The tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years? $60 $80 $90 $100

Answer:

x = 80°

Step-by-step explanation:

x = 180 - ( 129 + 71 ) / 2

Thanks!

Answer:

8

Step-by-step explanation:

The probability of picking out a certain colour = 12/48 = 1/4

So, this means that every 4 socks you pick out you can be sure of having one of each colour. If you need to find a pair, then you pick out 8.

Hope this helps

Answer:

The probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

Step-by-step explanation:

The random variable X follows a discrete uniform distribution.

The probability mass function of X is:

[tex]f(x)=\left \{ {{\frac{1}{3}};\ x=1,2,3 \atop {0;\ \text{otherwise}}} \right.[/tex]

Then,

a = 1

b = 3

The mean and standard deviation of the random variable X are:

[tex]\mu=\frac{b+a}{2}=\frac{3+1}{2}=2\\\\\sigma=\sqrt{\frac{(b-a+1)^{2}-1}{12}}=\sqrt{\frac{(3-1+1)^{2}-1}{12}}=0.8165[/tex]

The sample size is, n = 39.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As n = 39 > 30, the sampling distribution of sample mean of X will follow a Normal distribution approximately.

Compute the probability that the sample mean is greater than 2.1 but less than 2.6 as follows:

[tex]P(2.1<\bar X<2.6)=P(\frac{2.1-2.0}{0.8165/\sqrt{39}}<\frac{\bar X-\mu_{\bar x}}{\sigma/\sqrt{n}}<\frac{2.6-2.0}{0.8165/\sqrt{39}})[/tex]

                          [tex]=P(0.76<Z<4.59)\\\\=P(Z<4.59)-P(Z<0.76)\\\\=1-0.77637\\\\=0.22363\\\\\approx 0.2236[/tex]

Thus, the probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

Answer:

B. The Range is the set of real numbers greater than or equal to zero

C. The Domain is the set of all real numbers .

Step-by-step explanation:

The Domain is the set of real numbers for which the function is defined. In this case, the Domain is the set of all real numbers .

The Range is the set of real numbers that are connected to the elements of the domain. In this case, you see that only real numbers above (or in the) x-axis are connected to the x-values of the domain. Then another answer to check is;

B. The Range is the set of real numbers greater than or equal to zero.

Answer:

B

Step-by-step explanation:

m-1.35=2.30

you would add -1.35 to the other side

so then you have

m=3.65

which is how much money she had to begin with

Answer:

B

Step-by-step explanation:

m - 1.35 = 2.30

Answer:

The rate of change will be the same for all years.

Step-by-step explanation:

As it is mentioned in the question, that the rate of change is 7%.

And as we know that

= I (1 + R)^T

where

I = Initial amount

R = Rate of growth,

And T = Time.

So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.

Therefore the rate of change would be the same for all the year

Answer:

y=3/2x+1

Step-by-step explanation:

y-4= -⅔(x-6)

y-4=-⅔x+4

y=-⅔x+4+4

(equation of line 1) y= -⅔x+8 gradient= -⅔

(line 2)gradient=3/2

note* the gradients of perpendicular lines multiplied result to -1

gradient=y²-y²

x²-x¹

3 =y+2

2. x+2

multiply both sides by 2(x+2)to remove the denominators

3(x+2)=2(y+2)

3x+6=2y+4

3x+6-4=2y

3x+2=2y

divide all sides by 2

3/2x+1=y

y=3/2x+1

Answer:

(2√5)/5

Explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.

from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated

Answer:

C, 2 sqrt 5 / 5

Answer:

A)Only Line A is well placed line of best fit

Step-by-step explanation:

Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line

The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit

By considering both the given graphs

We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit

So,Option A is true

A)Only Line A is well placed line of best fit

Answer: a) only line A is a well placed line of best fit

Step-by-step explanation:

Answer:

Option D). is correct choice.

Step-by-step explanation:

The linear approximation for f(x) at x = a is y = 5

Best Regards!

Answer:

160 athletes

Step-by-step explanation:

Let the total number of athletes in the meet be x

Given that 24 athletes who  threw the shot put at a track and field meet are 15/100 of all the  athletes in the meet .

