Solve this equation zma=a+b ;for a

Fez rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 6.

Temka [501]

Answer:

The probability of getting sum of two dice is less than six

P(E) =0.25

Step-by-step explanation:

Step(i):-

The total number of cases n(S) = 6² = 36

Let 'E' be the event of getting sum of two dice is less than six

{(1,2) , (1,3),(1,4),(2,1),(2,2),(2,3),(3,1),(3,2),(4,1)}

n(E) =9

Step(ii):-

The probability of getting sum of two dice is less than six

$P(E) = \frac{n(E)}{n(S)}$

$P(E) = \frac{9}{36} = \frac{1}{4}$

P(E) = 0.25

6 0

2 years ago

You just measured a sugar cube and obtained the following information: mass = 3.48 g height = length = width = 1.3 cm Determine

nignag [31]

Answer: Volume of sugar cube=2.20 cm³

Density of sugar cube = 1.60 g/cm³.

The sugar cube will sink.

Step-by-step explanation:

Given : Mass of cube = 3.48 g

Also, dimension of sugar cube :

height = length = width = 1.3 cm

Since , the volume of cube = (side)³

Volume of sugar cube=(1.3) ³= 2.197 ≈ 2.20 cm³

Also, Density = $\dfrac{\text{Mass}}{\text{Volume}}$

⇒ Density of sugar cube = $\dfrac{3.48}{2.2}=1.5818\approx1.60\ g/cm^3$

∴ Density of sugar cube = 1.60 g/cm³.

It is known that the density of water is 1 g/cm³.

Here , density of sugar cube > density of water

⇒ The sugar cube will sink .

5 0

2 years ago

2. The ground below your feet moves at the rate at which

garik1379 [7]

I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!

5 0

2 years ago

The heights of students at a college are normally distributed with a mean of 175 cm and a standard deviation of 6 cm. One might

frosja888 [35]

Answer:

25

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 175cm

Standard deviation = 6 cm

Percentage of students below 163 cm

163 = 175 - 2*6

So 163 is two standard deviations below the mean.

By the Empirical rule, 95% of the heights are within 2 standard deviations of the mean. The other 100-95 = 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of them are more than 2 standard deviations below the mean(so below 163cm) and 2.5% are more than two standard deviations above the mean.

2.5% of the students have heights less than 163cm.

Out of 1000

0.025*1000 = 25

25 is the answer

8 0

2 years ago

Read 2 more answers

Aarti bought a square shaped table cloth for her home the side of the table cloth measures 2 1/3m what is the area of the table

PSYCHO15rus [73]

Answer:

Area of table cloth = 49/9 m² or 5.44 m²

Step-by-step explanation:

Given:

Side of table cloth = $2\frac{1}{3}m$ = 7/3 m

Shape of cloth is square

Find:

Area of table cloth

Computation:

Area of square = side²

So,

Area of table cloth = side²

Area of table cloth = (7/3)²

Area of table cloth = 49/9 m² or 5.44 m²

3 0

1 year ago