A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?

90

Step-by-step explanation:

It's a right-angle triangle

Hope this helps!

Using the Empirical Rule, it is found that 95 students reported readings between 79 g and 85 g.

It states that, for a normally distributed random variable:

In this problem, considering that the mean is of 82g and the standard deviation is of 3g, readings between 79g and 85g are within one standard deviation of the mean, hence it will compreend 68% of the 140 readings, so the number of students is given by:

0.68 x 140 = 95.

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Answer:

3

Step-by-step explanation:

If you deduct 5 from 8, you get the answer to 5 less than 8.

"5 less than 8" means we subtract 5 from 8:-

8-5

That's the expression :)

Simplify the expression:-

3

So if we have less than a number, we subtract that number.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

We can  rewrite (z ≤ −1.75) in order to  4%.

We have given that  (z ≤ −1.75).

We have to use the Normal Distribution is symmetrical

The normal distribution is symmetric and has a skewness of zero.

[tex]P(z \leq -1.75)[/tex]

[tex]P(z > > 1.75)[/tex]

[tex]1 - P(z \leq 1.75)[/tex]

[tex]1 - 0.9599[/tex]

[tex]0.04001 \times 100=4.001 \%[/tex]

That is nothing but the 4%

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?

From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]

Since the equation is known, try the formulas

First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true

[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]

This means that the function is even.

Answer:

1.63 cm

Step-by-step explanation:

Volume of water in Tank A

Volume of Tank B

Finding Height

Answer:

1.63 cm (nearest hundredth)

Step-by-step explanation:

Formulae

Volume of a cuboid = base width × base length × height

Area of a rectangle = width × length

Tank A

Given:

⇒ Volume of Tank A = 7 × 7 × 7 = 343 cm³

Tank B

⇒ Base area of Tank B = 14 × 15 = 210 cm²

Solution

Height = volume of Tank A ÷ base area of Tank B

           = 343 ÷ 210

           = 49/30 cm

           = 1.63 cm (nearest hundredth)

Answer:

No 108 is not a term of this sequence.

Step-by-step explanation:

3n+5 = 108

3n = 108 - 5

3n = 103

Divide both side with 3.

n = 103/3

n = 34.33

since n is not equal to 108 there it is not

Answer:

see below

Step-by-step explanation:

We can determine if 108 is a solution by setting 3n+5 =108

3n+5= 108

Subtract 5 from each side

3n+5-5=108-5

3n = 103

Divide by 3

3n/3 = 103/3

n = 103/3

This is not an integer so 108 is not a solutions

Answer:

There's enough soil to plant 8 herbs.

Step-by-step explanation:

24 ÷ 2 7/8 = 8.3

This shows that there's enough soil to plant 8 herbs.

Answer: 241.5 square inches

Step-by-step explanation:

Answer:

ABGE is a parallelogram because it has congruent sides

Step-by-step explanation:

:-)

Answer:

17/12=1 5/12

Step-by-step explanation:

the addition of 2/3+3/4=17/12=~1 5/12

Answer:

Step-by-step explanation:

36/120 for parts

x-36/120 is for labour

x = 120

120-36/120

84/120

times by 100 for percent

70%

To know how many calories has Sabir burned in his workout, first identify the calories he burnt every day, and then add them.

The total of calories burnt is equal to adding the calories burnt everyday:

Due to this, the steps recommended are:

Here is a hypothetical example:

Note: This question is incomplete because the chart is not given;  due to this, the answer is based on general knowledge.

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The appropraite statistical test that would be used to measure the difference  in the variability of the mean scores among the three schools is mean absolute deviation.

Mean absolute deviation is the average of the absolute difference between the data set and its mean. Mean absolute deviation is used to measure spread.

MAD =  [tex]\frac{1}{n}[/tex]∑ l x - m(x) l

Where:

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Answer:

15x^2 + 14x - 8.

Step-by-step explanation:

(3x + 4)(5x - 2)

= 3x(5x - 2) + 4(5x - 2)

= 3x*5x + 3x*-2 + 4*5x + 4*-2

= 15x^2 - 6x + 20x - 8

= 15x^2 + 14x - 8.

Answer:

the answer is 202 square inch

Step-by-step explanation:

Ref. to the diagram I have attached.

First, we can find the area of the square.

Here the side of the square is given 4 inches.

1. So Area of the square= side * side= 4*4= 16 square inches.

Now let's find the area of the smaller rectangle. Now here,

As one side of the square is the same as the breadth of the rectangle, the breadth of the rectangle will be 4 inches, and the length is given 9 inches.

2. So, Area of the smaller rectangle= length* breadth= 9*4= 36 square inches.

Now, lastly, we will find the area of the bigger rectangle:

Here, the length will be 15 inches and the breadth will be 10 inches (as the opposite sides in a rectangle are equal and the values are already given).

3. ∴  Area of bigger rectangle= l*b= 15*10= 150 square inches.

So now,

To find the total area of the figure, we need to add all the areas:

36+ 16+ 150= 202 square in.

ANSWER IS 202 sq. in.  

I know it's a bit long and boring to read, but hope it helps!!

Answer:

#1: 4) D

#2: 1) 34.89 = 3 × C

#3: 4) 6y + 18

Step-by-step explanation:

#1

Using the distributive property:

3 × 5z = 15z

3 × -3 = -9

The correct expression is 15z - 9. Hence, D is the right option.

#2

You need to find the cost of each box.

3 × C = 34.89

34.89 ÷ 3 = 11.63

3 × 11.63 = 34.89

Hence, 1) is the right option.

#3

Using the distributive property:

6 × y = 6y

6 × 3 = 18

The expression is 6y + 18. Hence, 4) is the right option.

hope this helps!! p.s. i really need brainliest :)

Answer:

Area of the trapezoid is 120

Answer:

10

Step-by-step explanation:

5! / (3! 2!)

[tex] \frac{5 \times 4 \times 3}{3 \times 2 \times 1} = 10[/tex]

Given Information :-

⠀

A rectangular prism, with dimensions,

⠀

To Find :-

⠀

⠀

Formula Used :-

⠀

[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf Volume = l \times b \times h }}} \: \star[/tex]

⠀

Here, we have already been provided with the base area that is the value of the product of length and breadth. Now, we just have to multiply the base area by height.

⠀

Solution :-

⠀

[tex] \sf : \implies Volume =14 \: {in}^{2} \times 7 \: {in}^{} \\ \\ \\ \sf : \implies Volume = \underline{ \boxed{ \frak{ \orange{ {98 \: in}^{3} }}}} \: \star \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the volume of the rectangular prism is 98 m³.

⠀

[tex] \underline { \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

98

Step-by-step explanation:

14 x 7=98

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1[/tex]

[tex]\\ \rm\Rrightarrow 3tan(2x+10)=1[/tex]

[tex]\\ \rm\Rrightarrow tan(2x+10)=1/3[/tex]

[tex]\\ \rm\Rrightarrow 2x+10=18[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

Answer:

Step-by-step explanation:

Before comparison can take place, these three measurements must be expressed in the same unit of measurement:

130 inches becomes 130/12 feet, or 10.83 ft;

4 yards becomes 4*3 feet, or 12 feet; qne

10 feet stays as is.  

It becomes obvious that the greatest measurement is 12 feet, followed by 10.83 feet, followed by 10 feet.

The ordered list from greatest to least is 4 yards, 130 inches, 10 feet.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

First, we need to convert all the units to a common unit before we can compare them.

Let's convert them all to inches:

4 yards = 12 feet × 4 = 48 feet = 48× 12 inches = 576 inches

10 feet = 10 × 12 inches = 120 inches

Now we have: 130 inches, 576 inches, 120 inches

Ordering from greatest to least, we get:

576 inches, 130 inches, 120 inches

4 yards, 130 inches, 10 feet

Therefore, the ordered list from greatest to least is 4 yards, 130 inches, 10 feet.

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Answer:

7

Step-by-step explanation:

the mean is (the sum of numbers in a data set)/(# of points in that data set).

So,

[tex]\frac{4+8+9+x+2}{5} = 6[/tex],

[tex]\frac{23+x}{5} = 6[/tex],

23+x = 6*5

23+x = 30

x= 30-23

x = 7

Hence, the value of x is 7.

Hope this helps!!!

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Answer:

1. B. one is acute and the other is obtuse

2. D. no determination can be made

3. B. right

4. D. it cannot be determined

Step-by-step explanation:

1. If ∠KAT and ∠GIF are supplementary angles then one is acute and the other is obtuse

example : m∠KAT = 70° and m∠GIF = 110°

2.If ∠DEF and ∠IPN are congruent, they are no determination can be made

counter-example:

m∠DEF = 50° and m∠IPN = 50°

3.If the sides of a triangle measure 3, 4 and 5, then the triangle is right

because : 5² = 3² + 4²

4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is it cannot be determined

5 1/3 - 2/3

= (5 – 0) + (1/3-2/3)

= 5 + 1-2/3

= 5 +-1/3

 = 4 2/3

in fraction:

= 4 2/3

in decimal:

= 4.6666666666667

I know that answer

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Answer:

d

Step-by-step explanation:

components of a vector is given as

X=vcos■ y= vsin■

substitute the substitute the vector into v and the angle into ■

hence x=-4.89

and y= 3.48