The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.51, and the probability that he must stop at least one of the two signals is 0.67.What is theprobability that he must stop.
a) At both signals?
b) At the first signal but not at the second one?
c) At exactly on signal?

Answer:

167 degrees

Step-by-step explanation:

180-(180-((180-116)+103))

Answer: I think it might be y = 180 - 52 - 59 = 69 degrees . . . . . . . . (angles on a straight line are supplementary, i.e. add up to 180 degrees)

x = 180 - 69 - 63 = 48 degrees . . . . . . . . (sum of interior angles of a triangle is 180 degrees)

Therefore, m/_x = 48 degrees.

Step-by-step explanation:

The total surface area of the pyramid from the net is 286 square cm

To calculate the total surface area of a pyramid from its net, you need to add up the areas of all its faces.

The net of a pyramid is a two-dimensional representation of the pyramid, where the edges of the net represent the edges of the pyramid.

In this case, the nets are

Using the above as a guide, we have the following:

Area = 10 * 7 + 2 * (1/2 * 10 * 12.5 + 1/2 * 7 * 13)

Evaluate

Area = 286

Hence, the surface area is 286 square cm

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12x because you multiply it

Answer:

to find the least common multiple (LCM) of 18 and 22, you can use the following steps:

Prime factorize the numbers:

18 = 2 * 3^2

22 = 2 * 11

Identify the highest power of each prime factor that appears in either number:

The highest power of 2 is 2^1.

The highest power of 3 is 3^2.

The highest power of 11 is 11^1.

Multiply these highest powers together:

2^1 * 3^2 * 11^1 = 66.

Therefore, the least common multiple (LCM) of 18 and 22 is 66.

Step-by-step explanation:

sorrrrrrrrrry don't know the ansew

Answer:

what's the outside bottom angle

Answer:

b

Step-by-step explanation:

Answer:3.8

Step-by-step explanation:

Answer:

∠KSO = 135°

Explanation:

On a parallelogram, the opposite angles have the same measure. It means that the measure of ∠R is:

∠R = ∠C

∠R = 70°

On the other hand, the sum of the interior angles of a triangle is equal to 180°, so we can calculate the measure of ∠RSO as:

∠RSO = 180 - ∠ROS - ∠R

∠RSO = 180 - 65 - 70

∠RSO = 45°

Because the angles RSO, ROS, and R form the triangle ROS.

Finally, ∠RSO and ∠KSO form a straight line, so their sum is equal to 180°. Then, we can calculate ∠KSO as:

∠KSO = 180 - ∠RSO

∠KSO = 180 - 45

∠KSO = 135°

Then, the answer is 135°

Answer:

Brainleist !

Step-by-step explanation:

6 bannas = 1.95

18 bannanas = ?

18/6 = 3

that means 18 is thriple 6, causeing the price of 6 to be tripled as well.

6 bannas = 1.95

18 bannanas = 5.85

Answer:

The scale factor of triangle:

The scale factor of trapezoid:

See the picture for the dilated triangle

Answer:

85 mi

Step-by-step explanation:

Let d = the distance in miles traveled

Let M = the time in hours for Maria to travel d miles

\(m+\frac{3}{4} =\) time in hours for Ricky to travel d miles

(Note that \(\frac{3}{4}\) hrs = 45 min)

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

Maria's equation:

d = 51m

Ricky's equation:

d = 24 · \((m+\frac{3}{4} )\)

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

Substitution:

51m = 24 · \((m+\frac{3}{4} )\)

51m = 24m + 45

6m = 10

m = \(\frac{5}{3}\)

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

d = 51m

d = 51 · \((\frac{5}{3})\)

d = 85

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

The distance traveled is 85 mi

If it takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, the distance traveled is 85 miles

Speed is the ratio of distance traveled to time taken. Mathematically:

Distance = Speed/Time

According to the given question:

Set up the Maria equation:

d = 51m

Set up Ricky's equation:

d = 24 · (m+3/4)

Substitute

51m = 24 · (m+3/4)

51m = 24m + 45

6m = 10

m = 5/3

Determine the required distance

d = 51m

d = 51 · 5/3

d = 85

Hence the distance traveled is 85 mile

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Answer:

I’ll go horizontal.

Step-by-step explanation:

-0.6 0.95 3.8

0.46 -1.625 0.76

4.4594594594595 −5.2727272727273 0.70833333333333

6.21875 7.4090909090909 −1.3541666666667

Hope this helped! :)

number line with open circle on point negative 5 and arrow shaded to the right is the right description for the graph of the inequality.

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

let the number be x

so that 2.5 > -0.5x

dividing through by -0.5 we revert the inequality sign

2.5/-0.5 < x

-5 < x

Taking x to the other side we revert the inequality sign back to greater than

x > -5

In conclusion, number line with open circle on point negative 5 and arrow shaded to the right is the description of the graph

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Answer: D

Step-by-step explanation: I have proof! i got it right on test and i have a picture.

