I’ll send you the rest because there’s more!! But the equation is in the picture!

Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

Learn about interest rate here https://brainly.com/question/30512587

#SPJ9

Answer:

Step-by-step explanation:

To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.

For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).

You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).

I hope this helps! Let me know if you have any questions.

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

To learn more about geometric progression click :

https://brainly.com/question/1522572

#SPJ1

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

Critical value at 90% confidence = 1.645

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $79.20

Standard deviation r = $10.41

Number of samples n = 14

Confidence interval = 90%

Using the z table;

The critical value that should be used in constructing the confidence interval.

z(α=0.05) = 1.645

Critical value at 90% confidence z = 1.645

Substituting the values we have;

$79.20+/-1.645($10.42/√14)

$79.20+/-1.645($2.782189528308)

$79.20+/-$4.576701774067

$79.20+/-$4.577

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

Answer:

Normal form = 1/12

Decimal form: 0.0833

Expected frequency of each face value is 20 and we can reject the null hypothesis that the die is fair.

To conduct a goodness-of-fit test for the fairness of the die, we need to first determine the expected frequency of each face value assuming the die is fair. Since there are six equally likely outcomes for a fair die, the expected frequency of each face value is 120/6 = 20.

Thus, we can complete the expected frequency column in the table as follows:

Face Value            Frequency          Expected Frequency

1                                  15                                20

2                                 29                               20

3                                 16                                20

4                                 15                                20

5                                 30                                20

6                                  15                                20

We can then calculate the chi-squared statistic using the formula:

χ² = Σ[(O - E)² / E]

where O is the observed frequency and E is the expected frequency.

Substituting the values from the table, we get:

χ² = [(15-20)²/20] + [(29-20)²/20] + [(16-20)²/20] + [(15-20)²/20] + [(30-20)²/20] + [(15-20)²/20]

χ² = 4.75 + 2.25 + 1 + 4.75 + 5 + 4.75

χ² = 22.25

The degrees of freedom for this test is (6-1) = 5. Using a chi-squared distribution table with 5 degrees of freedom and a significance level of 0.05, we find the critical value to be 11.07.

Since the calculated chi-squared value of 22.25 is greater than the critical value of 11.07, we can reject the null hypothesis that the die is fair. Therefore, we have evidence to suggest that the die may be biased.

To learn more about frequency click on,

https://brainly.com/question/24098145

#SPJ1

Complete Question

The data represent the membership of a group of politicians. If we randomly select one politician, what is the probability of getting a Republican given that a male was selected?    

        Republican      Democrat           Independent

Male           11                  6                                   0

Female       70                  17                                  7

The probability is approximately_____?

Answer:

The  probability is  \(P(k) = 0.647\)

Step-by-step explanation:  

From the question we are told that

   The  sample size of male is  \(n_m = 11 + 6 =17\)

     The  number of male Republican is  \(k = 11\)  

Generally the probability of getting a Republican given that a male was selected is

            \(P(k) = \frac{k}{n_m}\)

substituting values

          \(P(k) = \frac{ 11}{17}\)

          \(P(k) = 0.647\)

Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

Answer:

$0.19 per pencil

Step-by-step explanation:

$5.99 divided by 30 = 0.19

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

Tenemos que un automóvil utiliza 20 millas por galón y un galón cueta 3.98 dólares. Se requiere saber el costo de recorrer 180 millas. Para ello, primero debemos calcular los galones de gasolina consumidos durante las 180 millas, usando una regla de tres simple, de la siguiente manera.

resolviendo para "x" obtenemos:

Ahora, para establecer el costo aplicamos nuevamente una regla de tres, esta vez usando el precio por galón, de la siguiente manera:

Nuevamente resolviendo para "x", obtenemos

Por lo tanto, recorrer 180 millas cuesta 35.82 dólares

Question:

Are the lines in the diagram perpendicular, parallel, skew, or none of these?

Answer:

l and m:

none of these

l and n:

skew

m and n:

perpendicular

Answer:

l and m:

✔ none of these

l and n:

✔ skew

m and n:

✔ perpendicular

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

Answer:

i think its 125

Step-by-step explanation:

since 5^7 = 78,125 and 5^4 = 625

then it would be 78,125

                           ----------  = 125

                             625

sorry if im wrong ;-;

The answers are explained in the solution.

Given are right triangles, we need to find the missing lengths,

Here we will use Pythagoras theorem,

Hypotenuse² = base² + perpendicular²

1) x² = 5²+2²

x = √25+4

x = √29

2) 6² = x²+4²

x = √36-16

x = √26

3) 25² = x² + √24²

x = √625-576

x = √49

x = 7

Only the 3rd is following the rule of Pythagorean triplet.

Part 2 = The Triangle Inequality :-

The Triangle Inequality (theorem) says that in any triangle, the sum of any two sides must be greater than the third side.

a) 2, 4, 8

2+4 = 6 < 8 [not a triangle]

b) 5, 6, 7

5+6 = 11 > 7

6+7 = 13 > 5

7+5 = 12 > 6

Therefore, it is forming a triangle,

7² = 49

5²+6² = 36+25 = 61

∵ 7² < 5²+6²

Therefore, the triangle is an acute triangle.

c) 6, 8, 15

6 + 8 = 14 < 15 [not a triangle]

d) 9, 12, 15

9 + 12 = 21 > 15

12 + 15 = 27 > 9

15 + 9 = 24 > 12

Therefore, it is forming a triangle,

15² = 225

9²+12² = 81 + 144 = 225

∵ 15² = 9²+12²

Therefore, the triangle is a right triangle.

