Answer:
3x + 5 = 12 - 7x
⇒ 3x = 12 - 5 - 7x
⇒ 3x = 7 - 7x
⇒ 3x + 7x = 7
⇒ 10x = 7
⇒ x= 7 ÷ 10
⇒ x = 0.7
In a law office, the average number of billed hours per day was 150 last year. In the first 85 days of this year, the average number of billed hours per day is 158 with a standard deviation of 65 hours. When testing the hypothesis (at the 10% level of signficance) that the average number of billed hours per day has increased, what is the null and alternative hypotheses (please write out the null and alternative hypotheses below AND on your scratch work...failure to do BOTH will result in 0 points)
Answer:
There isn't enough evidence to reject H0
Step-by-step explanation:
Null hypothesis :
H0: μ = 150
H1 : μ > 150
Decision region :
Reject Null if ;
Pvalue < α
Zstatistic = (x - μ) / (s/sqrt(n))
Zstatistic = (158 - 150) / (65/sqrt(85))
Zstatistic = 0.1135
Using the P value calculator from Zstatistic at 90% ; α = 0.10 confidence interval ; one tailed test = 0.128
Pvalue = 0.128
Since ; 0.128 > 0.10
Pvalue > α
We cannot reject H0:
Please help!!!!!!!!!
Answer:
7.823 8.019
Step-by-step explanation:
Those two both will round up to 20 in the hundredths place and both round to 8.
Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.
Help please I really need it
Answer:
40%
Step-by-step explanation:
it ads up to 90, so 50+x=90 x=40
Answer:
40° as it is a right angle
then 90 - 50= 40
1/4 divided by 5 explain how you do it
Answer: It would be 0.05 because it’s just simple math, I just learned this today at school.
I mean I think it’s simple math
Step-by-step explanation:
Harper you have a Great Day or Night, and also I hope it was helpful!!! : )
Milo and Audrey sold tickets to the school concert. Milo sold 14 fewer tickets than Audrey. If Milo sold 32 tickets, how many tickets did Audrey sell?
Answer:
18
Step-by-step explanation:
32-14=18
can you help me please
Answer:
[tex]log_372 = 3.8928[/tex]
Step-by-step explanation:
Given
[tex]log_38 = 1.8928[/tex]
Required
Evaluate [tex]log_372[/tex]
We have:
[tex]log_372 = log_3(8 *9)[/tex]
Apply law of logarithm
[tex]log_372 = log_38 +log_39[/tex]
Express 9 as 3^2
[tex]log_372 = log_38 +log_33^2[/tex]
Evaluate the exponents
[tex]log_372 = log_38 +2log_33[/tex]
[tex]log_33 = 1[/tex].
So:
[tex]log_372 = log_38 + 2 * 1[/tex]
[tex]log_372 = log_38 + 2[/tex]
Substitute [tex]log_38 = 1.8928[/tex]
[tex]log_372 = 1.8928 + 2[/tex]
[tex]log_372 = 3.8928[/tex]
Select the correct answer.
Consider this absolute value function.
f(x) = [ x + 3 ]
If function f is written as a piecewise function, which piece will it include?
A. x + 3, x > 3
B. x + 3, x > -3
C. -x + 3, x < -3
D. -x - 3, x < 3
Answer:
B) x + 3, x > -3
Step-by-step explanation:
I just took a test with this question on it and got it right.
Hope this helps! :)
If function f is written as a piecewise function, it will include x + 3, x > -3
The absolute value function is given as:
f(x) = | x + 3 |
Given that the function is an absolute value function, this means that:
|x + 3| > 0
Remove the absolute sign
x + 3 > 0
Subtract 3 from both sides
x > -3
Hence, if function f is written as a piecewise function, it will include x + 3, x > -3
Read more about absolute value functions at:
https://brainly.com/question/10538556
19. The formula P = a + b + cgives the perimeter P of a triangle with side
lengths a, b, and c. A triangular field has sides that measure 33 yards,
56 yards, and 65 yards. What is the perimeter of the field? (6.EE.20)
Answer:
33 + 56 + 65 = 154
HELP PLS I NEED HELP
Answer:
133
Step-by-step explanation:
180 - 47 = 133
Answer:
133°
Step-by-step explanation:
If we assume the the given to adjacent lines to be parallel then ,
The x and supplement of 47° will be equal since they will be corresponding angles .Therefore :-
=> x = 180° - 47°
=> x = 133° .
Hence the size of angle X is 133°Identify the graph which shows the figure in graph A, rotated 90° in a clockwise direction around the origin.
Which problem can be solved with this equation?
A. Jen has 4 of a meter of ribbon. She buys 6 more meters of ribbon. How many meters of ribbon does she have in all?
B. Jen has f of a meter of ribbon, she wants to give 6 friends equal-size pleces of the ribbon. How many meters of ribbon does each
friend get?
OC. Jen has 6 meters of ribbon. She cuts
soft / of
of the ribbon. How many meters of ribbon does she have left?
OD. Jen has 6 meters of ribbon, she wants to give
of it to her friend. How many meters of ribbon does she give her friend?
Answer:
I believe the answer is B
cuánto es 567 + 678 es igual
Answer: 1245 :)
Step-by-step explanation:
Answer:
la respuesta es 1245
567+678=1245
Please helppp ASAPPP will mark brainliest
a) SR
b) QR
c) RW and RV
RT and RS
RU and RQ
Convert these mixed numbers into improper fractions.
Answer:
[tex]2\frac{2}{5}=\frac{12}{5}[/tex]
[tex]3\frac{1}{6}=\frac{19}{6}[/tex]
Step-by-step explanation:
In [tex]2\frac{2}{5}[/tex] you multiply 2x5 which equals 10 and then you add 10+2=12
2x5=10
10+2=12
=[tex]\frac{12}{5}[/tex]
You do the same thing multiply the denominator by the whole number and whatever you get when you multiply add it with the numerator.
3x6=18
18+1=19
=[tex]\frac{19}{6}[/tex]
Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form.
P(−4, −6); m = −3/4
9514 1404 393
Answer:
3x +4y = -36
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope and b is the y-intercept. From this equation, we can find the y-intercept as ...
b = y -mx
For the given point and slope, this is ...
b = -6 -(-3/4)(-4) = -9
Then the slope-intercept equation is ...
y = -3/4x -9
We can multiply by 4 to get something we can put in standard form.
4y = -3x -36
3x +4y = -36 . . . . standard form equation
Solve for x.
(Round to the nearest hundredth)
Answer:
x=26.44
rounded to the nearest hundredth.
Step-by-step explanation:
Soh Cah Toa
We need opposite for x and adjacent for 44
Length × Tan (Angle)
44 × Tan (31)=26.43786724
A
9x - 40
B
3x + 20
x = [?]
Answer:
x = 10
Step-by-step explanation:
9x - 40 = 3x + 20
9x - 3x - 40 = 3x - 3x + 20
6x - 40 = 20
6x - 40 + 40 = 20 + 40
6x = 60
6x / 6 = 60 / 6
x = 10
Now plug the x value in the equation to make the statement true that A is parallel to B.
9x - 40
9(10) - 40
90 - 40
50
3x + 20
3(10) + 20
30 + 20
50
Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!
Answer: 10
Step-by-step explanation:
What is the approximate area of the circle shown below?
Answer:
A
Step-by-step explanation:
Can the table below represent values of a function? explain why.
Try it yourself, I'll explain the concept
In a function, each x-value matches to exactly one y-value
If it matches to more than one y-value, it is not considered a function
Now look at the x and y values in each table to determine if it is a function or not
:)
Can someone help quick please
Answer:
PC = 4 cm
Step-by-step explanation:
AP = 4 cm
Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.
PC = AP because corresponding parts of congruent triangles are congruent.
can someone help me? I have to turn it on by tomorrow :(
Answer:
The terms in #4 are 2500, 11t, and -3w
The terms in #5 are 17 and 4d
a system of equations is show below
5x + 3y=-6
2x+y=-4
which statement about the ordered pair (-6,8) is true?
yes it is true I have send u photo plz have a look
Solve each equation by factoring ⁉️NEED THIS ASAP ⁉️
Answer:
Step-by-step explanation:
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 24 in
x 18 in x 16 in. The company rents a storage space that measures 400 ft x
240 ft x 60 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 576,000 boxes
B. 1,440,000 boxes
C. 6912 boxes
D. 972,000 boxes
Answer:The answer is c
Step-by-step explanation:
The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.
What is volume?
Volume is the three-dimensional space enclosed by a three-dimensional object.
We have to find the volume of the box and the volume of the storage space.
The volume of the box:Volume = length × breadth × height
= 24 × 18× 16 in³
=6912 in³
The volume of the storage space:Volume = length × breadth × height
= 400 × 240 × 60 ft³
= 5760000 ft³
We have to convert this into inches. We know that 1 foot = 12 inches.Therefore, 5760000 ft³ = 5760000 × (12)³ in³
We have to divide the volume of the storage space by the volume of the box to find the number of boxes that it can fit:Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³
= 1440000 boxes.
Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.
Learn more about volume here-https://brainly.com/question/25736513
#SPJ2
Select all multiples of the number: 9
Answer:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90
Step-by-step explanation:
hi
Answer:
9,18,27,36,45,54,63,72,81,90
Step-by-step explanation:
Which equations are equivalent to 33/x+ 4 = 12? Check all that apply.
3x + 4 = 9
43 = 3x + 4
O x + 4 = 64
U 3+ 4 = - 4
0 60 = x
Answer:
option c
x + 4 = 64
and
option e
x = 60
Step-by-step explanation:
Given in the question an expression
3∛x+4 = 12
∛x + 4 = 12/3
∛x + 4 = 4
Take cube on both sides of the equation
∛(x + 4)³ = 4³
x + 4 = 64
x = 64 - 4
x = 60
The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.
Answer:
length=22
width=21
Step-by-step explanation:
let, length be x and width be y.
x=2y-20
2(x+y)=86
or, 2(2y-20+y)=86
or, 2(3y-20)=86
or, 6y-40=86
or, 6y= 126
or, y= 126/6
y= 21
x= 2×21-20 = 42-20 =22
PLEASE HELP I WILL GIVE BRAINLIEST
Given a long algebraic expression, what are some strategies that you can use to make simplifying and evaluating the expression more efficient and accurate?
How do inverse operations help solve algebraic equations? Give a real-world scenario where this might be modeled.
Answer:
See below.
Step-by-step explanation:
To simplify a long algebraic expression, you could use many methods. My personal choice is to use distribution in order to follow PEMDAS and eliminate any parenthesis within my equation. I also like to combine like terms to shorten the equation as much as possible.
Inverse operations are extremely helpful in isolating variables and simplifying equations. They can be used in many scenarios from finding the length of an object with only a formula and one side (ex. a triangle with only b and A given) to having distance and speed to figure out the time it will take to get to your destination.
3. Given f(x)=-2(5)
Find f (4)
Answer:
f
(
x
)
=
2
, means, whatever be the value of
x
, f(x)=2#.
∴
f
(
−
4
)
=
2
.