how many gallons of paint are needed to paint one coat, if a gallon of paint covers 400ft squared?

Answer: 1 .9 kilograms

Step-by-step explanation:

9.5/5=1.9

since the apples account for 4 parts, we multiply 4 times the value of 1 of the 5 parts

4x1.9=7.6

Now we subtract from the original weight of everything.

9.5-7.6=1.9

Final answer:

To calculate the weight of pears sold, subtract the weight of apples (three-fifths of the total) from the total weight of 9.2 kg, resulting in 3.68 kg of pears sold at the market.

Explanation:

The farmer sells 9.2 kilograms of apples and pears in total. To find out the weight of the pears sold, we need to first calculate the weight of the apples, which is three-fifths (3/5) of the total weight, and subtract that from the total weight.

First, calculate the weight of apples:

Then, to find the weight of the pears sold, subtract the weight of the apples from the total weight:

Therefore, the farmer sold 3.68 kilograms of pears at the farmer's market.

Answer:

80% probability of not choosing a multiple of five

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

In this problem, we have that:

There are 40 numbers between 1 and 40.

Multiples of 5 are: 5,10,15,20,25,30,35,40

So there are 8 numbers that are multiple of 4 and 40-32 = 8 which are not multiples of five.

So

32/40 = 0.8

80% probability of not choosing a multiple of five

Answer: the probability of not choosing a multiple of five is 0.8

Step-by-step explanation:

Probability is expressed as the ratio of the number of favorable outcomes to the total number of outcomes.

In this scenario, the total number of outcomes is 40. The multiple of 5 between 1 to 40 are 5, 10, 15, 20, 25, 30, 35, 40. The total numbers that are multiples of 5 is 8. The total numbers that are not multiples of 5 is 40 - 8 = 32

Therefore, the number of favorable outcomes is 32

Probability = 32/40 = 0.8

Answer: your age

Step-by-step explanation:

An item which is not a factor that affects a person's automobile insurance premiums is: c. the color of your car.

An insurance company is a business firm that is establish to collect premium from all of the insured for losses which may or may not occur, so they can easily use this cash to compensate or indemnify for losses incurred by those having high risk.

here, we have,

Generally, some examples of the factors that typically determines and affects a person's automobile insurance premiums include the following;

Driving record.

Duration of car usage.

Owner's age

Location

Gender

Where owner lives.

Credit score

Year, make, and model of car.

Overall value of the car.

In conclusion, we can infer and logically deduce that the color of a car is not a factor that affects a person's automobile insurance premiums.

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Complete Question:

Which of the following is not a factor that affects your auto insurance premiums?

a year, make, and model of your car

b. where you live

c. the color of your car

d. overall value of your car

Answer:

  x = 16

Step-by-step explanation:

We assume that ray BF lies between BA and BC, so that ...

  ∠ABF +∠FBC = ∠ABC

  (7x +20) +(2x -5) = 159

  9x +15 = 159 . . . .collect terms

  9x = 144 . . . . . . . subtract 15

  x = 16 . . . . . . . . . .divide by 9

Answer:

20,880 x 2/5

= (20,880 x 2)/5

= (41,760)/5

= 8,352

Answer:

14.29% probability that Marlon's friend will think of the number 9

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are 7 numbers from 5 to 11(5,6,7,8,9,10,11)

9 is one of them

So

[tex]p = \frac{1}{7} = 0.1429[/tex]

14.29% probability that Marlon's friend will think of the number 9

Answer:

The value of x is -1/2 .

Step-by-step explanation:

You have to use Logarithm Law,

[tex] {a}^{x} = y => log_{a}(y) = x[/tex]

So for this question :

[tex] log_{7}(7) = 2x + 2[/tex]

[tex]1 = 2x + 2[/tex]

[tex]2x = - 1[/tex]

[tex]x = - \frac{1}{2} [/tex]

:D XD :D XD :D XD :D XD :D XD XD XD

Answer:

Check the explanation

Step-by-step explanation:

1)  The null and alternative hypothesis is ,

[tex]H_0 : \mu = 0.35[/tex]

[tex]H_a : \mu \neq 0.35[/tex]

Test statistic = t =

= [tex](T - \mu ) / s / \sqrt n[/tex]

= [tex](0.30 - 0.35 ) / 0.03 / \sqrt 20[/tex]

Test statistic = t = - 7.45

2) Solution :

The null and alternative hypothesis is

[tex]H_0[/tex] : p = 0.60

[tex]H_a[/tex] : p > 0.60

[tex]\hat p[/tex] = x / n = 25 / 60 = 0.417

P0 = 0.60

1 - P0 = 1 - 0.60 = 0.40

Test statistic = z = 0.417

= [tex]\hat p - P0 / [\sqrtP0 * (1 - P0 ) / n][/tex]

= [tex]0.417 - 0.60/ [\sqrt(0.60 *(1 - 0.60) / 80 ][/tex]

Test statistic = z = -3.34

Answer:

240 ft^2

Step-by-step explanation:

area: (24+16)12/2=240 ft^2

(the area of a trapezoid is the sum of the bases multiplied by the height over 2.)

