Step-by-step explanation:
S+T+U=180°{sum of angle of triangle}
- 68°+90°+U=180°
- U=180-158°
- U=22°
sin theta= p/h
sin22°=x/83
o.37=x/83
x=0.37×83
x=30.71
x=31
stay safe healthy and happy.
"Turn the two numbers into a fraction; place the number you want to turn into a percentage over the whole value. Convert the fraction into a decimal. Multiply the decimal by 100 to get the percent."
Answer:
The remainder is 0 ⇒ 3rd answer
Step-by-step explanation:
* In the synthetic calculation we use the coefficient of the dividend
with the value of x when the divisor = 0
∵ x - 1 = 0 ⇒ add 1 to both sides
∴ x = 1
Step 1 : Write down the coefficients of the f(x) , put x = 1 at the left
1 1 0 -1 1 -1
________________
Step 2 : Bring down the first coefficient to the bottom row.
1 1 0 -1 1 -1
________________
1
Step 3 : Multiply it by 1, and carry the result into the next column.
1 1 0 -1 1 -1
____ 1_________
1
Step 4 : Add down the column
1 1 0 -1 1 -1
____1__________
1 1
Step 5 : Multiply it by 1, and carry the result into the next column
1 1 0 -1 1 -1
_____1___1_______
1 1
Step 6 : Add down the column
1 1 0 -1 1 -1
____1___1______
1 1 0
Step 7 : Multiply it by 1, and carry the result into the next column
1 1 0 -1 1 -1
___1___1___0______
1 1 0
Step 8 : Add down the column
1 1 0 -1 1 -1
_____1____1__0_____
1 1 0 1
Step 9 : Multiply it by 1, and carry the result into the next column
1 1 0 -1 1 -1
____1____1___0___1___
1 1 0 1
Step 10 : Add down the column
1 1 0 -1 1 -1
____1____1___0___1___
1 1 0 1 0
∴ The quotient is (x³ + x² + 1 ) and the remainder is 0
* The remainder is 0
Answer:
Amy's car tank capacity is 16 gallons.
Step-by-step explanation:
Let the capacity of the tank be 'x'
Given:
Amount of gas in the car till it is refilled = 
Amount of gas added = 14 gallons.
We need to find the capacity of the tank.
Solution:
Now we can say that
Total Capacity of the tank is equal to sum of Amount of gas in the car till it is refilled and Amount of gas added.
framing in equation form we get;
Combining the like terms we get;
Now making the denominators common we will use L.C.M.
Now multiplying both side by 8 we get;
Now dividing both side by 7 we get;
Hence Amy's car tank capacity is 16 gallons.
Answer:
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
Step-by-step explanation:
Here,
The null hypothesis is p = 0.73
Alternate hypothesis is p> 0.73
The level of significance = 0.10 or 10%
Sample size = 23
Sample proportion = 19/23 = 0.826
Z test statistics
= (p’-p)/Sqrt ((p(1-p)/n))
Substituting the given values, we get –
Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037
Thus, the P values for Z>1.037
= 1- P(Z less than or equal to 1.037)
= 1- 0.8501
= 0.150
P-value is greater than the level of significance
We will accept the null hypothesis
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
