to find the ratio of 7 ​

Answer:

Step-by-step explanation:

A Descent rate,

B 10725ft,

C 25min

Answer:

yes it is because a right angle triangle has a 90 degree angle and the other sides are equal

Answer:

$74.00

Step-by-step explanation:

multiply 40 by 0.83=34 add to 40=74

Answer:

6%

Step-by-step explanation:

Since the volume of the cylinder V = πr²h where r = radius of cylinder and h = height of cylinder and h = 2r, we have that r = h/2.

Substituting r into v, we have

V = πr²h

V = π(h/2)²h

V = πh³/4

Now let ΔV be the error in the volume and Δh be the error in the height.

Since h is raised to the power of 3,

ΔV/V = 3Δh/h

multiplying both sides by 100, we have

ΔV/V × 100 = 3Δh/h × 100

So, we have

ΔV/V × 100 = 3 × Δh/h × 100

since Δh/h × 100 = percentage error in height = 2%, and ΔV/V × 100 = percentage error in volume,

ΔV/V × 100 = 3 × 2% = 6%

So, the percentage error in volume is 6 %

P(B∣A) is approximately 0.310, rounded to three decimal places.

To find the probability P(B∣A), we can use Bayes' theorem:

P(B∣A)= P(A) / P(A∣B)⋅P(B)

Given information:

P(B)=0.2

P(A∣B)=0.9

P(B')=0.8 (probability of not B)

P(A∣B′)=0.5 (probability of A given not B)

First, we need to calculate

P(A), the probability of event A. We can use the law of total probability to express P(A) in terms of the probabilities related to B and not B:

P(A)=P(A∣B)⋅P(B)+P(A∣B′)⋅P(B′)

Substituting the given values:

P(A)=0.9⋅0.2+0.5⋅0.8=0.18+0.4=0.58

Now, we can substitute the known values into Bayes' theorem:

P(B∣A)= P(A)/ P(A∣B)⋅P(B)

= 0. 9.0.2 / 0.58

Calculating this expression:

P(B∣A)≈ 0.5 80.18 ≈0.310

Therefore, P(B∣A) is approximately 0.310, rounded to three decimal places.

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Answer:

10/50 or 1/5 or 20 % chance

Step-by-step explanation:

well to find this out we have to add all of the chocolates together

10+23+14+3

33+17

50

And then we divide the amount of dark chocolate by 50

And it will be 10/50 or 1/5

Answer: See attached image

Step-by-step explanation:

Sorry for my horrible writing, this was done with a mouse lol

Answer:

x = 15

Step-by-step explanation:

Step 1: Set up the equation.

Step 2: Simplify both sides of the equation.

Step 3: Subtract 45 from both sides.

Step 4: Divide both sides by 9.

The average height for a 15-year-old male in the United States is roughly 5 feet, 7 inches, according to the Centers for Disease Control and Prevention (CDC) growth charts (170 cm). Some 15-year-old guys may be shorter or taller than usual.

Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.

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After 3 years, the amount of radioactive material that remains is approximately 29.56 grams.

Given that the radioactive substance is decaying according to the formula

y=Ae^(-0.2x)

where y is the amount of material that remains after x years.

The initial amount A = 80 grams. We need to find how much is left after 3 years.

So, we need to find y when x = 3.

Substituting A = 80 and x = 3 in the formula, we get;

y = Ae^(-0.2x) y = 80e^(-0.2 × 3) y = 80e^(-0.6)

On simplification, we get;

y ≈ 29.56 grams

Therefore, after 3 years, the amount of radioactive material that remains is approximately 29.56 grams.

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Answer:

-11 < x < 11

Step-by-step explanation:

The domain is the two points of the x, where one is the smallest and the biggest. In this case, -11 and 11 are the domains of this graph. And because this is not a close circle, there will not be an equal sign.

So, our answer is

-11 < x < 11

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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The required simple interest of 10% of four year on principle amount is $857.

Simple interest depends on the chief measure of a credit or the first store in quite a while account. Straightforward interest doesn't build, and that implies a loan boss will just compensation interest on the chief sum and a borrower couldn't have ever to pay more interest on the recently gathered interest.

