e Suppose a life insurance company sells a $210,000 one-year term life insurance policy to a 25-year-old female for $220. The probability that the female survives the year is 0.999524. Compute and interpret the expected value of this policy to the insurance company

Answer:

\(\boxed{ x = 0 \ \ OR \ \ x = 7}\)

Step-by-step explanation:

\(8x^2 -56 = 0\)

Greatest common factor = 8x

=> \(8x(x-7) = 0\)

Setting results equal to 0

Either:

8x = 0                OR        x-7 = 0

x = 0                 OR           x = 7

Answer:

x= 0 or 7

Step-by-step explanation:

if you factor out the equation by 8, you get 8x(x-7)=0, which if you simplify that, gets you 0 or 7.

The dimensions of the rectangle are, length is 20 cm and the width is 12 cm.

What is an area?

Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Let

The width of the rectangle is x.

As length is 8km longer than than width.

So length = x + 8

The area of the rectangle is 240 sq - km

Since,

   Area of rectangle = length x width

                        240   = (x + 8) x x

                          240 = x^2 + 8x

         x^2 + 8x - 240 = 0

x^2 + 20x - 12x -240 = 0

x(x + 20) - 12(x + 20) = 0

          (x + 20)(x 2 12) = 0

⇒ (x + 20) = 0,     (x - 12) = 0

⇒   x = -20,           x = 12

Since, length is not negative.

So, x = 12

Hence, the width of the rectangle is 12 cm and the length of the rectangle is 12 + 8 = 20 cm.

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the distance is 5 inche

beacuse they cant be to far away from eachoyher

An expression for the number of bracelets of n beads, where rotations.

Whats an expression for the bracelets?

In mathematics, the term "bracelets" can refer to a type of combinatorial object, specifically, a set of beads arranged in a circular pattern. An expression for the number of bracelets of n beads, where rotations and reflections are considered identical, can be given as follows:

B(n) = (1/n) * (2raise to the power (n-1) + Σ(d|n, d<n) μ((n/d)) * 2 raise to the power ((n/d)-1))

Here, B(n) represents the number of distinct bracelets of n beads, Σ denotes the summation, d|n denotes "d divides n", and μ is the Möbius function.

The first term in the expression, (1/n) * (2 raise to the power (n-1)), represents the number of bracelets that are invariant under rotation. The second term takes into account the bracelets that are not invariant under rotation, but are invariant under reflection, and involves the Möbius function.

This expression can be used to calculate the number of bracelets for any value of n, by plugging in the value of n and evaluating the expression.

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Answer: -3 x 3= -9 x -1= 9

Step-by-step explanation: So, you need to times -3 with 3 and you should get -9 then, times -9 with -1 and you get 9.

The solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

The equation is given as:

h(t)) = -16t^2 + 40t + 7

From the question

When h(t) = 0, the values of t are

t = -0.2 and t = 2.7

The t in the function h(t) represents time

As a general rule, time cannot be negative.

This means that the solution t = -0.2 can be eliminated

Hence, the solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

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Answer:

...

Step-by-step explanation:

y=mx+b

y= -7/5x-3

Answer:

y=-7/5x-3

Step-by-step explanation:

The correct explanation for preferring the mean over the median as a measure of center is option 3: The mean is the same as the median for symmetric data.

The mean over the median as a measure of center is that the mean takes into account all values in a data set, making it more representative of the data as a whole. On the other hand, the median only considers the middle value(s), and is less sensitive to outliers. This means that extreme values in a data set have less impact on the median than they do on the mean. However, if the data set is skewed or has outliers that significantly affect the mean, the median may be a better measure of central tendency. In summary, the choice between the mean and the median depends on the characteristics of the data set being analyzed and the research question being asked.
In symmetric data, the mean and median provide the same central value, giving an accurate representation of the data's center. However, it's important to note that the mean is more sensitive to outliers than the median, which might affect its accuracy in skewed data sets.

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Answer:

B 2, 18

E 3, 12

F 4, 9

Step-by-step explanation:

Answer:

7 ish

Step-by-step explanation:

if you look at where 2.5 would be on the X axis (in-between 2 and 3) and you look at the corresponding Y point, its somewhere near where 7 would be.

