There are a total of 21 marbles in the box. And 5 of the marbles
are black and 6 of them are blue. A single marble is chosen at
random from the box. What is the probability of choosing a
black ball or a blue ball?

Answer:

[tex]-3x^2-4x[/tex]

Step-by-step explanation:

Simplify:

[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]

[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]

Group same factor:

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]

Add :

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]

Apply the distributive law: -(a+b) = -a - b

[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]

[tex]=-4x^2-6x+3+x^2+2x-3[/tex]

Group same factor:

[tex]=-4x^2+x^2-6x+2x+3-3[/tex]

Subtract:

[tex]=-4x^2+x^2-6x+2x[/tex]

Add:

[tex]=-3x^2-6x+2x[/tex]

Group same factor:

[tex]=-3x^2-4x[/tex]

Hence answer = [tex]-3x^2-4x[/tex]

~lenvy~

Answer:

1/4

Step-by-step explanation:

It is really weird that this answer is not on there but here is my explanation.

We can consider this question in two different ways.

First, we could list the possible outcomes.

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

In total 8 possibilities, 2 of which are either all heads or all tails. So the probability is 2/8 which is 1/4.

Alternatively, we could look at each of the three independent events in turn.

We toss the first coin. We don’t mind whether it lands head or tail, but we need to note the result. The probability of getting any result is 1.

We toss the second coin and there is a probability of 1/2 that the result matches the first toss.

We now toss the third coin and again there is a probability of 1/2 that the result matches the first toss.

So the probability of getting all heads or all tails is the probability of getting any result from the first toss (1) multiplied by the probability of a matching result for the second toss (1/2) multiplied by the probability of a matching result for the third toss (1/2).

So that’s 1 * (1/2) * (1/2), which is 1/4.

Answer:

  (e)  0.75

Step-by-step explanation:

The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.

The correlation coefficient of the z-scores is 0.75.

The area of a rectangular shelf with length of 1 2 / 3 ft and width of 5 / 8 ft is  [tex]1\frac{1}{24}[/tex] ft

A rectangle is a quadrilateral. It has 2 opposite sides equal to each other.

Therefore,

area of rectangle = lw

where

Therefore,

length = 1  2 / 3  = 5 / 3 ft

width = 5 / 8 ft

area = 5 / 3 × 5 / 8

area = 25 / 24 ft

area = [tex]1\frac{1}{24}[/tex] ft

learn more on rectangle here: https://brainly.com/question/1106604

Answer:

p = r-8

Step-by-step explanation:

40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants

A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)

(5,-2)

we know that,

the midpoint of the diagonals of a rectangle bisect each other,

so,

[tex] \huge \rightarrow \frac{x + 1}{2},\frac{y+ 3}{2} = \frac{5 + 1}{2},\frac{3 - 2}{2} \\ [/tex]

[tex] \huge \rightarrow \: x = 5 \: \\ \huge \rightarrow \: y = - 2[/tex]

Answer:

(5,-2)

Step-by-step explanation:

Cause me smart

Answer: 7.5 or 7 1/2

Step-by-step explanation:

Divide 45 divided by 7

Answer:

the answer is shown below

Step-by-step explanation:

hope this helps

have an awesome day -TJ

The surface area of the cylindrical flower pot to the nearest inch is equal to [tex]346\;in^2[/tex]

Given the following data:

Diameter = 10 inches.

Height = 6 inches.

Radius = [tex]\frac{diameter}{2} =\frac{10}{2}[/tex] = 5 inches.

Mathematically, the surface area (SA) of a cylinder is given by this formula:

[tex]S.A = 2\pi rh + 2\pi r^2[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]S.A = 2\pi (5)(6) + 2\pi (5)^2\\\\S.A =188.52+157.1 \\\\S.A = 345.62\\\\S.A=346\;in^2[/tex]

Read more on surface area here: brainly.com/question/21367171

Answer:

Step-by-step explanation:

Number the weekdays, and relevant time, then look for the pattern

We get the series:

If you notice, the difference between the terms is:

It indicates the following terms are:

Since z represents the seventh term, the running time on Sunday is 28 minutes.

As we see looking for patterns helped to solve the question.

Correct choice is D

Answer:

D

Step-by-step explanation:

Because its D

Answer:

X = 64

Y = 18

Z = 98

Step-by-step explanation:

Angles on a straight line always add up to 180 Degrees

Vertical Opposite Angles are equal to each other

X = 64

Y = 18

Z = 180 - 64 - 18 = 98

Answer:

  (b)  64 sq. in.

Step-by-step explanation:

The shaded area is the difference between the overall area and the areas of the cutout corners.

The overall area is 10 in by 10 in, so is ...

  A = s² = (10 in)² = 100 in²

The area of the cutout at each of the four corners is ...

  A = s² = (3 in)² = 9 in²

So, the total area of the four cutouts is ...

  cutout area = 4 × 9 in² = 36 in²

The remaining area is then ...

  100 in² -36 in² = 64 in²

Answer:

Your answer is 4.72

Use the formula:V=πr2h

Answer:

x ≥ -2

Step-by-step explanation:

6x-2 ≥ 4x-6

2x ≥ -4

x ≥ -2

PLEASE RATE!! I hope this helps!!

If you have any questions comment below...

(I have verified this answer on an online calculator)

The value of ∠X in triangle VWX ( ΔVWX) to the nearest degree is 2 degrees.

The angle X can be found using the cosine rule.

w² = x² + v² - 2xv cos W

w² = 110² + 700² - 2 × 110 × 700 cos 9°

w² = 12100 + 490000 - 154000 cos 9°

w² = 502100 - 154000 × 0.98768834059

w² = 502100 - 152104.004452

w = √349995.995548

w = 591.604593921

w = 591.60 inches

Using sine rule, let's find ∠X

Sine rule

110 / sin X = 591.60 / sin 9°

Therefore,

110 sin 9 = 591.60 sin X

sin X = 110 sin 9 / 591.60

sin X = 110 × 0.15643446504 / 591.60

sin X = 17.2077911544 / 591.60

X= sin⁻¹ 0.02908686807

∠X = 1.66678986656

∠X = 2 degrees

learn more on cosine law here : https://brainly.com/question/15268683

Answer:

that is not a function

Step-by-step explanation:

Answer:

I would choose the $400 raise

Step-by-step explanation:

Well 15% of 2000 would be $300 dollar raise so i would choose the $400 dollar raise instead of the $300 raise because I get more money.

If it was a 10% raise you would get $200 dollar raise

If it was 8% raise you would get $160 dollar raise

And if it was a 5% raise you would get a $100 dollar raise

Answer:

[tex]\displaystyle 707\:ft.^2[/tex]

Step-by-step explanation:

Split the diametre in half before proceeding:

[tex]\displaystyle \pi{r}^2 = A \\ \\ 15^2\pi = A \hookrightarrow 225\pi = A \hookrightarrow 706,85834706... = A \\ \\ \boxed{707 \approx A}[/tex]

I am joyous to assist you at any time.

Answer: There are 24 monkeys in the tress.

Step-by-step explanation:

Answer:

Yes they are both correct.

Step-by-step explanation:

yes they are both correct.

Answer: a prediction of the number of hot cocoas sold when the temperature is 0F

Step-by-step explanation: i did it on delta math

The line's y-intercept represent ''Number of hot cocoas sold''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Chloe has a part-time job at an ice skating rink selling hot cocoa.

She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.

Now,

Since, She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.

Hence, By the graph we have;

The line's x - intercept represent ''Temperature''.

And, The line's y-intercept represent ''Number of hot cocoas sold''.

Thus, The line's y-intercept represent ''Number of hot cocoas sold''.

Learn more about the mathematical expression visit:

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Answer:

He has 3.25 ([tex]3\frac{1}{4}[/tex]) cupcakes left

Step-by-step explanation:

Stephen starts with 4 cupcakes

If he eats [tex]\frac{3}{4}[/tex] of 1 cupcake, he will have [tex]\frac{1}{4}[/tex] of said cupcake left

[tex]1-\frac{3}{4} =\frac{1}{4}[/tex]

Since he has 3 other cupcakes, we will add the remaining [tex]\frac{1}{4}[/tex] of the other cupcake to the total.

[tex]3+\frac{1}{4} =3\frac{1}{4}[/tex]

Hope this helped!

3 is less than w , 7 is greater than or equal to w

[tex]3 < w \\ 7 \geqslant w[/tex]

Answer:

3 < w = 7 ≥ w

Step-by-step explanation:

Less than= "<"

Greater than or equal to = ≥

Answer:

b. [tex]3^{-x}[/tex]

Step-by-step explanation:

(-2, 9)

[tex]f(-2)=3^{-(-2)} =3^{2} =9[/tex]

(-1, 3)

[tex]f(-1)=3^{-(-1)} =3^{1} =3[/tex]

(0 1)

[tex]f(0)=3^{0} =1[/tex]

Hope this helps

Answer: How do you not understand this?

I understand it perfectly.

Step-by-step explanation:

The  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

Given:

Blue pens=4

Green pens=3

Hence:

Probability=4³+3³÷(4+3)³

Probability=64+27/343

Probability=91/343

Probability=0.2653×100

Probability=25.53%

Therefore the  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

Learn more about probability here:https://brainly.com/question/24756209

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❍ Concept :-

⠀

We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

⠀

✱ Given Information :-

⠀

A rectangular mat with,

⠀

✱ To Find :-

⠀

⠀

✱ Formula Used :-

⠀

[tex] \diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\ [/tex]

⠀

✱ Solution :-

⠀

Let the breadth of the mat be x, therefore,

⠀

Now, according to the question,

⠀

[tex] \sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\ [/tex]

Thus,

⠀

Now, we have to find out the area of the mat, thus,

⠀

[tex] \sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\ [/tex]

Thus, the area of the mat is 72 sq. ft.

⠀

[tex]\underline {\rule{221pt}{2.5pt}} \\ \\ [/tex]

Answer:

72 sq. feet

Step-by-step explanation

Since the perimeter is 36 feet and the length is 2w, you have to do the guess and check method.

I already did the guess and check method. So, here's how it became:

length =12

width=6

because 6x2=12 or 12 divide 2=6.

12 + 6 + 12 + 6.

12+6= 18. 12+6=18. 18+18=36 feet.

To find the area of a rectangle, you have to do L times W.

Which means 12x6.

12x6=72 sq. feet.

I hope this helps!!!

Answer:

6338.7

Step-by-step explanation: