The scale on a map indicates that 1 inch corresponds to an actual distance of 75 miles. Two cities are 5.5 inches apart on the map. What is the actual distance between the two cities?

Answers

Answer 1

Answer:

412.5

Step-by-step explanation:

Answer 2

Answer:

[tex]412.5[/tex] miles

Step-by-step explanation:

Since 1 inch=75 miles you just multiply [tex]75*5.5[/tex] to get how many miles 5.5 inches is.


Related Questions

please help me with geometry

Answers

Answer:

x = 8

Step-by-step explanation:

Set 2x + 3 = 3x - 5

Solve for x

x = 8

The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounce. a. What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces? b. What percentage of the items weighs between 4.8 and 5.04 ounces? c. Determine the minimum weight of the heaviest 5% of all items produced. d. If 27,875 items of the entire production weigh at least 5.01 ounces, how many items have been produced?

Answers

Answer:

The right solution is:

(a) 0.8849

(b) 12.28%

(c) 4.9935

(d) 28004

Step-by-step explanation:

Given:

Mean,

= 4.5

Standard deviation,

= 0.3

(a)

P(x > 4.14)

As we know,

⇒ [tex]z = \frac{4.14-4.5}{0.3}[/tex]

      [tex]=-1.20[/tex]

then,

⇒ [tex]P(z>-1.20) = P(z<1.20)[/tex]

                          [tex]=0.8849[/tex]

(b)

P(4.8 < x < 5.04)

= [tex]P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )[/tex]

= [tex]P(1<z<1.80)[/tex]

= [tex]P(z<1.80)-P(z<1)[/tex]

= [tex]0.9641 -0.8413[/tex]

= [tex]0.1228[/tex]

or,

= [tex]12.28[/tex] (%)

(c)

P(x > x) = 0.05

z value will be,

= 1.645

⇒ [tex]1.645 = \frac{x - 4.5}{0.3}[/tex]

         [tex]x = 4.9935[/tex]

(d)

P(x < 5.01)

⇒ [tex]z = \frac{x- \mu}{\sigma}[/tex]

      [tex]=\frac{5.01-4.5}{0.3}[/tex]

      [tex]=1.7[/tex]

P(z < 1.70) = 0.9554

⇒ [tex]n = \frac{27875}{0.9954}[/tex]

       [tex]=28004[/tex]

what is factorization of the trinomial below? -x2+2x+48

Answers

Answer:

-(x+6) (x-8)

Step-by-step explanation:

-(x^2-2x-48)

two values the multiply to get 48 and the difference of those two numbers gives you -2.

6,-8

6 x -8 =-48

6-8=-2

In this case we factored out the negative so leave it outside

-(x+6) (x-8)

Answer:

-1(x-8)(x+6) is the answer just took the test

Step-by-step explanation:

fridays high temp was -1. the low temp was -5. what was the difference between the high and low temps

Answers

Answer:

4

Step-by-step explanation:

count up from -5 to -1

so -5,-4,-3,-2,-1 and there are four numbers excluding-5

in aremethic, variables look like

Answers

Variables look like the letters of the alphabet

A simple random sample of 41 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts​(a) through​ (d) below.
a. Identify the null and alternative hypotheses.
b. Compute the test statistic; χ2 = ___ ​(Round to three decimal places as​ needed.)
c. Find the​ P-value; ​P-value = ____ ​(Round to four decimal places as​ needed.)
d. State the conclusion. (choose one from each ( x, y) set)
(Do not reject, Reject) Upper H0​, because the​ P-value is (greater than, less than, or equal to) the level of significance. There is
(sufficient, insufficient) evidence to warrant rejection of the claim that the standard deviation of​ men's pulse rates is equal to
10 beats per minute.

Answers

Answer:

H0 : σ²=10²

H1 : σ²>10²

χ² = 45.796

Pvalue = 0.2442

Do not reject H0 because Pvalue is greater Than significance level

There is insufficient evidence to warrant rejection of the claim that the standard deviation of​ men's pulse rates is equal to 10 beats per minute.