To find the measure of an unknown angle like angle D without a protractor, one must apply geometric or trigonometric principles based on the angle's context, such as its relation to other angles and its placement within shapes. The original question lacks specific details about angle D, making it impossible to provide a precise method for its calculation.

To find the measure of angle D without a protractor involves understanding the geometric or trigonometric principles applicable to the given situation. For instance, if angle D forms part of a straight line with another angle, the sum of both should be 180° due to the Linear Pair Postulate. In a triangle, knowing the measurements of two angles allows us to find the third, as the interior angles of a triangle always sum up to 180°. Additionally, if angle D is part of more complex figures like parallelograms, circles, or involves trigonometric functions, equations and properties specific to those shapes or functions can be used. For example, in trigonometry, the sine and cosine rules could help find unknown angles given certain side lengths or other angles.

Unfortunately, the original question does not provide enough context or specific details about angle D, such as its relation to other angles, its placement within geometric shapes, or any other condition that could determine its calculation method. Without this information, we cannot provide a step-by-step method to calculate angle D specifically.

a. As all the angles are 60° So, It is an equilateral triangle.

b. As all the angles are 30°, 60° and 90° So, It is an equilateral triangle.

Given:

Two figures are given with some given angle x and y

To find:

The measure of the unknown angles

Let the points are A B and C in this given figure

At point, A of the triangle exterior angle of the triangle is equal to the

       the interior angle which is equal to x  [by the vertically

        opposite angle]

        ∴ ∠BAC =  x

At point B of the triangle also exterior angle of the triangle is equal to the interior angle which is equal to x  [by the vertically opposite angle]

∴ ∠ABC =  x

At point C angle Y is equal to Angle X by the property of vertically  opposite angle

       ∴ ∠ACB = x

By the sum of angle of triangle property

       ∠ACB+∠ABC+∠BAC = 180°

                        x+x+x = 180°

                             3x = 180°

                                  x = 60°

As all the angles are 60° So, It is an equilateral triangle

In part b

2x +3x +x = 180 °     [angle of a straight line is 180°]

                  6x = 180 °

                  x  =  30°

By x=30 placing find all the angles

2x= 2 x 30 = 60°

3x= 3 x 30 = 90°

Answer:

b 24

Step-by-step explanation:

The measure of angle 3 is 24 degrees. The correct answer would be an option (B).

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Given that the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees

Here, the pairing of angles sums up to 90° then they are called complementary angles.

11x + 4x = 90

15x = 90

x = 90/15

Apply the division operation, and we get

x = 6

So, angle 3 is 4 × 6 = 24 degrees

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Answer:

x + y = 4,000

0.1x + 0.04y = 352

Step-by-step explanation:

Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought. 

Answer:

C. [tex]\left \{ {{x+y=4,000} \atop {0.1x+0.04y=352}} \right.[/tex]

Step-by-step explanation:

Edge 2020

Answer - 10 meters

10 meters

Explanation:

Using the ratios given, we have the three sides in terms of one side.

(x, x+5, 4x)

The perimeter is the sum of all of them:

65 = x+x+5+4x ; 65 = 6x+5

6x = 60 ; x = 10

x+5 = 15

4x = 40

Answer:

A. True

B. True

C. True

D. False

Step-by-step explanation:

Option D is the only clear option that is false.

The S distribution is a statistical tool used to check the homogeneity of two independent estimates when studying population variance.

When using an F distribution, The ratio of the degree of freedom of the numerator to the denominator can be >1, = 1 or < 1.

This implies that degrees of freedom for the denominator can be smaller than the degrees of freedom for the numerator.

This makes option D false and hence the correct answer

Final answer:

The F distribution in ANOVA tests has specific characteristics based on degrees of freedom, with critical values for hypothesis testing.

Explanation:

False statement: d. Degrees of freedom for the denominator cannot be smaller than the degrees of freedom for the numerator.

The F distribution is used in ANOVA tests, with the shape determined by the degrees of freedom for the numerator and denominator. Critical values for the F distribution correspond to different probabilities for hypothesis testing.

Answer:

acircle has infintely many axes of symmetry

Step-by-step explanation:

Answer:

infinite

Step-by-step explanation:

there are no corners what so ever and a circle is symetric, so no matter how many lines you put it will be correct

Answer:

1,031

Step-by-step explanation:

you divide 491,787 divided into 477, you get 1,031

491,787 divided into 477 would be 1031

Answer:

6/17

Step-by-step explanation:

Answer:

[tex]36+15+15+15+15[/tex]

Step-by-step explanation:

For the surface area we need to add up all the areas in the pyramid:

Area of the base:

the base is a square, and the area of a square is given by:

[tex]a_{base}=l^2[/tex]

where [tex]l[/tex] is the length of the side: [tex]l=6[/tex], thus:

[tex]a_{base}=(6)^2\\a_{base}=36[/tex]

Area of the triangles:

one triangle has the area given by the formula:

[tex]a_{triangle}=\frac{b*h}{2}[/tex]

where [tex]b[/tex] is the base of the triangle: [tex]b=6[/tex]

and [tex]h[/tex] is the height of the triangle: [tex]h=5[/tex], thus we have the following:

[tex]a_{triangle}=\frac{6*5}{2} \\\\a_{triangle}=\frac{30}{2} \\\\a_{triangle}=15[/tex]

the expression that represents the surface area of the pyramid is:

[tex]a_{base}+area_{triangle}+area_{triangle}+area_{triangle}+area_{triangle}[/tex]

substituting our values:

[tex]36+15+15+15+15[/tex]

which is option B

Answer:

Its Option C

Step-by-step explanation:

The value of sin 45 is  1/ √2

An angle is a combination of two rays (half-lines) with a common endpoint.

