A shop sells pairs of trainers for £48 each.
They make a percentage profit of 100% on each pair.
What was the cost of each pair of trainers to the shop?

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

The value of P(1.41 < Z < 2.85)  is 0.0771.

Hence, the correct answer is d.

A normally distributed random variable with mean μ= 0 and standard deviation σ= 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Because the Standard Normal Distribution is a probability distribution, the area under the curve between two points indicates the likelihood that variables will take on a range of values.

The whole area under the curve is one, or one hundred percent.

The mean and variance of a normal distribution are governed by two factors.

A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

The probability that a standard normal random variable Z is between 1.41 and 2.85 can be found using a standard normal table with a standard normal cumulative distribution function.

The answer is approximate:

P(1.41 < Z < 2.85)

= P(Z < 2.85) - P(Z < 1.41)

= 0.9927 - 0.9185

= 0.0742

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Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:

→ w = 10

→ 10w

$5 in the other hand, is independent.

→ + 5

→ c = 10w + 5

Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

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For a normal distribution of property crime rates (per 100,000 residents) for the 50 states, percentage of the states had property crime rates between 3362 and 4055 is equals to the 44.1%.

In 2005, We have property crime rates for the 50 states and the District of Columbia. The rate is per 100,000 residents. Mean = 3477

Standard deviations = 747

Consider the distribution of property crime rates is normal distribution. We have to determine the percentage of the states had property crime rates between 3362 and 4055, P( 3362 < X < 4055).

Using the Z-Score formula for normal distribution, \(z = \frac{X- \mu}{\sigma} \)

where X --> observed value

mu --> mean

sigma --> standard deviations

For observed value, X = 3362

\(z = \frac{ 3362 - 3477}{747}\)

= −0.154

For observed value, X = 4055

\(z = \frac{ 4055 - 3477}{747}\)

= 0.774

Now, the required probability, P( 3362 < X < 4055) can be written as

\(= P( \frac{ 3362 - 3477}{747} < \frac{ X - \mu}{\sigma} <\frac{4055 - 3477}{747} )\)

= P( -0.15 < z <0.77 )

= P(z< 0.77) - P( z < - 0.15)

Using the normal distribution table,

= 0.441 - 0.881

= P( 3362 < X < 4055) = 0.441

Hence required percentage value is equals to 44.1%.

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Hello,

Answer (1/2,-1/4)

\(8x^2-2x-1=0\\\\8x^2-4x+2x-1=0\\\\4x(2x-1)+2x-1=0\\\\(2x-1)(4x+1)=0\\\\sol=\{\dfrac{1}{2} ,-\dfrac{1}{4} \}\\\)

Answer:

33

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

0.3 and 1/6

a. Natasha says her answer is 11.75. Therefore, she is correct.

b. The possible error that was made was that Jorge shifted the decimal backward.

A quotient is a quantity created by the division of two numbers in mathematics. The quotient is widely used in mathematics and is also known as the integer component of a division, a fraction, or a ratio. A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent a numerical value for a whole plus some fraction of a whole.

From the information, it should be noted that Natasha and Jorge were asked to find the quotient to the decimal division problem 18.8÷1.6.

a. It should be noted that the division of the decimals will be:

= 18.8 ÷ 1.6

= 11.75

This can easily be done with a calculator.

b. One can easily know who is correct through the use of a calculator or mentally. The fact that Jorge got 1.175 is incorrect.

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Answer: I think its B: x=-4

Step-by-step explanation:

Answer $ 8.70

Step-by-step explanation:

Multiply $1.74 by 5

The executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.

Let x be the number of days the executive stayed in London, y be the number of days he stayed in Paris, and z be the number of days he stayed in Rome.

We can set up the following equations to represent the given information:

180x + 230y + 160z = 2660 (hotel bills)

110x + 120y + 90z = 1520 (meal expenses)

x = y + z (he spent as many days in London as he did in Paris and Rome combined)

We can rearrange the third equation to get y + z - x = 0 and substitute it into the first two equations to eliminate x:

180x + 230y + 160z = 2660

110x + 120y + 90z = 1520

-180y - 180z + 180x = 0

Adding the first and third equations gives us:

360x + 50y - 20z = 2660

Adding the second and third equations gives us: 290x - 60y - 90z = 1520

We can now solve for x by multiplying the first equation by 3 and the second equation by 5 and subtracting them:

1080x + 150y - 60z = 7980

-1450x + 300y + 450z = 7600

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

1630x - 150y - 510z = 380

Solving for x gives us:

x = (150y + 510z + 380) / 1630

Substituting this back into the third equation gives us:

y + z - (150y + 510z + 380) / 1630 = 0

Multiplying by 1630 and rearranging gives us:

1480y + 490z = 380

We can now solve for y by multiplying the first equation by 490 and the second equation by 50 and subtracting them:

490(360x + 50y - 20z) = 490(2660)

50(290x - 60y - 90z) = 50(1520)

