Answer:
x=1.75
Step-by-step explanation:
3*2-4x+1=0 subtract 1 from both sides
3*2-4x=-1 multiply 3 and 2
6-4x=-1 Subtract 6 from both sides
-4x=-7 divide both sides by -4
x=1.75
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There are 4 pieces of paper, numbered 10 to 13, in a hat. After another numbered piece of paper is added, the probability of picking a number between 10 and 13 inclusive is 4/5. Which of the following numbers could
Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.
Step-by-step explanation: The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.
So any other number could be a possibility.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
2
Step-by-step explanation:
In order to make the equation undefined, you should make the denominator 0. Remember that dividing anything by 0 will become undefined.
[tex]2x-4=0\\\frac{2x=4}{2} \\x=2[/tex]
Answer:
[tex]\boxed{x = 2}[/tex]
Step-by-step explanation:
A rational expression is undefined when Denominator = 0
Here Denominator = 2x-4
So,
=> 2x - 4 = 0
Adding 4 to both sides
=> 2x = 4
Dividing both sides by 2
=> x = 2
There are 18cans on a shelf a customer bought 7 cans then jake pu 6cans on the shelf how many cans are on the shelf
Answer:
17 cans
Step-by-step explanation:
18 cans
7 are taken away
18-7 =11
Then we put 6 back on
11+6 = 17
There are now 17 cans
4(2n + 3) =44 pls someone help me with this??
Answer:
n = 4
Step-by-step explanation:
4(2n + 3) = 44
Expand the brackets.
4(2n) + 4(3) = 44
8n + 12 = 44
Subtract 12 on both sides.
8n + 12 - 12 = 44 - 12
8n = 32
Divide both sides by 8.
(8n)/8 = 32/8
n = 4
the polynomial p(x)=x^3-7x-6 has a known factor of (x+1). rewrite p(x) as a product of linear factors
Answer:
p(x) = (x + 1) (x - 3) (x + 2)
Step-by-step explanation:
x³ - 7x - 6
(x+1) (x² - x - 6) found by doing long division
(x+1) ( x - 3) (x + 2) are the factors
The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
We are given the polynomial as;
x³ - 7x - 6
Then we found by doing long division;
(x+1) (x² - x - 6)
(x+1) ( x - 3) (x + 2)
These are the factors.
Hence, The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
Learn more about polynomials here:
https://brainly.com/question/27343162
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In the equation y = 2x + 6
If x= 2, then what is y equal to?
Answer:
y = 10
Step-by-step explanation:
y = 2x + 6
Let x =2
y = 2*2 +6
y = 4+6
y = 10
Answer:
y= 10Step-by-step explanation:
[tex]y = 2x + 6 \\ x = 2 \\ y = 2(2) + 6 \\ y = 4 + 6[/tex]
[tex]y = 10[/tex]
Jennifer wants to see if the color of the testing room causes test anxiety. She asks 100 participants to come to a modified classroom, and as they walk in, she asks each person to choose either a testing cubicle painted bright red or a testing cubicle painted off white. On the basis of their choices, participants spend 20 minutes in one or the other cubicle solving challenging math problems. Then, they complete a survey asking them questions about how anxious they were during the math test. What's wrong with Jennifer's experiment?
Answer: Jennifer didn't randomly assign participants to the control and experimental group.
Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.
54x^3y+ 81x^4y^2 factorise
Answer:
I hope it helps you......
Statistics question; please help.
Scott has hired you to check his machine prior to starting an order. To check it, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.
Does this sample provide convincing evidence that the machine is working properly?
Thank you in advance!
Answer:
Does this sample provide convincing evidence that the machine is working properly?
Yes.
Step-by-step explanation:
Normal distribution test:
[tex]$z=\frac{x- \mu }{ \frac{\sigma}{\sqrt{n}} }=\frac{ (x-\mu)\sqrt{n}}{\sigma} $[/tex]
Where,
[tex]x: \text{ sample mean}[/tex]
[tex]\sigma: \text{ standard deviation}[/tex]
[tex]n: \text{ sample size determination}[/tex]
[tex]\mu: \text{ hypothesized size of the screw}[/tex]
[tex]$z=\frac{(1.476-1.5)\sqrt{200} }{0.203 } $[/tex]
[tex]$z=\frac{(-0.024)10\sqrt{2} }{0.203 } $[/tex]
[tex]z \approx -1.672[/tex]
Once the significance level was not given, It is usually taken an assumption of a 5% significance level.
Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of [tex]\pm 1.96[/tex]
Therefore, we fail to reject the null. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!
Which values for h and k are used to write the function f of x = x squared + 12 x + 6 in vertex form?
h=6, k=36
h=−6, k=−36
h=6, k=30
h=−6, k=−30
Answer:
h=−6, k=−30
Step-by-step explanation:
did on edge
Considering the equation of the parabola, the coefficients of the vertex are:
h=−6, k=−30
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](h,k)[/tex]
In which:
[tex]h = -\frac{b}{2a}[/tex]
[tex]k = -\frac{b^2 - 4ac}{4a}[/tex]
In this problem, the equation is:
[tex]f(x) = x^2 + 12x + 6[/tex]
Hence the coefficients are a = 1, b = 12, c = 6, thus:
[tex]h = -\frac{12}{2} = -6[/tex]
[tex]k = -\frac{120}{4} = -30[/tex]
More can be learned about the equation of a parabola at https://brainly.com/question/24737967
Last week Lisa had a gross earning of $1441.30. Cathy receives a base salary of $375 and a commission on sales exceeding her quota of $5000. What is her rate of commission if her sales were $6560?
Answer:
4.25%
Step-by-step explanation:
Commision = 441.30 - 375 = 66.30
Commision is based on = 6560-5000 = 1560
Rate of Commision = (in decimal) 66.30/1560 = 0.0425
Rate of Commision = 0.0425 * 100 = 4.25 %
use the graph to find the cost of 8 shirts
Answer:
Option B
Step-by-step explanation:
When we compare the number of shirt with it's cost, we find out that 8 shirts cost $120.
For more understanding, see the attached file.
The diagonals of a rhombus are 12cm and 16cm.Find the length of each side.
Answer:Let PQRS to be the rhombus where PQ=12cm and RS = 16cm
step 1:let,PQ and RS intersect each other at O.Now, diagonals of rhombus bisect each other at right angles.
STEP 2:Since POQ is a right angled triangle, by pythagoras theoram.
STEP 3:After applying formula , PQ =10cm .length of each side of rhombus is 10cm.
Step-by-step explanation:
Answer:
10cm
Step-by-step explanation:
As you can see in the first image is a rhombus with its diagonals 12cm and 16cm
You can see that the diagonals divide the rhombus into four right triangles and that the hypotenuse of each triangle is one side of the rhombus.
In the second image I picked out one triangle from the rhombus and slashed the length of the diagonals of the rhombus in half to get the sides of the triangle.
Now all you have to do is use the Pythagorean theorem to find the hypotenuse of the triangle which will give you the length of side of rhombus
6² + 8² = hypotenuse²
36 + 64 = h²
100 = h²
h = √100
h = 10
All the side of the rhombus are equal so all the sides of the rhombus are 10cm
Solve for x. (x+2)/3+(2x-4)/4=3
Answer:
x=4
Step-by-step explanation:
First you need to factor the equation. You can do this by multiplying the numbers by eachother so they have a denominatior of 12.
You would come out to have this...
((x+2)*4)/12 + ((2x-4)*3)/4=3
At this point you can combine the numerators over the common denominator.
((x+2)*4+(2x-4)*3)/12=3
You can now rewrite the equation into factored form.
5x-2/6=3
Multiply both sides of the equation by 6.
5x-2=18
move the terms not containing x to the right
5x=20
and divide by 5
x=4
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. Admissions Probability 1,100 .2 1,400 .3 1,300 .5 Click here for the Excel Data File What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)
Answer:
Variance =10900.00
Standard deviation=104.50
Step by step Explanation:
Admissions Probability for 1100= 0.2
Admissions Probability for 1400=0.3
Admissions Probability for 1300 =0.5
To find the expected value, we will multiply each possibility by its probability and then add.
mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290
To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.
E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000
Variance(X)=E(X²)- [E(X)]²
= 1675000 - (1290)²
=10900
Hence, the Variance(X)=10900
Then to calculate the standard variation , we will use the formular below,
standard variation (X)=√ var(X)= √10900
=104.5
Hence the standard variation=104.5
These figures are similar the area of one is give. Find the area of the other
Answer:
80 in²
Step-by-step explanation:
8/10 = x/100
x = 80
If the polynomial - 6 + 16 - 25x + 10 is divided by - 2x + k, the remainder comes out to be x + a, find k and a
Answer:
k=5
a= -5
Step-by-step explanation:
if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a
Solution
x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a
We have,
(4k-25+16-2k)x+[10-k(8-k)] = x+a
(2k+9)x + (10-8k+k^2)=x+a
2k-9=1
2k=1+9
2k=10
Divide both sides by 2
2k/2=10/2
k=5
And
10-8k+k^2=a
10-8(5)+(5^2)=a
10-40+25=a
-5=a
Therefore, a=-5
x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5
This is the last one but how do you find y ? what do I subtract 5 from ?
Answer:
y = 250
Step 1:
To solve, we plug in 50x for y.
[tex]50x=200+10x[/tex]
Then, we subtract the 10x from the right side. Our goal is to get the x by itself first.
[tex]40x=200[/tex]
Then, we divide both sides by 40, since we have to get the x by itself.
[tex]\frac{40x}{40}=x\\\\\frac{200}{40} =5[/tex]
x = 5
Step 2:
Now that we found x, we plug in 5 to the original equation and solve from there.
[tex]y=200+10(5)\\y=200+50\\y=250[/tex]
y = 250
What is the center of the circle with the equation (x-1)^2 + (y+3)^2= 9? a (1,3) b (-1,3) c (-1,-3) d (1,-3)
Answer:
The center is ( 1,-3) and the radius is 3
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
(x-1)^2 + (y+3)^2= 9
(x-1)^2 + (- -3)^2= 3^2
The center is ( 1,-3) and the radius is 3
write 4.83×10⁵ as an ordinary number
Answer:
483,000
Step-by-step explanation:
hope this helps :)
Answer:
The answer is 483,000 as an ordinary number
Step-by-step explanation:
Please help if you are correct you get brainlyest
Answer:
did you already try A???
Answer:
Probability : [tex]\frac{5}{33}[/tex]
Step-by-step explanation:
The probability of drawing an orange on the first attempt would be 5 / 12, considering that in this first attempt their are 5 oranges present out of a total of 12 fruits. Now after that fruit is chosen their are 4 out of 11 oranges present, such that the probability of drawing an orange on the second attempt would be 4 / 11.
Probability of choosing an orange on the first try : [tex]5 / 12[/tex]
Probability of choosing an orange on the second try : [tex]4 / 11[/tex]
Probability of selecting two oranges in a row ( blindfolded ) : [tex]5 / 12 * 4 / 11[/tex]
[tex]\frac{5}{12}\cdot \frac{4}{11}[/tex] ( cross cancel common factor 4 )
[tex]\frac{5}{3}\cdot \frac{1}{11}[/tex] ( multiply fractions )
[tex]\frac{5\cdot \:1}{3\cdot \:11}[/tex] = [tex]\frac{5}{3\cdot \:11}[/tex] = [tex]\frac{5}{33}[/tex] - the probability of selecting two oranges in a row blindfolded, is [tex]\frac{5}{33}[/tex].
Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.
Answer:
The 12th term is 68Step-by-step explanation:
Since the sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
d = 6
a = 2
n = 12
So the 12th term of the sequence is
A(12) = 2 + (12-1)6
= 2 + 11(6)
= 2 + 66
A(12) = 68Hope this helps you
The amount that two groups of students spent on snacks in one day is shown in the dot plots below. Which statements about the measures of center are true? Select three choices. The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B. The mode for Group A is less than the mode for Group B. The median for Group A is 2. The median for Group B is 3.
Answer:
The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B.The mode for Group A is less than the mode for Group B.Step-by-step explanation:
First, we can find the measures of center for each group.
Group A
Mode: 1
Median: (1 + 2) / 2 = 3 / 2 = 1.5
Mean: (1 * 5 + 2 * 4 + 3) / 10 = (5 + 8 + 3) / 10 = 16 / 10 = 1.6
Group B
Mode: 3
Median: 92 + 3) / 2 = 5 / 2 = 2.5
Mean: (1 * 3 + 2 * 2 + 3 * 4 + 5) / 10 = (3 + 4 + 12 + 5) / 10 = 24 / 10 = 2.4
From here, we can see that...
The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B.The mode for Group A is less than the mode for Group B.Hope this helps!
Answer:
ABC
Step-by-step explanation:
The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room?
Answer:
length=25m
breadth=10m
Step-by-step explanation:
2.5units+2.5units+1unit+1unit=7units
70/7=10
length=10x2.5=25
breadth=10
(sorryy im not really sure but i hope it helps :D)
Answer:
Length = 25 cm
Breadth = 10 cm
Step-by-step explanation:
Let breadth of the room be 'x'
Let length of the room be ''
Perimeter ( P ) = 70 cm
Now, let's find the breadth of the room 'x '
Perimeter of rectangle = 2(l+b)
plug the values
70=2(2.5x+x)
Collect the like terms
70=2x3.5x
Calculate the product
70=7x
Swap the sides of the equation
7x=70
Divide both sides of the equation by 7
7x / 7= 70/7
Calculate
x=10cm
Breadth = 10 cm
Now, Let's find the length of the room ' 2.5x '
Length of the room = 2.5x
Plug the value of X
2.5x10
Calculate the product
25cm
Thus , The length and breadth of the room is 25 cm and 10 cm respectively.
Hope this helps..
Best regards!!
For which system of equations would you need to estimate the solution?
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect around (negative 2.1, negative 3.5).
On a coordinate plane, 2 lines intersect at (negative 2, 3).
On a coordinate plane, 2 lines intersect at (2, 2).
Answer: It is option 2 or B
Step-by-step explanation: Simple and easy, the test said it was right too.
The average age of 15 students is 16 years. If teacher’s age is included the average increases
by 1. Find teacher’s age
31
because 15 +16 :31
[tex]. = y1 = \times [/tex]
URGENT PLEASE HELP
1. Use the rules of divisibility to check which of the following
numbers are multiples of (are divisible by) 2,3,4,5,6, 8, 9 and 10
a) 552
b) 315
c) 620
d) 426
I need help with this!
Part A
Answer: 33.2 degrees F
Explanation: Adding on a negative is the same as subtracting. So 72.3 + (-39.1) = 72.3 - 39.1 = 33.2
================================================
Part B
Answer: 70 + 2 + 0.3 + (-30) + (-9) + ( -0.1 )
Explanation:
Think of 72 as 70+2. Furthermore, think of 72.3 as 70+2+0.3; we just break the number up into its corresponding digits (adding zeros when needed). The 7 is in the tens place, the 2 is in the units or ones place, and the 3 is in the tenths place.
Similarly, we have 39.1 break down into 30+9+0.1, in which all three terms are made negative to represent -39.1
================================================
Part C
Answer: 70 + (-30) + 2 + (-9) + 0.3 + ( -0.1 )
Explanation: Arrange the tens place value items to be next to each other. Same goes for the units place value, and also the tenths place value.
================================================
Part D
Answer: [70 + (-30)] + [ 2 + (-9) ] + [ 0.3 + ( -0.1 ) ]
Explanation: Take the result of part C and surround each pair of terms in square brackets to show how the terms pair up.
Help me with this I’m confused
ok its 11 sqrt 6
because if sqrt 6 is x, and 5x +6x=11x
so its 11 sqrt 6
Two cards are selected at random from a standard deck of cards. What is the probability that you select a king or a queen? (If your answer will reduce, you should reduce it.) Also show you're work
Answer:
2/13
Step-by-step explanation:
In a standard deck of cards, there are 52 cards total, 4 kings, and 4 queens.
Probability is calculated by (number of favorable outcomes)/(number of possible outcomes), so our probability would be 8/52, which can be simplified to 2/13.
Hope this helps!