We have,

Amount of four year = $1200

simple interest = 10%

Let loaned amount is x

Then,

interest of four year =×4 x×10/100 = 4x/10

According,

x + 4x/10 = $1200

14x/10 = $1200

x = $12000/14

X = $857 (appox)

Thus, the required loaned amount is $857.

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Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

Answer:

1

Step-by-step explanation:

1+1=2

Click below for more info

The x-intercept of the linear equation is (7, 0).

Here we have the following linear equation:

y = x - 7

We want to find the x-intercept, this is the point where the line intercepts the x-axis, it will happen when we take the value of y = 0, then we need to solve.

0 = x - 7

Solving that, we get:

7 = x

Then we conclude that the x-intercept of the linear equation is (7, 0).

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Answer:

\(\boxed{x=60}\)

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.

\(130=70+x\)

Subtract 70 from both sides.

\(130-70=70+x-70\)

\(60=x\)

Answer:

x = 60°

Step-by-step explanation:

Exterior angle is equal to the  sum of opposite interior angles

x + 70 = 130

Subtract 70 from both sides

x = 130 - 70

x = 60°

Answer:

He drove 6 hours.

Step-by-step explanation:

distance = rate times time

300 = 50t  Divide both sides by 50

t = 6

Answer:

B.

Step-by-step explanation:

If every week she adds 25 dollars, then she has to still add 25 dollars. So, B. will be the correct answer.

The probability that a second call will not arrive in the next 20 seconds is approximately 0.2636 or 26.36%.

Poisson probability is a mathematical concept that describes the probability of a certain number of events occurring in a fixed interval of time or space, given a known average rate of occurrence. The Poisson probability distribution is named after French mathematician Siméon Denis Poisson, who introduced it in the early 19th century to model the occurrence of rare events, such as errors in counting or measurement, accidents, or phone calls.

The Poisson probability distribution is a discrete probability distribution that gives the probability of a certain number of events (x) occurring in a fixed interval (t), when the average rate of occurrence (λ) is known. The Poisson probability distribution assumes that the events occur independently and at a constant average rate over time or space. The formula for Poisson probability is:

P(x; λ) = (\(e^{-\lambda}\)) * λˣ) / x!

where:

P(x; λ) = the probability of x occurrences in a given interval, when the average rate is λ

e = a mathematical constant e (approximately 2.71828)

λ = it is the average rate of occurrence in the given interval

x = it is number of occurrences in the given interval

Given that calls for dial-in connections arrive at an average rate of four per minute and follow a Poisson distribution, we can use the Poisson probability formula to solve this problem. The Poisson probability formula is:

P(x; λ) =  (\(e^{-\lambda}\)) * λˣ) / x!

where:

P(x; λ) = the probability of x occurrences in a given interval, when the average rate is λ

e = a mathematical constant e (approximately 2.71828)

λ = the average rate of occurrence in the given interval

x = it is the number of occurrences in the given interval

In this problem, we are interested in finding the probability that a second call will not arrive in the next 20 seconds, given that a call has already arrived at the beginning of a one-minute interval. Since we are given the average rate of calls per minute, we need to adjust the interval to 20 seconds, which is 1/3 of a minute. Therefore, the average rate of calls per 20 seconds is:

λ = (4 calls/minute) * (1/3 minute) = 4/3 calls/20 seconds

Using the Poisson probability formula, we can calculate the probability of no calls arriving in the next 20 seconds:

P(0; 4/3) = ( \(e^{-4/3}\)* (4/3)⁰) / 0! = \(e^{-4/3}\) ≈ 0.2636

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Answer:

periodttt. get out ya bag n make det money up.

Step-by-step explanation:

brainliestt:)?

The orientation of the element with respect to the original element is given by the angle (θ) from the x-axis to the principal axis.

To determine the principal strains and the maximum in-plane shear strain, we first need to calculate the principal strains and their orientations. The principal strains represent the maximum and minimum strains experienced by the element.

Given:

εx = -310 × 10⁻⁶

εy = 0

γxy = 150 × 10⁻⁶

To find the principal strains, we need to solve the equation for the characteristic equation:

λ² - (εx + εy)λ + εxεy - γxy² = 0

Plugging in the given values:

λ² - (-310 × 10⁻⁶ + 0)λ + (-310 × 10⁻⁶ × 0) - (150 × 10⁻⁶)² = 0

Simplifying the equation:

λ² + 310 × 10⁻⁶λ + (150 × 10⁻⁶)² = 0

We can solve this quadratic equation to find the values of λ, which represent the principal strains.

Using the quadratic formula:

λ = (-b ± √(b² - 4ac)) / (2a)

a = 1

b = 310 × 10⁻⁶

c = (150 × 10⁻⁶)²

Calculating λ:

λ = (-310 × 10⁻⁶ ± √((310 × 10⁻⁶)² - 4(1)(150 × 10⁻⁶)²)) / (2(1))

λ = (-310 × 10⁻⁶ ± √((96100 × 10⁻¹²) - (4)(22500 × 10⁻¹²))) / 2

λ = (-310 × 10⁻⁶ ± √((96100 - 90000) × 10⁻¹²)) / 2

λ = (-310 × 10⁻⁶ ± √(6100 × 10⁻¹²)) / 2

λ = (-310 × 10⁻⁶ ± 78.189 × 10⁻⁶) / 2

Now we can calculate the values of λ:

λ₁ = (-310 × 10⁻⁶ + 78.189 × 10⁻⁶) / 2

= -231.805 × 10⁻⁶

λ₂ = (-310 × 10⁻⁶ - 78.189 × 10⁻⁶) / 2

= -193.595 × 10⁻⁶

Therefore, the principal strains are:

ε₁ = -231.805 × 10⁻⁶

ε₂ = -193.595 × 10⁻⁶

The maximum in-plane shear strain (γmax) can be calculated using the formula:

γmax = (ε1 - ε2) / 2

γmax = (-231.805 × 10⁻⁶ - (-193.595 × 10⁻⁶)) / 2

= -19.105 × 10⁻⁶

The average normal strain (εavg) is the average of the principal strains:

εavg = (ε₁ + ε₂) / 2

εavg = (-231.805 × 10⁻⁶ + (-193.595 × 10⁻⁶)) / 2

= -212.7 × 10⁻⁶

Now let's determine the orientations of the corresponding elements.

Therefore, The orientation of the element with respect to the original element is given by the angle (θ) from the x-axis to the principal axis.

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Answer:

Minimum=60

Quartile Q1: 79

Median: 86

Maximum:100

Quartile Q3:89

Interquartile range IQR: 10

Step-by-step explanation:

Rose gets 12 refills by a coffee shop.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A coffee shop sells a mug for $8.95. Each refill costs $1.50.

And, Last month Rose spent $26.75 on a mug and refills.

Let number of refills she get = x

So, We can formulate;

⇒ $8.95 + $1.50x = $26.75

⇒ 8.95 + 1.50x = 26.75

⇒ 1.50x = 26.75 - 8.95

⇒ 1.50x = 17.80

⇒ x = 17.8 / 1.5

⇒ x = 12

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solving for "xx"

\(\sqrt{xx - 2}=7\implies \sqrt{xx - 2}=7\implies (\sqrt{xx - 2})^2=(7)^2 \\\\\\ xx-2=49 \implies xx=51\)

The scale factor of triangle PQR to triangle STU is 3/2

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying.

Taking a point of reference say PR and SU

PR = 8

SU = 12

let the scale factor be r such that

8 * r = 12

r = 12 / 8

r  = 3/2

checking with other sides

PR to UT

6 * 2/3 = 9 correct

QP to TS

10 * 3/2 = 15 correct

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A grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

What is a heart rate?

The number of heartbeats that occur in a specific amount of time, usually one minute. The wrist, side of the neck, back of the knees, top of the foot, groin, and other areas of the body where an artery is close to the skin can all detect the heartbeat.

Here,

We let his normal heart rate = h

and given in the question,

20% of h = 10

20/100 * h = 10

h = 10*5

= 50 beats/min

Hence, a grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

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