4-[2.5(5.4+2.6)-(-7.2)

Answer:

Where are the number lines?

Step-by-step explanation:

Put them DB and I'll gladly answer!

1) there are 12 possible lunch options. 2) the probability of having any meal with no cookie is 1/2 or 0.5.

1) Number of possible lunch options:

To determine the number of possible lunch options, we need to consider the choices for each component of the lunch.

- Sandwich: There are 3 options (turkey, roast beef, or bologna).

- Fruit: There are 2 options (orange or apple).

- Dessert: There are 2 options (cookie or muffin).

Using the counting principle, we multiply the number of options for each component together:

Number of possible lunch options = 3 (sandwich options) × 2 (fruit options) × 2 (dessert options) = 12.

Therefore, there are 12 possible lunch options.

2) Let's examine the favorable outcomes for each component:

- Sandwich: There are still 3 options (turkey, roast beef, or bologna).

- Fruit: There are 2 options (orange or apple).

- Dessert: There is 1 option (muffin, as we want to exclude cookies).

Using the counting principle, we multiply the number of options for each component together:

Number of favorable outcomes (no cookie) = 3 (sandwich options) × 2 (fruit options) × 1 (muffin option) = 6.

The total number of possible outcomes is still 12 (as calculated in the previous step).

Therefore, the probability of having any meal with no cookie is:

P(No cookie) = Number of favorable outcomes / Total number of possible outcomes = 6 / 12 = 1/2 or 0.5.

Hence, the probability of having any meal with no cookie is 1/2 or 0.5.

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Answer:

1) there are 12 possible lunch options. 2) the probability of having any meal with no cookie is 1/2 or 0.5.

Step-by-step explanation:

Answer:

You mean like this?

Step-by-step explanation:

The blue line

Answer:

3 1/3

Step-by-step explanation:

Answer:

1st one 8/20

Step-by-step explanation:

Answer:

b d I'm not sure what high value is

Step-by-step explanation:

range is th sum ofe highest and lowest number so 9-3 and median is the number in the middle 6

When we're solving with scale factors, we either divide or multiply.

If the shape becomes larger, we multiply to get the new length.

If the shape becomes smaller, we divide to get the new length.

We're given:

Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.

2.5 x 6 = 15

Therefore, the missing side length is 15 units.

15 units

Answer:

6

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Ok So do you see the right angle square that equals 90 so all you have to do is subtract 32 from 90 which is 58

Answer:

A. This problem would best be solved using a tree diagram.

B. In order to solve it, you would construct a tree with the first soup choices growing into the other options. Then, after listing every alternative, you could either add them all up to obtain your answer or you could just use the formula 2*4*2=16, which would result in 16 possibilities.

Answer:

F : y = -x + 4

Step-by-step explanation:

The first observation about this scatterplot is that the best line of fit will be a line going diagonally from top left to bottom right(or bottom right to top left)

Such a line has negative slope

Equation will be of the form

y = mx + b where m is a negative number

We can eliminate H and I since both lines have a positive slope which means that the line will go in a diagonal bottom left to top right direction

Let's examine options F and G

F:  y = - x + 4
G: -9x + 3

Plug in some values for x from the graph and see which of the lines comes closest to the  y values  computed from the equations

At x = -5, the y value from the graph appears to be either 7 or 8

F: y = -x + 4 ==> -(-5) + 4 = 5 + 4 = 9; pretty close to graph's point value

G: -9x + 3 ==> -9(-5) + 3 = 45 + 3 = 48; this is greatly different from the graph value

At x = 0; the y value from graph is close to 4

From the equations we get
F: y = -x + 4 ==>  y = -(0) + 4 = 4; pretty darn close

G: y  -9x + 3 => y = -9 + 3 = -6; large difference

One more point
At x = 20, the point on the graph appears to be close to -19

From the equations we get

F: y = -x + 4 = -20 + 4 = -16; not too different

G: y = -9x + 3 = -9(20) + 3 = -180 + 3 = 177; way off

So the best line of fit would be

F : y = -x + 4

The equation that best represents the line of fit from the scatter plot is given as follows:

y = -x + 4.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

From the scatter plot, we have that when x = 0, y = 4, hence the intercept b is given as follows:

b = 4.

When x = 20, y is approximately -16, hence the slope m is obtained as follows:

-16 = 20m + 4

20m = -20

m = -1.

Hence the function is:

y = -x + 4.

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Answer:

i think it is a

Step-by-step explanation:

Answer:

x = -3/14

Step-by-step explanation:

1/2(2x-1) = -1/7 -4/7

Combine like terms

1/2(2x-1) = -5/7

Multiply each side by 2

2*1/2(2x-1) = -5/7*2

2x-1 = -10/7

Add 1 to each side

2x-1+1 = -10/7 +1

2x = -10/7 +7/7

2x = -3/7

Divide by 2

2x/2 = -3/7 *1/2

x = -3/14

Answer:

1/9

Step-by-step explanation:

First spin is counted as 1/3 (greater than 4) then the second multiplies 1/3 by 1/3 since there's a second spin. You don't reset the odds, they add on.

I'm pretty sure its 1/9

Answer:

Step-by-step explanation:

true

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

Two sets of data, set X and set Y are given

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

Therefore, both the data sets has same range and mean.

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.  

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Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

We know

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

also

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

Step-by-step explanation:

2 is 2.0 decimal form and 8/10 is 0.8 and -3.5 already done.

Answer:

Yes.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The surface area of the top open cylinder is 6810.149 sq.cm.

A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.

Surface area of a cylinder = Base area + Lateral area

Base area of a cylinder = 2 × π × r²

Lateral area of a cylinder = (2 × π × r) × h

Therefore, here base area of a cylinder = 2× π × 12²

                                                                  = 5837.27 sq.cm.

And, lateral area of a cylinder = (2 × π × 12) × 2

                                                  = 972.8784 sq.cm.

Therefore, total surface area of a cylinder = 5837.27 + 972.8784

                                                                      = 6810.149 sq.cm.

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Answer:

Step-by-step explanation:

form. Meaning you need make both fractions improper

Answer:

2x^2 if x=1/8     1/16

4x^2 if x=1/8      1/2

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

27 = 3³

27^⅔

3³^⅔

3^(3×2/3)

3²

9

Answer: 1/2 + 2/3 + 4 /6  = 11/6

Step-by-step explanation:

1/2 + 2/3 + 4 /6

We need to find a common multiple, for the denominator. Let us choose 6, so we do not have to deal with large numbers.

Note that we do not change 4/6, since it already has a denominator of 6.

==> 3/6 + 4/6 + 4/6

Add;

==> 11/6

3/6 + 4/6 + 4/6  equal to 11/6

Hope this helped!

The equation is \(2w + 10 = 26\).

The number of weeks the driving class lasts is 8weeks.

Given that,

Terrence signed up for the Safe Venture driving school.

He will spend 10 hours driving with an instructor and will also attend weekly 2-hour classes.

When Terrence completes the 26 total hours of instruction, he will take his driver's test.

We have to determine,

Which equation can you use to find w, the number of weeks the driving class lasts.

According to the question,

He will spend 10 hours driving with an instructor and will also attend weekly 2-hour classes.

Then, The equation of the number of weeks the driving class lasts,

\(= 2w + 10\)

When Terrence completes the 26 total hours of instruction, he will take his driver's test.

\(2w + 10 = 26\)

He spends 10 hours driving and adding on 2 more classes with a total of 26 hours.

Therefore,

The number of weeks the driving class lasts,

\(2W + 10 = 26\\\\2W = 26-10\\\\2W = 16\\\\W = \dfrac{16}{2}\\\\W = 8\)

Hence, The number of weeks the driving class lasts is 8weeks.

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Answer:

open circle

Step-by-step explanation:

open circle is  greater than <  and  less than >   and closed circle are the ones with the line under the symbol

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Answer: -5/7x-1/6 I think

Step-by-step explanation:

Convert 2/3 to 4/6. Add 4/6 + -5/6 to get -1/6. Shuffle terms to -5/7x-1/6. Can't subtract -5/7x and -1/6 because they are not like-terms.