An electronic component is known to have useful life represented by an exponential density failure rate of 10-5 failures per hour (i.e. 1 = 10-5). The mean time to failure, E(X), is thus 105 hours. Calculate the fraction of such components that would fail before the mean life or expected life.

Answer:

the ratio is baseballs 5:6 basketballs

The speed of the yacht's is 60km/hr.

Given that the yacht sailed at a steady speed for 0.1 hours and it sailed 6 kilometers in that time.

Speed ​​is defined as the rate at which an object changes position in any direction. Speed ​​is measured as the ratio between distance and time traveled. Speed is a scalar quantity because it has only one direction and no magnitude.

We will find the yacht's speed by using this formula

Speed=Distance/time

Here distance, d=6km and time, t=0.1hr.

S=d/t

S=6km/0.1hr

S=60km/hr

Hence, the speed of yacht when the yacht sailed at a steady speed for 0.1 hours and traveled 6 kilometers in that time is 60km/hr.

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The standard form of the equation of the ellipse with the given characteristics and center at the origin is (x^2 / 36) + (y^2 / 20) = 1

To find the standard form of the equation of the ellipse with the given characteristics and center at the origin, we can use the formula for the standard form of an ellipse:

(x^2 / a^2) + (y^2 / b^2) = 1

where 'a' represents the semi-major axis, and 'b' represents the semi-minor axis of the ellipse.

From the given information, we can observe that the distance from the center (origin) to the vertices is 6, which corresponds to the value of 'a'. Additionally, the distance from the center to the foci is 4, which corresponds to the value of 'c' (the distance from the center to the foci is related to 'c' through the equation c^2 = a^2 - b^2).

We can now calculate 'b' using the relationship between 'a' and 'c':

c^2 = a^2 - b^2

4^2 = 6^2 - b^2

16 = 36 - b^2

b^2 = 20

b = √20 = 2√5

Now we have the values of 'a' and 'b', we can substitute them into the standard form equation:

(x^2 / 6^2) + (y^2 / (2√5)^2) = 1

Simplifying further, we get:

(x^2 / 36) + (y^2 / 20) = 1

Therefore, the standard form of the equation of the ellipse with the given characteristics and center at the origin is:

(x^2 / 36) + (y^2 / 20) = 1

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Answer:

Step-by-step explanation:

Answer:

x=-38

Step-by-step explanation:

-19*2=-38

Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.

The values of a, b, c, and the critical and inflection points, we can plot the graph by considering the shape and behavior of the polynomial function.

To sketch a graph with specific characteristics, such as 4 roots, 6 critical points, and 6 inflection points, we need to consider a higher degree polynomial function. Let's construct a polynomial function that satisfies these requirements.

To have a single root, we can use a linear factor, (x - a). To have double roots, we can use a quadratic factor, (x - b)^2. And for a triple root, we can use a cubic factor, (x - c)^3.

Considering these factors, let's construct a polynomial function:

f(x) = (x - a)(x - b)^2(x - c)^3

To have 4 roots, we need to choose appropriate values for a, b, and c.

To have 6 critical points, we can set the derivative of f(x) equal to zero and solve for x. The number of critical points corresponds to the number of distinct solutions.

f'(x) = 0

Expanding and solving for x, we'll obtain 6 values for x that correspond to the critical points.

To have 6 inflection points, we can set the second derivative of f(x) equal to zero and solve for x. The number of inflection points corresponds to the number of distinct solutions.

f''(x) = 0

Expanding and solving for x, we'll obtain 6 values for x that correspond to the inflection points.

After determining the values of a, b, c, and the critical and inflection points, we can plot the graph by considering the shape and behavior of the polynomial function.

Please note that without specific values for a, b, and c, it's not possible to provide an exact graph. The process described above is a general approach to construct a graph with the given characteristics.

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An equation of a line AC with the given coordinates is 3x+11y+34=0.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y₁) = m(x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

Given that, ΔABC with the coordinates A(-4, -2), B(4, 4), and C(18, -8).

Here, the slope of AC is A(-4, -2) and C(18, -8)

So slope m=(-8+2)/(18+4)

m= -6/22

m= -3/11

Substitute m=-3/11 and (x₁, y₁)=A(-4, -2) in (y - y₁) = m(x - x₁), we get

(y+2)=-3/11 (x+4)

11y+22=-3x-12

3x+11y+34=0

Therefore, an equation of a line AC with the given coordinates is 3x+11y+34=0.

