Sam wrote on the board counting numbers from 12 to 111:12, 13, 14, ..., 110, 111. How many digits did Sam write?

Answer:

(-4,-5)

Step-by-step explanation:

\(x+4y=-24\\ x=-24-4y\)

\(x=-24-4y\\ 4(-24-4y)-2y=-6\\ -96-16y-2=-6\\ 96+16+2=6\\ 18y=6-96\\ 18y=-90\\ y=\frac{-90}{18} \\ y=-5\)

\(x=-24-4(-5)\\ =-24+20\\ =-4\)

Answer:

16units

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

hope this will help you

Answer: The answer is A. 2.

Answer:    your answer is A

Answers to all the questions form 1 to 10 are illustrated below.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know the angle formed at the center of a circle is twice the angle formed at the circumference.

Answering each one in short.

1. x = 136/2 = 68°.

2. x = 146/2 = 73°.

3. x = 2×49 = 98°.

4. x = 2×62° = 124°.

5. As m∠O = 100°, x = 100/2 = 50°.

6. m∠O = 360 - 100 - 150 = 110°, x = 110/2 = 55°.

We know the angle formed by the same chords at the circumference is equal in measure.

7 . x = 18°.

8. x = 27°.

9. x = 180 - 55 - 90 = 35°.

10. x = 180 - 12 - 91 = 77°.

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Answer:

x = -2/5 or x = -28/5

Step-by-step explanation:

Let's solve your equation step-by-step.

5(|2x+6|)=26

Step 1: Divide both sides by 5.

5(|2x+6|)/5 = 26/5

|2x+6|=26/5

Step 2: Solve Absolute Value.

|2x+6|=26/5

We know either2x+6= 26/5 r2x+6=−26/5

2x + 6 = 26/5(Possibility 1)

2x+6−6= 26/5 - 6 (Subtract 6 from both sides)

2x = -4/5

2x/2 = -4/5/2 (Divide both sides by 2)

x = -2/5

2x + 6=-26/5 (Possibility 2)

2x+6= -26/5 (Simplify both sides of the equation)

2x + 6 - 6 = -26/5  - 6 (Subtract 6 from both sides)

2x = -56/5

2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5

Answer:

x = -2/5 or x = -28/5

Answer:

B : 68.5°F and 76.5°F

I think sorry if i am wrong.

Step-by-step explanation:

Therefore , the solution of the given problem of probability comes out to be  a) P(X=5) = 0.2465 , (b) P(X>=6) = 0.3204 and (c) P(X<4) = 0.2448.

The main objective of an procedure's criteria-based approaches is to estimate the likelihood that a claim is accurate or that a particular event will take place. Any number between 0 and 1, where 0 commonly denotes the possibility of something occurring and 1 typically denotes a degree of trust, can be utilized to symbolize chance. A probability illustration shows the likelihood that a particular occurrence will occur.

Here,

P(X=k) is equal to (n choose k) * p*k*1-p.(n-k)

We need to determine the following when n = 10 and p = 0.51 (the probability of having very little trust in newspapers):

(a) P(X=5)

(b) X>equals6 = X=6 + X=7 +... + X=10

(c) The equation P(X4) equals P(X=0), P(X=1), P(X=2), and P(X=3)

Using the equation:

(a) P(X=5) = (10 choose 5) * 0.51⁵ * 0.49⁵ = 0.2465

(b) The equation P(X>=6) = P(X=6) + P(X=7) +... + P(X=10) = (10 choose 6) * 0.51⁶ * 0.49⁴

+ (10 choose 7) * 0.51⁷* 0.49^3

+ (10 choose 8) * 0.51⁸ * 0.49^2

+ (10 choose 9) * 0.51⁹ * 0.49^1

+ (10 choose 10) * 0.51¹⁰ * 0.49^0

= 0.3204

(c) If P(X4) = P(X=0), P(X=1), P(X=2), and P(X=3), then (10 choose 0) * 0.51^0 * 0.49^10

+ (10 choose 1) * 0.51¹* 0.49^9

+ (10 choose 2) * 0.51² * 0.49^8

+ (10 choose 3) * 0.51³ * 0.49^7

= 0.2448

The odds are as follows: a) P(X=5) = 0.2465

(b) P(X>=6) = 0.3204

(c) P(X<4) = 0.2448

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Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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Answer:

8c - 2

I just turned it in

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

now u can mark the other person as brainlyest

Step-by-step explanation:

Answer:

n < 8

{n|n are all rational numbers less than positive 8}

Step-by-step explanation:

If you convert it, it'll be:

2 × ( n - 4 ) < 8

Distribute 2:

2n - 8 < 8

2n - 8 + 8 < 8 + 8

2n < 16

2n/2 < 16/2

n < 8

The angle between the two vectors A and B is 90°.

The angle between two vectors A and B can be found using the formula:

cosθ = (A⋅B)/(|A||B|)

Where A⋅B is the dot product of the two vectors, and |A| and |B| are the magnitudes of the vectors.

First, we need to find the dot product of the two vectors:

A⋅B = (2)(5) + (3)(2) + (-4)(4) = 10 + 6 - 16 = 0

Next, we need to find the magnitudes of the vectors:

|A| = √(2^2 + 3^2 + (-4)^2) = √(4 + 9 + 16) = √29

|B| = √(5^2 + 2^2 + 4^2) = √(25 + 4 + 16) = √45

Now we can plug these values into the formula:

cosθ = (0)/(√29√45) = 0

θ = cos^-1(0) = 90°

Therefore, the angle between the two vectors A and B is 90°.

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The length of the Boca Grande Causeway = 13,000 feet.

Repeated addition of the same number is made easier by multiplying the numbers. When we need to merge groups of similar sizes, we employ it. For instance, if there are 5 baskets, each containing 4 apples, we can use multiplication to get the total number of apples, which is 5 x 4 = 20 apples.

We can rapidly determine the total number of things by multiplying. When multiplying, we'll consider the number of groups with similar sizes and the number of items in each group.

Given: The boca grande causeway in florida = 1 4/9 times golden gate bridge

Length of the Golden Gate Bridge = 9000 feet

Thus the length of the Boca grande causeway = 1 4/9 × 9000

= 13/9 × 9000

On further solving we get

= 13 × 1000

= 13,000 feet .

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1) 520

2)60

3)2600

4)3760

Answer:

1. 520

2. 60

3. 2600

4. 3760

Step-by-step explanation:

\({hope it helps}}\)

Answer:The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:

A rectangular garden has a walkway around it

1. The area of the garden is 4(4.5 x + 1.5)

2. The combined area of the garden and the walkway is 5.5(8 x + 4)

We need to find the area of the the walkway

To find the area of the walkway by subtracting the area of the

rectangle from the combined area

∵ The combined area = 5.5(8 x + 4) ⇒ simplify it

∴ The combined area = 5.5(8 x) + 5.5(4)

∴ The combined area = 44 x + 22

∵ The area of the garden = 4(4.5 x + 1.5) ⇒ simplify it

∴ The area of the garden = 4(4.5 x) + 4(1.5)

∴ The area of the garden = 18 x + 6

Now subtract the area of the garden from the combined area

∵ Area of the walkway = (44 x + 22) - (18 x + 6)

∴ Area of the walkway = 44x + 22 - 18 x - 6

- Add like terms

∴ Area of the walkway = (44 x - 18 x) + (22 - 6)

∴ Area of the walkway = 26 x + 16

The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:

two sides with / = isosceles

(2 equal sides)

and

180 - 98 = 82° for the 2 other angles

: 2 = 41° per angle

so < 90° => acute

Answer:

your answer will be 18.9

Step-by-step explanation:

hope this helps you have a nice day :)

step by step is in the picture

The car unit rate of the race car is 6 miles/minute.

A unit rate specifies how many units of the first type of quantity equal to one unit of the second type of quantity. Examples of unit rates are km/hour, m/sec, cost/litre, and so on.

The denominator of a unit rate is always 1. To calculate the unit rate, divide the denominator by the numerator so that the denominator equals 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.

Given that,

Quantity = 48 miles

Time taken = 8 minutes.

Thus, The car unit rate of the race car is 6 miles/minute.

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The complete statements are:

The area (A) of a cube is calculated using:

\(A = 6l^2\)

Where:

l represents the length of the cube.

So, the first statement is:

Multiply the area of one square by 6, to calculate the surface area of the cube.

Recall that the side length of the cube is 5.

So, the equation becomes

\(A = 6 \times 5^2\)

\(A = 150\)

This means that:

Michael will paint 150 square inches

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As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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Answer:

6 Apples

Step-by-step explanation:

There would be six apples and 2 oranges left over.

Hope this Helps!

:D

Answer:

I was kind of confused on this one but is it 15 apples?

Step-by-step explanation:

3, 6, 9, 12, 15

4, 8, 12, 16, 20

I think the answer is 15 apples.

The triangle is solved using the law of sines and c = 13.25

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

The measure of ∠BAC = 49°

The measure of ∠ACB = 90°

And , the measure of side a = 10 units

From the law of sines ,

a / sin A = b / sin B = c / sin C

10 / sin 49° = c / sin 90°

The triangle is solved using the law of sines , where the measure of sine of angle opposite to the sides are in the same ratio.

The trigonometric value of sin 90° = 1

c = 10 / 0.75470958022

c = 13.25 units

Therefore , the measure of c = 13.25 units

Hence , the triangle is solved and c = 13.25 units

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The complete question is attached below :

If A = 49° and a = 10, find c.​

The option a. S-(red,red), (red,black), (black,red), (black,black) is the most appropriate sample space S for the possible outcomes of selecting two cards from a deck of 52 cards

The most appropriate sample space S for the possible outcomes of selecting two cards from a deck of 52 cards and observing the color of each (26 cards in the deck are red and 26 are black) is given by option a. S-(red,red), (red,black), (black,red), (black,black).

Sample space S in probability theory denotes the set of all possible outcomes of an experiment.

In other words, the sample space S represents all possible outcomes of an experiment under consideration. For instance, in the current scenario,

These four possible outcomes are independent and equally likely events, and the sample space S for the possible outcomes is given by option a. S-(red,red), (red,black), (black,red), (black,black).

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The sequence xn = 2ⁿexp{-wn}  defines a nonnegative martingale. It is based on the waiting time sequence wn in a Poisson process with intensity lambda = 1.

To show that xn = 2ⁿexp{-wn} defines a nonnegative martingale, we need to demonstrate two properties: nonnegativity and the martingale property.

First, let's establish the nonnegativity property. Since wn represents the waiting time sequence in a Poisson process, it is always nonnegative. Additionally, 2ⁿ is also nonnegative for any positive integer n. The exponential function exp{-wn} is nonnegative as well since the waiting time is nonnegative. Therefore, the product of these nonnegative terms, xn = 2ⁿexp{-wn}, is also nonnegative.

Next, we need to verify the martingale property. A martingale is a stochastic process with the property that the expected value of its next value, given the current information, is equal to its current value. In this case, we want to show that E[xn+1 | x1, x2, ..., xn] = xn.

To prove the martingale property, we can use the properties of the Poisson process. The waiting time wn follows an exponential distribution with mean 1/lambda = 1/1 = 1. Therefore, the conditional expectation of exp{-wn} given x1, x2, ..., xn is equal to exp{-1}, which is a constant.

Using this result, we can calculate the conditional expectation of xn+1 as follows:

E[xn+1 | x1, x2, ..., xn] = 2^(n+1) exp{-1} = 2ⁿexp{-1} = xn.

Since the conditional expectation of xn+1 is equal to xn, the sequence xn = 2ⁿ exp{-wn} satisfies the martingale property. Therefore, it defines a nonnegative martingale.

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Answer:30*20

Step-by-step explanation:

There are three highways in the county. the number of daily accidents that occur on these highways are poison random variables with respective parameters . 3, . 5, and . 7 The expected number of accidents that will happen on any of these highways today is 1.5

There is a theorem that we can use to find the expected value of a random variable that is a sum of other random variables as follows.

If X= X₁ + X₂ +...... +Xₓ, then E( X)= E(X₁) +E( X₂) +...... +E(Xₓ),

In this case, let X = the number of accidents that will happen on any of those highways today,

are the numbers of accidents on each highway, respectively.

Then X= X₁ + X₂ +X₃ .

Since  are Poisson variates, their expected values are the parameters given, .3, .5 and .7.

So E(X₁) = .3 E( X₂) = .5 E(X₃)= .7

Thus, E(X)= 1.5

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Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.

Distance covered by John = Distance covered by Jane

Therefore, \($(x + 5) = (x + 11)$\)

Thus, x = 6

Now, we need to find the speed of both, which is given by the formulae:

Speed = Distance / Time

So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph

Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)

Speed of Jane = \($17 / 7$\) mph

Since both have to be equal, Speed of John = Speed of Jane Therefore,

\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)

Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph

Speed of Jane = \($7 / 3$\) mph

Thus, their speed was \($7 / 3$\) mph.

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