in a class of 60 students,60%are girls , find the number of girls​

Answer:43

Step-by-step explanation:

YOUR WECOME!!!!!

If that isnt the answer because i evaluated, try t=43/h :)

Therefore, the probability that 0 < X < 1 is approximately 0.3413, or 34.13%.

If a random variable X is distributed normally with zero mean and unit standard deviation (X ~ N(0, 1)), the probability that 0 < X < 1 can be calculated using the standard normal distribution table or a statistical software.

In this case, we need to find the area under the normal curve between 0 and 1 standard deviations from the mean. Since the standard deviation is 1, we are interested in finding the probability that the value of X falls between 0 and 1.

Using the standard normal distribution table, we can look up the cumulative probability associated with 1 standard deviation from the mean, which is approximately 0.8413. Similarly, we can look up the cumulative probability associated with 0 standard deviations from the mean, which is 0.5.

To find the probability that 0 < X < 1, we subtract the probability associated with 0 from the probability associated with 1:

P(0 < X < 1) = P(X < 1) - P(X < 0) = 0.8413 - 0.5 = 0.3413

Therefore, the probability that 0 < X < 1 is approximately 0.3413, or 34.13%.

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Answer:

24 pieces

Step-by-step explanation:

6 ÷ 1/4

The part of the box plot that includes about 50% of the data is given as follows:

D. The box, from 34 to 54.

A box and whisker plots shows these five metrics from a data-set, listed and explained as follows:

The middle 50% of the data-set is represented by the interquartile range, which is given by the box, between 34 and 54, while the extremes of 32 and 60 are the minimum and maximum values, respectively.

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Answer:

I say Answer Is D Is for a option The box from 34 to 54 I Hope this helps!

Step-by-step explanation:

Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

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the probability that a student from these universities gets a placement is 0.45 or 45%.

To find the probability that a student from these universities gets a placement, we need to calculate the weighted average of the placement probabilities based on the admission probabilities.

Let's denote the admission probabilities as P(A1), P(A2), and P(A3) for universities 1, 2, and 3, respectively. Similarly, let's denote the placement probabilities as P(P1), P(P2), and P(P3) for universities 1, 2, and 3, respectively.

The probability of a student getting placement can be calculated as:

P(Placement) = P(A1) * P(P1) + P(A2) * P(P2) + P(A3) * P(P3)

Given that P(A1) = 0.20, P(A2) = 0.30, P(A3) = 0.40, P(P1) = 0.3, P(P2) = 0.5, and P(P3) = 0.6, we can substitute these values into the equation:

P(Placement) = (0.20 * 0.3) + (0.30 * 0.5) + (0.40 * 0.6)

P(Placement) = 0.06 + 0.15 + 0.24

P(Placement) = 0.45

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1 The decision rule for a two-tailed test at a 0.01 significance level is:

H0 is reject if z < -2.58 or z > 2.58

2 The pooled proportion is calculated as: p = 0.0846

3 The value of the test statistic (z-score) is calculated as: z = -2.424

4 There is not enough evidence to conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.

2 The pooled proportion is calculated as:

p = (x1 + x2) / (n1 + n2)

p = (26 + 40) / (430 + 350)

p = 66 / 780

p = 0.0846

3 The value of the test statistic (z-score) is calculated as:

z = (p1 - p2) / ✓(p * (1 - p) * (1/n1 + 1/n2))

z = (26/430 - 40/350) / ✓(0.0846 * (1 - 0.0846) * (1/430 + 1/350))

z = -2.424

4 At the 0.01 significance level, the critical values for a two-tailed test are -2.58 and 2.58. Since the calculated z-score of -2.424 does not exceed the critical value of -2.58, we fail to reject the null hypothesis.

There is not enough evidence to conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.

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Answer:

\(\pi\) is infinite. 3.14 only has three numbers.

Step-by-step explanation:

so \(\pi\) multiplied by any number (except 0) will have infinite numbers

Answer:

See below ↓

Step-by-step explanation:

When multiplying a number by 3.14, which is the simplified version of pi, it will give a constant term. But, when multiplying by π, the actual value is equal to 22/7, and it is a non-terminating decimal. Therefore, when you multiply any number with 3.14, it will be slightly lesser than when you multiply with π.

The sοlutiοn tο the  radical equatiοn is x = 5.

In mathematics, a radical is the οppοsite οf an expοnent, which is symbοlised by the symbοl "," alsο referred tο as rοοt. A square rοοt οr a cube rοοt can be used, and the number befοre the symbοl οr radical is regarded as an index number οr degree. The expοnent οf this number cancels the radical and is a whοle number.

The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Starting with:

-5√(2x - 1) = -15

Divide bοth sides by -5:

√(2x - 1) = 3

Square bοth sides:

2x - 1 = 9

Add 1 tο bοth sides:

2x = 10

Divide bοth sides by 2:

x = 5

Hence, the solution to the equation is x = 5.

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The type of sampling used in each scenario is as follows:

Stratified sampling, Convenience sampling, Cluster sampling, Random sampling, Convenience sampling, Cluster sampling, Systematic sampling

The psychologist selects a specific number of boys and girls from each math class, which indicates stratified sampling. The population (students) is divided into strata (math classes) and samples are taken from each stratum.

The conclusion is based on responses from questionnaires that were distributed conveniently to students, indicating convenience sampling. The sample is not randomly selected but consists of those who chose to respond.

The biologist surveys all students from randomly selected classes, indicating cluster sampling. The population (students) is divided into clusters (classes), and all members of the selected clusters are included in the sample.

The game show organizer shuffles and randomly selects contestant names, indicating random sampling. Each name has an equal chance of being selected.

Family planning polls a specific number of men and women, suggesting convenience sampling. The individuals surveyed are conveniently selected and may not represent the entire population.

The hospital researcher interviews all diabetic patients in randomly selected hospitals, indicating cluster sampling. The population (diabetic patients) is divided into clusters (hospitals), and all members of the selected clusters are included in the sample.

Smart selects every 100th cell phone from the assembly line, indicating systematic sampling. A sampling interval is used to select samples at regular intervals, ensuring a systematic and consistent approach.

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       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Graph option B is the correct answer.

Graphical representation refers to the use of charts and graphs to visually display, analyse, clarify, and interpret numerical data, functions, and other qualitative structures.

Given are function,

y = x+1 ≤0 and y = 3x

The best demonstration of these functions can be seen in graph 2.

Hence, Graph option B is the correct answer.

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Answer:

2+2=4

Step-by-step explanation:

You have to 2 circles and another 2 circles how many circles you got?

You got 4 circles in total.

Answer:

2+2 is not 22 its 4

Step-by-step explanation:

The results most probably be invalid because the subjects were voluntary sample.

What is sample in statistics?

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The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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Answer:

16

Step-by-step explanation:

5x+1/2y^2

5(3)+1/2(2)^2

15+1^2

15+1=16

(-4,0)

-4 is in the y axis and 0 is in the x axis

Answer:

part A: x= 1 and x= 3/2

part B: minimum at (5/4, f(5/4))

Step-by-step explanation:

part A: factoring

0 = 2x^2 - 5x + 3

= (2x^2 - 2x)(-3x + 3)

= 2x(x - 1) -3(x-1)

= (2x - 3)(x - 1)

x= 1 and x= 3/2

part B: candidates test

find the derivative of the function.

f(x) = 2x^2 - 5x + 3

f'(x) = 4x -5

solve for critical numbers.

0 = 4x - 5

x = 5/4

candidates test by plugging in numbers into the derivative to see if that area is negative or pos.

f has a minimum at x = 5/4 because f' goes from neg to pos there. to find the coordinate for x = 5/4 just plug it into the original function to find f(5/4).

Part C: to draw the graph, I'd just plot the vertex coordinate that you solved for in part B, then I would plot the x intercepts that you solved for in part a, from there just draw a line throu the 3 points. (it should look like a U shape)

Answer:

2

Step-by-step explanation:

\(\text{First I'd recommend using this little equation:}\\\text{m}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the values::}\\\text{m}=\dfrac{5-1}{3-1} \\\text{m}=\dfrac{4}{3}\)

\(\rule{300}{1.7}\)

\(\text{The gradient is:: }\dfrac{4}{3}\)

Answer:

D. 9h

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cuboid Formula: V = a²h

Step-by-step explanation:

Step 1: Define

Identify variables

a = 3

h = h

Step 2: Find Volume

Answer:

D. 9h

Step-by-step explanation:

Volume of a cube = Length × Width× Height

= 3×3×h

= 9h

\(\begin{cases} f(x)=3-3x\\ g(x)=x^2 \end{cases}\qquad \qquad \begin{array}{llll} f(~~g(x)~~)=3-3[g(x)]\\\\ f(~~g(x)~~)=3-3[x^2] \end{array} \\\\\\ f(~~g(x)~~)=3-3x^2\implies f(~~g(x)~~)=3(1-x^2)\)

Answer:

5 pounds Banana , and five pound apples

the price of banana=0.8*5=4 dollars

the price of apples = 1.4*5=7 dollars

4+7=11 dollars

no Janice's mother did not give her enough money, she still needs one dollar.

( short one dollar)

ANSWER

N = 11

EXPLANATION

Given:

3N + 5 = 38

Desired Outcome:

Value of N

Solve for N

Hence, the value of N is 11.

Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

    |     /|

    |    / |

    |   /  |

    |  /   |

    | /    |

    |/     |

_____|______|______

    |

    |

    |

    |

    |

    |

Answer:

13 adults; 6 children

Step-by-step explanation:

Let a = number of adults.

Let c = number of children

a + c = 19;

9a + 5.5c = 150

Let's use substitution. Solve the first equation for a.

a = 19 - c

Now substitute 19 - c for a in the second equation and solve for c.

9(19 - c) + 5.5c = 150

171 - 9c + 5.5c = 150

-3.5c = -21

c = 6

Now substitute 6 for c in a = 19 - c and solve for a.

a = 19 - c

a = 13

Answer: 13 adults; 6 children

Let's translate the argument into symbolic form using the following symbols:

B: Brazil has a huge foreign debt.

A: Argentina has a huge foreign debt.

The argument can be represented as follows:

B → (B ∨ A)

To determine the validity of the argument, we can construct a truth table for the expression (B → (B ∨ A)). The truth table will include all possible combinations of truth values for B and A, and we will evaluate the truth value of the entire expression for each combination.

The truth table for the argument is as follows:

B A B ∨ A B → (B ∨ A)

T T T T

T F T T

F T T T

F F F T

As we can see from the truth table, regardless of the truth values of B and A, the expression B → (B ∨ A) always evaluates to true. Therefore, the argument is valid because the conclusion is always true when the premise is true.

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The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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The triangle's surface area is 630 cm²

What is the Pythagorean theorem in plain English?

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides.

Given that

hypotenuse is 53 cm

base is 28 cm

and it is a right angle triangle

Area = 1/2 x Base x height

So by using Pythagorean theorem we can find its height

Height² + Base² = Hypotenuse²

Height² + 784 = 2809

Height² = 2024

Height = 45 cm

Area = 1/2 x 28 x 45

Area = 630 cm²

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