As per the diagram,

AC= 1 unit, BC= 1 unit

Applying Pythagoras theorem,

AB² = AC² + BC²

AB² = 1²+ 1²

AB² = 2

AB= √2

Now, sine is the ratio between the opposed side and the hypothenuse.

So, sin 45 = 1/ √2 = √2/√2

In radical form = 0.7071

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Final answer:

The sin of 45 degrees is √2/2. This value is found using the properties of an isosceles right triangle and applying the Pythagorean theorem.

Explanation:

In the case of a 45-degree angle in a right triangle, the sine function can be calculated using the properties of an isosceles right triangle. The sin of 45 degrees is equal to the ratio of the opposite side to the hypotenuse. In an isosceles right triangle where the two legs are equal, this ratio is the same for both legs.

By the Pythagorean theorem, we know that in an isosceles right triangle, if each leg is of length 1, the hypotenuse will be √2. Therefore, sin 45 degrees equals the length of the leg (1) divided by the length of the hypotenuse (√2), which simplifies to √2/2 or 1/√2. Expressing this in simplest radical form, we obtain √2/2.

This value is derived from understanding that the sum of the squares of the lengths of the legs equals the square of the hypotenuse, which gives us the equation 1² + 1² = c², where c is the hypotenuse. Simplifying gives us a hypotenuse of √2, and the sine of 45 degrees equals 1/√2, or √2/2 after rationalizing the denominator.

The competing hypotheses to determine whether the percentages of supporting votes are different between the two incumbent candidates are: a. H0: p1 ≤ p2, Ha: p1 > p2.

Null Hypothesis (H0): This represents the statement we want to test and assume to be true in the absence of evidence to the contrary. The null hypothesis (H0) states that there is no difference between the proportions of supporting votes for the incumbent candidates representing women's and men's sports programs.

Alternative Hypothesis (Ha): This represents the statement we want to disprove or find evidence for against the null hypothesis. The alternative hypothesis (Ha) states that the proportion of supporting votes is greater for the women's incumbent candidate than for the men's incumbent candidate.

Answer:

1. The sample chosen from each of the populations is sufficiently large.

Step-by-step explanation:

ANOVA is known as analysis of variance and it is a statistical process which is used to test the degree to which two or more groups vary or differ in an experiment.

The variances of all the sampled populations are usually equal. The sampled populations all have distributions that are approximately normal and the samples are chosen from each population in an independent manner.

The one that is not a condition required for a valid ANOVA F-test for a completely randomized experiment is A. The sample chosen from each of the populations is sufficiently large.

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Answer:

[tex]\cos'(z) = -\sin(z)[/tex]

Step-by-step explanation:

According to the information given by the problem

[tex]\sin(z) = {\displaystyle \frac{e^{iz} - e^{-iz} }{2i} }[/tex]

[tex]\cos(z) = {\displaystyle \frac{e^{iz} + e^{-iz} }{2} }[/tex]

Now, if you compute the derivative of [tex]\cos[/tex] you get that

[tex]\cos'(z) = {\displaystyle \frac{ ie^{iz}-i e^{iz} }{2} } = {\displaystyle \frac{ i ( e^{iz}- e^{iz} )}{2} }\\\\= {\displaystyle \frac{ i ( e^{iz}- e^{iz} )}{2} } *\frac{i}{i} }\\\\= {\displaystyle - \frac{ e^{iz}- e^{iz} }{2i} } = -\sin(z)[/tex]

Final answer:

To determine the acreage needed for the soccer field and facility, the fraction 2/8 is simplified to 1/4, and then 1/4 of the total land (16 acres) is calculated, resulting in 4 acres required for the soccer field and facility.

Explanation:

The question asks about a professional soccer player who has purchased 16 acres of land and wishes to use 2/8 of the land for a soccer field and facility. To find out how many acres will be needed for the soccer field and facility, we perform a simple calculation:

First, reduce the fraction 2/8 to its simplest form, which is 1/4. Then, multiply the total acreage by this fraction to determine the acreage for soccer use:

16 acres × 1/4 = 4 acres

Therefore, the soccer player will need 4 acres of land for his soccer field and facility.

9514 1404 393

Answer:

  67 cm

Step-by-step explanation:

Put 15 where m is and do the arithmetic.

  H(15) = 52 +15 = 67

The plant's height in 15 months is modeled as being 67 cm.