What number could replace r below?
3/4=6/r

Answer:

The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.

Step-by-step explanation:

Typically there are about 52 such attempts noted each day. Test if there has been a statistically significant increase.

At the null hypothesis, we test if the mean is the same, that is of 52. Thus:

\(H_0: \mu = 52\)

At the alternative hypothesis, we test if there has been an increase, that is, if the mean is greater than 52. So

\(H_1: \mu > 52\)

Use the standard level for alpha.

So \(\alpha = 0.05\)

The test statistic is:

We have the standard deviation for the sample, so t-distribution.

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

52 is tested at the null hypothesis:

This means that \(\mu = 52\)

Over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2.

This means that \(n = 30, X = 57, s = 17.2\)

Value of the test statistic:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{57 - 52}{\frac{17.2}{\sqrt{30}}}\)

\(t = 1.59\)

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 57, which is a right-tailed test with t = 1.59 and 30 - 1 = 29 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.0613.

The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.

The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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Answer:

√33 ≈ 5.7

Step-by-step explanation:

The length of the bottom diagonal is given by pythagoras, let's call it d:

\(d =\sqrt{5^2+2^2}\)

Then, the length of the diagonal through the box is also given by pythagoras as:

\(\sqrt{d^2 + 2^2}\)

In total, that is:

\(\sqrt{5^2 + 2^2 + 2^2} = \sqrt{33} \approx 5.7\)

The formula

x + y = 32

Find our X value

y + 14 = x

Sub for x

(y + 14) + y = 32

Remove Parathesis

y + 14 + y = 32

Add

2y + 14 = 32

Subtract

2y = 18

Divide

y = 9

Sub for y

x + 9 = 32

Subtract

x = 23

Double Check:

9 + 14 = 23

23 + 9 = 32

I hope this helps! :)

A. Ram spent $18 on six pens and six books. The grand total is $72.

B. The cost of each pen is $9.

C. The variable is called x.

What is an equation?

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Here, we have

Given: the equation 6x + 18 = 72:

A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.

B. The following equation will be used to demonstrate this:

6x + 18 = 72

Compile similar terms.

6x = 72 - 18

6x = 54

On dividing,

x = 54 / 6.

x = $9

Hence, each pen will set you back $9.

C. The variable's value is x = 9.

Hence, the pen's price is 9.

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Answer:

p O H = 2.35

Step-by-step explanation:

Answer:

27.41%

Step-by-step explanation:

Data provided in the question

The staffed of Alpha company = 79%

The staffed of Beta company = 62%

Based on the above information, the relative change of staffing from Alpha to beta company is

As we know that

\(\bold {\ Relative \ change = \frac{\alpha- \beta }{\beta }}\)

\(= \frac{(79 -62)}{62} \% \\\\= \frac{17}{62} \times 100\\\\=0.2741 \times 100\\\\=27.41\ \%\)

By applying the above formula we can get the relative change and the same is to be applied so that the correct percentage could come

Answer:

To get the price of 1 each

$80.50÷7=

$11.50

To get the price of 10

$11.50×10

=$115

Answer:

The number under the fraction line tells how many equal parts the whole was broken into

a) -32.06 (To the nearest hundredth)

b) -37.7 (To the nearest tenth)

c) 3.1 (To the nearest tenth)

d) 5.86  (To the nearest hundredth)

f) -4.33  (To the nearest hundredth)

g) 11.44  (To the nearest hundredth)

h) 62x + 45 = 38x + 79

i) 46y - 18 = -37y

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two expressions separated by an equal sign (=), and shows the relationship between the variables present in the equation. Equations are used to model real-world problems and find solutions to various mathematical problems.

They can be solved for a specific variable by using various mathematical methods and techniques.

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Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem  iis  approximately 16 units

The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the  point.

The coordinates of the vertices of the polygon are;

(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)

The length of the sides are therefore;

3 - 1 = 2,

√((-1 - (-3))² + (5 - 3)²) = 2·√2

√((2 - (-1))² + (4 - 5)²) = √(10)

4 - 1 = 3

2 - (-3) = 5

The perimeter is therefore;

2 + 2·√2 +  √(10) + 3 + 5  ≈ 16

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Answer:

x=66

Step-by-step explanation:

A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x

L := laptop

D := desktop

before finance, equation 1:

Di = 6% = 0.06 (desktop interest per year)

Li = 7% = 0.07 (laptop interest per year)

For one year, the total finance charge is (equation 2):

We substitute L (the equation 1) to the equation 2:

Then we substitute the value D in equation 1 to find the laptop price:

Therefore, the laptop and desktop prices are $1800 and $2100, respectively.

Therefore , the solution of the given problem of interest comes out to be

A = $3,130.37  is the amount after 15 years.

Simple interest is calculated by dividing the principal by the borrowing cost, the remaining time, and other elements. The simple return formula in marketing is principal + interest plus hours. Utilizing this method is the simplest way to calculate interest. As a percentage of the principle sum is the most frequent way to calculate income. For instance, he will only pay his portion of the 100% cost if he borrows $100 from a friend and agrees to pay the loan back with 5% interest.. You have to pay interest on money you borrow, and you have to charge interest on money you lend.

