Which given statement is also true— ?

Answer:

f(x + 2) = 3x + 2

Step-by-step explanation:

Simply replace wherever you find x in the function f(x) with (x + 2), like so:

f(x + 2) = 3(x + 2) - 4

f(x + 2) = 3x + 6 - 4

f(x + 2) = 3x + 2

Answer:

I can't exactly draw this out on this website, but I can tell you how to do it:

First, solve the inequality so it resembles a function:

7x - y ≥ 14

-y ≥ -7x + 14

y ≤ 7x - 14 (Both side multiply by -1)

Then, graph y = 7x - 14

Finally, because y is less than/equal to 7x - 14, shade in the area under/below the line(where the y-values are smaller).

Hope it's helpful enough

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.

Mean = Σx / n = 1086000 / 8 = 135750

Median = 1/2(n+1)th term = 8000

The lower quartile :

Q1 = 1/4(n+1)th term

Q1 = 8000

Q3 = 3/4 (n+1)th term

Q3 = 18500

IQR = 18500 - 8000 = 10500

OUTLIER :

8000 - (1.5*(10500)) = - 7750

18500 + (1.5*(10500)) = 34250

10% trimmed mean

10% * 8

Cut off 1 from the top and bottom

Data becomes : 8000, 8000, 11000, 15000, 17000, 20000

Trimmed mean = 13166

Answer:

x ≥6

Step-by-step explanation:

Given the product:

√(x-6)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(x-6)*√(x+3)≥0

Find the product

√(x-6)(x+3)≥0

Square both sides

(x-6)(x+3)≥0

x-6≥0 and x+3≥0

x≥0+6 and x ≥0 - 3

x ≥6 and x ≥-3

Hence the required inequality is x ≥6

Answer:

B. x>/ 6

Step-by-step explanation:

A P E X

Answer:

156

The angle measurement is reasonable.  It must be less than 180 which is a straight line

Step-by-step explanation:

Vertical angles are equal

3x = x+104

Subtract x from each side

3x-x = x+104-x

2x = 104

Divide by 2

2x/2 = 104/2

x = 52

3x = 3*52 = 156

The angle measurement is reasonable.  It must be less than 180 which is a straight line

Answer:

[tex]\displaystyle m = 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (2, -3)

Point (6, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

umm sorry but you haven't given the examples yet!!

WHAT IS THIS

AM CONFUSEDDDD

DO YOU NEED HELP WITH HOEMWORK

9514 1404 393

Answer:

  225 mL

Step-by-step explanation:

The amount Mariana drank was ...

  (4.5 mL/s)×(17 s) = 76.5 mL

The original quantity is that amount added to the amount remaining:

  original amount = amount drunk + amount remaining

  = 76.5 mL +148.5 mL

  original amount = 225 mL

Answer:

a) Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium

b) The point estimate of the difference is  59 $

Step-by-step explanation:

From sample we get:

sample size    n  =  25

annual mean   x  =  1440

standard deviation of the sample   s  =  150

mean for the mean annual premium    μ  = 1499

Hypothesis Test:

Null Hypothesis                      H₀           x  =   μ

Alternative Hypothesis          Hₐ           x  <   μ

Alternative Hypotesis indicates that the test is a one-tail test to the left

Let´s assume  confidence Interval 95 %    then  α  =  5 %   α = 0.05

As  n < 30 and we assume normality we will make a t-student test

degree of freedom    df  =  n  -  1    df  = 24

With df = 24  and  α = 0.05 and from t-student table we get t(c) =  - 1.711

To calculate t(s) we apply:

t(s)  =  (  x  -  μ ) / s/√n

t(s)  =  ( 1440  -  1499 ) * 5 / 150

t(s)  =  - 59/ 30

t(s)  =  - 1.96

Comparing t(s)  and t(c)  

|t(s)| > |t(c)|

Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

b) The point estimate for the difference is :   x  - μ  =  59 $

Answer b

Step-by-step explanation: :)

Answer:

A. the maximum value would increase

C. the median would stay the same

Answer:

$42.7893 or $42.79 rounded

Answer:

C. 44.805

Step-by-step explanation:

41,390,000 milligrams is 41.39 in kilograms and then 3,415 grams in kilograms is 3.415 so add those up 41.39+ 3.415= 44.805kg

The total weight in kilograms is C. 44.805 kg

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Convert mg to kg;

Caroline weighs 41,390,000 mg

1 mg = 0.000001 kg

41,390,000 mg = x

x = 41,390,000 mg × 0.000001 kg

= 41.39 kg

Now, Converting her baby sister's weight to kg

1000g = 1 kg

3415 g = x

Cross Multiply;

1000x = 3415g × 1 kg

x = 3415g × 1 kg/1000

x = 3.415 kg

Therefore, the total weight in kilograms is;

41.39 kg + 3.415 kg

= 44.805 kg

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

Within 0.5 of ;

is not ;

Step-by-step explanation:

Given the data:

The actual standard deviation, = 1

;

The range rule of thumb to estimate the value if standard deviation is ;

Estimated standard deviation = Range / 4

The range = (maximum - minimum) values

The estimated standard deviation = 4 / 4 = 1

Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.

Answer:

percent: 45%

fraction: 11/20

Step-by-step explanation:

6 cm.

Explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a

=

1

2

h

b

→

(

h = height

,

b= base

)

We know:

a

=

24

h

=

8

So we can substitute them in and find

b

:

24

=

1

2

(

8

)

b

Multiply by sides by 2 and then divide:

24

×

2

=

1

2

(

8

)

b

×

2

48

=

8

b

6

=

b

The base of the triangle is

6 cm.

ur welcome ♥️♥️

Answer:

7^5

Step-by-step explanation:

7x7x7x7x7 is equal to 7^5. Depending on how much sevens there are, that is the power number. In this case there are 5 sevens so that means it is 7^5.

If this helps please mark as brainliest

Answer:

7^5

Step-by-step explanation:

see image below:)

Answer:

Straight

Step-by-step explanation:

Its 180° or a straight line

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Straight po di kopo sure

Step-by-step explanation:

Hope it helps

The probability that Belle will select two hearts is 2/15.

To find the probability of Belle selecting two hearts, we need to calculate the probability of selecting a heart on the first draw and then, given that the first card was a heart, the probability of selecting another heart on the second draw.

Total number of cards = 3 (star cards) + 4 (hearts cards) + 3 (spade cards) = 10 cards

Probability of selecting a heart on the first draw = 4 (hearts cards) / 10 (total cards) = 2/5

After selecting a heart on the first draw, there will be 9 cards remaining, with 3 hearts cards left.

Probability of selecting a heart on the second draw, given that the first card was a heart = 3 (hearts cards) / 9 (remaining cards) = 1/3

To find the probability of both events happening (selecting two hearts), we multiply the probabilities:

Probability of selecting two hearts = (2/5) x (1/3) = 2/15

Therefore, the probability that Belle will select two hearts is 2/15.

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

9514 1404 393

Answer:

  1328.4 square units

Step-by-step explanation:

The total surface area is the sum of the areas of the trapezoidal bases, and the areas of each of the four rectangular faces.

The area of each trapezoidal base is ...

  A = 1/2(b1 +b2)h

  A = 1/2(10 +24)(9) = 153 . . . . square units

__

The total area of the four rectangular faces is ...

  A = bh . . . . area of one face

  A = 11.4(18) +10(18) +11.4(18) +24(18) = (11.4 +10 +11.4 +24)(18) = 1022.4

So, the total area is ...

  SA = 2×base area + face area

  = 2×153 +1022.4 = 1328.4 . . . . square units

Each shaded area represents a probability. The first plot, for instance, represents the probability P (-z ≤ Z ≤ z) = 0.8064 for some number z that you have to find. To find these z, you'll need to be familiar with properties of the normal distribution as well as with lookup tables for z-scores or using inverse CDFs. (I'll provide a link in the comments to a calculator you can use.)

(a) The area under the curve between -z and z is 0.8064. This means the area outside this interval is 1 - 0.8064 = 0.1936. Because the distribution is symmetric about its mean (0 for the standard normal distribution), you know that the area under the curve to either side of the shaded region is half of this, or 0.0968. This area corresponds to the probability P (Z ≤ -z).

So you have

P (-z ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ -z) … … … (a property of continuous distributions)

0.8064 = P (Z ≤ z) - 0.0968   ==>   P (Z ≤ z) = 0.9032

and looking up the z-score, you would find z = 1.3.

(b) Because this distribution is symmetric about the mean, the mean is the same as the median, which is the number z such that P (Z ≤ z) = 0.5. In other words, half of the entire distribution falls to either side of the mean.

We use this fact to write

P (0 ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ 0) = P (Z ≤ z) - 0.5 = 0.4452

==>   P (Z ≤ z) = 0.9452

==>   z ≈ 1.6000

(c) Keep in mind that the CDF is defined as P (Z ≤ z), so in order to find a probability like P (Z ≥ z), you have to take the complement:

P (Z ≥ z) = 1 - P (Z ≤ z) = 0.1711   ==>   P (Z ≤ z) = 0.8289

==>   z ≈ 0.9498

(d) Same reasoning as in (c):

P (Z ≥ z) = 1 - P (Z ≤ z) = 0.9918   ==>   P (Z ≤ z) = 0.0082

==>   z ≈ -2.3999

(e) Much more straightforward:

P (Z ≤ z) = 0.9115   ==>   z ≈ 1.3501

Answer:

maybe it's option 'B' because it earns interest

Answer:

41

Step-by-step explanation:

0,5r = 20,5|:0,5

r = 41

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

Answer:

Radius: 7 cm

Diameter: 14 cm

Circumference Formula: c = dπ or c = 2rπ

Circumference Value: c = 14π or c = 2(7π)

Step-by-step explanation:

We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D

Answer:

c. 250

Step-by-step explanation:

Answer:

1

Step-by-step explanation: