WILL GIVE BRAINLIEST PLZZZ HELP

Answer: 5940

Step-by-step explanation:

we have 18,000 in the bank with an interest of 3%

the simple interest I= prt, where p is the principal, in this case is 18,000

r is the rate, 3%, and t is the time, t=11 years

I= 18,000 * 3/100 *11=5940

Answer:

(2,0)

Step-by-step explanation:

-hope it helps

The answer is 72. 3•4•6=72 That is the volume of the figure.

Answer:

A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.

Step-by-step explanation:

Try writing this on your own words if you want :)

When two triangles are similar the corresponding sides are always in the same ratio.

If triangle MNP is similar to traingle XYZ, the lengths of MNP needs to be in the same ratio with the corresponding sides of triangle XYZ

Prove each of the given options lengths to find the one that makes the equation above be true:

Pair corresponding sides ordering its lengths from least XY to greatest YZ

First option:

As the ratios are not the same that cannot be the lengths of MNP

Second option:

As the ratios are the same that can be the lengths of MNP

Third option:

As the ratios are not the same that cannot be the lengths of MNP

Fourth option:

As the ratios are not the same that cannot be the lengths of MNP

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

Step-by-step explanation:

Let's open the brackets,

12z - 21 = -21 + 12z (distributive property)

12z - 12z = -21 + 21

0z = 0

z = 0

Answer:

I think it is 4 to 3

Step-by-step explanation:

if I am wrong I'm sorry

Answer:

4-3

Step-by-step explanation:

Answer:

32 guests

Step-by-step explanation:

96 divided by 3

Answer:

either 0 or 8, see the step by step for rationale pending the actual question

Step-by-step explanation:

two parallel lines will never intersect.

if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.

if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).

since there are two parallel lines that intersection happens twice. so 8

To solve the equation √3x + 4 - x = -2, let's go step by step. So, the solution to the equation is x = -3(√3 + 1).

1. Move the constant term to the other side:

√3x + 4 - x + 2 = 0

2. Combine like terms:

- x + √3x + 6 = 0

3. Combine the x terms:

(√3 - 1)x + 6 = 0

4. Move the constant term to the other side:

(√3 - 1)x = -6

5. Divide both sides by (√3 - 1):

x = -6 / (√3 - 1)

Now, let's rationalize the denominator by multiplying the numerator and denominator by the conjugate of (√3 - 1), which is (√3 + 1):

x = -6(√3 + 1) / (√3 - 1)(√3 + 1)

Simplifying the denominator:

x = -6(√3 + 1) / (√3)^2 - (1)^2

x = -6(√3 + 1) / 3 - 1

x = -6(√3 + 1) / 2

x = -3(√3 + 1)

So, the solution to the equation is x = -3(√3 + 1).

We should note that this solution is not extraneous.

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Answer:

Step 2

Step-by-step explanation:

The commutative property mentions that the change of order doesn't affect the sum or the product of an equation.

Answer:

The answer is B step 2

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

I did it on the test

Answer:

800

Step-by-step explanation:

I just fifnished test

Answer:

(Unless I am understanding the question/lesson wrong I know how to do this)

Step-by-step explanation:

On the first set you can see that 1 is the time and 3 is the distance so you would go to the chart and where it says time you would go right one time and I think since it says distance you would be the point up 3 times to the chart would look like (1,3).

Hope this helps :)

Answer:

50

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Divide each side by '0.2'.

x = 50

The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

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Answer: 3750

Step-by-step explanation:

The solution to the problem involves calculating the t-score and finding its corresponding p-value. The steps involved are: Step 1: Determine the null and alternative hypotheses. H0: The weights of pennies pre-1983 and post-1983 have the same amount of variation Ha: The weights of pennies pre-1983 and post-1983 do not have the same amount of variation.

Step 2: Set the level of significance. Assume the level of significance is α = 0.05. Step 3: Calculate the degrees of freedom (df) using the formula: df = n-1 where n is the total number of pairs of sample data. Here, n = 35+37

= 72Therefore,

df = 72-1

= 71. Step 4: Calculate the standard deviation of the differences using the formula: \(sd = sqrt(((n-1) * (Sd1^2 + Sd2^2)) / df),\) where Sd1 and Sd2 are the standard deviations of the first and second samples, respectively. Here, Sd1 = 0.03910 and

Sd2 = 0.01649. Therefore,

\(sd = sqrt(((71) * (0.03910^2 + 0.01649^2)) / 71)\)

= 0.042. Step 5: Calculate the t-score using the formula:

\(t = (d - μd) / (sd / sqrt(n))\), where d is the difference between each pair of sample data, μd is the hypothesized difference between the population means of the two samples (which is zero), and n is the total number of pairs of sample data. The t-score is given by: \(t = (3.07478 - 2.49910) / (0.042 / sqrt(72))\)

= 12.293. Step 6: Find the p-value using the t-distribution with (n-1) degrees of freedom. Since the alternative hypothesis is two-tailed, the p-value is calculated as: P = 2 * (1 - T.DIST(t, df, 1)) where T.DIST is the Excel function that returns the probability of the t-distribution. The p-value is given by: P = 2 * (1 - T.DIST(12.293, 71, 1))

= 0 (approx.)

Conclusion, Since the p-value is less than the level of significance (p < α), we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that the weights of pennies pre-1983 and post-1983 do not have the same amount of variation.

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The risk of explosion in the process industry is 6.6594e-06 per year.

