Mr. Chiarilli has lost 240 more hairs than Mr. Gelsomino has lost.
A Let g represent the number of hairs Mr. Gelsomino lost. Write an expression to represent
the number of hairs Mr. Chiarilli has lost.

The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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A. 21

I just took my exam and got it right.

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

Answer:

Step-by-step explanation:its a  69420 dum as

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/2 is 6/12. 6/12 is close to 5/12 than the others.

The first option on the list of options is, in my opinion, the right response. Since there is no correlation between x and y, the correlation coefficient for the data would be 0. I believe this answers your query. Enjoy your day. Please feel free to inquire further.

What is the statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

The correlation coefficient for the given data is 0, which represents no correlation between x and y. This means that there is no linear relationship between the age of the participants and the number of questions they could answer correctly. In other words, knowing a participant's age does not give any information about the number of questions they could answer correctly, and vice versa.

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Answer:

216

\( {m}^{2} \)

Step-by-step explanation:

base•height•width

6•12•3

72•3

=216 then don't forget the

\( {m}^{2} \)

The value each segment length in right triangle ABC are AD = 6 units, BC = 4 units, AB = 4√3 units and BD = 2√3 units

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

Since AC = 8 and CD = 2.

Thus, AD = AC - CD = 8 - 2 = 6 units

sin 30° = BC/AC

0.5 = BC/8

BC = 0.5 × 8

BC = 4 units

AB = √(8²-4²)   (Pythagoras theorem)

AB = 4√3 units

BD = √(4²-2²)   (Pythagoras theorem)

BD = 2√3 units

Therefore, drag the value of each segment length in the box accordingly

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The Variable "Colors of cars in a mall parking lot" is (a) categorical variable and not a numerical variable.

A Categorical Variable is defined as a type of variable which  takes on one of a limited, and usually fixed, number of possible values.

In this case, the possible values are different colors of cars such as red, blue, green, etc. Categorical variables are also known as nominal variables because they do not have an inherent order or mathematical meaning.

a Categorical variables are different from Numerical Variables, which are variables that have a numerical value that can be used to perform mathematical operations.

The given question is incomplete , the complete question is

Which variables is categorical and which are numerical ? If the variable is numerical, then specify whether the variable is discrete or continuous.

Colors of cars in a mall parking lot. -

(a) Categorical

(b) Numerical - Continuous

(b) Numerical - Discrete

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The design of the experiment is an indication of the allocation of the

participants in the experiment to different groups.

The responses are;

Reasons:

First Part:

A repeated-measures design is a testing procedure used during an

investigation that makes use of the same group or sample set, but taking

measurement of the members of the set under two different conditions or

at two different times.

Therefore;

A repeated-measures design would be appropriate in the situation where; A researcher would like to study the effect of advanced training on sales figures.

Second Part:

An independent-measures design is one that compares the properties

within two samples, such that the information in the population is not

required. It is a between-groups design, such that different participants

are used for the different conditions of the independent variable.

Therefore;

The option that is an independent-measures design is; Different participants perform in each condition.

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Answer:

a) -3/13

b) -1/8

Step-by-step explanation:

a)  - (21 / 7) / (91 / 7) = 3/13

b) (32 / 32 ) / - (256 / 32) = -1/8​

If we select all possible samples of a certain size from this population, then, on average, the value of the sample variance is 36.

In Science, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study.

In Statistics and science, a sample can be defined as a set of data that is collected from a population based on a well-defined sampling procedure.

In this context, we can reasonably infer and logically deduce that the sample variance on average would be equal to 36 because all possible samples of a certain size are selected from a population of 36 members.

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Answer:

yes, x=9

Step-by-step explanation:

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

(A)

Step-by-step explanation:

The survey follows of women's height a normal distribution.

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

The new height requirements would be 57.7 to 68.6 inches

The given parameters are:

\mathbf{\mu = 63.5}μ=63.5 --- mean

\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation

(a) Percentage of women between 58 and 80 inches

This means that: x = 58 and x = 80

When x = 58, the z-score is:

\mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

This gives

\mathbf{z_1= \frac{58 - 63.5}{2.5}}z

1

=

2.5

58−63.5

\mathbf{z_1= \frac{-5.5}{2.5}}z

1

=

2.5

−5.5

\mathbf{z_1= -2.2}z

1

=−2.2

When x = 80, the z-score is:

\mathbf{z_2= \frac{80 - 63.5}{2.5}}z

2

=

2.5

80−63.5

\mathbf{z_2= \frac{16.5}{2.5}}z

2

=

2.5

16.5

\mathbf{z_2= 6.6}z

2

=6.6

So, the percentage of women is:

\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z

2

)−P(z<z

1

)

Substitute known values

\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)

Using the p-value table, we have:

\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034

\mathbf{p = 0.9860948}p=0.9860948

Express as percentage

\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%

\mathbf{p = 98.60948\%}p=98.60948%

Approximate

\mathbf{p = 98.61\%}p=98.61%

This means that:

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.

(b) Change of requirement

Shortest = 1%

Tallest = 2%

If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).

So, we have:

Shortest = 1% to 98%

This means that:

The p values are: 1% to 98%

Using the z-score table

When p = 1%, z = -2.32635

When p = 98%, z = 2.05375

Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

Substitute \mathbf{z = -2.32635}z=−2.32635

\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=

2.5

x−63.5

Multiply through by 2.5

\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5

Make x the subject

\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5

\mathbf{x = 57.684125}x=57.684125

Approximate

\mathbf{x = 57.7}x=57.7

Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=

2.5

x−63.5

Multiply through by 2.5

\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5

Make x the subject

\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5

\mathbf{x= 68.634375}x=68.634375

Approximate

\mathbf{x= 68.6}x=68.6

Hence, the new height requirements would be 57.7 to 68.6 inches

Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

The exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\(\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}\)

We have data shown in the table:

We can find the exponential regression equation using the data shown.

\(\rm y = ab^x\)

After calculating from the data:

a = 172.21 and b = 0.99

\(\rm y = 172.21(0.99)^x\)

The correlation coefficient will be:

r = -0.99

The range will be all real numbers.

The domain will be y > 0

As we can see in the graph x ∈R and y>0

After an hour,

Plug x = 60 minutes in the exponential regression equation:

\(\rm y = 172.21(0.99)^{60}\)

y = 94.22 degree Fahrenheit

After 4 hours, plug x = 240

\(\rm y = 172.21(0.99)^{240}\)

y = 15.43 degree Fahrenheit

Similarly, we can find any data from the exponential regression equation.

Thus, the exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

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The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

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9514 1404 393

Answer:

  $70

Step-by-step explanation:

Four relationships are given among four unknowns. Define the following variables: p, c -- the cost of a pie and a cake, respectively. q, d -- the number of pies and cakes, respectively.

  q/d = 5/2 . . . . . the ratio of pies to cakes sold

  pq +cd = 3780 . . . . revenue from the sales

  p = c -35 . . . . . a pie is $35 less than a cake

  cd = pq -420 . . . . revenue from cakes is $420 less than for pies

__

The equations are non-linear, so we're making up this process as we go along. We observe that 'pq' and 'cd' are involved in relations that give us their sum and difference, so these products are easily found. Their ratio can let us take advantage of our knowledge of q/d.

Substituting for cd in the second equation, we get ...

  pq +(pq -420) = 3780

  2pq = 4200

  pq = 2100

  cd = 2100 -420 = 1680

Now, we can write ...

  pq/cd = 2100/1680 = 5/4

  (p/c)(q/d) = 5/4 = (p/c)(5/2) . . . . substitute for q/d

  p/c = 1/2 = (c -35)/c . . . . . . . . . . substitute for p

  c = 2(c -35) . . . . multiply by 2c

  c = 70 . . . . . . . . add 70-c

The cost of a cake is $70.

_____

Additional comment

24 cakes were sold at $70 each. 60 pies were sold at $35 each.

Volume of the aquarium is 27 \(s^{3}\)

The total number of cubic units that a cube totally fills up is referred to as its volume. An object with six square faces that is three dimensional is called a cube. The amount of space an object takes up in total is known as its volume. Space would be taken up by an object having a larger volume.

Depending on the inputted inputs, many formulas can be used to determine the volume of any cube. You may figure it out by measuring the diagonal of the cube or its sides.

Given that : Carlos bought a cube shaped aquarium with side 3s

As the aquarium have cube shape so the volume will be

Volume of cube is V =\(a^{3}\)

a = 3

V = 27 \(s^{3}\)

Hence ,Volume of the aquarium is 27 \(s^{3}\)

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Answer: w(10) = -12

Step-by-step explanation:

w(n) = -n - 2; Find w(10)

w(10) = -(10) - 2

w(10) = -10 - 2

w(10) = -12

The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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The equation of the lines can be used to read the points on the graph.

We know that we can be able to graph the lines that corresponds to an equation as we can see in the question that we have here. The line of the graph must be easily read off if we look at the points on the graph.

We know that the general equation of the line can be written in the form of y = mx + x and this is how we can be able to write the lines of the equations that we have in the question.

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Answer:

The probability is 2/5

Answer:

6/10

Step-by-step explanation:

as you said it easy.

Answer:

70

Step-by-step explanation:

14x5=70

Answer:

5/14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

plz tell me if im right

Answer:

I'm not a math expert but I was able to figure this out Somehow .  the answer is 896.

Step-by-step explanation:

Sounds crazy but trust me the answer is 896. I did the math on a calculator, and im looking through the history.

Answer:

= 7

Step-by-step explanation:

Answer:

x= 7, 1

Step-by-step explanation:

Take the root of both sides and solve.