Longhorn Pizza has the following number of topping options available: four vegetables, two meats, and two cheeses. A pizza is ordered with exactly four toppings. What is the probability that the pizza is ordered with exactly two vegetables, one meat, and one cheese

Let x be the length of the third side.

Thus:

[tex]\mathsf{25^2=17^2+x^2}\\\\\mathsf{625=289+x^2}\\\\\mathsf{x^2=625-289}\\\\\mathsf{x^2=336}\\\\\mathsf{x=\sqrt{336}}\\\\\boxed{\mathsf{x=4\sqrt{21}}}[/tex]

Answer: -9

Step-by-step explanation:

f(x)=-5x-4

f(1)=-5(1)-4

    =-5-4

f(1) =-9

Answer:

Step-by-step explanation:

circumference of a circle = 2πr

9.22 cm = 2*3.14*r

9.22 cm = 6.28*r

9.22 cm /6.28 = r

1.4681 = r

diameter of a circle = 2*r

=2*1.4681

=2.9362

=2.9 cm

Answer:

The Length of diameter of circle is 2.93cm.

Step-by-step explanation:

Using formula

Circumference of circle = π × d

substitute the values

9.22 cm = π × d

Using value of π = 3.14

9.22 cm = 3.14 × d

divide each side by 3.14

9.22 cm / 3.14 = 3.14 × d /3.14

2.93 cm = d

Hence, The Length of diameter of circle is 2.93cm.

Answer: 1178

Step-by-step explanation:

You can make 5.5% 0.055

Multiply 0.055 by $21000

0.055 x $21000 = 1155

Then you have to add 23

1155+23=1178

Answer:

The slope is  y=-5x+100 and she loses 5% per hour

Step-by-step explanation:

hope it helps and can you pls give me brainliest im desperate

Answer:

549,000

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

2 dice = 12 numbers

1, 2, 3, 4 and 1, 2, 3, 4 are less than five.

This is a total of 8 numbers.

[tex]\frac{8}{12} =\frac{8/4}{12/4}=\frac{2}{3}[/tex]

The probability that both numbers are less than 5 on throwing 2 dices is given by P ( A ) = 4/9 = 44.44 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that both numbers are less than 5 on throwing 2 dices be represented as P ( A )

Now , the total number of outcomes for throwing 2 dices = 36 outcomes

And , out of these 36 possible outcomes, there are 16 outcomes where both numbers are less than 5

{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3),

(3,1), (3,2), (3,3), (4,1), (4,2), (4,3),

(1,4), (2,4), (3,4), (4,4)}

So , the number of possible outcomes = 16

And , probability P ( A ) = 16/36

P ( A ) = 4/9

Hence , the probability is 4/9

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Answer:

-1

Step-by-step explanation:

Distribute

6x - 2 >= 4x - 6

2x >= -4

x >= -2

Answer:

1.075 or 43/40

Step-by-step explanation:

Answer:

1 3/40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4 classes

Step-by-step explanation:

4+3+5+9+3+4=28

28/6=4.6

Answer:

20/7 or 13

Step-by-step explanation:

Answer:

20/7 doesn't reduce, so it's 20/7

if you mean 20- 7 it's 13

the proper fraction would be 2 remainder 6, 2.6, 2 and 6/10, or 2 and 3/5 simplified.

Solution :

Given :

Equation :

y = 6.3333 x + 53.0298

Here, x = number of hours studied

         y = the exam score

a). To predict the exam score, we have to replace x in the least square regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (2) + 53.0298

      = 65.6964

Thus he predicted exam score is 65.6964

b). The slope is the co-efficient of x in the least squares regression line :

  Slope = 6.3333

 The slope represents the average increase in y as x increases by 1.

  The exam score increases on average by 6.3333 points per hour studied.

c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :

  y = 6.3333 x + 53.0298        

 y = 6.3333 (0) + 53.0298

    = 53.0298

d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (5) + 53.0298

   y = 84.6963

Thus the average exam score of a student who studied 5 hours is 84.6963

Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.

Answer:

96

Step-by-step explanation:

A=bh=8·12=

NEXT TIME SHOW THE PICTURE BUT YOU GOOD FOR RN.

Answer:

Step-by-step explanation:

I took the quiz.

But really, the Earth is not that old. just a couple thousand years old.

There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.

Hope this helps and have a great day!

:)

Answer:

A. Quaternary

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  628 cm³

Step-by-step explanation:

Put the given numbers into the formula and do the arithmetic.

  V = πr²h

  V = (3.14)(5 cm)²(8 cm) = 628 cm³

Answer:

Hello! answer: 12

Step-by-step explanation:

1/4 × 1/3 = 1/12 therefore there our 12 possible outcomes

Answer:

"there is exactly one output for each input" is cotrrect

"the graph of a linear function" is correct

Step-by-step explanation:

Answer:

B. 3.52

Step-by-step explanation:

4.20+1.80=6.00

6.00 x .08 (8% tax)=.48 tax

6.00+ .48=6.48 total cost

10.00-6.48=3.52 change from a $10 bill

Answer:

B and C

Step-by-step explanation:

If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)

If you take the greatest common factor then it could be factored to 12(2m-p+6)

Answer:

a) The fixed cost is $1350.

b) Total variable cost is $6000.

Step-by-step explanation:

a) The fixed cost = Operational cost + Insurance company bill.

                           = $ 1000  + 350 = $1350.

b) Variable cost:-

The number of facilitators = 20.

The salary for each facilitator = $300.

Total variable cost = $300 x 20 = $6000.

Answer:

Step-by-step explanation:

x+x+40=2

+ 4 0

2x+31=1205

2x=1205-31

2x=1174

x=1174/2

x=587

leslie will hace 587 score and

jackson =587+31= 618

Answer:

y=-3x-5

Step-by-step explanation:

(-1, -2) (0, -5)

use slope formula

ΔY = (-5 – -2) = -3

ΔX = (0 – -1) = 1

m = -3

y=mx+b

-5 = -3(0)+b

b = -5

y=-3x-5

Answer:

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

Step-by-step explanation:

[tex](-6p^{3} )(3p^2+5p-1)[/tex]

[tex](-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)[/tex]

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

hope this helps.....

9514 1404 393

Answer:

  115°

Step-by-step explanation:

Let A, B, C represent the vertex angle measures of ΔABC. Then the sum of angles in ΔADC is ...

  A/2 +∠ADC + C/2 = 180°

Multiplying by 2 gives ...

  A + C + 2×∠ADC = 360°

From the given information, we know ...

  A + C + 50° = 180° . . . . . sum of angles in ΔABC

This lets us write an expression for (A +C):

  A + C = 130° . . . . . . . . subtract 50° from the previous equation

Substituting for A+C, we get ...

  130° + 2×∠ADC = 360°

  2×∠ADC = 230° . . . . . . . . . subtract 130°

  ∠ADC = 115° . . . . . . . . . . . divide by 2

Answer:

Part A = B. 1 ÷ 1/3 = 3

Part B = 27 brownies

Step-by-step explanation:

Part A

From the ingredients given in above question:

1/3 cup of butter = 1 batch of brownies

Hence: 1 cup of butter = x

Cross Multiply

1/3 cup of butter × x = 1 cup of butter × 1 batch of brownies

x = 1 cup of butter × 1 batch of brownies/1/3 cup of butter

x = 1 batch of brownies ÷ 1/3

x = 1 batch of brownies × 3/1

x = 3 batches of brownies

Hence, the number brownies Jackson can make with 1 cup of butter Is 3 batches of brownies

Therefore, the equation you can use to solve the problem is Option B. 1 ÷ 1/3 = 3

Part B

If each brownie is 1/9 of a batch, how many brownies did he make?

We know from Part A that Jackson made 3 batches of brownies hence:

1/9 of a batch of brownies = 1 brownie

3 batches of brownies = x

Cross Multiply

1/9 of a batch of brownies × x = 1 brownie × 3 batches of brownies

x = 1 brownie × 3 batches of brownies/ 1/9 of a batch of brownies

x =( 3 ÷ 1/9) brownies

x = ( 3 × 9/1) brownies

x = 27 brownies

Therefore, the number of brownies he made was 27 brownies.

Answer:

Commission: $46.68

Step-by-step explanation:

https://www.commission-calculator.com/

By using this calculator, it shows you exactly the commission rate.

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-3+a}{2}=2[/tex]

[tex]-3+a=2\times 2[/tex]

[tex]a=4+3[/tex]

[tex]a=7[/tex]

And,

[tex]\dfrac{3+b}{2}=0[/tex]

[tex]3+b=0[/tex]

[tex]3+b-3=0-3[/tex]

[tex]b=-3[/tex]

Therefore, the coordinates of point B are (7,-3).