To calculate the risk of explosion, we need to consider the probability of a gas release, the probability of ignition, and the probability of fatal injury.

Step 1: Calculate the probability of an explosion.

The probability of a gas release per year is given as\(1.23 * 10^-^5\).

The probability of ignition is 0.54.

The probability of fatal injury is 0.32.

To calculate the risk of explosion, we multiply these probabilities:

Risk of explosion = Probability of gas release * Probability of ignition * Probability of fatal injury

Risk of explosion = 1.23 * \(10^-^5\) * 0.54 * 0.32

Risk of explosion = 6.6594 *\(10^-^6\) per year

Therefore, the risk of explosion in the process industry is approximately 6.6594 * 10^-6 per year.

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1) Gathering the data

P = 19,000

rate = 0.6% or 0.006

Period : 7 years

A =?

2) Let's plug into the formula below:

3) So the answer is:

Answer:

1.625.

Step-by-step explanation:

The

speed

indicated in kilometers per hour is 85 km/h, as shown on the circular scale of the automobile

speedometer

.

The automobile

speedometer

is an instrument that measures the speed of a vehicle. It has a circular

scale

that reads both miles per hour (mph) and kilometers per hour (km/h). To determine the

speed

in kilometers per hour, the user must first locate the needle on the scale. The needle should be pointing to a specific number that corresponds to both mph and km/h. For example, if the needle is pointing to 85, then the speed indicated in kilometers per hour is 85 km/h. It is important to note that if the needle is located between two

numbers

, the user should determine the approximate speed by interpolating the two numbers. To find the speed in miles per hour, the user can simply look at the number that corresponds to the needle on the scale. In this case, the speed indicated in miles per hour is 53 mph.

The complete question: An automobile speedometer with circular scales reading both miles per hour and kilometers por hour is shown. What speed is indicated in miles per hour? 100 120 140 80 160 *60 180 200 40 20 220 Own 240 Express your answer in miles per hour v.2 mph

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Answer:

$35.10

Step-by-step explanation:

Answer:

Step-by-step explanation:

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

<ALS - <2 = <1

< LDA + <ADE = 180  degrees

Step-by-step explanation:

<ALS = <1+<2

<ALS - <2 = <1

< LDA + <ADE = 180  degrees since it forms a straight line

arctan(1/8) ≈ 1/8.To find a series representation for arctan(x), we can use the Taylor series expansion of arctan(x) around x = 0.

The Taylor series representation of arctan(x) is given by:

arctan(x) = x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...

We can use this series representation to approximate arctan(1/8) to the desired accuracy.

Substituting x = 1/8 into the series representation, we have:

arctan(1/8) ≈ (1/8) - ((1/8)^3)/3 + ((1/8)^5)/5 - ((1/8)^7)/7 + ...

To approximate arctan(1/8) to an accuracy of 0.001, we continue adding terms in the series until the absolute value of the next term is less than 0.001.

Let's calculate the first few terms to see the pattern:

arctan(1/8) ≈ (1/8) - ((1/8)^3)/3 + ((1/8)^5)/5 - ((1/8)^7)/7

arctan(1/8) ≈ 1/8 - 1/3072 + 1/81920 - 1/2883584

To determine the accuracy, we need to calculate the value of the next term in the series:

Next term ≈ (1/8)^9/9 = 1/20643840

Since the next term, 1/20643840, is smaller than 0.001, we can stop here.

Approximating arctan(1/8) to an accuracy of 0.001, we have:

arctan(1/8) ≈ 1/8 - 1/3072 + 1/81920 - 1/2883584

Now, let's simplify this expression:

arctan(1/8) ≈ 0.125 - 0.00032552083 + 0.00001220703 - 0.00000034681

Adding up these terms, we get:

arctan(1/8) ≈ 0.12481190972

To round to an accuracy of 0.001, we need to consider the next denominator place:

arctan(1/8) ≈ 0.125

Therefore, the approximation of arctan(1/8) to an accuracy of 0.001 is 0.125.

The correct answer is:

arctan(1/8) ≈ 1/8.

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Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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a. The final polynomial solution is 10x² - 2x - 11.

b. The final polynomial solution is 14x² + 7x - 31.

In this exercise and scenario, your are required to either add or subtract the two polynomial functions.

Part 1a.

First of all, we would rearrange the polynomial functions in order to collect like terms as follows;

(-2x² - 4x + 14) + (12x² + 2x - 25)

12x² - 2x² - 4x + 2x - 25 + 14

10x² - 2x - 11

Part 1b.

Next, we would subtract the two (2) given polynomial functions by distributing the negative signs as follows;

(7x² + 4x - 16) - (-7x² - 3x + 15)

7x² + 4x - 16 + 7x² + 3x - 15

Now, we would rearrange the polynomial functions in order to collect like terms as follows;

7x² + 7x² + 4x + 3x - 16 - 15

14x² + 7x - 31

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The most appropriate choice for percentage will be given by-

14 categories can be carried

What is Percentage?

Percentage is a ratio expressed as a percentage of 100.

Total area of selling space = \(2500 ft^2\)

Percentage of space used for isles = \(30\) %

Area of space used for isles = \(\frac{30}{100} \times 2500\)

                                               = \(750 ft^2\)

Area of space left = \(2500 - 750\)

                              = \(1750 ft^2\)

Area of space reserved for each category =  \(125 ft^2\)

No of categories = \(\frac{1750}{125}\)

                            = \(14\)

14 categories can be carried

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