please help me find the missing value of X.

Answer:

Step-by-step explanation:

log=(x+3)

x=1

(1+3)=4

log=4

Answer:

x = 2

Step-by-step explanation:

x + 3 > 0

x > -3

x > 0

log [x(x+3)]= log 10

log (x² + 3x) = log 10

x² + 3x = 10

x² + 3x - 10 = 0

(x+5)(x-2) = 0

x = -5 (not acceptable)

x = 2

The sales of marshmallow is 5 million and the sales of graham cracker is 5 million is 0.5648 and the probability that 3X1-1X2 + 3X3 > 20 is 0.000005.

The multivariate normal distribution is a probability distribution which describes the joint behavior of multiple random variables. In the given case, the profit (in millions) for selling chocolate (Xi), marshmallow (X2) and graham cracker (X3) follows a multivariate normal distribution with parameters 1, 0.3, 0.3 and Σ = 0.31 0 0.3 01.

1. To calculate the probability that the profit for selling chocolate is greater than 6 millions, we need to calculate the probability that X1>6. Using the given parameters, we can use the formula for calculating the cumulative probability of a standard normal distribution: \(P(X1>6) = 1-P(X1≤6) = 1-0.9999994 = 0.000006.\)

2. To calculate the probability that the profit for selling chocolate is greater than 6 millions, given the sales of marshmallow is 5 million and the sales of graham cracker is 5 million, we need to calculate the conditional probability \(P(X1>6|X2=5, X3=5)\). Using the given parameters, we can calculate this probability using the formula for conditional probability:\(P(X1>6|X2=5, X3=5) = P(X1>6 ∩ X2=5 ∩ X3=5) / P(X2=5 ∩ X3=5) = 0.002207 / 0.003915 = 0.5648.\)

3. To calculate the probability that, we need to calculate the probability that\(X1>7-X2/3-X3/3\). Using the given parameters, we can calculate this probability using the formula for cumulative probability of a standard normal distribution: \(P(3X1-1X2 + 3X3 > 20) = 1-P(3X1-1X2 + 3X3 ≤ 20) = 1-0.9999995 = 0.000005.\)

In conclusion, the probability that the profit for selling chocolate is greater than 6 millions is 0.000006, the probability that the profit for selling chocolate is greater than 6 millions

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Answer:   84.5%

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

Work Shown:

A = area of the smaller square

A = (5.98)^2

A = 35.7604 square cm which is exact

B = area of the larger square

B = (15.2)^2

B = 231.04 square cm which is exact

C = the chances of landing in the smaller square

C = A/B

C = 35.7604/231.04

C = 0.15478012465373 which is approximate

C = 0.154780

D = the chances of landing in the blue region

D = 1 - C

D = 1 - 0.154780

D = 0.84522

D = 84.522%

D = 84.5%

Answer:

So, first you need to set up a proportion and cross multiply. This allows you to  get an equation which you can solve for x.

Step-by-step explanation:

\(\frac{4}{5}\) × \(\frac{17}{x}\)  

Cross multiply to get 4x = 85

Next, isolate the x variable by dividing the 4 on both sides. This leaves you with x = 21.25.

Answer: x = 21.25

Answer:

(4,-2)

Step-by-step explanation:

Start off by doing everything in the parenthesis which is everyone of them so 2x-1=-2 , your problem then should look like this:

-2(3x2-5x+2) carry the 2 over so multiply the 2 to everything so

(-6x-4+10x+2) add like numbers

10x+-6=4

-4+2=-2

(4,-2)

Given that, Lela plans to read 25 pages per day. Let x be the number of days she will take to read the book completly,

Therefore, Lela will take 9 days to completly read the book.

Given that, Thaddeus has already read 45 pages of book. Therefore, the reamaining pages are 180.

The, the expression becomes,

Thus, she will complkete the book in 9 days.

Therefore, the statement 1 is true.

Statement 2 is false. The expression is f(x)=20x+45.

The statement 3 is also true.

Answer: I believe the answer is d or b

Step-by-step explanation:

The number of pizza pieces left is (x + 4) / 4. Option c

Let's assume the total number of pizza pieces is represented by 'x'.

Kevin takes 1/4 of the total pieces, which is (1/4) * x = x/4.

Keith takes one piece less than twice the number of pieces Kevin took, which is 2 * (x/4) - 1 = (2x/4) - 1 = x/2 - 1.

To calculate the number of pizza pieces left, we need to subtract the sum of Kevin's and Keith's pieces from the total number of pieces (x):

Leftover pieces = Total pieces - (Kevin's pieces + Keith's pieces)

= x - (x/4 + x/2 - 1)

= x - (3x/4 - 1)

= x - 3x/4 + 1

= (4x - 3x + 4) / 4

= (x + 4) / 4

Therefore, the number of pizza pieces left is (x + 4) / 4.

The correct option among the given choices would be (c) 1/2x + 1.

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Answer:

a'(6, 2)

Step-by-step explanation:

The point a(6, -2) is reflected over the x-axis, therefore, the only change committed to the point is that \(a'\)'s y-coordinate will now be the negative value of \(a\)'s y-coordinate.

Therefore, \(a'(6, -(-2) \to 2)\)

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer.

20 km.

Hope that helps...

Xavier is not getting better mileage with his new car.

it is given that

distance traveled by Xavier's new car in 20.28 gallons = 472miles

the mileage can be calculated using the formula = (distance traveled)/( gallons of fuel used).

So, the mileage of the new car = 472/20 = 23.06 miles per gallon, and the mileage of Xavier's former car = 20.28 miles per gallon.

From the above data, we can see that the mileage of the former car is greater than the new car.

Therefore, Xavier is not getting better mileage with his new car.

The given question is incomplete, the complete question is

Xavier's new car uses 25 gallons for 472  miles, His former car was able to travel 20.28 miles per gallon. Is Xavier getting better gas mileage in his new car?

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Answer:

u = 1.12

Step-by-step explanation:

To get u, first isolate it.

To isolate u, divide 7 on each side of the equation

7u = 7.84

÷    =   ÷

7          7

u = 7.84/7

u = 1.12

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

y = -x + 6

Step-by-step explanation:

Slope is -1 y-intercept is 6

By using natural logarithm, both towns will have about 15,929-15,942 people at that time.

Explain about natural logarithm ?

The natural logarithm, denoted by ln(x), is a mathematical function that is the inverse of the exponential function. It is a logarithmic function with a base of e, where e is a mathematical constant approximately equal to 2.71828.The natural logarithm of a positive number x is the power to which e must be raised to obtain x. In other words, if y = ln(x), then \(e^y = x.\)

According to the question :

For the first town, the equation to model the population is:

\(pa = 8500(1 + 0.03)^t\)

For the second town, the equation to model the population is:

\(pb = 12250(1 - 0.02)^t\)

To find when the two towns will have the same population, we can set pa = pb and solve for \(t:8500(1 + 0.03)^t = 12250(1 - 0.02)^t\)

Dividing both sides by 8500:(1 + 0.03)^t = 1.4412

Taking the natural logarithm of both sides:

t ln(1.03) = ln(1.4412)Solving for t:t = ln(1.4412)/ln(1.03) ≈ 16.6 years

Therefore, the two towns will have the same population in about 16.6 years.

To find the population at that time, we can substitute t = 16.6 into either equation.

Using the first equation, we get: \(pa = 8500(1 + 0.03)^16.6 = 15,929\)

Using the second equation, we get: \(pb = 12250(1 - 0.02)^16.6 ≈ 15,942\)

So, both towns will have about 15,929-15,942 people at that time.

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\(\huge\boxed{18\ \text{points}}\)

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with \(x\), \(x+1\), \(x+2\), and \(x+3\) respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to \(78\).

\(x+x+1+x+2+x+3=78\)

Now, simplify.

\(4x+6=78\)

Subtract \(6\) on both sides.

\(\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}\)

Divide both sides by \(4\).

\(\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}\)

Since Louise's score is \(x\), the answer is \(18\).

To verify our answer, add the point totals \(18\), \(19\), \(20\), and \(21\).

This equals \(78\), so we can be sure the answer is correct.

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

The new graph same y-intercept but a slope of -200 instead of -300 as in the old graph.

Step-by-step explanation:

The two equations are written in the form of y = mx + b.  m is the slope and b is the y-intercept.

                                                               m, Slope   b, Y-Intercept

Initial Plan:       y = -300x + 2300            -300               2300

Modified Plan:  y = -200x + 2300            -200               2300

The new graph same y-intercept but a slope of -200 instead of -300 as in the old graph.

On solving the provided question, we can say that  Here, 21 and 22 only share a single element, which is 1. Since they are co-prime factor, their HCF equals 1.

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

21 and 22:

1, 3, 7, and 21 are the factors of 21.

1, 2, 11, and 22 are the factors of 22.

Here, 21 and 22 only share a single element, which is 1. Since they are co-prime, their HCF equals 1.

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Answer:

y= -1/2x+4

Step-by-step explanation:

slope = rise/run on the graph. the graph is going down, so it's negative. find where the line intersects the graph at a point and then count the squares up and over until it meets again. the line meets at (6,1), you count up one square and over 2 and it meets again. this gives you your rise/run = 1/2. the y intercept is where the line intersects the y axis. here the y intercept is 4 because the like goes through 4 at the y axis.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

A data set must (when graphed) follow a bell-shaped, symmetrical curve that is centered around the mean in order to be regarded as having a normal distribution. Additionally, it must follow the empirical rule that shows the proportion of the data set that lies within (plus or minus) 1, 2, and 3 standard deviations of the mean.

Using the inverse standard normal calculator, we can determine the height at which 70% of 5-year-olds are below it, yielding a z-score of 0.84162. Using the formula x = mean + (z-score * standard deviation), this z-score can be used to determine the corresponding x value, which in this case would be

36 + (0.84162*10) = 42.4 inches.

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Answer:

\(m=-\frac{3}{2}\)

Step-by-step explanation:

\(m=\frac{y2-y1}{x2-x1}\)

\(m= \frac{8-2}{-1-3}\)

\(m=-\frac{6}{4}\)

Simplify

\(m=-\frac{3}{2}\)

Answer:

5√2

Step-by-step explanation:

What we know)

The legs in a 45-45-90 triangle are the same

The Pythagorean Formula is a²+b²=c² where a and b are the legs ands c is the hypotenus

What we can find)

Both the legs are 5

5²+5²=c²

25+25=c²

50=c²

c=5√2

Number of females who answered "No" = Total number of females - Number of females who answered "Yes"= Total number of females - 769

To complete the table, we need the missing value for the number of females who answered "Yes" to feeling tense or stressed out at work.

Given that the total sample size is 1511 and the data for males is already provided, we can calculate the missing value by subtracting the number of male "Yes" responses from the total number of "Yes" responses:

Total "Yes" responses = 742 (from the male column)

Total "No" responses = 500 (from the male column)

Total sample size = 1511

Number of females who answered "Yes" = Total "Yes" responses - Number of male "Yes" responses

= Total "Yes" responses - 742

Number of females who answered "Yes" = 1511 - 742

= 769

Now we can complete the table:

Gender | Yes | No | Total

Male | 242 | 500 | 742

Female | 769 | ??? | ???

Total | ??? | ??? | 1511

The missing value for the number of females who answered "No" can be calculated by subtracting the number of females who answered "Yes" from the total number of females:

Number of females who answered "No" = Total number of females - Number of females who answered "Yes"

= Total number of females - 769

Since we don't have the total number of females given in the question, we can't determine the exact value for the missing "No" response. Similarly, we cannot fill in the missing values for the total row since the total "Yes" and "No" responses are not given for the entire sample.

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Answer:

2.3=v+0.47v=

We move all terms to the left:

2.3-(v+0.47v)=0

We add all the numbers together, and all the variables

-(+1.47v)+2.3=0

We get rid of parentheses

-1.47v+2.3=0

We move all terms containing v to the left, all other terms to the right

-1.47v=-2.3

v=-2.3/-1.47

v=1+0.83/1.47

Answer:

\(v = 1.564\)

Step-by-step explanation:

\(1v + 0.47v = 2.3\)

\( = > 1.47v = 2.3\)

\( = > v = \frac{2.3}{1.47} = 1.564\)

Answer:

100

Step-by-step explanation:

u add the two together and u should multiply them by 3 in order to get ur answer

Answer:

\(x = 11 \sqrt{2} \)

\(y = 11 \sqrt{2} \)

Step-by-step explanation:

\( \sin(45) = \frac{y}{22} \\ \\ \frac{1}{ \sqrt{2} } = \frac{y}{22} \\ \\ y = \frac{22}{ \sqrt{2} } \\ \\ y = 11 \sqrt{2} \)

\( \cos(45) = \frac{x}{22} \\ \\ x = 11 \sqrt{2} \)

Answer:

x=15.56

y=15.56

Step-by-step explanation:

The area of the triangle is 4.5 square unit.

We have, y= 4x/ (1 + x³)

Now, differentiating the above equation wrt to x we get

y' = 4(1 + x³)- 4x . 3x² / (1+ x³)²

y'= -8x³ + 4/ (1+x³)²

When x = 1 then y' = -4/4 = -1

so, y -2 = -1 (x-1)

y= -x+ 3

Here the x intercept is (3, 0) and y intercept is (0, 3).

so, Area of Triangle is

= 1/2 x 3 x 3

= 9/2

= 4.5 square unit

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