Answer:
80
Step-by-step explanation:
f(x)= 10(6-x) original equation
y= 10(6-(-2) plug in variable
y= 10 (6+2) simplify
y= 10(8)
y= 80
what is the relationship between angle BAC and angle CAD and angle DAB? Express your answer in geometric terms.
Answer:
∠BAC and ∠CAD are congruent, and m∠DAB is the sum of m∠BAC and m∠CAD.
Step-by-step explanation:
Answer:
∠BAC and ∠CAD are congruent, and m∠DAB is the sum of m∠BAC and m∠CAD.
Step-by-step explanation:
Exact answer for edmentum
What is this slope ?
what is the largest exponent in a polynomial
degree
The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient. The constant in a polynomial has no variable written next to it.
Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.\
Complete Question
Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.
a
State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.
b
What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?
c
Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?
Answer:
a
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
b
in 2012 [tex]\r p_1 =0.41[/tex]
in 2010 [tex]\r p_2 =0.35[/tex]
c
The p-value is [tex]p-value = 0.0072 [/tex]
The conclusion is
There is sufficient evidence to conclude that the proportion of those indicating that financial security is more fair in Feb 2010 is different from the proportion of those indicating that financial security is more fair in Feb 2012.
Step-by-step explanation:
From the question we are told that
The sample size in 2012 is [tex]n_1 = 1000[/tex]
The number that indicated that their finance was more than fail is k = 410
The sample size in 2010 is [tex]n_2 = 900[/tex]
The number that indicated that their finance was more than fail is u = 315
The level of significance is [tex] \alpha = 0.05[/ex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
Generally the sample proportion for 2012 is mathematically represented as
[tex]\r p_1 = \frac{k}{n_1}[/tex]
=> [tex]\r p_1 = \frac{410}{1000}[/tex]
=> [tex]\r p_1 =0.41[/tex]
Generally the sample proportion for 2010 is mathematically represented as
[tex]\r p_2 = \frac{u}{n_2}[/tex]
=> [tex]\r p_2 = \frac{315}{900}[/tex]
=> [tex]\r p_2 =0.35[/tex]
Generally the pooled sample proportion is mathematically represented as
[tex]\r p = \frac{k + u }{n_1 + n_2}[/tex]
=> [tex]\r p = \frac{410 + 315 }{1000+ 900}[/tex]
=> [tex]\r p = 0.3816 [/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{( \r p_1 - \r p_2 ) - 0}{\sqrt{\r p (1 - \r p ) ( \frac{1}{n_1} +\frac{1}{n_2} )} }[/tex]
[tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]
[tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]
[tex]z = 2.688[/tex]
Generally the p- value is mathematically represented as
[tex]p-value = 2 P(Z >2.688 )[/tex]
From the z -table
[tex]P(Z > 2.688) = 0.0036 [/tex]
So
[tex]p-value = 2 *0.0036 [/tex]
[tex]p-value = 0.0072 [/tex]
So from the p-value obtained we see that p-value < [tex]\alpha[/tex] so we reject the null hypothesis
Thus there is sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.
Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 9
units in the drawing.
Scale:
10 cm
length
A
What is the length, in cm, of the actual hotdog?
cm
The length of the actual hotdog comes to be 15cms.
What is a scale factor?A scale factor is a ratio between corresponding measurements of an object and a representation of that object.
From the diagram
6 units = 10cm
So, 1 unit =10/6 cm
The length of the hotdog shown in the graph = 9 units
So, 9 units = 9*(10/6)
9 units = 15cms
So, the actual length of the hotdog =15cms
Thus, the length of the actual hotdog comes to be 15cms.
to get more about scale factors visit:
https://brainly.com/question/1903243
Calculate (2.2 x 10^2 g^3) (2.8 x 10^3 g) put it into standard notation please
Answer:
5
Step-by-step explanation:
The Fridinger's have a dinner bill of $56.50 and pay an 18% tip. The Anderson's have a dinner bill of $44.20 and pay 24% tip. Which family paid more money for their tip?
Tina won a prize of £1000 000 She spent £40 000 on a new car Then she spent half the money left on a house How much did Tina spend on the house?
Answer:
480,000
Step-by-step explanation:
1,000,000 - 40,000 = 960,000
960,000 divided by 2 is 480,000
Answer:the answer is
Step-by-step explanation:
How many solutions does this equation have?
-9s + 9 = -8s
help
Answer:
1 solution.
Step-by-step explanation:
Step 1: Write equation
-9s + 9 = -8s
Step 2: Solve for s
Add 9s to both sides: 9 = sRewrite: s = 9Step 3: Check
Plug in s to verify it's a solution.
-9(9) + 9 = -8(9)
-81 + 9 = -72
-72 = -72
Answer:
one solution s=9
Step-by-step explanation:
-9s + 9 =-8s, add 9s on both sides
+9s +9s
-------------------
9=s
Which of the following inequalities is not true
PLEASE ANSWER ASAP
-2^2 < 3
and
-1 > 0
Both are false
Answer: |-9| is not equal to |9| is not true. This is because |-9| is 9 and so is |9|.
what is AC?
is it
A. 4
B.7.5
C 5
D. 3
Step-by-step explanation:
your answer is C 5. also to find the answer by yourself get a ruler then measure the big one then the little one in mm. Then you can check how much larger they are then each other. In this case it is dilated to be twice the size. you call tell in this case by looking at the measurements it already gives you as you can see they both have the same labeled side, 3 and 6. 3 times 2 = 6 therefore it's twice the size
Answer:The awnser Is letter C Number 55
Step-by-step explanation:
A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?
A. 15.15 oz to 16.00 oz
B. 15.85 oz to 16.00 oz
C. 15.85 oz to 16.15 oz
D. 16.15 oz to 16.45 oz
Answer:
It's C
Step-by-step explanation:
took the test
Answer:c
Step-by-step explanation:
If e^5x = k, where k is any positive number, then what is the value of x?
A. lnk/ln5
B. ln(k/5)
C.1/5*ln k
D. 5 * 1/ln k
[tex]e^{5x}=k\implies\ln(e^{5x})=\ln(k)\implies\boxed{x=\ln(k)/5}[/tex]
Hope this helps.
I need answers ASAP!!!!
5^-13*5^5*2^5
Answer:
8.192x10^-5 or 32/5^8
Step-by-step explanation:
Answer:
the answer is 32/390625
Step-by-step explanation:
the decimal form is 8.192*10^-5
Answer question 1-15 by 6pm
Answer:
Step-by-step explanation:
It is not really a question we can help you with you have to draw shapes for each 3 letters
Solving Inequalities
-6x+2>20
Answer:
first you subtract 2 from both sides
-6x>18
then you divide
-6 by 18 which is -3 and since you divided with a decimal that flips your sign so your answer is X<-3
Answer:
x<-3
Step-by-step explanation:
First, write the equation and subtract 2 on both sides.
-6x+2>20
-2 -2
-6x>18
Divide both sides by -6.
-6x>18
/-6 /-6
x<-3
(Remember, we have to flip the sign when multiplying or diving by a negative.)
Hope this helps! Have an amazing day C:
The skating rink charges $100 to reserve the place and then $5.50 per person. Write an algebraic expression.
Answer:
y=5.5x+100
Step-by-step explanation:
since the $5.50 is your variable, you set that to the x value, and 100 to reserve is your y intercept because it is constant.
distance between -6.5 and -9.1 show work pls
Answer:
2.6 is the distance
Step-by-step explanation:
9.1 - 6.5 = 2.6
#
Problem
Use
Answer
1.
9(-5n + 40)
c = 2 and n = 8
Answer:
9(-5n + 40) , c = 2 and n = 8
9[(-5)(8) + 40] - substitute n
9(-40 + 40) - solve parenthesis
9(0) - solve parenthesis again
9 - answer
Step-by-step explanation:
It takes Caroline 1/5 of an hour to walk a mile. Four of Caroline's friends time themselves on their own walk of different lengths. Which friend is walking at the same rate as Caroline? *
0/1
Captionless Image
Answer:
Please comment the image, it won't load.
Step-by-step explanation:
Transformation of functions
Tell whether the statement is always, sometimes, or never true.
The LCM of two different prime numbers is their product.
The statement is
true.
if the radius of a ball is 8 cm then calculate its area
Answer: 804.25 cm sq.
Step-by-step explanation:
A = 4 π r^2
A = 4 π 8^2
A = 4 π 64
A = 804.25 cm sq.
You operate a fresh fruit and vegetable market. For normal shipments, about 9.0% of the peaches are spoiled when they reached your market. You anticipate a busy weekend and would like to have 100 pounds of peaches to sell. To have 100 pounds of peaches and considering the spoilage rate, how many pounds should you order?
Answer:
110 pounds of peaches should be ordered
Step-by-step explanation:
Here, we want to calculate the number of pounds of peaches to order.
Let the number of peaches to ordered be x peaches
Now, since 9% is expected to be bad, then the percentage expected to be good will be 91%
Thus;
91% of x = 100
91/100 * x = 100
91x = 100 * 100
x = 10000/91
x = 109.89
Since we cannot have fractional peaches, then x must be 110
What is the Product of Roots of 2x^2+4x+7=0?
Answer:
[tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ), then
the product of the roots = [tex]\frac{c}{a}[/tex]
2x² + 4x + 7 = 0 ← is in standard form
with a = 2, c = 7 , thus
product of roots = [tex]\frac{7}{2}[/tex]
Answer:
x=[tex]\frac{-2±\sqrt[i]{10} }{2}[/tex]
Step-by-step explanation:
pls ignore the "A" after -2! i hope this helps <3
Find the next term of the square 16,9,2,-5....
Answer:
- 12
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
9 - 16 = 2 - 9 = - 5 - 2 = - 7
Thus to find the next term subtract 7 from the previous term, that is
- 5 - 7 = - 12
A car and a bus which are 280 miles apart are driving towards each other. The car is moving at 50 mph while the bus is moving at 55 mph. How long will it take them to meet?
Answer:
2.6667 hours
Step-by-step explanation:
Given that:
Distance between car and bus = 280 miles apart
What le moving towards each other ;
Speed of car = 55 mph
Speed of bus = 50 mph
Time it will take them to meet;
Time = distance / speed
Hence :
Total distance to be covered = 280 miles
Total speed = (55mph + 50 mph) = 105 mph
Hence ,
Time = 280 miles / 105 mph
Time = 2.667 hours
2 hours, (0.667 * 60 = 40.02
2 hours, 40 minutes
Answer:
2.6667
Step-by-step explanation:
HELP PLEASE THIS IS MY LAST QUESTION OF THIS TEST AND I LITERALLY DONT KNOW WHAT TO DOOO!
Answer:
Complementary!!!
Step-by-step explanation:
how do you write 2/11 as a decimal using long division
Answer:
0.18
Step-by-step explanation: Converting the fraction 2/11 into a decimal is very easy. To get 2/11 converted to decimal, you simply divide 2 by 11.
Answer:
About 0.18
Step-by-step explanation:
Divide 2 by 11
write 25 x 10 to the power of 6 in standard form
Answer:
2.5 10 to the power six i guess i didnt do this for a point so plz if somebody is going to dlt this answer then please dont do this
Step-by-step explanation:
Answer:
25 x 10 = 250 x 250 x 250 x 250 x 250 x 250= 25000000
thats your answer
Step-by-step explanation:
