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xenn [34]
3 years ago
12

Please help it would be much appreciated!!

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

a) P) 0.25 = 1/4  both

b) P) 0.75 = 3/4  one

c) P) 0.25  = 1/4  none

Step-by-step explanation:

4 routes to D + H

6 routes to H + S

= D  H   S

     4  | 6

    - 2 | -3

=    2  |  3  = route 1 = 2/4  and route 2 = 3/6

= 1/2 route 1 and 1/2 route 2

Answer a ) = 1/2 x 1/2 = 0.25 = 1/4  = 0.25 probability

Answer b)  = 1- (1/2 x 1/2) = 1- 0.25 = 3/4 = 0.75 probability

Answer c)  = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability  

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Step-by-step explanation:

6 0
3 years ago
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an arts academy requires there to be 6 teachers for every 132 students and 3 tutors for every 27 students . how many students do
Nina [5.8K]

Answer:

3

Step-by-step explanation:

The number of necessary tutors when you divide 27 into 72, is 2.6; therefore the necessary number of tutors is 3 because you can’t have .6 of a tutor. Hope this helps!

4 0
2 years ago
Rhombus EFGH is shown. What is the measure of ∠HGJ?
MaRussiya [10]

Answer:

∠HGJ = 35°

Step-by-step explanation:

Although the question is somewhat incomplete, I have tried to reconstruct the question as much as possible to aid understanding (attached is the pictorial representation of the rhombus).

Firstly, it is important to note that rhombuses are parallelograms which have all sides equal and whose diagonals are perpendicular to each other. In addition to this, their diagonals bisect one other.

Mathematically, |EF| = |FG| = |GH| = |HE|

Another property which rhombuses have is that their opposite angles are equal.

Mathematically, ∠E = ∠G, ∠H = ∠F

The adjacent angles in a rhombus are supplementary. This means that the sum of angles closest to each other is 180°.

Mathematically, ∠E + ∠F = 180°, ∠F + ∠G = 180°, ∠G + ∠H = 180°,

∠H + ∠E = 180°

The question gave us ∠GHE and asked us to find ∠HGJ (denoted as θ in the picture attached). Note that ∠GHE means ∠H. That is, ∠GHE ⇒ ∠H

∠GHE or ∠H = 110°

From the properties of rhombuses (earlier stated), we know that adjacent angles in a rhombus are supplementary

Mathematically,

∠GHE + ∠FGH ⇒ 110° + ∠FGH = 180° ⇒ ∠FGH = 180° - 110°

∠FGH or ∠G = 70°

To calculate for ∠HGJ, we divide ∠FGH by 2, we have:

∠HGJ = ∠FGH ÷ 2 = 70° ÷ 2

∠HGJ = 35°

3 0
3 years ago
A rug is to fit in a room so that a border of consistent width is left on all four sides. If the room is 15 ft by 25 ft and the
AlladinOne [14]

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Dimensions of the room is given by

15 ft by 25 ft

Let x be the width around the rug.

So, new length = 15-2x

new breadth = 25-2x

Since Area of the rug = 264 sq. ft

So, it becomes,

\text{Area of rug}=Length\times breadth\\\\264=(15-2x)(25-2x)\\\\264=375-30x-50x+4x^2\\\\264=375-80x+4x^2\\\\4x^2-80x+375-264=0\\\\4x^2-80x+111=0\\\\x=\dfrac{3}{2}\ or\ x=\dfrac{37}{2}\\\\x=1.5\ ft

Hence, Option 'a' is correct.

4 0
3 years ago
How do you provide at least 1 equivalent fraction to 4/10
Afina-wow [57]
Multiply num and dem by 2 each to get 8/20
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