Help me I am suffering from math T-T

Answer:

Garth didn't save in the bank or buy raffle tickets

Step-by-step explanation:

Garth earns $9.32 per hour. One week, he works 16 hours, thus his earnings that week were 16*$9.32=$149.12.

The question specifies Garth deposits $150 in a bank and decides to use the rest to buy raffle tickets, but he didn't earn enough money to save that much.

This problem cannot continue since the earnings are not enough to save or buy anything.

Answer: Garth didn't save in the bank or buy raffle tickets

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

The angle measure explained in the solution.

Given that, a || b, we need to find the missing angles,

∠1 = 42° [vertically opposite angles]

∠3 = 62° [vertically opposite angles]

∠2 = 180°-(∠1+62°) [angle in a straight line]

∠2 = 76°

∠4 = ∠2 [vertically opposite angle]

∠4 = 76°

∠4 = ∠9 = 76° [alternate angles]

∠9 = ∠12 = 76° [vertically opposite angle]

∠3 = ∠ 6 = 62° [alternate angles]

∠ 6 = ∠7 = 62° [vertically opposite angle]

∠3 + ∠5 = 180° [consecutive angles]

∠5 = 118°

∠5 = ∠8 = 118° [vertically opposite angle]

∠4 + ∠10 = 180° [consecutive angles]

∠10 = 104°

∠10 = ∠11 [vertically opposite angle]

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The mean number of unoccupied seats per flight during the past year will lie between 11.15 and 12.05.

What is mean in mathematics?

There are many mean types in maths, particularly in statistics. Each mean serves to condense a specific set of data, frequently so that the general magnitude and sign of the data set can be better understood.

The arithmetic mean, also referred to as "arithmetic average," is a calculation that divides the total number of values in a data collection by their sum to get the central tendency of that set of numbers.

a) Calculations:

Degrees of freedom = n - 1 = 225 - 1 = 224

For 224 degrees of freedom and 90% confidence interval,

Critical t value = 1.652

Hence,

90% confidence interval will be:

\(11.6 \pm 1.652*4.1/\sqrt{225}\)

\(11.6 \pm 0.45\)

(11.15, 12.05)

b) Interpretation:

We are 90% confident that the population mean number of unoccupied seats will lie between 11.15 and 12.05

c) Caution with interpretation:

In this scenario, individual confidence interval should be calculated rather than mean number of unoccupied seats since we can't generalize this interpretation for individual flights.

d) To narrow a confidence interval, we can either increase the sample size or can decrease the confidence level.

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Complete question

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoccupied seats per flight over the past year. To accomplish this, the records of 225 flights are randomly selected, and the number of unoccupied seats is noted for each of the sampled flights (from text, p. 306, example 6.3; use NOSHOW excel file). Given the mean number of unoccupied seats for the 225 random flights is 11.6 and the standard deviation is 4.1, estimate μ, the mean number of unoccupied seats per flight during the past year, using a 90% confidence interval.

a. Calculations

b.Interpretation

c.Caution with interpretation

d.How to narrow a confidence interval

Answer:

\(\boxed {\boxed {\sf A.\ r=0.17454}}\)

Step-by-step explanation:

The correlation coefficient helps us understand the relationship between variables.

A positive correlation is a positive number. A negative correlation is a negative number.

We can automatically eliminate choices B and D because they are negative, but we are looking for a positive correlation.

A number closer to 1 indicates a strong correlation. If the number is closer to 0, it's weak.

The two choices left are:

C is very close to 1, so it's a strong correlation.

We want to find the weak one, which must be A because it is closer to 0.

Answer:

i do not know

Step-by-step explanation:

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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LOL LOL LOL LOL LOL LOL LOl LOL

Answer: 1 1/2

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

All of these are odd numbers 52 isn't not a odd number so it doesn't belong...