If we write this in mathematical algebraic expression

15/100 of all the  athletes in the meet = 24

15/100 * x = 24

=> x = 24*100/15 = 24*100/3*5 = 160

Thus, 160 athletes competed in the meet.

Answer:

y - 8 = - [tex]\frac{2}{3}[/tex](x + 3)

Step-by-step explanation:

y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form with slope m = - [tex]\frac{2}{3}[/tex]

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - [tex]\frac{2}{3}[/tex] and (a, b) = (- 3, 8), thus

y - 8 = - [tex]\frac{2}{3}[/tex] (x - (- 3)), that is

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 3)

Answer:

I think its O-5 I am not sure

Answer:

"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)

"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)

Step-by-step explanation:

well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it

hope this helped LOL

If it's x²y³ then we know it's the second term of the expansion, that known we can use the combination

C(5, 2) = 5!/(2!.3!) = 10

Then if we had something like

(a + b)^5 our second term would be 10a²b³ but as we can see it's "a²"

And in our case we have 2x as a

So we must do 2² too

2² = 4

10 . 4 = 40

Then our second term of the expansion would be

40x²y³

Answer:

x = 1

Step-by-step explanation:

6(x+4)=30    (divide both sides by 6)

(x+4) = 30/6

x+4 = 5   (subtract 4 from both sides)

x = 5 - 4

x = 1

Step-by-step explanation: 6(x+4)=30

(Distributive property): 6x+24=30

( Transposition method): 6x=30-24( + becomes -) 6x=6

(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1

Answer:

≈451.37 cm³

Step-by-step explanation:

Since the diameter of the can is 6, the radius is 3.

Old can height: 12

Old can base radius: 3

Old can volume: 339.12 cm³

New can height: 12×1.1=13.2

New can base radius: 3×1.1=3.3

New can volume: 13.2×3.14×3.3²=13.2×3.14×10.89=451.36872 cm³

Answer:

Here are some examples:

[tex] \sqrt{9}, 18/3, 15, -6, 1.2, 0 [/tex]

Answer:

Th answer is 220

Step-by-step explanation:

Work Shown:

The idea is that you replace f(x) with y, swap x and y, then solve for y to get the inverse.

[tex]f(x) = \frac{3x-2}{6}\\\\y = \frac{3x-2}{6}\\\\x = \frac{3y-2}{6}\\\\6x = 3y-2\\\\3y-2 = 6x\\\\3y = 6x+2\\\\y = \frac{6x+2}{3}\\\\f^{-1}(x) = \frac{6x+2}{3}\\\\[/tex]

Answer:

Solution,

Radius(R)= 7 cm

Area of quarter circle:

[tex] \frac{\pi \: {r}^{2} }{4} [/tex]

[tex] = \frac{3.142 \times 49}{4} [/tex]

[tex] = 38.4895 \: {cm}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Square centimeters

Step-by-step explanation:

As the area of the picture is 300 cm², Square centimeters are the appropriate unit for measuring the area of the picture.

please mark me brainliest!

Answer:

6

Step-by-step explanation:

(x+y)*z= (-4/3+1/2)*(-7/5)= -5/6* (-7/5)= 35/30=7/6

Denominator is 6.

Answer:

D. 2

Step-by-step explanation:

The rate of change is also considered the slope in graph form.

In the first chart every time the t-value goes up twice the c-value goes up four times.

The same can be said for the graph on the bottom.

Answer:

Step-by-step explanation:

Hello!

a)

To compare both datasets I've made a box plot for them.

The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.

Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.

Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.

b)

As you can see in the box plot  the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:

Me= 24.50

X[bar]= 23.80

The median divides the sample in halves (50-50),  it shows you where the middle of the distribution is.

The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.

c.

As you can see in the box plots, there are no outliers in both distributions.

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

Or extreme outliers if:

X < Q₁ - 3 IQR

X > Q₃ + 3 IQR

For the women data set:

Q₁= 17; Q₃= 30; IQR= 30 - 17= 13

Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.

Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.

I hope this helps!

Answer:

Mean(m) = 462,536

sd = 29,268.29

Step-by-step explanation:

Given the following:

P(sales > 470,000) = 40% = 0.4

P(sales > 500,000) = 10% = 0.1

Using the z - table, we can locate the corresponding P values

Z = 1 - p = 1 - 0.4 = 0.6; 1 - 0.1 = 0.9

Locating the closest value to 0.6 on the z table ;

(0.25 + 0.26) / 2 = 0.255

Locating the closest value to 0.9 on the z table ;

Z = 1.28

Recall;

z =( x - m) / sd

Where m = mean ; sd = standard deviation

First condition:

0.255 = (470,000 - m) / sd

0.255 × sd = (470,000 - m) - - - - - (1)

1.28 = (500,000 - m) / sd

1.28 × sd = (500,000 - m) - - - - (2)

We can solve for one of the unknowns y subtracting equation (1) FROM 2

1.28sd - 0.255sd = (500,000 - m) - (470000 - m)

1.025sd =500,000 - m - 470000 + m

1.025sd = 30,000

sd = 29,268.29

Substituting the value od SD into (1) or (2)

1.28 × 29,268.29 = 500000 - m

37463.41 = 50000 - m

m = 50000 - 37463.41

Mean(m) = 462,536

Answer:

1,3,6prop. 245notprop

I'm gonna pack my things and leave you behind

This feeling's old and I know that I've made up my mind

I hope you feel what I felt when you shattered my soul

'Cause you were cool and I'm a fool

So please let me go

But I love you so (please let me go)

I love you so (please let me go)

I love you so (please let me go)

I love you so

Answer:

I can confirm the answer is:

D. 40 units

Step-by-step explanation:

I just took the test on edge and got it right!

The perimeter of the Δ QSU is given as 40 units. (Option D). See explanation below.

We can derive the perimeter by stating:

2x = x + 3 ⇒ x = 3

This is because Δ RSC ≅ Δ TSC

RS = 2 x 3 = 6 = ST

This is because ΔQRC ≅ ΔQVC

TV = VU = 4; we know this because
ΔCVU ≅ Δ CTU

Thus

QR = QV = 10

CΔQSU = 10 + 6 + 10 +14

= 40 Units.

Learn more about perimeter of triangles at:
https://brainly.com/question/24382052
#SPJ9

Answer:

0.85

Step-by-step explanation:

The interquartile range of any given data set is simply the difference between the Q3 and the Q1, i.e. Q3 - Q1.

Let's find the Q3 and the Q1 of the given data set: 30.8, 29.9, 30.0, 31.0, 30.1, 30.5, 30.7, 31.0

First, let's order the data given in increasing order from small to the largest value:

29.9, 30.0, 30.1, 30.5, 30.7, 30.8, 31.0, 31.0

Let's find the median:

Since the number of data set given is even number (8), our median would be the average of the 4th and 5th data value = (30.5+30.7) ÷ 2 = 30.6

Let's find Q3 and Q1

Q1 is the middle value from the median point to our left = (30.0+30.1) ÷ 2 = 30.05

Q3 is the middle value from the median point to our right = (30.8+31.0)÷2 = 30.9

Interquartile Range = 30.9 - 30.05 = 0.85

This question is incomplete because it lacks the appropriate attachment containing the argument of Paul and Manuel

Kindly find attached the appropriate attachment necessary to solve this question.

The attachment was sourced online

Answer:

a) Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X

Step-by-step explanation:

From the above question, we are given two shapes: Cone W and Square Pyramid

Cone W: Radius = 8cm, Height = 5cm

Volume of a Cone = 1/3 πr²h

Where π = 3.14

Volume of Cone X = 1/3 × 3.14 × 8² × 5

= 334.93cm³

For Square pyramid X

Volume = 1/3 × Base Area × Height

Base Area of Cone W = Base Area of square pyramid X = πr²

Where π = 3.14

Base area = 3.14 × 8² = 200.96cm²

Height of Square pyramid X = Height of Cone W = 5cm

Volume of Square pyramid = 1/3 ×200.96cm² × 5cm

= 334.93cm³

Therefore, from my above calculation and compared with the arguments of Paul and Manuel, Option a) "Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X" is the correct option.

The reason why is because the correct formula for the volume of a square pyramid = 1/3 × Base area × Height

This was the formula Paul used.

Manuel on the other hand used the formula: Base Area × Height to find the volume of cone W. This formula is wrong.

Option a, is the correct answer.

Answer: A. Paul's argument is correct; Manuel used the incorrect formula to find the volume of square pyramid X.

Proof of validity shown below along with the attached chart not included in initial question!