On a snowy evening only 2/3 of the registered students in Bob's chess
class came to school. Eighteen students attended that night. How
many students are registered in Bob's class?

The probability of choosing a preschooler who is a girl and prefers the color blue is 0.3 or 30%.

The total number of preschoolers who were asked about their color preference is 70. Out of these, 35 girls chose pink, 15 girls chose blue, 5 boys chose pink, and 15 boys chose blue.

To find the probability of choosing a girl who prefers blue, we need to use the formula:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Here, the favorable outcome is choosing a girl who prefers blue. We can see that 15 girls chose blue as their preferred color. Out of these, we need to choose a girl, so the total number of favorable outcomes is 15.

The total number of outcomes is the total number of preschoolers, which is 70. Out of these, the number of girls is 35+15=50. Therefore, the total number of outcomes where a girl can be chosen is 50.

Putting these values in the formula, we get:

Probability = 15/50 = 0.3

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Complete Question;

70 preschoolers were asked whether they preferred blue or pink.

35 Girls chose pink as preferred color, 15 girls chose blue as preferred color, 5 boys chose pink as preferred color, and 15 boys chose blue as preferred color.

Assuming one of the preschoolers is chosen at random determine the probability of choosing a preschooler that is a girl that prefers the color blue. Round answer to 2 decimal places.

The slope of the line passing through the points (2,-5) and (4, 1) is 3.

       m = Δy/Δx  = change in y/change in x

where "m" represents a line's slope.

Given, the points of the line are (2, -5) and (4, 1).

Now, to calculate the slope of the line passing through the two points.

Using the formula, one may get the slope of the line connecting the points

Slope, m = y₂ - y₁ / x₂ - x₁

So, m = ( 1 - (-5)) / (4 - 2)

         =  6/2

         = 3

So, the slope of the line is 3.

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The jeweler made 4 bracelets and 6 necklaces using 172 grams of gold.

An equation is a mathematical statement that shows that two expressions are equal. It contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations are used to solve problems by finding the values of the variables that make the equation true.

Let x be the number of bracelets made, and y be the number of necklaces made.

Then, we can create the following system of equations:

Equation 1: 7x + 24y = 172 (the total amount of gold used is 172 grams)

Equation 2: y = x + 2 (the number of necklaces made is 2 more than the number of bracelets made)

So, the variables are x (the number of bracelets made) and y (the number of necklaces made).

We can solve this system of equations to find the values of x and y. We can use substitution or elimination to solve for one variable and then plug it into the other equation.

Substitution method:

From Equation 2, we have y = x + 2. Substituting this into Equation 1, we get:

7x + 24(x+2) = 172

7x + 24x + 48 = 172

31x = 124

x = 4

So, the jeweler made 4 bracelets.

Plugging this into Equation 2, we get:

y = x + 2 = 4 + 2 = 6

So, the jeweler made 6 necklaces.

Therefore, the jeweler made 4 bracelets and 6 necklaces using 172 grams of gold.

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Answer:

40 is the answer . is it right or Not?

Answer:

-10

Step-by-step explanation:

40 - 2x [(8 x 3 + 6) + 12 -2

Using BODMAS meaning Bracket Of Division Multiplication Addition and Subtract

Solve Bracket first multiplying first inside the bracket then add your result

40 - 2x [(8 x 3 + 6) + 12 -2

40 - 2x [(24 + 6) + 12 -2

40 - 2x(30) + 12 -2

Multiple

40 - 60+12-2

-10

Answer:

\(n = 5\)

Step-by-step explanation:

Given

\(2.54n = 12.7\)

Required

Find n

We have:

\(2.54n = 12.7\)

Divide both sided by 2.54

\(\frac{2.54n}{2.54} = \frac{12.7}{2.54}\)

\(n = \frac{12.7}{2.54}\)

\(n = 5\)

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

See attached

Step-by-step explanation:

Refer to attached

Only column 3 - Trina's numbers represents proportional relationship

Equation for it is:

Calculation is provided on the table

The statements that are true are:

A : Vertical angles are congruent, therefore, another angle must equal 67°

F: Two of the angles formed will have a sum of 180°

What happens when two lines intersect?

When two lines intersect, their vertical angles are always the same and the sum of the two angles on a straight line is 180°

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The number of customers that have all the papers is 3.

There are 26 customers who buy only times and 31 customers who buy only punch newspapers.

There are 32 customers who buy only punch and 22 customers who buy only tide newspapers.

There are 26 customers who buy only time and 22 customers who buy only tide newspapers.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Three newspapers:

Time, Punch, and Tide.

Times = 70.

Punch = 60.

Tide = 50.

17 buy both the Times and the punch.

15 buy the punch and the tide.

16 buy the tide and Times.

3 customers buy all three papers.

This can be represented as given below in the Venn diagram.

Now,

The number of customers that have all the papers is 3.

The relationship between time and punch.

= There are 26 customers who buy only times and 31 customers who buy only punch newspapers.

The relationship between punch and tide.

= There are 32 customers who buy only punch and 22 customers who buy only tide newspapers.

The relationship between time and tide.

= There are 26 customers who buy only time and 22 customers who buy only tide newspapers.

Thus,

The number of customers that have all the papers is 3.

There are 26 customers who buy only times and 31 customers who buy only punch newspapers.

There are 32 customers who buy only punch and 22 customers who buy only tide newspapers.

There are 26 customers who buy only time and 22 customers who buy only tide newspapers.

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Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

B. 2(11A + 7)

Step-by-step explanation:

The common factor of 22 and 14 is 2

Answer:

y= 1x-1

Step-by-step explanation:

i used stat edit

Answer: Let 5/9=□/54

Clearly shows 54=(9×6)

Now multiply the numerator by 6 also

∴5 / 9 = (5 \times 6) / (9 \times 6) = 30 /54$$

Hence, 30/54 is the equivalent fraction of 5/9 having denominator 54

(ii) Let 5/9=35/□

Clearly shows 35=(5×7)

Now multiply the denominator by 7 also

∴5/9=(5×7)/(9×8)=35/63

Hence, 35/63 is the equivalent fraction of 5/9 having numerator 35

Step-by-step explanation:

Answer:

Options 3, 4, and 5

Step-by-step explanation:

just count the x's.

If it equals 8, then its correct

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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The ratio of two screws written in three different forms are,

2.5 : 1.5, 5 : 3 and 1.5/2.5.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Two screws are in the ratio of 1.5 inches and 2.5 inches.

It can be written as 2.5 : 1.5

It can also be written as 2.5×10 : 1.5×10 = 25 : 15 = 5 : 3.

It can also be written as a fraction as, 1.5/2.5.

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Answer:y= -2x/3 + 2

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

When the Ftest is used to test the overall significance of a multiple regression model, it evaluates the significance of independent variables to the outcome of the regression model. The null hypothesis of an Ftest when used for multiple regression is that, the independent variables aren't significant in the outcome of the regression model while the alternative Hypothesis claims that the independent variables are significant .

For the overall significance evaluation, once one of the independent variables proves significant, then the overall Ftest is significant, that is it does not require that all individual independent variables are significant. The null only stands when all the independent variables are insignificant.

Therefore, the overall Ftest for significance isn't enough to prove that all individual. Independent variables are significant when the null is rejected.

What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:

The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

Answer:

Answer is 3,4,5

I better see the brainliest now.

Answer:

Step-by-step explanation:

you can check each choices by using the Pythagorean theorem

√(8² + 9² ) ≠ 10  -------- x

√(5.5² + 12.5² ) ≠ 13.5  -------- x

√(7² + 22² ) ≠ 25    -------- x

The missing values of the ordered pairs using the given equation are:

x = -1; y = 8

The computed table is:

x  | y  

-3   8

-1,   2

To complete a table of values, we can plug in the known value of each of the ordered pairs that are represented in a table into the given equation that models the relationship, then find the value of the missing variable.

The equation that represents the relationship between x and y is given as y = -3x - 1.

Find the value y in the ordered pair (-3, y) by substituting x = -3 into y = -3x - 1:

y = -3(-3) - 1 = 8

y = 8

Find the value x in the ordered pair (x, 2) by substituting y = 2 into y = -3x - 1:

2 = -3x - 1

Add 1 to both sides

3 = -3x

Divide both sides by -3

x = 3/-3

x = -1

The ordered pairs with the missing values are: (-3, 8) and (-1, 2).

The table would be computed as:

x  | y  

-3   8

-1,   2

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Answer:

4 months

Step-by-step explanation:

Leslie's equation: y = 15x + 20

Rashad's equation: y = 10x + 40

you can put them both in a table or substitute each answer option for x in both equations and see when they're equal

if you substitute 4 for x, both equation equal 80

Answer:

12y^2 BC 4*3= 12 and then all you have to do is add the variable and square it.

Step-by-step explanation:

Hope you have a good day

Answer:

12y²

a

n

s

w

e

r

proved

l

h

s=

r

h

s

Answer:

The critical value is \(T_c = 1.7056\)

The 90% confidence interval for the mean repair cost for the refrigerators is ($52.875, $68.165).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 1.7056, which means that the critical value is \(T_c = 1.7056\)

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 1.7056\frac{23.29}{\sqrt{27}} = 7.645\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 60.52 - 7.645 = $52.875.

The upper end of the interval is the sample mean added to M. So it is 60.52 + 7.645 = $68.165.

The 90% confidence interval for the mean repair cost for the refrigerators is ($52.875, $68.165).

Answer:

30.4

Step-by-step explanation:

8 boxes = 243.20

find 1 boxes

= 243.20 ÷ 8

= 30.40 / 30.4

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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