Answer:
46
Step-by-step explanation:
Solution :
Remember that the sum of complementary angles is always 90°.
First, finding the value of x :
Set up an equation :
( Being complementary angles )
Solve for x
{ Remove unnecessary parentheses }
{ Combine like terms }
{ Subtract 3 from 30 }
{ Move 27 to right hand side and change it's sign }
{ Subtract 27 from 90}
{ Divide both sides by 9 }
The value of X is 7°
Now, Replacing the value of x in order to find the value of B
{ Plug the value of x }
{ Multiply 7 by 7 }
{ Subtract 3 from 49 }
The measure of B is 46°
Answer:
186 beats per minute
Step-by-step explanation:
The maximum heart rate (r ) in beats per minute is modeled by the equation :
r = 220 - a ...(1)
Where
a is age of the person in years
If Sanchez age is, a = 34 years
Put a = 34 in equation (1)
r = 220 - 34
= 186 beats per minute
Hence, the maximum heart rate is 186 beats per minute.
Answer:
38 5/28
Step-by-step explanation:
Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.
Find the LCD (Least Common Denominator) of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)
LCD = 28
21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is
converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7
Applying the fractions formula for addition,
(99×7) + (94×4) / 4×7
= 693+376 / 28 =
= 1069/ 28
Simplifying 1069/28, the answer is
= 38 5/28
And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example
38 5/28.
28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!
Hope this helps! (sorry I took so long)
~R.C aka dj
Answer:
6 * squ 2
Step-by-step explanation:
squ 6 * squ 12 = squ 6*12 = squ 72 = squ 36 * 2 = 6 * squ 2
Answer:
Now we can find the p value. Since we have a bilateral test the p value would be:
Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
Do Not reject H0
Step-by-step explanation:
Information provided
n=200 represent the sample size slected
X=155 represent the cell phone owners used text messaging
estimated proportion of cell phone owners used text messaging
is the value to verify
represent the significance level
We need to conduct a z test for a proportion
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true proportion of cell phone owners used text messaging is different from 0.73 so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic to check this hypothesis is given by:
(1)
Replacing the data given we got:
Now we can find the p value. Since we have a bilateral test the p value would be:
Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
Do Not reject H0
