Answer:
1 quart blue + 1 1/2 quart red
Step-by-step explanation:
Given:
Ratio of blue paint : red paint = 1/3 : 1/2
simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:
(1/3) x (3x2) : (1/2) x (3x2)
2 : 3
From this we can determine the fractions of red and blue paint used in any total purple mix
fraction of blue paint = 2/(2+3) = 2/5 of purple mix
fraction of red paint = 3/(2+3) = 3/5 of purple mix
we are given that we want to make 2 1/2 (= 5/2) quarts of purple paint
hence
amount of blue paint
= fraction of blue paint in purple mix x total amount of purple paint
= (2/5) x (5/2) = 1 quart
amount of red paint
= fraction of redpaint in purple mix x total amount of purple paint
= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart
Use the distributive property to multiply 7(c+4)
then answer is 7c+28
Since the triangles make up a spinner, the triangles are isosceles.
The base is 2 cm and the perimeter is 10 cm.
The measure of the two legs can be determined from
2 + 2x = 10
Where is the length of the leg
Solving for x
x = 4
The area an isosceles is calculated using

where b is the length of the base
Substitute the values and multiply with the number of triangles in the spinner
Answer:
The 95% confidence interval for the population proportion is (0.778, 0.884).
Step-by-step explanation:
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.831.
The standard error of the proportion is:

The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 95% confidence interval for the population proportion is (0.778, 0.884).
<u>Answer:</u>

<u>Step-by-step explanation:</u>
The function
is defined as:

To calculate the value of
, we have to replace the
in the definition of
with -2:
= 
⇒ 
⇒ -96 - 15
⇒ -111