What is the measure of Angle A B C ? 36° 43° 72° 144°

Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

Answer: \(y=\frac{3}{4}x+5.8\)

Step-by-step explanation:

We can think of this as a linear function with the slope being the 3/10 of a mile and the y intercept being the initial amount you can run.

So, using the information about 24 weeks, we get that:

\(13=\frac{3}{10}(24)+b\\\\b=5.8\)

So, the equation is \(y=\frac{3}{4}x+5.8\)

Answer:

(-2,1)

Step-by-step explanation:

The solution of a system of equations is wherever the two lines intersect. So, this is quite easy. We can see they intersect at (-2,1). We can tell it is (-2,1) becuase it is two units left and one units up from the origin.

That is the solution.

(-2,1)

Answer:

The answer is (-2,1). Hope this helps :)

Step-by-step explanation:

The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.

To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.

Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:

For car service A: y_A = 0.60x + 300 (in cents)

For car service B: y_B = 0.75x (in cents)

To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:

0.60x + 300 = 0.75x

Subtracting 0.60x from both sides:

300 = 0.15x

Dividing both sides by 0.15:

x = 300 / 0.15

x = 2000

Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:

y_A = 0.60(2000) + 300

y_A = 1200 + 300

y_A = 1500 cents or $15.00

So, when each car travels 2000 miles, the charges will be equal at $15.00.

For more questions on distance

https://brainly.com/question/28342342

#SPJ8

Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

Answer:

(4, -6)

Step-by-step explanation:

(x1+x2)/2 + (y1+y2)/2 = midpoint

(11+-3)/2 = 8/2 = 4.     x = 4

(-5 + -7)/2 = -12/2.      y = -6

4, -6 is the midpoint

give brainliest please! hope this helps :)

Answer:

1a) Mean = 40

Standard Deviation = 5

b)i Which numbers on the list are within 0.5 SDs of average?

48, 50, 50

ii) within 1.5 SDs of average?

48, 50, 50, 54, 57

2a)Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.

The list with the smaller S.D = (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50

This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.

b) Repeat, for the following two lists.

The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75

This because the results obtained from the second list (i) is close to the mean , therefore, the Standard deviation is small.

Step-by-step explanation:

1a) Find the average and SD of the list 41, 48, 50, 50, 54, 57.

Average (Mean) = Sum of terms/Number of terms

= 41+ 48 + 50 + 50+ 54 + 57/6

= 300/6

= 50

Standard Deviation for the population= √(x - Mean)²/n

=√ (41 - 50)²+ (48- 50)² + (50- 50)² +(50- 50)² + (54 - 50)² +(57- 50)²/6

= √81 + 4 + 0 + 0 + 16 + 49/6

= √150/6

= √25

= 5

(b) Which numbers on the list are within 0.5 SDs of average?

Mean ± Standard deviation × 0.5

50 ± 5 × 0.5

50 - 2.5

= 47.5

50 + 2.5

= 52.5

The numbers on the list are within 0.5 SDs of average are number within 47.5 and 52.5 : 48, 50, 50

ii) Within 1.5 SDs of average?

Mean ± Standard deviation × 1.5

50 ± 5 × 1.5

50 - 7.5

= 42.5

50 + 7.5

= 57.5

The numbers on the list are within 1.5 SDs of average are numbers within 42.5 and 57.5: 48, 50, 50, 54, 57

2 (a) Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.

(i) 50, 40, 60, 30, 70, 25, 75

Mean is already give as 50

Standard Deviation = √(x - mean)²/n

= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n

= √0 + 100 + 100 + 400+ 400 + 625 + 625/7

= √2250/7

= √321.4285714

= 17.92842914

(ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50

Standard deviation = √(x - mean)²/n

√(50 -50)²+(40-50)² + (60 -50)²+ (30-50)² + (70 - 50)²+ (25-50)² +(75-50)² + (50 -50)² + (50 - 50)²+(50 - 50)²/10

= √0 + 100 + 100 + 400 + 400 + 625 + 625 + 0 + 0 + 0/10

√2250/10

√225

= √15

The list with the smaller S.D = Second list (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50

This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.

(b) Repeat, for the following two lists.

