sage measured her rectangular house is 15.24m long and 9.1m wide. using her calculator she multiply the length by the width

Answer:

108 is your answer

Answer:

events at A and B are independent because P(A)(B)≠P(A)

The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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Step-by-step explanation:

Let breadth be x,

then length is 2x cm,

perimeter of rectangle=2(l+b),

48=2(2x+x),

48÷2=3x

24=3x

24÷3=x

8cm =x,

B=8cm

L=2×8=16cm

Answer:

length =2x

breadth= let x be breadth

Perimeter = 48cm

now

Perimeter = 2 (l+b)

or, 48 cm = 2 (2x+x)

or, 48cm= 4x + 2x

or, 48 cm = 6x

or, 48cm÷6 =x

x = 8 cm

breadth= 8cm

length = 8 ×2 =16cm

Answer: B)28

Step-by-step explanation:

Answer:

Step-by-step explanation:

All it's saying is that the 12% of the people are 35 and the 82% of people who did not submitted data is 175 people

The calculated test statistic (2.08) is greater than the critical value (1.96), we reject the null hypothesis and conclude that there is evidence to suggest that the contest has increased participation in the box tops for education program.

To determine if the contest has increased participation in the box tops for the education program, we need to conduct a hypothesis test.

We will use a significance level of 0.05, which means we are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

Null Hypothesis: The proportion of students submitting box tops for education is still 12% (or has decreased) after the contest.

Alternative Hypothesis: The proportion of students submitting box tops for education has increased after the contest.

To test this hypothesis, we will use a one-sample proportion test. We will use the sample proportion, p' = 35/210 = 0.1667, as an estimate of the population proportion, p. The test statistic is calculated as:

z = (p' - p) / √(p x (1-p)/n)

where n is the sample size.

Under the null hypothesis, the expected value of the test statistic is 0, and the standard deviation of the test statistic is sqrt(p*(1-p)/n).

Using p = 0.12 and n = 210, we have:

z = (0.1667 - 0.12) / √(0.12 x 0.88/210) ≈ 2.08

The critical value for a significance level of 0.05 and a two-tailed test is ±1.96.

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Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

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Answer:

1/6

Step-by-step explanation:

Answer:

B. 2⁵ + 7²

Step-by-step explanation:

2 to the fifth power is: 2⁵

7 squared (7 to the second power) is: 7²

Answer:

  (c)  (-∞, -2] ∪ (-1, ∞)

Step-by-step explanation:

You want the range of the piecewise function shown in the graph.

The range is the vertical extent of the graph, the set of possible output values of the function.

This graph shows a gap between y = -2 and y = -1. The value y = -2 is included in the range, but the value y = -1 is not. (That's what the open circle means.)

Hence, the range is ...

  (-∞, -2] ∪ (-1, ∞)

Answer:

(-1.5,-4)

Explanation:

Given the directed line segment from (-3,5) to (-1,- 7), the point that partitions the segment into a ratio of 3 to 1 can be found using the formula.

Therefore:

The coordinates of the point on the directed line segment from (-3,5) to (-1,- 7) that partitions the segment into a ratio of 3 to 1 is (-1.5,-4).

The measurement closest to the area of the circle in meters is 379.94 sq. meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.

Given that,

diameter = 22m

radius = 22/2 = 11m

The area of the circle is:

A = πr²

Substituting the value of π = 3.14 and r = 11 we have:

A = (3.14)(11)²

A = 379.94

Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.

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Answer:

(d) -12

Step-by-step explanation:

3a = _____

a = -4

3(-4) = ___

3(-4) = -12

The answer is (d) -12

Answer:

1.23

Step-by-step explanation:

The net change between the given values of the variable is  \(\frac{4h}{a(a+h)}\).

\(f(t)=\frac{4}{t}, t=a,t=a+h\)

\(f(a)=\frac{4}{a} \\\\f(a+h)=\frac{4}{a+h}\)

To find net change, subtract \(f(a+h)\) from \(f(a)\)

Net Change is,

                         \(=\frac{4}{a}-\frac{4}{a+h}\\\\=\frac{4(a+h-h)}{a(a+h)} \\\\=\frac{4h}{a(a+h)}\)

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Answer:

24.25 in²

Step-by-step explanation:

s = (a + b + c)/2 = (8 + 13 + 7)/2 = 14 in

s - a = 6, s - b = 1, s - c = 7

so

the area = \(\sqrt{14\times6\times1\times7}=24.25\)

Answer:

Your answer will be:

-5y+3

Step-by-step explanation:

Step-by-Step explanation below in the picture.

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Answer:

Since they are vertical angles (or angles opposite each other), you set them equal to each other.

5x + 4 = 74

5x = 70

x = 15

Answer:

4.2 kilometers

Step-by-step explanation:

3/5 simplified =.6 each day .6 x7 days =4.2 kilometers

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

R₁-->43(R₁)+9(R₂) is the row operation we apply to make 1 in the 1st row and a column.

The given matrix is \(\left[\begin{array}{ccc}9&4&-9\\-43&-19&44\end{array}\right]\)

We have to make 1 in row 1 and column 1

We have to apply a row operation to make 1 in the row 1 and column 1

R₁-->43(R₁)+9(R₂)

\(\left[\begin{array}{ccc}0&1&9\\-43&-19&44\end{array}\right]\)

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You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

1.5 pounds

Step-by-step explanation:

$15=60 quarters

2.5x16 = 40 quarters per pound

60/40 = 1.5 pounds

a) The initial deposit in the account is given as follows: 1,287.39 euros.

b) The interest rate of the account is given as follows: 3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

Considering the balances after 5 and 6 years, the interest rate is obtained as follows:

r = 1524.60/1480.50 - 1

r = 0.03.

Considering the balance after 5 years, the initial deposit is obtained as follows:

P(1 + 0.03 x 5) = 1480.5

P = 1480.5/1.15

P = 1,287.39 euros.

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The length of the sides of triangle ABC are: 6, 8, and 12.

One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.

In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6

Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.

Hence, all three pairs of corresponding sides have the same proportion.

AB/DE = BC/EF = AC/DF = 1/2

Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.

ratio f sides : perimeter = 3 : 4 : 6 : 13

Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6

Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF

Length of the sides of triangle ABC are: 6, 8, and 12.

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