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Sergio039 [100]

3 years ago

12

4 Two number cubes are rolled. The faces have the numbers 1-6 on them. The number that shows on top is recorded. What is the pro

bability that
the same number shows on both number cubes?
OF
OS

1 answer:

Len [333]3 years ago

6 0

Of is a answer isn’t

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Reduce the fraction to lowest terms. y+5/2y+10<br><br>A:1/4<br>B:1/2<br>C:2/5

Oduvanchick [21]

The given fraction is:

$\frac{y+5}{2y+10}$

We cannot take anything common from the numerator but from the denominator we can take out 2 as common because 2 is a factor of both the terms i.e. 2y and 10.

2y + 10 can be written as 2y +2(5) which can further be written as 2(y+5)

So, our fraction now becomes:

$\frac{y+5}{2(y+5)}$

y+5 occurs in both the numerator and denominator and thus be cancelled out leaving behind:

$\frac{1}{2}$

Therefore, the given fraction in lowest term is equal to 1/2. So option B is the correct answer

8 0

3 years ago

There are approximately 3.2 x 10^7 mosquitoes near each backyard pool. How many total mosquitoes are thre in a city with 6.7 x 1

dexar [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

There are approximately $3.2 \times 10^7$ mosquitoes near each backyard pool.

The city has total number of pools $6.7 \times 10^{12}$ .

So the total mosquitoes will be : $3.2 \times10^7 \times6.7\times 10^{12}$

So the total mosquitoes will be : $21.44 \times 10^{19}$

So the total mosquitoes will be : $2.144 \times 10^{20}$ : Answer

Hope it will help :)

3 0

3 years ago

A spherical ball just fits inside a cylindrical can that is 10 centimeters tall, with a diameter of 10 centimeters. Which expres

fgiga [73]

Step-by-step explanation:

Volume:

$volume \: of \: a\: sphere = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi( {5)}^{3}$

3 0

3 years ago

Solve the following inequality: 30 ≥ -30 – 6x *

Aleonysh [2.5K]

Answer: The answer is x ≥ -10

Step-by-step explanation:

5 0

3 years ago

A famous Premier-league footballer was quoted on Match of the Day to have a goal-scoring statistic of 0.36

stepan [7]

Answer:

$13a.\ The \ probability\ of \ scoring\ a\ goal\ in\ a\ game\ is\ 0.36\\\\b. 3 \ games$

14.

$a. \ \£90\\b. \ 26 \ weeks\\c. \ \£4,860$

15. This is not possible since p(yellow)=0.10 which is less than the stated 0.35

Step-by-step explanation:

13 a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.

-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he is involved in.

b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:

$Games=\frac{1 \ game}{p(goal)}\\\\=\frac{1}{0.36}\\\\=2.778\approx 3$

Hence, it takes approximately 3 games to score a full goal.

14.-The cost of a GCSE retake is £600 and attracts a 15% deposit

#The 15% equivalent in actual pounds is calculated by multiplying the percentage by the total cost as:

$C_g=0.15\times 600\\\\=\£90$

Hence, the 15% deposit amount equals £90

b.#The student pays the balance in a £20 per week scheme,the total number of weeks is calculated as:

$t=\frac{Balance}{Rate}\\\\=\frac{600-90}{20}\\\\=\frac{510}{20}\\\\=25.5\approx 26$

Hence, it takes 26 weeks to clear the balance.

c. Given that 10% is the equivalent of £450

-We divide this amount by 10% to get the 100% equivalent

#We know that 10%=0.10

$100\%=\frac{540}{0.1}\\\\=\£5400$

#Alternatively, 100% divided by 10% is 10. Multiply this value by £540:

$=540\times 10\\\\=\£5400$

We subtract the discount amount for the per-discount price:

$Cost=Total -discount\\\\=5400-540\\\\=\£4860$

Hence, it will cost £4,860 without the discount.

15. Since we are not given the proportion of colors in the bag, we assume that all the 10 beads have different colors.

-As such, the sample space is 10 and each color has an equal chance of being picked:

$P(Each \ Color)=P(Yellow)=\frac{1}{10}\\\\\therefore P(Yellow)$

Hence, this is impossible since 0.10<0.35

7 0

4 years ago