The Sanchez family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 2 beds, 2 desks, and 2 dressers to select from. How many different furniture sets could they select?

Answer:

p=4

Step-by-step explanation:

because 5 is less than or equal to four!

another number grater than five no less than

so the answer is p=4

Answer:

Angle 4,

Step-by-step explanation:

Partnership with angle 3, it'll make a 90 degree angle.

The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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The total price she paid for the shirt was $27.03

Step-by-step explanation:

Distance covered is 168 km .

Time taken is 4 hours .

Speed = distance covered / time taken

=168/4

=42 kmph

In 80 minutes or 4/3 hours it would cover

42*4/3

=14*4

=56 km

Answer: ?=28

Step-by-step explanation: 35/7=5

                                             49/7=7

                                              28/7=4

The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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The given number lies between 64 and 81

A value that, when multiplied by itself, equals the original number is said to be the square root of a number. The character "√" stands for it. For instance, since 4 × 4 is 16, the square root of 16 is 4. Although a number's square root can be positive or negative, the positive value is more frequently utilized. To determine a distance or length, it is also used in mathematics.

given that square root is approximately 8.1066

let the value of the number be x

so √x>8 and √x<9

=>     8 < √x < 9

squaring on the both side we get

64 < x < 81

so the number lies between 64 and 81

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Answer:

Step-by-step explanation:

Quadrilateral is divided into two triangles

Triangle 1:

Diagonal = 16m , h = 12m

Area1 = \(\frac{1}{2}base *height\)

         \(=\frac{1}{2}*16*12\\\\=8*12\\\\= 96 m^{2}\)

Triangle 2:

Area2 = \(\frac{1}{2}*16*4\)

           = 8 * 4

           = 32 square meter

Area of quadrilateral = 96 + 32 = 128 sq.m

Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).

Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.

Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ B) = P(A) * P(B)

Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.

Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.

In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).

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The approximate ground area covered by the triangular building is K ≈ 11,869.39 square feet.

To approximate the ground area covered by the triangular building, we can use Heron's formula. Heron's formula allows us to calculate the area of a triangle when we know the lengths of its sides.

Given the lengths of the three sides of the triangular building as follows:

a = 82 feet

b = 195 feet

c = 177 feet

We can calculate the semi-perimeter (s) of the triangle using the formula:

s = (a + b + c)/2

Substituting the given values:

s = (82 + 195 + 177)/2

s = 454

Now, we can use Heron's formula to calculate the area (K) of the triangle:

K = √(s(s-a)(s-b)(s-c))

Substituting the values:

K = √(454(454-82)(454-195)(454-177))

K ≈ √(454(372)(259)(277))

K ≈ √(140,870,376)

Approximating the square root value:

K ≈ 11,869.39

Therefore, the approximate ground area covered by the triangular building is K ≈ 11,869.39 square feet.

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Sampling distribution of sample means with size 10, drawn randomly from a population with unknown mean and standard deviation, is approximately normal. It has a mean of 32 and a standard deviation of 6.32 (standard error of the mean). Option D is correct.

The sampling distribution of the mean of a large enough sample size follows a normal distribution, even if the underlying population is skewed.

The formula for the standard deviation of the sampling distribution of the mean is( σ / \((\sqrt(n))\) ) ,

where sigma is the standard deviation of the population and n is the sample size.

Substituting the values, we get:

standard deviation of sampling distribution =\(20/(\sqrt(10))\)= 6.32

Therefore, the sampling distribution of all possible samples of size 10 is approximately normal with a mean of 32 and a standard deviation of 6.32.

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Answer:

66

Step-by-step explanation:

Answer:

$58.05

Step-by-step explanation:

\( \frac{7.5}{100} \times 54 = 4.05\)

\(54 + 4.05 = 58.05\)

i think this is the answer

Answer:

$58.05

Step-by-step explanation:

Answer:

$100 + 25x > $700

Step-by-step explanation: If Tara opened a savings account with initially $100 then, the $100 should be the first thing you include in the inequality. After that, add $25 because that's what Tara saved per month, you should also add the x because the x represents every/per month. After this, the inequality sign of more than should be added and then add $700 because Tara wants to save more than $700.

Answer:

648

Step-by-step explanation:

02 =29283 \y8283 862bh7363 sin tag 2836

The two tangent theorem can be used to find the required equations and  the lengths of the of the segments and tangents as follows;

4. 6x - 16 = 4x - 10

5. x = 13

6. 10y - 3 = 7y + 21

7. y = 8

8. GK = 139
9. GZ = 77

10. ZL = 62

The two tangent theorem states that intersecting tangent segments from the point of the intersection to the circle are congruent.

