A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What percent of the radios will function for more than 16 years? (b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X. (c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years? (d) If 10% of the radios will function for more than X years, find X.
Help, please!!

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

Answer:

C

Step-by-step explanation:

Points are written as (x,y)

So in (4,-1) x = 4 and y = -1

Looking at a graph if you go to the right 4 units the x axis and down one unit you will be at point (4,-1)

The graph that shows this would be c

The figure that shows a translation is (c)

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

The figures

In the figure (c), we have:

This means that the only transformation in figure (c) is translation

So, the figure that shows a translation is (c)

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For the same quantity of blue, the two highlighted rows demonstrate this. Purple 1 then utilizes more red than Purple 2.

Purple 1 is thus a redder hue of purple than Purple 2.

Purple 2 is a more blue-based purple than Purple 1.

The utilization of two or more additional numbers that compares is known as the ratio.

The ratio of red to blue in purple 1 and purple 2 will be 1:2 and 1:3, respectively. The table is given below.

Purple #1              Purple #2

Red: Blue             Red: Blue

  1      2                    1      3

 2      4                   2      6

 3      6                   3      9

For the same quantity of blue, the two highlighted rows demonstrate this. Purple 1 then utilizes more red than Purple 2.

Purple 1 is thus a redder hue of purple than Purple 2.

Purple 2 is a more blue-based purple than Purple 1.

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A formula that gives the amount is

The half life of the element is calculated from the formula

N(t) = N'(1/2)^(t/t')

where

N(t) = quantity of the substance remaining

N' = initial quantity of the substance

t = time elapsed

t' = half life of the substance

Plugging the values from the problem

N(t) = ?

N' = 70 grams

t = t

t' = 2.6 years

N(t) = 70 (0.5)^t/2.6

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The values are as:

a) f(g(x)) = √(x+ 9)

b) (gf)(x)= √x +9

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

Given:

f(x)=√x, g(x)=x+9

a) (fg)(x)=

f(g(x)) = f( x+9)

         = √(x+ 9)

Now, domain is all the input values

i.e., x=2, 4, 7

f(g(2)) = √(2+ 9)

          = √11

and, f(g(4)) = √(4+ 9)

          = √13

and, f(g(7)) = √(7 + 9)

          = √16

          = 4

b) (gf)(x)= g(f(x))

            = g(√x)

            = √x +9

Now, domain is all the input values

i.e., x=2, 4, 7

f(g(2)) = √2+ 9

and, f(g(4)) = √(4+ 9)

          = 2+9

          = 11

and, f(g(7)) = √7 + 9

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:618.014

Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.

Answer:

14 cm

Step-by-step explanation:

The length of the line segment, LP is; 14 cm

From the task content, it follows that the diagonal LN of the Rhombus has length, 28 centimetres.

However, from the task content also, the point P is the point of intersection of the two diagonals.

On this note, it follows that P is the midpoint of line LN and the length of line LP is therefore;

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Answer:

Volume ≈ 153.93804 cm^3

Rounded to the nearest whole number, the volume of the cone is approximately 154 cm^3.

Step-by-step explanation:

Answer:

( \(\frac{6}{7}\) - \(\frac{1}{3}\) ) is closer to \(\frac{1}{2}\)

Step-by-step explanation:

\(\frac{2}{15}\) + \(\frac{1}{3}\) = \(\frac{2 + 5}{15}\) = \(\frac{7}{15}\)

\(\frac{6}{7}\) - \(\frac{1}{3}\) = \(\frac{18-7}{21}\) = \(\frac{11}{21}\)

\(\frac{7}{15}\) , \(\frac{1}{2}\) , \(\frac{11}{21}\)

LCD (2, 15, 21) = 210

\(\frac{98}{210}\) , \(\frac{105}{210}\) , \(\frac{110}{210}\)

105 - 98 = 7

110 - 105 = 5 ⇒ \(\frac{11}{21}\) is closer to \(\frac{1}{2}\) ⇒ ( \(\frac{6}{7}\) - \(\frac{1}{3}\) ) is closer to \(\frac{1}{2}\)

The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

We have

Number of students= 1200

Water consumption per student= 750 ml

So, Total water consumption

= Number of students × Water consumption per student

= 1200 × 750 ml

= 900000 ml

= 900 Liter

Now, the time cooler tank has to be filled to quench the thirst

= 900 / 50

= 18 times

Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

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Answer: $4.5 left.

Step-by-step explanation:

You have 30 quarters, and find 20% more. To convert percentages to decimals for calculations, simply move the decimal two spaces to the left.

