Answer: 5,760
Step-by-step explanation:
It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs. Let D represent the dogs and C represent the Cat , then we have
D C D C D C D C D D or
D D C D C D C D C D or
D C DD C D C D C D or
D C D C D D C D C D or
D C D C D C DD C D
Each of the arrangements above could be done in
2 x 4! x 4! ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )
= 2 x 24 x 24
= 1 , 152
The total arrangement = 5 x 1 , 152
= 5,7 60 ways
Remark
I'm going to assume you are in the Northern Hemisphere.
Answer
A looks like you are beginning in Winter. The temperature is down quite a bit. That would be about October where I live. B is spring because the temperature is rising but not at it's peak. That would be about April May here.
C is summer. Glorious warm summer. June July and August.
D is autumn. The temperature is falling and it is just about at it's low peak again.
Answer:
9.8 Cubed
9.8 cubed, (9.8)3, is the number you get when multiplying 9.8 times 9.8 times 9.8.
It can also be looked at as exponentiation involving base 9.8 and exponent 3.
The term is usually pronounced 3rd power of 9.8 or 9.8 to the third power.
The cube of 9.8 is an imperfect cube because 941.192 is the product of the three equal numbers 9.8 which contain decimals.
It can be written as 9.8 × 9.8 × 9.8 or in exponential form.
Read on to learn everything about the number (9.8)³.
Number: 9.8
Number Cubed: 941.192
Step-by-step explanation:
hope this helps...
have a nice weekend...
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The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter.
Given that,
We have to find what is orthocenter.
We know that
<h3>What is Orthocenter?</h3>
The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter. It is the location in a triangle where the three angles of the triangle intersect. An orthocenter's three primary characteristics are as follows:
Triangle: A three-sided polygon with three edges.
A triangle's height is the line that runs between its vertices and perpendicular to the other side. A triangle can therefore have three heights, one from each vertices.
Vertex - A vertex is the intersection of two or more lines.
To learn more about orthocenter visit: brainly.com/question/19763099
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Full question:
Astudy of 31,000 hospital admissions in New York State found that 4% of the admissions
led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in
death, and one-fourth were caused by negligence. Malpractice claims were filed in one out
of 7.5 cases involving negligence, and payments were made in one out of every two claims
What is the probability a person admitted to the hospital is paid a malpractice claim (to decimals)
Answer:
Explanation:
Since 4% of admissions lead to treatment-caused injuries, we have 4/100×31000= 1240 treatment caused injuries for every 31000 people admitted
1/7 resulted in death = 1/7×1240= 177 people die for every 1240 treatment caused injuries
1/4 from negligence= 1/4×1240= 310 people get treatment caused injuries from negligence for every 1240 people
Malpractice claims in one of out of 7.5 cases of negligence= 13.3% of negligence cases= 0.1333×310= 41 claims for every 1240 people with treatment caused injuries
Payments were made in one out of every two claims, therefore payments for claims =50% of 41 cases of negligence= 21 payments(approximately) for every 1240 people with treatment caused injuries
Probability= number of favorable outcomes /total number of outcomes
Probability that a person admitted into the hospital will be paid a claim= 21/31000= 0.000677
