Answer:
A child psychologist is interested in the number of times a newborn baby’s crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby’s crying wakes its mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5.
P(x) = probability that X takes on a value x.
x P(x)0 P(x = 0) = 250
1 P(x = 1) = 1150
2 P(x = 2) = 2350
3 P(x = 3) = 950
4 P(x = 4) = 450
5 P(x = 5) = 150
Step-by-step explanation:
pa follow po pls.
Write the equation of the line that passes through the point (-3, 6) and is parallel to the line
whose equation is y=1/2x+5?
Please help me
Answer:
[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]
Answer:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the x-axis).Parallel lines always have the same slope (m)1) Determine the slope (m)
[tex]y=\displaystyle\frac{1}{2} x+5[/tex]
From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:
[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
I hope this helps!
What is the better buy?
16 oz of goldfish for $4.75
9 oz of goldfish for $2.50
Answer:
Maybe 9 oz, if I’m wrong sorry! D:
find the measure of ∠A.
Answer:
68 degrees
Step-by-step explanation:
Supplementary angles have sum 180°
5x+27+5x-7=18010x+27-7=18010x+20=18010x=160x=16<A=
5(16)+2780+27107°a small square garden has an area of 25 square yards. how long is each side of the garden?
Answer:
Step-by-step explanation:
A square has an area of base times height which is identical to base.
If x is the length of a side, A = x•x = x²
x² = 25
x = √25
x = 5 yards
X^+17x+72=12 factoring quadratic equation
Answer:
The first term is, x2 its coefficient is 1 .
The middle term is, -17x its coefficient is -17 .
The last term, "the constant", is +60
Step-1 : Multiply the coefficient of the first term by the constant 1 • 60 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -17 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19
-12 + -5 = -17 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -5
x2 - 12x - 5x - 60
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
5 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x-5) • (x-12)
Which is the desired factorization
Equation at the end of step
1
:
(x - 5) • (x - 12) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : x-5 = 0
Add 5 to both sides of the equation :
x = 5
Solving a Single Variable Equation:
2.3 Solve : x-12 = 0
Add 12 to both sides of the equation :
x = 12
Supplement : Solving Quadratic Equation Directly
Solving x2-17x+60 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = x2-17x+60
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000
Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :
y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 + 60.0
or y = -12.250
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-17x+60
Axis of Symmetry (dashed) {x}={ 8.50}
Vertex at {x,y} = { 8.50,-12.25}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 5.00, 0.00}
Root 2 at {x,y} = {12.00, 0.00}
Solve Quadratic Equation by Completing The Square
3.2 Solving x2-17x+60 = 0 by Completing The Square .
Subtract 60 from both side of the equation :
x2-17x = -60
Now the clever bit: Take the coefficient of x , which is 17 , divide by two, giving 17/2 , and finally square it giving 289/4
Add 289/4 to both sides of the equation :
On the right hand side we have :
-60 + 289/4 or, (-60/1)+(289/4)
The common denominator of the two fractions is 4 Adding (-240/4)+(289/4) gives 49/4
So adding to both sides we finally get :
x2-17x+(289/4) = 49/4
Adding 289/4 has completed the left hand side into a perfect square :
x2-17x+(289/4) =
(x-(17/2)) • (x-(17/2)) =
(x-(17/2))2
Things which are equal to the same thing are also equal to one another. Since
x2-17x+(289/4) = 49/4 and
x2-17x+(289/4) = (x-(17/2))2
then, according to the law of transitivity,
(x-(17/2))2 = 49/4
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-(17/2))2 is
(x-(17/2))2/2 =
(x-(17/2))1 =
x-(17/2)
Now, applying the Square Root Principle to Eq. #3.2.1 we get:
x-(17/2) = √ 49/4
Add 17/2 to both sides to obtain:
x = 17/2 + √ 49/4
Since a square root has two values, one positive and the other negative
x2 - 17x + 60 = 0
has two solutions:
x = 17/2 + √ 49/4
or
x = 17/2 - √ 49/4
Note that √ 49/4 can be written as
√ 49 / √ 4 which is 7 / 2
Solve Quadratic Equation using the Quadratic Formula
3.3 Solving x2-17x+60 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -17
C = 60
Accordingly, B2 - 4AC =
289 - 240 =
49
Applying the quadratic formula :
17 ± √ 49
x = —————
2
Can √ 49 be simplified ?
Yes! The prime factorization of 49 is
7•7
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 49 = √ 7•7 =
± 7 • √ 1 =
± 7
So now we are looking at:
x = ( 17 ± 7) / 2
Two real solutions:
x =(17+√49)/2=(17+7)/2= 12.000
or:
x =(17-√49)/2=(17-7)/2= 5.000
Two solutions were found :
x = 12
x = 5
Step-by-step explanation:
please mark my answer in brainlist
Evaluate. (w^2/x -3) ÷10 × z when w= -4, x = 0.8, and z = -4/5 Enter your answer as a simplified mixed number in the box.
Answer:
-1.36
Step-by-step explanation:
(-4^2/0.8-3)/10×-4/5=-1.36
Is x = 1 a function?
Answer:
Yes
Step-by-step explanation:
It is a constant linear function, which is in fact a function.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?
hmm let's do that with synthetic division, Check the picture below.
The radius of a cirdle is (x+ 4)cm. Find the area of the circle in
terms of the variable x Leave the answer in term of π
Answer:
50.24 cm
Step-by-step explanation:
50.24 cm
2
Explanation:
Using the formula,
Area
=
π
×
r
2
Here
π
is a button on your calculator you can find, but is also generally known as
3.14
, you can use either one, but teachers usually prefer you use the
π
button.
r
=
the radius, in your case, it's
4 cm
So
Area
=
π
×
r
2
=
π
×
(
4 cm
)
2
=
16
π
cm
2
≈
50.24 cm
2
How much would $125 invested at 8% interest compounded continuously be
worth after 16 years? Round your answer to the nearest cent.
A(t)= Poet
A. $428.24
B. $285.00
C. $449.58
D. $367.26
c$449.58
hfufhfthcuxjyfus4hxtstcyztf
Marking as brainliest rn ! Write the congruent statement
Answer:
Same thing here as the last question, just matching congruent angles.
1. ΔXZY ≅ ΔQRP
2. ΔQRS ≅ ΔSCD
3. ΔGHI ≅ ΔGHT
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Answer:
1.) ΔXZY ≅ ΔQRP
2.) ΔQRS ≅ ΔSCD
3.) ΔGHI ≅ ΔGHT
Hope this helps!
y’all please help me
Write 7% as a fraction or mixed number in simplest form
Answer:
7/100
Step-by-step explanation:
:)
Evaluate the following linear equation y = 7x - 2, when x = 3.
20 points
Answer:
y = 19
Step-by-step explanation:
y = 7x - 2
=> y = 7(3) - 2
=> y = 21 - 2
=> y = 19
Therefore, y = 19
Hoped this helped.
will mark as brain list plzzz help no links
Answer:
Step-by-step explanation:
the answer is 10
What is equivalent to 6 + 3 x 9 - 4
Answer:
29
Step-by-step explanation:
6 + 3 x 9 - 4
6 + 27 - 4
33 - 4
=29
A rectangular poster has a area of 504 centimeters. The width of the poster is 14 centimeters. How long is the poster?
Answer:
36 cm
Step-by-step explanation:
504/14=36
20% of 50. Mathmethics
Answer:
1000%
Step-by-step explanation:
just multiply both
brainliest pls
Answer:
10
Step-by-step explanation:
20 x 50
100
expand and simplify (3x-2)2
Answer:
9x² - 12x + 4
Step-by-step explanation:
(3x - 2)² = (3x - 2)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor , that is
3x(3x - 2) - 2(3x - 2) ← distribute both parenthesis
= 9x² - 6x - 6x + 4 ← collect like terms
= 9x² - 12x + 4
plss do the working
Answer:
1386
Step-by-step explanation:
V=πr²*h
V=22/7*7²*9
V=1386
What is the discriminant of the polynomial below?
4x2 - 20x+ 25
O A. -360
O B. o
O C. 300
O D. -20
Answer:
B. 0
Step-by-step explanation:
ax² + bx + 1 = 0
discriminant = b² - 4ac
4x² - 20x + 25
a = 4
b = -20
c = 25
b² - 4ac = (-20)² - 4(4)(25) = 400 - 400 = 0
Answer: B. 0
A wading pool containing 100 gallons of water is leaking at a rate of 5 gallons per minute. At this rate, it will be empty in 20 minutes.
Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/3 mile
How many students will a team need to complete the race? Circle the correct number below
Answer:
9 students
Step-by-step explanation:
If 1 student runs a 3rd we need 3 students to run 1 mile.
Since we need 3 times that amount of miles we multiply the amount of students it takes to run 1 mile so that we find out how many we need to run 3 miles.
3 x 3 = 9
They will need 9 students I hope this helps have a great day :)
explain how the model represents 5/ 1third
Here is ur perfect answer
Trey has bought 10 pounds of dog food. He feeds his dog
pounds for each meal. For how many meals will the food last?
Write your answer in simplest form
how many pounds does he feed his dogs for each meal?
For every 0.3048 meters, there is one foot. Determine the number of feet in 7.9248 meters. Use paper to support your answer.
There are ??
feet in 7.9248 meters.
MTH208 Graded Assignment Unit 5 Test, Part 2. Relationships of Right Triangles, Including Trigonometry
(Score for Question 3:
of 5 points)
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work
А
30
14 cm
B
Answer:
PLEASE HELP do. Not comment just to get points.
Answer: 14 cm
Step-by-step explanation: A right triangle is an isosceles triangle.
Interest and fees
the total cost of a credit purchase.
A. maintain
O B. decrease
C. do not affect
D. increase
Answer:
D. increase
Step-by-step explanation
Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.
Answer:
B
Step-by-step explanation:
Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!
At a local corner store, the cost of a bag of chips at the corner store is $1.30, and the
cost of a banana is $1.40. What would it cost to get 4 bags of chips and 5 bananas?
What would it cost to get a bags of chips and y bananas?
Total cost, 4 bags of chips and 5 bananas:
Total cost, x bags of chips and y bananas:
Submit Answer
attempt 2 out of a problem 1 out of maxi
Answer:
1- 12.20$
2- 1.30$ + 1.40y$
3- 1.3x + 1.4y
Step-by-step explanation:
input unknown values using x and y
Can someone please help me
Answer:
Answer for question 16 $24.64
Answer:
$3.36
17. 31%
18 $ 24.50
Step-by-step explanation:
28 x 0.12 = $3.36
17. 484 - 333.96 = 150.04
What percentage is 150.04 of 484
X/100 = 150.04/484 (% / 100 = is/of)
= 31%
8. 35 x 0.30 = 10.50
$35 - $10.50 = $24.50