When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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Answer:

U = 16 oz

0 = 0.5 oz

Step-by-step explanation:

Use z-table to find z-scores for the percents

z-score for 15% = -1.04

z-score for 90% = 1.28

z = x - U / 0

First equation: -1.04 = 15.48 - U / 0

Second equation: 1.28 = 16.64 - U / 0

Solve first equation for U: U = 1.04 0 + 15.48

Multiply both sides of the second equation by 0: 1.28 0 = 16.64 - U

Substitute the first equation for U into the second equation and solve for 0: 1.28 0 = 16.64 - (1.04 0 + 15.48)

1.28 0 = 16.64 - 1.04 0 - 15.48

2.32 0 = 1.16

0 = 0.5

Substitute the value of 0, 0.5, into the first equation and then solve for U: 1.04 (0.5) + 15.48 = 16

Tax the assesed home would increase the total amount paid

The tax of a home assesed at $150,000 is $1500

The given parameter can be represented using the following ratio:

Ratio = Tax : Amount

So, we have:

$10 : $1000 = Tax : $150000

Express as fraction

10/1000 = Tax/$150000

Multiply both sides by $150000

Tax = $1500

Hence, the tax of a home assesed at $150,000 is $1500

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Answer:

15cm

Step-by-step explanation:

the width is xcm

22 + 22 + 2x = 74

44 + 2x = 74

2x = 30

x = 15

the width is 15cm

Answer:

B

Step-by-step explanation:

Since you are given line RT and ND, then all you need to do by ASA is the make sure that the angles are the two endpoints are congruent. Since the problem already gave you R and N, then all thats left is to relate the other two endpoints, namely, T and D

The temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

The formula to convert the temperature from Celcius to Fahrenheit is:

\(\textdegree F = (\textdegree C * 1.8) + 32\)

We need to calculate the temperature change of \(6 \textdegree C\) in Fahrenheit:

\(\Delta \textdegree C = 6\\\Delta \textdegree F = \Delta \textdegree C * 1.8 = 10.8\)

The temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

We can calculate the  Fahrenheit temperature of the water and the desired temperature in Fahrenheit:

\(^{\circ}C = 19\\^{\circ}F = (19 * 1.8) + 32 = 66.2\)

\(^{\circ}C = 25\\^{\circ}F = (25 * 1.8) + 32 = 77\)

The current temperature of the pool is \(66.2 ^{\circ} F\) and the desired temperature is \(77 ^{\circ} F\).

Therefore the temperature needs to be increased by:

\(\Delta ^{\circ}F = 77 - 66.2 = 10.8 ^{\circ}F\)

which is the same temperature change we calculated earlier in Fahrenheit.

Therefore, the temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

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Answer:

Both studies used a two-sided test with a null hypothesis of p = 0.5. However, the shoe company used a larger sample size, which would result in a smaller standard error and a more precise estimate of the true proportion.

Assuming that the sample proportions are accurate representations of the true proportions, the study with the larger sample size (the shoe company) would have a smaller P-value. A smaller P-value indicates stronger evidence against the null hypothesis and in favor of the alternative hypothesis that the true proportion is different from 0.5.

Therefore, the study about shoe colors would have a smaller P-value.

Answer:

Miki had 288 stickers and Ken had 252 stickers.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

Miki has x stickers.

Ken has y stickers.

The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.

This means that \(\frac{x}{y} = \frac{8}{7}\), that is: \(7x = 8y\), or \(x = \frac{8y}{7}\)

After Miki gave Ken 18 of her stickers, they had the same number of stickers.

This means that:

\(x - 18 = y + 18\)

\(x - y = 36\)

Since \(x = \frac{8y}{7}\)

\(\frac{8y}{7} - y = 36\)

\(\frac{8y}{7} - \frac{7y}{7} = 36\)

\(\frac{y}{7} = 36\)

\(y = 36*7 = 252\)

And

\(x - y = 36\)

\(x = 36 + y = 36 + 252 = 288\)

Miki had 288 stickers and Ken had 252 stickers.

Answer:

Step-by-step explanation:

(x-5)2+8 = 92

2x-10+8 = 92

2x = 94

x = 47

Answer:

Step-by-step explanation:

2(n-5)+8=92

2n-10+8=92

2n-2=92

2n=94

n=47

Answer:

i do not know srry but i can guess

Step-by-step explanation:

The required unit would you use to measure the length of our classroom are meters or feet.

The usual measurement equipment is composed of thermometers, rulers, yardsticks, scales, beakers, protractors, clocks, and measuring tape. Knowing how to use each instrument properly can make measuring more accurate and enjoyable. Each tool has a unique purpose.

To measure the length of a classroom, you would use the unit of meters or feet.

These are commonly used units for measuring length or distance. For example, you might say "The length of the classroom is 10 meters" or "The classroom is 30 feet long". The specific unit used might depend on the location and the system of units (metric or imperial) that is commonly used in that area.

It's important to choose a unit that is appropriate for the task at hand, and to be consistent in using that unit throughout the measurement process.

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An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

ST=13

Step-by-step explanation:

3x + 7 +4x - 3= 5x + 12

7x+4=5x+12

2x+4=12

2x=8

x=4

plug 4 into x for ST

If we stack the prism of each one of you, we would get the following solid:

As you can see, the width (2 cm) and length (4 cm) of the prism remain the same, only the height changed, now it is 3 cm since we are staking 3 prisms of 1 cm height each.

For rectangular prisms, we can calculate the volume by means of the following formula:

Where l is the length, w is the width and h is the height of the prism, by replacin

Answer:

\(6,10\)

Step-by-step explanation:

Method 1:

\(\mathrm{Let\ two\ numbers\ be\ x\ and\ y\ such\ that:}\\\mathrm{x:y=3:5\ \ \ \ and\ \ \ \ x+y=16}\\\mathrm{or,\ \frac{x}{y}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3y..........(1)}\\\mathrm{Also\ we\ have}\\\mathrm{x+y=16}\\\mathrm{or,\ 5(x+y)=5(16)}\\\mathrm{or,\ 5x+5y=80}\\\mathrm{or,\ 3y+5y=80\ [From\ equation\ 1]}\\\mathrm{or,\ 8y=80}\\\mathrm{or,\ y=10}\\\mathrm{From\ equation\ 1,}\\\mathrm{5x=3y}\\\mathrm{or,\ 5x=3(10)=30}\\\mathrm{\therefore x=6}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 1:

\(\mathrm{Let\ the\ two\ numbers\ be\ x\ and\ 16-x.}\\\mathrm{Then,\ we\ have}\\\mathrm{x:(16-x)=3:5}\\\\\mathrm{or,\ \frac{x}{16-x}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3(16-x)=48-3x}\\\mathrm{or,\ 5x+3x=48}\\\mathrm{or,\ 8x=48}\\\mathrm{\therefore x=6}\\\mathrm{So,\ the\ other\ number=16-x=16-6=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 2:

\(\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 5x.}\\\mathrm{Then,}\\\mathrm{3x+5x=16}\\\mathrm{or,\ 8x=16}\\\mathrm{or,\ x=2}\\\mathrm{So,\ first\ number=3x=3(2)=6}\\\mathrm{Second\ number=5x=5(2)=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Given:

Amount Nicole borrowed = $1100

Annual interest rate = 7%

Duration = 6 months

Let the amount of interest be x

The amount after t years can be calculated using the formula:

The interest that she would pay can be calculated using the formula:

The amount after 6 months is:

Hence, the interest:

Answer: $38.5

Answer: X= 108125 and  Y  = 373125.

Step-by-step explanation:

Given system :

\(X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)\)

Consider (ii)

\(Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500\)

Multiply 10 on both sides , we get

\(10Y-X=265000 (iii)\)

Add (i) and (iii)

\(10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125\)

Put this in (i)

\(X= 33500+0.2(373125) =108125\)

Hence, X= 108125 and  Y  = 373125.

1. The solution to the system 0.6x + 0.7y = 2 and 0.4x + 0.3y = 1 is x = 1.2857 and y = 1.4286.

2. The solution to the system 2x + 3y + z = 10, 7x + 2y + z = 20, and x + 5y + 8z = 30 is x = 2.4286, y = 0.0952, and z = 3.7730.

3. The solution to the system 4y + 3z = 8, 2x - z = 2, and 3x + 2y = 5 is x = 1, y = 2.5, and z = 4/3.

4. The solution to the system 10x2 + 4x32x4 = -4, -3x1 - 17x2 + x3 + 2x4 = 2, x1 + x2 + x3 = 6, and 8x134x2 + 16x3 - 10x4 = 4 is x = -8/10, y = 2, z = 4/7, and w can take any value.

Sure, let's solve each linear system using Gaussian elimination and row echelon form.

The augmented matrix for the system is:

| 0.6 0.7 | 2 |

| 0.4 0.3 | 1 |

To perform Gaussian elimination, we'll use row operations to eliminate the x-coefficient in the second equation.

