1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erma4kov [3.2K]
3 years ago
10

Bob is 3 years older than twiceJohn's age. The sum of their ages is 33. How old is Bob? B = 21 +3 J J + 2] +3=33 3J+3=33 -Be-3 C

-3 3:​
Mathematics
1 answer:
Gwar [14]3 years ago
3 0

Answer:

23

Step-by-step explanation:

1. according to the condition 'Bob is 3 years older than twiceJohn's age':

B-2J=3;

2. according to the condition 'The sum of their ages is 33':

B+J=33

3. If to solve these two equations as a system, then

\left \{ {{B+J=33} \atop {B-2J=3}} \right.  \ => \left \{ {{B=23} \atop {J=10}} \right.

You might be interested in
A simple random sample of 110 analog circuits is obtained at random from an ongoing production process in which 20% of all circu
telo118 [61]

Answer:

64.56% probability that between 17 and 25 circuits in the sample are defective.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 110, p = 0.2

So

\mu = E(X) = np = 110*0.2 = 22

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{110*0.2*0.8} = 4.1952

Probability that between 17 and 25 circuits in the sample are defective.

This is the pvalue of Z when X = 25 subtrated by the pvalue of Z when X = 17. So

X = 25

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

Z = \frac{25 - 22}{4.1952}

Z = 0.715

Z = 0.715 has a pvalue of 0.7626.

X = 17

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

Z = \frac{17 - 22}{4.1952}

Z = -1.19

Z = -1.19 has a pvalue of 0.1170.

0.7626 - 0.1170 = 0.6456

64.56% probability that between 17 and 25 circuits in the sample are defective.

4 0
3 years ago
Which situation represents a proportional relationship?​
ozzi

Answer:

c.... i am just smart

5 0
3 years ago
How many ways can you distribute $4$ identical balls among $4$ different boxes?
snow_tiger [21]

Answer:  a reasonable answer would be 4 balls maximum and 0 balls minimum to any of 4 given boxes with the 4 box totals = 4 balls.

Step-by-step explanation:

7 0
3 years ago
Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
3 0
3 years ago
In triangle ABC, a = 4, b =5, angle c = 110, find length of median to the longest side
Sonbull [250]
69............................
3 0
3 years ago
Other questions:
  • A turtle population grows in a manner that closely resembles a geometric sequence. Given the table of values, determine the turt
    10·1 answer
  • Find the perimeter of parallelogram ABCD if AB=5 and BC=2
    15·2 answers
  • About how many pints are there in 445 ounces
    7·2 answers
  • What is the x-coordinate of the solution to the system of equations?<br> {3x+2y=3<br> 2x−2y=7
    11·1 answer
  • Consider the following series. 1 8 1 16 1 24 1 32 1 40 Determine whether the geometric series is convergent or divergent. Justif
    5·1 answer
  • Help Me Please!!
    6·1 answer
  • HhahsecbxhsaBNIMQKBS help?
    10·2 answers
  • I need help!!!!!!!!!!!​
    8·1 answer
  • A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of
    5·1 answer
  • What are the new coordinates of L' if the following image has a dilation of 1/2?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!