Ask question

Ask question

All categories

3 years ago

11

Pamela is 13 years younger than jiri. The sum of their ages is 41. What is jiri’s age?

2 answers:

Tju [1.3M]3 years ago

6 0

Answer:

27

Step-by-step explanation:

Pamela is 13 years younger than Jiri and the sum of their ages is 41, therefore (x=Jiri's age) (x-13) + x = 41) 2x-13=41 x=14. Pamela is 14 and Jiri is 27

Nana76 [90]3 years ago

4 0

Jiri is 27

Solution-

Pamela is X-13 years old
Jiri is X years old

So X+X-13=41
2X+13+13
2X=54
X=27

Check Answer-

Jiri- 27
Pamela- 27-13= 14
So Pamela is 14

14+27=41

You might be interested in

Psychology students at Wittenberg University completed the Dental Anxiety Scale questionnaire (Psychological Reports, August 199

fredd [130]

Answer:

a) $Z = 1.43$

b) There is a 48.696% probability that someone scores between a 10 and a 15 on the Dental Anxiety Scale is

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

$Z = \frac{X - \mu}{\sigma}$

Each z-score value has an equivalent p-value, that represents the percentile that the value X is.

In our problem, the mean score was 11 and the standard deviation was 3.5.

So, $\mu = 11$ , $\sigma = 3.5$ .

(a) Suppose you score a 16 on the Dental Anxiety Scale. Find the z-value for this score.

What is the value of Z when $X = 16$ ?

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{16 - 11}{3.5} = 1.43$

(b) Find the probability that someone scores between a 10 and a 15 on the Dental Anxiety Scale.

We have to find the percentiles of both of these scores. This means that we have to find Z when $X = 10$ and $X = 15$ . The probability that someone scores between a 10 and a 15 is the difference between the pvalues of the z-value of X = 10 and X = 15.

When $X = 10$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 11}{3.5} = -0.29$

Looking at the z score table, we find that the pvlaue of $Z = -0.29$ is 0.3859.

When $X = 15$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{15 - 11}{3.5} = 1.14$

Looking at the z score table, we find that the pvlaue of $Z = 1.14$ is 0.87286.

So, the probability that someone scores between a 10 and a 15 on the Dental Anxiety Scale is

0.87286 - 0.3859 = 0.48696 = 48.696%

(c) Find the probability that someone scores above a 17 on the Dental Anxiety Scale

This probability is 100% minus the pvalue of the zvalue when $X = 17$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{17 - 11}{3.5} = 1.71$

When $Z = 1.71$ , the pvalue is 0.95637. This means that there is a 95.637% probability that someone scores BELOW 17 on the dental anxiente scale.

100 - 95.637 = 4.363%

There is 4.363% probability that someone scores above a 17 on the Dental Anxiety Scale

4 0

3 years ago

In the problem • N = 1, N must be

Basile [38]

The answer is 1 by multiplying by itself

6 0

3 years ago

Algebra 2 Question, tagged in the link

deff fn [24]

The answer to the question

7 0

3 years ago

Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon

motikmotik

Given parameters;

Let us solve this problem step by step;

Let us represent Simon's money by S

Kande's money by K

Simon has more money than Kande

S > K

if Simon gave Kande K20, they would have the same amount;

if Simon gives $20, his money will be S - 20 lesser;

When Kande receives $20, his money will increase to K + 20

S - 20 = K + 20 ------ (i)

While if Kande gave Simon $22, Simon would then have twice as much as Kande;

if Kande gave Simon $22, his money will be K - 22

Simon's money, S + 22;

S + 22 = 2(K - 22) ------ (ii)

Now we have set up two equations, let us solve;

S - 20 = K + 20 ---- i

S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii

So, S - 20 = K + 20

S + 22 = 2K - 44

subtract both equations;

-20 - 22 = (k -2k) + 64

-42 = -k + 64

k = 106

Using equation i, let us find S;

S - 20 = K + 20

S - 20 = 106 + 20

S = 106 + 20 + 20 = 146

Therefore, Kande has $106 and Simon has $146

3 0

3 years ago

What is y = x2 + 4x + 7 in vertex form

Makovka662 [10]

Answer:

$y = (x + 2)^{2} + 3$

6 0

3 years ago