(-2)5 . (-2)3<br><br><br> Product of powers property

The ratio of elena's height to pavai's height is 10:13. The ratio of elena's height to kamir's height is 2:3. Their total height

tensa zangetsu [6.8K]

Answer:

a) 10:13:3

b) 258 cm

Step-by-step explanation:

The ratio of elena's height to pavai's height is 10:13. The ratio of elena's height to kamir's height is 2:3. Their total height is 456 cm.

a) Find the ratio of elena's height to pavani's height to kamir's height in its simplest form.

10:13:3

b) What is pavani's height?

The ratio of elena's height to pavai's height is 10:13.

Their total height is 456 cm

Sum of proportions = 10 + 13 = 23

Hence:

13/23 × 456 cm

= 257.73913043 cm

Approximately = 258 cm

3 0

3 years ago

I need help with 25.

noname [10]

Sum of linear pair of angles = 180°

so

<EFG + <GFH = 180°

2n + 21 + 4n + 15 = 180°

6n + 36 = 180°

6n = 144

n = 24

<EFG = 2(24) + 21 = 69°

<GFH = 4n + 15 = 4(24) + 15 = 111°

6 0

3 years ago

20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

In 8 years, a girl will be 3 years older than twice her present age. How old is she now<br>

Lisa [10]

Answer:

5

Step-by-step explanation:

You can express this as a system of equations:

x in this instance will be her present age.

x + 8 = 2x + 3

simply solve for x after this by subtracting three and x from both sides, and you’ll find that x is 5.

5 0

3 years ago

A company that makes? hair-care products had 7000 people try a new shampoo. Of the 7000 ?people, 42 had a mild allergic reaction

hram777 [196]

Answer: Percent of people who had a mild allergic is 0.6%.

Step-by-step explanation:

Since we have given that

Total number of people try a new shampoo = 7000

Number of people had a mild allergic reaction = 42

We need to find the "Percentage of people had a mild allergic":

Percentage of people had a mild allergic is given by

$\frac{\text{ Total number of people who had a mild allergic}}{\text{ Total number of people}}\times 100\\\\=\frac{42}{7000}\times 100\\\\=\frac{42}{70}\\\\=0.6\%$

Hence, Percent of people who had a mild allergic is 0.6%.

7 0

3 years ago

(-2)5 . (-2)3 Product of powers property