Answer:
The rule for dividing fractions is you multiply the first fraction by the reciprocal of the second fraction:
[tex]\frac{a}{b} :\frac{c}{d} = \frac{a}{b} * \frac{d}{c}[/tex]Solve for the given:
[tex]\frac{x+1}{y}: \frac{g+1}{h} =[/tex][tex]\frac{x+1}{y}* \frac{h}{g+1}[/tex]Correct choice is D
Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box
Answer:
Yes, we can
Step-by-step explanation:
H0 : μ = 9.75
H1 : μ > 9.75
n = 25 ; xbar = 9.85 ; σ = 0.27
The test statistic:
T = (xbar - μ) ÷ (σ / √n)
T = (9.85 -9.75) ÷ (0.27 ÷ √25)
T = 0.1 ÷ 0.054
T = 1.85
We can obtain the Pvalue from the test statistic using the Pvalue calculator :
Pvalue at t score = 1.85 ; 24 = 0.038
If Pvalue < α ; Reject H0
α = 0.05
Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box
Find XS, VY, and YZ. I am very confused on what to do.
Answer:
Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all the way up to the U. I hope this helps!
1/2 x 288 = ???????
What is the answer?
Answer:144
Step-by-step explanation:
Use a calculator
or 1/2 x 288 = 288/2 = 144
Answer: 144
Step-by-step explanation:
I'm assuming that the "x" in this statement is a multiplication symbol.
Multiplying any number by 1/2 or 0.5 is the same thing as dividing it by 2.
Therfore the answer is 288/2 which is 144.
1. Use ( − 4) 2 − 28 = 8 for the following: a. Explain why ( − 4) 2 − 28 = 8 has two solutions. (5 pts) b. Solve the equation to find the solutions. Show your work. (5 pts)
Well, ( − 4) 2 − 28 = 8 has two solutions because (-4) -w = 8 = ? once determined - 4 would equal 20 + the left over which is 8. This can be solved multiple ways and even backwards.
For the the equation (-4)² - 28 = 8 the solutions are x = 2 and x = -10.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation (-4)² - 28 = 8 has two solutions because when we square -4, we get 16.
When we subtract 28 from 16, we get -12.
But if we add 28 to -12, we get 16 again.
So we have two values of x that satisfy the equation: x = -4 and x = 4.
b. We can solve the equation by adding 28 to both sides:
(-4)² - 28 + 28 = 8 + 28
Simplifying, we get:
(-4)²= 36
Taking the square root of both sides, we get:
-4 = ±6
So the two solutions are:
x = -4 + 6 = 2
x = -4 - 6 = -10
Therefore, the solutions to the equation (-4)² - 28 = 8 are x = 2 and x = -10.
To learn more on Equation:
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Consider the system of quadratic equations
y = 3x^2 - 5x,
y = 2x^2 - x - c,
where c is a real number.
(a) For what value(s) of c will the system have exactly one solution (x,y)?
(b) For what value(s) of c will the system have more than one real solution?
(c) For what value(s) of c will the system have no real solutions?
Solutions to the quadratics are (x,y) pairs. Your answers will be in terms of c, but make sure you address both x and y for each part.
9514 1404 393
Answer:
(a) c = 4
(b) c < 4
(c) c > 4
Step-by-step explanation:
(a) The solutions to the system of equations can be found by substituting one expression for y into the other equation:
3x^2 -5x = 2x^2 -x -c
x^2 -4x +c = 0 . . . . . . . subtract the right side expression
The discriminant is
d = b^2-4ac = (4)^2 -4(1)(c) = 16-4c.
The system will have exactly one solution when d = 0.
16 -4c = 0
4 -c = 0
__
(b) There will be more than one real solution when d > 0
4 -c > 0
c < 4 . . . . two real solutions
__
(c) There will be no real solutions when d < 0.
4 -c < 0
c > 4 . . . . no real solutions
_____
Additional comment
The question posed here simply asks for a value of c. It does not ask for the solutions (x, y). We can count them without knowing exactly what they are.
It takes 24 hours to drive from town A to town B. At an average speed of 31 mph, how far is it?
Answer:
744 miles
Step-by-step explanation:
each hour is 31 miles
the drive is 24 hours
31*24=744
Answer:
744 miles
Step-by-step explanation:
How much salt is needed to fill a pit (rectangular) that is 8 m deep and 16 m wide and 4 m long? Show work
Answer:
512
16 · 4 = 64
64 · 8 = 512
Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help?