The two tangent theorem indicates;

PZ = GZ, and ZK = ZL

Therefore;

4. An equation that can be used to solve for x can be obtained from the equation formed using the two tangent theorem and plugging in the value of ZK and ZL in the equation; ZK = ZL

The equation is therefore; 6·x - 16 = 4·x + 10

5. 6·x - 16 = 4·x + 10

6·x - 4·x = 10 + 16 = 26

2·x = 26

x = 13

6. The equation that can be used to solve for y can be obtained from the equation PZ = GZ, by plugging in the values of PZ and GZ in the equation as follows;

10·y - 3 = 7·y + 21

7. 10·y - 3 = 7·y + 21

10·y - 7·y = 21 + 3 = 24

3·y = 24

y = 24/3 = 8

y = 8

8. GK = GZ + ZK

Therefore; GK = 7·y + 21 + 6·x - 16

GK = 7 × 8 + 21 + 6 × 13 - 16 = 139

GK = 139

9. GZ = 7·y + 21 = 7 × 8 + 21 = 77

GZ = 77

10. ZL = 4·x + 10

Therefore; ZL = 4 × 13 + 10 = 62

ZL = 62

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The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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Answer:

18 mi²

Step-by-step explanation:

Using the formula:

\(A = \frac{hb}{2}\)

\(A = \frac{4.5*8}{2}\)

A=36/2

A=18

Units will be mi² since it is area

Answer:

A = 18 mi²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = 8 and h = 4.5 , then

A = \(\frac{1}{2}\) × 8 × 4.5 = 4 × 4.5 = 18 mi²

We return "Yes"; otherwise, we return "No".

What is probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.

To solve this problem, we can work backward from (c,d) to (a,b) and check if each step is valid. Specifically, we can use the following observations:

If c < a or d < b, it is impossible to reach (c,d) from (a,b) using the given operations.

If c - a = d - b, we can reach (c,d) from (a,b) using only the second operation. Specifically, we can perform the operation (a, a+b) repeatedly until we reach (c,d).

If c - a != d - b, we can reach (c,d) from (a,b) using a combination of the two operations. Specifically, we can perform the first operation (a,b) -> (a+b,b) repeatedly until we get to a point where c - a = d - b, and then use the second operation to get to (c,d).

Here, we first check if it is impossible to reach (c,d) from (a,b) using the observations above. If not, we perform the second operation as many times as possible to reduce the difference between c and a, and d and b. Once this is done, we check if we have arrived at (a,b).

Therefore, we return "Yes"; otherwise, we return "No".

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Answer:  0.10

Step-by-step explanation:

because u said that the bat was 1.00 more than the ball so the ball would be 0.10

Curved Surface Area (CSA): The CSA refers to the region of the hemisphere's outside surface.  Total Surface Area: The term "total surface area" refers to the combined area of the base of the circular and curved surface.

Since a hemisphere's base is round, we can readily calculate its surface area. Surface area can often be divided into two categories. The two terms are surface area overall and surface area curved.

Curved Surface Area (CSA): The CSA refers to the region of the hemisphere's outside surface.

Total Surface Area: The term "total surface area" refers to the combined area of the base of the circular and the curved surface.

We can quickly determine a hemisphere's surface area from a sphere's surface area.

Given that the hemisphere is half of the sphere,

Hemisphere's CSA equals (1/2) the sphere's surface area.

CSA = \((1/2)4\pi r2\)

CSA = \(2\pi r2\)

A hemisphere has a curved surface area of 2 r 2 square units.

The sphere's overall surface area is equal to its base area plus its curved surface area.

Utilize the area of the circle because we are aware that the hemisphere's base is circular in shape.

TSA = \(2\pi r2 + \pi r2 = 3\pi r2\)

Therefore,

A hemisphere has a surface area of  3πr square units.

Where the value of the constant is around 3.14.

"r" denotes the hemisphere's radius.

Identify the hemisphere's surface area with a radius of 4 cm.

Given:

Radius: 4 centimeters

The radius of the curve is two square units (r2).

There are 3r2 square units on the entire surface.

In the formula, replace the value of r.

I. Hemisphere's CSA = 2 + 3.14 + 4 + 4

CSA = 3.14 × 32

CSA = 100.48 \(cm^2\)

(ii) TSA for the hemisphere: 3 x 3.14 x 4 x 4

TSA = 3.14 × 48

TSA = 150.72 \(cm^2\)

As a result, the hemisphere has a total surface area of 150.72 \(cm^2\) and a curvature of 100.48 \(cm^2\).

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Answer:

4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

E to A is 3 and D to A is 2 so you add the two together and get 5 which is B.

Let me know if I'm wrong.

Answer:

56 marbles

Step-by-step explanation:

7*7=49

49+7= 56

Answer:

56

Step-by-step explanation:

the 7 she had multiplied by the 7 bags and 7 marbles in the bag

seven multiplied by 7 plus 7

Answer:

21 degrees celsius

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

At sunrise the temperature was : -2°c

By Noon the temperature increased by : 23°c

The temperature in Madison, Wisconsin at noon was 23 + (-2) =21°c

Answer:

T = (-7,-7)

Step-by-step explanation:

S = (3,9) = (x₁,y₁)

M = (-2,1) = (x,y)

T = (2x-x₁,2y-y₁)

= (2×-2-3,2×1-9)

=(-4-3,2-9)

=(-7,-7)

Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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