on a map, two cities are 5 1/2 inches apart. the map uses a scale of 2 inches =75 miles
what is the actual distance between the two cities?

Answer:

The answer is to this is D. 210

The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer:     b

Step-by-step explanation:

i took the quiz duhh

The solution to the algebraic equation, y² = 36, is 6 or -6.

Solution of an algebraic equation is the value of an unknown variable that makes the equation true.

Given:

y² = 36

Required:

Solution to the equation

Thus:

y² = 36

y = √36

y = 6 or -6

Thus, the solution to the algebraic equation, y² = 36, is 6 or -6.

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

9514 1404 393

Answer:

  -26, -25

Step-by-step explanation:

The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.

Hence, one is -26 and one is -25.

Answer:

29.13 gallons

Step-by-step explanation:

27.63+1.5

29.13

Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

Answer:

150 banquets

Step-by-step explanation:

Answer:

y=7

x°=15°

Step-by-step explanation:

First we see that there is a equilateral triangle (all angles and also sides should be equal to each other) meaning that 4y=28, which simplifies to y=7

Additionally, we can see that one of the acute angles of the equilateral triange is complementary with the 2x° angle, so 2x°+(the acute angle)=90°

Since the triangle is equilateral each angle must be equivalent and since there is only 180° in a triangle each angle is 180°/3=60°

so 2x°+(60°)=90°

simplify for x°

2x°=30°

x°=15°

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

H0 : p = 0.236

H1 : p > 0.236

Type 1 error is committed by incorrectly rejecting a true null hypothesis

Type 11 error is committed by incorrectly accepting a false null

Step-by-step explanation:

The null and alternative hypothesis :

H0 : p = 0.236

H1 : p > 0.236

A type 1 error is made when a null hypothesis is incorrectly rejected, Hence in this scenario, a type 1 error will be committed of we conclude that the proportion who earned bachelor's degree is more Than 0.236 when the actual proportion not more than but equal to 0.236

A type 11 error is committed when we fail to reject a false null hypothesis. This means that if the actual proportion who earned a bachelor's degree is more than 0.236 and we fail to reject the null which says the proportion is not more than 0.236

The specific amount of paper Chase needs to cover this gift is the total surface area which is 502 cm².

To find the specific amount of paper Chase needs to cover the gift, we need to calculate the surface area of the gift. The gift seems to have the following dimensions:

To calculate the surface area, we need to find the area of each side and add them together.

The gift has six sides: front, back, top, bottom, left, and right.

Front and back sides:

Area = Length * Height = 8 cm * 7 cm = 56 cm²

Top and bottom sides:

Area = Width * Length = 13 cm * 8 cm = 104 cm²

Left and right sides:

Area = Height * Width = 7 cm * 13 cm = 91 cm²

Total surface area = Sum of all side areas = 56 cm² + 56 cm² + 104 cm² + 104 cm² + 91 cm² + 91 cm² = 502 cm²

Therefore, Chase needs approximately 502 square centimeters of paper to cover the gift without overlapping.

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Answer:

The answer is 18 cm

Step-by-step explanation:

Now, We need to write a proportion

Here,

Force₁ = 100 N

Length₁ = 5 cm

Force₂ = 360 N

Length₂ = x cm

Now,

Force₁ ÷ Length₁ = Force₂ ÷ Length₂

100/5 = 360/x

100x = 360 × 5

100x/100 = 360 × 5/100

x = 18 cm

Thus, If a force of 360 newtons then 18 cm a spring will be stretches.

-TheUnknownScientist 72

Answer:

The answer is 18 cm

Step-by-step explanation:

see explanation from above answer

Answer:

-11/12

Step-by-step explanation:

Solve each fraction expression on the numerator and denominator separately.

5/8 + 3/4 = 5/8 + 6/8 = 11/8

-2/3 - 5/6 = -4/6 - 5/6 = -9/6 = -3/2

Now we have (11/8) / (-3/2). We solve this by flipping the denominator fraction and multiplying that by 11/8.

[Flip -3/2] -2/3

11/8 x -2/3 = -11/12

Hope this helps!

Answer:

It's B, Points a and f. -5 and 5

The book value of the office building in 2004, which was worth $1 million when completed in 2000 and being depreciated linearly over 30 years, will be $866,668.

The book value of an asset is the difference between the cost and the accumulated depreciation.

The accumulated depreciation is the total depreciation over the years.

The worth of the office building on completion = $1 million

The year of completion = 2000

Depreciation period = 30 years

Depreciation method = Linear depreciation

Scrap value = $0

Annual depreciation expense = $33,333 ($1,000,000 ÷ 30)

Accumulated depreciation between 2000 and 2004 = $133,332 ($33,333 x 4)

Book value in 2004 = $866,668 ($1,000,000 - $133,332)

Thus, with an annual depreciation of $33,333, the book value is $866,668.

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Answer:

Step-by-step explanation:

the answer c which is 3,280

The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

The variance = 2916,

The mean life of a battery, m = 518 min,

The total number of samples, n = 81

Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,

z = x - m / (σ / √ n)

Here, x is the expected value, σ is the deviation, and z is the probability.

Substitute the values,

z = 526.4 - 518 / (54 / √81)         [σ = √ variance = √2916  = 54]

z = 1.4

Consult the cumulative standard normal table

P (z < 526.4) = 0.9192,

But we know that

P (z > 526.4) = 1 - P (z < 526.4)

P (z > 526.4) = 1 - 0.9192 = 0.0808

Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

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hi <3

okay so there are a few rules you need to be aware of first:

- angles in a triangle sum to 180

- angles on a straight line sum to 180

so first, lets find the missing angle of the triangle:

180 - 80 - (a - 5) = 105 - a

now lets form an equation because we know that 180 subtract this angle equals 2a:

180 - (105 - a) = 2a

75 + a = 2a

subtract a from both sides:

a = 75

hope this helps :)

Answer:

the sum of two interior opposite angel is equal to the exterior angel

Answer:

step 1: Multiply both sides by 7.436564x.

2+40.171074= 7.436564

Step-by-step explanation:

Answer:

Option B, 5/48 yd³

Step-by-step explanation:

\( \frac{5}{6} \times \frac{1}{4} \times \frac{1}{2} \)

\( = \frac{5}{4} \)

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

Answer:

129

Step-by-step explanation:

The shape shown is a parallelogram, which means that adjacent angles are supplementary. Adjacent angles are angles that share rays; this means that <A is adjacent to both <B and <D. Supplementary angles are angles whose sum is 180. Therefore, to find <B subtract 51 from 180. 180-51=129. So, angle B (and D) must be 129.

Answer:

0.08y - 0.0144

Step-by-step explanation:

We need to solve the below expression i.e.

(y - .18) x .08

It can be done as follows :

Using distributive property to solve it.

(y - .18) x .08 = 0.08(y) - 0.18(0.08)

= 0.08y - 0.0144

So, the equivalent expression is 0.08y - 0.0144.

We can note that 1 is a root of the polynomial because:

then (x-1) is a factor of f(x)

Answer:

Step-by-step explanation:

10 + 8x =10003

8x = 10003 - 10

8x = 9993

X = 9993 ÷ 9

Step-by-step explanation:

Rearrange = 10 + 8 x =10003

                      8x + 10 = 10003

 subtract both= 8x + 10 = 10003

                          8x + 10 -10= 10003-10

 simplify=  subtract the number  8x = 999

Divide the both number = 8x = 9993

                                         8x/8 =993/8

And them simplify it again = x = 9993/8

Answer:

Step-by-step explanation:

Parallel lines have same slope

The line parallel to y = 3x + 2 has a slope of 3