The scale of a map is 1/8 inch=10 miles. If two cities are 3 inches apart on the map how many miles are they from each other

Answer:

D

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Answer:

[tex]\mu = 5.2[/tex]

[tex]\sigma = 2.257[/tex]

Step-by-step explanation:

Given

[tex]n = 260[/tex] -- samples

[tex]p = \frac{1}{50}[/tex] --- one in 50

Solving (a): The mean

This is calculated as:

[tex]\mu = np[/tex]

[tex]\mu = 260 * \frac{1}{50}[/tex]

[tex]\mu = 5.2[/tex]

Solving (b): The standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\mu * (1-p)}[/tex]

[tex]\sigma = \sqrt{5.2 * (1-1/50)}[/tex]

[tex]\sigma = \sqrt{5.2 * 0.98}[/tex]

[tex]\sigma = \sqrt{5.096}[/tex]

[tex]\sigma = 2.257[/tex]

(Q.1)

[tex]y = \dfrac{C - e^x}{2x} \implies y' = \dfrac{-2xe^x-2C+2e^x}{4x^2} = \dfrac{-xe^x-C+e^x}{2x^2}[/tex]

Then substituting into the DE gives

[tex]\dfrac{-xe^x-C+e^x}{2x^2} = -\dfrac{2\left(\dfrac{C-e^x}{2x}\right) + e^x}{2x}[/tex]

[tex]\dfrac{-xe^x-C+e^x}{2x^2} = -\dfrac{C-e^x + xe^x}{2x^2}[/tex]

[tex]\dfrac{-xe^x-C+e^x}{2x^2} = \dfrac{-C+e^x - xe^x}{2x^2}[/tex]

and both sides match, so y is indeed a valid solution.

(Q.2)

[tex]\ln\left(y^x\right)\dfrac{\mathrm dy}{\mathrm dx} = 3x^2y[/tex]

This DE is separable, since you can write [tex]\ln\left(y^x\right)=x\ln(y)[/tex]. So you have

[tex]x\ln(y)\dfrac{\mathrm dy}{\mathrm dx} = 3x^2y[/tex]

[tex]\dfrac{\ln(y)}y\,\mathrm dy = 3x\,\mathrm dx[/tex]

Integrate both sides (on the left, the numerator suggests a substitution):

[tex]\dfrac12 \ln^2(y) = \dfrac32 x^2 + C[/tex]

Given y (2) = e ³, we find

[tex]\dfrac12 \ln^2(e^3) = 6 + C[/tex]

[tex]C = \dfrac12 \times3^2 - 6 = -\dfrac32[/tex]

so that the particular solution is

[tex]\dfrac12 \ln^2(y) = \dfrac32 x^2 - \dfrac32[/tex]

[tex]\ln(y) = \pm\sqrt{3x^2 - 3}[/tex]

[tex]\boxed{y = e^{\pm\sqrt{3x^2-3}}}[/tex]

(Q.3) I believe I've already covered in another question you posted.

Step-by-step explanation:

how many layers of bricks are used ?

also, I assume, the thickness of bricks means actually their height when laid.

but still, I cannot answer that, as nothing indicates if there is only one layer of bricks or 2 or 3 or 4 or ...

Answer:

different days of the week Do not have the same frequency.

Step-by-step explanation:

Given the data:

Observed values :

Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130).

H0 : frequency are the same

H1 : frequency is not the same

Expected value is the same for all days:

Σ (observed values) * 1/ n

n = number of days in a week. = 7

Expected value = (114+152+160+164+179+196+130) / 7 = 156.428

χ² = Σ (observed - Expected)²/Expected

χ² = (11.508 + 0.125 + 0.082 + 0.366 + 3.257 + 10.01 + 4.465)

χ² = 29.813

The Pvalue(29.813, 6) ;

df = 7 - 1 = 6

The Pvalue(29.813, 6) = 0.000043

α = 0.01

Since, Pvalue < α ; Reject H0 ; and conclude that, different days of the week Do not have the same frequency.

Answer:

The difference is that Marla's exam in her statistics class was graded by percent of correct answers, in her case 70%, while the SAT is graded into a curve, taking other students' grades also into account, and since she scored in the 70th percentile, Marla scored better than 70% of the students.

Step-by-step explanation:

Marla scored 70% on her last unit exam in her statistics class.

This means that in her statistics class, Marla got 70% of her test correct.

When Marla took the SAT exam, she scored at the 70th percentile in mathematics.

This means that on the SAT exam, graded on a curve, Marla scored better than 70% of the students.

Explain the difference in these two scores.

The difference is that Marla's exam in her statistics class was graded by percent of correct answers, in her case 70%, while the SAT is graded into a curve, taking other students' grades also into account, and since she scored in the 70th percentile, Marla scored better than 70% of the students.