Answer

The estimated value of \(y\) using graph is \(6.5\) when \(x=2.5\) for the equation \(y=3x-1\).

The linear equation is defined as an equation that has the highest power as one.

We will first plot the graph and then, evaluate the value of the function at the determined point.

We can see from the graph that the approximate value of \(y\) is about \(6.5\) when \(x=2.5\).

We can also verify our answer by putting the value of \(x\) in the given equation.

\(y=3(2.5)-1\\y=7.5-1\\y=6.5\)

Thus, the estimated value of \(y\) is \(6.5\) when \(x=2.5\).

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Given expressions:

  Area of a rectangle  = L W

  Area of a triangle = \(\frac{1}{2} B H\)

Problem;

Create problems using the formula;

Solution:

Problem 1; Find the area of a rectangle whose length is 10cm and the width is half the size of the length?

    Given parameters:

    Length of rectangle  = 10cm

    Width of rectangle  = \(\frac{1}{2}\) x length  = \(\frac{1}{2}\) x 10  = 5cm

So, the area of the rectangle = 10cm x 5cm  = 50cm²

2. A triangle with a base length of 30cm and a height of 2cm will have an area of what?

    Given parameters:

         base length  = 30cm

         height  = 2cm

 Solution:

   Area of a triangle  = \(\frac{1}{2}\) x b x h

   Area of a triangle  = \(\frac{1}{2}\) x 30 x 2  = 30cm²

The area of the triangle will be 30cm²

Step-by-step explanation:

16-9x² must be greater than 0

So 16-9x²>0

We can't solve it like this so we will write it like an equation

16-9x²=0

-9x²=-16

9x²=16

X²=1.77

X= -1.33 and +1.33

We will pulg a number greater than 1.33 and a number between +1.33 and - 1.33

First one (2)

16-9(2)²

It equals - 20 so it can't be true because there is not a root for - 20 in real numbers

And the second number we will try is (1)

16-9(1)

It equals +7 so it is true

Then the domain is - 1.33≤ x≤1.33

Because if you plug 1.33 in the function it will also give you a real number

Hope it helps

The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.

Let's consider the equation of a function.

f(x) = \(0.9x^{2} + 3.4x -2.4\)

Now, divide each and every element and assume that a, b, and c are coefficients of the function given.

a: 0.9

b: 3.4

c: -2.4

The sign of the coefficient of a determines the exposure of the parabola. Since a >  0, the parabola is open upwards and has a minimum value.

We can find the "x" of the vertex using the following expression.

x(v) = -b/2a = -3.4/(0.9)

x(v) = -3.77

We can find the "y" of the vertex by replacing this x in the equation

y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4

y(v)  = -2.42

The minimum value of the function is -3.77

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For this function, A is -2/3, B is 0 and C is 2/3.

To find the critical numbers of the function f(x) = 9x + 4\(x^{-1}\) , we need to find the values of x where the derivative of the function is equal to zero or undefined.

The derivative of f(x) is:

f'(x) = 9 - 4\(x^{-2}\) = 9 - 4/\(x^{2}\)

To find where the derivative is equal to zero, we set f'(x) = 0 and solve for x:

9 - 4/\(x^{2}\)  = 0

4/\(x^{2}\)  = 9

\(x^{2}\) = 4/9

x = ±2/3

Therefore, the critical numbers of f(x) are x = 2/3 and x = -2/3.

To find the intervals where the function is not defined, we need to look for values of x that make the denominator of the expression 4\(x^{-1}\)  equal to zero. In this case, the function is not defined at x = 0.

Now we need to determine the sign of the derivative in each of the intervals (−∞,A], [A,B), (B,C], and [C,∞).

For x < -2/3, f'(x) is negative because 4/\(x^{2}\)  is positive and 9 is greater than 4/\(x^{2}\) . Therefore, the function is decreasing on the interval (−∞,−2/3).

For −2/3 < x < 0, f'(x) is still negative because 4/\(x^{2}\)  is positive and 9 is still greater than 4/\(x^{2}\) . Therefore, the function is decreasing on the interval (−2/3,0).

For 0 < x < 2/3, f'(x) is positive because 4/\(x^{2}\)  is positive and 9 is less than 4/\(x^{2}\) . Therefore, the function is increasing on the interval (0,2/3).

For x > 2/3, f'(x) is still positive because 4/\(x^{2}\)  is positive and 9 is still less than 4/\(x^{2}\) . Therefore, the function is increasing on the interval (2/3,∞).

Finally, the function is not defined at x = 0, so the interval [A,B) is (−∞,0) and the interval (B,C] is (0,∞).

Therefore, we have:

A = -2/3

B = 0

C = 2/3

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Here the  p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence at the 0.05 level that the valve performs above specifications.

We have to evaluate null and alternative hypotheses for the scenario .

In this scenario, the null hypothesis is

H0: μ = 5.8

here

μ = true mean pressure produced by the valve.

Now for the alternative hypothesis is

HA: μ > 5.8

here

μ = true mean pressure produced by the valve.

Therefore to  determine if there is sufficient observation at the 0.05 level that the valve performs above specifications,

Here we can utilize a one-tailed z-test with

α = 0.05

Then,  test statistic can be evaluated as

z = (X' - μ) / (σ / √n)

where:

X' = sample mean

μ = hypothesized value concerning the population mean

σ = population standard deviation

n = sample size

Substituting in our values, we get:

z = (5.9 - 5.8) / (1 / √130) = 1.8856



Now utilizing a z-table  we can evaluate that the p-value associated with this test statistic is approximately 0.0292.

Since this p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence at the 0.05 level that the valve performs above specifications.

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\(\huge\boxed{\sf{Hello\:there!}}\)

Parallel lines have the same slope.

We are given the equation of one line: y=-2x+1

Its slope is -2.

The line parallel to the given line has a slope of -2 as well.

Now, we have the slope of the line and a point that it intersects.

All we have to do is use Point-Slope Form:

y-y1=m(-x1)

y-1=-2(x-4)

y-1=-2x+8

y=-2x+9

Therefore, that's the equation of the line.

\(\huge\boxed{\bf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}\)\(\huge\bold{Good\:luck!}\)

\(\huge\mathfrak{LoveLastsAllEternity}\)

First to Answer:

The triangle would be a cute Scalene Triangle!

Here's all that you really can do with solving that

√28 =5.29150262213

√8 = 2.82842712475

Side a = 2.8

Side b = 5

Side c = 5.2

Angle ∠A = 31.788° = 31°47'18" = 0.55481 rad

Angle ∠B = 70.167° = 70°10'0" = 1.22464 rad

Angle ∠C = 78.045° = 78°2'42" = 1.36214 rad

Area = 6.84817

Perimeter p = 13

Semiperimeter s = 6.5

Height ha = 4.89155

Height hb = 2.73927

Height hc = 2.63391

Median ma = 4.9051

Median mb = 3.34515

Median mc = 3.10805

Inradius r = 1.05357

Circumradius R = 2.65764

Vertex coordinates: A[0, 0] B[5.2, 0] C[4.25, 2.63391]

Centroid: [3.15, 0.87797]

Inscribed Circle Center: [3.7, 1.05357]

Circumscribed Circle Center: [2.6, 0.55051]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(x-3y=9\implies -3y=-x+9\implies y=\cfrac{-x+9}{-3} \\\\\\ y=\cfrac{-x}{-3}+\cfrac{9}{-3}\implies y=\cfrac{1}{3}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a likne whose slope is 1/3 and it passes through (-10 , 9)

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{(-10)}) \implies y -9= \cfrac{1}{3} (x +10) \\\\\\ y-9=\cfrac{1}{3}x+\cfrac{10}{3}\implies y=\cfrac{1}{3}x+\cfrac{10}{3}+9\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x+\cfrac{37}{3} \end{array}}\)

Answer:

2 1/4

Step-by-step explanation:

SOL Review question 4

Adana made key chains for her friends out of string.  She started with 2 1/6  feet of red string, 3 1/4 of yellow string, and 5 1/2 feet of green string. If Adana used a total of 8 2/3 feed of string on the key chains, How much string remains unused.

It would be 2 1/4 because you convert all the factions denominators to 12. 2 1/6 becomes 2 2/12, 3 1/4 becomes 3 3/12, 5 1/2 becomes 5 6/12, and 6 2/3 becomes 8 8/12. add 2 2/12, 3 3/12, and 5 6/12 and you get 10 11/12 and then you subtract 10 11/12 and 8 8/12 (10 11/12 - 8 8/12) and get 2 3/12. when you get that answer, convert it by 3 and you get 2 1/4.

