In AABC, MZA = 16°, mZB = 49°, and
a = 4. Find c to the nearest tenth.

Maximum weight the elevator can carry = 2100 pounds

The number of people it can carry if the average person weight is 150 pounds can be calculated below

It will definitely hold 14 people . The elevator can safely ride 14 people. The elevator cannot hold more than 14 people with an average weight of a person as 150 pounds.

The statement on measures of central tendency being statistical measures used to yield information is True.

Statistical techniques known as measures of central tendency are utilized to illustrate the central point of a given data set. One application of them is to determine the average or representative numerical value of a group of data points and can serve as a means of evaluating and contrasting multiple data sets.

One way to represent the central tendency of a data set is through the use of its mean value which is essentially the arithmetic average. To determine the mean, the sum of all data points is divided by the total number of data points in the set. The median is the central point within a dataset that has been sorted in ascending or descending order. The mode represents the value that appears with the highest frequency in a dataset.

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The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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77777

Answer:

The limit for a significantly low volume is 824.1 cm^3 and the limit for a significantly high volume is 1311.7 cm^3.

A value of 1341.7 cm^3 is above the upper bound, so it will be considered significantly high.

Step-by-step explanation:

The range rule of thumb considers that the range (the difference between the maximum value and the minimum value) has a value of aproximately 4 times the standard deviation. That is that the limits of the expected values will be in the interval within 2 standards deviation above and below the mean.

Then, using this rule, we will consider that the brain volumes are significantly low if they are 2 standard deviations below the mean, and significantly high if they are 2 standard devitions above the mean.

Then, we can define the lower bound as:

\(LB=\mu-2\sigma=1067.9-2\cdot121.9=1067.9-243.8=824.1\)

And the upper bound as:

\(UB=\mu+2\sigma=1067.9+2\cdot121.9=1067.9+243.8=1311.7\)

A value of 1341.7 cm^3 is above the upper bound, so it will be considered significantly high.

What is Function?

Function is the relationship between inputs where each input is related to exactly one output. It is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output, and the output can be traced back to its input.

"y is a function of x" (denoted y = f(x)) means that y varies according to whatever value x takes on.

How to determine

Where F(x) = 2x^4 + x^2 - 10x + 1

So, to calculate f(-10)

f(x) = y

Where x = -10

f(-10) = 2(-10)^4 + (-10)^2 -10(-10) + 1

f(-10) = 2(10000) + 100 + 100 + 1

f(-10) = 20000 + 100 + 100 + 1

f(-10) = 20201

For f(2),

f(x) = y

Where x = 2

f(2) = 2(2)^4 +2^2 -10(2) + 1

f(2) = 2(16) + 4 -20 + 1

f(2) = 32 + 4 -20 + 1

f(2) = 17

For f(3)

f(x) = y

Where x = 3

f(3) = 2(3)^4 + 3^2 -10(3) + 1

f(3) = 2(81) + 9 -30 + 1

f(3) = 162 + 9 - 30 + 1

f(3) = 142

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Answer:

B. 61

Step-by-step explanation:

7, 10, 13, 16...

ok so were starting with 7 and adding 3 every time

im going to do 3 times 19 like as if we started with 3 then im going to add 4

3 x 19 = 57

57 + 4 = 61

the 19th term is 61

Answer:

B: 61

Step-by-step explanation:

Hope this helps :)

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

sheela has 12

sangeeta has 8

Step-by-step explanation:

3 add 2 is 5

20 divide by 5 is 4

4 times 3 is 12

4 times 2 is 8

Answer:

Sheila will get 12pens nd Sangeetha will get 8pens

Step-by-step explanation:

so since ration is3:2 we take thm  as 3x nd 2 x

add em to get 5x

so 5x=20

x=20/5 (we transposed 5)

x=4

so 3x=3*4=12

2x=2*4=12!

Hope this helped!