Answer:

175 * 2 * [tex]\pi[/tex]

350[tex]\pi[/tex] radians

Step-by-step explanation:

The number of radians completed by the stone will be 350 radians.

The angle subtended from a circle's centre that intercepts an arc with a length equal to the circle's radius is known as a radian.

Given that a grinding stone completes 175 revolutions before coming to a stop.

The number of the revolutions in radians will be calculated as:-

Multiply the number by 2π to convert it into the radians.

Number of revolutions = 175 x 2 x π

Number of revolutions = 350 radians

Therefore, the number of radians completed by the stone will be 350 radians.

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Answer:

Yes

Step-by-step explanation:

volume of cylinder = πr²h

volume = (3.14)(2 ft)²(2.5 ft)

volume = 31.4 ft³

The volume of the cylinder that was built is 31.4 ft³. It should have been 35 ft³. The evidence helps Mac in court.

Answer:

m∠TUV = 105

Step-by-step explanation:

From the question given above, the following data were obtained:

m∠TUN = 1 + 38x

m∠NUV = 66°

m∠TUV = 105x

m∠TUV =?

Next, we shall determine the value of x. This can be obtained as illustrated below:

m∠TUV = m∠TUN + m∠NUV

105x = (1 + 38x) + 66

105x = 1 + 38x + 66

Collect like terms

105x – 38x = 1 + 66

67x = 67

Divide both side by 67

x = 67 / 67

x = 1

Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:

m∠TUV = 105x

x = 1

m∠TUV = 105(1)

m∠TUV = 105

Answer:

Step-by-step explanation:

Take the first real number and keep a decimal point to the right of it. Write the number after it.

Put a multiplication symbol and then 10.

Now count the number places to the right of the first real number and the number of place will be the power of 10.

If , number of place are before the first real number, then the power of 10 will be negative.

0.0009 = 9 * 10⁻⁴

12 = 1.2 *10

1000 = 1* 10³

0.03 = 3 *10⁻²

120  = 1.2 * 10²

1.12 = 1.12 *10⁰

Answer:

ab = 21

Step-by-step explanation:

[tex](a - b)^2 = (a^2 + b^2 ) - 2ab\\\\4^2 = 58 - 2ab\\\\16 - 58 = - 2ab\\\\- 42 = - 2ab\\\\ab = \frac{-42}{-2} = 21[/tex]

Step-by-step explanation:

Th value of ab is 21

Explanation is in the attachment

hope it is helpful to you ☺️

thank you for giving me a chance to answer your question

Answer:

The answer is C.

as for C . the value of f(x) increases by 7 and so the graph goes up by units 7.

OR

g(x) = |x| + 7

we know that |x| is f(x), so :-

g(x) = f(x) + 7

and since f(x) is plot on y- axis the graph climbs the y axis by 7 units

*The graph shifts right or left for the other functions*

Answer:

The ANSWER is 18*3= 54

Step-by-step explanation:

total angle inside pentagon = 540 degrees so 3(8x)+2(3x)=540 and that is 30x=540

Answer:

C = 144

Step-by-step explanation:

A 5 sided figure has the interior angle sum of 540 degrees

8x+8x+8x+3x+3x = 540

Combine like terms

30x= 540

30x/30 = 540/30

x = 18

<C = 8*18 = 144

Answer:

100

Step-by-step explanation:

Let mark to be scored in fourth =x

but since the total will be more or above we will have the sign

[tex] \geqslant [/tex]

[tex]91 + 85 + 84 + x \div 4 \geqslant 90[/tex]

[tex]260 + x \div 4 \geqslant 90[/tex]

L.c.m =4 ( cross multiplying)

260+xtex 90*4

260+xtex 360

x tex 360-260

x tex 100

The value of the lowest score Jane can make on her fourth and final quiz is, 100

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

Jane has earned a 91, 85, and 84 on her first three quizzes of the semester.

And,  she hopes to have an A quiz average (90 or above).

Let us assume that;

her fourth and final quiz = x

Hence, We get;

(91 + 85 + 84 + x) / 4 = 90

260 + x = 360

x = 360 - 260

x = 100

Thus, the lowest score Jane can make on her fourth and final quiz is,

x = 100

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Answer:

The answer is A

Step-by-step explanation:

Hope this helps

Answer:

ii

Step-by-step explanation:

you have to look and read it it comes simple

This is one single number. The number is slightly larger than 163 thousand.

====================================================

Explanation:

Consider four slots labeled A,B,C,D

We have....

There's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.

If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.

However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185

This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.

Answer:

I think the answer is 100 because nothing greater than 200 if its rounded hope this helped if not sorry

Answer:

74 inches

Step-by-step explanation:

1 foot is 12 inches, so 6 x 12 = 72, and just add the other 2 inches to get 74 inches.

Answer:

74 inches.

Step-by-step explanation:

Each foot has 12 inches, so multiply 6 by 12 to get 72 inches. Then add the remaining two inches to get a total of 74 inches.

Answer:

hey hi mate

Ur answer is

Step-by-step explanation:

u have to think

hope u like it

plz mark it as brainliest

tiene 40 años de edad

bond 40

jude 20

joh 30

40+20+30 = 90

Step-by-step explanation:

f(x) = 3 - 4x

f(1+a)= 3-4(1+a)

=3-4+4a

=4a-1

Answer:

B. angle with the greatest measure

opposite the largest angle

Answer:

2x + 3y -3=0

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies 2x - 3y = 13 [/tex]

Now convert it into slope intercept form to get the slope , we get ,

[tex]\implies 3y = 2x - 13 \\\\\implies y =\dfrac{2}{3}x -\dfrac{13}{2}[/tex]

Therefore the slope is ,

[tex]\implies m = \dfrac{2}{3} [/tex]

We know that the product of slope of perpendicular lines is -1 . Therefore the slope of the perpendicular line will be ,

[tex]\implies m_{perpendicular}= -\dfrac{2}{3} [/tex]

Now one of the point is (-6,5) .On Using point slope form , we have ,

[tex]\implies y-y_1 = m( x - x_1) \\\\\implies y - 5 = -\dfrac{2}{3}( x + 6 ) \\\\\implies 3y - 15 = -2x -12

\\\\\implies 2x + 3y -15+12=0 \\\\\implies \underline{\underline{ 2x + 3y -3=0 }}[/tex]

Answer:

y = - [tex]\frac{3}{2}[/tex]x - 4

Step-by-step explanation:

2x – 3y = 13

3y = 2x + 13

y = [tex]\frac{2}{3}[/tex]x + [tex]\frac{13}{3}[/tex]

slope = 2/3

negative reciprocal = -3/2

y = -3/2x + b

(-6, 5)

5 = (-3/2)(-6) + b

5 = 9 + b

b = -4

y = -3/2x - 4

Answer:

5886 cm

Step-by-step explanation:

start by finding 55% of 110 which is 60.5. then subtract by 7 and then you get 53.5

then multiply 53.5 by 110 = 5885 cm

Hello,

there are 5 differents sums:

16,18,20,22,24.

-------------------------------------------------------

Dim i As Integer, j As Integer, k As Integer, l As Integer, u As Integer, v As Integer, nb As Integer

Dim mat(4, 4) As Integer

nb = 0

For i = 1 To 4

   For j = 1 To 4

       If j <> i Then

           For k = 1 To 4

               If k <> j And k <> i Then

                   l = 10 - k - j - i

                   If l > 0 And l < 5 And l <> i And l <> j And l <> k Then

                       mat(1, 1) = i

                       mat(1, 2) = j

                       mat(1, 3) = k

                       mat(1, 4) = l

                       For u = 2 To 4

                           For v = 1 To 4 - u + 1

                               mat(u, v) = mat(u - 1, v) + mat(u - 1, v + 1)

                           Next v

                       Next u

                       'Call visu(mat())

                       nb = nb + 1

                       Print nb,

                       mat(4, 1)

                   End If

               End If

           Next k

       End If

   Next j

Next i

End

Sub visu (m() As Integer)

   Dim i As Integer, j As Integer

   For i = 1 To 4

       For j = 1 To 4 - i + 1

           Print m(i, j);

       Next j

       Print

   Next i

End Sub

Answer:

NO

Step-by-step explanation:

NO

Answer:

2.409

Step-by-step explanation:

㏑ 9 = 2.2

ln 200 = 5.3

[tex]ln 9 = log_{e}9\\ln 200 = log_{e}200[/tex]

[tex]log_{9}200 = \frac{log_{e}200}{log_{e}9}[/tex]

           = [tex]\frac{5.3}{2.2}[/tex]

           = 2.409

The approximate value of log 200 would be; 2.409

When we raise a number with an exponent, there comes a result.

Let's say you get  a^b = c Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows [tex]b = \log_a(c)[/tex]'a' is called the base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We have given the values in 9 = 2.2 and 200 – 5.3

We need to find the approximate value of log, 200.

Therefore,

㏑ 9 = 2.2

ln 200 = 5.3

[tex]ln 9 = log_{e}9\\\\ln 200 = log_{e}200[/tex]

Using the logarithm property;

[tex]log_{9}200 = \dfrac{log_{e}200}{log_{e}9}\\ = \dfrac{ln 200}{ln 9}\\ = \dfrac{5.3}{2.2}[/tex]

=  2.409

Hence, the approximate value of log, 200 would be; 2.409

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Answer:

The answer is 65

Step-by-step explanation:

Evaluate:

8x + 9

When x = 7

Use PEMDAS order of operations:

8x + 9

= 8(7) + 9

= 56 + 9

= 65

Hope this helps