Anna, Laura and David earn the same monthly salary,

Each month,

Anna saves 19% of her salary and spends the rest of it,

Laura spends 17/20 of her salary and saves the rest of it,

amount of salary David saves : amount of salary he spends = 2 : 8

work out who saves the most of their salary each month,

show how you get your answer

Answer: 2 Kilometers(km) a minute(min).

Step-by-step explanation:

If we look at the graph, the 1km and 2min meet.

Answer:

24 km/h

Step-by-step explanation:

The graphic shows 4 km in ten minutes

\(s=\frac{4 km}{10 min} (\frac{60 min}{1 hour}) =\frac{(4)(60)}{10} =24km/hr\)

I hope this help you

The z-score when x=108 is 3.1034. The z-score tells you that x=108 is 3.1034 standard deviations to the left of the mean.

Z-score is used in statistics to compare a score to a normal distribution. The z-score is a measure of how far away from the mean a value is in standard deviation units.

To find the z-score when x = 108, we use the formula:

z = (x - μ) / σ

where x = 108, μ = 153, and σ = 14.5.

Substituting these values, we get:

z = (108 - 153) / 14.5 = -3.1034

So the z-score when x = 108 is -3.1034.

The z-score tells us how many standard deviations away from the mean a particular value is. In this case, since the z-score is negative, we know that x = 108 is to the left of the mean.

The absolute value of the z-score tells us how many standard deviations away from the mean the value is. In this case, the absolute value of the z-score is approximately 3.1034, which means that x = 108 is approximately 3.1034 standard deviations to the left of the mean.

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Answer:

x = 9

Step-by-step explanation:

What we have here is a bisected angle. What this means is that an angle is being cut in half to create multiple angles. In this case angle E has been bisected. Since that is the case, angles 1 and 2 are equivalent to each other. Now that we know this we can solve for x.

Equation:

x + 8 = 2x - 1

8 = x - 1

9 = x

Answer:

2

Step-by-step explanation:

hope this helps

Answer:

-3

Step-by-step explanation:

because nine divided by 3 is 3 then subtract 3 which is 0 then subtract 3 again which is -3

Answer:

-3(-9)-20=7

Step-by-step explanation:

Answer: the first one is 14 and the second one is 5

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

If you divide -6x with 2 you will get -3x

If you divide -4 with 2 you will get -2

Thus -3x-2

Hope this helps!

Answer:yes

Step-by-step explanation:

It will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.

Given:Ashley and Rod cleaned the house in 4 hours. Rod can clean the house alone in 2 hours.To find:How long will it take for Ashley to clean the house alone?Solution:Let's suppose the time Ashley takes to clean the house alone is x hours.Then, Ashley and Rod can clean the house in 4 hours.Thus, using the concept of work, we have:\begin{aligned} \text { Work done by Ashley in 1 hour } + \text { Work done by Rod in 1 hour } &= \text { Work done by Ashley and Rod in 1 hour } \\ \Rightarrow \frac {1}{x} + \frac {1}{2} &= \frac {1}{4} \\ \Rightarrow \frac {2 + x}{2x} &= \frac {1}{4} \\ \Rightarrow 8 + 4x &= 2x \\ \Rightarrow 2x - 4x &= -8 \\ \Rightarrow x &= 4 \end{aligned}Therefore, it will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.

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Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

Answer:

15

Step-by-step explanation:

You would divide 2 by 12 first and then multiply it by 90.

Answer:

Step-by-step explanation:

90 * (2 ÷ 12)

90 *(\(\frac{1}{6}\))

90*1/6

90/6

15

therefore 15 is the required answer.

we have

198 --> 200

25 --> 30

so,

answer: 200 x 30 = 6000

Answer:

$1788

Step-by-step explanation:

1200 x 0.07 = 84

84 × 7 = 588

588 + 1200 = 1788

The value of the  account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.

Since

The initial deposit is $1.200

The rate of interest is 5%

Now the future value be like

\(= (1,200 \times (1 + 0.05)^{9} - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= 1,200 \times (1.5513 - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= (1,200 \times 11.0265) \times (1.05) + 1,200\)

= 13893.4711 + 1,200

= $15,093.47

hence, The value of the  account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.

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Answer:

Size - continuous

Screen type - Qualitative

Number of channels - discrete

Step-by-step explanation:

____size ____screen type ____no of channels

_A __50 ____ projection ________298

_B __ 51 ____ projection ________ 117

_C __ 58 ____ Plasma __________423

_ D __43 ____ projection ________269

_ E __ 44 ____ Plasma __________ 289

The individual being studied are the characteristics of high definition televisions

Size of television is a continuous variable as the inches of televisions aren't finite and may not necessarily be whole numbers.

Screen type is a Qualitative variable also called categorical as it places different Television sets into distinct category based on the nature of the screen material.

Number of channela is discrete as it defines a finite number stations available. Available stations will always be whole numbers without decimals.

Answer:

Step-by-step explanation:

7/7 = 1 whole number

8/4 = 2 whole numbers

both equal to whole number

Answer:

the answer is 1 if i read this right

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

First Multiply and Divide (left to right)

3 divide by 1/3

Convert the element into a fraction:

=3/1 divided by 1/3

Apply the fraction rule:

=3/1 * 3/1

Apply rule a/1:

=3*3

Multiply the numbers: 3*3=9

=9

=9-9+1

Add and subtract (left to right):

9-9+1

9-9=0

=0+1

0+1=1

=1

Answer:

Step-by-step explanation:

The set of all real numbers except for 100 in set builder notation (assuming the variable is x) is:

The very first x represents the variable.

The second with the R represents the number. Here, we want all real numbers.

And the third is the constraint. We want all real numbers except for 100.

Answer:

{ x | x ∈ R, x ≠ 100 }

Step-by-step explanation:

Real numbers (R) include all rational and irrational numbers.

Hence, If we need to write it in set-builder notation, we will write as:

{ x | x ∈ R, x ≠ 100 }

In words : "x such that x belongs to R, x is not equal to 100"

This shows that x is any real number except for 100.

\(\rule[225]{225}{2}\)

Hope this helped!

The probability that a 7-digit telephone number with the digits 5, 1, 6, 5, 2, 1, and 5 is the number 550-5211 is 1 in 10,000,000.

To find the probability that a 7-digit telephone number with the digits 5, 1, 6, 5, 2, 1, and 5 is the number 550-5211, we need to consider the total number of possible 7-digit telephone numbers and the number of favorable outcomes.

Since the telephone number has 7 digits, each digit can be chosen from 10 possible options (0-9). Therefore, the total number of possible 7-digit telephone numbers is 10^7 = 10,000,000.

Now, let's determine the number of favorable outcomes. In the given telephone number 550-5211, the first three digits (550) can be arranged in only one way. Similarly, the last four digits (5211) can also be arranged in only one way.

Therefore, the number of favorable outcomes is 1 * 1 = 1.

The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability = 1 / 10,000,000

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Answer:

1008

Step-by-step explanation:

If 4/5 of eighth graders, or 80%, are enrolled with class, there are still 20% of students that didn't study. That means you add 168, the 20%,  and you'll get 1008.

The computed mean is 58.8 degrees based on frequency distribution.

To find the mean of the data summarized in the frequency distribution, we first need to find the midpoint of each class interval.

Midpoint of 40-44 = (40 + 44) / 2 = 42
Midpoint of 45-49 = (45 + 49) / 2 = 47
Midpoint of 50-54 = (50 + 54) / 2 = 52
Midpoint of 55-59 = (55 + 59) / 2 = 57
Midpoint of 60-64 = (60 + 64) / 2 = 62

Next, we multiply each midpoint by its corresponding frequency and add up the results.

(2 x 42) + (6 x 47) + (12 x 52) + (7 x 57) + (3 x 62) = 1764

Finally, we divide this sum by the total number of values (which is the sum of the frequencies).

2 + 6 + 12 + 7 + 3 = 30

1764 / 30 = 58.8

The computed mean is 58.8 degrees.

When we compare this to the actual mean of 57.8 degrees, we see that the computed mean is slightly higher. This may be due to the fact that there are more values in the higher end of the distribution (i.e. 50-54 and 55-59) compared to the lower end (i.e. 40-44 and 45-49).

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The events A and B are not mutually exclusive; not mutually exclusive (option b).

Explanation:

1st Part: Two events are mutually exclusive if they cannot occur at the same time. In contrast, events are not mutually exclusive if they can occur simultaneously.

2nd Part:

Event A consists of rolling a sum of 8 or rolling a sum that is an even number with a pair of six-sided dice. There are multiple outcomes that satisfy this event, such as (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Notice that (4, 4) is an outcome that satisfies both conditions, as it represents rolling a sum of 8 and rolling a sum that is an even number. Therefore, Event A allows for the possibility of outcomes that satisfy both conditions simultaneously.

