Answer:
it will be 199.00 dollors you have to spend
Step-by-step explanation:
899.00-70
Condense to a single logarithm: 4 log9 11 - 4 log9 7.
O log9, (44/28)
O log9, (11/7)^4
O log9, (11/28)
log9 (44/7)
Answer: Log9,(11/7)^4
Step-by-step explanation:
according to the rules of logarithm
1)Subtraction sign(-) becomes division(÷),while addition(+)becomes multiplication (x)
2) the number in front of the log figure becomes an indices
Answer:
log9 (11/7)4
Step-by-step explanation:
got it right on the test
Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible
select 3 names for the angle.
A magazine includes a report on the energy costs per year for32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.42 . Assume the sample is taken from a normally distributed population. Construct 98 % confidence intervals for (a) the population variance sigma squared and (b) the population standard deviation sigma .
Interpret the results. (a) The confidence interval for the population variance is (___,___ ). (Round to two decimal places as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98 % confidence, you can say that the population variance is less than ___.
B. With 2 % confidence, you can say that the population variance is between nothing and ___ .
C. With 98 % confidence, you can say that the population variance is between ___ and ___ .
D. With 2 % confidence, you can say that the population variance is greater than ___
(b) The confidence interval for the population standard deviation is (n___,___). (Round to two decimal places asneeded.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
B. With 98% confidence, you can say that the population standard deviation is greater than ___ dollars per year.
C. With 2% confidence, you can say that the population standard deviation is less than ___ dollars per year.
D. With 2% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
Answer:
a
The confidence interval for the population variance is [tex] 5.49 < \sigma^2 < 37.02 [/tex]
The correct option is C
b
The confidence interval for the population standard deviation is [tex] 2.34 < \sigma < 6.08 [/tex]
The correct option is A
Step-by-step explanation:
From the question we are told that
The sample size is n = 14
The standard deviation is [tex]s = \$3.42[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 14 -1[/tex]
=> [tex]df = 13 [/tex]
Given that the confidence level is 98% then that level of significance is
[tex]\alpha = (100 -98) \%[/tex]
=> [tex]\alpha = 0.02[/tex]
Generally the 98% confidence interval for the variance is mathematically represented as
[tex]\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}} < \sigma^2 < \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}[/tex]
=> [tex]\frac{(14- 1) (3.42)^2}{x^2 _{[\frac{0.02 }{2} , 13]}} < \sigma^2 < \frac{(14- 1) (3.42)^2}{x^2 _{[1- \frac{0.02 }{2} , 13]}}[/tex]
From the chi -distribution table
[tex]x^2 _{[1- \frac{0.02 }{2} , 13]} = 4.107[/tex]
and
[tex]x^2 _{[\frac{0.02 }{2} , 13]} = 27.689[/tex]
So
=> [tex]\frac{(14- 1) (3.42)^2}{27.689} < \sigma^2 < \frac{(14- 1) (3.42)^2}{4.107}[/tex]
=> [tex] 5.49 < \sigma^2 < 37.02 [/tex]
Generally the 98% confidence interval for the standard deviation is mathematically represented as
[tex]\sqrt{\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}} < \sigma <\sqrt{ \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}}[/tex]
=> [tex]\sqrt{5.49} < \sigma < \sqrt{37.02 }[/tex]
=> [tex] 2.34 < \sigma < 6.08 [/tex]
Does anyone know this answer
Tara's website, verdantveggies.com, specializes in the sale of rare or unusual vegetable seeds. Tara sells packets of sweet-pepper seeds for $2.85 each and packets of hot-pepper seeds for $4.29 each. She also offers a 16-packet mixed-pepper assortment combining packets of both types of seeds at $3.30 per packet. How many packets of each type of seed are in the assortment?
Answer:
Let's define the variables:
S = # of sweet pepper seeds in the mix pack.
H = # of hot pepper seeds in the mix pack.
Let's suppose that $3.30 is the mean price of the seeds in the mix pack.
Then we have two equations:
S + H = 16.
(S*$2.85 + H*$4.29)/16 = $3.30
Now let's solve this system.
The first step is isolating one variable in one of the equations, i will isolate S in the first equation.
S = 16 - H.
Now we can replace this in the second equation, and solve it for H.
( (16 - H)*$2.85 + H*$4.29)/16 = $3.30
( (16 - H)*$2.85 + H*$4.29) = $3.30*16 = $52.80
$45.60 + H*$1.44 = $52.80
H*$1.44 = $52.80 - $45.60 = $7.20
H = $7.20/$1.44 = 5
Then in the mix pack there are 5 hot-pepper seeds.
And the other 11 must be sweet-pepper seeds
Algebraic equations are equations that contain unknown variables.
The number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.
Let's represent:is
The number of packets of sweet-pepper seeds = s
The number of packets of hot-pepper seeds = h
Based on this question, our system of equations are:
$2.85 x s + $4.29 x h = $3.30(16)
2.85s + 4.29h = 52.8...........Equation 1
s + h = 16...........Equation 2
s = 16 - h
We substitute 16 - h for s in Equation 1
2.85(16 - h) + 4.29h = 52.8
45.6 -2.85h + 4.29h = 52.8
Subtract 45.6 from both sides
45.6 - 45.6 -2.85h + 4.29h = 52.8 - 45.6
1.44h = 7.2
h = 5
There are 5 hot-pepper seeds in the assortment.
Solving for the number of sweet-pepper seeds.
s = 16 - h
s = 16 - 5
s = 11
There are 11 sweet-pepper seeds in the assortment.
Therefore, the number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.
To learn more, visit the link below:
brainly.com/question/12978834
Divide: 3/8 ÷ 5/12 = ?
flip 5/12 to be 12/5 to make this equation multiplication
3/8*12/5 = 36/40 = 18/20 = 9/10
The solution of expression is,
⇒ 9 / 10
We have to given that;
To Divide,
⇒ 3/8 ÷ 5/12
Now, We can divide the numbers as;
⇒ 3/8 ÷ 5/12
⇒ 3/8 × 12/5
⇒ 36 / 40
⇒ 18/20
⇒ 9 / 10
Thus, The solution of expression is,
⇒ 9 / 10
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
3.89×10^9 in standard form
Answer:
3890000000
Step-by-step explanation:
|-9×+7|+8 is less than or equal to 9
Answer:
I don’t think it’s neither less than it equal
Step-by-step explanation:
I could be wrong don’t listen to me :)
There are two squares.
The larger square has an area of 1,089 square feet and the smaller square has an area of 121 square inches.
What is the scale factor between the two squares?
(A) 3
B
6
12
D 36
Answer:
It is 3
Step-by-step explanation:
Answer:
It is 3
Step-by-step explanation:
f(x) = x + 7, g(x) = x - 7
(a) (f + g)(x) =
(b) (f-g)(x)=
(c) (fg)(x)=
(d) (f/g)(x)=
a) 2x
b) 14
c) x^2 -49
d) -1
Given the equation 5(-2x -10) = 25(x + 1), solve for the value of x that will make the equation true.
Answer:
Step-by-step explanation:
5(-2x -10) = 25(x + 1)
-10x - 50 = 25x + 25
by transposing
-10x - 25x = 25 + 50
-35x = 75
x = -75/35
x = 15/7
or 2.142857..... in decimal
Hope this helps
plz mark as brainliest!!!!!!!
How do you solve this question
/
Answer:
5/18
Step-by-step explanation:
Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...
-4 x -5 = 20 (when you multiply two negatives, it makes a positive)
9 x 8 = 72
20/72 simplifies to 5/18.
Hope this helps!! Have a wonderful day C:
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither Hint(use slope formula)
Express 7.409 in word form.
Which correctly solves the equation ab+c=d solve for b.
Answer:
b=(d-c)/a
Step-by-step explanation:
Just gotta switch them around a bit
Plz do fast I need it for a test The front view of a tent is.shown below if a zipper.is going to be put in along the length x how long should the.zipper be
Answer:
x=15ft
Step-by-step explanation:
a^2+b^2=c^2
8^2+b^2=17^2
b^2+64=289
b^2=225
b=15
32 students play basketball and 25 Students play
volleyball . It is found that 13 students play both
games. Find the number of students playing at least
one game
dotos numbers Sets
n
و
Answer:
44 students
Step-by-step explanation:
Given parameters:
Number of students playing basketball = 32
Number of students playing volleyball = 25
Number of students playing both = 13
Unknown:
Number of students playing at least one game = ?
Solution:
Let us first find the number of students that play basketball only and volleyball only.
