Alexander owes $17.75 to his friend. He borrows $6.50 more from his friend. Which of the following numbers best represents Alexander’s total debt?

Answer:

1708.14 rounded

Step-by-step explanation:

Y= a•b^x

5.5% = 0.055

1+0.055=1.055

Y= 1000•1.055^10

Y= 1708.14

Answer:

f⁻¹(y) = y^(-7/17)

Step-by-step explanation:

f(x) = x^(-17/7)

To find the inverse, switch x and y, and solve for y.

x = y^(-17/7)

x^(-7/17) = y

Therefore, f⁻¹(y) = y^(-7/17).

Answer:

Step-by-step explanation: To find the mean of the dot plot, you will need to add all of the dots together.

For example: Above 2, there are 3 dots , so you would need to multiply 2 by three to get 6 dots above the number 2.

Do that for all of the numbers on the dot graph from 1 - 6, and you will have this equation:

1 + 6 + 18 + 20 + 15 + 12

Next, you will need to add all those numbers together and you will get 72.

Lastly, divide by how many numbers there are, and there are 6 numbers.

So, that will be 72/6 which is 12.

Your answer will be 12.

Answer:

The answer is C inconsistent

Step-by-step explanation:

Answer:

its not

Step-by-step explanation:

because the x equals 4 so it will be 4+3+4=9 because 3+4 equals 5 so you add 4 and get 9

Answer: You got 80% right

Step-by-step explanation: 100÷20=5     5×16=80

PLEASE MARK ME BRAINLIEST

80% got the right answers out of 20 questions.

percentage, a relative value indicating hundredth parts of any quantity.

The number of questions are twenty 20.

Out of this 20 questions 16 questions are correct.

We need to find the percentage of the right answers.

20x=16

Divide both sides by 20

x=16/20

x=0.8

Now to find the percentage multiply x value with 100 as it is a hundredth part.

0.8×100=80%

Hence, 80% got the right answers out of 20 questions.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

9991

Step-by-step explanation:

103 × 97

(100 +3) (50+47)

get two number which you can add to get the value in the question

n then expand

100(50+47) +3(50+47)

5000+4700+150+141

9991

Answer:

45°

Step-by-step explanation:

First, find the measure of each interior angle of the octagon.

Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]

Where, n = 8.

Plug in the value of n into the formula

[tex] = \frac{(8 - 2)180}{8} [/tex]

[tex] = \frac{(6)180}{8} [/tex]

[tex] = \frac{1,080}{8} = 135 [/tex]

x = 180 - 135 (straight line theorem.)

x = 45°

Answer:

125 boys, 90 girls and 20 adults

Step-by-step explanation:

Let the number of boys be x

Let the number of girls be y

Let the number of adults be z

If there are 235 people at the summer camp, then;

x + y+ z = 235 ..... 1

If there are 35 more boys than girls, then;

x = y + 35 .... 2

If there are 70 fewer adults than girls then;

y = z - 70

z = y - 70....3

Substitute 2 and 3 into 1;

x + y+ z = 235 ..

(y+35)+y+(y-70) =235

3y -35 = 235

3y = 270

3y/3 = 270/3

y = 90

Since x = y + 35

x = 90 + 35

x = 125

Also z = y - 70

z = 90+70

z = 20

There are 125 boys, 90 girls and 20 adults

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

ç sir kasi multiplication gamitinnnyan

Answer:

A

Step-by-step explanation:

Find the area of the square

Area = s^2

s = 8

Area = 64 square feet.

Find the area of 1 circle.

r = d / 2

r = 4 / 2

r = 2

Area of 1 circle = pi r^2

Area of 1 circle = 3.14 * 2^2

Area of 1 circle = 12.56

Area of 4 circles

Area of 4 circles = 4 * 12.56

Area of 4 circles = 50.24

Area of unshaded area

Area of unshaded area = area square - area 4 circles.

Area of unshaded area = 64 - 50.24

Area of unshaded area = 13.76

Answer:

4+4 = 8.

Step-by-step explanation:

Or 44, depends on whether you're trolling. XD

Hope this helped...

[tex] \huge \: Your \: answer \: is \: 8[/tex]

Answer:

The diagram can't be seen

Step-by-step explanation:

.... Sry.. I can't solve this one... I can't see the diagram

Answer:

The probability is 0.173

Step-by-step explanation:

The probability is of winning is 0.75 = 75/100 = 3/4

This means that the probability of losing is 0.25 = 25/100 = 1/4

So if they are two win 4 games, they will lose three

We can get this probability using the Bernoulli approximation of the binomial theorem

So here, we have

P(X = 4) = 7 C 4 * 0.75^4 * 0.25^3

= 0.173034667969

which is approximately 0.1730

Answer:

YEEYEE

Step-by-step explanation:

Answer:

answer: 15, 28, 20, 36, 21, 18

Answer: Yes, if there is no number in front of a variable(or letter, as you said), it is actually 1.

a = 1a

x^2 = 1x^2

2m + n = 0 means 2m + 1n = 0

Step-by-step explanation:

Answer:

12²

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

12² + 10 × 2 - (9 + 6) ÷ 5

Step 2: Steps

We do parenthesis first, so (9 + 6) is the first thing we do.

The next thing we do is exponents (according to BPEMDAS), so we do 12².

Answer:

Following PEMDAS

Next step : Exponents

Next step : Multiplication

Next step : Division

Next step : Addition

Next step : Subtraction

Step-by-step explanation:

12²+10×2-(9+6)÷5

Open parentheses

12²+10×2-15÷5

Exponents : 12²= 144

144+10×2-15÷5

Multiplication : 10×2=20

144+20-15÷5

Division : -15÷5= -3

144+20-3

Add :144+20=164

164-3

Subtract

= 161

Answer:

8

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

(1)

The hypothesis can be defined as follows:

H₀: The Speedy Oil Change will change the oil in​ customers’ cars in more than 30 minutes on average, i.e. μ > 30.

Hₐ: The Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average, i.e. μ ≤ 30.

(2)

Use Excel to compute the sample mean and standard deviation as follows:

[tex]\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683[/tex]

Compute the test statistic as follows:

[tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51[/tex]

The degrees of freedom is:

df = n - 1

   = 36 - 1

   = 35

Compute the p-value as follows:

[tex]p-value=P(t_{35}<3.51)=0.0006[/tex]

(3)

The p-value = 0.0006 is very small.

The null hypothesis will be rejected at any of the commonly used significance level.

(4)

There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average.

Using the t-distribution, we have that:

1.

The null hypothesis is [tex]H_0: \mu \geq 30[/tex]

The alternative hypothesis is [tex]H_1: \mu < 30[/tex]

2. The test statistic is t = 3.51.

3. The p-value is of 0.0063.

4. Since the p-value is of less than the standard significance level of 0.05, we reject the null hypothesis, and can conclude that the company is fulfilling its promise.

Item 1:

At the null hypothesis, we test if the mean is of at least 30 minutes, that is:

[tex]H_0: \mu \geq 30[/tex]

At the alternative hypothesis, we test if the mean is of less than 30, that is:

[tex]H_1: \mu < 30[/tex]

Item 2:

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

For this problem:

The test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{24.92 - 30}{\frac{8.68}{\sqrt{36}}}[/tex]

[tx]t = 3.51[/tex]

The test statistic is t = 3.51.

Item 3:

The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with t = 3.51 and 36 - 1 = 35 df.

Using a calculator, this p-value is of 0.0063.

Item 4:

Since the p-value is of less than the standard significance level of 0.05, we reject the null hypothesis, and can conclude that the company is fulfilling its promise.

A similar problem is given at https://brainly.com/question/16194574

9514 1404 393

Answer:

  150 Wh

Step-by-step explanation:

We know the energy per bulb is 10 Wh per hour, so the total energy used by 3 bulbs in 5 hours is ...

