Paul says that 150% of a number is the same as 100% of the number plus 50% of the number. Is he correct?

Answer

B.

Step 1: Calculate the price of 3 biscuits.

Step 2: Calculate the price of 3 sausages.

Step 3: Add the total amounts from Steps 1 and 2 to the amount of the tip.

Step 4: Subtract that total amount from $25.

Step-by-step explanation:

The total amount paid will be the price for 3 biscuits, 3 sausages, and the tip. The change will be the difference between this sum and $25. Choice B is an example of one way this calculation can be done.

Answer:

1 1/2 or 1.5

Step-by-step explanation:

If they split 1/2 of the bar with each other

3 bars x 1/2 split bar = 1.5 or 1 1/2 of the shared amount

3 *1/2=1.5 or 1 1/2

Answer:

I'm pretty sure the answer is 19.425

You have to round up or down because it is money.

The answer is $19.43

Step-by-step explanation:

I really hope this is correct.

Answer:

$19.43

Step-by-step explanation:

At first you get 19.425

But money only has 2 decimal places and the 5 tells to to round the 2 up to 3

Answer:

[tex](f+g) (x)=\mid 3x+5\mid+13[/tex]

Step-by-step explanation:

Operation of Functions

Given:

[tex]f(x)=\mid 3x+5\mid+6[/tex]

[tex]g(x)=7[/tex]

The sum of (f+g) (x) is:

[tex](f+g) (x)=\mid 3x+5\mid+6+7[/tex]

We cannot operate with the expression inside the absolute bars, thus:

[tex]\boxed{(f+g) (x)=\mid 3x+5\mid+13}[/tex]

The location of the circumference of a circle is the set of points that are equidistant from a given point

Reason:

Given information;

The distance of Rosey from Billy = 10 feet

The distance of the rest of the class from Bill = 10 feet

Required:

The shape the positions of the class formed in relation to Billy

Solution;

The distance from Billy to each pupil in the class is equal, (10 feet), therefore, Billy is at a central position to the rest of the class

Therefore, the shape that the rest of the class form in relation to Billy is a figure that has Billy as the center or centroid

If the number of pupils in the class is sufficiently, large, the shape formed will be a circle, given that a circle is formed by the set of points that have equal distance from a particular points

Therefore, the shape formed by the rest of the class in relation to Billy is the shape of a circle

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Answer:

8/25

Step-by-step explanation:

Answer:

answer is b. a rectangle is folded by a vertical and horizontal line going through its center

Step-by-step explanation:

if you folded it along the lines of symmetry, the rectangle would line up with itself

A rectangle is folded by a vertical and horizontal line going through its center, has all the correct lines of reflectional symmetry for the rectangle.

A well-balanced proportion in which two images or figures are the same size and shape is referred to as symmetry.

When the same figure is obtained following a transformation in geometry whether it be a reflection or a rotation symmetry has occurred.

An example of a shape with reflection symmetry is a rectangle. A line of reflection that passes through the center of two different sides will always be symmetrical.

There are two symmetry lines in a rectangle.

Each side of the rectangle would match up exactly if the rectangle were folded along each line of symmetry.

Keep in mind that a shape must possess at least one line of symmetry in order to qualify as having reflection symmetry.

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Step-by-step explanation:

Answer:

The practices were successful in increasing voter turnout among registered Republicans.

Step-by-step explanation:

The missing data is attached below.

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether the practices were successful in increasing voter turnout among registered Republicans.

The hypothesis for the test can be defined as follows:

H₀: The practices were not successful in increasing voter turnout among registered Republicans, i.e. d ≤ 0.

Hₐ: The practices were successful in increasing voter turnout among registered Republicans, i.e. d > 0.

Use Excel to perform the paired t-test.

Go to Data → Data Analysis → t-Test: Paired Two Sample for Means

A dialog box will open.

Select the variables.

Set the Hypothesized mean difference as 0.

Press OK.

The output is attached below.

The test statistic value is, t = 5.409.

The degrees of freedom is, df = 9.

The p-value for he one-tailed test is, p-value = 0.00021.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.

Thus, concluding that the practices were successful in increasing voter turnout among registered Republicans.

Answer:it would be ten weeks I think

Step-by-step explanation:

Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten

8.50 *10 = 85

Answer:

Answer:it would be ten weeks I think

Step-by-step explanation:

Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten

8.50 *10 = 85

Answer:

A. x>12

Step-by-step explanation:

8(6x - 7) < 5(9x - 4)

Distribute:

48x-56<45x-20

Move like-terms together:

48x-45x<-20+56

Subtract/add:

3x<36

Divide both sides by 3

x<12

Answer:

B. x< 12

Step-by-step explanation:

Answer:

y=8⇒8=24x

x=24/8=3

Step-by-step explanation:

The value of y when x = 80 is 20.

It is required to find the value of y.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Solution:

"Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX

"K" is the constant of proportionality and must be determined from the initial information.

According to given question we have,

If Y = 45 when X=180

It means

45 = 180K

K = 45/180

K = 0.25

Now that we know the value of K, we can use it to calculate the value of Y when X=80

Y = (0.25)(80)

Y=20

Therefore, the value of y when x = 80 is 20.

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Answer:

Width = 6 m

Length = 10 m

Step-by-step explanation:

Let the width of the table be x meters.

Therefore, length of the table = (x + 4) meters.

[tex]length \times width = Area \\ \\ x(x + 4) = 60 \\ \\ {x}^{2} + 4x - 60 = 0 \\ \\ {x}^{2} + 10x - 6x - 60 = 0 \\ \\ x(x + 10) - 6(x + 10) = 0 \\ \\ (x + 10)(x - 6) = 0 \\ \\ x + 10 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 10 \: \: or \: \: x = 6 \\ \\ \because \: dimensions \: can \: not \: be \: negative \\ \therefore \: x \notin \: 10 \\ \implies \: x = 6 \\ x + 4 = 6 + 4 = 10 \\ width \: of \: table = 6 \: m \\ length \: of \: table = 10 \: m[/tex]

Answer:

for every 5 boys there are b girls

Step-by-step explanation:

that's how u read ratios, for every x there are y amount of something else. portions is how we'll describe it!!

Answer: C

Step-by-step explanation:

For every five (5) boys, there are eight (8) girls.

ℎ :)

Answer:

8+12= 2x

multiply all of them by power of 2

Step-by-step explanation:

so,

64+144 = 4x

208=4x

x = 52 what is the root of 52 the answer is

x = 7.188 or 3/16

Given:

The function is

[tex]f(x)=3x^3+2x^2+x+4[/tex]

To find:

The value from the given options that is NOT a possible root of the function.

Solution:

According to rational root theorem, all possible roots are in the form of

[tex]x=\dfrac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}[/tex]

We have,

[tex]f(x)=3x^3+2x^2+x+4[/tex]

Here,

Leading coefficient = 3.

Constant term = 4

Factors of 3 are ±1, ±3.

Factors of 4 are ±1, ±2, ±4.

Using rational root theorem, all possible roots of given functions are

[tex]\pm 1,\pm 2,\pm 4,\pm \dfrac{1}{3}, \pm \dfrac{2}{3},\pm \dfrac{4}{3}[/tex]

Clearly, [tex]\dfrac{4}{3},1,2[/tex] are possible roots but [tex]\dfrac{3}{4}[/tex] is not the possible root.

Therefore, the correct option is C.

Answer:

56 photos-7 minutes  

X photos-27 minutes

X=1 512 :7= A scanner will scan 216 photos

Step-by-step explanation:

Answer:

31/20

Step-by-step explanation:

just cross multiply and add

(3x5 + 4x4) / 4x5

Answer: 31/20 or 1.55

Answer:

x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 13 = 8 x + 37

Subtract 8 x + 37 from both sides:

x^2 - 8 x - 24 = 0

Add 24 to both sides:

x^2 - 8 x = 24

Add 16 to both sides:

x^2 - 8 x + 16 = 40

Write the left hand side as a square:

(x - 4)^2 = 40

Take the square root of both sides:

x - 4 = 2 sqrt(10) or x - 4 = -2 sqrt(10)

Add 4 to both sides:

x = 4 + 2 sqrt(10) or x - 4 = -2 sqrt(10)

Add 4 to both sides:

Answer:  x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)

Answer:

M = 4pi²a³ / GT²

Step-by-step explanation:

Cross multiply: T² × GM = GMT²

1 × 4pi²a³ = 4pi²a³

It becomes: GMT² = 4pi²a³

Divide both sides by GT² to solve for M

We have : M = 4pi²a³ / GT²

200m - 100m + 48,250 = 50,250 - 150m

(Add or subtract common variables)

100m + 48,250 = 50,250 - 150m

(Add 150m to both sides)

250m + 48,250 = 50,250

(Subtract 48,250 to both sides)

250m = 2000

(Divide 250 to both sides to isolate m)

m = 8

Answer: 32 1/2 meters = 106.63 ft

Step-by-step explanation: 1 meter is 3 ft and 3.37 inches, or 39.37 inches :)

Answer:   The box is 13,176 cubic inches larger than originally planned.

The side lengths turned out to be 6 inches longer than the 24 inches originally planned.

Step-by-step explanation:

To find the intended volume, "cube" 24  (24×24×24)

[tex]24^{3}= 13824[/tex]

To find the difference, subtract  13,824 from 27,000

27000 - 13824 = 13176

To find the actual side lengths of the box that was built take the cube root of 27000.

[tex]\sqrt[3]{27000}=30[/tex]

To find out how much longer,  subtract 24 from 30.

30 - 24 = 6

Answer:

62

Step-by-step explanation:

i hope it help

Answer:

350

Step-by-step explanation:

8*9-2*5=

72-2*5=

70*5=

350

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events A and B are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

[tex]P(A\cap B)=0[/tex]

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0[/tex]

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, [tex]P(A\cap B)=0[/tex].

Events A and B are independent  if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, [tex]P(A\cap B)=P(A)\times P(B)[/tex].

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that [tex]P(A\cap B)=0[/tex].

Now compute the value of [tex]P(A)\times P(B)[/tex] as follows:

               [tex]P(A)\times P(B)=0.30\times 0.40=0.12\neq 0[/tex]

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

Answer:

a) 180 degrees

b) 120 degrees

c) 90 degrees