What would the phrase "three times the sum of a number and 4" look like as a
variable expression?
3x +4
O3(3x +4)
O3(x + 4)
3x -4
A 4 2/4
ounce package of trail mix contains nuts and dried fruit. There are
2 3/4 ounces of nuts in the trail mix. How many ounces of dried fruit are in the trail mix
are in the trail mix?
Answer:
1 3/4 ounces of dried fruit.
Step-by-step explanation:
4 2/4 - 2 3/4 is equal to 7/4. 7/4 simplified is 1 3/4.
Bits are items of ________.
A. Biannual data
B. Bimodel data
C. Binary data
D. Binomial data
Answer:
C. Binary Data
Step-by-step explanation:
Can someone please help. I'm offering a lot of points because this answer needs an explanation. Statement proof style would be helpful, but it's not totally needed
Answer:
See below
Step-by-step explanation:
Given∠A ≅ ∠B and CD⊥ABTo prove CD bisects ∠ACBSolutionAs CD⊥AB, ∠BDC = ∠ADC = 90°
∠BDC ≅ ∠ADC
∠BCD = 180 - (∠BDC + ∠DBC)and
∠ACD = 180 - (∠ADC + ∠DAC)We can substitute ∠ADC with ∠BDC and ∠DAC with ∠DBC
Then we get same equation for ∠BCD and ∠ACD
Therefore ∠BCD = ∠ACD = 1/2∠ACB
It proves that CD bisects ∠ACB
If a polynomial has four terms, 3x³ + 5x + 6x² + 10, which factoring method can be considered?
∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 5 x − 4 ) ∘ ∠A=(5x−4) ∘ and m ∠ B = ( 2 x − 1 ) ∘ ∠B=(2x−1) ∘ , then find the value of x.
Answer:
x=1
Step-by-step explanation:
vertical angles are equal
therefore a=b
5x-4=2x-1= 3x=3
x=1
6299 round to neaRest hundred
Answer:
6300
Step-by-step explanation:
plz give me a harder answer next time :)
2 and 1 over 4 divided by 4 and 3 over 8?
Answer:
42
43
Step-by-step explanation:
that just the answer
2. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many students would need to be sampled?
Answer:
The number of students to be sampled is [tex]n = 1789 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.03
Generally the proportion of students that receive financial aid is mathematically represented as
[tex]\^ p = \frac{118 }{200}[/tex]
=> [tex]\^ p = 0.59[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{2.58}{0.03} ]^2 * 0.59(1 - 0.59) [/tex]
=> [tex]n = 1789 [/tex]
Using the margin of error, it is found that 1033 students would need to be sampled.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The dean randomly selects 200 students and finds that 118 of them are receiving financial aid, hence, the estimate is:
[tex]\pi = \frac{118}{200} = 0.59[/tex]
99% confidence level
So [tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
The sample size needed is n when M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.59(0.41)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.59(0.41)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.59(0.41)}}{0.03}[/tex]
[tex]\sqrt{n}^2 = \left(\frac{1.96\sqrt{0.59(0.41)}}{0.03}\right)^2[/tex]
[tex]n = 1032.5[/tex]
Rounding up, it is found that 1033 students would need to be sampled.
A similar problem is given at https://brainly.com/question/25420216
2.1÷6 long division
Answer:
0.35
Step-by-step explanation
6 ) 2.1 ( 0.35 <------- Quotient.
18
30
30
...
Solve 2x+3y-z=-4
3x+2y+2z=14
x -3z=-13
Answer:
1. x = -3/2 y+ 1/2z - 2
2. x = -2/3y + -2/3z + 14/3
3. x = 3z - 13
Step-by-step explanation:
solve for x
your thinking
2. A shipping box should weigh 1.0 pound. If
there is a 10% error on the weight, what is the
range of acceptable weight?
Answer:
.9 pounds to 1.1 pounds
Step-by-step explanation:
10% of 1.0 is .1, so it allows for a .1 addition or subtraction to the weight of the box
Answer:
the answer is 0.9-1.0
Step-by-step explanation:
the answer is that because my teacher gave me the answer
Please answer this correctly I only have a little bit of time
Answer:
1.Commutative
2.Associative
3.Distributive
4.Double Negative
Step-by-step explanation:
Hope this helps! :)
Answer:
1.commutative2.associative3.distributive4.double negetiveAccording to Siri every 5 inches of the map represents 3 miles of trails in the park how many inches on the map represents 9 miles on the park trails
Answer:
15 inches
Step-by-step explanation:
If 3 miles represents 5 inches and you want to know what represents 9 miles Just multiply 5*3 to get 15
What is the distance between 2 and 3 on the number line? Write the integer only. *
Answer:
1
Step-by-step explanation:
The distance between any two numbers on the number line is their difference:
3 - 2 = 1
_____
Any two consecutive integers have a distance between them of 1 on the number line.
what is the equation of the line that is parallel to the given line and passes through the point (2, 3)?
Given problems:
Line parallel that passes through (2,3);
Solution:
To solve this problem, we need to first understand what parallel lines are.
A parallel line is any two line that does not meet at any point.
In order to achieve this, both lines must have the same slope.
So, we find the slope of the given line and write in the form for a straight line.
Slope of line = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
let x₁, y₁ = (-2, -1)
x₂, y₂ = (2 , -3)
Now input the parameters and solve for the slope;
Slope of line = [tex]\frac{-3-(-1)}{2- (-1)}[/tex] = [tex]\frac{-2}{3}[/tex]
Any line that would be parallel to this must have the same slope.
Equation of a straight line;
y = mx + c;
y and x are the coordinates;
m is the slope
c is the y-axis intercept;
From (2, 3);
y = 3 and x = 2; m = [tex]\frac{-2}{3}[/tex]
3 = [tex]\frac{-2}{3}[/tex] x 2 + C
3 = [tex]-\frac{4}{3}[/tex] + C
C = [tex]\frac{13}{3}[/tex]
So the equation of the line is;
y = [tex]\frac{-2}{3} x[/tex] + [tex]\frac{13}{3}[/tex]
Multiply through by 3;
3y = -2x + 13
The equation of the line is 3y = -2x + 13
Answer:
x + 2y = 8
Step-by-step explanation:
Which of the following coordinates exists on the line y = 2x - 4?
O A. (1,-2)
O B. (-1,2)
O C. (-3,-5)
O D. (2,-4)
(1, -2) is the coordinates that exists on the line y = 2x - 4
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation of a line, we need to find that on which of the given points it lies,
So, we will put the points one by one, the point which stratify the equation will be the answer.
The equation :- y = 2x-4
1) (1, -2)
Put x = 1, y = -2 in the equation,
2(1)-4
= 2-4 = -2
LHS = RHS
Since, point (1, -2) satisfy the equation therefore, the line will pass through it.
Hence, (1, -2) is the coordinates that exists on the line y = 2x - 4
Learn more about equations, click;
https://brainly.com/question/29657983
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The ages of three siblings are all consecutive integers. The sum of their ages is 39. How old is the youngest sibling?
could anyone explain this in a 2 part answer
Answer:
Let x = the age of the youngest child
Let x + 1 = the age of the middle child
Let x + 2 = the age of the oldest child
x + x + 1 + x + 2 = 39
3x + 3 = 39
3x = 36
x = 12 years
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answer:
x-int: (-1.2, 0)
y-int: (0, -0.7)
Step-by-step explanation:
The x-intercept is the x value when y = 0.
Another way to reword that is when the graph crosses the x-axis.
The y-intercept is the y value when x = 0.
Another way to reword that is when the graph crosses the y-axis.
According to the graph, when y = 0 and when the line crosses the x-axis, the x-value is -1.2. Therefore, our x-intercept is (-1.2, 0).
