anyone willing to help me with this?

9514 1404 393

Answer:

  x = 58

Step-by-step explanation:

The external angle is half the difference of the intercepted arcs.

  (160° -x°)/2 = 51°

  160 -102 = x = 58

\(\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}\)

CD=9, C would be between -6 and 21, and D would be at -15 since C and D are points on the number line.

An introduction to arithmetic tool is the number line, which is a visual depiction of real numbers. It is a representation of a strength line. Each real number is used to represent a point on the number line, and each real number is taken to signify a point. On a number line, distances between increments are equal. The question that coincides with the number will define how it is used. B: Speak your mind.

given

as by number line

C+ D = 9 -15 = -6

C - D = 9 + 15 = 21

Given that CD=9, C would be between -6 and 21, and D would be at -15 since C and D are points on the number line.

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Answer:

B

Step-by-step explanation:

Answer: b ≥ -9 or [−9,∞)

Step-by-step explanation: if we're solving the inequality for b the answer would be b ≥ -9. If your looking for the interval notation form it would be [−9,∞)

the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

To find the probability that the claim will be rejected assuming the manufacturer's claim is true, we need to calculate the probability of having 70 or fewer patients cured out of 100.

First, we need to determine the mean (μ) and standard deviation (σ) of the binomial distribution.

For a binomial distribution, the mean (μ) is given by μ = n * p, where n is the number of trials (100 patients) and p is the probability of success (0.73).

μ = 100 * 0.73 = 73

The standard deviation (σ) of a binomial distribution is given by σ = sqrt(n * p * (1 - p)).

σ = sqrt(100 * 0.73 * (1 - 0.73)) = sqrt(100 * 0.73 * 0.27) = sqrt(19.71) ≈ 4.44

Next, we will use the normal distribution to approximate the binomial distribution. Since the sample size is large (n = 100) and both np (100 * 0.73 = 73) and n(1 - p) (100 * 0.27 = 27) are greater than 5, the normal approximation is valid.

We want to find the probability of having 70 or fewer patients cured, which is equivalent to finding the cumulative probability up to 70 using the normal distribution.

Using the z-score formula:

z = (x - μ) / σ

For x = 70:

z = (70 - 73) / 4.44 ≈ -0.6767

Now, we can use a standard normal distribution table or a calculator to find the cumulative probability up to z = -0.6767.

The cumulative probability P(X ≤ 70) is approximately 0.2489.

Therefore, the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

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The probability that four of the machines selected are non-defective is 0.0198

Probability is a measure of the possibility of an event occurring.

The likelihood could range from 0 to 1, , where 0 indicates an impossibility and 1 indicates a certainty. Probability is the ratio of possible outcomes to the total outcomes.

Probability = Possible outcomes/total outcomes

The probability that four of the machines selected are non-defective is given by:

P = (⁵C₄) / (¹⁰C₅)

P = 5 /252

P = 0.0198

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The integral that gives the volume of the solid formed by revolving the region about the x-axis is V = \(\int\limits^{-2}_{-2}\)π(4−x²)² dx is (8/3)π cubic units.

To find the volume of the solid formed by revolving the region about the x-axis, we can use the disk method.

First, we need to find the limits of integration. The given function y = 4 - x² intersects the x-axis at x = -2 and x = 2. So, the limits of integration will be from -2 to 2.

Next, we need to express the given function in terms of x. Solving for x, we get x = ±√(4-y).

Now, we can set up the integral for the volume using the disk method

V = π \(\int\limits^a_b\) (f(x))² dx

where f(x) = √(4-x²), and a = -2, b = 2.

V = π \(\int\limits^{-2}_{-2}\) (√(4-x²))² dx

V = π \(\int\limits^{-2}_{-2}\) (4-x²) dx

V = π [4x - (1/3)x³] \(|^{-2}_2\)

V = π [(32/3)-(8/3)]

V = (8/3)π

Therefore, the volume of the solid formed by revolving the region about the x-axis is (8/3)π cubic units.

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Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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Answer:

x-2

Step-by-step explanation:

Dividing 3x2 – 10x + 8 by 3x-4 we get x-2.

Answer

I.dk if this is right but this is what i ended up with,

20in. by 36 in. and 30 in. by 48 in.

Step-by-step explanation:

20in. by 36 in. and 30 in. by 48 in.

is the answer tot he question

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

Puede ser Asi:

\( {10}^{6} = 1000000\)

Tambien puede ser:

\(1000000 \div 10 = 100000\)

3/4 is the total.

See attached image for explanation.

Please consider marking "Brainliest".

Thanks <3

If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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The number of ways to choose 3 outfielders and 4 infielders from pools of 5 outfielders and 7 infielders is 350.

To find the number of ways, you can use the combination formula, which is C(n, r) = n! / (r! * (n-r)!), where n is the total number of options, and r is the number of choices.

For outfielders, there are 5 options (n) and you need to choose 3 (r). So, the combination is C(5, 3) = 5! / (3! * (5-3)!), which is 10 ways. For infielders, there are 7 options (n) and you need to choose 4 (r).

The combination is C(7, 4) = 7! / (4! * (7-4)!), which is 35 ways. To find the total number of ways, multiply the two results: 10 * 35 = 350 ways.

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Answer:

The distance between the center pole and the left most pole = 200 ft

Step-by-step explanation:

Given that a power line has a length of 400 ft.

Three poles are to be put, two on each end and one at the midpoint of the wire.

Let us represent this using the number line as shown in the attached diagram.

To find:

The distance between the center pole and the left most pole ?

Solution:

Please refer to the attached diagram for the number line representation of the given situation.

Point A refers to the starting of the road.

Point B refers to the mid point of the road and

Point C refers to the other end point of the road.

So, point A is a at 0.

Point C is at 400.

The mid point will be at:

\(AB = \dfrac{A's\ position+C's\ position}{2}\\\Rightarrow AB = \dfrac{0+400}{2}\\\Rightarrow AB = 200\ ft\)

The distance between the center pole and the left most pole = 200 ft

Answer:

4

Step-by-step explanation:

For the first triangle which is triangle <KJL

Hypotenuse= 8✓2

Angle=30°

Opposite = ?

Therefore we will use Sine formula

Sin30° = Y/8✓2

Y=4✓2

For the second triangle which is triangle <JML

Hypotenuse= 4✓2

Opposite=X

Angle=45°

Therefore we will use Sine formula again

Sin45°=X/4✓2

X=4

Answer:

Step-by-step explanation:

ΔJKL is half of equilateral triangle and ΔJML is half of square.

We can use properties of these triangles (picture):

m∠KJL=90° and m∠JKL = 30° ⇒  JL = 0.5KL = 0.5•8√2 = 4√2

m∠JML=90° and m∠MJL = 45° ⇒  JL = ML√2

                                                        4√2 = x√2

                                                             x = 4

1) Since those lines A and B are parallel and line C is a transversal one then we can state that the angles

∠2x + 20 and ∠4x +40 are supplementary and consecutive interior angles.

2) So we can write out the following equation to find out the value of x:

2x +20 +4x +40 = 180

6x + 60 = 180

6x = 180-60

6x = 120

x=20

3) Hence, the aswer is 2x +20 +4x +40 = 180

There is a 0.25 and a 0.5 chance that the flight will arrive no more than 5 and 10 minutes late, respectively. 130 minutes is the estimated flight time.

Probability density function: It can take on any value and is used to define the random unknown probability falling inside a specific range of values.

For its flights from Cincinnati to Tampa, Delta Airlines reports a flight duration of 2 hours and 5 minutes.

Let's say we think the range of real flight timings is 2 hours to 2 hours and 20 minutes.

a)Between 120 and 140 minutes, the probability density function for a continuous uniform random variable is given as

\(f(x)=\left \{ {{\frac{1}{140-120},120 \leq x\leq 140}\\ \atop {0.o.e}} \right.\)

b)The likelihood that the flight will arrive no later than five minutes late is

integration from 130 to 125 of 1/20dx=5/20=1/4=0.25

c)There is a 10% chance that the flight will arrive no more than 10 minutes late.

integration from 135 to 125 of 1/20dx=10/20=0.5

d)The anticipated duration of the flight, in minutes, is

integration from 140 to 120 of x/20dx=(5200*5)/(2*20)=130

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Answer:

\(x=2\)

Step-by-step explanation:

I believe your question is:

For what value of \(x\) does \(3^{2x}=9^{3x-4}\)?

—

First, rewrite \(9\) as \(3^2\):

\(3^{2x}=(3^2)^{3x-4}\)

Then, use exponentiation to apply the \((a^b)^c=a^{bc}\) rule:

\(3^{2x}=3^{2(3x-4)}\)

Rewrite the expression as a non-exponential one since the bases (\(3\)) are equal on both sides:

\(2x=2(3x-4)\)

Distribute the \(2\):

\(2x=6x-8\)

Subtract \(6x\) from both sides:

\(-4x=-8\)

Divide both sides by \(-4\):

\(x=2\)

Answer:

No solution

Step-by-step explanation:

No solution because you cant add some of these numbers together and get that same answe

By using the concept of similar triangles, we find the height of the person to be 6 ft if his shadow is 10 ft long.

We can consider two triangles - one formed by the person, their shadow, and a line connecting the person to the top of the street light, and the other formed by the street light, its shadow, and the same line connecting it to the person.

Let's call the height of the person "h". Then, we can write:

h / 10 = 30 / 50

Here, we have used the fact that the height of the street light is 30 ft and its shadow is 50 ft long. We can simplify this equation to get:

h = 10 x 30 / 50 = 6

Therefore, the height of the person is 6 ft.

To understand this visually, imagine two similar triangles, one larger than the other. The ratio of the corresponding sides of the two triangles is constant.

We can use this fact to solve the problem. In this case, the ratio of the height of the street light to the length of its shadow is the same as the ratio of the height of the person to the length of their shadow.

By setting up and solving the resulting equation, we can find the height of the person. It's important to note that this solution assumes that the person's shadow is cast at the same time as the street light's shadow. If the person's shadow is cast at a different time, the solution may not be accurate.

Additionally, this solution assumes that the ground is flat and level, with no obstructions that could affect the length or direction of the shadows.

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The answer to the questions are given below.

The triangles which do not have same side length or angles but are similar in appearance are called similar Triangles .

It is given in the question that

If triangle abc and triangle def are similar, then their corresponding sides are proportional.

The hypothesis is

if the triangle abc and def are similar

The conclusion is

that the triangle abc and def are similar and the sides corresponding are proportional.

The converse is

If the sides of two triangles are proportional then two triangles are similar

Yes it is true

Inverse is if the two triangles are not similar then the sides corresponding are not proportional.

Contrapositive statement is if the sides are not proportional then the two triangles are not similar.

Yes , it is true.

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x to the power of 2

over

3125

The solution to the equation given as √|x|² = x is x ≥ 0

From the question, the representation of the equation is given as

√|x|² = x

To start with;

We evaluate the square root expression in the equation

So, we have the following representation

|x| = x

The above implies that the absolute value of a number equals the number

As a general rule of absolute values, the absolute value of a number is positive

This can be represented as

x ≥ 0

Hence, the solution to the equation is x ≥ 0

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A) The odds of picking a black jellybean are 14/37.

Step-by-step explanation:

The jar contains fourteen black, eight red, eleven yellow, and four green jellybeans.

Therefore, the Total number of jellybeans in the jar = 14+8+11+4=37

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of black jellybeans.

Therefore, the number of black jellybeans = 14

Now, the number of unfavorable outcomes is the number of jellybeans that are not black.

Therefore, the number of unfavorable outcomes = 37-14=23

Hence, the odds of picking a black jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a black jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=14/37

Answer: Odds of picking a black jellybean are 14/37.

B) The odds of picking a green jellybean are 5/35.

Step-by-step explanation:

The jar contains ten black, eight red, twelve yellow, and five green jellybeans.

Therefore, the Total number of jellybeans in the jar = 10+8+12+5=35

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of green jellybeans.

Therefore, the number of green jellybeans = 5Now, the number of unfavorable outcomes is the number of jellybeans that are not green.

Therefore, the number of unfavorable outcomes = 35-5=30

Hence, the odds of picking a green jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a green jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=5/30

Reducing the ratio to the simplest form, we get the odds of picking a green jellybean = 1/6

Hence, the odds of picking a green jellybean are 5/35.

Answer: Odds of picking a green jellybean are 5/35.

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Answer:

499/36

Step-by-step explanation:

If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36

Answer:

Its B or 13

Step-by-step explanation:

Answer:

6.02

Step-by-step explanation:

16 + 20.25 = c ^2

36.25= c^2

c = √36.25

c= 6.02

Hence c is 6.02

There are 1260 different strings that can be made from 5 of the 7 letters in the word "meeting."

To determine the number of unique subsets of 5 letters from the word "meeting," we can use the combination formula:

\(n_Cr = n! / r!(n-r)!\)

Where n is the total number of items (in this case, the number of letters in the word "meeting") and r is the number of items being selected (in this case, 5 letters).

So, for "meeting," n = 7 and r = 5.

Plugging these values into the formula gives:

\(7C5 = 7! / 5!(7-5)! = 21\)

Therefore, there are 21 unique subsets of 5 letters that can be formed from the letters in the word "meeting."

To determine the number of different strings that can be made from 5 of those 7 letters, we can use the permutation formula:

\(n_Pr = n! / (n-r)!\)

Where n is the total number of items (in this case, the number of letters in the word "meeting") and r is the number of items being selected (in this case, 5 letters).

So, for "meeting," n = 7 and r = 5.

Plugging these values into the formula gives:

7P5 = 7! / (7-5)!

= 7! / 2!

= 2520 / 2

= 1260

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