Answer:
It should be 13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Since 5 is positive and 8 is negative, then you can just add the two.
5 + 8 = 13
Or use the distance formula:
Distance = [tex]\sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} - y_{1})^{2} }}\\\\\sqrt{(7 -7) ^{2} + (5 - (-8)) ^{2}}\\\\\sqrt{0 + 169} \\\\Approximately 13\\[/tex]
In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?
Answer: [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]
Step-by-step explanation:
Given: Sample size: n = 41
Sample mean [tex]\overline{x}= 29.7[/tex] degrees
Population standard deviation [tex]\sigma=2.7[/tex] degrees
Confidence level (c) = 80% =0.80
Significance level (a) = 1- c = 1-0.80 = 0.20
z-score for 80% confidence level : z = 1.2816 [from z-table]
Confidence level for population mean :-
[tex]\overline{x}\pm z\dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{\sqrt{41}}[/tex]
[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{6.403124}[/tex]
[tex]=29.7\pm ( 1.2816)(0.42167)[/tex]
[tex]=29.7\pm 0.5404[/tex]
[tex]=(29.7-0.5404,\ 29.7+0.5404)[/tex]
[tex]=(29.1596,\ 30.2404)[/tex]
Hence, 80% confidence interval for the temperatures in the freezer [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]
Which of the following shows the prime factorization of 72 using exponential notation?
The prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].
It is required to find the prime factorization of 72.
What is a prime factorization ?Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization.
Given that:
The prime factorization for 72 is
=2×2×2×3×3 .
=[tex]2^{3} *3^{2}[/tex]
Hence, the prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].
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which is greater 0.45 or 9/10???
Answer:
9/10 bc it would be .90 in decimals
Step-by-step explanation:
Answer:
9/10 is
Step-by-step explanation:
9/10 as a decimal is 0.9 and if you line them up, 0.9 is greater than 0.45
Supervisor: “Your bonus will be 7% of your sales revenue.” Employee: “My sales revenue is $8,327, so my bonus will be __________.”
Answer:
$586.04 is your answer
What is the difference between the two hotel rates per night?
A $26 per night
B $28 per night
C $298 per night
Answer:
3
Step-by-step explanation:
What is the height of the triangle? Please mark me brainlest
Answer:
It's 3 square units.
Count the "squares" and you get 3 and it's not real units so It's called "Square units".
:)
Answer:
no figures
Step-by-step explanation:
to work with and the answer is can't be determined
Solve the following system of equations.
y = 12 - 5x
2x + 3y = 11
what is the first step in evaluating the expression below ? 3x{9-(4+2)÷2}
Which diagram best shows how fraction bars can be used to evaluate 1/2 ÷ 1/4
A: 2/4
B:2
C:1/2
D:1/2
Answer:
B
Step-by-step explanation:
I need help ASAP it’s compound interest and I’m not very good at it
Answer:
Part B:
5) She will have $4445.244256 in 3 years
Part C:
1) She will have $8081.130039 in 10 years
2) He will have $13360.55059 in 8 years
Step-by-step explanation:
The formula of the compound interest is A = P [tex](1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the initial amountr is the rate in decimaln is the number of the periodt is the time in yearsPart B:
5)
∵ P = $4250
∵ r = 1.5% = 1.5 ÷ 100 = 0.015
∵ n = 4 ⇒ Compounded quartly
∵ t = 3 years
→ Substitute them in the formula above
∴ A = 4250 [tex](1+\frac{0.015}{4})^{4(3)}[/tex]
∴ A = 4250 [tex](1.00375)^{12}[/tex]
∴ A = 4445.244256
∴ She will have $4445.244256 in 3 years
Part C:
1)
∵ Grace deposits $6000
∴ P = 6000
∵ The account is compounded semi-annually at 3%
∴ r = 3% = 3 ÷ 100 = 0.03
∴ n = 2 ⇒ compounded semi-annually
∵ The time is 10 years
∴ t = 10
→ Substitute them in the formula above
∴ A = 6000 [tex](1+\frac{0.03}{2})^{2(10)}[/tex]
∴ A = 6000 [tex](1.015)^{20}[/tex]
∴ A = 8081.130039
∴ She will have $8081.130039 in 10 years
2)
∵ Danial opens an account that is compounded semi-annually at 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∴ n = 2 ⇒ compounded semi-annually
∵ He deposits $9000
∴ P = 9000
∵ The time is 8 years
∴ t = 8
→ Substitute them in the formula above
∴ A = 9000 [tex](1+\frac{0.05}{2})^{2(8)}[/tex]
∴ A = 9000 [tex](1.025)^{16}[/tex]
∴ A = 13360.55059
∴ He will have $13360.55059 in 8 years
identify a value k that makes (x+5) a factor of x^3+kx^2-x+45
will mark brainliest
Answer:
We should attempt synthetic division to find when
x
3
−
k
x
2
+
2
k
x
−
15
x
−
3
has a remainder of
0
, which would signify that it is a factor of the polynomial.