(i) 50, 40, 60, 30, 70, 25, 75

Mean is already give as 50

Standard Deviation = √(x - mean)²/n

= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n

= √0 + 100 + 100 + 400+ 400 + 625 + 625/7

= √2250/7

= √321.4285714

= 17.92842914

(ii) 50, 40, 60, 30, 70, 25, 75, 99, 1

Standard Deviation = √(x - mean)²/n

= √(50-50)² +( 40 -50)² +( 60 - 50)² + (30 - 50)²+( 70 - 50)² + (25 - 50)² + (75 - 50)² +(99 - 50)² +(1 -50)²/9

= √0 + 100 + 100 + 400 + 400+ 625 + 625 + 2401 +2401/9

= √7052/9

= √783.5555556

= 27.99206237

The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75

This because the results obtained from the first list(i) is close to the mean , therefore, the Standard deviation is small.

Answer:(-1/2^x)(50000)

Step-by-step explanation:

Answer:

It might be D not sure tho

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

There are 8 ounces in a cup. Multiply 8 three times and 3 three times and add those together. Divide the answer by 8.

Answer:

Angle ABC = 6x

Step-by-step explanation:

this is an isosceles triangle so the values of angle ACB and angle ABC are the same.

Answer:

Lay the net out with the dimensions then multiply for each shape and add all of the areas to get the total surface area of your prism.

Step-by-step explanation:

this is how you work it out with the net

Answer:

You must lay out the net, find the area of each shape and multiply, and then add each dimension.

a. The mass of the apple is approximately 33.879 grams.

b. The volume of the apple increases by approximately 1.454 cubic inches during the five-week period.

a. To find the mass of the apple, we need to calculate its volume first. The circumference of the apple can be used to determine its radius.

The formula for the circumference of a circle is C = 2πr,

where C is the circumference and r is the radius.

Rearranging the formula, we have r = C / (2π).

Plugging in the given circumference of 6 inches.

we get r = 6 / (2π) ≈ 0.955 inches.

Now, we need to convert the radius from inches to centimeters since the density is given in grams per cubic centimeter.

Since 1 inch is approximately 2.54 centimeters, the radius in centimeters is \(0.955 \times 2.54\)  ≈ 2.427 cm.

Next, we can calculate the volume of the apple using the formula for the volume of a sphere: V = (4/3)πr³.

Plugging in the radius in centimeters, we get

V ≈ (4/3)π(2.427)³ ≈ 73.682 cm³.

Finally, we can find the mass of the apple by multiplying the volume by the density:

mass = volume \(\times\) density

= 73.682 cm³ \(\times\) 0.46 g/cm³

≈ 33.879 grams.

Therefore, the mass of the apple is approximately 33.879 grams.  

b. The volume of a sphere increases with the cube of its radius.

Since the radius increases by 1/8 inch per week for five weeks, the change in radius would be\((1/8) \times 5 = 5/8 inch.\)

Now, let's calculate the change in volume during the five-week period. The formula for the volume of a sphere is V = (4/3)πr³.

Initially, the radius was 0.955 inches.

After five weeks, the radius would be 0.955 + 5/8 inches.

To compare the change in volume, we can calculate the new volume and find the difference:

Change in Volume = New Volume - Initial Volume

Initial Volume = (4/3)π(0.955)³

New Volume = (4/3)π(0.955 + 5/8)³

By subtracting the initial volume from the new volume, we can determine how the volume changes during the five-week period.

Please note that the exact calculation will depend on the precise values used for π and the measurements provided.

For similar question on volume.

https://brainly.com/question/12410983

#SPJ11

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

The distribution of a quantitative trait in a population can have important implications for the size and composition of the population over time.

Quantitative traits are characteristics that can be measured and quantified, such as height or weight. These traits often have a normal distribution pattern in large populations, meaning that most individuals fall within a certain range and there are fewer individuals at the extremes.

The normal distribution of a quantitative trait is often represented by a bell curve. This curve shows the frequency of individuals at different values of the trait, with the majority of individuals falling near the middle of the curve and fewer individuals at the extremes. The mean, or average, of the trait is located at the peak of the curve, and the standard deviation determines the width of the curve.