20% is 20. ---> 2.0 ---> .20

30 * 0.2 = 6.    Now add 6 (found) to 30 (original) to get the total.

30+6 = 36 total quarters.

You spend 50% of the quarters, 36 * 0.5 = 18.

This means you have 18 quarters left (or you spent 18).

18 quarters, each quarter is worth 0.25 dollars, so multiply the number left by how much each is worth.

18 * 0.25 = $4.5.

$4.50 is the amount left

Answer:

Step-by-step explanation:

f(x)=-7ex

f(2)=-7e(2)

    f(2)=-10

Answer:

1 2/3-6/8=11/12

Step-by-step explanation:

convert to a common denomitor.

1 2/3= 1 8/12

6/8= 9/12

1 8/12-9/12=11/12

ANSWER:

STEP-BY-STEP EXPLANATION:

Given:

P1 (-9, 9)

P2 (-4, -8)

We can calculate the vector as follows:

We replacing:

Answer:correct answers are 3.96

2.32

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

-7u^2 + 4u + 6 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -7, b = 4, and c = 6. Substituting these values, we get:

u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)

u = (-4 ± sqrt(136)) / (-14)

u = (2 ± sqrt(34)) / 7

Therefore, either:

cos(θ) = (2 + sqrt(34)) / 7

or:

cos(θ) = (2 - sqrt(34)) / 7

Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:

θ = arccos((2 + sqrt(34)) / 7)

θ = arccos((2 - sqrt(34)) / 7)

Using a calculator, we find:

Answer:

f•g(x) = f(x)•g(x)

f•g(x) = (2x-1) (x²-2x+1)

= 2x³-4x²+2x-x²+2x-1

= 2x³-5x²+4x-1

Answer:

Hi there!

Your equation is:

x-2000<=2500

Step-by-step explanation:

X represents the amount of money earned. Subtract 2000 for expenses, and that is less than or equal to 2500.

Hope this helps

Answer:

it should be 4500

Step-by-step explanation:

2500+2000=4500 hope this helps

Answer:

The area of the triangle is 40 \(yd^2\).

Step-by-step explanation:

The formula for finding the area of a triangle is \(\frac{1}{2} bh\), where \(b\) and \(h\) represents the base length and height respectively. Since the height is 10 yards, and the base length is 8 yards, that means the area will be \(\frac{1}{2} * 8 * 10 = \frac{1}{2} * 80 = 40 yd^2\).

Answer:

Cluster Sampling

Step-by-step explanation:

Cluster Sampling involves the random sampling of observation or subjects, which are subsets of a population. Cluster analysis involves the initial division of population subjects into a number of groups called clusters . From the divided groups or clusters , a number of groups is then selected and it's elements sampled randomly. In the scenario above, the divison of the population into towns where each town is a cluster. Then, the selected clusters (12) which are randomly chosen are analysed.

Step-by-step explanation:

here is your answer and marking me as brainlist

thank you

Answer 53/36

Step-by-step explanation:

If you want it in exact form it's 53/36

If you want it in mixed number form it's 1 17/36

If you want it in decimal form it's 1.472

The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].

Given that a inequality y={x ; 2<x≤7} and asked to find the solution set for the given inequality and plot graph according to that

⇒ y={x ; 2<x≤7} i.e domain=(2,7].

⇒y=x ∀ x ∈ (2,7]

The solution of the given inequality is x ∈ (2,7].

Therefore,The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].

Graph: image attached

y=x  ∀ x ∈ (2,7] is plotted {open at (2,0) and close at (7,0)}              

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Answer:

B

Step-by-step explanation:

Hope this helps!

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer:

Yes, that’s correct! Periodic tightening of nuts and bolts is a common type of maintenance for all exercise equipment. This helps to ensure that the equipment remains stable and safe to use.

Step-by-step explanation:

Given the following formula, w=x-y/2 -z. The value of y is y = x - 2w + wz .

Usually, simplification involves proceeding with the pending operations in the expression.

Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

Given the following formula,

w=x-y/2 -z

We need to solve for y.

\(w = \dfrac{x-y}{2 -z}\)

By cross multiplication

\(w\times (2 -z)= {x-y}\\\\2w - wz = x - y\)

subtract x both side

2w - wz -x = x - y -x

y = x - 2w + wz

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Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

225%

2*24=48, with 6 leftover. 6 is 25% of 24, so 200% (From when we multiplied 24 by 2) plus 25% (from the remainder) = 225%