The synthetic substitution would be set up as:
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
−−−
−−−
−−−
|
0
Treating the synthetic division like any other synthetic division problem, we see that
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
3
−−−−−−−−
−
3
k
+
9
−−−−−−−−
−
3
k
+
27
−−−−−−−−−
1
−
k
+
3
−
k
+
9
|
0
If the remainder equals
0
, then we know that
−
3
k
+
27
+
(
−
15
)
=
0
Solve this to see that
k
=
4
.
Thus,
(
x
−
3
)
is a factor of
x
3
−
4
x
2
+
8
x
−
15
.
What is the ratio of frosted cookies to non-frosted cookies?
Answer:
27:9
Step-by-step explanation:
Indicate the answer choice that best completes the statement or answers the question
Determine whether each table represents a linear or a nonlinear function.
b
0
12
4
18
16
38
16
Answer:
I also think b one is correct
franciso makes $12 per hour doing part-time work on saturdays
Francisco is probably a beaner or mongrel with no business working or even existing in a white nation.
b) Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain. (2 points)
30% OFF EACH SHEET!
30% OFF EACH SHEET!
Answer:
30= 20 so, that’s 10 dollars of
1o+ 7. 5=17. 5+10=27 .50
Step-by-step explanation:
I took the test hope this helps
find the multiplicative inverse of -2 in mod 7
Answer:
So something mod 7 is -2Lets consider what mod does as a commands: If you have 7 and then mod it by 2 ie 7%2 you get 1 Essentially mod is seeing how many times a # goes into the other number and finding the remainder. In this case we want the remainder of 2: -8%3 =-2note there is also a mathematical procedural way to solve this.Rate positively and give brainlistThe force of gravity affects the mass of an object. True or False
Step-by-step explanation:
True
and the more mass the object had the greater gravitational force it is
P. S my opinion
Decide, for each of the statements below, if they are true or false. a) We use bootstrap distributions as a tool to calculate p-values b) The spread of the bootstrap distribution resembles the spread of the sampling distribution c) Each bootstrap statistic is calculated from a bootstrap sample formed by drawing an entirely new sample from the population
Answer:
a) True
b) True
C) false
Step-by-step explanation:
just a guess..... Merry Christmas
One way to find the total cost of a jacket for $55 with a sales tax of 2%
Answer:
cost of jacket 55
sales tax 2/
55/ 2 percent × 100
2,750
Which of the following shows the integers in order from least to greatest?
3, -2, 0,-1,-5
0,-1,-2, 3, -5
-1, -2, -5,0,3
-5, -2,-1,0,3
Od
Answer:
I think
Step-by-step explanation:
-5,-2,-1,0,3 that is definitely my answer
Answer:
the last one
Step-by-step explanation:
......
...
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree
Answer:
30° is one of the degree measures of the angles.
Hence, option (A) is true.
Step-by-step explanation:
Let 'x' be the degree measure of the first angle.Given that the degree measure of one of two complementary angles is twice that of the other.
Thus, the other angle = 2xComplementary angles
We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.Thus the equation becomes
x + 2x = 90°
3x = 90°
Divide both equations by 3
3x/3 = 90°/3
x = 30°
Therefore, 30° is one of the degree measures of the angles.
Hence, option (A) is true.
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
Answer :A.) 30 degrees
Solution :Let one angle = x
According to statement,
Another angle = 2 × first angle
[tex] \sf : \implies Another \: angle = 2x[/tex]
Now, we know that sum of complementary angles is 90°
Hence,
[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]
[tex] \sf : \implies 3x = 90^{\circ}[/tex]
[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]
[tex] \sf : \implies x = 30^{\circ}[/tex]
[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]
Therefore, one of the angle is 30°.