I hope this was helpful.

90% confidence interval will have the smallest margin of error.

What is global warming?

Long-term changes in temperature and weather patterns are referred to as climate change. These changes may be organic, but since the 1800s, human activity has been the primary cause of climate change. This is primarily because burning fossil fuels, such as coal, oil, and gas, releases gases that trap heat.

In March 2015, the Public Policy Institute of California (PPIC) surveyed 7,525 likely voters living in California.

In the survey, respondents were asked about global warming. PPIC results show that 47% of adults age 55 and older view global warming as a serious problem, and 65% of adults age 18 to 34 view global warming as a serious problem.

PPIC researchers are interested in the difference in proportions of adults age 55 and over and adults age 18 to 34.

The standard error for the difference in proportions is 0.011.

The correct option is (a).

As the confidence level decreases margin of error decreases.

So 90% confidence interval will have the smallest margin of error.

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Answer:

4

Step-by-step explanation:

4x4x4=64

Answer:

0.4193

Step-by-step explanation:

Root 64=8

Root 364=19.08...in 4 s.f

8÷19.08=0.4193...in 4 significant figures (4s.f)

a) x+1+x+1+x+1+x+1=56 x=6.5

b) 2(6.5)+1=14cm

Answer: y^7 - 8

Step-by-step explanation:

It is an algebra equation. It can't be factor or solve further!

Answer:

Step-by-step explanation:

g(x) =(1/4 x)²

g(x)  = 4x² will be the equation of the parabola.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, two parabolas f(x) and g(x),

From the general equation of the parabola,

y = a(x – h)² + k or x = a(y – k)² +h.

Here (h, k) denotes the vertex.

As we can see in our case, the vertex is (0, 0)

Thus, the equation of the parabola will be

y = ax²

Since the given parabola passes through the point (1, 4)

Substitute the values,

4 = a(1)²

a = 4

therefore, the equation of the parabola g(x) will be,

g(x)  = 4x²

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Answer:

Ok so I've had braces and it doesn't really hurt getting put in but it does hurt when they tighten them but you have nothing to worry about :)

Step-by-step explanation:

Answer:

They don't hurt when they put them in however you will feel mild soreness and discomfort as your mouth adjusts to them as with anything, for example, fillings, they feel gritty and uncomfortable at first but your mouth adjusts to it.

" There will be mild soreness or discomfort after the orthodontic wire is engaged into the newly placed brackets, which may last for a few days to a week."

I know its can be scary at first but its for the health of your teeth and not everyone gets that privilege, just make sure to take care of them properly.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1

Answer:

2  2 /5 =  2.4  =  240 %

Step-by-step explanation:

The number 1 is the same as 1.00 and is the same as 100%.

The number 2, therefore, is the same as 2.00 and the same as 200%

2 /5  can be converted into a decimal by seeing that  2 /5 = 4 /10 .  4 /10 , spoken out loud, is "four tenths" and shows that the decimal is  

0.4 . And  0.4  is the same as 40%.  Which means that  2  2 /5 = 2.4= 240 %

Locating the smallest pie slice at 12 o'clock decreases the effectiveness of pie charts because it distorts the visual perception of relative proportions and makes accurate comparisons between slices more challenging.

Pie charts are graphical representations used to display data as a circular "pie" divided into slices, with each slice representing a category or proportion of a whole. The effectiveness of a pie chart lies in its ability to accurately convey the relative sizes of the different categories.

By locating the smallest pie slice at 12 o'clock, we introduce a visual distortion that can mislead viewers. When the smallest slice is at the top, it appears larger than it actually is due to the psychological effect of gravity and our tendency to perceive objects at the top as larger. This can lead to incorrect interpretations of the data and misrepresentation of the proportions.

To ensure the effectiveness of pie charts, it is generally recommended to order the slices based on their size, with the largest slice starting at 12 o'clock and proceeding clockwise in decreasing order. This allows viewers to easily compare the sizes of the slices and accurately understand the proportions they represent.

Therefore, locating the smallest pie slice at 12 o'clock decreases the effectiveness of pie charts by distorting the perception of relative proportions and making accurate comparisons more challenging.

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