Answer:
y = -5/4x + 1
Step-by-step explanation:
x^2+11x+15=30
find x
After simplifying the equation we acquire the value of x as:
x = 1.225 or x = ₋12.225
Given the equation is x² ₊ 11x ₊ 15 = 30
arrange the constants on one side.
x² ₊ 11x = 30 ₋ 15
x² ₊ 11x = 15
x² ₊ 11x ₋ 15 = 0
now simplify the equation using the formula: -b±√b²₋4ac / 2a
in the equation we have the values for a = 1 , b = 11 and c = ₋15
substitute the values and get the value of x.
= ₋11 ± √(11)² ₋ 4(1)(₋15) / 2(1)
= ₋11 ± √121 ₊ 60 / 2
= ₋11 ± √181 / 2
= ₋11 ± 13.45 / 2
= ₋11 ₊ 13.45 / 2 or ₋11 ₋ 13.45 / 2
= 2.45/2 or ₋24.45/2
= 1.225 or ₋12.225
Therefore x value is 1.225 or ₋12.225
Learn more about Factorization here:
brainly.com/question/25829061
#SPJ9
Differences between two samples are least likely to be statistically significant if the samples are _____ and the standard deviations of the samples are _____.
If the samples are large and the standard deviations are small, the differences between the two samples are least likely to be statistically significant.
How does standard deviation work?The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
Why is statistical significance important?"Statistical significance precision" tells us, in Redman's words, "whether a result is probably caused by chance via some factor of interest." A significant finding simply means that you should consider it. can be sure that it is true and not that you were just lucky (or unlucky) in the sample you chose.
To know more about standard deviation visit:
https://brainly.com/question/13905583
#SPJ4
Find the indicated measure
I will give brainliest to the right answer with solution
Answer:
∠ N = 10° , arc RS = 134°
Step-by-step explanation:
the measure of an inscribed angle is half the measure of its intercepted arc.
(5)
∠ N is an inscribed angle and we require arc LM
the measure of the arcs in a circle = 360°
note LN is the diameter so arc LN = 180°
Then
LM + MN + LN = 360°
LM + 160° + 180° = 360°
LM + 340° = 360° ( subtract 340° from both sides )
LM = 20°
then
∠ N = [tex]\frac{1}{2}[/tex] LM = [tex]\frac{1}{2}[/tex] × 20° = 10°
(6)
∠ Q is an inscribed angle so its intercepted arc is twice its measure
arc RS = 2 × 67° = 134°
Suppose a population consists of 850,000 people. Which of the following
numbers of members of the population being surveyed could result in a
parameter but not a sample statistic?
A. 8500
B. Neither 8500 nor 850,000
C. Both 8500 and 850,000
D. 850,000
Answer:
what give a pasia what do in
Answer:
A. 8500
Step-by-step explanation:
All the other asnwers are correct!
I need help asap!! 20 points!!
a book weighs 4 3/8 pounds. a store needs to mail 5 copies of the book.
create an equation to find how many pounds the books weigh in all.
Equation of the book on how many pound the books weigh is T = w*n and the weight of the books is 175/3 pounds.
It is given in the question that the book weighs 4 and 3/8 pounds and the number of copies that are needed to mail are 5.
We have to find the equation to find the weight of 5 copies of the book.
The equation will be:-
Total weight of books = Weight of 1 book * Number of copies of book
Let total weight be T
Let weight of 1 book = w
Let number of copies of a book = n
Hence, equation becomes:-
T = w*n
We can find the total weight of the books.
T = (4 and 3/8 )*5
T = (35/3)*5
T = 175/3 pounds
To learn more about equation, here:-
https://brainly.com/question/10413253
#SPJ4
which answer???????
plss
Answer:
I am not sure myself but I think the answer is 2.3 hours per week.
a bottle weighs 300gand holds 630ml,how much does it weight if i fill it with water
If a bottle weighs 300g and can hold 630ml, then it will weigh approximately 930g when filled with water.
As per the question statement, a bottle weighs 300g and can hold 630ml.
We are required to find out the weight of the bottle when it is filled up with water.
To solve this question, we need to know about the concept of density of a substance, i.e.,
[tex]Density=\frac{Mass}{Volume}\\ or, Mass=[Density*Volume][/tex].
And density of water is 1gm/ml, i.e., 1gm of water has a mass of 1ml.
Using the above info, we will calculate the mass of 630ml of water and then we will have to add up the mass of water and the mas of the bottle to obtain our desired answer.
Using the unitary method, if 1ml of water has a mass of 1gm, then,
630 ml of water has a mass of [tex](630*1)=630\\[/tex] gms.
Hence, total weight of the bottle filled with water will be
[tex](630+300)=930[/tex] gms.
Density: Density is the measure of degree of compactness of a substance, calculated as the ratio of Mass to volume of a substance.Unitary Method: This is a technique for solving a problem where first, we find the value of a single unit, and then find the necessary value by multiplying the single-unit value.To learn more about Unitary Method, click on the link below.
https://brainly.com/question/23423168
#SPJ9
How do I solve this question?
DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
∠TAC = ∠ABC (The angle between the chord and the tangent is equal to the angle in the alternate segment)
Since, EDCB is a cyclic quadrilateral,
∠CBD + ∠CED = 180 ----- I
- ∠CED + ∠AED = 180 -----II
----------------------------------------------------
∠ CBD = ∠AED
Also, ∠ CBD = ∠ EAT( A is tangent to the circle)
So, ∠ EAT = ∠ AED ( Alternate interior angle)
So, DE || ST
Therefore, DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
Learn more about alternate interior angles here:
https://brainly.com/question/24839702
#SPJ9
simplify 3a x 5b x 5b x 6c