I need help with my math

Answer:$67.10

Step-by-step explanation:

Using the first statement we can generate the equation c= 0.18m + 10.4  where c is the cost and m is the number of minutes. So if you make 315 minutes of call then input  that for m and solve for c.

c= 0.18(315) + 10.4

c= 67.10  

Answer:

a = 5

Step-by-step explanation:

\( a - \frac{2a}{5} = 3 \\ 5a - 2a = 15 \\ 3a = 15 \\ a = 5\)

We multiply both sides by 5 before solving for a.

Answer: 72

Because the picture shows that there's a 90 degree angle in the bottom. We know that the bottom triangle is a 45-45-90 triangle. So the length of one side   is 18 because a 45 45 90 triangle has two sides that are equivalent (x) and one side that is x\(\sqrt{2} \\). So now that we know the length of one side is 18, we know the lengths of all 4 sides. Adding them up ( 18 + 18 + 18 + 18) gives 72, which is the perimeter.

Answer:

=)

Step-by-step explanation:

Answer:

Did u ever find the answer

Step-by-step explanation:

and if u didn't just tell me

Answer:

8

Step-by-step explanation:

7h=56

h=56/7

h =8

you can do it on calculator to make sure of the answer

Answer:

£90

Step-by-step explanation:

Ivan = \(\frac{4}{5}\) * 150

       =  £120

Tanya = \(\frac{1}{5}\) * 150

          =  £30

£120 -  £30 =  £90

Ivan get  £90 more than Tanya

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

Q (2,4) and R (-3,9)

The distance between them is

\( |QR| = \sqrt{ ({2 + 3})^{2} + ( {4 - 9})^{2} } \\ = \sqrt{ {5}^{2} + ( { - 5})^{2} } \\ = \sqrt{25 + 25} \\ = \sqrt{50} \\ = 5 \sqrt{2} \\ = 7.0710678...\)

We have the final answer as

Hope this helps you

Answer:

To find the mean and median of the given data, we first need to arrange the data in order:

$36, 37, 41, 43, 44, 70$

Without the outlier, the data becomes:

$36, 37, 41, 43, 44$

To find the mean, we add up all the data points and divide by the total number of data points:

Mean = $(36 + 37 + 41 + 43 + 44 + 70)/6 \approx 45.17$

Without the outlier, the mean becomes:

Mean = $(36 + 37 + 41 + 43 + 44)/5 \approx 40.2$

To find the median, we need to find the middle value of the data. Since we have an even number of data points, we take the average of the two middle values:

Median = $(41 + 43)/2 = 42$

Without the outlier, the median becomes:

Median = $(36 + 37 + 41 + 43 + 44)/5 = 41$

Comparing the mean and median, we can see that the outlier has a significant effect on the mean, pulling it up to $45.17$. The median, on the other hand, is less affected by outliers and remains close to the center of the data. Therefore, the median is a better measure of the center in this case.

Answer:

C

Step-by-step explanation:

Since its a 5, you round up. if it is 5 or above, you round the number upwards, when 4 or below, is downwards.

Answer:

C.8.5

Step-by-step explanation:

Step-by-step explanation:

5y = ZW - ZC

5y = Z(W - C)

5y / W- C = Z(W -C) / W - C

Z = 5y / W - C

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

Step-by-step explanation:

Given the differential equation dy/dx = 5y/x subject to the condition y = 4 and x = 1. Using the variable separable method of solving differential equation, we will have;

dy/dx = 5y/x

Separate the variables

dy/5y = dx/x

Integrate both sides of the expression

\(\frac{1}{5}\int\limits \frac{1}{y} \, dy = \int\limits \frac{dx}{x} \\ \\\frac{1}{5}lny = lnx + C\\\\lny = 5lnx+5C\\\)

using the initial condition y = 4 while x = 1

ln4 = 5ln1 + 5C

ln4 = 0+5C

C = ln4/5

Substituting the value of C back into the expression;

\(lny = 5 lnx+5(ln4/5)\\lny = 5lnx+ln4\\lny = lnx^5+ln4\\lny = ln(4x^5)\\y = 4x^5\)

Hence the solution to the differential equation is y = 4x⁵

b) Given 4(du/dt) = u²

du/dt = u²/4

du/ u² = dt/4

u⁻²du = 1/4 dt

integrate both sides of the equation

\(\int\limit {u^{-2}} \, du = \int\limits\frac{1}{4} \, dt\\\\\frac{u^{-1}}{-1} = \frac{t}{4} + C\\\\\frac{-1}{u} = \frac{t}{4} + C\)

Imputing the initial condition u(0) = 7 i.e when t = 0, u = 7

\(\frac{-1}{7} = \frac{0}{4} + C\\\\\frac{-1}{7} = C\\\)

\(\frac{-1}{u} = \frac{t}{4} - \frac{1}{7}\)

Hence the solution to the DE is \(\frac{-1}{u} = \frac{t}{4} - \frac{1}{7}\)

Answer:

a

 \(\frac{\alpha }{2} = 2.5 \%\)

b

  \(N = 25\)

Step-by-step explanation:

From the question we are told that

   The number of bootstrap samples is  n =  1000

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as

      \(\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%\)

=>    \(\frac{\alpha }{2} = 2.5 \%\)

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

      \(N = 1000 * \frac{\alpha }{2}\)

=>   \(N = 1000 * 0.025\)

=>   \(N = 25\)

Answer:

Step-by-step explanation:

Hey

The probability of getting at least 6 heads is3/256 or 0.0117

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.

Given that,

A fair coin is tossed = 8 time.

We have to find the probability of getting at least 6 heads.

Since, the probability of getting head, when one coin is tossed = 1/2

And the probability of getting tale = 1/2  

The probability of getting head at least  6 times when coin is tossed 8 times can be given as,

The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) =  (1/2)⁸

The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸

The head can come 8 times, then probability = (1/2)⁸

The probability of getting head at least 6 times

= (1/2)⁸ + (1/2)⁸ +  (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117

The probability of getting at least 6 heads is3/256 or 0.0117

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Answer:

Cla's Solution is Correct

Step-by-step explanation:

It is correct because when using order of operations, we first solve the modulus then start solving the remaining problem

Answer:

Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.

9514 1404 393

Answer:

  4

Step-by-step explanation:

We assume you're asking the difference between the digits of a two-digit number such that reversing the digits makes the value different by 36.

The difference between the digits is 36/9 = 4.

__

The value difference is always 9 times the digit difference.

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Answer:

the answer is 4

Step-by-step explanation:

:)))))))

Answer:

16/15

Step-by-step explanation:

The LCM of 5 and 3 is 15

4/5 + 1/3 = 12 / 15 + 4 / 15 = 16 / 15

Answer:1.13333333333 also known as 1.13 repeat

Step-by-step explanation:

Answer:

The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Step-by-step explanation:

If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:

70 degrees and its corresponding angle (also 70 degrees)

x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)

Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:

x = 70 degrees

y = 180 - x = 180 - 70 = 110 degrees

To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:

z + 70 + 70 + 110 = 360

z + 250 = 360

z = 110 degrees

Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Answer:

Step-by-step explanation:

[x]=8

x=8

x=-8

Answer:

1st : 8

2nd: 8

3rd: equal to

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

The remainder of the polynomial when divided by x + 2 is -60.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

2\(x^{4}\) - 4x³ - 11x² + 3x - 6 divide by x + 2.

Now,

x + 3 ) 2\(x^{4}\) - 4x³ - 11x² + 3x - 6 ( 2x³ - 2x² - 5x + 18

          2\(x^{4}\) + 6x³

      (-)       (-)                            

                  -2x³ - 11x² + 3x - 6

                  -2x³ - 6x²

              (+)        (+)                  

                           - 5x² + 3x - 6

                          -5x²  - 15x      

                        (+)        (+)

                                      18x - 6                      

                                      18x + 54

                                    (-)      (-)    

                                               -60

We see that,

The remainder is -60.

f(-2) = 2\(x^{4}\) - 4x³ - 11x² + 3x - 6

f(-2) = 2 x 16 + 32 - 44 - 6 - 6 = 32 + 32 - 44 - 12 = 64 - 56 = 8

Thus,

The remainder of the polynomial when divided by x + 2 is -60.

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The value of the variable "x" is 11.

We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".

The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.

∠LMK + ∠LMN = 180°

∠LMK + (7x + 5)° = 180°

∠LMK = 180° - (7x + 5)°

In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠K + ∠L + ∠M = 180°

(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°

3x +19 + 2x + 8 + 180 - 7x - 5 = 180

-2x + 22 = 0

2x = 22

x = 11

Hence, the value of the variable "x" is 11.

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Answer:

See below.

Step-by-step explanation:

Ratio 1: 1 : 11.

Ratio 2: 2 : 20 (Simplified as 2 : 2).

Ratio 3: 3 : 29.

Ratio 4: 4 38.

Answer:

20

Step-by-step explanation:

85% of x = 17

\(\frac{85}{100}*x = 17\\\\ x = 17*\frac{100}{85}\\\\x = \frac{100}{5}\\\\x = 20\)