If the distribution shifts to the left, this means that there are fewer individuals with high values of the trait and more individuals with low values. This could occur if there is selective pressure against individuals with high values, or if there is a genetic mutation that affects the trait in a negative way.

As a result, the population size may increase, as individuals with low values of the trait are more likely to survive and reproduce.

Conversely, if the distribution shifts to the right, this means that there are fewer individuals with low values of the trait and more individuals with high values.

This could occur if there is selective pressure in favor of individuals with high values, or if there is a genetic mutation that affects the trait in a positive way.

As a result, the population size may also increase, as individuals with high values of the trait are more likely to survive and reproduce.

To know more about distribution here.

https://brainly.com/question/29062095

#SPJ4

Answer:

not congruent

Step-by-step explanation

only one side has a 90 degree angle

Answer:

1/5525

Step-by-step explanation:

We now that a standard deck has 52 different cards. Also we know that a standard deck has four different suits, i.e., Spades, Hearts, Diamonds and Clubs.  We can find the following cards for each suit: Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.

Now, the probability of getting any of these cards off the top of a standard deck of well-shuffled cards is 1/52. As we have 4 different sixes, we have that the probability of getting a six is 4/52. When we get a six, in the deck only remains 3 sixes and 51 cards, so, the probability of getting another six later is 3/51. When we get the second six, in the deck only remains 2 sixes and 50 cards, so, the probability of getting the third six is 2/50. As we have independet events, we should have that the probability of getting 3 sixes off the top of a standard deck of well-shuffled cards is

(4/52)(3/51)(2/50)=

24/132600=

12/66300=

6/33150=

3/16575=

1/5525

The required probability is 1/5525.

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

We now that a standard deck has 52 different cards.

Also we know that a standard deck has four different suits, i.e., Spades, Hearts, Diamonds and Clubs.  

We can find the following cards for each suit: Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.

Now, the probability of getting any of these cards off the top of a standard deck of well-shuffled cards is 1/52.

As we have 4 different sixes, we have that the probability of getting a six is 4/52.

When we get a six, in the deck only remains 3 sixes and 51 cards, so, the probability of getting another six later is 3/51.

When we get the second six, in the deck only remains 2 sixes and 50 cards, so, the probability of getting the third six is 2/50.

As we have independent events, we should have that the probability of getting 3 sixes off the top of a standard deck of well-shuffled cards is

= (4/52)(3/51)(2/50)

= 24/132600

= 12/66300

= 6/33150

= 3/16575

= 1/5525

Hence the required probability is 1/5525.

Learn more about probability click;

https://brainly.com/question/30034780

#SPJ2

Answer:

\(z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007\)  

Now we can find the p value with the alternative hypothesis and using this probability:

\(p_v =P(z<-1.007)=0.157\)  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47

Step-by-step explanation:

Information given

n=631 represent the random sample selected

X=284 represent the people who said that they thought unemployment would increase

\(\hat p=\frac{284}{631}=0.45\) estimated proportion of people who said that they thought unemployment would increase

\(p_o=0.47\) is the value that we want to test

\(\alpha=0.05\) represent the significance level

z would represent the statistic

\(p_v{/tex} represent the p value

System of hypothesis

We want to verify if the proportion of Australians in November 1997 who believe unemployment would increase is less than the proportion who felt it would increase in July 1997 (0.47), then the system of hypothesis are:  

Null hypothesis:\(p\geq 0.47\)  

Alternative hypothesis:\(p < 0.47\)  

The statistic would be given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007\)  

Now we can find the p value with the alternative hypothesis and using this probability:

\(p_v =P(z<-1.007)=0.157\)  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47

The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.

Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.

From the first statement, we know that:

2x + 6y = 12.30 ---(Equation 1)

From the second statement, we know that:

3x + 2y = 9.70 ---(Equation 2)

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:

6x + 18y = 36.90 ---(Equation 3)

6x + 4y = 19.40 ---(Equation 4)

Subtracting Equation 4 from Equation 3, we get:

14y = 17.50

Dividing both sides by 14, we find:

y = 1.25

Substituting the value of 'y' back into Equation 1, we can solve for 'x':

2x + 6(1.25) = 12.30

2x + 7.50 = 12.30

2x = 4.80

x = 2.40

Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

for such more question on cost

https://brainly.com/question/8993267

#SPJ8

Answer:

8 significant figures should be provided.

Step-by-step explanation:

I believe I am correct, but check your answer anyways.

The correct formula for the slope will be:

m = (100 - 50)/(4 - 2) = 50/2 = 25 . Rafael took the reciprocal of the values.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. Δy and Δx are the net changes in the y and x coordinates, respectively.

So,

m = Δy / Δx

Using the slope-intercept form, as illustrated below, we can quickly get the slope for just a given line:

Y = mx + c can be used to represent a line.

For the stated question:

The slope calculated by Rachel is:

m = (4 - 2) / (100 - 50) = 2/50 = 1/25

Which is incorrect .

Thus, the correct formula for the slope will be:

m = (100 - 50)/(4 - 2) = 50/2 = 25

know more about the slope of the line

https://brainly.com/question/16949303

#SPJ1

9514 1404 393

Answer:

Step-by-step explanation:

1. The slope at any point on the curve can be found by differentiating the function.

  f(x) = 3x^2 +2x -5

  f'(x) = 6x +2 . . . . . derivative of f(x)

  f'(-2) = 6(-2) +2 = -10

The value of the function at x=-2 is ...

  f(-2) = 3(-2)^2 +2(-2) -5 = 3

So, we want the equation of the line with slope -10 through point (-2, 3). In point-slope form, that equation is ...

  y -3 = -10(x +2) . . . . . . . point-slope equation of the tangent

  10x +y +17 = 0 . . . . . . . tangent line in general form

__

2. The slope of the given line can be found by solving for y.

  4y = 15x +8 . . . . . . add 4y

  y = 15/4x +2 . . . . . divide by 4 . . . . . slope is 15/4

The curve has slope ...

  y' = 15x^2

These slopes are equal when ...

  15/4 = 15x^2

  1/4 = x^2

  ±1/2 = x

The corresponding y-values are ...

  y = 5(±1/2)^3 = ±5/8

The points where the tangent to the curve is parallel to the given line are ...

  (-1/2, -5/8), (1/2, 5/8)

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

For such more questions on present value

https://brainly.com/question/30390056

#SPJ8

Answer:

Step-by-step explanation:

X: -2, -1, 0, 1, 2,...

Y: -2, -1, 0, 1, 2,...

(y=x)

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

The area of the shaded part is: 42.14 ft² .

Area = s²

Area = 1/4πr²

Thus:

Area of the shaded part of the figure = area of square - area of quarter circle

Area of shaded part = s² - 1/4πr²

s = 14 ft

r = 14 ft

Substitute

Area of shaded part = 14² - 1/4(3.14)(14²)

= 42.14 ft²

Therefore, the area of the shaded part is: 42.14 ft² .

Learn more about area of square on:

https://brainly.com/question/813881

Answer:

10 units²

Step-by-step explanation:

The shape is a triangle.

The area can be found by multiplying the base (in units) with height (in units) divided by 2.

base = 4 units

height = 5 units

\(\frac{4 \times 5}{2}\)

\(\frac{20}{2} =10\)

Answer:V(t) = C·(0.5)t

Step-by-step explanation:

V(t) = computer's value at year t = 600

C = initial cost = 2100

t = years

The equation that represent the given situation is y = 15x + 70

When she plants 3 stalks, each plant yields 115 ounces of beans

The first point = (3, 115)

When she plants 8 stalks, each plant yields 190 ounces of beans

The second point = (8, 190)

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

Substitute the values in the equation

The slope of the line m = (190-115) / (8-3)

= 75/5

= 15

The point slope form is

\(y-y_1=m(x-x_1)\)

Choose one point and substitute the values in the equation

y - 115 = 15(x - 3)

y - 115 = 15x - 45

y = 15x - 45 + 115

y = 15x + 70

Hence, the equation that represent the given situation is y = 15x + 70

Learn more about slope of the line here

brainly.com/question/16180119

#SPJ1