what is the value of the ( m ) in the equation 5 + m = 7​

Answer: 9.2 years

Step-by-step explanation:

Given the following :

Mean(m) = 11.7 years

Standard deviation (s) = 1.2 years

Recall the z-score formula :

Z = (x - m) / s

We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.

2% = 0.02

0.02 falls most closely to 0.02018whuch is under - 2.05.

Using the z-score value in the formula above :

-2.05 = (x - 11.7) / 1.2

Cross multiply

(-2.05 × 1.2) = x - 11.7

-2.46 = x - 11.7

x = - 2.46 + 11.7

x = 9.24 years

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Answer:

  ∠ADB = γ/2 +90°

Step-by-step explanation:

Here's one way to show the measure of ∠ADB.

  ∠ADB = 180° - (α + β) . . . . . sum of angles in ΔABD

  ∠ADB + (2α +β) + γ + (2β +α) = 360° . . . . . sum of angles in DXCY

Substituting for (α + β) in the second equation, we get ...

  ∠ADB + 3(180° - ∠ADB) + γ = 360°

  180° + γ = 2(∠ADB) . . . . . . add 2(∠ADB)-360°

  ∠ADB = γ/2 + 90° . . . . . . . divide by 2

_____

To find angles CXD and CYD, we observe that these are exterior angles to triangles AXB and AYB, respectively. As such, those angles are equal to the sum of the remote interior angles, taking into account that AY and BX are angle bisectors.

All the equivalent expressions are,

1.35X and (1+0.35)x.

The correct options are a and d.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

The value of X increased by 35%.

Here, we will use the percentage formula.

The value is increased by 35%.

That means,

100 + 35 = 135%

135% in decimal form is 1.35.

In expression form as subject to X,

X(1.35)

In expressed form,

= X + 0.35X

= 1.35X

Therefore, equivalent expressions are 1.35X and (1+0.35)x.

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The area of the geometry is the sum of the area of the triangle and the semicircle will be 49.12 square feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The geometry is the combination of the semicircle and right triangle.

Then the area of the geometry will be

Area = 1/2 x 6 x 8 + π/8 x 8²

Area = 4 x 6 + 3.14 x 8

Area = 24 + 25.12

Area = 49.12 square feet

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As we can see in the graph, the triangle KXH has been reflected both on the y-axis and x-axis and then reduce by a scale factor between 0 and 1.

Reflection on both the y-axis and x-axis can be renamed to a single transformation which is a rotation of 180° about the origin. The transformation rule of a rotation about the origin is (x, y) → (-x, -y).

From the original coordinates of the triangle KXH, after rotation of 180° about the origin, the new coordinates are:

Now, if we compare the coordinates of triangle NGP and the new coordinates after the rotation:

We can see that the new coordinates after rotation was multiplied by 1/2 to form the coordinates of the Triangle NGP.

Hence, after a 180° rotation, the triangle KXH is dilated by a scale factor of 1/2. In symbol, this can be written as:

Note that instead of using 1/2, we use decimal because the instruction is to use integer or decimal.

The answer is Option D and fill in the box with D sub 0.5 as shown above.

Answer:

A

Step-by-step explanation:

a) The given series is\(\sum (-3n/n+1)^{2n }\)where n starts from 1.

b) the limit of n√|an| as n approaches infinity is 9/7.

c) the series is divergent.

a) The given series is\(\sum (-3n/n+1)^{2n }\)where n starts from 1.
b) We can use the Root Test to determine the convergence or divergence of the given series. Let's find the limit of the nth root of the absolute value of the nth term as n approaches infinity.

\(lim_{ n = oo}\sqrt{(-3n/n+1)^{2n| }}=\\ lim _n[(3n^2)/(n+1)^2] \\\\= lim (3n^(3/2))/n^(3/2+2)/(n+1)^(3/2)\\= lim 3(n+1)^(3/2)/n^(7/2+1)\)
We can now use L'Hopital's Rule to evaluate the above limit. Taking the derivative of the numerator and denominator with respect to n, we get:

\(lim 3(3/2)(n+1)^(1/2)/[(7/2)n^(5/2+1)]\\= lim (9/7) (n+1)^(1/2)/n^(7/2)\\= 9/7\)

Therefore, the limit of n√|an| as n approaches infinity is 9/7.
c) Since the limit of n√|an| is greater than 1, by the Root Test, the series is divergent.

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Stratified sampling should be used if a population is believed to have a skewed distribution for one or more of its distinguishing factors.

If a population is believed to have a skewed distribution for one or more of its distinguishing factors, then stratified sampling should be used. This involves dividing the population into subgroups based on the distinguishing factors and then randomly selecting samples from each subgroup in proportion to its size. This ensures that the sample represents the population accurately, even if it has a skewed distribution. Sample random, synthetic, and cluster sampling methods may not be effective in this case as they do not account for the skewed distribution of the population.

