What is the probability that the first spinner will not land on 1 and the second spinner will land on a number less than 5?

Answer:

x=21

Step-by-step explanation:

Answer:

Amount needed by her \(=\$(5x+5)\)

Step-by-step explanation:

Given: Susie wants to buy 5 slices of pizza and a litre of soda that cost $5 for her and her friends

To find: amount needed by her

Solution:

Let cost of 1 slice of pizza be \(\$x\). Also, a litre of soda costs $5.

Cost of 5 slices of pizza \(=\$5x\)

Cost of a litre of soda \(=\$5\)

Total amount needed by her \(=\$(5x+5)\)

On Mondays at noon, the switchboard in a Minneapolis legal firm receives an average of 5.5 incoming calls. Consequently, X's standard deviation is 2.35 calls.

The current personnel can handle up to six calls in an hour, according to experience.

A Poisson distribution with an average number of calls  of 5.5 on Mondays around lunchtime can be used to model the scenario that is being given.

Thus, the following equation represents the standard deviation for the number of calls received, X:

2.35 calls make up the standard deviation of X.

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Answer:

q

Step-by-step explanation:

We can say with 95% confidence that the true average stopping distance for cars equipped with system 1 is between 9.20 and 22.80 units shorter than the true average stopping distance for cars equipped with system 2.

To calculate the 95% confidence interval (CI) for the difference between the true average stopping distances for cars equipped with system 1 and system 2, we can use the formula:

CI = (x1 - x2) ± t * SE

Where:

x1 and x2 are the sample means,

t is the critical value from the t-distribution for the desired confidence level,

SE is the standard error.

We have:

x1 = 113.6 (mean stopping distance for system 1)

x2 = 129.6 (mean stopping distance for system 2)

s1 = 5.04 (standard deviation for system 1)

s2 = 5.36 (standard deviation for system 2)

n1 = n2 = 7 (sample sizes for both systems)

First, calculate the pooled standard deviation (sp) using the formula:

\(\[ sp = \sqrt{\frac{((n_1-1) \cdot s_1^2 + (n_2-1) \cdot s_2^2)}{(n_1 + n_2 - 2)}} \]\)

\(\[ sp = \sqrt{\frac{((7-1)\cdot(5.04)^2 + (7-1)\cdot(5.36)^2)}{(7 + 7 - 2)}} \]\)

   \(= \[ \sqrt{\frac{6 \cdot 25.4016 + 6 \cdot 28.7296}{12}} \]\)

   \(= \[\sqrt{\frac{304.2072}{12}}\]\)

   \(=\sqrt{25.3506}\)

   ≈ 5.03

Next, calculate the standard error (SE) using the formula:

\(\[SE = \sqrt{\left(\frac{{s_1^2}}{{n_1}}\right) + \left(\frac{{s_2^2}}{{n_2}}\right)}\]\)

\(\[\begin{aligned}\text{SE} &= \sqrt{\left(\frac{5.04^2}{7}\right) + \left(\frac{5.36^2}{7}\right)} \\&= \sqrt{\frac{25.4016}{7} + \frac{28.7296}{7}} \\&= \sqrt{3.6288 + 4.1042} \\&= \sqrt{7.733}\end{aligned}\]\)

      ≈ 2.78

The critical value (t) for a 95% confidence interval with (n1 + n2 - 2) degrees of freedom is approximately 2.4469 (obtained from the t-distribution table or calculator).

Now, substitute the values into the formula to calculate the confidence interval (CI):

CI = (x1 - x2) ± t * SE

  = (113.6 - 129.6) ± 2.4469 * 2.78

  = -16 ± 6.797

Finally, the 95% confidence interval for the difference between true average stopping distances is approximately (-22.80, -9.20).

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Answer:

Step-by-step explanation:

sean

6,480 more square feet of space than before make up the increased space.

The original area of the village lot is:

120 feet × 180 feet = 21,600 square feet

To calculate the new area, we need to first find the new length of the lot.

Increasing the length by 30% means adding 30% of the original length to the original length:

30% × 180 feet = 54 feet

So the new length will be:

180 feet + 54 feet = 234 feet

The new area of the lot will be:

120 feet × 234 feet = 28,080 square feet

The difference between the new area and the original area is:

28,080 square feet - 21,600 square feet = 6,480 square feet

Therefore, the new area is 6,480 square feet greater than the original area.