Answer:
9=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x²-9x+7=0
2x²-9x=-7
x²-9/2 x +(-9/4)²=-7+(-9/4)²
(x-9/4)²=-7+81/16=(-112+81)/16=-31/16
(x+(-9/4))²=-31/16
HELPPPP
This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 30 years old?
5 shoppers
7 shoppers
13 shoppers
17 shoppers
Answer:
It 13
Step-by-step explanation:
A baker uses a circular pan with a 24-inch diameter to make a pizza. What is the area of the pizza? Round to the nearest hundredths
A. 37.68
B. 75.36
C. 1808.64
D. 452.16
Answer:
D
Step-by-step explanation:
A = πr^2
A = π12^2
A = π144
A ≈ 452.16
Answer:
The answer is 452.16
Step-by-step explanation:
If you don't believe me you can use a circle calculator
In the figure below, find the mZ6, in degrees, if m2 = 75°?
87
413
50° 2
1
56
PLEASE HELPP
Answer:
75 degrees
Step-by-step explanation:
2 and 4 are vertical angles so 4 is 75.
4 and 6 are alternate exterior angles so have same value.
6 is 75 degrees.
What is the value of x in this octagon?
Enter your answer in the box.
Answer: 166 degrees
Step-by-step explanation:
An octagon has 1080 degrees in it. So just subtract all of the angles out of 1080.
1080-104-126-163-130-131-107-153= 166
ANSWER: 166 degrees
Answer:
166 degrees
Step-by-step explanation:
in an octagon, there are a total of 1080 degrees,
so we take all of the degrees we do know, and subtract them from 1,080 degrees! --- (1080-104-126-163-130-131-107-153= 166)
we end up with 166 degrees! :)
hope this helped!
If a team of minors drill a hole 50.4 m into a rock formation and drill at a steady rate of 2.8 m/min. how long does it take to drill the hole
Answer:
t = 18 minutes.
Step-by-step explanation:
We can find the time by using the following kinematic equation:
[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]
[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
Δy: is the difference between the initial and the final height = 50.4 m
t: is the time
a: is the acceleration
v₀: is the velocity of the drill = 2.8 m/min
Since the speed of perforation is constant, the acceleration is zero so:
[tex]\Delta y = v_{0}t[/tex]
Then, by solving the above equation for "t" we have:
[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]
Therefore, it takes 18 minutes to drill the hole.
I hope it helps you!
What type of counting problem is this?
Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
The type of counting problem is combination with repetition.
What is combination ?One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.
As johnny use a lot of condiments.
His mother tells him he may only make two additions to his meal.
He can add 2 condiments only twice, whether he already use them or not.
So, here we will use combination with repetition because here same condiments can be added twice that is two times.
So, in how many different ways can johnny improve his meal can be determined by combination with repetition.
Learn more about combination here:
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Answer:
10
Step-by-step explanation:
Find the 10th term of the geometric sequence show below
Answer:
-19,6830x^26
Step-by-step explanation:
The nth term of a geometric sequence is expressed as;
Tn -= ar^n-1
a is the first term
is the number of terms
r is the common ratio
Given
a = -10x^8
r = 30x^10/-10x^8 = -3x^2
n = 10
Substitute
a10 = (-10x^8)(-3x^2)^10-1
a10 = (-10x^8)(-3x^2)^9
a10 = -10x^8)(19,683)x^18
a10 = -19,6830x^26
Hence the tenth term is -19,6830x^26
Of 300 students in the cafeteria, 180 had lunch. Write the simplified ratio of the students in the cafeteria to the students that had lunch.
Answer:
300 : 180 = 5 : 3
Rearrange the equation so n is the independent variable.
3m-2n=12
Answer:
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
Step-by-step explanation:
we are given a equation
we want to make n the independent variable
to do so
move -2n to right hand side and change its sign:
[tex] \displaystyle 3m = 12 + 2n[/tex]
divide both sides by 3:
[tex] \displaystyle m = \frac{12 + 2n}{3} [/tex]
further simplification is needed:
[tex] \displaystyle m = \frac{12 }{3} + \frac{2n}{3} [/tex]
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
now m depends on n and n can be any value so we have rearranged n to independent variable
and we are done!
Answer:
M= 3/2n+4
Step-by-step explanation:
What is the domain of the square root function graphed below? On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3). x less-than-or-equal-to negative 1 x greater-than-or-equal-to negative 1 x less-than-or-equal-to 0 x greater-than-or-equal-to 0
Answer:
Its D
Step-by-step explanation:
Ed2021
Answer
x greater-than-or-equal-to 0
Step-by-step explanation:
yes
Cody is purchasing sports equiptment for $161.37. In Colorado, the sales tax is 2.9%. What is the total cost, including tax, on his purchase?
Answer:
$166.04
Step-by-step explanation:
take the price and add the percentage.
Answer:
166.05
Step-by-step explanation:
161.37x1.029
perimeter and area of a rectangular figure has a perimeter of 34cm its length is 9cm
Answer:
Perimeter of rectangle = 32
Step-by-step explanation:
32 = 2(L+B)
L+B=16
B=16-L
B=16–9
B=7
AREA = L*B
AREA = 63sq.cm
Select the compound inequality shown on the graph. -5 -4 -3 -3 -2 -1 0 1 2 3 4 5 5 o A. x>-1 and x 4, or -1 -1 and x < 2, or -1 -1 and x = 5, or -1
Answer:
c
Step-by-step explanation:
c is the only one containing the number three, which is shown on the graph.
Hey can you guys please help me understand. I need to find the answer to this question and my teacher explained how to do the assignment HORRIBLY. Please explain to me how you got the answer :)
mmm answer is 139.5 (C)
7x4.5=31.5
12x9=108
108+31.5=139.5
Answer:
A=139.5cm^2
Step-by-step explanation:
12x9=108---->Area of the rectangle A=l x w
9x7=63 divided by 2=31.5--->Area of the triangle A=1/2 (b x h)
108+31.5=139.5cm^2
Hope this helps and can you give me brainliest pls?
$987.65 is invested at 0.4% annual interest for 5 years.
a. Simple Interest b. Compound Interest
Answer:
I. Simple interest = $19.753
II. Compound interest = $1007.6
Step-by-step explanation:
Given the following data;
Principal = $987.65
Interest rate, R = 0.4%
Time, T = 5 years
To find the simple interest;
S.I = PRT/100
S.I = (987.65*0.4*5)/100
S.I = 1975.3/100
S.I = $19.753
II. To find the compound interest;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Substituting into the formula, we have;
[tex] A = 987.65(1 + \frac{0.4}{100})^{5}[/tex]
[tex] A = 987.65(1 + 0.004)^{5} [/tex]
[tex] A = 987.65(1.004)^{5} [/tex]
[tex] A = 987.65(1.0202)[/tex]
A = $1007.6
Please help: What is the area of this shape?
The period of a pendulum is the length
of time required to complete one swing
back and forth. If it takes 1.4 sec for a
0.49m pendulum to complete one period,
'What is the period of a 0.36 mpendulum?
Answer:
T₂ = 1.2 s
Step-by-step explanation:
The time period of a simple pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]
Where
L is length of the pendulum
g is acceleration due to gravity
We have,
T₁ = 1.4 s, L₁ = 0.49 m, L₂ = 0.36 m, T₂= ?
[tex]\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}} \\\\T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.4}{\sqrt{\dfrac{0.49}{0.36}}}\\\\T_2=1.2\ s[/tex]
So, the new time period is equal to 1.2 seconds.
Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?
Answer: c is the answer
C: 0.560
Step-by-step explanation:
!!!!I REALLY NEED HELP!!!!!
Which of the following statements uses communicative property of multiplication?
A.8x4=4x8
B.2x(9x5)=(2x9)x5
C.1x10=10
D.7x0=0
according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers
I need help with this
Answer:
7.5
Step-by-step explanation:
2. Bart and Jimmy's Ice Cream Shop are designing a new logo for their company. The logo is shown
below. What is the area of Bart and Jimmy's new logo?
A 88.26 cm?
B 74.13 cm
C 58.26 cm
D 44.13 cm
HURRY
Answer:
Marie Skłodowska-Curie
Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.
^ po polsku być powinno
Kto Polska?
In the figure TU is tangent to the circle at the U point. See below
Answer: 6
Explanation: 8 + 4 divided by 2 = 6
I know this is definitely the correct answer but I forgot which theorem it is. If you need any further explanation I will gladly try and find some more.