Answer:
Solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]
Step-by-step explanation:
We need to solve the equation:
[tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]
And find the value of a
Solving the equation: [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]
First we will be Switching sides
[tex]\frac{3a}{4}-\frac{13}{20}=-\frac{7}{10}[/tex]
Now, for finding value of a we will be adding 13/20 on both sides
[tex]\frac{3a}{4}-\frac{13}{20}+\frac{13}{20}=-\frac{7}{10}+\frac{13}{20}[/tex]
[tex]\frac{3a}{4}=-\frac{7}{10}+\frac{13}{20}[/tex]
Now, on right hand side, Taking LCM of denominators i.e 10 and 20, we get 20 and simplifying:
[tex]\frac{3a}{4}=\frac{-7*2+13}{20}\\\frac{3a}{4}=\frac{-14+13}{20}\\\frac{3a}{4}=\frac{-1}{20}[/tex]
Now, multiply both sides by 4/3
[tex]\frac{3a}{4}\times \frac{4}{3} =\frac{-1}{20}\times \frac{4}{3}\\a=\frac{-1}{5}\times \frac{1}{3}\\a= \frac{-1}{15}[/tex]
So, solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/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]
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
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°
Help me pls I will rate u five stars and like it if it is correct and I will try to mark u brainiest
Answer:
1. 8 x 8 ÷ 2
2. 64 ÷ 2 = 32
Step-by-step explanation:
(7+1) becomes 8 and 8 x 8 becomes 64
64 ÷ 2 = 32
What is the simplified value of the expression below? -2.6+5.8
Answer:
3.0
Step-by-step explanation:
5.8-2.6=3.2 simplified 3.0
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
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
What is the perimeter, in feet, of the polygon 15 22 10 18 14?
Answer:
79 feet
Step-by-step explanation:
The perimeter is all the sides added together.
15+22+10+18+14 =
79 feet
please give thanks :)
if answer is incorrect, your question is not clear enough. this is the best answer I can provide.
Step-by-step explanation:
check the answer it is as same
8+6t-3t+t
I’ll mark brainliest and 10 points I need ASAP
Answer:
8+4t
Step-by-step explanation:
combine 3t and t then do 6t - 4t getting 8+4t
Need help ASAP!!!
Please helppp
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
An object has a density of 40 g/cm
and a volume of 50 cm? What is
cm
the mass of the object?
Answer:
80
Step-by-step explanation:
Reduce 13/2+1 3/4+ 2 5/6=
Answer:
[tex]\frac{35}{3}[/tex] or [tex]11 \frac{2}{3}[/tex]
Step-by-step explanation:
Just add them
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
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.
a company pays its employees and average hourly wage of 36.25 with a standard deviation of 6.50 more than 23.22 of 36 employees are randomly selected, what is the probability that their mean wage is more than 23.22
Answer:
P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %
Step-by-step explanation:
P [ X > 23,22 ] = 1 - P [X ≤ 23,22 ]
P [X ≤ 23,22 ] = ( X - μ₀ ) / σ /√n
P [X ≤ 23,22 ] = ( 23,22 - 36,25 )/ 6,50/√36
P [X ≤ 23,22 ] = - 13,03 *6 / 6,50
P [X ≤ 23,22 ] = - 12,02 or P [X ≤ 23,22 ] = 12,02 %
(note the - sign only mean that values on the left tail of the bell shape curve)
Then
P [ X > 23,22 ] = 1 - 0,1202
P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %
please help me! plssssss
Answer:
1 hour and 15 minuets
Step-by-step explanation:
5 hours and he was hedging for 25% of that time.
25%=.25
5(0.25)
1.25
A quarter of an hour is 15 minutes.
So the final answer would be 1 hour and 15 minuets.
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
.
This one might not look familiar yet, but it's very similar to the distance problems you've already seen.
My car gets 22 miles per gallon. How far can my car travel on 8 gallons of gas?
Question 5 options:
0.36 miles
2.75 miles
30 miles
176 miles
Answer:
176.
Step-by-step explanation:
The logarithmic property
[tex] log_{b}(m) - log_{b}(n) [/tex]
=
[tex] log_{b}( \frac{m}{n} ) [/tex]
can be proven by using which exponential property.
Answer:
using divisional law of indices logab-logan=log(b/n)therefore logbM-logbN=logb(M/N)
b) Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain. (2 points)
30% OFF EACH SHEET!
30% OFF EACH SHEET!
Answer:
30= 20 so, that’s 10 dollars of
1o+ 7. 5=17. 5+10=27 .50
Step-by-step explanation:
I took the test hope this helps
what is the slooe of the following equation y =-×+1
Answer:
-1
Step-by-step explanation:
slope is always the coeffcient* the number beside the variable
a philanthropist deposits 2,000$, in a trust fund that pays 6.0%interest , compunded continuously. The balance given to the college from which the has earned interest for 20 years. How much will the college receive? round to the nearest tenth
Answer:
$6414
Step-by-step explanation:
Step one
given
Principal=$2,000
rate= 6%= 0.06
Time= 20 years
Required
The final amount
Step two:
The compound interest formula is
A= P(1+r)^t
substituting we have
[tex]A=2000(1+0.06)^2^0\\\\ A= 2000(1.06)^2^0\\\\ A=2000*3.207\\\\A=6414[/tex]
The amount given to the college is $6414
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:
3/8 x 4/9? Plz help I’m doing a test lol
Answer: 0.16666666666
-6 (y + 15) = -3y + 6
What value of y makes the equation true?
Answer: y=-32
Step-by-step explanation:
1. Simplify:
-6y-90=-3y+6
2. Add like terms:
-96=3y
=> y=-32
Have a nice day! :)
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:
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:
what is the first step in evaluating the expression below ? 3x{9-(4+2)÷2}