Solve the inequality.
-2.5w<6.8
W>?

The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

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(a) For heights less than 164.0 cm, we can use the standard normal distribution table to find the corresponding z-score and calculate the proportion of students below that threshold.
(b) For heights between 171.5 and 187.0 cm, we can calculate the proportion of students within that range by finding the z-scores for the lower and upper bounds and subtracting the corresponding proportions.

(c) For heights equal to 179.0 cm, we can calculate the proportion of students by finding the z-score for that value.
(d) For heights greater than or equal to 193.0 cm, we can find the proportion of students above that threshold by calculating the complement of the proportion below that value using the standard normal distribution table.
(a) To find the proportion of students with heights less than 164.0 cm, we need to calculate the z-score first. The z-score formula is given by (X - μ) / σ, where X is the given height, μ is the mean, and σ is the standard deviation. After calculating the z-score, we can look up the corresponding value in the standard normal distribution table to find the proportion of students below that z-score. This proportion represents the percentage of students expected to have heights less than 164.0 cm.
(b) To find the proportion of students with heights between 171.5 and 187.0 cm inclusive, we follow a similar approach. We calculate the z-scores for the lower and upper bounds of the range and find the corresponding proportions from the standard normal distribution table. By subtracting the lower proportion from the upper proportion, we can determine the percentage of students within that range.
(c) For heights equal to 179.0 cm, we calculate the z-score using the formula mentioned earlier and find the corresponding proportion from the standard normal distribution table. This proportion represents the percentage of students expected to have a height of exactly 179.0 cm.
(d) To find the proportion of students with heights greater than or equal to 193.0 cm, we calculate the z-score and find the proportion below that value using the standard normal distribution table. Then, we subtract this proportion from 1 to obtain the complement, which represents the percentage of students expected to have heights greater than or equal to 193.0 cm.
By applying these calculations and referring to the standard normal distribution table, we can estimate the expected number or percentage of students falling within each height range or threshold.

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One minute has 60 seconds. So we want to know if the car can travel 200 meters in 1 second, how far can it go in 60 seconds?

The speed in meters per minute is 12,000

Answer:

find gradient/slope

-8-(-5) / -2-(-1) = -3/-1

= 3

y=3x+c

perpendicular line formula

m1(m2)= -1

(sub in the gradient before)

3(m2)= -1

m2= -1/3 ( perpendicular line gradient)

y=-1/3x+c

(sub in the coordinate)

-5=-1/3(-3/2)+c

-5=1/2+c

-11/2=c (y intercept)

answer: y= -1/3x - 11/2

The age of Layla who youngest of four siblings is 18 years old

The age of 4 sibling are in consecutive even integers

Age of 1st sibling = x

Age of 2nd sibling = x + 2

Age of 3rd sibling = x + 4

Age of 4th sibling = x + 6

Sum of the sibling age = 84

x + x + 2 + x + 4 + x + 6 =84

4x + 12 = 84

4x = 84 -12

4x = 72

x = 18

Layla is youngest  sibling hence her age will be 18 years

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The question is incorrect the correct question is :

Layla is the youngest of four siblings whose ages are consecutive even integers. If the sum of their ages is 84, find Layla's age

Answer:

Hola soy nuevo busco amigo

The product of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression { 3 + (1/10) } {-6 x (7 / 12) }

Simplifying the expression using PEMDAS,

{ 3 + (1/10) } {-6 x (7 / 12) }

= ( 31 / 10 ) × ( -7 / 2 )

= - 217 / 20

= -10 + (17 / 20)

= negative 10 and 17 over 20

Therefore, the value of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20

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Answer:

D. 10 and 11

Step-by-step explanation:

This problem would use pythagorean theorem because we're finding the hypotenuse of a right triangle. This is its standard equation:

\(a {}^{2} + {b}^{2} = {c}^{2} \)

The legs represent \(a\) and \(b\) respectively, and \(c\) represents the hypotenuse. After plugging in the legs' respective values, the equation looks like this:

\(6^{2} + {9}^{2} = {c}^{2} →36 + 81 = {c}^{2} →117 = c^{2} \)

To isolate \(c\), you would find the square root of \(117\). In this case, we're just finding which integers\( \sqrt{117} \) is between. \(\sqrt{100}(=10)\) is the closest integer value below \(\sqrt{117}\) and \(\sqrt{121}(=11)\) is the closest integer value above \(\sqrt{117}\). So the answer is D. 10 and 11.