Another angle = 2 × 30° = 60°
To collect data on the signal strengths in a neighborhood, Briana must drive from house to house and take readings. She has a graduate student, Henry, to assist her. Briana figures it would take her 12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed the task by himself. How long will it take Briana and Henry to complete the task together?
Answer:
Both take time together = 36 / 5 hours = 7.2 hours
Step-by-step explanation:
Given:
Briana take time = 12 hour
Henry take time = 18 hour
Find:
Both take time together
Computation:
Briana 1 hour work = 1/12
Henry 1 hour work = 1/18
Both take time together = 1/[1/12+1/18]
Both take time together = 1/[5/36]
Both take time together = 36 / 5 hours = 7.2 hours
What is the Slope for these graph ?
Answer:
The slope of the first graph is [tex]\frac{2}{3}[/tex] and the slope of the second graph is [tex]\frac{4}{2} = 2[/tex]
Step-by-step explanation:
First Graph
1. use rise over run to find the slope
2. the line goes up 2 numbers before it touches again
3. the line goes ever 3 numbers before it touches again
Second Graph
1. use rise over run to find the slope
2. the line goes up 4 numbers before touching again
3. the line goes over 2 numbers before touching again
i need help on this question , please!!!
Answer: 9
Step-by-step explanation:
Carol had $497 in her bank account if $912 is withdrawn from it how much is new balance in her bank account
The anwser is -415
hope this helped!
which is the correct answer?
Step-by-step explanation:
Step 3 is incorrect, it should be x - 4 + x = x(x - 3).
x - 4 + x = x(x - 3)
2x - 4 = x² - 3x
x² - 5x + 4 = 0
(x - 4)(x - 1) = 0
x = 4 or x = 1.
x = 4 is rejected as 1 / (x - 4) will become 1 / 0 which is undefined.
=> x = 1.
What is this pls answer
Answer:4:24 I believe
Step-by-step explanation:
Answer:
4:25
Step-by-step explanation:
The little string stand for hour and the big string stands for the minutes
There are 8 red marbles and 3 blue marbles in a bag. (a) What is the ratio of blue marbles to red marble 0 (b) What is the ratio of all marbles in the bag to blue marbles?
Answer:
a. 3/8
b. 11/3
Step-by-step explanation:
a. For this, we need to use a fraction to compare how many of each marble there are. 3 blue to 8 red. The ratio is 3 to 8 or 3/8
b. Now we have to compare how many all the marbles in the bag to just the blue marbles. All the marbles: 8+3=11, blue marbles: 3. So the ratio is 11 to 3 or 11/3
a) The ratio of blue marbles to red marbles: 3/8.
b) The ratio of all marbles to blue marbles: 11/3.
(a) To find the ratio of blue marbles to red marbles, divide the number of blue marbles by the number of red marbles.
Blue marbles: 3
Red marbles: 8
So, the ratio is 3/8
(b) To find the ratio of all marbles in the bag to blue marbles, divide the total number of marbles by the number of blue marbles.
Total marbles = 8 + 3
= 11
So, the ratio is 11/3.
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It takes you 1 minute 40 seconds to walk 550 feet. What is your average speed?
Answer:
5.5 feet per second or 330 feet per minute
Step-by-step explanation:
550/100 seconds = 5.5 feet per second
5.5 x 60 = 330 feet per minute
Answer:
3.75 mph (miles per hour)
(i finally got the right answer, ignore my comment, i am so sorry it was wrong T_T)
PLEASE HELP DUE AT 8:30 A.M. I WILL MARK BRAINLIEST! Thank you
Choose the correct solution to the equation:
1. 7B+ 4= 7B - 3
A. No Solution
B. Infinitely Many Solutions
C. One Solution
2. 2C-5=8C+7
A. No Solution
B. Infinitely Many Solutions
C. One Solution
3. 5A+7=3A+7+2A
A. No Solution
B. Infinitely Many Solutions
C. One Solution
Answer:
1. no solution
2. one solution
3. infinitely many solutions
Step-by-step explanation:
1. 4= -3
false
2. -5=6c+7
2=6c
c=3
3. 5a+7=5a+7
true
Answer:
No solution
One solution
Infinite number of solutions
Step-by-step explanation: