Write an expression equivalent to

Answer:

it is just 1 good lord

Answer:

The answer is D: 30 g.

Step-by-step explanation: I googled the answer to this question and it said that NHS reccomends that adults take around 30 g of fibre as a daily dose. If you take less, you may not get enough, but if you take more, you would possibly overdose. So, the answer is D: 30g.

Answer:

Assumes only specified values in an interval

Step-by-step explanation:

I remember learning this AP math class. A random variable is said to be discrete if it has assumed only specified values in an interval. If not it is continuos.

Answer:

f(0) = 3x : 0

f(1) = 3x : 3

f(2) = 3x : 6

f(3) = 3x : 9

Step-by-step explanation:

the point estimate of the difference between the proportion of current smokers in 1991 and 2003 is 0.042, or 4.2 percentage points.

To find a point estimate of the difference between the proportion of current smokers in 1991 and 2003, we first need to calculate the sample proportions of current smokers for each year.

In 1991, the sample proportion of current smokers is given as 25.6%, or 0.256 in decimal form. We can calculate the number of current smokers in the sample as:

number of current smokers = 0.256 x 42,000 = 10,752

In 2003, the sample proportion of current smokers is given as 21.4%, or 0.214 in decimal form. We can calculate the number of current smokers in the sample as:

number of current smokers = 0.214 x 33,326 = 7,140.764

Since the number of current smokers must be a whole number, we round this value to the nearest integer and obtain:

number of current smokers = 7,141

Next, we can calculate the sample sizes for each year:

sample size in 1991 = 42,000

sample size in 2003 = 33,326

Using these values, we can now calculate the sample proportions of current smokers for each year:

sample proportion in 1991 = number of current smokers / sample size in 1991 = 10,752 / 42,000 ≈ 0.256

sample proportion in 2003 = number of current smokers / sample size in 2003 = 7,141 / 33,326 ≈ 0.214

Finally, the point estimate of the difference between the two sample proportions is obtained by subtracting the sample proportion in 2003 from the sample proportion in 1991:

point estimate = sample proportion in 1991 - sample proportion in 2003 = 0.256 - 0.214 = 0.042

Therefore, the point estimate of the difference between the proportion of current smokers in 1991 and 2003 is 0.042, or 4.2 percentage points.

This suggests that there has been a decrease in the proportion of current smokers between 1991 and 2003. However, we need to conduct a hypothesis test to determine whether this difference is statistically significant or could have occurred by chance.

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Answer:

The answer is B.

Step-by-step explanation:

  r + 56 ÷ t · 5

= 32 + 56 ÷ 8 · 5

= 32 + 7 · 5

= 32 + 35

= 67

The graph that represents f(x) is \(f(x) = 12000(0.88)^x\) with a horizontal asymptote at x = 0.

The given parameters are:

\(a = 12000\) --- the initial value of the car

\(r = 12\%\) -- the loss per year

The estimation is an illustration of an exponential function.

An exponential function is represented as:

\(y = a(1 -r)^x\)

Rewrite as a function

\(f(x) = a(1 -r)^x\)

Substitute values for (a) and (r)

\(f(x) = 12000(1 -12\%)^x\)

Express 12% as decimal

\(f(x) = 12000(1 -0.12)^x\)

Subtract 0.12 from 1

\(f(x) = 12000(0.88)^x\)

The graph of f(x) has a horizontal asymptote at x = 0.

Hence, the graph that represents f(x) is \(f(x) = 12000(0.88)^x\) with a horizontal asymptote at x = 0.

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Answer:

24°

Step-by-step explanation:

Check file attatched! :D

(sorry for sloppy/etc writing haha, it's hard with a mouse lol)

\(\\ \sf\longmapsto <CBD=<ABD=96°\)

Now

\(\\ \sf\longmapsto m<EBD=\dfrac{1}{2}m<CBD\)

\(\\ \sf\longmapsto m<EBD=\dfrac{96}{2}\)

\(\\ \sf\longmapsto m<EBD=48\)

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

3 to 7

9 to 21

12 to 28

Step-by-step explanation:

6/14 is also equal to 6 to 14 or 6:14

it hard to tell what you are saying, but if we know what the other number is, then expression.

The general indefinite integral of ∫(√x³+³√x²)dx is \(2(x^{5/2} )/5 + 3(x^{5/3} )/5\) + c , where c is an arbitrary constant.

Integral calculus is the branch of calculus that deals with integrals and its properties. Integration is also known as anti derivative.

An indefinite integral does not consist of any upper or lower limit and hence is indefinite in nature.

We can calculate the general indefinite integral,

∫(√x³+³√x²)dx

Rewriting the integral using power rule we get,

∫(√x³+³√x²)dx = ∫ { \((x^{3})^{1/2} + (x^{2})^{1/3}\) dx

= ∫\((x^{3/2} )+ (x^{2/3} )\) dx

We can split the above indefinite integral as,

= ∫\((x^{3/2} )\) dx + ∫\((x^{2/3} )\) dx

= \((x^{5/2} )/(5/2) + (x^{5/3} )/(5/3)\) + c

where c is an arbitrary constant

= \(2(x^{5/2} )/5 + 3(x^{5/3} )/5\) + c

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

Answer:

x = 7

Step-by-step explanation:

since 2 sides are congruent, then the triangle is isosceles with base angles being congruent , both (9x - 25)

the sum of the 3 angles in the triangle = 180° , that is

9x - 25 + 9x - 25 + 104 = 180

18x + 54 = 180 ( subtract 54 from both sides )

18x = 126 ( divide both sides by 18 )

x = 7

Answer:

Width = 9.5

Step-by-step explanation:

Step 1:

Length + Length + Width + Width = Perimeter

Step 2:

12.4 + 12.4 + w + w = 43.8

Step 3:

24.8 + 2w = 43.8

Step 4:

2w = 19

Answer:

Width = 9.5

Hope This Helps :)

happy belated birthday!

Answer:

1. (c) 268

2. (d) above the 3rd quarter

3. (a) 210

4. (c) 240 pounds to 300 pounds

I hope this helps you

Answer:

1/100

Step-by-step explanation:

I'm pretty sure that it would be a 1/100 chance, because if you draw one marble out of the bag then the chance of you getting a yellow marble is a 1/10 chance. If you put that same marble back into the bag and then draw again the chances of getting a yellow marble are 1/10. The probability of drawing two yellow marbles would be 1/100 since you would just multiply the two probabilities together, 1/10 multiplied by 1/10.

I'm not 100% sure but I hope this helped a little bit!  

Hi! So you have 10 total marbles, 2 yellow, 3 red, and 5 blue. That means that you have a 2 in 10 chance of drawing a yellow, 3 in 10 of drawing a red, and 5 in 10 (or 1 in 2, they're equivalent) of drawing red. Again, the probability of drawing a yellow the first time is a 2 in 10 (or a 1 in 5, equivalent). As the questions says, you multiply the probability of the first even (2/10 or 1/5) by the second (2/10 or 1/5 again because you put the marble back). Doing this you would get 1/25. (You can use a calculator like I did, but I can explain the multiplying more detailed if you want)

Answer:

The measure of angle 7 is 155*.

Step-by-step explanation:

Area (ABC) is measured as Area (PQR), which equals 16:25.

To locate,

Area (ABC) is measured as: (PQR).

Solution,

This mathematical issue can easily resolved by utilising the procedure outlined below:

According to the "Area of Similar Triangles Theorem" in mathematics,

When two triangles are similar, their area ratios are proportional to the square of the ratio of the respective sides.

{Statement-1}

In light of the query and assertion 1, we can state,

Area (ABC) is measured as: (PQR)

= (AB: PQ), (BC: QR), and (AC: PR)

= (4:5)2 = (4/5)2

= 16/25 = 16:25

As a result, Area (ABC): Area (PQR) is measured at 16:25.

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Graph can be sketched on the basis of below points:

1) Intercepts

2) intervals of increasing and decreasing

3) local maxima and local minima

4) Intervals of concavity up or down

5) Inflexion points .

Given

Polynomial:

x³ – x² - 8x

Now,

1)

Intercepts:

For calculating y intercept of the polynomial,

y = f(0)

y = 0

Hence the y intercept will be (0,0)

For calculating x intercept:

x³ – x² - 8x = 0

x(x² -x -8) = 0

x = 0

x = (1 ± √33) / 2

2)

For intervals of increasing and decreasing check the derivative of function:

If f'(x) > 0 the function will be increasing

If f'(x)< 0 the function will be decreasing

Here,

f'(x) = 3x² -2x - 8

3)

Local maxima and local minima:

f'(x) = 0

3x² -2x - 8 = 0

x = 2

x = -4/3

Second derivative test:

f''(x) = 6x - 2

At,

x = 2

f''(x) = 10

x = -4/3

f''(x) = -10

Hence point x = 2 is the point of local minima and point x = -4/3 is a point of local maxima .

4)

Inflection points :

f''(x) = 0

6x - 2 = 0

x = 1/3

To check x = 1/3

Put

x = 0

x = 1

f''(0) = -2(negative)

f''(1) = 4(positive)

Hence proved .

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The null hypothesis is: null is 1.32
The alternative hypothesis is: null is greater than 1.32
The test statistic is: a. 4.065
The critical value is: a. qt(p=0.975, df=49) = 2.009

In this scenario, the null hypothesis (H0) is that the average number of people an infected child infects is equal to the average number of people an infected adult infects, which is 1.32. The alternative hypothesis (H1) is that an infected child infects more people than an infected adult, so the average is greater than 1.32.

To calculate the test statistic, we use the t-test formula: (sample mean - population mean) / (sample standard deviation / sqrt(sample size)). In this case, it would be (1.55 - 1.32) / (0.8 / sqrt(50)), resulting in a test statistic of 4.065.

To find the critical value, we use the t-distribution table with a significance level of 0.05 and degrees of freedom equal to the sample size minus 1 (50 - 1 = 49). The critical value is found by looking up the value of qt(p=0.975, df=49), which is 2.009.

Since the test statistic (4.065) is greater than the critical value (2.009), we reject the null hypothesis in favor of the alternative hypothesis. This means that there is significant evidence to suggest that, on average, an infected child in school infects more people than an infected working adult does.

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The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .

Here's how to solve for the average rate of return:

Total income = $382,000

Residual value = $69,000

Total cost = $695,000

Total profit = Total income + Residual value - Total cost

Total profit = $382,000 + $69,000 - $695,000

Total profit = -$244,000

The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.

Average rate of return = Total profit / Total investment x 100

Average rate of return = -$244,000 / $695,000 x 100

Average rate of return = -0.3518 x 100

Average rate of return = -35.18%

Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.

Average rate of return = Absolute value of (-35.18%)

Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.

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Answer:

no sorry

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because -1 8/21 is irrational

Option c,  4x(2x5)=(4x2)x5 exemplifies the associative property of multiplication

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