C (corresponding <s)
ADE and ABC share A as the same < so all <s are = (AAA )