What is the probability of the spinner below landing on blue and rolling an even number on a 6-sided die?

Show work! If it’s correct I will give brainliest

Answer:

5280 cubic inches

Step-by-step explanation:

V= l * w * h

V= 18 * 12 * 20

V= 4320 cubic inches

Then do the first measurement subtracted by the second one because it wants to know the difference.

9600 - 4320 = 5280 cubic inches

Answer:

369 miles

Step-by-step explanation:

82 miles =2 gallons

41 miles = 1 gallon

369 miles = 9 gallons

Answer:

369 miles

Step-by-step explanation:

Distance travelled in 1 gallon gasoline = 82 miles

So, distance travelled in 1 gallon gasoline

= distance travelled in 2 gallon gasoline/2

= 82 miles/2

= 41 miles

So, distance travelled in 9 gallons gasoline

= distance travelled in 1 gallon gasoline × 9

= 41 miles × 9

= 369 miles

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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The conclusion which is correct about given situation is D) The p-value (0.001) is less than the significance level (0.01), which means we reject the null hypothesis that the proportion of boxes with broken glass is equal to or less than 8%.

We have convincing evidence to suggest that the actual proportion of boxes with broken glass is greater than 8%. Therefore, we can conclude that the glass manufacturer's belief is supported by the sample data.

This conclusion is based on the fact that the p-value is less than the significance level, indicating that the observed data is unlikely to have occurred by chance alone assuming the null hypothesis is true.

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The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Answer:

Common Ratio = 2.5

Step-by-step explanation:

Given

Points: (1, 1), (2, 2.5), (3, 6.25)

Required

Determine the common ratio

The points can be rewritten as:

x --- f(x)

1 ---- 1

2 --- 2.5

3 ---- 6.25

The data under the x column are the domain of the function and in this case,  they are not needed;

To calculate common ration, Lena should use data in function f(x) column

Common ratio is calculated by dividing a term by the previous term;

Hence;

Common Ratio = 2.5/1 or 6.25/2.5

Common Ratio = 2.5 or 2.5

Notice that, the results are the same;

Hence, the usable common ratio is 2.5

Answer:

c

Step-by-step explanation:

edge2020

If 4 buses carrying 150 football fans from same school arrive at a football stadium, then the expected-value, "E(X)" is 41 and variance "Var(X)" is 99.

To find the expected value of X, we use the formula E(X) = ∑x P(X=x), where x is = possible values of X and P(X=x) = probability of X taking the value x.

Four buses have a total of 150 students, the probability that the randomly selected person is from a bus with x students is the proportion of students on that bus divided by the total number of students:

P(X=x) = (number of students on bus with x students)/(total number of students);

So, We have:

P(X=20) = 20/150 = 2/15

P(X=35) = 35/150 = 7/30

P(X=45) = 45/150 = 3/10

P(X=50) = 50/150 = 1/3

The expected-value of X is : E(X) = 20(2/15) + 35(7/30) + 45(3/10) + 50(1/3) = 41

To find the variance of X, we use the formula Var(X) = E(X²) - [E(X)]².

We already know E(X), so we need to find E(X²).

E(X²) = ∑ x² P(X=x);

So, We have:

E(X²) = 20²(2/15) + 35²(7/30) + 45²(3/10) + 50²(1/3) = 1780;

So, variance of X is : Var(X) = E(X²) - [E(X)]² = 1780 - 41² = 99.

Therefore, the expected value of X is 41 and the variance of X is 99.

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The equivalence classes of the given equivalence relation are: {1, 4}, {2, 5}, and {3}. To determine the equivalence classes of the equivalence relation given by {(1, 1), (1, 4), (2, 2), (2, 5), (3, 3), (4,1), (4, 4), (5, 2), (5, 5)}, we need to identify all the pairs of elements that are related to each other.

Two elements are related if there is a pair (a, b) in the relation such that a is related to b. In this case, we can see that:

- 1 is related to 1 and 4
- 2 is related to 2 and 5
- 3 is related to 3
- 4 is related to 1 and 4
- 5 is related to 2 and 5

We can use these relationships to group the elements into equivalence classes. An equivalence class is a set of elements that are related to each other. In this case, we have the following equivalence classes:

- {[1, 4]}: This equivalence class contains the elements 1 and 4, which are related to each other.
- {[2, 5]}: This equivalence class contains the elements 2 and 5, which are related to each other.
- {[3]}: This equivalence class contains the element 3, which is related to itself.
- {[1, 4], [2, 5]}: This equivalence class contains the elements 1, 4, 2, and 5, which are all related to each other.
- {[1, 4], [2, 5], [3]}: This equivalence class contains all the elements, since they are all related to each other.

Each equivalence class contains elements that are related to each other, and no element in one equivalence class is related to any element in another equivalence class. These equivalence classes form a partition of the set of elements, since every element is contained in exactly one equivalence class.

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The range of scores that lies within two standard deviations from the mean is (43.68, 56.32), the lowest score which lies two standard deviations above the mean is 56.32, and the highest score which lies three standard deviations below the mean is 40.52.

The random variable X has a normal distribution with mean 50 and variance of 10. The standard deviation of X is the square root of the variance, which is √10 ≈ 3.16.

a. The range of scores that lies within two standard deviations from the mean is (50 - 2*3.16, 50 + 2*3.16) = (43.68, 56.32).

b. The lowest score which lies two standard deviations above the mean is 50 + 2*3.16 = 56.32.

c. The highest score which lies three standard deviations below the mean is 50 - 3*3.16 = 40.52.

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Answer:

can you say it in english so i can help u

Step-by-step explanation:

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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The bar showing the spending for the chamber of commerce makes comparisons with the other groups more difficult.

The structured presentation is a well known visual device for showing information and making correlations between various classifications or gatherings. Nonetheless, certain elements of the information can utilize a visual chart less supportive for correlations. For this situation, the bar showing the spending for the office of trade makes correlations with different gatherings more troublesome on the grounds that it is altogether bigger than different bars, which can make it harder to analyze the general sizes of different bars precisely.

Furthermore, the information would preferable fit a flat rather over an upward show, as this would consider a more clear representation of the information and more precise correlations between the various classifications.

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Answer:

James is paying $0.17 per ml.

Step-by-step explanation:

To get this answer you divide the amount purchased by the amount spent: 3.43/20

This will give you 0.1715, which rounds down to 0.17 (which is 17 cents)

The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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Answer:

I THINK its 1.5?

Answer:3/2

Step-by-step explanation:

hope this helps, LOOK AT THE PICTURE

Answer:24

Step-by-step explanation:

i think its right just try

1) El vehículo tardará 14 minutos en recorrer la misma distancia a una rapidez de 50 kilómetros por hora.

2) La rapidez registrada equivale al 55.556 % de la velocidad máxima de la zona.

1) En este problema tenemos el caso de un vehículo que se desplaza a rapidez constante. Aquí tenemos que la rapidez (v), en kilómetros por hora, es inversamente proporcional al tiempo invertido (t), en minutos.

[(40 km /h) / (50 km / h)] = t / 20 min

4 / 5 = t / 20

t = 80 / 5

t = 14 min

El vehículo tardará 14 minutos en recorrer la misma distancia a una rapidez de 50 kilómetros por hora.

2) El porcentaje correspondiente a la rapidez reportada se calcula mediante porcentajes:

r = [(50 km / h) / (90 km / h)] × 100 %

r = 55.556 %

La rapidez registrada equivale al 55.556 % de la velocidad máxima de la zona.

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If the shape of the distribution in this population is negatively skewed, then the shape of the sampling distribution of sample variances is also negatively skewed.

The sampling distribution refers to the distribution of a statistic for all possible random samples drawn from the same population. The shape of the sampling distribution of the sample variance is related to the shape of the original population. The sample variance measures the amount of variation or dispersion within the sample.

The sampling distribution of sample variances is also known as the chi-square distribution. The distribution of sample variances approaches a chi-square distribution as the sample size increases. Therefore, if the shape of the distribution in this population is negatively skewed, the shape of the sampling distribution of sample variances is also negatively skewed.

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The equation of the line that passes through the point (6,8) and is perpendicular to a line is y = (-2/3)x + 12.

Given the equation, y= 3/2x + 5. Compare it with the general equation of the line,

y =  m₁   x + c₁

y= (3/2) x + 5

Therefore, the slope of the given line is m₁=(3/2).

Since it is needed to find the line that is perpendicular to y= 3/2x + 5, therefore, the slope of the two lines can be written as,

(Slope of line 1) × (Slope of line 2) = -1

m₁ × m₂ = -1

(3/2) × m₂ = -1

m₂ = -2/3

Now, the equation of the given line can be written as,

y = m₂x + c₂

y = (-2/3)x + c₂

Substitute the given coordinate in the above equation to get the value of y-intercept(c),

8 = (-2/3)6 + c₂

8 = -4 + c₂

c₂ = 8 + 4

c₂ = 12

Hence, the equation is y = (-2/3)x + 12.

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The complete question is:

What is an equation of the line that passes through the point (6, 8) and is perpendicular to a line with equation y=3/2x 5.

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

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The expected money deposited in Clarie's account in next 12 months is listed below:

First, we must derive a formula that will generate the geometric sequence for the money remaining in Clarie's account:

\(c = c_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}\)     (1)

Where:

If we know that \(c_{o} = 300\) and r = - 50, then the money left for each month is shown in the image attached below.

The image quality is poor to the point of being very hard to read. However, it coincides with the complete statement, which is presented in the question.

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Two angles form a linear pair.

so, the sum of the angles are 180

the measure of the angles are z and (2.4 * z + 10)

so,

z + (2.4 * z + 10) = 180

solve for z

so,

z + 2.4 * z + 10 = 180

3.4 z = 180 - 10

3.4 * z = 170

divide both sides by 3.4

so, z = 170/3.4 = 50

so, the angles are 50 and 130

Answer:

Explanation:

Let x represent the length of the third side of the given triangle.

We can go ahead and determine the value of x using the Pythagorean theorem as seen below;

So the length of the third side of the triangle is 9

We can now determine the value of sine theta as seen below;

We can see that sine theta is 40/41

Let's determine the value of cosine theta as seen below;

So cosine theta is 9/41

Let's determine the value of tangent theta as seen below;

So tangent theta is 40/9

Let's now determine the value of cosecant theta as seen below;

So the value of cosecant theta is 41/40

Let's determine the value of secant theta as seen below;

So the value of secant theta is 41/9

Let's determine the value of cotangent theta as seen below;

So the value of cotangent theta is 9/40

The percent decrease in the high temperature from yesterday to today is 35%.

To calculate the percent decrease in temperature from yesterday to today, we first need to calculate the actual decrease in temperature:

Actual decrease = Yesterday's high temperature - Today's high temperature

Actual decrease = 80°F - 52°F

Actual decrease = 28°F

The percent decrease can be calculated using the formula:

Percent decrease = (Actual decrease / Yesterday's high temperature) x 100%

Substituting the values, we get:

Percent decrease = (28°F / 80°F) x 100%

Percent decrease = 0.35 x 100%

Percent decrease = 35%

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The complete question is below:

Yesterday, the high temperature was 80 degrees Fahrenheit. Today,  the high temperature was 52°F. What is the percent decrease in the high temperatures from yesterday to today?

Answer:

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

Step-by-step explanation:

The dividend is the polynomial which has to be divided.

The divisor is the expression by which the dividend is divided.

Given:

Following the steps of long division, divide the given dividend by the divisor:

\(\large \begin{array}{r}x^2+5x+4\phantom{)}\\x^2+5x-4{\overline{\smash{\big)}\,x^4+10x^3+25x^2+3x-24\phantom{)}}}\\{-~\phantom{(}\underline{(x^4+\phantom{(}5x^3-\phantom{(}4x^2)\phantom{-b)))))))))}}\\5x^3+29x^2+3x-24\phantom{)}\\-~\phantom{()}\underline{(5x^3+25x^2-20x)\phantom{)))..}}\\4x^2+23x-24\phantom{)}\\-~\phantom{()}\underline{(4x^2+20x-16)\phantom{}}\\3x-8\phantom{)}\end{array}\)

The quotient q(x) is the result of the division.

The remainder r(x) is the part left over:

The solution is the quotient plus the remainder divided by the divisor:

\(\implies q(x)+\dfrac{r(x)}{b(x)}=\boxed{x^2+5x+4+\dfrac{3x-8}{x^2+5x-4}}\)

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .