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3 years ago

The probability that it rains in London on any particular day is 0.3.

Mathematics

2 answers:

SpyIntel [72]3 years ago

6 0

Answer:

It is 14.45 percent .

Step-by-step explanation:

Explanation:

The first day is independent from the day before. Therefore the first day probability (of rain) is 20 percent.

The second day (depends on the previous day) rainfall probability is 85 percent.

Finally, the third day (it must be rainy to satisfy the total probability) rainfall probability is 85 percent.

The probability of having three consecutive days which are rainy:

P(all rainy)

0.20

0.85

0.1445

or 14.45 percent.

12345 [234]3 years ago

4 0

Answer:

i would add or multiply

Step-by-step explanation:

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Write an expression for the calculation 5 times the number 29 and 14 minus 11

Mars2501 [29]

Answer: 5 x 29 14-11

3 0

3 years ago

A rectangles width is 5 feet less than its length. Write a quadratic function that expresses the rectangles area in terms of its

Ira Lisetskai [31]

Answer:

Area = L²-5L

Step-by-step explanation:

Area = length * width

Length = L

Width = L - 5

Area = L * (L-5) = L²-5L

4 0

3 years ago

2^-3 x 3^-2<br> 2 to the power of negative 3 times by 3 to the power of negative 2

Ivan

<h3>The value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889</h3>

<em><u>Solution:</u></em>

<em><u>Given that:</u></em>

$2^{-3} \times 3^{-2}$

We have to find the value of expression

We know that,

$a^{-n} = \frac{1}{a^n}$

Therefore,

$2^{-3} \times 3^{-2} = \frac{1}{2^3} \times \frac{1}{3^2}$

We know that,

$a^2 = a \times a$

Similarly,

$2^{-3} \times 3^{-2} = \frac{1}{2 \times 2 \times 2} \times \frac{1}{3 \times 3}\\\\Simplify\\\\2^{-3} \times 3^{-2} = \frac{1}{8} \times \frac{1}{9}\\\\2^{-3} \times 3^{-2} = \frac{1}{72}\\\\Simplify\\\\2^{-3} \times 3^{-2} = 0.013889$

Thus value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889

5 0

3 years ago

Help meeeeeeeeeeeeeee pls

WITCHER [35]

Answer:

Area = 15.36 ft

Step-by-step explanation:

First find the area of the dotted line triangle using the formula: base x height x 1/2, which would be 1.2ft x 12.8 x 1/2 = 7.68ft.

Next, add another triangle at the top, mirroring the shown triangle, of the parallelogram.

Then, find the area of the shape as though it were a rectangle. (base x height) - 2.4 x 12.8 = 30.72.

Next, multiply the area of the invisible triangle by 2, 7.68 x 2 = 15.36ft

and Finally, subtract the area of the rectangle shape of the the sum of the two invisible triangles, 30.72 - 15.36 = 15.36ft

The area of the parallelogram is 15.36 ft.

5 0

3 years ago

Clayton needs to reflect the triangle below across the line y = x. On a coordinate plane, triangle A B C has points (5.5, 7), (6

Ksju [112]

Answer:

Clayton could use the relationship (x,y) - (y,x) to find the points of the image.

C’ will remain in the same location as C because it is on the line of reflection.

The image and the pre-image will be congruent triangles.

The image and pre-image will not have the same orientation because reflections flip figures

Step-by-step explanation:

Clayton needs to reflect the triangle below across the line y=x

Which statements about the reflection are true? Check all that apply.

Clayton could use the relationship (x,y) - (y,x) to find the points of the image.Clayton could negate both the x and y values in the points to find the points of the image.C’ will remain in the same location as C because it is on the line of reflection.C’ will move because all points move in a reflection.The image and the pre-image will be congruent triangles.The image and pre-image will not have the same orientation because reflections flip figures.

Solution:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Reflection is the flipping of a figure over a line. If a point A(x, y) is reflected over the line y=x, the new location is A'(y, x).

If the triangle ABC with vertices A(5.5, 7), B(6, 2), C(4, 4) is reflected over the line y=x, the new location would be A'(7, 5.5), B'(2, 6) and C'(4, 4).

A. Clayton could use the relationship (x,y) - (y,x) to find the points of the image. Reflection across the line y = x is the swapping of the x and y coordinates. Option A is correct

B. Clayton could negate both the x and y values in the points to find the points of the image. Option B is wrong

C. C’ will remain in the same location as C because it is on the line of reflection. C is on the line of reflection, hence it remains the same. Option C is correct.

D. C’ will move because all points move in a reflection.

Option D is wrong.

E. The image and the pre-image will be congruent triangles.

Option E is correct. Reflection preserves the shape and length of an object.

F. The image and pre-image will not have the same orientation because reflections flip figures. Option F is correct

8 0

3 years ago

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