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
Helen [10]
2 years ago
5

Jonathan can throw a baseball 10 1/3 yards. His brother Joey can throw a baseball 13 1/2 yards. How much father can Joey throw t

he ball?
Mathematics
1 answer:
butalik [34]2 years ago
5 0

let's firstly convert the mixed fractions to improper fractions, and then subtract.


\bf \stackrel{mixed}{10\frac{1}{3}}\implies \cfrac{10\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{31}{3}}~\hfill \stackrel{mixed}{13\frac{1}{2}}\implies \cfrac{13\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{27}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{27}{2}-\cfrac{31}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)27~~-~~(2)31}{6}}\implies \cfrac{81~~-~~62}{6}\implies \cfrac{19}{6}\implies 3\frac{1}{6}

You might be interested in
Question 3
igor_vitrenko [27]

Answer:

The system has exactly one solution where x = 0 and y = -3.

Step-by-step explanation:

-6x + y = -3

7x - y = 3

(7x - 6x) + (y - y) = 3 - 3

x + 0 = 0

x = 0

7(0) - y = 3

0 - y = 3

-y = 3

y = -3

-6(0) + y = -3

0 + y = -3

y = -3

So, the system has exactly one solution where x = 0 and y = -3.

Hope this helps!

7 0
3 years ago
(20 points)
vladimir1956 [14]

Answer:

B

Step-by-step explanation:

Slope is the same(x) therefore they are parallel

3 0
3 years ago
What is the value of the hundreds digit in the number 943? (For example, in 280, the value of the hundreds digit is 200.) What i
Eddi Din [679]

Answer:

Hundreds: 900 Tens: 40 Ones: 3

Step-by-step explanation:

I hope this helps :)

8 0
2 years ago
It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the
son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

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.

50% of adult workers have a high school diploma.

This means that p = 0.5

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

In which

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

P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039

P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313

P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094

P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188

P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734

P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556

85.56% probability that less than 6 of them have a high school diploma

7 0
3 years ago
help please i’ll give brainliest an explanation would help a lot too because i don’t know how to do this
anygoal [31]

Answer:

Exponential Function

Step-by-step explanation:

If you graph the numbers you'll get an exponential function  graph. Hope this helps!

3 0
2 years ago
Other questions:
  • Which given congruence is still needed to prove that LMO = NMO by AAS?
    14·1 answer
  • Please HELP!<br>2 Write 4 x 10 in standard notation.<br>​
    10·2 answers
  • 1. Solve the shape equation puzzle?
    6·1 answer
  • James planted 195 flowers in 3 days. There were 4 volunteers, including James, who each planted the same number of flowers. Abou
    13·1 answer
  • Write using algebra.
    15·1 answer
  • Use simple interest to find the ending balance.
    13·2 answers
  • 6(5x/3 -4/3 - 2)= 6 (3 - 6x/6 +4/6)
    15·1 answer
  • Sophie is 3.5 years younger than her brother. She knows that when she is b years old, her brother is b+3.5 years old. Right now,
    13·2 answers
  • Quadrilateral ABCD is a kite. Find the measure of angle BCD.
    14·2 answers
  • 2.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!