Find the value of x to the nearest tenth

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

Answer:

Present salary is 550

Step-by-step explanation:

Here, we want to calculate the present salary seeing that it was 10% added to what we had last year

mathematically, that will be;

10/100 * 500 = 50

Adding this to 500, his present salary is 50 + 500 = 550

Answer:

550 is the answer

Step-by-step explanation:

I got it in the test

Answer:

64º and 116º

Step-by-step explanation:

x  + (x - 52) = 1080

2x - 52 = 180

2x = 232

x = 116º

x - 52 = 64º

The differential of the function f(x,y)=xe−ʸ at (−2,0)(−2,0) is:
df = (e^-y - xe^-y)dx + (xe^-y)dy

To find the differential, we need to find the partial derivatives of f(x,y) with respect to x and y. The partial derivative of f(x,y) with respect to x is e^-y. The partial derivative of f(x,y) with respect to y is -xe^-y.

Plugging in the point (-2,0), we get the differential:

df = (e^0 - (-2)e^0)dx + (-2e^0)dy

df = (2e^0)dx - (2e^0)dy

df = 2e^0dx - 2e^0dy

where: e^0 = 1

Therefore, the differential of the function f(x,y)=xe−ʸ at (−2,0)(−2,0) is:

df = 2dx - 2dy

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Answer:

f = 16

Step-by-step explanation:

84 + 48 = 132

180 - 132 = 48

48 divided by 3 = 16

Answer:

x = 10

One angle is 13 and the other angle is 13

Step-by-step explanation:

Vertical angles have the same measurement, so set the angles equal to each other and solve for x.

2x - 7 = x + 3  Subtract x from both sides of the equation

x - 7 = 3  Add 7 to both sides of the equation

x = 10  Now use this to solve for both angles

2(10) - 7 =

20 - 7 =

13

x + 3

10 + 3 =

13

Answer:

Сильные:

Упорный, нацеленый на результат

Уверен в себе

Трудолюбивый

Общительный

Организованный

Самостоятельный

Дисциплинированный

Слабые:

Излишне стеснительный

Чрезмерно эмоциональный

Раздражительный и даже агрессивный

Не обладающий силой воли

Не умеющий вовремя промолчать

Гиперактивный

Принципиальный

If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.

This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.

If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.

Then, we have:

0 ≤ Sn ≤ M1 for all n (Sn is bounded)

0 ≤ Tn ≤ M2 for all n (Tn is bounded)

Now, let's consider the partial sums of the series ∑an∑bn:

Pn = a1(T1) + a2(T2) + ... + an(Tn)

Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.

Using the properties of the partial sums, we have:

0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)

Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.

Therefore, the given statement is True.

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Answer:

x=-4.73 and -1.26

Step-by-step explanation:

We need to solve the given equation for x.

\((x + 3)^2 - 3 =0\)

Solving the above equation using formula (a+b)² =a²+2ab+b²

\((x + 3)^2 - 3 =0\\\\x^2+9+6x-3=0\\\\x^2+6x+6=0\)

It is a quadratic equation.

\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)

We have, a = 1, b = 6 and c = 6

\(x=\dfrac{-6\pm \sqrt{(6)^2-4\times 1\times 6} }{2\times 1}\\\\x=\dfrac{-6+\sqrt{(6)^{2}-4\times1\times6}}{2\times1},\dfrac{-6-\sqrt{(6)^{2}-4\times1\times6}}{2\times1}\\\\x=-1.267, -4.73\)

So, the values of x are -4.73 and -1.26

Answer:

The other leg is equal to 6.24 units.

Step-by-step explanation:

Using the Pythagorean Theorem:

\(a^2 + b^2 = c^2\)

However we need to find b:

\(c^2-a^2=b^2\)

Substitute:

\(8^2-5^2=b^2\)

\(64-25=b^2\)

\(b^2=39\)

Find the square root:

\(\sqrt{39}=6.24\)

The other leg is equal to 6.24 units.

Answer:

A) 210 B) 0.18

Step-by-step explanation:

got it right

Answer:

x^2-x-5

Step-by-step explanation:

1. expand the square

(+1)(+1)−3(+2)

2. distribute

(+1)+1(+1)−3(+2)

3. distribute

^2++1(+1)−3(+2)

4. multiply by 1

^2+++1−3(+2)

5. combine like terms

^2+2+1−3(+2)

6. distribute

^2+2+1−3−6

7. subtract the numbers

^2+2−5−3

8. combine like terms

^2−−5

9. gg you are done

^2−−5

Answer:

Your answer is 67.47$

Step-by-step explanation:

Hope this helped stay safe bye!

The combined capacity is given by (f+g) m = 2m² +32 m +210

An equation is defined as a mathematical statement used to relate a dependent and an independent variable.

The equation that gives the capacity of machine 1 is

f(m) = (m+4)² +100

and

The equation that gives the capacity of machine 2 is

g(m) = (m + 12)² -50

The total capacity of both the machine is given by

f(m) + g(m) =  (m+4)² +100 +(m + 12)² -50

(f+g) m = 2m² +32 m +210

Therefore the combined capacity is given by (f+g) m = 2m² +32 m +210

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Answer: a)159 boxes of cereal will be sold during the 10th week, b) an = 15n + 9

Step-by-step explanation:

Increasing the number of scores in the samples for an independent-measures t-statistic has the effect of increasing the likelihood of rejecting the null hypothesis while having little or no effect on measures of effect size.

As the sample-size increases, the t-statistic becomes more robust and accurate, which leads to a more precise estimate of the population parameter. This increased precision reduces the variability in t-statistic, which makes it easier to detect small differences between the means of the independent groups.

With a larger sample size, the t-statistic's sampling distribution approaches a normal-distribution, allowing for more reliable statistical inference. This results in a narrower confidence interval and a smaller p-value, increasing the likelihood of rejecting the null hypothesis when there is a true difference between the groups.

Therefore, increasing number of scores in samples enhances power of independent-measures t-statistic.

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The correct answer is: A good instrumental variable is one that is correlated with x, but not with the error.

In order to establish causality between x and y, we need to address any potential endogeneity issue where x is correlated with the error term. Instrumental variables (IVs) are used in econometrics to address endogeneity by finding variables that satisfy certain criteria.

To be a valid instrument, the IV should be correlated with the explanatory variable x, as this ensures that it can capture the relationship between x and y. However, it should not be correlated with the error term, as this would introduce bias and invalidate the instrumental variable estimation.

Therefore, a good instrumental variable is one that is correlated with x, but not with the error term. This allows us to isolate the effect of x on y and obtain consistent estimates of the causal relationship between the two variables.

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The researcher will analyse its p-value and then will comment on its null hypothesis that it will be rejected or accepted.

Given is that the regression coefficient = 0.26

standard error = 0.4

The estimated standard deviation of the measurement error is the standard error of a coefficient estimate. Additionally, the standard error of the mean at X is the term used to describe the standard error of the projected height of the regression line for a particular value of X.

Finding the relationship between changes in the independent variables and changes in the dependent variable is the main goal of regression analysis. These changes are described by coefficients, and p-values reveal whether or not these coefficients are substantially different from zero.

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Answer:

since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes

Answer:

A/h

Step-by-step explanation:

The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangle is 3cm longer than its width. If the perimeter of the rectangle is 58 cm. Then the equations are given below.

L = 3 + W                ...1

2(L + W) = 58

L + W = 29                ...2

From equations 1 and 2, then we have

3 + W + W = 29

2W = 26

W = 13 cm

Then the length of the rectangle will be given as,

L = 3 + 13

L = 16 cm

The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.

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Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!

Answer:

Step-by-step explanation:

1.Collect pairs of data where a relationship is suspected.

2.Draw a graph with the independent variable on the horizontal axis and the dependent variable on the vertical axis. ...

3.Look at the pattern of points to see if a relationship is obvious. ...

4.Divide points on the graph into four quadrants.

Answer:

6

Step-by-step explanation:

\(10^{2}\)= 100

\(8^{2}\)= 64

\(6^{2}\)=36

100-64=36

b would be 36

An isoline that connects all points of highest mean temperature on a world map is called the highest mean temperature isoline.

An isoline is a line on a map that connects points of equal value for a particular variable. In this case, the isoline connects all points of the highest mean temperature, indicating regions with the highest average temperatures.

Therefore, it is referred to as the "highest mean temperature isoline." The other options mentioned are not specifically related to the concept described.

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Answer:

750 meters

Step-by-step explanation:

120 meters/4 seconds = 30 meters per second

30 meters per second * 25 seconds = 750 meters

(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)

Answer:

x = 750 m

Step-by-step explanation:

Write and solve a equation of ratios:  

  120 m          4 sec

-------------  =  -------------

       x              25 sec

Inverting this equation yields

      x             25 sec

-------------- = -------------

  120 m          4 sec

Cross-multiplication yields (4 sec)x = (120 m)(25 sec).  This yields:

      3000 m-sec

x = --------------------  = 750 meters

           4 sec

Note that the same result can be obtained by multiplying (120 m) by (25/4).

The sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

A random sample is drawn from a population with mean μ=73 and standard deviation σ=6.1. To determine if the sampling distribution of the sample mean with n=18 and n=46 is normally distributed, we need to calculate the standard error for each sample size.

For n=18:
The standard error (SE) is calculated using the formula:

     SE = σ / √n
SE = 6.1 / √18

          ≈ 1.441 (rounded to 3 decimal places)

For n=46:
SE = 6.1 / √46 ≈ 0.901 (rounded to 3 decimal places)

To determine if the sampling distribution of the sample mean is normally distributed, we need to consider the Central Limit Theorem (CLT). According to the CLT, when the sample size is sufficiently large (typically n > 30), the sampling distribution of the sample mean tends to be approximately normally distributed, regardless of the shape of the population distribution.

Since both n=18 and n=46 are larger than 30, we can conclude that the sampling distribution of the sample mean with these sample sizes is approximately normally distributed.

Therefore, the sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

The sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

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