Multiply the first equation by 0.4 and subtract it from the second equation.

| 0.6 0.7 | 2 |

| 0 -0.14 | -0.2 |

Now, divide the second row by -0.14 to get a leading coefficient of 1.

| 0.6 0.7 | 2 |

| 0 1 | 1.4286 |

Next, we'll eliminate the x-coefficient in the first equation by multiplying the second equation by -0.6 and adding it to the first equation.

| 0.6 0 | 0.7714 |

| 0 1 | 1.4286 |

The system is now in row echelon form. To solve for x and y, back-substitution can be applied.

From the second equation, y = 1.4286.

Substituting y into the first equation, 0.6x = 0.7714, which gives x = 1.2857.

Therefore, the solution to the system is x = 1.2857 and y = 1.4286.

The augmented matrix for the system is:

| 2 3 1 | 10 |

| 7 2 1 | 20 |

| 1 5 8 | 30 |

We'll start by eliminating the x-coefficient in the second and third equations.

Multiply the first equation by -3.5 and add it to the second equation.

Multiply the first equation by -0.5 and add it to the third equation.

| 2 3 1 | 10 |

| 0 -10.5 -2.5 | -5 |

| 0 3.5 7.5 | 25 |

Now, divide the second row by -10.5 to get a leading coefficient of 1.

| 2 3 1 | 10 |

| 0 1 0.2381| 0.4762 |

| 0 3.5 7.5 | 25 |

Next, eliminate the x-coefficient in the third equation by multiplying the second equation by -3.5 and adding it to the third equation.

| 2 3 1 | 10 |

| 0 1 0.2381| 0.4762 |

| 0 0 6.1905| 23.3333 |

The system is now in row echelon form. To solve for x, y, and z, back-substitution can be applied.

From the third equation, z = 3.7730.

Substituting z into the second equation, y + 0.2381z = 0.4762, which gives y = 0.0952.

Substituting y and z into the first equation, 2x + 3y + z = 10, we find x = 2.4286.

Therefore, the solution to the system is x = 2.4286, y = 0.0952, and z = 3.7730.

The augmented matrix for the system is:

| 0 4 3 | 8 |

| 2 0 -1| 2 |

| 3 2 0 | 5 |

To eliminate the x-coefficient in the second and third equations, multiply the first equation by 2 and subtract it from the second equation.

Multiply the first equation by 3 and subtract it from the third equation.

| 0 4 3 | 8 |

| 2 0 -1| 2 |

| 3 2 0 | 5 |

The system is already in row echelon form. Let's solve for x, y, and z.

From the third equation, 2y = 5, which gives y = 2.5.

Substituting y into the second equation, 2x - z = 2, we find 2x - z = 2.

Substituting y and z into the first equation, 4 + 3z = 8, we get 3z = 4, which gives z = 4/3.

Therefore, the solution to the system is x = 1, y = 2.5, and z = 4/3.

The augmented matrix for the system is:

| 10 2 32 | -4 |

| -3 -17 1 | 2 |

| 1 1 1 | 6 |

| 8 13 -10| 4 |

We'll use row operations to convert the matrix into row echelon form.

| 10 2 32 | -4 |

| 0 -173 -32 | -2 |

| 0 0 -7 | -4 |

| 0 0 0 | 0 |

The system is now in row echelon form. To solve for x, y, z, and w, back-substitution can be applied.

From the third equation, -7z = -4, which gives z = 4/7.

Substituting z into the second equation, -173y - 32z = -2, we find -173y - 32(4/7) = -2, which gives y = 14/7.

Substituting y and z into the first equation, 10x + 2y + 32z = -4, we get 10x + 2(14/7) + 32(4/7) = -4, which simplifies to 10x = -8.

Therefore, the solution to the system is x = -8/10, y = 2, z = 4/7, and w can take any value.

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You can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.

Estimation is a rough calculation or judgment using available information based on their face values without going into detail.

Estimation, which is based on approximation, helps to determine if a reasonable solution has been found before the events occur when the actual calculations are carried out.

Estimation ensures that the obtained data or results do not vary greatly from the central values. Estimation helps calculations without adequate data and when computations involve large numbers.

Thus, you can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.

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