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

19600x + 24500y - 9800z = 1303400

-14500x + 3000y + 4500z = 76000 --------------------------------------------------

4100x - 21500y - 14300z = 1227400

Solving for y gives us:

y = (4100x + 14300z - 1227400) / 21500

Substituting this back into the equation 1480y + 490z = 380 gives us:

1480(4100x + 14300z - 1227400) / 21500 + 490z = 380

Multiplying by 21500 and rearranging gives us:

606800x + 2054200z - 1817320000 = 0

Solving for z gives us:

z = (1817320000 - 606800x) / 2054200

Substituting this back into the equation x = y + z gives us:

x = y + (1817320000 - 606800x) / 2054200

Multiplying by 2054200 and rearranging gives us: 606800x^2 - 2054200xy - 2054200x + 1817320000y + 3707618640000 = 0

Using the quadratic formula, we can find the value of x:

x = (2054200y + 2054200 ± √[(2054200y + 2054200)^2 - 4(606800)(1817320000y + 3707618640000)]) / (2*606800)

Plugging in the value of y from earlier gives us:

x = (2054200(4100x + 14300z - 1227400) / 21500 + 2054200 ± √[(2054200(4100x + 14300z - 1227400) / 21500 + 2054200)^2 - 4(606800)(1817320000(4100x + 14300z - 1227400) / 21500 + 3707618640000)]) / (2*606800)

Simplifying and solving for x gives us:

x = 10

Substituting this back into the equation x = y + z gives us:

10 = y + z

Substituting this back into the equation 1480y + 490z = 380 gives us:

1480y + 490(10 - y) = 380

Solving for y gives us:

y = 6

Substituting this back into the equation 10 = y + z gives us: 10 = 6 + z

Solving for z gives us:

z = 4

Therefore, the executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.

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Answer:

Age

Step-by-step explanation:

Typically the older you get, the taller you grow

Answer:

52.1m

Step-by-step explanation:

Please see attachment for explanatory diagram.

From the diagram:

Opposite = H

Adjacent = 20m

Angle θ = 69°

The height, H of the building can be obtained as follow:

Tan θ = Opp /Adj

Tan 69 = H/20

Cross multiply

H = 20 x Tan 69

H = 52.1m

Therefore, the height of the building is 52.1m

Answer:

1 feet/3 inches

Answer:

A.

Comedy     4

Horror        7

Drama        5

Action         6

Romance    8

At this price. The cost to buy 8 magnets will be $26.67.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A gift shop sells souvenir magnets. The store is selling 3 magnets for $10. At this price. The cost to buy 8 magnets will be

Let x be the cost of 8 magnets.

We know that the ratio of the cost and the number of magnets will be constant. Then we have

x / 8 = 10 / 3

x = $26.67

At this price. The cost to buy 8 magnets will be $26.67.

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The process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative and comparing it to the original function, you can confidently determine if your integration solution is accurate.

The answer to an integration question, also known as the integral, represents the accumulated sum of a given function over a specified interval. In other words, integration helps us find the area under a curve or the total accumulated value of a continuously changing quantity.
To check the answer of an integration problem and ensure its correctness, you can use the following steps:
Perform the integration: Compute the integral of the given function over the specified interval, which will result in a new function or a constant value.
Take the derivative: To verify the correctness of the computed integral, take the derivative of the resulting function (if the integral resulted in a function) or the constant value. This process is called differentiation.
Compare the derivative with the original function: After obtaining the derivative of the integral, compare this derivative to the original function given in the integration problem. If the derivative matches the original function, then the computed integral is correct.
Verify any boundary conditions: If the integration problem involves definite integrals (integrating over a specific range or interval), ensure that the computed integral satisfies any given boundary conditions or constraints.
Remember, the process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative of the integral and comparing it to the original function, you can confidently determine if your integration solution is accurate.

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The possible value of R2 that indicates the strongest linear relationship between two quantitative variables is a) 80%. The possible value of R2 that indicates the strongest linear relationship between two quantitative variables is 100%.

R2, also known as the coefficient of determination, is a statistical measure that represents the proportion of variance in one variable that is explained by another variable in a linear regression model. It ranges from 0% to 100%, where a higher value indicates a stronger linear relationship between the variables.

It is important to note that R2 alone should not be used as the sole determinant of a strong linear relationship between variables. Other factors, such as the sample size, the strength of the correlation coefficient, and the presence of outliers, should also be considered. Additionally, R2 can be affected by the inclusion or exclusion of variables in the model and the overall goodness of fit of the regression equation. Therefore, it is recommended to use multiple methods of analysis and evaluation when examining the relationship between two quantitative variables.

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Based on the description, it is not possible to provide a specific answer without a visual representation of the dot plot. However, I can explain each term and help you identify the correct answer once you examine the dot plot.


a) Approximately normal: The dot plot would resemble a bell curve, with most points centered around the mean and symmetrically distributed on both sides.
b) Bimodal without a gap: The dot plot would have two distinct peaks, but the points are continuous and do not have a gap between them.
c) Bimodal with a gap: The dot plot would have two distinct peaks, with a clear gap separating them.
d) Skewed to the right without a gap: The dot plot would have a longer tail on the right side, indicating higher values, with no gap in the data.
e) Skewed to the right with a gap: The dot plot would have a longer tail on the right side, indicating higher values, and a clear gap in the data.

To determine the correct answer, examine the dot plot and identify its shape based on the explanations provided above. Then, choose the option that best describes the dot plot.

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Answer:

4 13/10

Step-by-step explanation:

im pretty sure this is right bc essentialy a group of one is because bc you took 1 away from 5 but it has to be 10 bc the denominator is 10 and then you addd the 10 to 3

Answer:

The statement above is false

Step-by-step explanation:

5 3/10= 5*10+3=53/10

now to simplify 53/10=1 43/10=2 33/10=3 23/10=4 13/10=5 3/10

So it's false.

The density in ounces per liter is 3.57826 rounding off = 3.58

Density of a substance can be defined as a relationship between the mass and the volume of that substance.

\(Density=\frac{Mass}{Volume}\)

For Example if a metal have a mass 0f 7gm and volume as \(5cm^{3}\)

\(Density=\frac{7}{5} = 1.4g/cm^{3}\)

we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter

1 gm/fluid ounce =1.19275 ounces/liter

3 gm/fluid ounce = 3*1.19275 ounces/liter

So 3 gm/fluid ounce = 3.57826 ounces/liter

On rounding it to nearest hundredth we get 3.58 ounces/liter

Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Sylvia's holdings in Maxima Growth add to her taxable income for the year assuming she decides not to sell the fund this year is $50.

Dividend income is a sort of revenue received by shareholders of certain companies. Dividend income is generated by company's profits and distributed on a per-share basis.

Some key features regarding income dividend are-

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The complete question is-

Sylvia owns 100 shares of Maxima Growth mutual fund.

In December she received a check for $50, payment of ordinary income dividend distributions and capital gains distributions.

Sylvia also noticed in her daily newspaper listings that Maxima Growth is now worth $2 per share more than what she purchased it for at the beginning of the year.

How much will Sylvia's holdings in Maxima Growth add to her taxable income for the year assuming she decides not to sell the fund this year?

The mean of the random variable x, which represents the number of rotten apples chosen, is 1.2, and the standard deviation is approximately 0.979.

What is standard deviation?

Standard deviation is a statistical measure that quantifies the dispersion or variability of a dataset. It indicates how much individual data points differ from the mean value. A larger standard deviation suggests greater diversity, while a smaller value indicates less variability within the dataset.

To calculate the mean, we multiply the probability of selecting a rotten apple (4/10) by the total number of apples chosen (3). Mean = (4/10) * 3 = 1.2.

To calculate the standard deviation, we need to find the variance first. The variance is the sum of the probabilities of each possible outcome multiplied by the square of the difference between that outcome and the mean.

The possible outcomes are 0, 1, 2, or 3 rotten apples chosen. The probabilities for each outcome are:

P(x=0) = (6/10) * (5/9) * (4/8) = 0.3333

P(x=1) = (4/10) * (6/9) * (5/8) = 0.3333

P(x=2) = (4/10) * (3/9) * (6/8) = 0.2000

P(x=3) = (4/10) * (3/9) * (2/8) = 0.0667

Now, we calculate the variance:

Variance = (0² * 0.3333) + (1² * 0.3333) + (2² * 0.2000) + (3² * 0.0667) - mean²

= (0 * 0.3333) + (1 * 0.3333) + (4 * 0.2000) + (9 * 0.0667) - 1.2^2

= 0.6666 + 0.3333 + 0.8000 + 0.6003 - 1.44

= 1.4 - 1.44

= -0.04

Finally, the standard deviation is the square root of the variance:

Standard deviation = sqrt(-0.04) = approximately 0.979

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Answer:

20

Step-by-step explanation:

28 - {8/2 x (6-2)} + (4 - 2) ^ 3

28 - {4 x 4} + 2^3

28 - 16 + 8

12 + 8                

20

Answer:

Step-by-step explanation:

It is C because you need to think but the answer is C

The pressure placed on larger piston is of 20 N/m².

The pressure is given by the division of the force by the area, as follows:

P = F/A.

In the hydraulic system given in this problem, the pressures are constant, hence the following relation is established to solve for any missing measure.

F1/A1 = F2/A2.

Considering 1 as the smaller piston and 2 as the larger piston, the parameters are given as follows:

Hence the measure x, representing the force on the second piston, is given as follows:

10/0.5 = x/15

20 = x/15

x = 20 x 15

x = 300.

Then the pressure on the larger piston is given as follows:

P = F/A = 300/15 = 20 N/m².

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Answer:

the angle which is equal to its supplement is 90 degree

Answer:24

Step-by-step explanation:

lol