Answer:
A. 25°C
Step-by-step explanation:
C=5/9(77-32)
C=5/9(45)
C=25°C
To convert from Celsius to Fahrenheit. We apply the following formula:
We substitute the number 77 where the Fahrenheit degrees are, and we are left with the following form.
So 77 Fahrenheit, on the Celsius scale is 25.So the correct alternative is option "A".
The arithmetic sequence is a concept of algebra and in given sequence 24, 16, 8, 0 the next term is, -8
In the arithmetic sequence the common difference remains constant between any two consecutive terms. In this sequence we can get the next term by adding one fixed value which is known as a common difference. It is also known as arithmetic progression(AP).
Formula for anyterm in AP,
T = a + (n-1)d
d = T₂-T₁
Where, a is first term , n is term and d is common difference
Given sequence,
24, 16, 8, 0
a = 24
n = 5
d = 16-24 = -8
T₅ = 24 +( (5-1)×(-8))
T₅ = -8
Hence, term of sequence is -8
To know more about arithmetic sequence check:
#SPJ2
Answer:
-8
Step-by-step explanation:
The term-to-term rule is -8.
16 - 24= -8
8 - 16 = -8
0 - 8 = -8
Answer:
-60.
Step-by-step explanation:
Let the unknown number be x.
Number is increased by 26 = x+26
Then result is tripled = 3(x+26)
Then the result is increased by 72 = 3(x+26)+72
Final result is of the number =
Isolate variable terms.
Multiply both sides by 2.
Divide both sides by 5.
Therefore, the required number is -60.
The last glass is not full. How much lemonade is in the
last glass?
Answer:
4 ounces
Step-by-step explanation:
We're looking for the remainder of ounces.
To find how many FULL glasses will be made, we divide 8 by 164 and look at the integer part of the number.
So 2 full glasses were made.
To find the remainder, we multiply 20 by 8 and subtract from 164.
Hope this helped!
Answer:
4 ounces
Step-by-step explanation:
If you divide the 164 ounces by the 8 ounces per glass, you get 20.5 glasses filled. So, half of the last glass would be 4.
Answer:
20%
Step-by-step explanation:
The reason it is 20% is due to the fact that if you put it in a form showing 250/250 = 100/100 and put another proportional rate underneath it showing 200/250 = x/100, you would have to multiply the numerator of the fraction on the left by the denominator of the fraction on the right to get 20000. Now you divide 250 from 20000 and get x for 80, resulting in 80/100 or 80%. All you have to do now is subtract 100-80, which equals 20, resulting in 20%.
Hope that helps!! It's my first time in answering so, ya. ;D goodluck!
Answer:
y = -4x + 50
Step-by-step explanation:
To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:
y = mx + 50
To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:
14 = m(9) + 50
Now let's solve for m:
14 = 9m + 50
Subtract 50 from both sides to isolate the 9m:
14 - 50 = 9m + 50 - 50
- 36 = 9m
divide both sides by 9 to isolate the m:
-36/9 = 9m/9
-4 = m
The boat moves at -4 km/minute, which is the same thing as saying that after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:
y = -4x + 50
Answer:
List all of the solutions.
50km=
9minutes=
14km=
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: mark obtained in an aptitude test by a candidate.
This variable has a mean μ= 128.5 and standard deviation σ= 8.2
You have the data of three scores extracted from the pool of aptitude tests taken.
148, 102, 152
The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134
An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.
Using the mean and the standard deviation, an outlier is any value that is three standard deviations away from the mean: μ±3σ
Using the population values you can calculate the limits that classify an observed value as outlier:
μ±3σ
128.5±3*8.2
(103.9; 153.1)
This means that any value below 103.9 and above 153.1 can be considered an outlier.
For this example, there is only one outlier, that this the extracted score 102
I hope this helps!