The exercise involves calculations with matrices A, B, and C. We need to determine if matrix products AB, BA, BC, and CB are defined. Additionally, we need to calculate the specific matrix products and determine if BC is equal to CB.

Let's perform the calculations step by step:

(a) To determine if AB is defined, we need to check if the number of columns in matrix A is equal to the number of rows in matrix B. If they are equal, the matrix product AB is defined. If not, the product is not defined.

Matrix A has 2 columns and matrix B has 2 rows, so the product AB is defined.

Calculating AB:

AB = [23 + 83 20 + 88]

[23 + 03 20 + 08]

= [30 64]

[6 0]

To calculate BA, we need to check if the number of columns in matrix B is equal to the number of rows in matrix A. In this case, matrix B has 2 columns and matrix A has 2 rows, so the product BA is also defined.

Calculating BA:

BA = [32 + 02 38 + 02]

[32 + 02 38 + 02]

= [6 24]

[6 24]

(b) To determine if BC is defined, we need to check if the number of columns in matrix B is equal to the number of rows in matrix C. In this case, both matrices have 2 columns and 2 rows, so the product BC is defined.

Calculating BC:

BC = [26 + 85 23 + 81]

[06 + 05 03 + 01]

= [52 22]

[0 0]

To calculate CB, we need to check if the number of columns in matrix C is equal to the number of rows in matrix B. In this case, matrix C has 2 columns and matrix B has 2 rows, so the product CB is also defined.

Calculating CB:

CB = [62 + 30 68 + 30]

[52 + 10 58 + 10]

= [12 48]

[10 40]

Is it true that BC = CB?

BC = [52 22]

[0 0]

CB = [12 48]

[10 40]

BC and CB are not equal. The matrix product is not commutative, so BC and CB may yield different results.

In summary:

(a) AB is defined and the result is:

AB = [30 64]

[6 0]

BA is also defined and the result is:

BA = [6 24]

[6 24]

(b) BC is defined and the result is:

BC = [52 22]

[0 0]

CB is also defined and the result is:

CB = [12 48]

[10 40]

BC and CB are not equal, indicating that matrix multiplication is not commutative.

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Answer:

The daily balance method

Step-by-step explanation:

The method of calculating the finance charge that Roger's credit card company uses is A. daily balance method.

The daily balance method of calculating credit card's finance charge uses the actual daily balance of the billing cycle instead of being based on an average of the balance throughout the billing cycle.

Using the daily balance method, the finance charges are calculated by summing daily balance multiplied by the daily rate or APR/365.

APR = 19.40%

Monthly APR = 1.62% (19.4%/12)

Daily APR = 0.053%

Date Transaction         Amount ($)

6/6    Beginning balance 90.00

6/11    Payment                  43.33

6/16   Purchase                  37.71

6/22  Purchase               265.40   $349.78

Finance charge =                                 3.56

Ending balance =                          $353.34

Thus, the method of calculating the finance charge that Roger's credit card company uses is A. daily balance method.

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given coordinates                           dilated coordinates

p' ( 4, 6 )                                               p'' ( 4, -6 )

Q' ( 2, 2 )                                              Q'' ( 2, -2 )

R' ( 6, 2 )                                               R'' ( 6, -2 )

S' ( 6, 6 )                                               S'' ( 6, -6 )  

Given data

p' ( 4, 6 )

Q' ( 2, 2 )

R' ( 6, 2 )

S' ( 6, 6 )

The given coordinates is gotten by ( x, y ) and the coordinates is gotten to be ( x, -y ). Applying the rule is solve as follows:

given coordinates                           dilated coordinates

( x, y )                                                     ( x, -y )

p' ( 4, 6 )                                               p'' ( 4, -6 )

Q' ( 2, 2 )                                              Q'' ( 2, -2 )

R' ( 6, 2 )                                               R'' ( 6, -2 )

S' ( 6, 6 )                                               S'' ( 6, -6 )  

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Answer:

the ratio is 1:50 i don't see anymore ratio underneath

Step-by-step explanation:

Therefore, Ramila's total income is Rs. 1,00,000 and her taxable income is Rs. 88,000. If she is unmarried, she needs to pay an annual tax of Rs. 10,560.

Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". For example, 25% means 25 out of 100 or 0.25 as a decimal. Percentages are often used to express proportions, rates, and changes in values. They are commonly used in finance, economics, statistics, and many other fields.

Here,

Total Monthly Salary of Ramila = Rs. 60,000

Employee Contribution to Fund = 10% of Rs. 60,000 = Rs. 6,000

Employer Contribution to Fund = Rs. 6,000

Total Contribution to Fund = Rs. 6,000 + Rs. 6,000 = Rs. 12,000

Additional Allowances = Rs. 40,000

Gross Monthly Income = Total Monthly Salary + Additional Allowances

= Rs. 60,000 + Rs. 40,000

= Rs. 1,00,000

Taxable Income = Gross Monthly Income - Contribution to Fund

= Rs. 1,00,000 - Rs. 12,000

= Rs. 88,000

Annual Tax = Taxable Income * 12% (Assuming tax rate of 12%)

Annual Tax = Rs. 88,000 * 12/100

= Rs. 10,560

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The supervisor should predict that 200 out of 5,000 tires will have incorrect diameters based on the sample of 75 tires that were checked.

If the quality control supervisor has randomly selected 75 tries to check their diameters and found that 3 of them have incorrect diameters, we can use this information to estimate the proportion of tires in the population that have incorrect diameters.

we can use the sample proportion, which is the number of tires in the manufacturing company sample with incorrect diameters divided by the total number of tires in the sample. In this case, the sample proportion is p = 3/75 = 0.04.

To estimate the number of tires out of 5,000 that should have incorrect diameters, we can multiply the population size by the estimated proportion. This gives:

Number of tires with incorrect diameters = 5,000 x 0.04 = 200

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Answer:

0.025

Step-by-step explanation:

Divide the percentage by 100 to convert it to decmals.

for example 20%=

20

100

=.2

30%=

30

100

=

.3

2.5%=

2.5

100

=

.025

ur welcome

Answer:0.03100  

Step-by-step explanation:

Answer:

0.25 an hour

Step-by-step explanation:

1day=0.5 ft

24hr=6inch

6÷24=0.25

Answer:

1/8 tablespoons

Step-by-step explanation:

Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.

You can do this by multiplying 1/2 by 1/4.

\(\frac{1}{2} * \frac{1}{4} = \frac{1}{8}\)

Answer:

it would be 1/8

Step-by-step explantion:

simply divide

1/2÷4

=1/8

(that should be right)

As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

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Using Law of sines:

Area = 1/2 ab sin C

Replacing:

Area = 1/2 √57 (8.9) sin (7pi/12)

Area = 32.5 units2

Part A: Therefore, the cake weighs 112 ounces. Part B: Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

Part A:

To convert pounds to ounces, we can use the conversion factor: 1 pound = 16 ounces.

Given that the cake weighs 3 (4/1) pounds, we can calculate the weight in ounces as follows:

3 4/1 pounds = 3 pounds + 4/1 pounds = 3 pounds + 4 pounds = 7 pounds

Converting 7 pounds to ounces: 7 pounds × 16 ounces/pound = 112 ounces

Therefore, the cake weighs 112 ounces.

Part B:

To convert gallons to pints, we can use the conversion factors: 1 gallon = 4 quarts and 1 quart = 2 pints.

Given that the running tap dispenses 0.15 gallons of water every second, we can calculate the amount of water dispensed in pints as follows:

0.15 gallons × 4 quarts/gallon × 2 pints/quart = 0.15 × 4 × 2 = 1.2 pints

Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

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Answer:

x + 1/2x OR x + x/2

Both of them are the same. Hope this helps, thank you :) !!

Answer: a

Step-by-step explanation:

Answer:

G slope

Step-by-step explanation:

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

can anybody help maybe b

Answer:

B

Step-by-step explanation:

i took i test trust me ( :

Answer:

140m

Step-by-step explanation:

3/4 = .75

x/.7 = 150/.75

multiply both sides by .7

x = 150/.75 * .7

x = 140m