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Step-by-step explanation:

General equation for directly proportional variables: y = kx, where k is a real constant

When x = 8, y = 26.

Hence y = 26/8 x or y = 13/4 x.

The equation will be ; y = \(\frac{26}{8}\) × x .

It is given that y varies directly with x and y = 26 when x = 8.

We have to find out an equation that represents this relationship.

What will be the 8 times of a number x ?

The number will 8 x.

The direct variation relationship equation will be ;

y = k × x

where ; k = a constant

Given ;

at x = 8 ; y = 26

so the value of k = 26 / 8

and the required equation will be ;

y = (\(\frac{26}{8}\)) × x

Thus , the equation will be ; y = \(\frac{26}{8}\) × x .

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Answer:

negative 10

Step-by-step explanation:

Answer:

pizzas eaten =2/7 x 20

5 5/7 pizzas have been eaten

Step-by-step explanation:

pizzas eaten = 2/7 x 20

40 / 7 = 5 5/7

Answer:

Step-by-step explanation:

let marked price 100%

100%=$900

1%=9

so,35%=$315

1 month pays $60

so 12 month pays 12*60=720

total pays 720+315=$1035

more pays =$1030-900=$130

Answer:

(6,9)

Step-by-step explanation:

Answer:

The result can be shown in multiple forms.

Exact Form:

p= - 13/19

Decimal form:

p= - 0.68421052...

Answer:

y(2x+3y-6)

Step-by-step explanation:

2xy+ \(3y^{2}\)-6y

Find the H.C.F

2xy= 2×x×y

3y²= 3×y×y

6y= 6×y

H.C.F= y

2xy÷y+ 3y²÷y- 6y÷y

= 2x+ 3y- 6

= y( 2x+ 3y-6)

Answer:

5.5369

Step-by-step explanation:

tan(64) = 13/x

2.3478 = 13/x

Multiply both sides by x

2.3478x = 13

Divide both sides by 2.3478

5.5369 = x

Step-by-step explanation:

5.5369=x is the answer to the question

To find the number of people who like all three fruits, we can use the principle of inclusion-exclusion.In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges.

The total number of people who like only two fruits is 22, and they like at least one of the fruits.

Let's break it down:
- The number of people who like apples only is 45 - 22 = 23.
- The number of people who like bananas only is 30 - 22 = 8.
- The number of people who like oranges only is 15 - 22 = 0 (since there are no people who like only oranges).
To find the number of people who like all three fruits, we need to subtract the number of people who like only one fruit from the total number of people in the group:

6 - (23 + 8 + 0)

= 6 - 31

= -25.
Since we can't have a negative number of people, there must be an error in the given information or the calculations. Please check the data provided and try again.

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There are no people in the group who like all three fruits. In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges. We need to find the number of people who like all three fruits. To solve this, we can use a formula called the inclusion-exclusion principle.

This principle helps us calculate the number of elements that belong to at least one of the given sets.

Let's break it down:

1. Start by adding the number of people who like each individual fruit:
  - 45 people like apples
  - 30 people like bananas
  - 15 people like oranges

2. Next, subtract the number of people who like exactly two fruits. We know that there are 22 people who fall into this category, and they also like at least one of the fruits.

3. Finally, add the number of people who like all three fruits. Let's denote this number as "x".

Using the inclusion-exclusion principle, we can set up the following equation:

    45 + 30 + 15 - 22 + x = 6

Simplifying the equation, we get:

    68 + x = 6

Subtracting 68 from both sides, we find that:

    x = -62

Since the number of people cannot be negative, we can conclude that there are no people who like all three fruits.

In conclusion, there are no people in the group who like all three fruits.

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Answer:

10

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

180-75=105

Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.

acc  to our question-

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The probability that the total baggage weight exceeds the limit is 0.1056.

The normal distribution is a continuous probability distribution with most values located close to the center peak and is symmetrical around its mean.

For example,  heights, measurement errors, blood pressure, and IQ scores are normally distributed because the majority of people have these values close to the standard value.

Here, the mean \(\mu\) is 22 lbs, the standard deviation \(\sigma\) is 4 lbs, and the sample size n is 100.

The total baggage weight of the passengers is represented as \(\sum x\).

Then,

\(\begin{aligned} P\left(\sum x > 2250\right) &= P\left(\frac{\sum x}{ n} > \frac{2250}{100}\right)\\& = P( \bar{X} > 22.5) \end{aligned}\)

We know, that \(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)

So, representing in a normal distribution,

\(\begin{aligned}P\left[z > \frac{(22.5 - 22)}{\frac{4}{\sqrt100}}\right] &= P(z > 1.25) \\&= 0.1056\end{aligned}\)

From the z-distribution table, the value for z>1.25 is 0.1056.