Step-by-step explanation:

Given that :

Sample size, n = 41

Sample standard deviation, s = 10.7

Population standard deviation, σ = 10

Significance level, α = 0.10

The Hypothesis :

H0 : σ²=10²

H1 : σ²>10²

Using the χ² test for population variance :

The test statistic, χ² = (n-1)*s²/σ²

χ² = (41 - 1) * 10.7²/ 10²

χ² = (40 * 114.49) / 100

χ² = 4579.6 / 100

χ² = 45.796

The Pvalue ;

df = n - 1 ; 41 - 1 = 40

Pvalue(45.796, 40) = 0.2442

Since Pvalue > α ; WE fail to reject H0

Do not reject H0 because Pvalue is greater Than significance level

There is insufficient evidence to warrant rejection of the claim that the standard deviation of​ men's pulse rates is equal to 10 beats per minute.

A scale drawn on the map shows that 1 inch represents 40 miles. If tuo cities
are 25 inches apart on the map, what is the distance between them in real
life?

Answers

Answer:

Im pretty sure its 1,000 miles (dont forget the unit)

Step-by-step explanation:

Determine if this problem is a inverse variation or direct variation problem! This means that:

equation would be:

1=40

25=x

cross multiply*

x=25*40

x=1,000 miles apart! (dont forget the unit)

If this doesnt work then try this equation!

1=40

25=x

Multiply 1*40 and 25 *x

40=25x......    

40/25= 1.6

x=1.6! (Extra step)

Cheers!

Answer: 100 Miles

Step-by-step explanation: took the miles and got it correct.

(Also it's 2.5 inches apart, not 25.)

pls help me with this. You need to graph the equation or smt

Answers

photo math will help stg
have a good day

Which equation describes this graph?

Answers

Step-by-step explanation:

The graph clearly has a positive slope. So Answer D couldn't be correct. Next: the y-intercept of this line is (0, -2), so b in the formula y = mx÷ b must be -2.

Therefore the correct equation of this line is

y = x - 2 (choice a)

Area of a triangle
A/12 = 12/12bh
solve for b ​

Answers

Step-by-step explanation:

I hope this works for ya.

Find the quotient of -196/4

Answers

Answer:

this is the answer

Step-by-step explanation:

thank you

Answer:

-196/4 = -49

Step-by-step explanation:

Mental math. If you can't do that then use a calculator. It's faster to type it in on g oogle

AM and CM
BM and BM
AB and CB

Answers

These are variables on your graph

To host an event at a popular convention center, it costs $300 plus $45 per person attending. Step 1 of 3 : Write a rational expression that represents how much you would need to charge each attendee in order to cover the cost of hosting the event. Let x be the number of attendees.

Answers

Answer: (300 + 45x) / x

Step-by-step explanation:

Based on the information given in the question, the total cost will be the addition of the fixed cost and the variable cost which will be:

= 300 + (45 × x)

= 300 + 45x

The amount that needs to be charge for each attendee in order to cover the cost of hosting the event will be:

= (300 + 45x) / x


1 What is the product of 2r^2- 5 and 3r

Answers

Answer:

Step-by-step explanation:

3r(2r^2 - 5)

6r^(2 + 1) - 5*3r

6r^3 - 15r

Charlie is watching hot air balloons. Balloon A has risen at a 56° angle. Balloon B has risen at an 81° angle. If the distance from balloon A to the ground is 1,200 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number. Two points labeled Balloon A and Balloon B are connected to a point labeled Charlie, which is on a straight line labeled ground. A dashed line connects point Balloon A to line Ground; another dashed line connects point Balloon B to line ground; both dashed lines form a right angle with line Ground; the angle formed from point Balloon A, point Charlie, and line ground measures x degrees; and the angle formed by point Balloon B, point Charlie, and line Ground measures y degrees.

A) 999 feet
B) 1,005 feet
C) 1,052 feet
D) 1,102 feet

Answers

The distance between Balloon B and Balloon A is 999 feet (correct to the nearest whole number); that is, Balloon B is 999 feet from balloon A

The diagram for the question is shown as described in the question in the attachment below.

From the diagram,

Let the height from balloon A to the ground be /AG/ and the height from balloon B to the ground be /BD/ and the point where Charlie is be C

/AG/ = 1200 feet

/AG/ = /BD/ = 1200 feet ( as shown in the diagram)

The distance between the two balloons is equal to /GD/

Also, from the diagram, /GD/ = /GC/ + /CD/

To find /GC/,

Consider ΔAGC

/AG/ = 1200 feet

/GC/ = ?