Event B involves drawing a 3 or drawing an even card from a standard deck of 52 playing cards. There are multiple outcomes that satisfy this event as well. For example, drawing the 3 of hearts satisfies the first condition, while drawing any of the even-numbered cards (2, 4, 6, 8, 10, Jack, Queen, King) satisfies the second condition. It is possible to draw a card that satisfies both conditions, such as the 2 of hearts. Therefore, Event B also allows for the possibility of outcomes that satisfy both conditions simultaneously.

Since both Event A and Event B have outcomes that can satisfy both conditions simultaneously, they are not mutually exclusive. Additionally, since they both have outcomes that satisfy their respective conditions individually, they are also not mutually exclusive in that regard. Therefore, the correct answer is option b: not mutually exclusive; not mutually exclusive.

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Answer:

attached.

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

you will have x+2 >1 and -(x+2) >1

remember when you divide by a negative, you switch the inequality sign. for the second expression, you switch from > to <

For the graph, shade in the areas where the red line is greater than 1 (the green line) on both sides of the V shape.

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Answer: 1.3333 cups of 3/8 cups

Step-by-step explanation:

1/2 divded by 3/8

Solution

Step 1

A)The domain refers to all real values of x for which the function is defined. The values of x for which the function is undefined are not a part of the domain. If you are given the equation then you can find the domain of that function by solving/ factorizing the denominator of the equation to find the zero(s) of the equation in the denominator. These values gotten are the values of x that will make the function undefined and hence are not part of the domain. Every other real value of x apart from these zero(s) obtained is part of the domain.

B)

Step 1

Factorize the denominator of the equation to find the zeroes of the equation

Step 2

Find the required factors to replace 13x and is equal to -90x²

Step3

Replace 13x with these factors

Step 4

Factorize the equation and find the values of x

Hence, the domain of the function is all real values of x except -3 and 5/6

The hypotheses for this experiment are:

Null Hypothesis (H0): The die is fair, and the probability of rolling a 4 is equal to 1/6.

Alternative Hypothesis (Ha): The die is loaded, and the probability of rolling a 4 is greater than 1/6.

In this case, the avid Yahtzee player wants to test whether his lucky die is loaded in favor of rolling 4's more often than any other number. The null hypothesis assumes that the die is fair, meaning all outcomes (including rolling a 4) have an equal probability of 1/6. The alternative hypothesis suggests that the die is loaded and that the probability of rolling a 4 is greater than 1/6.

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Answer:

-2 and 3 is the answer

Step-by-step explanation:

Polynomial solutions are often employed to describe equilibrium states or steady-state solutions in various physical systems, such as heat conduction, electrostatics, and fluid dynamics.

u is a polynomial solution, it can be expressed as a sum of terms, each consisting of a monomial multiplied by a coefficient. The exponents of the monomials determine the degree of the polynomial, and the coefficients determine the specific values of the polynomial at different points. The polynomial solution

u(x,y) allows for a wide range of possibilities depending on the choice of coefficients and degrees of the monomials.

In the context of Laplace's equation, polynomial solutions are often employed to describe equilibrium states or steady-state solutions in various physical systems, such as heat conduction, electrostatics, and fluid dynamics. These polynomial solutions provide valuable insights into the behavior of these systems and help in solving boundary value problems and finding solutions in specific regions or domains.

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Answer:

3.) 6 hours

4.) $52.5

5.) 15 minutes

6.) 16

Step-by-step explanation:

3.) 130/2.5 is rate he works at which is 52 houses per hour so do 312 divided my 52 to get 6 hours

4.) 12 months in a year so you do $630 divided 12 months to get a cost of $52.5 per month

5.) 16 miles divided by 20 minutes gives the rate it travels at which is 0.8 miles per minute. So, do 12 divided by 0.8 to get 15 minutes

6.) A dozen is 12 so you do $3.84 divided by 12 to get the cost of one egg which is $0.32 and multiply that by 50 eggs to get a cost of $16

Answer: a

Step-by-step explanation: simple math

Answer:

The constant of proportionality is 20 dollars per hour as you can divide the pay by the number of hours worked and you will always get 20.

Step-by-step explanation:

Step-by-step explanation:

inversely means

y = k/x

therefore

30 = k/4

120 = k

y = 120/10 = 12

FYI :

directly would mean

y = kx

The value of y will be 12 when x is equal to 10.

The relationship between two variables known as "inverse variation" occurs when the value of one variable increases while the value of the other variable decreases.

Given that, y varies inversely with x.

Here, y∝1/x

y=k/x

xy=k

When x is 4, y is equal to 30, we get

k=4×30

k=120

When x=10, we get

10y=120

y=12

Therefore, the value of y will be 12 when x is equal to 10.

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