The measure of <1 =

040
160
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Answer:

33

Step-by-step explanation:

Answer:

-34

Step-by-step explanation:

Solving in steps

Question given:

Find x.

x+45=11

Answer: 34

x+45 = 11

⇒x = 11-45

⇒x = -34

.°. x = -34

LHS :

x+45

→ -34+45

→ 11

→ RHS

LHS = RHS

Hence, x = -34 is the correct answer.

\(\rm\blue{So,done!}\)

Answer:

B

Step-by-step explanation:

In a case whereby Andrea exchanged $500 for 442 euros the two statements based on this currency exchange in nearest hundredth is

The concept that is been used here is the conversion rate,

we were given that  $500 = 442 euros

                                 $1 = X euros

X= 442/500 = 0.884euro

then, 1 dollar = 0.884euro

where X is the value of the currencey in euro

Then to calculate the value of 1 dollar, it will be calculated as ;

$500 = 442 euros

  X $ = 1 euros

X= 500/442= $1.131

then 1 euro =1.131 dollars

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We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

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The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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Answer:

27.50

Step-by-step explanation:

Answer:

2 2/3 - 1 3/4 = 11/12

Step-by-step explanation:

You could convert them both to improper fractions then you would make them have common denominators so the least common denominator for the would be 12 so you would multiply them and then you would subtract them to get your answer of 11/12.

2 2/3 = 8/3 times 4 = 32/12

1 3/4 = 7/4 times 3 = 21/12

32/12 - 21/12 = 11/12

Answer:

1/36

Step-by-step explanation:

6^-2 = 1/6^2 = 1/36.

Answer:

The answer is C (2:1)

Step-by-step explanation:

1. The greatest common factor of 8 and 4, is 4. We need to divide both numbers by the GCM, 4.

8 / 4 = 2

4 / 4 = 1

Therefore, the answer is 2:1 (C)

The solutions to the equation 8x^3 - 1 = 0 are x = 1/2, x = (-2 + 2√2i)/8, and x = (-2 - 2√2i)/8.None of the given Values is NOT a solution of the equation.

The solution(s) of the equation 8x^3 - 1 = 0, we need to determine the values of x that satisfy the equation. We can solve this equation by setting it equal to zero and factoring:

8x^3 - 1 = 0

(2x)^3 - 1^3 = 0

(2x - 1)(4x^2 + 2x + 1) = 0

Now we can find the values of x that make each factor equal to zero:

2x - 1 = 0

x = 1/2

4x^2 + 2x + 1 = 0

Using the quadratic formula, we can solve for x and find two additional solutions:

x = (-2 ± √(-8))/8

x = (-2 ± 2√2i)/8

Therefore, the solutions to the equation 8x^3 - 1 = 0 are x = 1/2, x = (-2 + 2√2i)/8, and x = (-2 - 2√2i)/8.None of the given values is NOT a solution of the equation.

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The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

Step-by-step explanation:

You want the center, radius, and equations in standard form and general form for the circle shown in the graph.

The center is the point marked. Its coordinates are ...

  (x, y) = (2, -1)

The radius is the distance from the center to any point on the circle. It is usually convenient to read the radius on a graph by considering points on the same horizontal or vertical line as the center of the circle.

Here, the circle passes through point (6, -1), so the radius is 6 -2 = 4.

The radius is 4 units.

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

For center (2, -1) and radius 4, this is ...

  (x -2)² +(y +1)² = 16 . . . . standard form equation

The general form of a polynomial equation is f(x, y) = 0, with the terms listed in lexicographical order by decreasing degree. This is found from the standard form by expanding it, combining terms, and arranging them in the required order:

  (x -2)² +(y +1)² = 16 . . . . . standard form

  x² -4x +4 +y² +2y +1 -16 = 0 . . . . . eliminate parentheses, subtract 16

  x² +y² -4x +2y -11 = 0 . . . . general form equation

Answer:

let the number be x

then

4x-3= x+24

4x-x=24+3

3x=27

x=3

Step-by-step explanation:

Answer:

74.8 m²

Step-by-step explanation:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Area of a triangle} \\\\$A=\dfrac{1}{2}ab \sin C$\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides enclosing the angle. \\\end{minipage}}\)

From inspection of the given triangle:

Substitute the values into the formula and solve for area:

\(\implies A=\dfrac{1}{2} \cdot 11 \cdot 15 \cdot \sin 115^{\circ}\)

\(\implies A=\dfrac{165}{2} \sin 115^{\circ}\)

\(\implies A=74.77039243\)

\(\implies A=74.8\; \sf m^2\;(nearest\;tenth)\)

Therefore, the area of the triangle is 74.8 m² rounded to the nearest tenth.

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

b

Step-by-step explanation:

Both the triangles of the given figure are similar to each other by SAS

( Side angle Side ) the property of corresponding sides are in proportion and included angle of both the triangles is right angle.

Slope of the both the triangles is (-3/2) .

As given in the question,

For the given diagram of the two triangles,

To prove : Both the triangles are similar to each other.

Side length of the corresponding sides of both the triangles :

Altitude of :

Small triangle : 6 - 3 = 3 units

Big triangle : 3 - (-3) = 6 units

Base :

Small triangle : -2 + 4 = 2 units

Big triangle : 2 - (-2) = 4 units

Corresponding sides are in proportion:

( 3/6) = 1/2 = ( 2 / 4)

And the included between the two sides is equal to 90° ( right angle ).

By SAS ( Side angle Side ) theorem,

Both the triangles are similar to each other.

Now slope of :

Small triangle is equal to,

Consider two end points ( -4, 6) and ( -2 , 3)

Slope = ( 3 -6)/ (-2 + 4)

          = -3/2

Big triangle is equal to,

Consider two end points ( -2, 3) and ( 2 , -3)

Slope = ( -3 -3)/ ( 2 + 2)

          = -6 /4

          = -3/2

Therefore, both the triangles of the given figure are similar to each other by SAS

( Side angle Side ) the property of corresponding sides are in proportion and included angle of both the triangles is right angle.

Slope of the both the triangles is (-3/2) .

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It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

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Answer:

-23

Step-by-step explanation:

Any number multiplied by 1 is the same

*17-(-30)x1+1-71

=17+30+1-71

=47+1-71

=48-71

=-23

Step-by-step explanation:

17-(-13)1+1-71=

17+13×1+1-71=

17+13+1-71=

30+1-71=

31-71=

=-40

Answer:

7.49

Step-by-step explanation:

just add it up

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

D. No x-intercept, y-intercept 9

Step-by-step explanation:

The line intercepts at (0, 9)

Answer:

Hypergeometric distribution

Step-by-step explanation:

The hypergeometric distribution is the type of geometric distribution that best describes this problem.

The hypergeometric distribution is a distribution function where weake selections from 2 groups and by doing so no members of the groups are replaced. The 2 groups are the two sections of probability and statistics.

Answer:

D

Step-by-step explanation:

do you want an explanation?

btw, plz brainliest :)

Because here there are 5 zeroes so 0.00003 can be written as 3/100000 , here 100000 = 10⁵ . Now , 3/10⁵ → 3 × 1/10⁵ → 3 × 10-⁵

Hence , 0.00003 = 3 × 10-⁵ . So it is -5

Answer:

answer is A

Step-by-step explanation:

Answer: 108 pancakes

Step-by-step explanation:

if you make 20 pancakes with  1 and 2/3 of flour,

with 9 cups you will make

(20*9)/ 1 &2/3

1  2/3= 5/3 we enter the whole in the fraction

(180)/(5/3)= 180*3/5=108 pancakes