Here,

Given :  

a ) the equation that can be formed is

2500x - 1.5y = 30

b)

Using compound formula :

=> Then solve the equation for A

A = P(1 + r/n)nt

A = 2,500.00(1 + 0.015/12)(12)(15)

A = 2,500.00(1 + 0.00125)(180)

A = $3,130.37

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The value of the circle is 20 while the triangle is 35

From the figure, we have

Three circles and Two triangles

Such that:

Three circles = 60

One circle and Two triangles = 90

Represent the circle with x and the triangle with y

So, we have

3x = 60

x + 2y = 90

The above forms a system of linear equations

Divide 3x = 60 by 3

x = 20

Substitute x = 20 in x + 2y = 90

20 + 2y = 90

This gives

y = 35

So, we have

Circle = 20

Triangle = 35

Hence, the values of the shapes are 20 and 35, respectively

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The distance between M and H is given as follows:

x = 21.3.

Similar triangles are triangles that share these two features presented as follows:

The proportional relationship between the side lengths is given as follows:

x/18 = 24/16

Applying cross multiplication, the distance between M and H is obtained as follows:

16x = 24(18)

x = 24 x 18/16

x = 27.

The diagram is given by the image presented at the end of the answer.

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42 cans each 1.5 litres in capacity can be filled from a tank containing 63 litres of water.

Given, the capacity of each can is 1.5 litres and the tank holding 63 litres of water. We have to find the number of cans that can be filled from the tank containing 63 litres of water.

Let x number of cans can be filled from the tank containing 63 litres of water having each 1.5 litres in capacity, we have

x = 63/1.5

x = 630/15

x = 42

∴ The required answer is 42.

Hence, 42 cans each 1.5 litres in capacity can be filled from a tank containing 63 litres of water.

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Answer:

4y

Step-by-step explanation:

y - (-3y)

y + 3y

4y

When you see two negatives they basically become an addition symbol. In this case you then add the like terms which are y and 3y to get 4y. Hope this helps!!

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

Answer:

C.

Step-by-step explanation:

The median is the line in the middle of the box plot.

C is the answer because 75 is the largest median out of all the choices.

Answer:

The

3

mile cab ride includes a basic charge as well as the cost for the distance covered.

For a

6

mile trip, the cost is

$

4.80

which means that :

The cost of

3

miles is

$

4.80

−

$

3.00

=

$

1.80

Therefore the cost for

1

mile is

$

1.80

÷

3

=

$

0.60

The basic fee for hiring the cab is

$

3.00

−

$

1.80

=

$

1.20

So the total cost,

c

for a trip of

d

miles will be:

c

=

0.6

d

+

1.2

Check:

If

d

=

3

c

=

0.6

(

3

)

+

1.2

=

3

If

d

=

6

c

=

0.6

(

6

)

+

1.2

=

4.8

Step-by-step explanation:

The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.

Hence,

The number of possible "Sizes" from the specified 4 sizes are ⁴C₁

The number of sorts of bun that is possible from the specified two bun types is:  ²C₁

From the four sides, the number of possible side purchases is:  ⁴C₁

Of the available four drinks, the number of the possible drinks is: ⁴C₁

Now the possible number of all lunches are:

⁴C₁ x  ²C₁ x  ⁴C₁ x  ⁴C₁

= 4 x 2 x 4 x 4

= 128

Hence the number of Kid's Lunches that are possible are 128.

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Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

Percentage of adults = 80%

Number of adults = 2000

Step-by-step explanation:

Percentage of men = 2/5 x 100 = 40%

Percentage of women = 2/5 x 100 = 40%

Percentage of adults = 40+ 40= 80%

If there are 2500 people, then number of adults
= 2500 x 80%

= 2500 x 80/100

= 2000 adults

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

9514 1404 393

Answer:

  A: 66/21

  E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

  A: 66/21 = 22/7 = 3 1/7

  B: 60/20 = 3

  C: 21/7 = 3

  D: 45/15 = 3

  E: 22/7 = 3 1/7

___

Comment on pi approximations

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

Answer:

- 3

Step-by-step explanation:

Step 1:

3/2 + ( - k ) + ( - 2 )          Equation

Step 2:

3/2 + ( - 5/2 ) + ( - 2 )     Substitute k

Step 3:

3/2 - 5/2 - 2      Open Parenthesis

Step 4:

- 1 - 2        Subtract

Answer:

- 3     Subtract

Hope This Helps :)

Answer:

Given Figure has set of Stacked cubes.

To Draw the Base Plan, lets see its right side, Left Side and Front side view.

Right side:

It has 3 cubes in base.

2 cubes in 2nd layer clearly seen in figure and only 1 cube in 3rd layer.

Left Side:

It has 2 Cubes in base.

Both Cubes attached to 1st and 2nd cube of right side cubes.

Front Side:

It can be seen that, here base only has 2 rows of cubes.

Therefore,  1st Figure is correct Base Plan (or enclosed figure)

Note: Numbers in enclosed figure just shows the total no. of cubes in that stack.

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