Select the correct answer from each drop-down menu. car model brake failure in new car a 0.0065% b 0.0037% c 0.0108% d 0.0029% e 0.0145% total 0.0048% the table gives the probabilities that new cars of different models will have brake failure. the car model that is least likely to have a brake failure is model , and the probability of brake failure for this model is %.

Answer:

d = 437 cm

Step-by-step explanation:

1 cm^2 costs 0.02 cents.

x cm^2 costs 29.99 dollars which is 2999 cents.

1 cm^2 / 0.02 = x / 2999                   Cross multiply

0.02 cents x = 2999 cents cm^2     The cents will cancel out and you get

0.02 x = 2999 cm^2                          Divide by 0.02

x = 2999 cm^2 / 0.02

x = 149950 cm^2

The area of a circular pizza is going to be pi * r^2 just as it is for any circle.

pi * r^2 = 149950                              Since pi = 3.14 divide by 3.14

r^2 = 149950 / 3.14

r^2 =  47754.8                                   Take the square root of both sides.

sqrt(r^2) = sqrt(47754.8)

r = 218.53 cm

This think is huge -- well over 6 feet. in radius.

r = 218.53

d = 2* r = 437.057

d = 437 cm

Answer:

the answer is option D. Uranium - 235

Answer:

4 pieces

Step-by-step explanation:

To perform the calculation, it's easier for both values to have the same denominator.

2/3 yards is the same as 4/6 yards.

Now we have two values with the same denominator: 4/6 and 1/6.

(4/6) / (1/6) = 4.

Given ΔPQR, the diagram shows possible segments are:

1.SR, 2. PQ AND PS and 3. QR

Segment:

A segment has two distinct endpoints on a line. The length of a line segment is fixed, that is, the distance between two fixed points. Here, length can be measured in metric units such as centimeters (cm), millimeters (mm) or in conventional units such as feet or inches.

Geometric Mean:

The geometric mean (GM) is an average or mean that expresses the central tendency of a set of numbers by multiplying their values. Basically, we multiply the numbers exactly and take the nth root of the multiplied number, where n is the total number of data values. For example: For a given set of two numbers, say 3 and 1, the geometric mean is equal to √(3×1) = √3 = 1.732.

Given:

Segments                                              Geometric Mean

PS and QS                                           \(\sqrt{(PS)* (QS)}\) or RS

PQ and QR                                                  PR

PQ and QS                                                   QR

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Answer:

1+3=4

4+5=9

9+7=16

as we can observe that the we have to add the odd numbers in sequence

16+9=25

25+11=36

hope this helps you

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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The environment changed in such a way that, "guppies with small spots had a better chance of survival and reproduction, leading to an increase in their population and a decrease in the population of guppies with large spots".

Over many generations, guppies with small spots had a survival advantage in the river because the rocks on the river bottom became smaller. This made guppies with small spots harder for larger fish to see and catch, increasing their chances of survival and reproduction.

As a result, more guppies with the small spot gene passed it on to their offspring, leading to an increase in the population of guppies with small spots. At the same time, the population of guppies with large spots decreased as they were more visible to predators and had a lower chance of survival. This process of natural selection led to a change in the frequency of different traits within the population of guppies.

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By substituting T(t) into the equation N(T), we can determine the number of bacteria. After 7.1 hours, the estimated number of bacteria is approximately _______ (rounded to the nearest whole value).

To find the composite function N(T(t)), we substitute T(t) into the equation N(T). Since T(t) = 4t + 1.8, we replace T with 4t + 1.8 in the equation N(T):

N(T(t)) = 27(4t + 1.8)² - 155(4t + 1.8) + 59.6

Simplifying the equation gives:

N(T(t)) = 27(16t² + 14.4t + 3.24) - 620t - 279 + 59.6

N(T(t)) = 432t² + 388.8t + 87.48 - 620t - 219.4

N(T(t)) = 432t² - 231.2t - 131.92

To find the number of bacteria after 7.1 hours, we substitute t = 7.1 into the equation:

N(T(7.1)) = 432(7.1)² - 231.2(7.1) - 131.92

N(T(7.1)) = 22159.392 - 1644.72 - 131.92

N(T(7.1)) ≈ 20482.772

Therefore, after 7.1 hours, the estimated number of bacteria is approximately 20,483 bacteria (rounded to the nearest whole value).

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Answer:

f(x) = 2x+5

Step-by-step explanation:

As you know, a student ticket is one item, and you only need one of these to enter a football game. We will assume he is by himself and without friends. There are items he can buy for $2 each at the concession stand.

With what we know, we can conclude that the total cost to attend the football game could be a function.