Answer:

49x-16/35

7²x-4²/(7×5)

taking LCM

(7²×7×5x-4²)/35

separate

1715x/35-4²/35

taking common 1/35

1/35(1715x-16)

Given :

There are 50 people at the city swim park today. Everyone in the park was wearing swim suits or sunglasses, some people had both.

38 have swim suits on and 25 have sunglasses.

To Find :

How many people had swim suits on but not sunglasses.

Solution :

Let, A refer swim suits and B refer sunglasses.

∞∪∩

A ∪ B = 50

A = 38

B =  25

We need to find, A - (A ∩ B) .

We know,

(A ∩ B) = A + B - (A ∪ B)

(A ∩ B) = 38 + 25 - 50

(A ∩ B) = 13

So, A - (A ∩ B) = 38 - 13 = 25

Therefore, number of people with swim suits on but not sunglasses are 25.

Answer:

The first term of the sequence is:

Step-by-step explanation:

Given the sequence

aₙ = (-1)ⁿ · 3n²

substituting n = 1 to determine the first term

a₁ = (-1)¹ · 3(1)²

a₁ = (-1)¹ · 3(1)²

Applying the exponent rule: \(a^1=a\)

a₁ = -1 · 3(1)

a₁ = -1 · 3

a₁ = -3

substituting n = 2 to determine the 2nd term

a₂ = (-1)² · 3(2)²

a₂ = 1 · 3(4)

a₂ = 12

substituting n = 3 to determine the 3rd term

a₃ = (-1)³ · 3(3)²

a₃ = -1 · 3(9)

a₃ = -1 · 27

a₃ = -27

substituting n = 4 to determine the 4th term

a₄ =  (-1)⁴ · 3(4)²

a₄ = 1 · 3(16)

a₄ = 1 · 48

a₄ = 48

Therefore, the first term of the sequence is:

Answer:

Slope equals 2/3

Step-by-step explanation:

To find the slope of a line given two points, you have to plug the points into the equation m=(y2-y1)/(x2-x1). Doing this with these points gives us 4/6 or 2/3.

Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)

Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).

The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,

 A' = 2A

 A'(8, -12) = 2×A(4, -6)

These facts are all you need to know to choose the correct answer (shown above).

Answer: 1/2

Step-by-step explanation:

I took the quiz!

Answer:

kaylas thinking of the number 414

Step-by-step explanation:

414 is divisable by 18 (414 divided by 23)

414 is palindrome

414 is one less than a multiple of 5 (415)

Answer:

414

Step-by-step explanation:

The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.

There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.

To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:

C(26, 4) = 26! / (4! * 22!) = 14,950

Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:

Therefore, the total number of such words is:

4 * 3 * 1 = 12

Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:

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Answer:

1:9

Step-by-step explanation:

that's how you write scale

Answer:

3/10

Step-by-step explanation:

So 15/50 and 20/50 are used, so you add them together, which would be 35/50

Then you subtract 35/50 from 50/50 to find what is left, which would be 15/50

Simply that by dividing the numerator and denominator by 5, which the final answer would be 3/10

Answer:

Step-by-step explanation:

563 people / 15 classes= 37 8/15. They should offer 38 classes.

2146 questions in 45 weeks.

2146/45= 47 31/45. round to 48 questions a week.

I would choose the first one. Even though the 2000 is an underestimate, the 50 weeks is overestimate , when divided it comes out to 50 questions a week which is closer to the 48 it actually is. I'd rather write too many questions then not enough.

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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The zeros of the polynomial function are x = -1 and x = 5

From the question, we have the following parameters that can be used in our computation:

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

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Answer:

1. 474

2. 397

Step-by-step explanation:

1. If the three-digit number is xyz, then y = z + 3.

When rounded to the nearest ten and reduced by 320, the result is 150.  150 + 320 = 470, so x = 4.  y = 6 if z ≥ 5, and y = 7 if z < 5.

So the number is either 463 or 474.  463 doesn't round to 470, so the answer is 474.

2. If the three-digit number is xyz, then z = x + 4.  y is the largest of the three digits; since all the digits are odd, y is either 5, 7, or 9.  So z is either 5 or 7, and x is either 1 or 3.

When rounded to the nearest hundred and reduced by 100, the result is 300.  100 + 300 = 400, and y > 5, so xyz is rounded up to 400, which means x = 3.  So z = 7 and y = 9.

The answer is 397.

Answer:

Constants

hopefully this helps

Answer:

33

Step-by-step explanation:

if you set it as an equation equal to 180 its easier to tackle

Answer:

12^4/5

Step-by-step explanation:

When doing this you put the number the base is raised to on top of the fraction and the root number on the bottom