What is the probability that client C, the 25-year-old you’re considering for a 30-year policy, lives to be 55 years old? Remember that client C is a Hispanic male.

Answer:

From the question we are told to test if the difference in the sample proportions statistically significant and given that the sample size is sufficiently large i.e  \(n_ 1 \ and \ n_2 \ is \ > \ 30\) then the most appropriate test to use is  the

          Two samples z test

Step-by-step explanation:

Answer:

57°

Step-by-step explanation:

The sum of both angles is 90°

3x+5x+2=90

8x+2=90

8x=88

x=11

Plug x into the equation

Larger Angle

5(11)+2=57

Smaller Angle

3(11)=33

Answer:

$58.80

Step-by-step explanation:

The subtotal is $56.

56*1.05=$58.80.

The word that best describes line segment ID in the image given showing a circle is: a chord.

A chord can simply be described as a line segment in a circle that connects two points on the circumference of a circle to each other.

The largest chord in a circle is a the diameter. A circle can have as many chords as possible.

Considering the image given above, ID is a line segment which connects points I and D which are on the circumference of the circle together. Therefore, ID can best be described as a chord.

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Answer:

x=107

Step-by-step explanation:

The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

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

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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Answer:

2/6

Step-by-step explanation:

15 isn't a decimal number

11/25=0.44 not recurring (not repeating)

3/20=0.15 not recurring (not repeating)

2/6=0.333333 recurring

so the answer is D

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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I hope this helps you. Plz mark me as the brainliest.

Answer:

C. (4, -6)

Hope it helps :)

Answer:

angles of triangle adds up to 180 degrees

The equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

The equation of a circle with center (a,b) and radius r is given by the equation:

(x - a)^2 + (y - b)^2 = r^2

Using the given values, the equation of the circle with center (1/2, 0) and radius 2 is:

(x - 1/2)^2 + (y - 0)^2 = 2^2

Expanding and simplifying, we get:

(x - 1/2)^2 + y^2 = 4 - 1/4

Therefore, the equation of the circle is:

(x - 1/2)^2 + y^2 = 15/4

So, the equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

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The range of a graph of a function is (-∞, 3) U (3, ∞) option (D) (-∞, 3) U (3, ∞) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The graph of a hyperbola function is given.

As we know the graph of an inverse of a function is reflections over the line y=x.

We get the same graph as given in the picture.

The range of a graph of a function:

Range: (-∞, 3) U (3, ∞)

Thus, the range of a graph of a function is (-∞, 3) U (3, ∞) option (D) (-∞, 3) U (3, ∞) is correct.

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Based on the information given about the combination, the number of different parts of fruits that can be selected from the bowl will be 6.

Since the bowl contains an apple, a plum, a pear, and a banana, the different pairs of fruit that can be selected from the bowl will be 4C2.

We can solve this further which will be:

= 4C2

= 4! /2! (4 - 2)!

= 4! / 2!2!

= (4 × 3 × 2)/ 2 × 2

= 24/4

= 6

Therefore, 6 different pairs of fruit can be selected.

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Answer:

-12

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a linear function (a line), meaning it can be modeled in the form y=mx+b.

Taking two points that lie on the line, say (-1, 2) and (3, -1),

m=(-1-2)/(3-(-1))=-3/4.

So we have y=(-3/4)x+b.

Substituting in the point (-1, 2), we get that 2=(-3/4)(-1)+b

2 = 3/4 + b
b = 5/4

Therefore, y=(-3/4)x + 5/4.

Using rules for exponents, we will see that the quotient is:

\(0.5x^{5 - 3} + 2x^{3 - 3} - x^{1 - 3} = 0.5x^2 + 2 - x^{-2}\)

Remember the rule for dividing with exponents:

\(\frac{x^n}{x^m} = x^{n - m}\)

Here we have the quotient:

\(\frac{2x^5 + 8x^3 - 4x}{4x^3}\)

Expanding that we will get:

\(\frac{2x^5 + 8x^3 - 4x}{4x^3} = \frac{2x^5 }{4x^3} + \frac{8x^3}{4x^3} +\frac{ - 4x}{4x^3}\)

Now wecan simplify each one of these quotients to get:

\(\frac{2x^5 }{4x^3} + \frac{8x^3}{4x^3} +\frac{ - 4x}{4x^3} = 0.5x^{5 - 3} + 2x^{3 - 3} - x^{1 - 3} = 0.5x^2 + 2 - x^{-2}\)

That is the outcome of the quotient.