Learn more about triangles, click;

https://brainly.com/question/2773823

#SPJ1

Answer:

b. 36

Step-by-step explanation:

Evaluate x^4 - 4 x^2 + 3 x where x = -3:

x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

(-3)^4 - 49 - 3×3

Hint: | Determine the sign of (-3)^4.

(-3)^4 = (-1)^4×3^4 = 1×3^4:

3^4 - 4×9 - 3×3

Hint: | Compute 3^4 by repeated squaring.

3^4 = (3^2)^2:

(3^2)^2 - 4×9 - 3×3

Hint: | Evaluate 3^2.

3^2 = 9:

9^2 - 4×9 - 3×3

Hint: | Evaluate 9^2.

9^2 = 81:

81 - 4×9 - 3×3

Hint: | Multiply -4 and 9 together.

-4×9 = -36:

81 + -36 - 3×3

Hint: | Multiply 3 and -3 together.

3 (-3) = -9:

81 - 36 + -9

Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.

81 - 36 - 9 = 81 - (36 + 9):

81 - (36 + 9)

Hint: | Evaluate 36 + 9 using long addition.

| 1 |  

| 3 | 6

+ | | 9

| 4 | 5:

81 - 45

Hint: | Subtract 45 from 81.

| 7 | 11

| 8 | 1

- | 4 | 5

| 3 | 6:

Answer: 36

Answer:

a .yes

b.no

c

d.yes

e.no

f

g

h

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

The Base is 150 and the Exponent is 4

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

is there an image?

Step-by-step explanation:

if no then i guess B

The natural logarithms of the sides of the equations, indicates that the equivalent values of the variables are;

(a) A = 2, x = B

(b) C = x, D = 4

Natural logarithms are logarithms that are found with a base of e where e is an irrational number, with a value of about 2.7183, such that the natural logarithm of a number x is; ln(x).

(a) eˣ = 2

The natural logarithm of both sides can be found as follows;

ln(eˣ) = ln(2)

Therefore; x·ln(e) = ln(2)

ln(e) = 1, therefore; x·ln(e) = x × 1 = x = ln(2)

x = ln(2)

ln(2) = 2

Comparing the expressions, lnA = B indicates;

A = 2, and x = B

(b) The natural logarithm of both sides indicates that we get;

Ln(e⁴) = ln(x)

4·ln(e) = ln(x)

Ln(e) = 1, therefore;

4 × 1 = 4 = ln(x)

4 = ln(x)

ln(x) = 4

The comparison of the equations, lnC = D, and ln(x) = 4, indicates that we get;

C = x, and D = 4

Learn more on natural logarithms here: https://brainly.com/question/32515263

#SPJ1

Answer:

-8x-5=77

Step-by-step explanation:

five less than -5

product of a number and -8. -8x

Answer:

Step-by-step explanation:

Assumed the base is the longer side.

The height of the parallelogram is:

The area is:

Answer:

215132

Step-by-step explanation:

deltamath

In response to the stated question, we may state that According to the inequality facts provided, the only choice that must be true is B, because g must be bigger than 1.5. As a result, the solution is: B. g > 1.5

In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. Many basic inequalities may be solved by altering the two sides until just the variables remain. Yet, a lot of factors contribute to inequality: Negative values are split or added on both sides. Exchange left and right.

We know that h > 3 and h - 2g = 0.

When we plug h = 2g into the first inequality, we get:

2g > 3

g > 1.5

As a result, we know that g must be bigger than 1.5, ruling out alternatives C and D.

Option A is not certainly true since we don't know if the value of g is bigger than 2.5.

Option E is also not certainly true, because we only know that g is more than 1.5, but not if it is bigger than 2.

According to the facts provided, the only choice that must be true is B, because g must be bigger than 1.5. As a result, the solution is:

B. g > 1.5

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

Answer:

C - 136

(115+157)/2

Step-by-step explanation:

The following is an equation fo curve if it passes through the point (-2,3) is  y=2 x^2-x-7.

What is Slope?

A graph is a set of vertices—points—and edges—the lines connecting those vertices in discrete mathematics. Graphs come in a variety of forms, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.

Slope of the carne at (x, y) is 4 x-1

Let the curve is: y=2 x^2-x-7

\($$\begin{gathered}\text { Slope: } \frac{d y}{d x}=\frac{d}{d x}\left[2 x^2-x-7\right] \\\frac{d y}{d x}=4 x-1\end{gathered}$$\)

And passes Iowa's the point (-2,3).

\($$\begin{aligned}& y=2 x^2-x-7 \\& 3=2(-2)^2-(-2)-7 \\& 3=8+2-7 \\& 3=10-7 \\& 3=3\end{aligned}$$\)

Satisfied.

y=2 x^2-x-7

To learn more about graph visit:https://brainly.com/question/17267403

#SPJ4

Step-by-step explanation:

c^2 = a^2 + b^2

A

\( \sqrt{40 ^{2} + 30 {}^{2} } = 50\)

B

\( \sqrt{60 {}^{2} - 40 {}^{2} } = 44.7\)