Write 28 as a product of prime factors.

Answer:

h = 5√3

Step-by-step explanation:

h = (√3/2)a

h = 10

h = (√3/2)10

h = 5√3

Answer:

9

Step-by-step explanation:

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

The correct elements in the set are {-4,-3,-2,-1,0,...}.

A set is a clearly defined group of items.

Given that, y is an integer greater than or equal to -4.

Note that the first, second, and third sets start with 4, -3, and -1, therefore, it cannot be the solution.

The elements of the second set start from -4 and are greater than -4.

Hence, the correct elements in the set are {-4,-3,-2,-1,0,...}.

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Answer:

Figure C

Step-by-step explanation:

With Figure C, you can see a line up and down to represent 2 symmetrical halves. This is the same if you go from left to right.

In the figure third which is hexagon has more than one line of symmetry option (C) is correct.

It is defined as the line which will make exactly two halves with similar shape and size in the geomerty. For two-dimensional shape there is a line of symmerty, and for the three-dimensional shapes there is plane of symmerty. In other words if we make a mirror image of the shape around the line of symmerty we will get exactly same half portion.

In the first figure a kite like shape is showing if we break it vertically by a vertical line, we will get half of this shape, and if we breake with horizontal line we will not get similar portion, hence in this figure there is only one line of symmetry.

Similarly,

In the second figure there is also only one line of symmetry.

In the third figure there is more than one line of symmetry.

In the fourth figure there is only one line of symmetry.

In the last figure there is only one line of symmetry.

Thus, in the figure third which is hexagon has more than one line of symmetry option (C) is correct.

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Answer:

Genotype: 100% rr
phenotype: 100% white

Step-by-step explanation:

since there are no dominant genes the cross will definitely be a rr genotype

Answer:

Step-by-step explanation:

blah blah blah

The type of sytudy that we have here is the observational study.

In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.

In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.

The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.

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Answer:

a = 57 mm is the answer.

Step-by-step explanation:

a = ?

b = 76 mm

c = 95 mm

According to the Pythagoras theorem,

a² + b² = c²

a² + 76² = 95²

a² + 5776 = 9025

a² = 9025 - 5776

a² = 3249

a = 57 mm

∴ a = 57 mm is the length of the missing leg.

Answer:

57 mm

Step-by-step explanation:

To solve for a, we can use the Pythagorean Theorem.

a² + b² = c²

We have to solve for a, and we are given values for b and c, c being the hypotenuse.

This is what we know-

a² + 76² = 95²

We can simplify this to-

a² + 5776 = 9025

To solve for a, we have to isolate the variable on on side of the equals sign. So, we can subtract 5776 from both sides.

a² + 5776 - 5776 = 9025 - 5776

Simplify.

a² = 3249

Finally, to solve for a, find the square root of a².

\(\sqrt{3249^{2}\) = 57

So, a = 57 mm

I hope this is helpful :) Good luck ^^

Answer:

2.3

Step-by-step explanation:

deltamath

The length of h is 3.3 cm.

According to the Cosine Rule in trigonometry, the square of the length of any side of a given triangle equals the sum of the squares of the other sides minus twice the product of the other two sides multiplied by the cosine of the angle that separates them. Law of cosines and Cosine Formula are other names for the cosine rule.

Given:

f = 6.6 cm, g = 3.3 cm and ∠H=6.

Using Cosine Formula

cos <H= f² + g² - h² / 2fg

cos < H = (6.6)² + ( 3.3)² - h² / 2(6.6)(3.3)

cos 6 = 43.56 + 10.98 -h² / 43.56

43.56 cos 6 = 54.54 - h²

h= √ 54.54 - 43.56 cos 6

h= √11.13

h = 3.3 cm

Hence, the length of h is 3.3 cm.

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Answer:

True

Step-by-Step

When the x was 2, the y was 11.

When the x was 4, the y was 19.

So for every two on the x side, the y side adds 8.

So yes, there's a pattern AKA, this a proportional table.

Hope this helped! :)

Considering that angle ABD is formed by the combination of angles DBC and ABC, we have that the measures of the angles are given as follows:

Angle ABD is formed by the combination of angles DBC and ABC. Their measures are given by:

Hence we apply the combination of the angles to find x, as follows:

5x + 2 + 8x - 6 = 47.

13x = 51.

x = 51/13

x = 3.923.

Hence the measures are given by:

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The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

What is independent event ?

In probability theory, two events A and B are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. That is, the probability of A occurring does not change based on whether B occurs or not, and vice versa.

Mathematically, two events A and B are independent if and only if the probability of their joint occurrence is the product of their individual probabilities:

P(A and B) = P(A) x P(B)

If this equation holds true, then we can say that A and B are independent events. Otherwise, they are dependent events.

According to the question:
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

Two events A and B are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In this case, we want to know if being a girl and playing a sport are independent events.

We are given that P(girl) = 0.46, which means that 46% of the students surveyed are girls. We are also given that P(girl | plays a sport) = 0.54, which means that 54% of the students who play a sport are girls.

If being a girl and playing a sport were independent events, then we would expect P(girl | plays a sport) to be equal to P(girl). However, we see that P(girl | plays a sport) = 0.54, which is different from P(girl) = 0.46.

This means that the probability of a student playing a sport is dependent on their gender. Therefore, being a girl and playing a sport are not independent events.

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, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: The fraction 3/9

Now we can simplify the fraction further by dividing both the numerator and denominator by 3

let p=3/9

then p=3/3 / 9/3

       p= 1/3

Hence, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

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Answer: 5

Step-by-step explanation:

Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5\(\sqrt{3\\}\) with \(\sqrt{3}\) you get 5 as the length of the shorter leg.

Answer:

63/4 or 15.75 if you want it at the smallest form.

Step-by-step explanation:

Annika picks 4 1/2 pounds of blueberries.she uses 2 3/4 pounds to make muffins,and she gives the rest to her neighbor.How many pounds of blueberries does Annika give to her neighbor?​

step 1

Find the difference

4 1/2 - 2 3/4

but first

convert to an improper fraction

4 1/2=4+1/2=9/2

2 3/4=2+3/4=11/4

substitute

9/2-11/4

Remember that

9/2 is equivalent tp 18/4

so

18/4-11/4=7/4

convert to mixed number

7/4=4/4+3/4=1+3/4=1 3/4 pounds

Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:

Z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

Part 1 of 2: For the oldest senator of age 85:

Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28

Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.

Part 2 of 2: For the youngest senator of age 39:

Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4

Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

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Answer:

Step-by-step explanation:

Answer:

A bag contains 25paise, 50 paise and Re 1 coins. There are 220 coins in all and the total amount in the bag is Rs.160. If there are thrice as many 1 Re. coins as there are 25 paise coins, then what is the number of 50 paise coins.

Step-by-step explanation:

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

-4+(-3)= -7. The dolphin is -7 feet below sea level

Step-by-step explanation:

Start at -4 on the number line. When you add a negative number to a negative number, you move left on the number line. Move 3 units to the left to land at -7. The dolphin is 7 feet below sea level.

Answer: i dum BTW I DONT THINK SOMEONE FOUND THIS HELPFUL IN LIKE 10 SECONDS IT HAS NO MAHTS

Step-by-step explanation: no

The quotient is 33x-8 and the remainder is 44.

What is quotient?

In arithmetic, a quotient is described as a quantity produced by the division of two numbers.

The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

The result of dividing 23-2-11x-8 by x+1 using synthetic division is:

23 | -2  -11x -8

x+1 | 23  21  11x

          44  33x-8

I conclusion, synthetic division is also an arithmetic method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.

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The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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Answer:
the length of the rectangle is y - 3.

Step-by-step explanation:

To find the length of the rectangle, we need to use the formula for the area of a rectangle:

Area = length x width

We are given the area of the rectangle as y^2 + 2y - 15 and the width as y + 5.

Let's substitute these values into the formula:

y^2 + 2y - 15 = length x (y + 5)

Now, we can solve for the length by dividing both sides by y + 5:

length = (y^2 + 2y - 15) / (y + 5)

We can simplify this expression by factoring the numerator:

length = [(y + 5)(y - 3)] / (y + 5)

The (y + 5) term in the numerator and denominator cancel out, leaving us with:

length = y - 3

Therefore, the length of the rectangle is y - 3.

9514 1404 393

Answer:

  y +4 = (1/5)(x +5)

Step-by-step explanation:

The point-slope form of the equation of a line is useful when you have a given point and slope.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Filling in the given values, this is ...

  y +4 = 1/5(x +5)

Answer:

Let x be the number of employees

50x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length of the room = 12 4/5 ft = 12.8 ft

Scale is 0.25 inches = 1 ft.

This means that every 1ft is shown as 1/4 inch on the map.

To find what 12 4/5ft on the map, you would multiply 12.8 by 0.25.

12.8 x 0.25 = 3.2 inches

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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