A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.

What is the probability of randomly selecting an insect?
Express the probability as a reduced fraction

The probability that the volume of a can chosen at random is ≥382 is 0.47725

Probability is the likelihood or chance that an event will occur. For the given question, we need to calculate the  z value as shown;

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

Given the following parameters

[tex]x=382mL\\\mu (mean)=372mL\\\sigma(S.D)=5mL[/tex]

Substitute

[tex]z=\dfrac{382-372}{5} \\z=\dfrac{10}{5}\\ z=2[/tex]

In order to calculate the probability that the volume of a can chosen at random is ≥382, we will look for (z≥2)

z≥2 according to probability table is equivalent to 0.47725

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Answer:

y=1

Step-by-step explanation:

Start by plugging in -3 for x in the equation 2x+5y=-1 then solve for y.

2(-3)+5y=-1

-6+5y=-1 (add 6 to both sides)

5y=5 (divide both sides by 5)

y=1

Answer:

I think it is 3.750

Step-by-step explanation:

Answer:14.1%

Step-by-step explanation:

Answer:

last option

Step-by-step explanation:

[tex]6x + 4y = 8 [/tex]

[tex]4y = 8 - 6x[/tex]

[tex]y = \frac{8 - 6x}{4} \\ [/tex]

[tex]y = \frac{8}{4} - \frac{6x}{4} \\ [/tex]

[tex]y = 2 - \frac{3x}{2} \\ [/tex]

[tex]y = - \frac{ 3x}{2} + 2 \\ [/tex]

y = -3/2x + 2

Using the arrangements formula, it is found that 907,200 arrangements can be formed using the letters in the word FORGETTING.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

When there are repeating elements, with the number of times given by [tex]n_1, n_2, \cdots, n_n[/tex], the number of arrangements is given by:

[tex]A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]

In this problem, the word FORGETTING has 10 letters, of which G and T repeat twice, hence the number of arrangements is given by:

[tex]A_{10}^{2,2} = \frac{10!}{2!2!} = 907,200[/tex]

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The Pythagorean theorem also known as the Pythagoras' theorem, is the basic relationship between the three sides of a right triangle. The length of the diagonal of the screen is 7.211 ft.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the diagonal is 4 feet tall and 6 feet wide. Therefore, using the Pythagorean theorem, The length of the diagonal of the screen can be written as,

[tex]\text{Length of the diagonal} = \sqrt{4^2+6^2} = \sqrt{52} = 7.2111\rm\ ft[/tex]

Hence, the length of the diagonal of the screen is 7.211 ft.

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Answer:

Step-by-step explanation:

La cantidad numérica es donde escribes la cantidad del cheque con números/dígitos. Escribe los dólares en forma numérica y luego indica los centavos después del punto decimal. En el ejemplo a continuación, los dólares son ciento veinticinco (125) y los centavos son setenta y cinco (. 75).

Answer:

6m,8m,10m

Step-by-step explanation:

6m,8m,10m represent side lengths of a right triangle.

Proof :

for right angled triangle,

p^2 + b^2 = h ^ 2

6^2 + 8^2 = 10^2

36 + 64 = 100

100= 100{True}

proved

Answer:6m,8m,10m

Step-by-step explanation:

Answer:

value + value = 8379.70

249.99x + 329.99*30-329.99x = 8379.70

-80x + 9899.70 = 8379.70

-80x = -1520.00

x = 19

30-x = 11

Step-by-step explanation:

Answer: - 4

Step-by-step explanation:

Since x is already given, which is -1, just substitute the value.

7 * -1 * -1 * -1 + 5 * -1 * -1 - 2

7 * -1 + 5 * 1 - 2

-7 + 5 - 2

-2 - 2 = - 4

The number of rows in the arena is 26

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

The number of rows (i.e. the number of terms) is calculated using:

[tex]S_n = \frac{n}{2}(2a + (n -1) * d)[/tex]

So,we have:

[tex]10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)[/tex]

Evaluate the terms and factors

[tex]21840 = n(440 + 16n -16)[/tex]

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

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The square root function is the quadratic function reflected across.

We have given that,

a quadratic parent function and a square root parent function

A. The square root function is the quadratic function reflected across

the y-axis.

B. The square root function is the quadratic function reflected across

the line y = x, with a limited domain.

C. The square root function is the quadratic function reflected across

the x-axis.

We have to determine the correct option.

A parent function is the simplest function of a family of functions that preserves the definition of the entire family.

The correct option is,

B. The square root function is the quadratic function reflected across.

the line y = x, with a limited domain.

graph y=x^2 and y=√x and y=x

graph is attached

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Answer:

l think the answer is 024 inches because it has to division

Step-by-step explanation:

just divide both sides by 3.14 yes

The radius of the circle is 12 inches.

Radius is the distance from the center of the circle to any point on its circumference, which means the line segment that connects the center of a circle to any point on its circumference is called the radius.

Given that the circumference of a circle is 75 inches we need to find the radius,

So,

C = π × diameter

75 = 3.14 × d

d = 23.88

∵ d = 2r

∴ r = 23.88/2

r = 11.94

r ≈ 12

Hence the radius of the circle is 12 inches.

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Answer:

a) x value is -2, min is -3(if thats y)

b) x value is 3, max is 21(if thats y)

Step-by-step explanation:

yes you do quadratic formula and such :)

Answer:

A) 1.2

Step-by-step explanation:

R can never be greater than 1

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The shape of the barrier is a a circle with a diameter of 5 feet.

A circle is a bounded figure which points from its center to its circumference is equidistant. The diameter of a circle is a straight line that passes through the center of the circle and touches two points on the circumference of the circle.

If all points from the flower is 2.5 feet, it means that the barrier has the shape of a circle.

Diameter = radius x 2

2.5 x 2 = 5 feet

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The statement that describes why the Bar Graph is not properly drawn is  D. The width of the bar representing Regular Ice Cream is more than the width of the other bars.

A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths that are proportional to the values that they represent.

Here, the width of the bar representing Regular Ice Cream is more than the width of the other bars.

A bar graph plots data using rectangular bars or columns that represent the total amount of observations in the data for that category.

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Answer:

Rounding to nearest tenth, the answer is 0.3.

Step-by-step explanation:

[tex]\sf 7e^{6x}=42\\\frac{7e^{6x}}{7}=\frac{42}{7}\\e^{6x}=6\\[/tex]

[tex]\sf 6x = \ln(6)\\\\isolate~"x"~and~re-arrange\\\\x=\frac{\ln(6)}{6}[/tex]

≈ [tex]0.3[/tex]

The equation of the parabola with its focus at (–7,6) and its directrix at y = 4 will be (x + 7)² + 5.

By drawing the graph, it's can be depicted that the equation in this scenario is x² + 14x + 54.

Complete the square on the expression. This will be done by adding 49. This will be:

= x² + 14x + 7² + 54 - 49

= (x + 7)² + 5

Therefore, the equation of the parabola with its focus at (–7,6) and its directrix at y = 4 will be (x + 7)² + 5.

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Answer:

.467

Step-by-step explanation:

467 thousandths are moving the decimal to the front and putting the numbers to the right, so it would be 0.467.

Answer:

Negative one over 6

Step-by-step explanation:

you must download mathspapa

and write that number to solve it

Answer:

The first one

Step-by-step explanation:

Answer:

a: 20

b : 15

Step-by-step explanation:

3*5 = 15

2*5 = 10

15-10 = 5

15+5 = 20

10+5 = 15

Answer:

Let:

[tex] \: [/tex]

5 years ago,

[tex] \: [/tex]

According to the question,

[tex] \quad [/tex][tex] \quad [/tex][tex] \quad [/tex][tex]{ \large{ \rm{ \frac{x}{x - 5} = \frac{3}{2} }}} [/tex]

[tex]{ \green{ \implies}}{ \sf{2x = 3(x - 5)}}[/tex]

[tex]{ \green{ \implies}}{ \sf{2x = 3x - 15}} [/tex]

[tex]{ \green{ \implies}}{ \sf{3x - 2x = 15}} [/tex]

[tex]{ \green{ \implies}}{ \sf{x = { \boxed{ \pink{15}}}}} [/tex]

[tex] \: [/tex]

Therefore,

Present age of B (x) = 15 years.

Present age of A (x + 5) = 20 years.

An inequality that will have dashed boundary line will be separated by a less than < or greater than > sign. From the option given, the correct inequality is x + 7y > 3

Inequalities are expression not separated by an equal sign. According to the question, we ned the inequality's graph that will have a dashed boundary line.

An inequality that will have dashed boundary line will be separated by a less than < or greater than > sign.

From the option given, the correct inequality is x + 7y > 3

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The operation that is being used to complete the sequence is an addition, in which each number is added + 2.

A sequence is a mathematical term that refers to the succession of numbers or other mathematical objects related to each other, which is characterized by taking into account the relative position of each number with respect to the previous one.

According to the above, it can be inferred that from the following sequence:

The operation that is defining the sequence is:

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Answer:The operation that is being used to complete the sequence is an addition, in which each number is added + 2.

What is a sequence?

A sequence is a mathematical term that refers to the succession of numbers or other mathematical objects related to each other, which is characterized by taking into account the relative position of each number with respect to the previous one.

According to the above, it can be inferred that from the following sequence:

2, 4, 6, ...

The operation that is defining the sequence is:

x + 2

0 + 2 = 2

2 + 2 = 4

4 + 2 = 6

Step-by-step explanation:

Given that

[tex]\displaystyle \lim_{x\to0} f(x) = 4[/tex]

we can use the properties of limits to show

[tex]\displaystyle \lim_{x\to0} \frac14 f(x)^4 = \frac14 \lim_{x\to0} f(x)^4 = \frac14 \left(\lim_{x\to0} f(x)\right)^4 = \frac14 \times 4^4 = 4^3 = \boxed{64}[/tex]

Let's see

[tex]\\ \rm\Rrightarrow \lim_{x\to 0}\dfrac{1}{4}f(x)^4[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{4}\lim_{x\to 0}f(x)^4[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{4}\times 4^4[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{256}{4}[/tex]

[tex]\\ \rm\Rrightarrow 64[/tex]

The equation of the exponential model is f(x) = 3 * 0.2^x

The table of data is given as:

x(-2,-1,0,1,2)

f(x)(71,13,3,0.6,0.1)

An exponential model is represented as:

f(x) = ab^x

When x= 0 and f(x) = 3;

We have:

ab^0 = 3

This gives

a = 3

When x= 1 and f(x) = 0.6

We have:

ab^1 = 0.6

This gives

ab = 0.6

Substitute 3 for a

3b = 0.6

Divide both sides by 3

b = 0.2

Substitute b = 0.2 and a =3 in f(x) = ab^x

f(x) = 3 * 0.2^x

Hence, the equation of the exponential model is f(x) = 3 * 0.2^x

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