From the question, "Balloon A has risen at a 56° angle"

∴ x° = 56°

Using the formula

[tex]tan(x^{o} ) = \frac{/AG/}{/GC/}[/tex]

[tex]tan(56^{o}) = \frac{1200}{/GC/}[/tex]

[tex]/GC/ = \frac{1200}{tan(56^{o}) }[/tex]

/GC/ = 809.41 feet

To find /CD/

Consider ΔBCD

/BD/ = 1200 feet

/CD/ = ?

From the question, "Balloon B has risen at a 81° angle"

∴ y° = 81°

Using the formula

[tex]tan(y^{o} ) = \frac{/BD/}{/CD/}[/tex]

[tex]tan(81^{o}) = \frac{1200}{/CD/}[/tex]

[tex]/CD/ = \frac{1200}{tan(81^{o}) }[/tex]

/CD/ = 190.06 feet

Now, recall that /GD/ = /GC/ + /CD/

∴ /GD/ = 809.41 feet + 190.06 feet

/GD/  = 999.47 feet

/GD/ ≅ 999 feet (to  the nearest whole number)

Hence, the distance between the two balloons is 999 feet

Balloon B is 999 feet from balloon A.

Learn more here: https://brainly.com/question/15979174

Answer:

999 Units

Step-by-step explanation:

Please help me will vote the person who does brainiest person or something

Answers

Answer:

quadratic

y=mx+c

Step-by-step explanation:

It’s exponential. For sure

Please how do I solve this.

Answers

Answer:

Horizontal Shift: Right 1

Vertical Shift: Down 5

Reflection: None

Explanation: To find the transformation, compare the function to the parent function (being in this case g(x)=1/x) and check to see if there is a horizontal or vertical shift or a reflection.

So, the answer would be Right 1, and down 5

Hope this helps you out :)

right 1,down 5 is the answer

Identify the errors made in the finding the inverse of y= x^2 +12x
X= y^2+12x
Y^2= x- 12x
Y^2 = -11x
Y=√11x, for x greater than or equal to 0

Answers

9514 1404 393

Answer:

  y was not substituted for every x

Step-by-step explanation:

To find the inverse of ...

  y = f(x)

you need to solve ...

  x = f(y)

Here, f(x) = x^2 +12x, so f(y) = y^2 +12y

This is not the expression we see on the right of ...

  x = y^2 +12x

Apparently y was not properly substituted into f(x).

Jan needs 1/3 of chocolate chips to make cookies and 3/4 cup to make brownies. How many cups does she need altogether?

Answers

Answer:

She needs 1½ cups

Step-by-step explanation:

Number of cups she needs altogether = 1/3 + 3/4 =(4+9)/12 = 13/12 = 1½

1/3 + 3/4 = 4/12 + 9/12 = 13/12 = 1 1/12 cups (one and a twelfth)

The question is attached, please help.

Answers

Answer:draw a triangle

Step-by-step explanation:

Question 6 a-c if plz show ALL STEPS like LITERALLY EVERYTHING

Answers

9514 1404 393

Answer:

  a) quadrant III

  b) 4π/3, -2π/3

  c) (1/2, (√3)/2)

  d) ((√3)/2, -1/2

Step-by-step explanation:

a) The attachment shows the point P and the numbering of the quadrants (in Roman numerals). Point P lies in quadrant III.

__

b) Measured counterclockwise, the angle to point P is 240° or 4π/3 radians. Measured clockwise, the angle is -120° or -2π/3 radians. In the diagram, these are shown in green and purple, respectively.

__

c) Adding π/2 to the angle 4π/3 or -2π/3 brings it to 11π/6, or -π/6. This point is marked as P' (blue) on the diagram. The coordinate transformation for π/2 radians CCW rotation is ...

  (x, y) ⇒ (-y, x)

  P(-1/2, -√3/2) ⇒ P'(√3/2, -1/2)

In terms of trig functions, the coordinates of the rotated point are ...

  P'(cos(-π/6), sin(-π/6)) = P'(√3/2, -1/2)

__

d) Adding or subtracting π radians to/from the angle moves it directly opposite the origin. Both coordinates change sign. This point is P'' (red) on the diagram.

Aliana is supposed to get back to a customer with an answer about a refund by the end of the day, but she won't have all the approvals she needs to process the refund by that time. What should she do? O a) Call the customer only when she has processed the refund Ob Tell the customer that she should have called about the problem earlier Oc) Explain to the customer that her bosses are the ones that are taking forever O di Apologize to the customer and say that she will call her tomorrow with an update

Answers

Answer:

"ob" is the answer of this long question

Answer:

D

Step-by-step explanation:

reason:

not A cuz the customer has to wait for a long time, and she feel waste of time

not B cus it's the store's responsiblity, not customer. if she said that, the customer would feel be disrespected. and i swear she never comes back that store.

C if she said that, customer also feel waste of time when she has to talk with Aliana who cant solve her problem

and the boss will think Ali couldnt have no problem-solving skills


How many significant figures are there in the number: 76000?

Answers

Answer:

2 significant figures  

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2

Only the 7 and the 6 are significant. The zeros are place holders and not significant figures.

According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

Answer:

A, C, and F

Step-by-step explanation:

The solution is, A and D are the correct statements.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

to know which are the following statements are true:

We know that when f(x) is divided by (x - h) then f(h) is the remainder.

In option  A f(-7) is the remainder which gives the value 8.

So, option A is correct.

Here the value x = 7 does not satisfy the function.

When we put x = 7 in the function it is coming 99

So, option B and C are wrong.

On putting x = -7 in the function we are getting 8

So options D is correct

Again, the value of f(7) is 99.

So, (x - 7) when divides the given function, 8 is not the remainder.

So, option E is wrong.

Hence, The solution is, A and D are the correct statements.

Find more about "Division of functions" here:

brainly.com/question/25289437

#SPJ7

If a= -5 and b= -2,then what is the value of [a-b]2

Answers

substitute= -5–2 x 2
solve= 10x2
=20

Step-by-step explanation:

Substitute the values of a and b into [a-b]2

= [-5-(-2)]2

= [-5+2]2

= [-3]2

= -6

-2y^2 - (y^2 + y) answer please

Answers

Answer:

The answer is −3y^2−y.

Steps:

Distribute the Negative Sign:

=−2y2+−1(y2+y)

=−2y2+−1y2+−1y

=−2y2+−y2+−y

Combine Like Terms:

=−2y2+−y2+−y

=(−2y2+−y2)+(−y)

=−3y2+−y

Answer:

-3y^2 - y

Step-by-step explanation:

-2y^2 - (y^2 + y)

Find the opposite of y^2 + y, so distribute the negative sign to the values inside the parentheses to get:

−2y^2 −y^2 − y

Then combine like terms to get:

-3y^2 - y

Find the area of the shape below

Answers

Answer:

The shape could be divided into a rectangle and a trapezoid.

b= 9-(5+2)

b= 2

Area= [tex](3.5\times 9)+1/2(b_1+b_2)h[/tex]

[tex]= [31.5+1/2(9+2)(2)] \:units^{2}[/tex]

[tex]=42.5\ units^{2}[/tex]

OAmalOHopeO

Simplify the following expression.
(1565)
———-
(562)3

Answers

it simplify to 8.35409

Which expression describes this graph?

A. x -5
B. x -5
C. x < -5
D. x > -5

Answers

Answer:

C

Step-by-step explanation:

The equation that described the graph is x<-5

Which expression is equivalent to
-32 3/5
-8
-3/325
3/325
1/8

Answers

Answer:

[tex]-32^\frac{3}{5} = -8[/tex]

Step-by-step explanation:

Given

[tex]-32^\frac{3}{5}[/tex]

Required

The equivalent expression

We have:

[tex]-32^\frac{3}{5}[/tex]

Rewrite as:

[tex]-32^\frac{3}{5} = (-32)^\frac{3}{5}[/tex]

Expand

[tex]-32^\frac{3}{5} = (-2^5)^\frac{3}{5}[/tex]

Remove bracket

[tex]-32^\frac{3}{5} = -2^\frac{5*3}{5}[/tex]

[tex]-32^\frac{3}{5} = -2^3[/tex]

[tex]-32^\frac{3}{5} = -8[/tex]

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