what is the value of x?​

Answer:

18 3/4

Step-by-step explanation:

Solve {(32)-3/4)3/4}4/5

Expand the inner parenthesis

{(32)-3/4)3/4}4/5

= {3/4(32) - (3/4)(3/4)}*4/5

= {3(8)- 9/16} * 4/5

= {24 - 9/16}* 4/5

= 4/5(24) - 4/5(9/16)

= 96/5 - 36/80

= 96/5 - 9/20

Fine the LCM

= 96(4)-9/20

= (384-9)/20

= 375/20

= 18 15/20

= 18 3/4

Hence the required result is 18 3/4

Answer:

-16r^2 - 10r

Step-by-step explanation:

all you got to do is distribute

Answer:

800

Step-by-step explanation:

9 goes into 72 eight times, nine goes into 0 zero times

The complete statement is as follows:

The quotient of, 7200/9 = 800.

Quotient is the result which we get by dividing the one number by the other.

Where, the number which is getting divided is known as 'dividend'  and the number which divides the dividend is known as 'divisor'.

So,

Quotient = Dividend ÷ Divisor.

Or,

\(\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}\)

In 7200÷9, 7200 is dividend and 9 is divisor. We have to find the quotient.

Applying the division on 7200 by 9.

Since, 9 is very less than 72. Take the first 2 digits.

72÷9 = 8

There is no remainder.

Now, take three digits:

720÷9 = 80

Still no remainder is here.

Move to the last digit (0) and apply division.

7200÷9 = 800

No remainder is there.

That means the quotient of, 7200 divided by 9 is 800.

Hence, the quotient of 7200/9 = 800.

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The ratio of the horizontal change to the vertical change of a line would not be used to describe a slope. Thus the correct option is option C.

The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) of a line.

Slope=Vertical Change/Horizontal Change

This is also represented as the "ratio of rise to run of a line".

Slope=Rise/Run

In the given question, however, option C states that the "ratio of the horizontal change to the vertical change of a line".

Horizontal Change/ Vertical Change= 1/slope

This is an incorrect statement since the ratio of the horizontal change to the vertical change of a line is the reciprocal of the correct ratio.

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Answer:

\(\frac{5}{24}\)

Step-by-step explanation:

I think that 38 means \(\frac{3}{8}\)

\(\frac{3}{8}\) + \(\frac{5}{12}\)  To add we need a common denominator.  That number would be 24

\(\frac{3}{8}\) x \(\frac{3}{3}\) = \(\frac{9}{24}\)

\(\frac{5}{12}\) x \(\frac{2}{2}\) = \(\frac{10}{24}\)

\(\frac{9}{24}\) + \(\frac{10}{24}\) = \(\frac{19}{24}\)  This is how much of the book has been read.

\(\frac{24}{24}\)  This would represent the total amount of the book

\(\frac{24}{24}\) - \(\frac{19}{24}\) = \(\frac{5}{24}\)  This is the amount of the book that needs to be read to finish the book.

Helping in the name of Jesus.

the logistic regression model cannot be estimated with standard ordinary least squares (ols) procedures then we rely on the least squares method.

Regression equation:

In simple linear regression, the predicted value of the dependent variable is given by the equation = b0 + b1x. The values of b0 and b1 are calculated from the data so that the line = b0 + b1X minimizes the total sum of squared errors (error is the difference between the predicted value and the actual value of y).

Least squares method:

The least squares method is a statistical procedure to find the best fit for a set of data points by minimizing the sum of the offsets or residuals of points from the plotted curve.

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Answer:

domain

Step-by-step explanation:

range

Answer:

I think it's 4

Step-by-step explanation:

Answer:

C (The third table in the picture)

Step-by-step explanation:

Apologies if im wrong but I think it's C because it is doubling each time it goes further in the table.

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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Answer:

the answer is 5/6

Step-by-step explanation:

the company is not the first BFF to come to mr as default

the answer is 5/6. have a good day

Answer:

50

Step-by-step explanation:

Correct question

-16/5, 8, -20. What is the next term of the geometric sequence.

The nth term of a geometric sequence is expressed as:

Tn = ar^n-1

From the sequence:

a is the first term = -16/5

n is the number of term = 4(since next term is 4th term

r is the common ratio = (8)÷(-16/5) = 8×-5/16

r = -5/2

Substitute the given values into the formula

T4 = -16/5(-5/2)^4-1

T4 = -16/5(-5/2)³

T4 = -16/5×-125/8

T4 = -16/8×-125/5

T4 = -2×-25

T4 = 50

Hence the next term is 50

Answer:

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

y < -2x -2 Substitute in -1 for x and 0 for y and see if the statement is true.

0 < -2(-1) - 2

0 < 2-2

0 < 0  

This is a false statement.                                                                                                                                                                                                                                                                  

Answer: A / No.

Step-by-step explanation:

     We will substitute the point given, (-1, 0) and see if the inequality is true after simplifying.

     Given:

y < -2x - 2

     Substitue:

0 < -2(-1) - 2

     Multiply:

0 < 2 - 2

     Subtract:

0 < 0 ✗

     0 is not less than 0, so this point is not a solution.

We can solve this using substitution.

because x-y=2.5

x=y+2.5

Now substitute x into other equation.

2(y+2.5)^2-2y=125

2y^2+10y+12.5-2y=125

2y^2+8y-112.5=0

Now comes the ugly part

y=-4+-sqrt(16+900)

y=-4+-sqrt916

y=-4+-2sqrt229

x=-1.5+-2sqrt229

Answer:C

Step-by-step explanation:

Domain is the range of x so it would be -7 to 7  so It would be C

The height of the pyramid is approximately 432.767 feet.

To find the height of the pyramid, we can use trigonometry and the concept of similar triangles.

Let's assume the point on the ground where the first angle of elevation is measured is point A, and the point 135 feet farther back where the second angle of elevation is measured is point B.

The top of the pyramid is point P.

We have two right triangles, triangle AOP and triangle BOP, where OP represents the height of the pyramid.

The angles of elevation, 35 degrees 30 seconds and 21 degrees 10 seconds, correspond to angles A and B, respectively.

We can set up the following trigonometric ratios:

In triangle AOP:

tan(A) = OP / OA

In triangle BOP:

tan(B) = OP / OB

Since tan(A) and tan(B) are known values, we can calculate them using their respective degrees and seconds.

tan(A) = tan(35° 30') = 0.7002

tan(B) = tan(21° 10') = 0.3816

Now, we can set up a ratio between the two equations:

tan(A) / tan(B) = (OP / OA) / (OP / OB)

Simplifying the ratio:

tan(A) / tan(B) = OB / OA

Substituting the known values:

0.7002 / 0.3816 = (OB + 135) / OB

Solving for OB:

OB = 135 \(\times\) (0.7002 / 0.3186) = 297.767 feet

Since the height of the pyramid, OP, is equal to OB + 135, we can calculate:

OP = OB + 135 = 297.767 + 135 = 432.767 feet

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Answer: The difference between sum of first 20032003 even numbers and sum of first 20032003 odd numbers is “-20032003”.

Step-by-step explanation:

The sum of first 20032003 even numbers:

\(Summation E=E_{1}+E_{2}+E_{3}+ . . . . . +E_{20032003}\)

The sum of first 20032003 odd numbers:

\(Summation O=O_{1}+O_{2}+O_{3}+ . . . . . +O_{20032003}\)

Difference between the sum of first 20032003 even numbers and the sum of first 20032003 odd numbers:

\(Difference=Summation E - Summation O=(E_{1}+E_{2}+E_{3}+ . . . . . . . +E_{20032003})-(O_{1}+O_{2}+O_{3}+ . . . . . . . +O_{20032003})\)

\(Difference=(E_{1}-O_{1})+(E_{2}-O_{2})+(E_{3}-O_{3})+ . . . . . . . +(E_{20032003}-O_{20032003})\)

Even numbers start as 0, 2, 4, 6…. While odd numbers start as 1, 3, 5, 7…..

(assuming that we are taking non-negative even/odd numbers into account only)

As we know, every nth even number is one behind their respective odd number (i.e. 0 lags 1, 2 lags 3, 4 lags 5 and so on)

Thus, our equation of difference becomes,

\(Difference=(-1)_{1}+(-1)_{2}+(-1)_{3}+ . . . . . . . +(-1)_{20032003} =(-1)*20032003=-20032003\)

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Answer:

127

Step-by-step explanation:

There are 720 degrees in hexagon 720-112-133-128-100-120 = 127 so x=127

Problem 2

Part (a)

The 3D shape formed when rotating around the y axis forms a pencil tip

The shape formed when rotating around the x axis is a truncated cone turned on its side.

------------

Part (b)

Check out the two diagrams below.

============================================================

Problem 3

Answer: Choice A and Choice C

-----------------------

Explanation:

Think of stacks of coins. Let's say we had 2 stacks of 10 quarters each. The quarters are identical, so they must produce identical volumes. Those sub-volumes then add up to the same volume for each stack. Now imagine one stack is perfectly aligned and the other stack is a bit crooked. Has the volume changed for the crooked stack? No, it hasn't. We're still dealing with the same amount of coins and they yield the same volume.

For more information, check out Cavalieri's Principle.

With all that in mind, this leads us to choice C. If the bases are the same, and so are the heights, then we must be dealing with the same volumes.

On the other hand, if one base is wider (while the heights are still equal) then the wider based block is going to have more volume. This leads us to choice A.

6 miles , is the one additional step which Cecil must travel in order to return to starting point A . His move accord expression is

8+(-5)+7+6+(-7)+5+(-8)+6

Let Cecil start from a point A and move toward point B . His movement expression is

8+(-5)+7+6+(-7)+5+(-8)

A →8 <--5 →7→6<--7→5<--8 , here  shows forward steps and shows backward steps

A→8→7→6→5 (B)

Total distance travelled by Cecil from A to B = 26 miles

B→5→7→8

Total distance travelled by Cecil from B to A = 20 miles

Cecil wants to return to the starting point A ,so he must be travel same distance as travelled from A to B i.e. 26 miles .

But Cecil travel from B to A is 20 and not 26 . The difference between the distance travelled by Cecil is (A→B – B→A) = 26-20 = 6 miles

Hence, Cecil required travel distance is 6 miles to return his starting point A.

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Answer:

1/5

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

This is because it contains the sum of the same variable to different powers.

Answer:

b ≈ 4.2

Step-by-step explanation:

Using the tangent ratio in the right triangle, that is

tan50° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{5}{b}\) ( multiply both sides by b )

b × tan50° = 5 ( divide both sides by tan50° )

b = \(\frac{5}{tan50}\) ≈ 4.2 ( to the nearest tenth )

Answer:

0.000000207 in scientific notation = 2.07 × 10^-7

Remember it has to have one number before the decimal.

8.2 * 10^-7 in standard form = 0.00000082

YOu have to move the decimal back.

In the first box the answer is 2.07 × 10^-7.

In the second box the answer is 0.00000082.

Step 1: Group the first two terms together, followed by the last two terms. Step 2: Extract a GCF from each binomial separately. Step 3: Remove the common binomial. It's worth noting that if we multiply our answer by itself, we get the original polynomial.

A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Step 1: Combine the first two terms, then the last two terms. Step 2: Separately extract a GCF from each binomial. Step 3: Get rid of the common binomial. It's worth noticing that dividing our solution by itself yields the original polynomial. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

Here,

Step 1: Combine the first two terms, then the last two terms. Step 2: Separately extract a GCF from each binomial. Step 3: Get rid of the common binomial. It's worth noticing that dividing our solution by itself yields the original polynomial.

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Answer:

TRUE

Step-by-step explanation:

true

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Normal distribution, the quartiles lie at roughly 0.675 standard deviations below the mean and 0.675 standard deviations above the mean, which corresponds to 25% and 75% of the data, respectively.

To determine the number of standard deviations above and below the mean that the quartiles of any normal distribution lie, use the closest available values (the applet cannot hit every value exactly).

The quartiles of a normal distribution are separated by 1.5 IQR, where IQR is the interquartile range. In a standard normal distribution, the interquartile range spans from approximately -0.675 to 0.675, which corresponds to roughly 0.675 standard deviations above and below the mean.

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In a pizza takeout restaurant, the random variable x represents the number of toppings for a large pizza. The following probability distribution was obtained: Probability distribution:
x: 0 1 2 3 4 5 6
P(x): 0.05 0.10 0.15 0.20 0.25 0.15 0.10The mean of the distribution is given by;μ = ∑xP(x) ………… (1)where;μ = mean or expected value of the distribution.x = each of the possible values of x.P(x) = corresponding probability associated with each value of x.Substitute the values in equation (1);μ = 0(0.05) + 1(0.10) + 2(0.15) + 3(0.20) + 4(0.25) + 5(0.15) + 6(0.10)μ = 0 + 0.1 + 0.3 + 0.6 + 1 + 0.75 + 0.6μ = 3.35

The mean number of toppings for a large pizza is 3.35.The variance of the distribution is given by;σ2 = ∑(x - μ)2P(x) ………..(2)where;σ2 = variance of the distribution.μ = mean or expected value of the distribution.x = each of the possible values of x.P(x) = corresponding probability associated with each value of x.Substitute the values in equation (2);σ2 = [0 - 3.35]2(0.05) + [1 - 3.35]2(0.10) + [2 - 3.35]2(0.15) + [3 - 3.35]2(0.20) + [4 - 3.35]2(0.25) + [5 - 3.35]2(0.15) + [6 - 3.35]2(0.10)σ2 = 11.2Standard deviation (σ) = sqrt(σ2)Substitute the value of σ2 into the formula above;σ = sqrt(11.2)σ = 3.35The standard deviation of the distribution is 3.35.What is the meaning of standard deviation?Standard deviation is a measure of the dispersion of a set of data from its mean. The more the spread of data, the greater the deviation of data points from their mean.

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In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Find the mean and standard deviation.

Solution:The probability distribution is not given in the problem statement. Without the probability distribution, we cannot calculate the mean or the standard deviation of the probability distribution.

Example of how to calculate the mean and standard deviation of a probability distribution:Suppose that the following probability distribution is given.The random variable x represents the number of times an individual will blink their eyes in a 20-second period.x 1 2 3 4P(x) 0.1 0.4 0.3 0.2

The mean is given by the formula μx= ΣxP(x).

Therefore, μx = (1 × 0.1) + (2 × 0.4) + (3 × 0.3) + (4 × 0.2) = 0.1 + 0.8 + 0.9 + 0.8 = 2.6.To calculate the variance, we use the formula: σx² = Σ(x-μx)²P(x).

Hence, σx² = (1 - 2.6)²(0.1) + (2 - 2.6)²(0.4) + (3 - 2.6)²(0.3) + (4 - 2.6)²(0.2) = 1.56. Therefore, σx = √1.56 = 1.25.

The mean and standard deviation of the probability distribution are 2.6 and 1.25, respectively.

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The correct prime numbers x that make this inequality true is,

⇒ x = 7, 11, 13, 17, 19

We have to given that;

The expression is,

''5 is less than x and x is less than or equal to 19.''

Now, We can formulate;

⇒ 5 < x ≤ 19

Hence, Possible prime numbers that make this inequality true are,

⇒ x = 7, 11, 13, 17, 19

Thus, The correct prime numbers x that make this inequality true is,

⇒ x = 7, 11, 13, 17, 19

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