Therefore, the answer is 0.1056.

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Answer:

for the first picture, she cleans 30 windows

the second picture is 52/100 :)

Answer:

It's B for the first one.

For the second one, it is C

Step-by-step explanation:

30 * 0.3 = 9

So 30% of 30 is 9. She did 9 windows.

0.52 = 52/100

It's 52/100 because 0.52 = 52%. 52% then equals 52/100.

52/100 = 13/25

So the answer is 13/25

Answer:

56 cuz he get 6 years more

Than maria

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ordinal variables.

Spearman's rank-order correlation is used when two variables are measured on an ordinal scale.

What is the Spearman Rank-Order Correlation Coefficient?

The Spearman Rank-Order Correlation Coefficient is a non-parametric statistical measure that estimates the relationship between two variables using ordinal data.

It evaluates the strength and direction of a relationship between two variables by rank-ordering the data.

The Spearman correlation coefficient, named after Charles Spearman, calculates the association between two variables' rankings.

The correlation coefficient ranges from -1 to +1. A value of +1 indicates that there is a perfect positive relationship between the variables, whereas a value of -1 indicates that there is a perfect negative relationship between the variables.

In contrast, a value of 0 indicates that there is no correlation between the variables.

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Answer:

It is a rational integer.

Step-by-step explanation:

'-3' is rational. It could be written as \(\frac{-3}{1}\).

It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.

Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.

'-3' is a rational number and an integer.

Hope this helps.

(384/960)*100 = 40%

answer: 40%

The slope of the line is 2.4 / 3.

The slope of a line is the change in the dependent variables with respect to the change in the independent variables.

In other words, the slope of a line is the change in y with respect to the change in x.

Therefore,

slope of the line = y₂ - y₁ / x₂ - x₁

Hence, (4, 1.2)(10, 6)

x₁ = 4

x₂ = 10

y₁ = 1.2

y₂ = 6

Therefore,

slope of the line = 6 - 1.2 / 10 - 4

slope of the line = 4.8 / 6

slope of the line = 2.4 / 3

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The frictional loss will be greater for aspect ratio of 2 as friction will be more when the height of the duct is higher compared to the increase in width.

In a straight duct with constant cross sectional area , the velocity of the water is changed. The change in static pressure is the frictional loss .

In the duct the energy is constant. Therefore when water moves upwards with the increase in height the frictional loss or the pressure loss will be more more.

When width increases there will be less pressure, So frictional loss will be increased with height.

Let the width and height be a and b respectively.

now area = ab

and a\b =2

or, a = 2b

again a\b = 4 or, a = 4b

if ab is constant then the height for the aspect ratio of 4 is greater.

Therefore there will be more frictional loss for the increased height.

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Answer:

3.987923694

Step-by-step explanation:

Quadratic formula and plug in the numbers:

T = (-45 +-(sqrt(2025+4800)))/-32

the object will be at a height of 0 feet  0.97 seconds and 4.53 seconds after it is propelled.

h(t) = -16t² + 45t + 75

-16t² + 45t + 75 = 0

using the quadratic formula:

t = (-b ± √(b² - 4ac)) / (2a)

a = -16, b = 45, and c = 75.

We then Substitute these values into the quadratic equation

t = (-(45) ± √((45)² - 4(-16)(75))) / (2(-16)

t = (-45 ± √(2025 + 4800)) / (-32)

t = (-45 ± √6825) / (-32)

We find the value of t using both the positive and negative square root:

t₁ = (-45 + √6825) / (-32)

t₂ = (-45 - √6825) / (-32)

t₁ =0.97 seconds

t₂=  4.53 seconds

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a. To find dy/dx of the given implicit function T(x+y²)/(y-x²)(x+2), we can use the quotient rule. Applying the quotient rule, we differentiate the numerator and denominator separately with respect to x, treating y as a constant. Simplifying the expression gives us the final result for dy/dx in terms of T'(x+y²).

b. To evaluate the limit lim x→2+ Tln(x - 2) / In(x² - 4) using L'Hôpital's Rule, we differentiate the numerator and denominator with respect to x. Applying the rule repeatedly until we reach an indeterminate form, we differentiate the numerator and denominator multiple times. Finally, we substitute x = 2 into the expression to obtain the value of the limit.



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