How does nicle have 4 baskets

\(57=\cfrac{5}{8}z+7\implies 57=\cfrac{5z}{8}+7\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{8}}{8(57)=8\left( \cfrac{5z}{8}+7 \right)} \\\\\\ 456=5z+56\implies 400=5z\implies \cfrac{400}{5}=z\implies 80=z\)

1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns

1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.

To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:

reliability = 0.95

time = maintenance interval

Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.

2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.

The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:

Probability of no breakdowns = (reliability of a single machine)^3

Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:

Probability of at least one breakdown = 1 - Probability of no breakdowns

By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.

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Answer:

(a - b)²

Step-by-step explanation:

We are given 2 (a - b) terms.

We can rewrite this as (a - b)².

Answer: x≤-6 or 0<x≤6.Option D.

Step-by-step explanation:

Given:

Subtract   from both sides,

0

Simplifying by taking common denominator:

0

Factoring numerator:

0

Computing the signs and selecting that one satisfies ≤ 0:

x≤ -6,0<x≤6.

Option D is the right answer.

Answer:

8 hours

Step-by-step explanation:

Answer:

bjhmiukjgjhkuijkl

Step-by-step explanation:

Answer:

cy+d to the middle of the problem

Answer:

1) mm³

2) cm³

3) m³

4) dm³

5) dm³

Step-by-step explanation:

A dice will usually have smaller measurements

A blackboard eraser will have larger lengths than a dice.

Water in a rectangular pool has a lot of space.

A refrigerator will have a large height but it is not as much as a pool.

A fishpond wouldn't be longer than a metre.

Answer:

185ft squared

Step-by-step explanation:

since this is a composite solid, all we have to do is use the 2 formulas:

b x h / 2  (Triangles on the pyramid)

l x w (Rectangular faces)

to solve the surface area of the composite figure.

Therefore, we have shown that segment AB is congruent to segment CD.

Parallel lines are two or more lines in a plane that never intersect, no matter how far they are extended in either direction. In other words, parallel lines are lines that are always the same distance apart and never touch or cross each other. In geometry, parallel lines are denoted by a double vertical bar symbol "||" placed between the two lines. For example, the lines AB and CD are parallel if and only if AB || CD. They form supplementary angles with a transversal that intersects them. Parallel lines are used in a variety of mathematical applications, such as in the study of Euclidean geometry, trigonometry, and calculus. They are also used in everyday situations, such as in road markings, train tracks, and architecture.

Here,

We are given that AD is parallel to BC and AB is parallel to CD. We need to prove that segment AB is congruent to segment CD.

Proof:

By the given information, AD is parallel to BC and AB is parallel to CD.

Since AD is parallel to BC and AB is parallel to CD, we have opposite angles congruent by the Alternate Interior Angles Theorem.

Let ∠A and ∠C be opposite angles, and let ∠B and ∠D be opposite angles.

We have ∠A ≅ ∠C and ∠B ≅ ∠D by the Alternate Interior Angles Theorem.

Therefore, triangles ABC and CDA are similar by the Angle-Angle (AA) Similarity Theorem.

By the definition of similarity, corresponding sides of similar triangles are proportional.

Since AB is a side of triangle ABC and CD is a corresponding side of triangle CDA, we have AB/CD = BC/DA.

Since AD is parallel to BC and AB is parallel to CD, we have BC/DA = AB/CD by the Alternate Interior Angles Theorem.

Combining equations (7) and (8), we have AB/CD = AB/CD.

Therefore, AB is congruent to CD by the Reflexive Property of Equality.

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Complete question:

Given that AD is parallel to BC and AB is parallel to CD. Prove that AB ≅ CD.

The value of x is 6 for the data having the median as 9.

We are given some data:

x - 4, x, 2 x and 2 x + 12

We are also given that the median of these terms = 9

M = 9

Now, we have to find the value of x

Now, we know that the median of some data having even values will be:

M = 2nd term + 3rd term / 2

M = x + 2 x / 2

9 = 3 x / 2

3 x = 18

x = 18 / 3

x = 6

Therefore, we get that, the value of x is 6 for the data having the median as 9.

