The ratio of the measures of the three sides of a triangle is 3: 7: 5 , and its perimeter is 156.8 meters. Find the measure of each side.

The tables that reprsesent a linear function is (d)

From the question, we have the following parameters that can be used in our computation:

The table of values

A table of value that is a linear function is a table that has a constant rate

i.e. as x changes, y changes constantly

Using the above as a guide, we have the following:

In table (d) x changes constantly by 1 and y constantly changes by -2

Hence, the table is table (d)

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Answer:

Yes.

Step-by-step explanation:

According to the given co-ordinate.

(x,y) = (-2,-2)

i.e. x = -2, y = -2

So, We can say that x = y = -2.

Hence, the given co-ordinate makes the equation y = x true.

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

Hope this helped!

Answer:

1/10

Step-by-step explanation:

3/4 add 1/6

Answer:

Rational because it isn't a repeating decimal

Step-by-step explanation:

Answer:

A.y=2

Step-by-step explanation:

y=2/3*9-4

y=18/3-4

y=6-4

y=2

Answer:

15

Step-by-step explanation:

140x(3/4)=105 went to sport club

105x(1/7)=15 went to sport club and art club

Answer:

The diameter is 21 cm

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³, or (in terms of the diameter)  V = (4/3)π(d/2)³.  This simplifies to

       4πd³          πd³

V = ----------- = -----------

        3·8               6

Now equate V = (πd³/6) to 4851 cm³.  We must first solve this for d³ and then take the cube root of the result:

πd³ = 4851(6) = 29106.

Dividing this result by π yields 9264.7,

and taking the cube root of this is 21.  The diameter is 21 cm

Answer:

r = .5 units  

Step-by-step explanation:

8.7 R is an improper  FRACTION of the 2 pi R of the entire circle ....set up a ratio:

8.7 / (2 pi)  =  3.9 / x       where x is the entire circumference measurement

x = 3.9 / (8.7 / (2 pi) )   = 2.82 units    

To find the radius    circumf = 2 pi r

                                     2.82 = 2 pi r      shows r = .5 units

The factor and levels in the scenario is,

Factor = dip flavor. Levels = strawberry, orange, and banana.

What is popsicles?

A frozen treat on a stick made of liquid is known as an ice pop. An ice pop is "quiescently" frozen, or frozen when at rest, and turns into a solid block of ice, unlike ice cream or sorbet, which are churned while freezing to prevent ice crystal formation. It is held by the stick, which serves as a handle.

There is only one factor (independent variable) involved in above case, i.e. dip flavor is only factor mentioned in given case.

We can see that dip flavor has three categories or levels, i.e. strawberry, orange, and banana

Therefore, we have

factor = dip flavor and levels = strawberry, orange, and banana.

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"The analysts at the casino try to choose the spread so that there is a 50% chance that the outcome will be below that amount, and a 50% chance that the outcome will be above that amount" is TRUE.

The analysts at the casino do not try to choose the spread so that there is a 50% chance of the outcome being below or above that amount. The spread is chosen based on factors such as the teams playing, their past performances, and other relevant statistics.

The goal of the casino is to balance the amount of money bet on each side, not to ensure a 50/50 chance of winning for either side. The spread is simply a tool used to even out the betting and ensure a profit for the casino.
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I say this because in geometry , a point is said to be the place where a line and a plane meets at empty space (which three dimensional)

Answer:

1

Step-by-step explanation:

18-4x=7x+7

18-7=7x+4x

11=11x

x=1

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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To evaluate the given expressions, substitute the values of 'x' into the equation y^3 = 2x^3 and solve for 'y'.

For x = 5:

y^3 = 2(5)^3

y^3 = 250

Taking the cube root of both sides, we get:

y = ∛250

For x = 3:

y^3 = 2(3)^3

y^3 = 54

Taking the cube root of both sides, we get:

y = ∛54

For x = 4:

y^3 = 2(4)^3

y^3 = 128

Taking the cube root of both sides, we get:

y = ∛128

Therefore, the values of 'y' corresponding to the given values of 'x' are:

For x = 5: y ≈ ∛250

For x = 3: y ≈ ∛54

For x = 4: y ≈ ∛128

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Given:

Interest (I)= $716.67

Total amount = $200,000

Monthly Payment(d) :

Balance of the loan amount after one month:

Balance amount after the first month is $199628

Answer:

x = 20

x = -18

x = 7/15

x = 5

Answer:

x >-2

Step-by-step explanation:

-3 (x -3) > 5 - 5x

Distribute

-3x +9 > 5-5x

Add 5x to each side

-3x +9+5x > 5-5x+5x

2x +9> 5

Subtract 9 from each side

2x+9-9>5-9

2x > -4

Divide each side by 2

2x/2 >-4/2

x >-2

Answer:

A. x > -2.

Step-by-step explanation:

-3 (x -3) > 5 - 5x

-3x + 9 > 5 - 5x Subtract 9 from both sides and add 5x to both sides:

-3x + 5x = 5 - 9

2x > -4

x > -2.

a)Approximately 11.87% of 2019 ACT scores were greater than 28. b) approximately 14.02% of 2019 ACT scores were greater than or equal to 28. c)approximately 33.72% of the observations are greater than 28 according to the N(20.8,5.8) distribution

(a) To find the percentage of 2019 ACT scores greater than 28 using the actual counts reported, we need to divide the number of students with scores higher than 28 by the total number of students who took the test and then multiply by 100 to convert it to a percentage.

Number of students with scores higher than 28: 227,221

Total number of students who took the test: 1,914,817

Percentage of scores greater than 28 = (227,221 / 1,914,817) * 100

Calculating this percentage:

(227,221 / 1,914,817) * 100 ≈ 11.87%

Therefore, approximately 11.87% of 2019 ACT scores were greater than 28.

(b) The percentage of 2019 ACT scores greater than or equal to 28 can be calculated by including the students who had scores exactly 28 in the numerator as well.

Number of students with scores higher than 28: 227,221

Number of students with scores exactly 28: 54,848

Total number of students who took the test: 1,914,817

Percentage of scores greater than or equal to 28 = ((227,221 + 54,848) / 1,914,817) * 100

Calculating this percentage:

((227,221 + 54,848) / 1,914,817) * 100 ≈ 14.02%

Therefore, approximately 14.02% of 2019 ACT scores were greater than or equal to 28.

(c) To find the percentage of observations that are greater than 28 using the N(20.8,5.8) distribution, we can use the cumulative distribution function (CDF) of the normal distribution.

Using statistical software or tables, we can calculate the probability of a value being less than or equal to 28 under the N(20.8,5.8) distribution. Then, subtracting this probability from 1 will give us the percentage of observations greater than 28.

Let's denote this probability as P(X ≤ 28), where X follows a normal distribution with mean 20.8 and standard deviation 5.8.

P(X ≤ 28) ≈ CDF(28; 20.8, 5.8)

Using software or tables, we find the approximate value of P(X ≤ 28) to be 0.6628.

Percentage of observations greater than 28 = (1 - P(X ≤ 28)) * 100

= (1 - 0.6628) * 100

≈ 33.72%

Therefore, approximately 33.72% of the observations are greater than 28 according to the N(20.8,5.8) distribution.

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La tableta de chocolate de Demetrio puede representarse como la unidad entera. Si Demetrio dejó 1/4 de la tableta para sí mismo, entonces se puede decir que se comió 3/4 de la tableta.

A continuación, si le dio 1/3 de la tableta a su hermano, entonces queda:

3/4 x 1/3 = 1/4

Por lo tanto, Demetrio le dio 1/4 de la tableta a su hermano.

Teniendo en cuenta que le quedaba 1/4 de la tableta, se puede deducir que eso es lo que le dio a su profesor.

En resumen, Demetrio se comió 3/4 de la tableta, le dio 1/4 de la tableta a su hermano y el otro 1/4 de la tableta se lo dio a su profesor.

Answer:

5x - 68 = x

Step-by-step explanation:

number = x

5x - 68 = x

Solve for x:

5x - 68 = x

-68 = x - 5x

-68 = -4x

68 = 4x

x = 68/4

x = 17

Answer:

55x-68 = x

Step-by-step explanation:

The ANOVA method is very useful when conducting research involving multiple groups or populations, as it allows researchers to test for significant differences in the means of multiple populations in a single test.

Analysis of variance is an extremely popular approach for examining the significance of population variations. It's used to estimate the population variance of two or more groups by comparing the variance between the groups to the variance within them.

ANOVA (analysis of variance) is a statistical method for determining whether or not there is a significant difference between the means of two or more groups. The total sample size in the experiment is nT, and there are k populations. The mean square due to error is SSE/(k-1), while the mean square due to treatment is SSTR/k.

The F-statistic, which is used to test the null hypothesis that there is no difference between the means of the populations, is calculated by dividing the mean square due to treatment by the mean square due to error. If the F-statistic is high, it suggests that there is a significant difference between the means of the populations, and the null hypothesis should be rejected.

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Answer:

(

i

4

)

11

(

i

2

⋅

i

)

(i4)11(i2⋅i)

thats the answer

The number of pieces of tiles that are needed to pave a path 5 m long and 1 m wide is; 20 tiles

We are told that the size of each piece of tile is 50 cm by 50 cm.

Now, we are told that the area that needs to be paved with tiles measures 5 m by 1m. Thus;

Converting the area that needs to be tiles to cm, we have;

5m = 500 cm

1m = 100 cm

Thus;

Area to be tiled = 500 * 100 = 50000 cm²

Area of each tile = 50 cm * 50 cm = 2500 cm²

Thus;

Number of tiles that are required to pave the given path = 50000/2500 =20 tiles

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The 3 × 3 rotation matrix, ARC, which will transform the coordinates of a position vector from C p, its value in frame {C}, into Ap, its value in frame {A} is given by:

ARC = [cosθcosϕ  -cosθsinϕ  sinθ]
           [sinϕ       cosϕ      0]
           [-sinθcosϕ  sinθsinϕ  cosθ]

The rotation matrix, ARC, which will transform the coordinates of a position vector from Cp, its value in frame {C}, into Ap, its value in frame {A} is given by:

ARC = ARY × BRZ

where ARY and BRZ are the Y-axis and Z-axis rotation matrices for frames {A} and {B}, respectively.

The Y-axis rotation matrix for frame {A} is given by:

ARY = [cosθ  0  sinθ]
           [0     1  0    ]
           [-sinθ 0  cosθ]

And the Z-axis rotation matrix for frame {B} is given by:

BRZ = [cosϕ -sinϕ 0]
           [sinϕ cosϕ 0]
           [0     0    1]

Combining these two matrices, we obtain the rotation matrix ARC:

ARC = [cosθcosϕ  -cosθsinϕ  sinθ]
           [sinϕ       cosϕ      0]
           [-sinθcosϕ  sinθsinϕ  cosθ]

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Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

Two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

Given measure: 3, 5, 4, 6, 10, 5, 6, 9, 2, 13.(D) To calculate \(x_2\), first we need to sort the data in ascending order: 2, 3, 4, 5, 5, 6, 6, 9, 10, 13

Now, we need to find the median, which is the middle value of the data. Since the data has even number of values, we will calculate the mean of middle two values, that is:(5+6)/2 = 5.5 Therefore, \(x_2 = 5.5\).\( \frac{2}{x}= \) To find the value of x, we will first cross-multiply and then take the reciprocal of both sides:\[\frac{2}{x} = y \Rightarrow 2 = xy \Rightarrow x = \frac{2}{y}\] Therefore, \( \frac{2}{x}= \frac{2}{y}\).

(b) To calculate Fried m, we will use the formula: \[f_m = L + \frac{(n/2 - F)}{f} \times c\]where L is the lower limit of the modal class, F is the cumulative frequency of the class preceding the modal class, f is the frequency of the modal class, c is the class interval, and n is the total number of values.

First, we will calculate the class interval:c = (upper limit of class - lower limit of class) = (7-6) = 1 Next, we will construct a frequency table to find the modal class:| Class Interval | Frequency ||-------------------|------------|| 2-3 | 1 || 3-4 | 1 || 4-5 | 1 || 5-6 | 2 || 6-7 | 2 || 7-8 | 1 || 9-10 | 1 || 10-11 | 1 || 13-14 | 1 |The modal class is the class with highest frequency.

Here, two classes have frequency 2, so both are modes. They are 5-6 and 6-7.

Therefore, L = 5, F = 2, f = 2, n = 10, and c = 1. Substituting the values, we get:\[f_m = L + \frac{(n/2 - F)}{f} \times c = 5 + \frac{(10/2 - 2)}{2} \times 1 = 7\] Therefore, Fried m = 7.

(c) To find the mode, we look for the value(s) with highest frequency. Here, two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

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(y2-y1)/(x2-x1)

3-2=1

4-2=2

slope: 1/2

y-int: 1

y=1/2x+1

Answer:

Slope=1/2, y-intercept=(0,1)

Step-by-step explanation:

Slope is written in the format of Y/X. If you look at the pattern, you'll notice that every time Y goes up 1, X goes up 2.

So, 1/2.

The y-intercept is where the line crosses the y-axis and is therefore when X is equal to 0. Following the pattern, this would be when Y is equal to 1.

(0,1)