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5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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Answer:

60

Step-by-step explanation:

Form on number to the other there is a difference,and the difference are all odd numbers

From 100 to 93 is 7

From 98 to 84 is 9

From 84 to 73 is 11

From 73 to 45 is 28 this shows that there is a number missing

So from 73 to x should be 13

And from x to 45 should be 15

So 73 -13=60

And 60-15=45

So x is 60

The missing number in the sequence is 60

Given the sequence 100, 93, 84, 73, ... 45​

To get the next term, we need to get the common differences as shown:

To get the missing value, we will subtract 13 from 73.

Missing number  = 73 - 13

Missing number = 60

Hence the missing number in the sequence is 60

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Kristen have 8 cups more than Chris.

We will use unitary method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Kristen has 8 gallons of water. Chris has 28 quarts of water.

We need to convert gallons and quarts to cups and subtract the values

1 gallon = 16 cups

7 gallons = 7 x 16 = 112 cups

1 quart = 4 cups

Therefore,

26 quarts = 26 x 4 = 104 cups

112 - 104 = 8 cups

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer and Explanation:

First, we can find the factored areas of the circle (the non-shaded area) and the rectangle (which includes the shaded and non-shaded areas).

We can use the rule:

if \(x^2 + cx + d = (x + a)(x + b)\), then \(c = a + b\) and \(d = a \cdot b\).

__

\(A_\circ = \dfrac{x+1}{x^2 + 6x + 8}\)

\(\boxed{A_\circ = \dfrac{x+1}{(x + 2)(x + 4)}}\)

__

\(A_\square = \dfrac{x+1}{x^2 - 6x -16}\)

\(\boxed{A_\square = \dfrac{x+1}{(x+2)(x-8)}}\)

Since we want to subtract the area of the circle from the area of the rectangle, we need them to have a common denominator.

We can achieve this by multiplying the area of the circle by \(\dfrac{(x-8)}{(x-8)}\) and the area of the rectangle by \(\dfrac{(x+4)}{(x+4)}\) because then both fractions will have the denominator \((x+2)(x+4)(x-8)\).

\(A_\circ = \dfrac{(x+1)(x-8)}{(x + 2)(x + 4)(x-8)}\)

\(A_\square = \dfrac{(x+1)(x+4)}{(x+2)(x-8)(x+4)}\)

Now that they have a common denominator, we can subtract them to get the area of the shaded region.

\(A_\text{shaded} = A_\square - A_\circ\)

\(A_\text{shaded} = \left(\dfrac{(x+1)(x+4)}{(x + 2)(x + 4)(x-8)}\right) - \left(\dfrac{(x+1)(x-8)}{(x+2)(x+4)(x-8)}\right)\)

Now, we can foil out the numerators of each fraction and combining like terms.

\(A_\text{shaded} = \left(\dfrac{x^2 + 5x + 4}{(x + 2)(x + 4)(x-8)}\right) - \left(\dfrac{x^2 - 7x - 8}{(x+2)(x+4)(x-8)}\right)\)

↓ rewriting as one fraction ... \(\dfrac{x}{y} - \dfrac{z}{y} = \dfrac{x-z}{y}\)

\(A_\text{shaded} = \dfrac{ (x^2 + 5x + 4) - (x^2 - 7x - 8)}{(x + 2)(x + 4)(x-8)}\)

↓ distributing the negative

\(A_\text{shaded} = \dfrac{x^2 + 5x + 4 - x^2 + 7x + 8}{(x + 2)(x + 4)(x-8)}\)

↓ grouping like terms

\(A_\text{shaded} = \dfrac{(x^2 - x^2) + (5x + 7x) + (4 + 8)}{(x + 2)(x + 4)(x-8)}\)

↓ combining like terms

\(\boxed{A_\text{shaded} = \dfrac{12x + 12}{(x + 2)(x + 4)(x-8)}}\)

The graph of y = x^2 should be translated by 1 unit to the right and 3 units up.

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

Therefore, we have the following:

f(x) = x^2

g(x) = f(x - 1) + N

g(x) = (x - 1)^2 + 3

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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\(\\ \sf\longmapsto AP:PB\)

\(\\ \sf\longmapsto AP:AB\)

Therefore , the solution of the given problem of expression comes out to be its final simplification is 5ln4y - 2lnx.

There is a need for mathematical operations such addition, multiplication, multiplication, and division. When variable combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact is composed of values, parameters, plus operations like additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.

Here,

Given :

To expand the given expression :

=> ln [ (4y)⁵/ x² ]  

=> ln [ (4y)⁵/ x² ]  

=> ln(4y)⁵ - lnx²

=> 5ln4y - 2lnx

Thus,

its final simplification is : 5ln4y - 2lnx.

Therefore , the solution of the given problem of expression comes out to be its final simplification is 5ln4y - 2lnx.

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