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
loris [4]
3 years ago
8

Find three consecutive odd integers such that 10 times the first, plus 10 times the second, equals 10 more than 10 times the thi

rd. What is the third number
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0

Answer:

4

Step-by-step explanation:

If x is the third number, then x−1 and x−2 are the second and first numbers.

10(x−2) + 10(x−1) = 10 + 10x

x − 2 + x − 1 = 1 + x

2x − 3 = 1 + x

x = 4

You might be interested in
Do rational expressions contain logarithmic functions? A. always B. sometimes C. never
bazaltina [42]

The right answer is C. never


The quotient of two algebraic expressions is a<em> fractional expression. </em> Moreover, the quotient of two <em>polynomials</em> such as:


\frac{1}{x} \\ \\ \frac{3x-2}{1+x} \\ \\ \frac{x^2-4}{x^2+2}


is called a rational expression. So according to this definition rational expressions does not contain logarithmic functions. In fact, a rational expression is an expression that is the ratio of two polynomials like this:


f(x)=\frac{P(x)}{Q(x)} \\ \\ with \ Q(x) \neq 0

3 0
3 years ago
Read 2 more answers
ABCD×9=DCBA<br>(what is the value of A, B, C and D)​
Anettt [7]

Answer:

0

Step-by-step explanation:

The only value that would make sense is if at least one of the variables (A , B , C , D) is 0 (if not all of them). When multiplied, the answer will still be 0, thereby making the equation true.

~

4 0
3 years ago
Question: A book contains 10 photograph , some in color and some in black-and-white. Each
padilas [110]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
What is the area of a circle, if it's radius is 2cm?
slega [8]
25.13cm^2 or 8pi. The radius of a circle is 2 x pi x r^2. R is the radius. 2 x pi x 2^2cm -> 2 x pi x 4cm -> 8cm x pi -> 25.13cm^2. Leaving the answer in terms of pi would be 8pi.
8 0
3 years ago
A prticular type of tennis racket comes in a midsize versionand an oversize version. sixty percent of all customers at acertain
svetlana [45]

Answer:

a) P(x≥6)=0.633

b) P(4≤x≤8)=0.8989 (one standard deviation from the mean).

c) P(x≤7)=0.8328

Step-by-step explanation:

a) We can model this a binomial experiment. The probability of success p is the proportion of customers that prefer the oversize version (p=0.60).

The number of trials is n=10, as they select 10 randomly customers.

We have to calculate the probability that at least 6 out of 10 prefer the oversize version.

This can be calculated using the binomial expression:

P(x\geq6)=\sum_{k=6}^{10}P(k)=P(6)+P(7)+P(8)+P(9)+P(10)\\\\\\P(x=6) = \binom{10}{6} p^{6}q^{4}=210*0.0467*0.0256=0.2508\\\\P(x=7) = \binom{10}{7} p^{7}q^{3}=120*0.028*0.064=0.215\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0168*0.16=0.1209\\\\P(x=9) = \binom{10}{9} p^{9}q^{1}=10*0.0101*0.4=0.0403\\\\P(x=10) = \binom{10}{10} p^{10}q^{0}=1*0.006*1=0.006\\\\\\P(x\geq6)=0.2508+0.215+0.1209+0.0403+0.006=0.633

b) We first have to calculate the standard deviation from the mean of the binomial distribution. This is expressed as:

\sigma=\sqrt{np(1-p)}=\sqrt{10*0.6*0.4}=\sqrt{2.4}=1.55

The mean of this distribution is:

\mu=np=10*0.6=6

As this is a discrete distribution, we have to use integer values for the random variable. We will approximate both values for the bound of the interval.

LL=\mu-\sigma=6-1.55=4.45\approx4\\\\UL=\mu+\sigma=6+1.55=7.55\approx8

The probability of having between 4 and 8 customers choosing the oversize version is:

P(4\leq x\leq 8)=\sum_{k=4}^8P(k)=P(4)+P(5)+P(6)+P(7)+P(8)\\\\\\P(x=4) = \binom{10}{4} p^{4}q^{6}=210*0.1296*0.0041=0.1115\\\\P(x=5) = \binom{10}{5} p^{5}q^{5}=252*0.0778*0.0102=0.2007\\\\P(x=6) = \binom{10}{6} p^{6}q^{4}=210*0.0467*0.0256=0.2508\\\\P(x=7) = \binom{10}{7} p^{7}q^{3}=120*0.028*0.064=0.215\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0168*0.16=0.1209\\\\\\P(4\leq x\leq 8)=0.1115+0.2007+0.2508+0.215+0.1209=0.8989

c. The probability that all of the next ten customers who want this racket can get the version they want from current stock means that at most 7 customers pick the oversize version.

Then, we have to calculate P(x≤7). We will, for simplicity, calculate this probability substracting P(x>7) from 1.

P(x\leq7)=1-\sum_{k=8}^{10}P(k)=1-(P(8)+P(9)+P(10))\\\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0168*0.16=0.1209\\\\P(x=9) = \binom{10}{9} p^{9}q^{1}=10*0.0101*0.4=0.0403\\\\P(x=10) = \binom{10}{10} p^{10}q^{0}=1*0.006*1=0.006\\\\\\P(x\leq 7)=1-(0.1209+0.0403+0.006)=1-0.1672=0.8328

7 0
3 years ago
Other questions:
  • 169,248 divided by 516
    8·1 answer
  • What is the y-intercept of y = 5?
    10·2 answers
  • Type "numerator" or "denominator" to complete each statement. x4 is in the . y14 is in the . z4 is in the .
    14·2 answers
  • I need help as soon as possible​
    15·1 answer
  • What division problem does the model show? (Giving Brainliest To Whoever Answers Good)
    10·1 answer
  • Plz help me will give crown.
    5·2 answers
  • If 10 beach balls cost 24.50, how much is 1 beach ball?
    9·2 answers
  • (b) Amira takes 9 hours 25 minutes to complete a long walk. (i) Show that the time of 9 hours 25 minutes can be written as 113 1
    8·2 answers
  • Draw a line representing the "rise" and a line representing the "run " of the line. State the slope of the line in simplest form
    13·1 answer
  • Ill give brain if u give me brain 2
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!