The function will be

f(x) = 2x + 5

This is because you buy the ticket one time and buys x items, which is modeled by the function.

I'm sorry that I can't send any links, but if you go to desmos graphing calculator, you can find type the function out and get the graph of the function. Remember to look only at the first quadrant!

Your welcome for the answer, and comment if you have any questions! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

Answer:

We have the function y = k(x).

We want to define a new function p(x), such that is equal to k(x) but translated down 3 units.

When we have a general case of a function y = f(x), the function g(x) = f(x) + A is a translation of A units up (if A is positive) or A units down (if A is negative).

Then if we want to go 3 units up, we should have:

p(x) = k(x) + 3.

So now our points are:

(x, y) = (x, p(x)) = (x, k(x) + 3)

So for all the points the y-coordinate has ben mooved 3 units up.

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:\(a=4jk\\isolate J: divide 4 and k\\= \frac{a}{4k} =J\)

Step-by-step explanation:

Answer:

\(a = 4jk \\ akj = a \\ \frac{akj}{4k} \: = \frac{a}{ak} \\ j = \frac{a}{4k} \\ \)

Here ur ans.

By:- Utsav Xettri

Answer:

\(t=4.6\times 10^{-4}\ s\)

Step-by-step explanation:

We have,

Initial velocity of arm club is 23 m/s

Acceleration is 100000 m/s²

It is required to find the time taken by it to take the arm-club to get to 23 m/s. It means v = -23 m/s. It is based on the equation of kinematics such that :

\(v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{-23-23}{100000}\\\\t=4.6\times 10^{-4}\ s\)

So, the time taken by it is \(4.6\times 10^{-4}\ s\).

Answer:

34.77

Step-by-step explanation:

Let's denote the length of the shorter part as x.

According to the given information, the shorter part is one quarter of the length of the rod. Since the rod is 200 cm long, the length of the shorter part can be expressed as:

x = (1/4) * 200

x = 50 cm

Now, to express the shorter part as a percentage of the longer part, we need to calculate the ratio of the shorter part (50 cm) to the longer part (200 cm) and multiply it by 100 to convert it into a percentage:

Percentage = (Shorter Part / Longer Part) * 100

= (50 / 200) * 100

= 0.25 * 100

= 25%

Therefore, the shorter part is 25% of the longer part.

Answer:117 feet

Step-by-step explanation:

There are 12 inches in 1 foot

Multiply 12 x 9 which equals 108

Since you have a decimal, you take 75% of 12 which is 9, and add that to your inches

108 + 9 = 117

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Answer:

D. -1.44 and 2.44

Step-by-step explanation:

\(f(x) = 2 {ax}^{2} + (3 - b)x + 7\)

is equal to:

\(g(x) = (a - 1) {x}^{2} + 2bx + 7\)

•◇•◇○◇•◇•

➡️ \( - 2 {x}^{2} + 2x + 7 = 0\)

➡️ \(Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746\)

➡️ \(x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ} \)

➡️ \( x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44\)

➡️ \( x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44\)

The correct answers from the given lists are given as follows: Relation (a) a is (strictly) older than bA. irreflexiveB. asymmetricC. antisymmetricD. reflexiveE. transitive Relation (b) a and b have a common grandparentA.

irreflexiveB. antisymmetricC. symmetricD. reflexiveE. transitiveRelation (c) a has the same first name as bA. transitiveB. irreflexiveC. antisymmetricD. symmetricE. reflexiveRelation (d) a and b were born on the same dayA. transitiveB. reflexiveC. irreflexiveD. antisymmetricE. symmetric.

The given lists include different types of relations. Let's discuss the given relations one by one.(a) a is (strictly) older than b:This relation is irreflexive because a person can't be older than oneself. This relation is asymmetric because if a is older than b then it can't be possible that b is older than a.

This relation is antisymmetric because if a is older than b and b is older than a, then it means that a and b are the same person which is not possible. This relation is not reflexive because there is no one who is older than oneself. This relation is transitive because if a is older than b and b is older than c then a is also older than c.(b) a and b have a common grandparent:This relation is irreflexive because a person can't have a common grandparent with oneself. This relation is antisymmetric because if a has a common grandparent with b then it can't be possible that b has a common grandparent with a. This relation is symmetric because if a has a common grandparent with b then b also has a common grandparent with a. This relation is not reflexive because there is no one who has a common grandparent with oneself. This relation is transitive because if a has a common grandparent with b and b has a common grandparent with c then a also has a common grandparent with c.(c) a has the same first name as b:

This relation is transitive because if a has the same first name as b and b has the same first name as c then a has the same first name as c. This relation is irreflexive because a person can't have the same name as oneself. This relation is antisymmetric because if a has the same name as b then it can't be possible that b has the same name as a. This relation is symmetric because if a has the same name as b then b also has the same name as a. This relation is not reflexive because there is no one who has the same name as oneself.

(d) a and b were born on the same day: This relation is transitive because if a was born on the same day as b and b was born on the same day as c then a was born on the same day as c. This relation is reflexive because every person is born on the same day as oneself. This relation is irreflexive because no person is born on a different day than oneself. This relation is antisymmetric because if a was born on the same day as b then it can't be possible that b was born on the same day as a. This relation is symmetric because if a was born on the same day as b then b was also born on the same day as a.

The correct answers for each given relation are listed above.

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Answer:

19 ft because the median is 4.5th item so,the commutative frequency just greater than 4.5 is 6.

so,median=9ft

The number of distinguishable ways to arrange the letters in the word "children" is 362,880 and in "bookkeeper" is 1,44,000.

(a)The number of distinguishable ways to arrange the letters in the word "children" is 362,880.

The word "children" has 8 letters, so there are 8! (8 factorial) ways to arrange them. However, since the letters "i", "l", and "d" appear twice in the word, we need to divide by 2! (the number of ways to arrange the repeated letters) three times. Thus, the total number of distinguishable arrangements is:

8! / (2! × 2! × 2!) = 362,880

(b) The number of distinguishable ways to arrange the letters in the word "bookkeeper" is 1,44,000.

The word "bookkeeper" has 9 letters, so there are 9! (9 factorial) ways to arrange them.

However, since the letters "o" and "k" appear twice, and the letters "e" and "p" appear three times, we need to divide by 2! (the number of ways to arrange the "o" and "k"), 3! (the number of ways to arrange the "e" and "p"), and 2! (the number of ways to arrange the two sets of repeated letters).

Thus, the total number of distinguishable arrangements is:

9! / (2! × 3! × 2!) = 144,000

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Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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Answer:

12

Step-by-step explanation:

Let x = number of 50.00 notes.

They are worth 50x

Then, 2x = number of 20.00 notes.

They are worth 2x * 20 = 40x

50x + 40x < 1100

90x < 1100

9x < 110

x < 12.2

Answer: 12

Check:

x = 12   (number of 50.00 notes)

2x = 24    (number of 20.00 notes)

12 * 50 + 24 * 20 = 1080

If she used one more 50.00 note, she'd go over 1,100, so 12 is correct.

Answer:

It would take 9 years for the population to fall below 10000.

By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.

Let be a quadratic function of the form a · x² + b · x + c = 0, whose roots can be found by means of the following formula:

\(x = \frac{-b \pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\)     (1)

Where a, b, c are the coefficients of the quadratic function.

In we know that 2 · x² - 2 · x + 5 = 0, then the roots of the polynomial are, respectively:

\(x_{1} = \frac{2 + \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)

\(x_{1} = \frac{2 + \sqrt{4-40}}{4}\)

x₁ = 0.5 + i 1.5

\(x_{2} = \frac{2 - \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)

\(x_{2} = \frac{2 - \sqrt{4-40}}{4}\)

x₂ = 0.5 - i 1.5

By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.

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The equation of the hyperbola is \(\frac{(x+2)^2}{a^2} - \frac{(y-2)^2}{b^2} = 1\).

To find the equation of the hyperbola, we need to determine the values of \(a\), \(b\), and \(c\). Given the vertices \((2,2)\) and \((-6,2)\), we can find the distance between them, which represents \(2a\), the length of the major axis.

Distance between vertices: \(2a = |-6-2| = 8\)

 \(a = \frac{8}{2} = 4\)

The eccentricity of the hyperbola, \(e\), is given as \(\frac{c}{a} = \frac{5}{4}\). Solving for \(c\):

\(\frac{c}{4} = \frac{5}{4}\)

\(c = 5\)

The distance between the center and each focus is \(c\), so the coordinates of the foci are \((-2+5,2)\) and \((-2-5,2)\), which simplifies to \((3,2)\) and \((-7,2)\).

Now we can write the equation of the hyperbola using the given information:

\(\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1\)

Since the center is \((-2,2)\), we have:

\(\frac{(x+2)^2}{4^2} - \frac{(y-2)^2}{b^2} = 1\)

To find \(b^2\), we can use the relationship between \(a\), \(b\), and \(c\):

\(c^2 = a^2 + b^2\)

\(5^2 = 4^2 + b^2\)

\(25 = 16 + b^2\)

\(b^2 = 9\)

Thus, the equation of the hyperbola is:

\(\frac{(x+2)^2}{16} - \frac{(y-2)^2}{9} = 1\)

This is the standard form of the equation of the hyperbola.

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