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The probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

To determine the probability that the other child is also a girl given that one of them is a girl, we need to consider the possibilities of the gender combinations for Alice's two children.

Let's denote the gender of the first child as G (girl) and B (boy), and the gender of the second child as G' and B'.

There are four possible combinations for the gender of the two children: GG, GB, BG, and BB.

However, we are given that one of the children is a girl. This eliminates the BB combination since we know both children cannot be boys.

Thus, we are left with three possible combinations: GG, GB, and BG.

Out of these three combinations, two of them involve at least one girl: GG and GB. This means there is a 2 out of 3 chance that the other child is a girl.

Therefore, the probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

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Asymptotes are lines that a curve approaches but does not intersect. A curve may have vertical, horizontal, or slant asymptotes or none at all. Asymptotes are critical features of the curve since they are used to help graph the function.

We will use the following steps to find asymptotes of the function h(x) = 4 + (5/x):

Vertical Asymptotes:Vertical asymptotes occur when the denominator is equal to zero. So for the function

h(x) = 4 + (5/x), the denominator x cannot be equal to 0.

Therefore x = 0 is the equation of the vertical asymptote.Horizontal Asymptotes:

Horizontal asymptotes occur when the value of y approaches a constant as x becomes extremely large.

For the function h(x) = 4 + (5/x), we need to take the limit as x approaches infinity and as x approaches negative infinity respectively.

(i) As x approaches infinity,y = 4 + 0= 4(ii) As x approaches negative infinity,y = 4 + 0= 4.

Therefore, the equation of the horizontal asymptote is y = 4.

Finally, the vertical asymptote equation is x = 0, and the horizontal asymptote equation is y = 4 for the function h(x) = 4 + (5/x).

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Answer: 210 tickets

Explanation:

1. Multiply the number of tickets he sold on Monday (21) by 3. (21x3=63)

2. Multiply the number of tickets he sold on Tuesday (63) by 2. (63x2=126)

3. Add all of those together to get the answer. (21+63+126=210)

Answer:

5 by 4

Step-by-step explanation:

sleepy haha sleepy sleepyy

Answer:

THe answer 5 by 4

Step-by-step explanation:

:)

Answer: 12.5

Step-by-step explanation:

25th Percentile: 5.5

50th Percentile: 13

75th Percentile: 18

Interquartile Range: 12.5

I got you bro!

Answer:

{x,y} = {4-1}

You might be wondering how I got this, well here are the steps:

System of Linear Equations entered :

  [1]    2x + y = 7

  [2]    x - 2y = 6

Graphic Representation of the Equations :

   y + 2x = 7        -2y + x = 6  

Solve by Substitution :

// Solve equation [2] for the variable  x  

 [2]    x = 2y + 6

// Plug this in for variable  x  in equation [1]

  [1]    2•(2y+6) + y = 7

  [1]    5y = -5

// Solve equation [1] for the variable  y  

  [1]    5y = - 5

  [1]    y = - 1

// By now we know this much :

   x = 2y+6

   y = -1

// Use the  y  value to solve for  x  

   x = 2(-1)+6 = 4

Solution :

{x,y} = {4,-1}

I hope this has helped you and have a wonderful day!

Answer:

\(x^{2} -pqx+pq\)

Step-by-step explanation:

Answer: Expression that is to be deducted will be (6x + 3).

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The measurement which is closest to the  height of this cylinder is: C. 48 in.

Given the following data:

To determine the measurement which is closest to the  height of this cylinder in inches:

Mathematically, the volume of a cylinder is given by the formula:

\(Volume = \pi r^2h\)

Where:

Substituting the given parameters into the formula, we have;

\(8478 = 15^2h\\\\8478 = 225h\\\\h=\frac{8478}{225}\)

Height, h = 37.38 inches.

Closest height = 48 inches.

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A dictionary with keys 'normalize' and 'alpha' and values [True, False] and [1, 10, 100] respectively can be used to perform a grid search.

Grid search is a technique used to find the optimal hyperparameters for a machine learning model. In the case of determining if normalization should be used and testing different values of alpha, we need to provide the algorithm with a range of values for each hyperparameter. This can be done using a dictionary.

The keys in the dictionary would be 'normalize' and 'alpha', representing the hyperparameters we want to search for. The values for 'normalize' would be [True, False], representing the options for normalizing the data or not. The values for 'alpha' would be [1, 10, 100], representing the different values of alpha to test.

This dictionary can then be passed as an argument to the grid search algorithm, which will then perform a search through all possible combinations of these hyperparameters, evaluating the performance of the model for each combination and determining the optimal set of hyperparameters.

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Gabe or Gabriel is a new child in the novel, "The Giver" and was described as a symbol of hope and new beginnings.

As a new child, Gabe is not yet fully indoctrinated into the rules and customs of the community, making him more open to the memories transmitted by Jonas.

This presentation of Gabe's character aligns with the novel's recurring motif of babies symbolizing hope and regeneration in literature.

The novel "The Giver" was authored by Lois Lowry. It is set in a futuristic society that has eliminated all pain, fear, war, and hatred and appears to be utopian at first glance.

The story is written from the point of view of Jonas, an eleven-year-old boy, selected to be the new Receiver of Memory.

Through training, Jonas learns about the joys and pains of life and becomes increasingly disillusioned with the society he lives in.

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Answer: 0.00330033003

Answer:

C

Step-by-step explanation:

it is rise over run which means rise 1 over run 4

so the answer is 1/4

Answer:

SSS could be used for equilateral triangles, AAA is impossible, Cannot be determined is easily not an option.

This leaves ASA and SAS

An isoscoles triangle is a triangle that has two equal sides. SAS is an abreviation that says two triangles have 2 equal sides. Therefore, number 4 SAS is correct

Step-by-step explanation:

The median of the legs of a triangle joins the vertex to the midpoint of the opposite side of the triangle.

The correct postulate is (d) SAS

An isosceles triangle has two congruent sides and angles.

This means that, postulates AAA and SSS are not possible.

This is so, because both postulates imply that the sides and angles of the triangles are congruent.

See attachment for illustration of the median of the isosceles triangles.

From the attachment, we have the following observations.

These mean that:

The triangles are congruent by SAS postulate.

Hence, the correct postulate is (d) SAS

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Answer:your answer is B.) 165 in3

The common factor of 12y and 30 is 6

Answer:

\(y=\frac{1}{2} x+10\)

Step-by-step explanation:

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

Add \(\frac{1}{2} x\) to both sides

\(y=10+\frac{1}{2} x\\\\y=\frac{1}{2} x+10\)

The linear equation that shows a proportional relationship is y equals two thirds times x.

A proportional relationship is a relationship between two variables in which one variable is a constant multiple of the other. In other words, if y is directly proportional to x, then y = kx for some constant k. This can also be written as y/x = k, where k is the constant of proportionality.

The linear equation that shows a proportional relationship is y = 2/3x.

It shows a direct relationship because the coefficient of x (2/3) is constant, and there is no constant term (y-intercept) which breaks the proportionality.

The other equations do not show a proportional relationship because they have a coefficient that varies with x or a constant term.

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\(1.4 = 1 \frac{3}{5} \)

\(1.4 = 1 \frac{3}{5}\)

Convert the expression

\( \frac{7}{5} = \frac{1}{7} \\ \frac{}{2} \)

Simplify the expression

\( \frac{7}{5} = \frac{2}{7} \)

Cross-Multiply

\(49 = 10\)

Check the equality

\(false\)

Hey there!

1.4 = l/3.5

L/3.5 = 1.4

MULTIPLY 3.5 to BOTH SIDES

l/3.5 * 3.5 = 1.4 * 3.5

WORK IT OUT!

NEW EQUATION: l = 1.4 * 3.5

SIMPLIFY IT!

l = 4.9

Therefore, your answer should be: l = 4.9

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

well what is the question??

Elijah's estimate had a 3% greater error than Angel's, which is a -3% reduction.

The complete question is :

Elijah estimates that 54 students will be at the school dance. Angel estimates that 45 students will be. There are actually 48 students at the dance. How much less is the percent error in Angel's estimate than in Elijah's estimate?

-12.5% less

-6.25% less

-3% less

-65 less

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Answer:

Step-by-step explanation: