5) The weights of the mangoes from a certain orchard follows a normal distribution. A quarter of the mangoes weigh less than 70g, and one third weigh more than 120g. Find the mean weight and standard deviation of the mangoes produced by this orchard.
6) The probability that a brand A shoe which is spoilt within the span of 6 months of usage is 0.2. By using a normal approximation, find the probability that there are 75 to 100 pairs of shoes from 500 randomly chosen pairs which are spoilt within the span of 6 months

Answer: W gives the weight of a puppy, in pounds, as a

function of its age, t, in months.

Step-by-step explanation:

Answer:

It A w(2)=5

Step-by-step explanation:

You see

Answer:

Tesla because it has no gas

To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.

The formula is: A = (P * r) / (1 - (1 + r)^(-n))

Where: A is the annual payment,

P is the loan principal ($25,000 in this case),

r is the annual interest rate in decimal form (0.035),

n is the number of years (5 in this case).

Substituting the given values into the formula, we have:

A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))

Simplifying the equation, we can calculate the annual payment:

A = 6,208.61

Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.

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Answer:

5

Step-by-step explanation:

a^2 + b^2 = c^2

12^2 + b^2 = 13^2

144 + b^2 = 169

169 - 144 = 25

sqrt of 25 = 5

Answer:

The measure of ∠CAD is 69°

Step-by-step explanation:

In ΔABC

∵ D is the mid-point of AB

∵ E is the mid-point of BC

∴ DE is parallel to AC

→ From parallelism

∵ DE // AC

∴ m∠EDB = m∠CAD → corresponding angles

∵ m∠EDB = 83 - 7x

∵ m∠CAD = 7x + 55

→ Equate them

∴ 7x + 55 = 83 - 7x

→ Add 7x to both sides

∵ 7x + 7x + 55 = 83 - 7x + 7x

∴ 14x + 55 = 83

→ Subtract 55 from both sides

∵ 14x + 55 - 55 = 83 - 55

∴ 14x = 28

→ Divide both sides by 14

∴ x = 2

→ To find m∠CAD, substitute x by 2 in its measure

∵ m∠CAD = 7(2) + 55

∴ m∠CAD = 14 + 55

∴ m∠CAD = 69°

∴ The measure of ∠CAD is 69°

He can make 2 meat balls from the remaining turkey.

Total pounds of ground turkey available = 3 pounds.

Turkey used to make 6 meat ball = 3 / 8 of 3 pounds = 9 / 8 pounds

Turkey used to make 1 meat ball = 9 / 8 ÷ 6 = 3 / 16

1 / 8 meat = 1/ 8 of 3 = 3 / 8 pound of meat.

Number of meatballs made = 3 / 8 × 16 / 3 = 2

Therefore, he can make 2 meat balls from the remaining turkey.

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Answer:

what the question and i may be able to help you

Step-by-step explanation:

Duela Dent's income taxes can be calculated using the given tax rates and her taxable income of $189,000. Her average tax rate and marginal tax rate can also be determined.

To calculate Duela Dent's income taxes, we need to determine the tax amount for each tax bracket that her taxable income falls into.

The taxable income of $189,000 falls into the following tax brackets:

$0-$9,950: Not applicable

$9,950-$40,525: ($40,525 - $9,950) * 12% = $3,546

$40,525-$86,375: ($86,375 - $40,525) * 22% = $9,992

$86,375-$164,925: ($164,925 - $86,375) * 24% = $19,110

$164,925-$209,425: ($189,000 - $164,925) * 32% = $7,744

$209,425-$523,600: Not applicable

$525,600 and above: Not applicable

Summing up the tax amounts for each bracket, Duela Dent's income taxes amount to $40,392.

The average tax rate is calculated by dividing the total tax amount ($40,392) by the taxable income ($189,000) and multiplying by 100:

Average Tax Rate = ($40,392 / $189,000) * 100 ≈ 21.37%

The marginal tax rate refers to the tax rate applied to an additional dollar of income. In this case, Duela Dent's marginal tax rate is 32%, which corresponds to the tax rate of the last bracket her taxable income falls into.

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Therefore , the solution of the given problem of surface area comes out to be hollow cylinder area is 25.9 m².

Its surface area serves as a reliable measure of its overall size. When figuring out the squared of a right triangle, the environment is taken into account. The surface area of everything determines its overall size. The total of the volumes on each of a cuboid's six horizontal sides determines how much water is inside of it. Utilize the following formula to get the box's dimensions: The region is the same as 2lh, 2lw, or 2hW. (SA). The area is represented by the flexible shape's entire area.

Here,

Given :

Radius = 3/2 = 1.5 meters

and

height = 2 meters

To find the surface area ,

=> S.A = 2πrh + πr²

=> πr(2h + r)

=> (4 + 1.5)(3.14 * 1.5)

=>(5.5)(4.71)

=>  25.905 m²

=> 25.9 m²

Thus , surface area is 25.9 m².

Therefore , the solution of the given problem of surface area comes out to be hollow cylinder area is 25.9 m².

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The complete question is "Calculate the surface area of a hollow cylinder which is closed at one end. If the base diameter is 3 meters and height 2 meters round to the nearest hundredth "

Answer: 72m

Step-by-step explanation:

Answer:

  (a)  No, because for each input there is not exactly one output.

Step-by-step explanation:

You want to know if the relation shown in the graph is a function.

A relation is a function if its graph passes the vertical line test. That is, a vertical line cannot intercept the graph of the relation at more than one point.

The points (-1, -2) and (-1, 3) will both be intercepted by the vertical line x = -1. This tells us the relation is not a function, because it has two outputs for that input.

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\( \frac{MN}{NP} = \frac{4}{5} \\ \)

\(MP = 26 - 8\)

\(MP = 18\)

\(MP \div (4 + 5) = 18 \div (4 + 5)\)

\( \frac{MP}{9} = \frac{18}{9} \\ \)

\( \frac{MP}{9} = 2 \\ \)

Thus;

\(MN = 2 \times 4\)

\(MN = 8\)

and

\(NP = 2 \times 5\)

\(NP = 10\)

So the location of N is :

\(N = 8 + 8 \: \: or \: \: N = 26 - 10\)

\(N = 16\)

The average conclusion is that since they are monkeys, all wookies are good chess players.

Two premises form the basis for the conclusion. All monkeys are skilled chess players, according to the first postulate. The idea that all Wookies are monkeys is the second premise. The first assumption indicates that all monkeys are brilliant chess players, and since the second premise states that all wookies are monkeys, it follows that all wookies must likewise be good chess players. The conclusion is that since they are monkeys, all wookies are good chess players. This conclusion comes logically from the two supplied premises. The conclusion is also presumptively true because the premises are believed to be true.

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Answer:

-24

Step-by-step explanation:

g(-2) = 2(-2)

g(-2) = -4

h(4) = 4² + 4

h(4) = 16 + 4

h(4) = 20

g(-2) - h(4)

-4 - 20

= -24

Answer:

Step-by-step explanation:

g(x) = 2x

To find g( -2) substitute - 2 into g(x)

That's

g( -2) = 2(-2) = - 4

h(x) = x² + 4

To find h(4) substitute 4 into h(x)

That's

h(4) = (4)² + 4 = 16 + 4 = 20

So

g(-2) - h(4) is

- 4 - 20

= - 24

Hope this helps you

Answer:

(x+6) (x+6)

Step-by-step explanation:

x^2 + 12x+36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

Answer:

\((x + 6)(x + 6)\)

Step-by-step explanation:

\(36 + 12x + {x}^{2} \\ {x}^{2} + 12x + 36 \\ {x}^{2} + 6x + 6x + 36 \\ x(x + 6) + 6(x + 6) \\ = (x + 6)(x + 6)\)

hope this helps

brainliest appreciated

good luck! have a nice day!

If the diameter of the circle is 18 feet, the circumference of the circle is 56.55 feet.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.

The diameter of a circle is 18 feet.

D = 18 feet

Now, the radius of the circle is half the diameter of the circle.

Therefore,

Diameter = 2 × Radius

Radius = Diameter / 2

D = 2r

r = D / 2

r = 18 feet / 2

r = 9 feet

Now, the circumference of a circle is given as:

Circumference = π × diameter

Circumference = π × 2r

Circumference = 2πr

Circumference = 2 × π × 9 feet

Circumference = 2 × 3.14159 × 9

Circumference = 56.55 feet

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Answer:

⁰00000000⁰. woeidj.edj

Answer:

2

Step-by-step explanation:

| x | = 2

| x | is absolute value of x, which may be +ve, or, -ve as well.

x can be 2, or - 2.

But here, we are given with x > 0. It means x is greater than 0, it cannot be -ve.

So, x = + 2 = 2

The volume of each sphere is given as follows:

A. Diameter of 4 cm: 32π/3 cm³.

B. Radius of 6 cm: 288π cm³.

C. Diameter of 8 cm: 256π/3 cm³.

D. Diameter of 6 cm: 36π cm³.

The volume of a sphere of radius r is given by the equation presented as follows:

V = 4πr³/3.

The radius is half the diameter, hence the volumes are given as follows:

A. Diameter of 4 cm -> radius = 2 cm -> 4π x 2³/3 = 32π/3 cm³.

B. Radius of 6 cm: -> 4π x 6³/3 = 288π cm³.

C. Diameter of 8 cm -> radius = 4 cm -> 4π x 4³/3 = 256π/3 cm³.

D. Diameter of 6 cm -> radius = 3 cm -> 4π x 3³/3 = 36π cm³.

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Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer  is option  (a).

A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.

The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.

a) They enable academics to investigate a theory's construct validity.

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Step-by-step explanation:

with 2 cubes we have 12 faces to paint.

each face has 2 options (black or white).

so, we have a total of 2¹² possible outcomes.

a probability is always the ratio of

desired cases / totally possible cases

so, we need to find a way to express the desired cases of both cubes being painted the same way.

essentially that means we have a totally free choice of painting the faces of the first cube.

that is 2⁶ possible outcomes.

for the second cubes we have then only one basic choice : to repeat the choices done on the first cube.

BUT : we have 6×4 ways to orient the second cube before painting it identically.

6 ways to pick e.g. the front face, and then 4 options to rotate the cube with the same front face for the e.g. top face.

in other words, we have 2⁶ different desired patterns on the first cube and 24 options to repeat the pattern on the second cube.

that means the desired options are 2⁶×1×24

so, the probability for them to be identical is

24×2⁶ / 2¹² = 24/2⁶ = 3/2³ = 3/8 = 0.375

The probability that after they are painted, the cubes can be rotated to be identical in appearance is (a) 64/9

Probability is a branch of mathematics that deals with the study of random phenomena or events with uncertain outcomes.

Let's start by assuming that one of the cubes has the black face facing up. The other cube can be painted in any of the possible ways.

Let's list all the possible configurations for the second cube.

There are six faces, and each can be painted either black or white. Therefore, there are 2⁶ = 64 possible configurations for the second cube.

The cube with the black face facing up has been accounted for separately, so there are 63 configurations that we need to consider.

If the second cube is painted all black or all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the black or white face is facing up.

There are two such configurations. If the second cube has exactly one white face and five black faces, there are three ways to position it so that the cubes look identical. There are three such configurations

.If the second cube has two white faces and four black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.

If the second cube has three white faces and three black faces, there are eight ways to position it so that the cubes look identical. There are eight such configurations.

If the second cube has four white faces and two black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.

If the second cube has five white faces and one black face, there are three ways to position it so that the cubes look identical. There are three such configurations

.If the second cube is painted all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the white face is facing up. There are two such configurations.

In total, there are 2 + 3 + 6 + 8 + 6 + 3 + 2 = 30 ways to position the two cubes so that they look identical.

There are 63 × 64 possible configurations for the two cubes, so the probability of the cubes being able to be rotated to be identical in appearance is given by:

30/ (63×64) = 64/9

Therefore, the correct answer is (a) 64/9.

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Answer:

1= 4/7 of the fruit are apples 2 = the ratio of apples to oranges is 4 to 3 3= the ratio of oranges to apples 3 to 4

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

    |     /|

    |    / |

    |   /  |

    |  /   |

    | /    |

    |/     |

_____|______|______

    |

    |

    |

    |

    |

    |

a. Mortgage payments: Numerical (continuous) data. This represents the amount of money paid towards a mortgage and can take on any value within a range.

b. Number of credit cards: Numerical (discrete) data. This represents a count of the number of credit cards and can only take on whole number values.

c. Ever convicted of a felony: Categorical (nominal) data. This represents a binary response indicating whether the individual has ever been convicted of a felony or not.

d. Current debt: Numerical (continuous) data. This represents the amount of debt owed and can take on any value within a range.

- Numerical (continuous) data refers to data that can be measured on a continuous scale, such as amounts or quantities that can take on any value within a range.

- Numerical (discrete) data refers to data that can only take on specific whole number values, such as counts or integers.

- Categorical (nominal) data refers to data that represents categories or labels without any inherent order or numerical value, such as yes/no responses or different groups.

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Using inequalities we know that x=68 and x=66 respectively.

A mathematical phrase in which the sides are not equal is referred to as being unequal.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

So, solve the inequalities as follows:

x+3>70

x>70-3

x>67

Then, it will be x = 68.

Then,

x+3<70

x<70-3

x<67

Then, it will be s = 66.

Therefore, using inequalities we know that x=68 and x=66 respectively.

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Answer:

24°

Step-by-step explanation:

A triangle will always equal 180°. In the triangle, you can see that two angles are already measures.

Angle A = 66°

Angle B = 90° (Right angle)

Angle C = ?

You have all the info you need.

66+90 = 156

If a triangle is equal to 180°, comply subtract 156 from 180. This gives you the answer 24, and that's the measure of angle C.

Hope this helped! I just did this question on my Acellus and got it right. :)

Answer:

The solution of the system of equation is (3,8)

Step-by-step explanation:

We are given that

\(y=x+5\)...(1)

\(y=2x+2\)...(2)

We have to graph the system of linear equation.

For equation (1)

Substitute x=0

\(y=5\)

Substitute y=0

\(x=-5\)

Therefore, we obtained two points  (0,5) and (-5,0) for equation (1).

For equation (2)

Substitute x=0

\(y=2\)

Substitute y=0

\(2x=-2\)

\(x=-1\)

Therefore, we obtained two points  (0,2) and (-1,0) for equation (2).

Now, we find intersection point of two equation

Substract equation (2) from (1)

\(x=3\)

\(x=3\)

Substitute x=3 in equation (1)

\(y=3+5=8\)

The intersection point of two equation is at (3,8).

Hence, the solution of given system of equation is (3,8).

Answer:

(-4,-6)

Step-by-step explanation:

The intersection point is (-4,-6) when you both equations in the calculator. The person who answered this first is wrong.

The angles in degrees are 240° and 300°, and the angles in radians are (4π/3) and (5π/3).

Given sec(θ) = -2 and the reference angle of θ is 60°, we can determine the quadrant of θ by considering the sign of sec(θ). Since sec(θ) is negative, θ lies in either the second or the fourth quadrant. The reference angle of 60° falls within the second quadrant.

To find the angle in degrees, we subtract the reference angle from 180° to get 180° - 60° = 120°. Since sec(θ) = -2, the cosine of θ must be -1/2. The angles that satisfy this condition are 240° and 300° (adding 120° to the reference angle). These angles fall within the second and fourth quadrants, respectively.

To convert the angles to radians, we use the conversion factor π/180. Therefore, the angles in radians are (240° × π/180) = (4π/3) and (300° × π/180) = (5π/3), respectively.

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The statement "To determine chilling hours for an area, count the cumulative number of hours between November 1st and February 15th that the air temperature is between 32 and 45 degrees F" is true.

In horticulture, chilling hours are the number of hours in which the air temperature is between 32 and 45 degrees Fahrenheit and are commonly used in fruit crop production to determine the required winter rest period. It is calculated between November 1st and February 15th since these months are considered the winter season and are known for their cool temperatures.

Chilling hours are an essential factor in determining the growth, development, and yield of fruit trees, which require a particular amount of chilling hours to flower and bear fruit.

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Answer:

well it's technically 23.66, but I guess you can round it up to 24