Number of students playing basketball only = 32 - 13 = 19
Number of students playing volleyball only = 25 - 13 = 12
So,
Least number of students that play at least one game = number of students that plays basketball only + number of students that plays volleyball only + number of students that plays both;
= 19 + 12 + 13
= 44 students
I'm doing sine, cosine, and tangent and I don't know what an opposite is in the triangle so if anyone can explain it in the most simple terms possible, that'd be great
Step-by-step explanation:
okay so basically when you have a triangle, the side that is directly across from the angle you are looking for is the "opposite". here is an attachment.
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:
Temperature (degrees Celsius) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
a. The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: _____ (Use decimal notation. Give your answer to four decimal places.)
b. Use the equation to predict (
±
0.01) beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.
c. What percent (
±
0.01) of the variation in beak heat loss is explained by the straight-line relationship with temperature?
d. Find the correlation r (
±
0.001) between beak heat loss and temperature.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
Using an online regression calculator ; the regression equation obtained is :
ŷ = 2.0927X + 0.6029
X = independent variable
Y = predicted variable
2.0927 = slope
0.6029 = intercept
B.) temperature = 25
ŷ = 2.0927(25) + 0.6029
= 52.9204
C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient
0.8785² = 0.7718
D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator
3g+5
(g-1)(g+6) for g = 3
answer as reduced fraction
please help omg im dying
Answer:
[tex] \frac{7}{9} [/tex]
Step-by-step explanation:
it seems like you're asking what the solution of each equation is put into a fraction
so, putting in 3 for g gives you
[tex]3(3) + 5 = 14[/tex]
which then goes over
[tex]((3) - 1 = 2)((3) + 6 = 9) = 18[/tex]
which gives
[tex] \frac{14}{18} [/tex]
however, this can be reduced to
[tex] \frac{7}{9} [/tex]
because both 14 and 18 can be divided by 2.
8) There are 6 cups of sugar in 5 batches of cookies. How many cups are in 1 poin
1 batch?
Answer:
6/5 cupsStep-by-step explanation:
[tex]6 \:cups = 5\:batches\\x\:cups = 1\:batch\\\\Cross\:Multiply\\\\5x = 6\\\\Divide\:both\:sides\:of\:the\:equation\:by\:5\\\\\frac{5x}{5} =\frac{6}{5} \\\\x = 1\frac{1}{5}[/tex]
The correct Standard Form of the equation y=−2/7x−11/7
Answer:
y=-(2)/(7)x-5
Step-by-step explanation:
HURRY PLEASE HELP
What is the approximate distance from the origin to the point (−10, −4, 5)? Round to the nearest tenth. 4.4 units 10.4 units 11.9 units 19.0 units
The answer is 11.9 units
First you must set up the distance formula.
[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]
Then, simplify like terms.
[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]
Next, simplify exponents.
[tex]\sqrt{100+16+25}[/tex]
Then, add like terms.
[tex]\sqrt{141}[/tex]
Finally, round to the nearest tenth.
11.9
An avant-garde clothing manufacturer runs a series of high-profile, risque ads on a billboard on Highway 101 and regularly collects protest calls from people who are offended by them. The company has no idea how many people in total see the ad, but it has been collecting statistics on the number of phone calls from irate viewers:
Answer and Step-by-step explanation:
Please find attached
The left and nght page numbers of an open book are two consecutive integers whose sum is 447. Find these page numbers
Answer:
223 and 224
Step-by-step explanation:
Divide 447 by 2. It gives a decimal of 223.5, but obviously you don't have half pages. So the page number would be 223 and 224.
Answer:
223,224
Step-by-step explanation:
page 1-x
page 2-x+1
2x+1=447
2x=446
x=223
page 1=223
page 2=224
Brainliest is Very Appreciated!
slope = 3/2, (2,7) is on the line
Answer:
The answer would be 4.5
If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?
Answer:
2 mi per hour
Step-by-step explanation:
1/3*6=
6/3= 2
2 mi per hour
Answer:
2mph
Step-by-step explanation:
If a person walks 1/3 of a mile every 1/6 of an hour you divide to solve.
[tex]\frac{\frac{1}{3}}{\frac{1}{6}}[/tex] To solve you flip the bottom and multiply:
[tex]\frac{1}{3} *\frac{6}{1}[/tex] = [tex]\frac{6}{3} = 2[/tex]
The person is walking 2mph
Find both the greatest common factor and the least common multiple of 24 and 30.
Answer:
24 = 2, 3 , 4, 6, 8, 12, 24
30 = 2, 3, 5, 6, 10, 15, 30
Step-by-step explanation:
Least common for both is 2
Greatest common factor for both is 6
Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answer: 157.19
Step-by-step explanation: