21.50 x 25 = 537.50
10.75 x 5 = 53.75
537.50 + 53.75 = 591.25
Answer:
x =5
Step-by-step explanation:
We can use ratios for the side lengths
9 x
--------- = -----------
9+18 x+10
Using cross products
9 (x+10) = x * (9+18)
Distribute
9x+90 = x*27
9x+90 = 27x
Subtract 9x from each side
9x-9x+90 = 27x-9x
90 = 18x
Divide each side by 18
90/18 = 18x/18
5 =x
Answer:
first, you can go to the doctor
Step-by-step explanation:
Answer:
a) lower limit = 4.295 minutes
b) upper limit = 6.365 minutes
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 5.33 minutes
Standard deviation r = 1.33 minutes
Number of samples n = 11
Confidence interval = 99%
z(at 99% confidence) = 2.58
Substituting the values we have;
5.33+/-2.58(1.33/√11)
5.33+/-2.58(0.401010088288)
5.33+/-1.0346060277
5.33+/-1.035
= ( 4.295, 6.365) minutes
Therefore at 99% confidence interval (lower, upper limit) = ( 4.295, 6.365) minutes
a) lower limit = 4.295 minutes
b) upper limit = 6.365 minutes
Answer: 9 and 3/7
Step-by-step explanation: To multiply a mixed number by a mixed number, we first want to write each mixed number as an improper fraction.
We can write a mixed number as an improper fraction by multiplying the denominator by the whole number and adding the numerator.
We can change 
to the improper fraction 30/7.
We can also change 
to the improper fraction 11/5.
Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators. When we multiply these fractions, we will end up with the fraction 330/35. Since 330/35 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 330 and 35 which is 5 and we will get the improper fraction 66/7.
Notice however that 66/7 can be changed into a mixed number by dividing the denominator which is 7 into the numerator which is 66.
66 divided by 7 equals 9 with a remainder of 3 so we can write 66/7 as the mixed number 9 and 3/7.
Therefore, 4 and 2/7 × 2 and 1/5 = 9 and 3/7