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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Answer:

A = 76

Step-by-step explanation:

Formula of the area of a triangle: \(A=\frac{h*b}{2}\)

Formula of a rectangle: \(A=l*w\)

So starting with the triangle...You know that the height of the triangle is 7, and the base of the triangle is 8 because the base of the rectangle is the same as the triangle's base...

Now using the formula of the triangle...

A = \(\frac{7*8}{2}\)

= 28

Now find the area of the whole retangle...The length of the rectangle is 13 because 7+6=13; the width is 8

Now using the formula of the rectangle...

A = \(13*8\)

= 108

Now that you have the areas of both the triangle and the retangle...Do subtraction to find the shaded area...

\(108 - 28 = 76\)

Answer:

s > 118 2/3

Step-by-step explanation:

Answer:

A rational expression is when the numerator and the denominator are polynomials. An example is  5/x − 2

\(f(x) = \dfrac 19 3^x\\\\f(5) = \dfrac 19 \cdot 3^5 = \dfrac{3^5}{3^2} = 3^{5-2} = 3^3 =27\)

Answer:

24.5

Step-by-step explanation:

7/1 = 7

3.5 x 7 = 24.5

If i'm wrong, I can do it again.

Answer:

mA=56 degrees

Step-by-step explanation:

Complementary angles adds up to 90 degrees. This imply that

\((7x+28)+(8x+2)=90\)

From this equation, we can find x:

\(15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4\)

Now, we can substitute the value for x into the angle mA:

\(mA=(7*4+28)\\mA=(28+28)\\mA=56\)

The two ways to determine how much money Amit made in the two weeks are,

$5(3 + 2) = $25 and $5(3) + $5(2) = $25.

What is shell?

A hard, protective outer layer is typically produced by an animal that lives in the sea and is referred to as a shell, seashell, or simply a shell. The animal's body includes the shell. Beachcombers regularly discover empty seashells washed up on beaches.

Given: Amit sold 3 shells last week for $5 each.

And 2 more shells this week for $5 each.

So, the equation which represent the total money is,

$5(3) + $5(2) = $15 + $10 = $25.

Also we can express this equation as,

$5(3 + 2) = $5(5) = $25

Therefore, the two ways to determine how much money Amit made in the two weeks are,

$5(3 + 2) = $25 and $5(3) + $5(2) = $25

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Answer:

= 14/1

= 14

Step-by-step explanation:

Answer:

b) $701

Step-by-step explanation:

We want to find the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 17 - 1 = 16

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 1.746.

If the 90% confidence interval for the true mean resale value of the Camry after 5 years of ownership is from $12,103 to $12,697.

The margin of error is half this difference. So

\(M = \frac{12697-12103}{2} = 297\)

Margin of error formula:

\(M = T\frac{s}{\sqrt{n}}\)

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

\(T = 1.746, M = 297, n = 17\)

We use this to find s, which is the sample standard deviation. So

\(M = T\frac{s}{\sqrt{n}}\)

\(297 = 1.746\frac{s}{\sqrt{17}}\)

\(s = \frac{297*\sqrt{17}}{1.746}\)

\(s = 701.35\)

To the nearest dollar, $701 and the answer is given by option b.

9514 1404 393

Answer:

  $281.40

Step-by-step explanation:

A financial calculator tells you the payment for the 18-month loan is $361.46, so her total payback amount is $6506.28.

Similarly, the payment for the 24-month loan is $282.82, and the total amount repaid is 6787.68.

The shorter-term loan costs less by ...

  $6787.68 -6506.28 = $281.40

Ann can save $281.40 by choosing the shorter-term loan.

In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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Answer:

x  =  −  2  −  2 y /5

Step-by-step explanation:

Answer:

Slope=-5/2

Step-by-step explanation:

First, you need to convert the equation from standard from (Ax+By=C) to slope-intercept form (y=mx=b)

5x+2y= -10

-5x       -5x

2y= -5x-10

/2    /2   /2

y= -\(\frac{5}{2}\)x-5

find m (slope)

m=-\(\frac{5}{2}\)

Answer: x = 1

Step-by-step explanation:

x = 1 provides one solution for any linear equation, as it is a straight vertical line.