Stratified sampling is the most appropriate method to use if a population is believed to have a skewed distribution for one or more of its distinguishing factors. It ensures that the sample accurately represents the population and is not biased by the skewed distribution.

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Answer:

the lenth of the court is 78 feet

The Cartesian coordinate system is also referred to as a plane because it represents a two-dimensional space.

In mathematics, a plane is a flat surface that extends infinitely in all directions. The Cartesian coordinate system consists of two perpendicular lines, known as the x-axis and y-axis, which intersect at a point called the origin. These axes divide the plane into four quadrants.

The term "plane" in the context of the Cartesian coordinate system originates from the concept of a geometric plane, which is a fundamental concept in Euclidean geometry. In Euclidean geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions.

The Cartesian coordinate system borrows this concept and applies it to represent points, lines, curves, and shapes in a two-dimensional space.

By using the Cartesian coordinate system, we can assign coordinates (x, y) to any point in the plane, where the x-coordinate represents the horizontal position and the y-coordinate represents the vertical position.

This system allows us to precisely locate and describe objects or phenomena within the two-dimensional space, making it a valuable tool in various fields such as mathematics, physics, engineering, and computer graphics.

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Answer:

Perimeter= 12 Area= 9

Step-by-step explanation:

Answer:

table will be 7, 11, 15,19

Order pairs will be (1,7)(2,11)(3,15)(4,19)

the fifth term of the sequence will be 23

Step-by-step explanation:

4 (1)+3=7

4(2)+3=11

4(3)+3=15

4(4)+3= 19

4(5)+3=23

Hope this helps

Answer:

x = 8

Step-by-step explanation:

36 - 12 = 24

24/3 = 8

Answer:

y = 2x - 11

Step-by-step explanation:

y = 2x + b

-1 = 2(5) + b

-1 = 10 + b

-11 = b

Answer:

30 album pages

Step-by-step explanation:

10 times 24 = 240 ÷ 8 = 30

By evaluating the exponential equation for the population:

P(x) = 200*(1.2)^x

We will get:

a) 240 badgers

b) 288 badgers

We know that the number of badgers increases by 20% each year, that increase after x years is given by the exponential equation:

P(x) = A*(1 + 20%/100%)^x

P(x) = A*(1.2)^x

Where A is the initial amount.

Here we know that the initial population of badgers is 200, then we have:

P(x) = 200*(1.2)^x

a) To find the population after one year, we need to evaluate the exponential equation in x = 1, we will get:

P(1) = 200*1.2^1 =240

b) The population after 2 years is:

P(2) = 200*1.2^2 = 288

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Answer:

7.89 x 10<superscript=10>

Step-by-step explanation:

I'm not sure,, is there a paper or written length of the sharks,, or is it going off of searching it on the internet?

You haven't given the length of each shark so we can't really calculate the total length of the 7 sharks but I'll just give a strategy to find it.

let \(x\) be the length of the blacktop sharks and let \(y\) be the length of the tiger sharks. In order to figure out their total length, you can use this formula:

\(3x\ +\ 4y\ =total\ length\ of\ sharks\)

Answer:

54:2×3×3×3

36:2×2×3×3

Answer:

Prime Factor of 36:

\( {2}^{2} \times {3}^{2} = 36\)

Prime Factor of 54:

\(2 \times {3}^{3} = 54\)

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Answer:

Number of boys in the class is (2/2+3)*25=(2/5)*25=10

Step-by-step explanation:

The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.

ep explanation:

Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

Answer:

they is no answer because x-+20 is not applicable to math

Answer:

x = -20

Step-by-step explanation:

because there is no quadratic equation there

If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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A hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level. This means that the test was not able to provide enough evidence to support the idea that the regression coefficient is significantly different from zero.

A hypothesis test is a statistical test that is used to determine whether there is enough evidence to support or reject a claim about a population based on the sample data. In a regression analysis, the regression coefficient represents the slope of the regression line that shows the relationship between the dependent variable and the independent variable(s).The null hypothesis for a regression coefficient is that the population slope is zero, which means that there is no linear relationship between the dependent variable and the independent variable(s). The alternative hypothesis is that the population slope is not zero, which means that there is a linear relationship between the dependent variable and the independent variable(s).The level of significance (α) is the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. The commonly used value for α is 0.05 (or 5%).If a hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level, it means that there is not enough evidence to support the alternative hypothesis that the population slope is not zero. Therefore, it can be concluded that the regression coefficient is not significantly different from zero and there is no linear relationship between the dependent variable and the independent variable(s).

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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