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Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

Answer:

25

Step-by-step explanation:

5 * 3 + 2 * 5 = 15 + 10 = 25

Answer:

25

Step-by-step explanation:

  5x + 2z

5(3) + 2(5)

   15 + 10

       25

Have a nice day

The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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Given:

The initial rent is $1990.

The increased percentage is 29.5%.

So, the new rent will be,

Hence, the increased rent is $2566.05.

Therefore, the correct option is, c.

If two cities on map are \(5\frac{3}{4}\) inches apart, then the actual distance between the cities is 345 miles .

In the question ,

it is given that ,

the scale on the map is 1/2 inches is = 30 miles .

So , 1 inches on the map is = 60 miles.

So , the scale factor is 1 inch = 60 miles .

also given that the distance between the two cities on the map is = \(5\frac{3}{4}\) inches ,

means , 23/4 inches .

So , the actual distance is = 23/4 × 60

Simplifying further ,

we get ,

= 345 miles .

Therefore , the actual distance is 345 miles , the correct option is (d) .

The given question is incomplete , the complete question is

The scale on a map reads 1/2 inch = 30 miles. If two cities on the map are \(5\frac{3}{4}\) inches apart, find the actual distance between the cities.

A. 300 miles

B. 315 miles

C. 327 miles

D. 345 miles

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Answer:

Well plz dont delete my question  I need points to get mine out

Step-by-step explanation:

Answer:  

36

Step-by-step explanation:

You can see that the rectangle can be broken into a square to match the top square.  Use 3^2 to get 9 and multiply by two to get the area of both squares, 18.  Now use L*W to find the area of the rectangle, you should get 18 as well.  Add to get 36.  

Answer:

0

Step-by-step explanation:

By the below figure you can see that 1/9 is closer to 0

so it is 0

Answer:

probably 30 degrees sorry if im wrong

Answer:Can somebody also help me with this. i'm confused please hurry!

Step-by-step explanation:

The difference between Tom and Alfie is  1 kg

Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.

Substituting the second and third equations into the first equation gives us:

T = (A - 2) + 3 + 5

T = A - 2 + 3 + 5

T = A + 1

So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.

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Answer:

Step-by-step explanation:

Hello!

*Full text*

A fisheries biologist has been studying horseshoe crabs. She has sampled 100 horseshoe crabs and recorded their weight (in kilograms) and width (in centimeters). The proposed regression equation is

weight = b + width * m

This model was fit to the data using the method of the least squares. The following results were obtained from statistical software.

(See attachment for output)

R2 = 0.423

A.) What is the regression equation for this example?

The estimate for the y-intercepts is b= 2.3013 and the estimate for the slope is m= 0.7963

In general, we can symbolize the estimated regression equation as ^Y= b + m*Xi. For this example you have to replace it with the calculated values of the regression coefficients to obtain the estimated regression equation:

^Y= 2.3013 + 0.7963Xi

B.) What is the explanatory, or predictor, variable in this study?

The explanatory or predictor variable is the variable that is suspected to have an effect over the response variable. In this example the predictor variable is:

X: Width of a horseshoe crab (cm)

C.) If the researcher wanted to test whether there is a statistically significant relationship between these two variables, what would the test statistic be? Calculate it from the table above.

To test if the regression is significant, the parameter of study will be the slope of the regression equation, symbolically: β. If the slope is equal to zero "β=0" then there is no linear regression between the response and explanatory variable. If the slope is different from zero "β≠0" then the regression is significant and the explanatory variable affects the response variable.

The hypotheses are:

H₀: β=0

H₁: β≠0

α: 0.05

\(t= \frac{m-\beta }{S_m} ~t_{n-2}\)

\(t_{H_0}= \frac{0.7963-0}{0.0939}= 8.48\)

The value of the statistic under the null hypothesis is t= 8.48

D.) What can we say about the p-value?

This test is two-tailed and so is the p-value, remember that the p-value is the probabulity of obtaining a value as extreme as the value of the statistic under the null hypothesis. The distribution for this test is a t with n-2= 100-2= 98 degrees of freedom. You can calculate the p-value as:

P(t₉₈≤-8.48) + P(t₉₈≥8.48)= P(t₉₈ ≤ -8.48) + (1 - P(t₉₈ < 8.48) ≅ 0.00001

E.) Ultimately, the reason that we find test statistics is so that we can compare them to a null distribution. For regression, that is a t-distribution based on the degrees of freedom. With 98 degrees of freedom (100-2), we can safely say that the critical t (or the confidence multiplier) is what?

As mentioned before, this test is two tailed, meaning that the rejection region is divided in two:

Critical values ±\(t_{n-2;1-\alpha /2}\) = ± \(t_{98; 0.975}\) = ± 1.984

This means that you'll reject the null hypothesis when the statistic is t ≤ -1.984 or if the statistic is t ≥ 1.984-

F.) Find the confidence interval for the slope.

Using a 95% confidence level, the interval for the slope is:

[m ± \(t_{n-2;1-\alpha /2}\) Sm]

[0.7963 ± 1.984 * 0.0939]

[0.61; 0.98]

G.) Is there a statistically significant relationship? Answer with the test statistic and the confidence interval.

Yes, there is a significant relationship between the width and weight of the horseshoe crabs.

Using the critical value approach:

The calculated statistic is 8.48 and the critical value is ± 1.984, since the statistic is greater than the positive critical value, the decision is to reject the null hypothesis.

If you pay attention to the confidence interval, which was made at a confidence level complementary to the significance level of the hypothesis test, this interval [0.61; 0.98] doesn't include the "zero". Since the interval doesn't include the value of the parameter stated in the null hypothesis, you can conclude that this hypothesis is not true and therefore reject it.

I hope this helps!

Hey there!

Solve for x :

x = 6 ✅

3x - 2 = 16

>> Add 2 to both sides :

3x - 2 + 2 = 16 + 2

3x = 18

>> Divide each side by 3 :

3x / 3 = 18 / 3

x = 6

▪️Let's verify :

3(6) - 2 ⇔18 - 2 ⇔ 16

Therefore, your answer is x = 6

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3x−2=16

Add 2 to both sides.

3x=16+2

Add 16 and 2 to get 18.

3x=18

Divide both sides by 3.

x = 18 /3

Divide 18 by 3 to get 6.

x = 6 ===> Answer

Let x = 6

3×6−2=16

18-2= 16

16 = 16

Checked ✅

The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).

To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:

(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)

where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.

In this case, θ = 90 degrees, so we have:

(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)

        = (-6, -4)

Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).

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Answer:

\(3x + 2y = 6 \\ \boxed{ \frac{x}{2} + \frac{y}{3} = 1 }\)

\(4x - 2y = 10 \\ \boxed{\frac{x}{ \frac{5}{2} } + \frac{y}{( - 5)} = 1}\)

\( - 3x + 5y = - 15 \\ \boxed{ \frac{x}{5} + \frac{y}{( - 3)} = 1}\)

From the graph of the function, it's behavior on the intervals is given as follows:

Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast" along the xy-plane, that is, to the right and up on the graph, meaning that when x increases, y increases.

Hence, from the graph of the function, it is increasing for the values to the right of x = 0, that is, on the interval x > 0.

Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast" along the xy-plane, that is, to the right and down on the graph, meaning that when x increases, y decreases.

Hence, from the graph of the function, it is decreasing for the values to the left of x = 0, that is, on the interval x < 0.

The graph of the function is shown at the end of the answer.

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Answer:

Step-by-step explanation:

15% of 20 is 3

Answer:

line 4

Step-by-step explanation:

i just know.

Answer:

54xy

Step-by-step explanation:

Any 4 sided parallelogram's area is the base multiplied by its height. We know both of those, 6x and 9y

The area is, 54xy

Answer:

u + v = 2

Step-by-step explanation:

If v = 1 - i

and u = 1 + i

Then we have to calculate and value of u + v

Now u + v = ( 1 - i ) + ( 1 + i )

               = (-i + i) + ( 1 + 1 )    [by adding like terms]

               =  0 + 2

               = 2

= u + v = 2

:D