  (10 Wh/(bulb·hour))×(3 bulbs)×(5 hours) = 10·3·5 Wh = 150 Wh

Answer:

3

Step-by-step explanation:

1/2+5/2=    6/2=    3/1=       3

I hope this helps you and good luck!

Answer:

y = -2x + 5

Step-by-step explanation:

Given:

Passes through point (1, 3)

Perpendicular to x – 2y = -8

Solve:

x – 2y = -8

y = 1/2x + 4

The slope is m = 1/2

The slope of the perpendicular line is the inverse of the slope of the original equation.

The slope of the inverse equation is m = -2.

Making an inverse equation of y = -2x + a

Find a:

Use point, (1, 3) where (x, y):

3 = (-2)*(1) + a

a = 5

y = -2x + 5

Answer:

y=½x+5

Step-by-step explanation:

Passes through, (1,3)

Perpendicular to x-2y=-8.

Step 1

write the equation in form of y=mx+c

x-2y=8

-2y=-x+8

Dividing both sides of the equation by -2 we get;

y=-x/2+8

y=-½x+8

Thus the gradient is -½. Call it M1

Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e

M1 × M2= -1

Solve for M2

-½×M2=-1.

Dividing both sides by -½ we get

M2=-1×-2

Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8

Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).

Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.

Slope=∆x/∆y

M2=(x-1)/(y-3)

but M2 is 2

2=(x-1)/(y-3)

2/1=(x-1)/(y-3) Note: 2= 2/1

Cross multiplying we get:

2(y-3)=1(x-1)

Open the brackets

2y-6=x-1

Solve for y so as to write the equation in form of y=mx+c

2y=x-1 +6

2y=x+5

Divide both sides of the equation by 2

y=x/2+5

Answer:

the slope would be the same as line b

Step-by-step explanation:

the slope would be the same as line b because they are both perpendicular to line a, meaning they both have the same slope.

Answer:

mc= 1

Step-by-step explanation:

correct on edge 2020

Answer:

x = 15°

x = 135°

x = -45°

x = -180°

Step-by-step explanation:

Trigonometric Equations

Solve

cos(2x + 30°) = 0.5 for -180° ≤ x ≤ 180°

Applying the inverse cosine function:

2x + 30° = arccos(0.5)

There are several angles whose cosine is 0.5. They are 60°, 300°, -60° and -300°, thus we have these candidate solutions:

2x + 30° = 60°

2x + 30° = 300°

2x + 30° = -60°

2x + 30° = -300°

Subtracting 30° to all the equations:

2x = 60° - 30° = 30°

2x = 300° - 30° = 270°

2x = -60° - 30° = -90°

2x = -60° - 300° = -360°

Dividing by 2 we have the complete set of solutions:

x = 15°

x = 135°

x = -45°

x = -180°

Answer:

D. 7.56

Step-by-step explanation:

First we can see it has a less than symbol meaning whatever we put has to be less than the first number.

So the only number less than 7.68 is 7.65!

Answer:

D

Step-by-step explanation:

The number we're dealing with is 7.68.

the symbol means that whatever number comes after it is less than 7.68. So, we look at the other numbers to see if they're bigger than 7.68.

8.81 is bigger than 7.68.

8.68 is bigger than 7.68.

7.86 is bigger than 7.68.

7.56 is smaller than 7.68.

Answer:

X=37/64

Step-by-step explanation:

64x=37

x=37/64

Answer:

The radius of the circle is: 4.09 cm

Step-by-step explanation:

Assuming the shape to be a circle.

The perimeter of a circle is called circumference and is given by the formula.

[tex]C = 2\pi r[/tex]

For the time being, we know

[tex]\pi = 3.142\\C = 25.71cm[/tex]

Putting the values in the formula we get: as x is the radius

[tex]25.71 = 2 * 3.142 * x\\25.71 = 6.284x\\x = \frac{25.71}{6.284}\\x = 4.09\ cm[/tex]

Hence,

The radius of the circle is: 4.09 cm

Answer:

the remainder is 5. 2,786 R 5