Hope it helps <3

Answer:

x=2

Step-by-step explanation:

Our equation is y=2x+4

the line goes through (2,0) and (0,4)

This equation has one solution for y=0

there are millions of similar equations that has one solution like:

x = 2

In response to the given question, we can state that Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.

Mathematicians examine numbers and complex variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "functioning" signifies the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and results in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used this to denote functions (x). The symbol for admission is an x. The four primary types of usable functions are on operations, one-to-one capabilities, so multiple functionality, in capabilities, and then on functions.

Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.

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Answer:

The % of drivers that will exceed this limit is 10.56 %

Step-by-step explanation:

Let's start defining the random variable :

\(X\) : '' The speed on that road ''

We know that \(X\) can be modeled with a Gaussian distribution ⇒

\(X\) ~ \(N\) ( μ , σ )

Where ''μ'' is the mean and ''σ'' is the standard deviation. Given that the average speed and the standard deviation of the problem are known we write :  

\(X\) ~ \(N(67,4)\)

We are asked about \(P(X>72)\) (which is the % of drivers that will exceed this limit).

To find this probability we are going to make a standardization of the variable \(X\) (also called a change of variables).

We are going to substract the mean to \(X\) and then divide by its standard deviation :

\(P(X>72)=\) P [(X-μ) / σ > (72 - μ) / σ] (I)

The new variable [(X - μ) / σ] is called Z.

Z can be modeled as

\(Z\) ~ \(N(0,1)\)

⇒ Replacing in (I) the values of the mean and the standard deviation :

\(P(Z>\frac{72-67}{4})\) = \(P(Z>1.25)=1-P(Z\leq 1.25)\)

The convenience of this is that we can find the probabilities of Z (which is a N(0,1) ) in any table on internet ⇒

Looking at any table we will find that \(P(Z\leq 1.25)=0.8944\) ⇒

\(P(X>72)=P(Z>1.25)=1-P(Z\leq 1.25)=1-0.8944=0.1056\) = 10.56 %

We find that the % of drivers that will exceed this limits is 10.56 %

You have the following two expressions:

a) 14x + 21

b) 6 - 3x

In order to find the factor for each expression, you consider that the factor is a term which multiplied by the terms inside the parenthesis generates the original expression. The factor is deduced from the estimation of the least common multiple of the terms.

a) 14x + 21

you have that least common multiple is 7. Then, you have:

14x + 21 = 7(2x + 3)

next, you use the distribution property in the expression 7(2x + 3)

7(2x + 3) = (7)(2x) + (7)(3) = 14x + 21

thus, you obtain the original expression and 7 is in fact, the searched factor.

b) 6 - 3x

the least common multiple of this expression is 3. Then, you have:

6 - 3x = 3(2 - x)

next, you use distribution property

3( 2 - x ) = (3)(2) + (3)(-x) = 6 - 3x

thus, the factor is 3

Answer:

y = -x - 2

this is because the m is the slope and the b is the intersection of the y axis

Answer:

y=-1x-2

Step-by-step explanation:

First find the slope by using the formula (y2-y1)/(x2-x1). Choose the 2 intercepts to calculate the slope. replace the y's and x's with your points so it would look like this or this: (-2-0)/(0-(-2)) or 0-(-2))/(-2-0). They both give the same slope which is -1. Then, since the graph tells us the y-intercept(when the x is equal to 0), we replace it with b to get y=-1x-2.

B - 32.5%

Total number of people who took the survey =5+8+10+4+4+3+2+1+2+0+1

= 40

Number of people who spent 5 hours or more on social media

= 4+3+2+1+2+1

= 13

Percentage = 13/40 × 100%

= 32.5%

Answer:

no solution

Step-by-step explanation:

Expand all terms

-9+3k = 3k+9

Bring all like terms to one side

-9-9=3k-3k

Simplify

-18=0

no solution for k because -18 cannot be equal to 0