All categories

3 years ago

Fair Spinner A has four equal sections labelled 1,2,3,4.

Mathematics

1 answer:

taurus [48]3 years ago

8 0

Answer:

3/8

Step-by-step explanation:

The spinner A has 4 possible values:

1, 2, 3, 4

The spinner B has 4 possible values:

2, 3, 4, 5

The possible pairs we can have are:

(1,2), (1,3), (1,4), (1,5),

(2,2), (2,3), (2,4), (2,5),

(3,2), (3,3), (3,4), (3,5),

(4,2), (4,3), (4,4), (4,5).

The sum of these pair of values are:

3, 4, 5, 6,

4, 5, 6, 7,

5, 6, 7, 8,

6, 7, 8, 9.

So we have 6 values that are 5 or less, in a total of 16 values, so the probability of the sum being 5 or less is P = 6/16 = 3/8

You might be interested in

Find x if L is between N and M, and NL = (6x - 5), LM = (2x + 3), and NM = (3x+13)?

anastassius [24]

Answer:

x = 3

Step-by-step explanation:

Here, we want to find the value of x

By mathematical convention;

NM = NL + LM

Now, substitute individual values

3x + 13 = (6x-5) + (2x + 3)

3x + 13 = 6x-5 + 2x + 3

3x + 13 = 8x -2

Collect like terms

8x -3x = 13 + 2

5x = 15

x = 15/5

x = 3

3 0

3 years ago

The triangles below are similar. Find x showing the proportion and all work.

zavuch27 [327]

we are given that

two triangles are similar

so, the ratio of their sides must be same

we get

$\frac{2}{6} =\frac{x}{x+2}$

now, we can solve for x

step-1: Cross multiply both sides

$2(x+2) =6x$

step-2: Simplify left side

$2x +4 =6x$

step-3: Subtract both sides by 2x

$2x +4-2x =6x-2x$

$4 =4x$

step-4: Divide both sides by 4

$x=1$

so,

$x=1$ ............Answer

7 0

4 years ago

Compute the conditional probabilities from the two-way frequency table.

Natali5045456 [20]

Answer:

The table is show clearly in the figure attached.

P(boy if favourite activity is swimming) = 8/17 = 0.47

P(girl if favourite activity is sport) = 7/27 = 0.26

P(girl if favourite activity is reading) = 4/6 = 0.67

P(boy if favourite activity is sport) = 20/27 = 0.74

P(favourite activity is swimming if a girl) = 9/20 = 0.45

P(favourite activity is reading if a boy) = 2/30 = 0.07

P(favourite activity is swimming if a boy) = 8/30 = 0.27

P(favourite activity is reading if a girl) = 4/20 = 0.2

6 0

3 years ago

Divide. Write in simplest form. 10 divided by 1 2/3 ?

adell [148]

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

8 0

3 years ago

If f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(2).

Scilla [17]

F ( x ) = k * x²
f ( 4 ) = 96
96 = k * 4²
96 = 16 k
k = 96 : 16
k = 6
f ( 2 ) = 6 * 2² = 6 * 4 = 24
Answer: D ) 24

6 0

3 years ago

Read 2 more answers