Answer:
C
Step-by-step explanation:
YES
solve the equation 2x+1=x-3
How to solve your problem
Topics: Algebra, Quadratic Equation
2
+
1
=
−
3
2x+1=x-3
2x+1=x−3
Solve
1
Subtract
1
1
1
from both sides of the equation
2
+
1
=
−
3
2x+1=x-3
2x+1=x−3
2
+
1
−
1
=
−
3
−
1
2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}
2x+1−1=x−3−1
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
−
4
2x=x-4
2x=x−4
3
Subtract
x
x
from both sides of the equation
2
=
−
4
2x=x-4
2x=x−4
2
−
=
−
4
−
2x{\color{#c92786}{-x}}=x-4{\color{#c92786}{-x}}
2x−x=x−4−x
4
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
−
4
x=-4
x=−4
Solution
=
−
4
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is __________________________________.
This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
-------------------------------------------------------------------
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60
This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:
[tex]H_0: p = 0.6[/tex]
At the alternative hypothesis, we test if the proportion is different of 0.6, that is:
[tex]H_1: p \neq 0.6[/tex]
-------------------------------------------------------------------
Decision rule:
Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of [tex]|Z_c| = 1.645[/tex], and the decision rule is:
Accept the null hypothesis: [tex]|Z| < 1.645[/tex]
Reject the null hypothesis: [tex]|Z| > 1.645[/tex]
-------------------------------------------------------------------
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that [tex]\mu = 0.6, \sigma = 0.4[/tex]
75 out of a sample of 140:
This means that:
[tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]
-------------------------------------------------------------------
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}[/tex]
[tex]z = -1.55[/tex]
So |z| = 1.55
-------------------------------------------------------------------
Decision:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
For a similar example, you can check https://brainly.com/question/24166849
Solve for x: -5 < 8x + 11 < 19
Answer:
-2<x<1
Step-by-step explanation:
-5 < 8x + 11 < 19
Subtract 11 from all sides
-5-11 < 8x + 11-11 < 19-11
-16 < 8x<8
Divide by 8
-16/8 < 8x/8 <8/8
-2<x<1
please help, i really dont understand. will give brainliest.
At Sarah's cafe, customers can choose one of the following entrees: burrito, pasta, soup or taco. They can also order a side dish. They have a choice of french fries, salad, potato salad or coleslaw. Finally customers get to choose one of the following drinks and a choice of soda, coffee, water, milk or juice.
For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?
*The answer is not 120 btw*
Answer:
I've done the math and it's 120, people say it's 120 and online 120, I really wanna help but I just
when is it easy to show if a set is closed or not closed?
Answer:i think its if the dots are open they arent closed but if they are filled in its closed same with () and [] if its (x,y) then its not able to be used but if its [x,y] then it is able to be used
Step-by-step explanation:
HELPPPPP PLSSSS!!!! You start at (-2, 3). You move up 1 unit and right 3 units. Where do you end? sp 4 3 2 1 X -5 -4 -3 -2 -1 0 -1 1 2 3 4 5 -2 -3 -4 -5
Answer:
(1,4)
Step-by-step explanation:
Up 1 means y+1
right 3 means x+3
(-2+3, 3+1)
(1,4)
Answer:
(1,4)
Step-by-step explanation:
Every coordinate is placed as (x,y)
In this case, -2 is x and 3 is y
x means the amount of spaces you move left or right
y means the amount of spaces you move up or down
So start at the origin which is the center of the coordinate plane (also known as (0,0)) And move 2 to the left since it is a negative 2. Now from there, move 3 units up since its a positive 3. That is where (-2,3) is located.
The question asks you to move 1 unit up and 3 units to the right from (-2,3)
Therefore, you should get (1,4)
if l=6 b=4 h=5,find the value of 2h (l+b)
Answer:
100
Step-by-step explanation:
2h (l+b)
Let l=6 b=4 and h = 5
2*5( 6+4)
Parentheses first
2*5(10)
Multiply
10*10
100
Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
Could you help me???
It’s year8 maths
Answer:
go on doubtnut app
circle experts...help! will give brainly to most detailed answer
=========================================================
Explanation:
Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula
secant tangent angle = (larger arc - smaller arc)/2
More specifically, we can say:
angle EAI = (arc EU - arc IE)/2
42 = ( (7m+5) - (3m-1) )/2
42*2 = (7m+5) - (3m-1)
84 = 7m+5 - 3m+1
84 = 4m+6
4m+6 = 84
4m = 84-6
4m = 78
m = 78/4
m = 39/2
m = 19.5
Use this value of m to compute each arc
arc IE = 3m-1 = 3*19.5-1 = 57.5 degreesarc EU = 7m+5 = 7*19.5+5 = 141.5 degreesLet's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.
(arc IU) + (arc IE) + (arc EU) = 360
x + 57.5 + 141.5 = 360
x + 199 = 360
x = 360-199
x = 161
The measure of minor arc IU is 161 degrees
Answer:
IU = 161
Step-by-step explanation:
Angle Formed by Two Secants= 1/2 (difference of Intercepted Arcs)
42 = 1/2 (7m+5 - (3m-1))
Distribute the minus sign
42 = 1/2 (7m+5 - 3m+1))
Combine like terms
42 = 1/2 ( 4m+6)
Distribute the 1/2
42 = 2m+3
Subtract 3 from each side
42-3 = 2m+3-3
39 = 2m
Divide by 2
19.5 = m
The sum of the arcs = 360
IU+ 3m-1 + 7m+5 = 360
IU +10m+4 = 360
IU +10(19.5) +4 = 360
IU +195+4 = 360
IU = 360 - 199
IU=161
My hw says, "suppose E has a coordinate of -1 And EG= 7" what is the possible coordinate of G?
Answer:
-8,6
Step-by-step explanation:
from what i can tell this is a 1D problem. |E-G|=7, and E=-1, so -1-G=+-7. G=-8 or 6
Answer: Wouldn’t the possible coordinate of G be 8?
Step-by-step explanation:
If E is -1 and we know that EG combined is 7, we can deduce that you have to have an 8 to get 7 because 8 + -1 = 7 or E + G = EG
How tall is a stack of cube-shaped blocks whose volumes are 375 in3, 648 in3 and 1,029 in3? Round your answer to the nearest tenth. Hint: Volume = s3
Answer:
Step-by-step explanation:
find the value of a and b in each of the following diagrams.
Answer:
a=122
b=115
Step-by-step explanation:
We have a hexagon inscribed of a Circle. Let use some obvious properties to solve some of the angles.
The upper triangle that includes 112 and 30, have a missing angle. We can use triangle interior Theorem to find the missing third angle.
The missing angle is 38.
The upper trapezoid is a cyclic quadrilateral. It 4 vertices touched the circle circumference. This means the opposite angles of the trapezoids are supplementary.
The lower left angle of the upper trapezoid measure is 65. Part of that angle is 38 so the other part is
[tex]65 - 38 = 27[/tex]
Angle b forms a linear pair with the lower left angle so
[tex]b + 65 = 180[/tex]
[tex]b = 115[/tex]
Angle a is also a cyclic quadrilateral so
Angle a and 58 are supplementary
[tex]58 + a = 180[/tex]
[tex]a = 122[/tex]
if 5 hockey balls and 3 sticks cost $230.00 and 5 balls and 2 sticks cost $200 how much does one hockey ball cost?
step by step explanation:
Answer:
$28.
Step-by-step explanation:
We have the system of equations
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Checking in equation 2:-
5(28) + 2(30)
= 10 + 60
= 200.
- this checks out OK.
The cost of one hockey ball will be $28.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The system of equations from the given data are:-
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Therefore, the cost of one hockey ball will be $28.
To know more about an expression follow
https://brainly.com/question/723406
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I have underlined the volume of water needed (left) and the volume of chemicals needed (right). How much of the chemical would I need if I used 16 oz. of water?
pls help me asap !!!!!
Please apply the properties of rational exponents to simplify expressions with radical or rational exponents. Explain the steps so that I understand because this is for my notes. Thank you for your time, the properties and problems to apply them to will be below.
Step-by-step explanation:
Product property
If the bases are the same, you don't multiple them. However, if they are the same, you do multiple for example : (2³ * 2¹ = 2⁴.when the bases are the same) (2³ * 3¹ =6⁴. When the bases are not the sameWe add the index.Quotient property
Same here, if the bases are the same, they stay the way they wereWe subtract the indexPower property
Here we multiple the index because of the bracket for example : (9²)²= 9⁴Negetive exponent property
When ever the index has a negative sign its convected to a fraction, for instance : 9¯² = 1 /9²Note, when it turns to a fraction th index becomes positive!20 Point! Please help me find the surface area!
PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!
Answer:
192 square inches
Step-by-step explanation:
Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:
As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:
FIND AREA OF ONE TRIANGLE (1/2 x b x h)
1/2 x 8 x 12 = 48 square inches
MULTIPLY BY 4 for SURFACE AREA:
48 x 4 = 192
so the SA is 192 square inches!
brainliest?
Answer:
The base is 12 the height is 8.
Using the formula of finding the area of a triangle: BH x 1/2
8 x 12 x 1/2 = 48 Area of one triangle.
Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.
48 x 4 = 192 in2 is your surface area
(haven't done this in quite a while so make sure to check other answers for more reassurance)
Solve for x.
5x + 3 – 2x = 24
X = [?]
[tex]\\ \sf \longmapsto 5x+3-2x=24[/tex]
[tex]\\ \sf \longmapsto 5x-2x+3=24[/tex]
[tex]\\ \sf \longmapsto 3x+3=24[/tex]
[tex]\\ \sf \longmapsto 3x=24-3[/tex]
[tex]\\ \sf \longmapsto 3x=21[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{21}{3}[/tex]
[tex]\\ \sf \longmapsto x=7[/tex]
could anyone help with this, thanks !
Answer:
Graph C
Step-by-step explanation:
First, we need to find the bottom of the parabola (or the top, left, or right). In this case, it is x=3, therefore meaning y=-25. The only one that has (3,-25), so Graph C.
Find the measure of a. A. 110 B. 125 C. 55 D. 75
Find the missing angle. PLS HELP FAST !
Answer:
x = 53.5°
Hope this helps... Have a good day!!
Tony gets married next month. One year ago from the date he will get married, Tony was away in
Spain for New Year's Eve. What month is it?
Answer:
late January or early February
Step-by-step explanation:
On using logical reasoning, we deduce that this month is November.
What is logical reasoning?Logical reasoning comprises aptitude problems that need a logical level of examination to arrive at the right answer.
One year ago from the date he will get married, Tony was away in Spain for New Year's Eve.
This implies, One year ago from the date he will get married, Tony was away in Spain in month of December.
This implies, Tony will get married in month of December.
We know, Tony gets married next month. So, this month is November.
Learn more about logical reasoning here
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Determine algebraically whether the function is even, odd, or neither even nor odd.
A. Neither
B. Even
C. Odd
9514 1404 393
Answer:
B. even
Step-by-step explanation:
Functions are classed according to what happens when x is replaced by -x.
f(-x) = f(x) . . . even
f(-x) = -f(x) . . . odd
__
Here, we have ...
f(-x) = 2/(-x)^2 = 2/x^2 = f(x) . . . . an even function
Identify a transformation of the function f(x) = x2 by observing the equation of the function g(x) = (x - 1)
Answer:
2nd option
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Here g(x) = (x - 1)²
The base graph f(x) has been shifted right 1 unit
Mrs. Clayton was buying treats for her children. She bought $12 worth of cinnamon
rolls, $9 worth of candy, $8 worth of cookies, and $10 worth of pretzels. Estimate
the total amount of money Mrs. Clayton spent.
Answer:
Estimate,... about 40
Step-by-step explanation:
12 + 9 + 8 + 10 = 39
HELP ILL GIVE BRAINLIEST
Answer:
linear increasing
Step-by-step explanation:
For the section labeled B, the line goes up as x increases. This means the line is increasing
Answer:
Linear increasing
Step-by-step explanation:
The slope of interval B is constant since it's a straight line, which makes it linear. The line in interval B is pointing upward so it's increasing.
HELP ME PLEASE.
find the perimeter, area , and T.S.A of the following solids
Answer:
area =l×b
perimeter=add all the sides
3 solids
if 1 box cost rs 45 find the cost of 9 boxes
Answer:
9 boxes cost Rs 405
Step-by-step explanation:
1 box costs 45.
so, how much are 2 boxes ? what do you think ?
right, twice as much : 2 × 45 = 90
how much are 3 boxes ?
now it is three times the cost of 1 box : 3 × 45 = 135
do you see the pattern ?
it is really simple.
that is also the origin why we describe a multiplication by "times". we take a single item so and so many times.
when you see something like this, you know, they are talking about multiplication.
so, here we want to know how much 9 boxes cost.
therefore,
9 × 45 = 405
is the answer.
