Factorise x2 - 38x + 72

Answer:

Solution given:

now

base[b]=8

hypotenuse [h]=17

perpendicular [p]=15

by using Pythagoras law

p²+b²=h²

15²+8²=17²

289=289

It satisfied so

AB is a tangent to the circle.

Answer: $(d-3c)

Step-by-step explanation:

Total amount Tina had = $d

Cost of cupcakes = $c

Number of cupcakes purchased = 3

Therefore,

Total cost of cupcakes = cost per cupcake × number of cupcakes

Total cost of cupcakes = $c × 3 = $3c

Amount left after cupcake purchase:

Total amount Tina had - total cost of cupcakes :

$d - $3c

Answer:

98

Step-by-step explanation:

4 * 2 = 8

9 *  10 =  90

90 + 8 = 98

(a) The variable educ might be endogenous

(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation

a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.

The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.

b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.

Learn more about variable here:

https://brainly.com/question/31827960

#SPJ4

Answer:

1 hour 26 Minutes

Step-by-step explanation:

Tanya needs 2 hours to do the job.

Pat needs 5 hours to do this same job.

Tanya's rate  \(=\frac{1}{2}\)

Pat's rate\(=\frac{1}{5}\)

Let the number of hours it will take both of them =x

Rate when two of them work together  \(=\frac{1}{x}\)

Therefore:

\(\frac{1}{2}+\frac{1}{5}=\frac{1}{x}\\$Taking lowest common multiple$\\\frac{5+2}{10}=\frac{1}{x}\\\\\frac{7}{10}=\frac{1}{x}\\\\$Cross multiply$\\7x=10\\x=1.43$ hours\)

\(0.43 X 60 =25.8 \approx 26$ minutes\)

Therefore: 1.43 hour = 1 hour 26 Minutes

It will take both of them approximately 1 hour 26 minutes to  the job.

Answer:

5x + 40

Step-by-step explanation:

At the start, he has 40 tennis balls.

He also buys x amount of boxes which holds 5 tennis balls each

The amount of tennis balls in x number of boxes is 5x

5x + 40 is the number of tennis balls he will have after buying x number of boxes

-Chetan K

Answer:

6632.55

Step-by-step explanation:

P=A*(1+r/100)^x

P=6250*(1+2/100)^3

P=6632.55

Answer:

$6632.55

Step-by-step explanation:

→ Find the multiplier

( 100 + 2 ) ÷ 100 = 1.02

→ Multiply the investment by the multiplier to the power of years

6250 × ( 1.02 )³ = 6632.55

a. The 90% confidence interval for the proportion of all American households who have at least one dog is (0.636, 0.704). This means we can be 90% confident that the true proportion of all American households who have at least one dog lies within this range.

b. The 90% confidence means that if we were to repeat this poll many times with different samples of American households, we would expect 90% of the resulting confidence intervals to contain the true proportion of all American households who have at least one dog

a) To construct a 90% confidence interval for the proportion of all American households who have at least one dog, we can use the following formula:

CI = p ± zsqrt((p(1-p))/n)

where:

CI is the confidence interval

p is the sample proportion (67% or 0.67 in decimal form)

z is the z-score corresponding to the level of confidence (90% or 1.645 for a one-tailed test)

n is the sample size (750)

Plugging in the values, we get:

CI = 0.67 ± 1.645sqrt((0.67(1-0.67))/750)

CI = 0.67 ± 0.034

Therefore, the 90% confidence interval for the proportion of all American households who have at least one dog is (0.636, 0.704). This means we can be 90% confident that the true proportion of all American households who have at least one dog lies within this range.

b) In this context, 90% confidence means that if we were to repeat this poll many times with different samples of American households, we would expect 90% of the resulting confidence intervals to contain the true proportion of all American households who have at least one dog.

In other words, we can be reasonably sure that our sample proportion of 67% is a good estimate of the true proportion, with a margin of error of about 3.4 percentage points, based on the sample size and the level of confidence we have chosen.

Learn more about confidence interval at https://brainly.com/question/23411442

#SPJ11

Among the given options, an R-squared value of 0.5 is the most satisfactory as it indicates a moderate level of relationship between the variables. So, the correct option is b.

R-squared is a statistical measure that represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges from 0 to 1, with 1 indicating a perfect fit and 0 indicating no relationship between the variables.
In this case, an R-squared value of 0.5 means that 50% of the variance in the dependent variable can be explained by the independent variable(s). This is considered a moderate level of explanatory power.

To know more about variance, visit

https://brainly.com/question/33654267

#SPJ11

Answer:

The largest number is 190.

Step-by-step explanation:

Given that,

Two whole numbers add up to 337 and their difference 43.

Let two whole number is x and y.

The sum of two whole number is

\(x+y=337\)

The difference of two whole number is

\(x-y=43\)

We need to calculate the numbers

Using equation (I) and (II)

\(x+y=337\)

\(x-y=43\)

Now, add the equations

\(2x=380\)

\(x=\dfrac{380}{2}\)

\(x=190\)

Put the value of x in equation (I)

\(190+y=337\)

\(y=337-190\)

\(y=147\)

The numbers are 190 and 147.

Hence, The largest number is 190.

Answer:

8%

Step-by-step explanation:

(81-75)/75*100=8%

Answer:i think its 115 degres

Step-by-step explanation:

Step-by-step explanation: Stretches and compression change the slope of a linear function.

If the line becomes steeper, the function has been stretched vertically or compressed horizontally.

If the line becomes flatter, the function has been stretched horizontally or compressed vertically.

Horizontal Stretch/Compression by a factor of b

f(x)→ f(1• f(x→f(1 bx) • b > 1 stretches away from the y-axis.

• 0 < |b| < 1 compresses toward the y-axis.

• y-intercepts remain the same.

Vertical Stretch/Compression by a factor of a

• f(x) → a f(x) • a > 1 stretches away from the x-axis.

• 0 < |a| < 1 compresses toward the x-axis.

• x-intercepts remain the same.Stretches and compression's change the slope of a linear function.

If the line becomes steeper, the function has been stretched vertically or compressed horizontally.

If the line becomes flatter, the function has been stretched horizontally or compressed vertically.

Horizontal Stretch/Compression by a factor of b

• f(x)→f(1 bx) • b > 1 stretches away from the y-axis.

• 0 < |b| < 1 compresses toward the y-axis.

• y-intercepts remain the same.

Vertical Stretch/Compression by a factor of a

• f(x) → a f(x) • a > 1 stretches away from the x-axis.

• 0 < |a| < 1 compresses toward the x-axis.

• x-intercepts remain the same.Stretches and compression change the slope of a linear function.

If the line becomes steeper, the function has been stretched vertically or compressed horizontally.

If the line becomes flatter, the function has been stretched horizontally or compressed vertically.

Horizontal Stretch/Compression by a factor of b

• f(x)→f(1 bx) • b > 1 stretches away from the y-axis.

• 0 < |b| < 1 compresses toward the y-axis.

• y-intercepts remain the same.

Vertical Stretch/Compression by a factor of a

• f(x) → a f(x) • a > 1 stretches away from the x-axis.

• 0 < |a| < 1 compresses toward the x-axis.

• x-intercepts remain the same.

Given: The dimension of the right-trinagle as

To Determine: The second leg of the triangle to the nearest tenth

Solution:

Let us represent the given using a right-triangle

The hypothenuse is the logest side and the side facing the right angle

Applying pythagoras theorem which state that the square of the hypothenuse is equal to the sum of the squares of the other sides

Let the other leg be y

Therefore

Hence, the second leg of the triangle is 20.8 inches rounded to the nearest tenth

Perimeter of square

Perimeter of two sides of triangle:-

Perimeter of circle excluding diameter line

Total perimeter

Answer:

as a percent or certainty?

Answer:

There is a 5/6 chance the dice will not land on 5.

Step-by-step explanation:

There are six sides on the dice and 5 is one out of those six options so we simply eliminate that option subtracting one out of six over all options.

Answer:4 1/6

Step-by-step explanation:

A histogram would be best to use to display this data.

A histogram is a type of graph that displays the distribution of continuous data.

It is a bar graph-like representation of data that buckets a range of outcomes into columns along the x-axis.

The y-axis represents the number of occurrences in the data for each column.

This would be ideal for displaying the distribution of heights of 100 different acacia trees.

To learn more about histogram  refer below:

https://brainly.com/question/17145899

#SPJ11

A scatterplot that shows the number of hours studied on the x-axis and the number of errors on the y-axis would best support the teacher's observation.

Error in math is an incorrect answer to a mathematical equation or problem. It can be caused by a variety of factors, such as inaccurate calculations, misreading instructions, or not understanding the problem. Error in math can be frustrating and can lead to poor grades, but it can also be an opportunity for learning and growth. With the proper guidance and understanding, students can learn from their mistakes and become better mathematicians.

The scatterplot would likely show a negative correlation, with the number of errors decreasing as the number of hours studied increases. This indicates that as students study more, their performance on multiplication tests improves. It could also show an outlier or two, which could indicate that some students are able to learn multiplication facts more quickly than others.

To know more about error click-
https://brainly.com/question/28001423
#SPJ1

\((\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8\)

Answer:

10

Step-by-step explanation:

3(-1)=-3

-3^2=9

9+1=10

a) It is not possible for everyone in a group of 5 friends to have exactly two friends.

b) It is possible for everyone in a group of 5 friends to have exactly three friends.

(a) It is not possible for everyone in a group of 5 friends to have exactly two friends. To see why, suppose that each person has exactly two friends. This means that each person is connected to two other people in the group. If we start at any person in the group, we can follow their connections to the other people in the group.

Since each person has only two friends, the connections will form a chain or loop. However, if we keep following the connections, we will eventually return to the original person, forming a loop. This means that the group must be connected in a loop or chain, but this is impossible with 5 people.

(b) It is possible for everyone in a group of 5 friends to have exactly three friends. One example is the complete graph on 5 vertices, denoted K5, where every vertex is connected to every other vertex. In this graph, every person has exactly 4 friends, since they are connected to all of the other people in the group.

To learn more about possibilities click on,

https://brainly.com/question/8332206

#SPJ4

The number of possible transition probabilities for a Markov chain with 42 possible values is 42 * (42 - 1) = 1,722.

To determine the number of possible transition probabilities for a Markov chain with 42 possible values, we need to consider that each state can transition to any other state, including itself.

In a Markov chain, the transition probabilities represent the probability of moving from one state to another. For a given state, there are 42 possible states it can transition to (including itself), and for each transition, there is a corresponding transition probability.

However, since the transition probabilities must sum to 1 for each state, the last transition probability is determined by the others. Specifically, if we know the probabilities for 41 transitions, the probability for the 42nd transition is determined by subtracting the sum of the other probabilities from 1.

Therefore, the number of possible transition probabilities for a Markov chain with 42 possible values is 42 * (42 - 1) = 1,722.

Hence, the correct answer is NOT 6, but 1,722.

know more about transition probabilities

https://brainly.com/question/32638371

#SPJ11

\(f(x) =4 x {}^{3} - 4x {}^{2} - 16x + 16\)

\(divide \: by \: x - 2\)

\(4x {}^{2} \: into \: (x - 2) = 4x {}^{3} - 8x {}^{2} \)

\(g(x) = 4x {}^{2} - 16x + 16\)

\(4x \: into \: (x - 2) = 4x {}^{2} - 8x\)

\(z(x) = - 8x + 16\)

\( - 8 \: into \: (x - 2) = - 8x + 16 \\ no \: remainder\)

\(f(x) = (x - 2)(4x {}^{2} + 4x - 8)\)

\(f(x) = 0 \\ x - 2 = 0 \: \: \: \: \: \: \: \: \: 4x {}^{2} + 4x - 8 = 0 \\ \)

\(x = \frac{ - 4 + \sqrt{4 {}^{2} - 4(4)( - 8) } }{2(4)} = \frac{ - 4 + \sqrt{144} }{8} = \frac{ - 4 + 12}{8} = 1\)

\(x = 2\)

\(x = \frac{ - 4 - 12}{8} = \frac{ - 16}{8} = - 2\)

Answer: B

Step-by-step explanation:

Edge 2023

Answer:

80

Step-by-step explanation:

5x8 hats=40/8 yard which equals 5 yards cause 40/8=5

So you know that 5 yards can make 8 hats.

Then do 5x16 because 10 yards is double the size as 5 to get 80.

GIVEN:

We are told that Karen bought 2 jackets, 2 blouses and 2 skirts.

If she wears a jacket-blouse-skirt combination each day,

Required;

How many combinations can she wear using her new items of clothing?

Step-by-step solution;

For the items of cloting that she has, Karen can wear 2 jackets with any blouse-skirt combination. Also, she can wear 2 blouses with any jacket-skirt combination. And then she can wear 2 skirts with any jacket-blouse combination.

In other words, she can combine all items of clothing as follows;

ANSWER:

The correct answer is option D.

Karen has 8 different combinations

Answer:

4 / 3

Step-by-step explanation:

tan x = opposite / adjacent

tan x = AB / AC

tan x = 4 / 3

{ x = theta ]

9514 1404 393

Answer:

  tan(θ) = 4/3

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

Then ...

  tan(θ) = AB/AC

  tan(θ) = 4/3