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Alik [6]
3 years ago
5

Lamia has the letter cards A, H, M,

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0
The probability that she will spell the word “MATH” is 1/24.

Explanation:

All possible arrangements = 4P4 = 4 x 3 x 2 x 1 = 24

Only 1 out of them will spell “MATHS”.

Therefore, the probability that she will spell the word “MATH” is 1/24.
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A geologist has ten rock samples in a bag and is going to use eight for class. What is the probability that the first three pull
Neporo4naja [7]

Answer:

1/56 chance

Step-by-step explanation:

3/8 x 2/7 x 1/6 = 1/56

5 0
3 years ago
Steven is driving to Texas pulling a 12 ft. boat. If he drives 150 miles in
ziro4ka [17]

Answer: 975

Step-by-step explanation:

Because you multiply 6 times 150 and then you add 75 because that is half of 150 and you only need one more mile

6 0
3 years ago
The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect
ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}

Now the points  A(−3, 4) and  B(7, 2)

AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}

AB = \sqrt{(10)^{2} +(-2)^{2}}

AB = \sqrt{100+4}

AB = \sqrt{104}

AB = 2\sqrt{26}\units

Thus

CD= 2\sqrt{26}\units

Now the points

A (−3, 4) , D (−4, −1)

AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}

AD = \sqrt{(-1)^{2} +(-5)^{2}}

AD = \sqrt{1 + 25}

AD = \sqrt{26}\units

Thus

BC = \sqrt{26}\units  

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

Length = 2\sqrt{26}\ units

Breadth = \sqrt{26}\ units  

Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})

Perimeter\ of\ rectangle = 2(3\sqrt{26})

Perimeter\ of\ rectangle = 6\sqrt{26}

\sqrt{26} = 5.1 (Approx)

Perimeter\ of\ rectangle = 6\times 5.1

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0
3 years ago
Which solid figure does this net represent?
ElenaW [278]

Answer:

C) triangular prism

Step-by-step explanation:

The net represents a three-dimensional shape. The figure that the net represents is a rectangular prism.

3 0
2 years ago
Read 2 more answers
Tell whether the equation has one, no solution, or infinitely many solutions (x-5)+28=6x-1​
elixir [45]

Answer:

one solution

x= 4.8

5 0
3 years ago
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