According to the graph, when x = 0 and when the line crosses the y-axis, the y-value is -0.7. Therefore, our x-intercept is (0, -0.7).
please do 10 and 11
20 points!!!
Answer:
10. It will take 14 minutes for the balloon's elevation to change by -315 feet
11. mm I'm not sure but this answer was on Brainly before and they got 4 1/2 hours
Step-by-step explanation:
Hope this helps sorry I took long lol
define Standard form of a linear equation in ur own words
Standard form of a linear equation is an equation that shows the form a straight line. It has three constants which are A,B, and C. The two variables being X and Y.
Here is the linear equation.
Ax+By=C
A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the first two fence posts at (6, 0) and at (0, 25). The final fence post is on the property line at x = 30. Find the point where the trainer can place the final fence post.
Answer:
[tex]C = (30,500)[/tex]
Step-by-step explanation:
Given
[tex]Area = 1800ft^2[/tex]
[tex]A = (6,0)[/tex]
[tex]B = (0,25)[/tex]
[tex]C(x,y) = (30,y)[/tex]
Required
Determine the coordinates of C
The area of triangle is calculated as thus:
[tex]Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}[/tex]
This gives:
[tex]1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}[/tex]
[tex]1800= \frac{|6(25 - y) + 30(0- 25)|}{2}[/tex]
[tex]1800= \frac{|6(25 - y) + 30(-25)|}{2}[/tex]
[tex]1800= \frac{|150 - 6y -750 |}{2}[/tex]
[tex]1800= \frac{|150 -750- 6y |}{2}[/tex]
[tex]1800= \frac{|-600- 6y |}{2}[/tex]
Multiply through by 2
[tex]2 * 1800= |-600- 6y|[/tex]
[tex]3600= |-600- 6y|[/tex]
[tex]3600= |-(600+ 6y)|[/tex]
[tex]3600= 600+ 6y[/tex]
Solve for 6y
[tex]6y = 3600 - 600[/tex]
[tex]6y = 3000[/tex]
Solve for y
[tex]y = 3000/6[/tex]
[tex]y = 500[/tex]
Hence:
The point is:
[tex]C = (30,500)[/tex]
A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt." How many batches are represented by the diagram? mustard seeds (tsp) chili powder (tsp) salt (tsp)
you need to put a picture again
sorry i cant answer because it doesnt show diagram
What is the answer to -5x-10<20
Answer:
your answer is x< -2.... because 1st we have to take common between 5x and 10.
The value of the the expression:
50 times the sum of 64 and 36?
3,236
2,354
4,104
5,000
Answer:
5000
Step-by-step explanation:
Let's start by evaluating what we are given. 50 times the sum of 64 and 36. Ok, so 50 times which is the way to write x (multiply) and the sum of 64 and 36 is another way to write 64 + 36.
Lets put this together now!
50 x ( 64 + 36 ) = 50 x ( 100 )
= 5000
What is the quotient? (6x10) divided (1.5 x 10-4)
Answer:
5.4 hope this help
Eva is reading a book that is 400 pages.She has read 336 pages so far.What percentage of the book does she have left to read?
Plz tell me the answer I need helpp
Answer:
Eva has 16% of the book left to read
Step-by-step explanation:
Answer:
16%
Step-by-step explanation:
400-336=64
64÷400= 0.16
0.16x100=16
16% is your answer
Find the number such that the sum of that number and 25 is 48
Answer:
x = 23
Step-by-step explanation:
x + 25 = 48
x = 23....
Answer:
23
Step-by-step explanation:
You subtract 25 from 48
48 - 25 = 23
Heellllpppp plzzzzzzzzzzz
Answer:
3/32
Step-by-step explanation:
the reason it’s 3/32 is because you have to divide 3/4 divide by 8. So that means 3/4x1/8 and that gives you 3/32. I hope that helped you!
whats 8+0 lol
njxzzzzzzzzzzzzzaK
Answer:
8
Step-by-step explanation: