What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?

Answer:

The upper confidence bound for population mean escape time is: 379.27

The upper prediction bound for the escape time of a single additional worker  is 413.64

Step-by-step explanation:

Given that :

sample size n = 26

sample mean \(\bar x\) =  371.08

standard deviation \(\sigma\) = 24.45

The objective is to calculate an upper confidence bound for population mean escape time using a confidence level of 95%

We need to determine the standard error of these given data first;

So,

Standard Error S.E = \(\dfrac{\sigma }{\sqrt{n}}\)

Standard Error S.E = \(\dfrac{24.45 }{\sqrt{26}}\)

Standard Error S.E = \(\dfrac{24.45 }{4.898979486}\)

Standard Error S.E = 4.7950

However;

Degree of freedom df= n - 1

Degree of freedom df= 26 - 1

Degree of freedom df= 25

At confidence level of 95% and Degree of freedom df of  25 ;

t-value = 1.7080

Similarly;

The Margin of error = t-value × S.E

The Margin of error = 1.7080 × 4.7950

The Margin of error = 8.18986

The upper confidence bound for population mean escape time is = Sample Mean + Margin   of  Error

The upper confidence bound for population mean escape time is =  371.08 +  8.18986

The upper confidence bound for population mean escape time is = 379.26986  \(\approx\) 379.27

The upper confidence bound for population mean escape time is: 379.27

b.  Calculate an upper prediction bound for the escape time of a single additional worker using a prediction level of 95%.

The standard error of the mean = \(\sigma \times \sqrt{1+ \dfrac{1}{n}}\)

The standard error of the mean = \(24.45 \times \sqrt{1+ \dfrac{1}{26}}\)

The standard error of the mean = \(24.45 \times \sqrt{1+0.03846153846}\)

The standard error of the mean = \(24.45 \times \sqrt{1.03846153846}\)

The standard error of the mean = \(24.45 \times 1.019049331\)

The standard error of the mean = 24.91575614

Recall that : At confidence level of 95% and Degree of freedom df of  25 ;

t-value = 1.7080

∴

The Margin of error = t-value × S.E

The Margin of error = 1.7080 × 24.91575614

The Margin of error = 42.55611149

The upper prediction bound for the escape time of a single additional worker  is calculate by the addition of

Sample Mean + Margin of Error

= 371.08 + 42.55611149

= 413.6361115

\(\approx\) 413.64

The upper prediction bound for the escape time of a single additional worker  is 413.64

Answer:

the answer is A

Step-by-step explanation: i have calculated this problom

The graph of the linear inequality is given by the image presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The function for this problem is given as follows:

y = -3x/4 + 2.

Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.

The inequality is given as follows:

y < -3x/4 + 2.

Meaning that points below the dashed line are the solution to the inequality.

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The inequality relation  -q > -7  can be represented in the form of q as q < 7

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

The value of A is - q > - 7

Now , multiplying by (-1) on both sides of the equation , we get

( -1 ) ( -q ) > ( -1 ) ( - 7 )

The inequality relation will change the sign from > to < and ,

q < 7

So , the value of the inequality relation A is q < 7

Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

Hence , The inequality relation  -q > -7  can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

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Answer:

The test statistic for the hypothesis test is -1.202.

Step-by-step explanation:

We are given that a report on the nightly news broadcast stated that 10 out of 129 households with pet dogs were burglarized and 23 out of 197 without pet dogs were burglarized.

Let \(p_1\) = population proportion of households with pet dogs who were burglarized.

\(p_2\) = population proportion of households without pet dogs who were burglarized.

SO, Null Hypothesis, \(H_0\) : \(p_1=p_2\)     {means that both population proportions are equal}

Alternate Hypothesis, \(H_A\) : \(p_1\neq p_2\)     {means that both population proportions are not equal}

The test statistics that would be used here Two-sample z-test for proportions;

                           T.S. =  \(\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }\)  ~ N(0,1)

where, \(\hat p_1\) = sample proportion of households with pet dogs who were burglarized = \(\frac{10}{129}\) = 0.08

\(\hat p_2\) = sample proportion of households without pet dogs who were burglarized = \(\frac{23}{197}\) = 0.12

\(n_1\) = sample of households with pet dogs = 129

\(n_2\) = sample of households without pet dogs = 197

So, the test statistics  =  \(\frac{(0.08-0.12)-(0)}{\sqrt{\frac{0.08(1-0.08)}{129}+\frac{0.12(1-0.12)}{197} } }\) 

                                     =  -1.202

The value of z test statistics is -1.202.

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

=============================================

Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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It will cοst $13,200 tο have 1,100 square feet οf rοοfing installed at this rate.

Having fοur equal sides, a square is a quadrilateral. There are numerοus square-shaped οbjects in οur immediate envirοnment. Each square fοrm may be recοgnised by its equal sides and 90° inner angles. A square is a clοsed fοrm with fοur equal sides and interiοr angles that are bοth 90 degrees. Numerοus different qualities can be fοund in a square.

If a cοntractοr charges $1,200 fοr 100 square feet οf rοοfing installed, then the cοst per square fοοt is:

$1,200 / 100 square feet = $12 per square fοοt

Tο find the cοst οf installing 1,100 square feet οf rοοfing, we can multiply the cοst per square fοοt by the number οf square feet:

cοst = $12/square fοοt x 1,100 square feet

cοst = $13,200

Therefοre, it will cοst $13,200 tο have 1,100 square feet οf rοοfing installed at this rate.

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Answer:

-1 or 7

Step-by-step explanation:

brainliest plss

Answer: A) 2 and a half B) 5 pints

Step-by-step explanation:

in 1 cup there are 16 table spoons.

a) 4tbsp (2 servings) times 10 (to reach 20 servings) =40 tbsp

40/16 =2.5

ANSWER A= 2 and a half cups of lemon juice.

in 1 pint there are 2 cups.

b)

1 cup = 1/2 a pint,

1/2 pint (2 servings) times 10 (to reach 20 servings) = 5 pints

ANSWER B= 5 pints of olive oil

Answer:

300 glass beads

Step-by-step explanation:

There are 30 beads in each box so you multiply 30 by 10.

\(10*30=300\)

The logistic model of the projected magazine sales is P = e¹⁰⁰⁰/1+e¹⁰⁰⁰

What is meant by logistic model?

In math, logistic model refers a statistical analysis method to predict a binary outcome, such as yes or no, based on prior observations of a data set.

Here we have given that our new magazine initially sells 400 copies per month. research indicates that a vigorous advertising campaign could increase sales by 30% each month if our market were unlimited. but research also indicates that magazine sales in our area are unlikely to exceed 2000 per month.

Here we need to make a logistic model of projected magazine sales.

As per the formula of logistic model, while we looking into the given question, we identified the values,

a = 400

x = 30% => 0.3

b = 2000

Then the logistic model of the given situation is written as,

=> P = e⁴⁰⁰⁺⁰°³ˣ²⁰⁰⁰/ 1 +  e⁴⁰⁰⁺⁰°³ˣ²⁰⁰⁰

=> P = e¹⁰⁰⁰/1+e¹⁰⁰⁰

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Answer:

The answer is 7^15/7^14

Step-by-step explanation:

Multiplying powers of the same base we keep one base and add the exponents

\( \frac{7 {}^{8 + 3 + 4} }{7 {}^{9 + 5} } \\ \frac{ {7}^{15} }{ {7}^{14} } \)

Now Dividing powers of the same base we keep one base and subtract the exponents

\( = {7}^{15 - 14} \\ = {7}^{1} \)

simple 7

The probability will last longer than 2 years will be 3.3%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

First let us calculate the z score using the formula:

\(z = \dfrac{(x- \mu)} { s}\)

where x = 2, u is the mean = 3.1 years, and s is the standard deviation

\(z =\dfrac{ (2 - 3.1) }{ 0.6}\)

z = -1.83

From the standard probability tables, the p-value at z = -1.83 is:

P = 0.033 = 3.3%

Therefore the probability that will last longer than 2 years will be 3.3%.

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Answer:

\(x = 2\\ \\x= -\dfrac 78\)

Step-by-step explanation:

\(~~~~~~~8x^2 -9x -14=0\\\\\implies 8x^2+7x-16x-14=0\\\\\implies x(8x+7)-2(8x+7)=0\\\\\implies (x-2)(8x+7) = 0\\\\\implies x = 2,~ x= -\dfrac 78\)

Answer:

45 million?

Step-by-step explanation:

hope this helps

The factoring of the quadratic function as a product of two binomials is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

The quadratic function for this problem is given as follows:

x² + 10x + 24.

To factor the quadratic function as a product of the two binomials, we must obtain it's roots, that is, solve:

x² + 10x + 24 = 0.

The coefficients of the quadratic function are given as follows:

a = 1, b = 10, c = 24.

Hence the discriminant is of:

D = 10² - 4 x 1 x 24 = 4.

The first root of the quadratic function is given as follows:

x = (-10 - square root of (4))/2 = -6.

The second root of the quadratic function is given as follows:

x = (-10 + square root of (4))/2 = -4.

Hence, using the Factor Theorem, the binomial product is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

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Step-by-step explanation:

slope formula when it's perpendicular : m1 × m = -1

Now Differentiate the quadratic function given.

d/dx ( x^2 - x + 1 ) at an x value of -1 from the point "(-1 , 3 )"

= 2x - 1 .... plug in the x value

= 2 × -1 - 1 = -3.

Use this equation...

y - y1 = m(x - x1)

m = slope = derivative at x = -1

y1 = value found by subbing -1 into the original function

x1 = the x value often given.

y - 3 = 1/3 (x + 1)

= 1/3x + 1/3 + 3

y = 1/3x + 10/3.

not sure about this one - it probably intersects at the x & y intercepts of the equation of the normal line.

y = 0 + 10/3 = 10/3

1/3x = 0 - 10/3

x = -10/3 / 1/3 = -10

so the point .... (-10 , 10/3)

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

b = 3

Step-by-step explanation:

15 - b = 12

-15        -15

-b = -3

b = 3

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

b=3

Step-by-step explanation:

15-b=12

-b=12-15

-b=-3 divide both sides by -1

b=3

Answer:

a.) y = x - 3

b.)  y = 4x - 12

c.) y = x - 3

Step-by-step explanation:

the answers for a and c are the same, im not sure if they're supposed to be, but that's what its asking

hope this helps :)

Answer:

1. it has line symmetry

2.has rotational symmetry

3. has line symmetry

Step-by-step explanation:

Answer:

1. rotational 2. no symmetry 3. Line symmetry

Step-by-step explanation:

Answer:

  c)  x = 6, y = 9

Step-by-step explanation:

The figure is a parallelogram. The diagonals of a parallelogram bisect each other, so each part of a given diagonal is equal to the other part.

  3x = 2y

  2x = y+3

__

Solving the second equation for y, we have ...

  y = 2x -3

Substituting into the first equation gives ...

  3x = 2(2x -3)

  3x = 4x -6 . . . . simplify

  6 = x . . . . . . . . .add 6 -3x

  y = 2(6) -3 = 9 . . . . use the above expression for y

The values of x and y are (x, y) = (6, 9).

Answer:5 8

Step-by-step explanation:left 2 up 3

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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Answer:

Step-by-step explanation: