A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with O's representing Incorrect answers
and 1's representing correct answers, to answer the following question:
What is the probability of correctly guessing at random exactly one correct answer? Round to the nearest whole number.
Answer:
It is 4
Step-by-step explanation:
1/2 s + 3/4 s + 1/4 s + 4
1/2 s + 3/4 s + 1/4 s + 4
((2+3+1)/4)s +4
6/4 s + 4
3/2 s + 4
Answer:
3/2 + 4
Step-by-step explanation:
1/2+3/4+1/4= 3/2s
3/2s+4
A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity.
As the domain values approach negative infinity, the range values approach infinity. To which family of functions might
the described function belong?
reciprocal,
O square root
O exponential
O quadratic
Only quadratic function will follow the rule because it has even degree polynomial. Thus option D) Quadratic is correct.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given information;
A function is graphed on a coordinate grid.
As the domain values approach infinity, the range values approach infinity.
Domain: If x tends to infinity then
Range: y tends to infinity
As the domain values negative infinity, the range values approach infinity;
Domain: If x tends to negative infinity then
Range: y tends to infinity
Thus, Only quadratic function will follow the rule because it has even degree polynomial
Quadratic function: ax² + bx + c = 0
Degree = 2 and leading coefficient is positive.
Domain: [tex]x (- \infty, \infty)[/tex]
Range: [tex]y ( b, \infty)[/tex]
Hence, D is correct option.
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Consider the triangle reduction.
A larger triangle has side lengths 15.4 centimeters, 15.4 centimeters, and 12.4 centimeters. A smaller triangle has a side length of 3.85 centimeters that corresponds to the sides of the larger triangle with lengths 15.4 centimeters.
The perimeter of the original triangle is 43.2 cm. What is the perimeter of the reduced triangle?
Answer:
10.8 cm
Step-by-step explanation:
Answer:
yeah its just 10.8
Step-by-step explanation:
CAN YOU PLEASE HELP ME ITS URGENT I NEED IT TODAY I DONT UNDERSTAND
Answer: 188 are first year students, while
282 are not
Step-by-step explanation:
40% of 470=188
60% of 470=282
22) Two students are taking a math test. After 5 minutes, one student is done 1/3 and the
other is 2/8 done. How much ahead of the second student is the first?
Answer:
1/12Step-by-step explanation:
We need to find the difference in progress:
1/3 - 2/8 = 1/3 - 1/4 =4/12 - 3/12 = 1/12The first student is 1/12 ahead
Select the correct answer.
Simplify.
(m3)6 ./.m 18
Simplify the following expression: (3x+4)(x-1)(x-3)
Answer:
3x³ - 8x² - 7x + 12
Step-by-step explanation:
We multiply these terms, (so expand the brackets). Referring to the diagram attached, we multiply the first terms, outer terms, inner terms, and last terms.
Let's first look at the first two (we will do something about the third brackets later):
(3x+4)(x-1)
Firsts:
3x²
Outer:
-3x
Inner:
4x
Last:
-4
Now we combine:
3x² - 3x + 4x - 4
= 3x² + x - 4
So from the whole equation, we now have this:
(3x² + x - 4)(x - 3)
We do a similar thing here.
3x³ - 9x² + x² - 3x - 4x + 12
Simplify:
3x³ - 8x² - 7x + 12
HELP PLASEEEEEEEE!! amazing
Answer:
b
Step-by-step explanation:
Answer:
It would get MUCH hotter
Step-by-step explanation:
without water vapor to keep to plantet at an equilibrium it would get hotter which would boil the oceans making the earth more like venus
Find the value of f(3) for the function.
f(x) = - 7(x + 2)
Answer:
f(3) = -35
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -7(x + 2)
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = -7(3 + 2)Add: f(3) = -7(5)Multiply: f(3) = -35If you take the square root of a positive number then the result will be a real Integer (non decimal or fraction).
Always
Sometimes
Never
Answer:
sometimes
Step-by-step explanation:
the square root of 49 is 7, but the square root of two is 1.4142135623730951
Pls answer I will mark
ILL GIVE BRAINLIEST!! PLS HELP!!! Ten students are taking both algebra and drafting. There are 24 students taking algebra. There are 11 students who are taking drafting only. How many students are taking algebra or drafting but not both?
Answer:
15 students
Step-by-step explanation:
from the algebra = 24 - 10 = 14
from the draft = 11 - 10 = 1
14 + 1 = 15
the total students that are taking algebra or drafting but not both is 15 students
Answer:
algebra:34 drafting:21 (use only one answer)
Step-by-step explanation:
10 + 24 =34 for algebra
10 + 11 = 21 for drafting
Solve for x.
2x-1<7 and 5x+3<3
{x | x < 0}
{x | x < 4}
{x | 0 < x <4}
Answer:
X∈∅Step-by-step explanation:
(x + y)2, when x = 6 and y = 9.
Answer in screenshot.
When x = 6 and y = 9, the value of the expression (x + y)² is 225.
Given an expression:
(x + y)²
It is required to find the value of the expression when the value of x = 6 and the value of y = 9.
In order to find the required value of the expression when x = 6 and y = 9, it is required to substitute the value of x and y accordingly to the given expression.
So, substitute x = 6 and y = 9 in the expression (x + y)².
Then the expression becomes:
(x + y)² = (6 + 9)²
= 15²
= 225
Hence the value is 225.
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On my farm there are 10 brown horses and 8 mares(female horses).Can you conclude that there are 18 horses on my farm
Answer:
Yes
Step-by-step explanation:
You can conclude there are 18 horses because although some of the mares might be brown horses, the conjunction "and" implies the mares are in addition to the brown horses.
steve has received $200 in the form of a dividend. What type of income is this.
Answer:
passive income
Step-by-step explanation:
The number of ice cubes in a drink and the temperature of the drink, what kind of association is that
Answer:
An unary association
Step-by-step explanation:
PLZZZ WILLL GIVEEEE BRAINLEASTTTT The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?
2 and 109
2 and -109
-2 and 109
-2 and -109
Mia made three times as many baskets in yesterday’s basketball game as she did last Saturday. She scored a total of 24 baskets for both games. How many baskets did Mia score last Saturday?
Based on the information presented, it can be inferred that Mia made 8 baskets last Saturday.
How to calculate how many baskets Mia made last Saturday?To calculate the number of baskets Mia made last Saturday we must take into account the following information:
Yesterday she made 24 baskets.Last Saturday she made 3 times fewer baskets than yesterday.To calculate the number of baskets Mia made, we must divide 24 by 3 to find the number of baskets she made last Saturday.
24 ÷ 3 = 8So, it can be inferred that Mia made 8 baskets last Saturday.
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Lucy recently emptied her coin jar and counted the coins. 25% gold coins, 35% silver coins, 40% copper coins. If there were 80 coins in all, how many more silver coins than gold coins were there in the jar?
Answer:
There were 8 more silver coins than gold coins in the jar.
Step-by-step explanation:
Given that:
Total coins in the jar = 80 coins
Gold coins = 25% of total coins
Number of gold coins = [tex]\frac{25}{100}*80[/tex]
Number of gold coins = 20
Silver coins = 35% of total
Number of silver coins = [tex]\frac{35}{100}*80[/tex]
Number of silver coins = 28
Copper coins = 40% of total
Number of copper coins = [tex]\frac{40}{100}*80=32[/tex]
Difference between silver and gold coins = No. of silver coins - No. of gold coins
Difference = 28-20 = 8
Hence,
There were 8 more silver coins than gold coins in the jar.
Answer:
jjjhvgfxzeAWQ2
Step-by-step explanation:
JUGFHHHGFDFGHFDFGHG
CONVERT 4 1/2 TO A DECIMAL PLEASE I NEED THIS RN
Answer:
4.5
Step-by-step explanation:
1/2 of one is 0.5
add it to 4
4+ 0.5=4.5
The length of a rectangle is 2 more than twice the width. The area of the
rectangle is 60. Find the dimensions of the rectangle. What is the length of
the rectangle?
Answer: w=5 , L= 2+2(5)=12
Step-by-step explanation:
L=2+2W
A= 60
LxW=60, now we will replace the L
(2+2W)(W)=60 we multiply
2w^2+2w=60
2w^2+2w-60=0 we divide by 2 the equation so we can work easier
w^2+w-30=0
find out w using the quadratic equation
we will get 2 solution,
w=5 and another solution is -6, which is not valid, as the side can not be negative
I need help! (math) ..............
Answer:
b (0, 12)
Step-by-step explanation:
x must be 0 for a point to be a y-intercept so (0, 12) is a y-intercept because x=0
What number would you use to get rid of the fractions?*
1/2+1/5x=3/10x+4/5
Answer:
10
Step-by-step explanation:
multiplying each fraction by 10 gets of the fraction form
1/2 * 10 = 5
1/5x * 10 = 2x
3/10x * 10 = 3x
4/5 * 10 = 8
Forty students are in an after-school homework club. Twenty-five of the
students are boys. Which is the ratio of boys to the total number of students
in the club?
Answer:
Depend if the want it in lowest terms, it is either 25/40 or 5/8
Step-by-step explanation:
Solve equation by completing the square.
Find the range of the data in the box plot below.
Answer:
The range of the data is: 4.5 dollars
Step-by-step explanation:
From the diagram,
Smallest value = 5First Quartile = 5.5Largest value = 9.5Third Quartile = 7.5Median = 6The range is given by subtracting the smallest value from the largest value:
[tex]9.5 - 5 = 4.5[/tex]
Thus, the range of the data is: 4.5 dollars
The general form of a hyperbola is 9x2−5y2−54x−10y+31=0.
What is the standard form of this hyperbola?
Answer:
The standard form of this hyperbola is [tex]\frac{(x-3)^{2}}{5}-\frac{(y+1)^{2}}{9} = 1[/tex].
Step-by-step explanation:
From Analytical Geometry, the standard form of the hyperbola is defined by the following expression:
[tex]\frac{(x-h)^{2}}{a^{2}}-\frac{(y-k)^{2}}{b^{2}} = 1[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]a, b[/tex] - Semiaxis lengths, dimensionless.
[tex]h, k[/tex] - Coordinates of the center, dimensionless.
Let the hyperbola be defined by [tex]9\cdot x^{2}-5\cdot y^{2}-54\cdot x -10\cdot y +31=0[/tex], we proceed to derive the standard form by algebraic means:
1) [tex]9\cdot x^{2}-5\cdot y^{2}-54\cdot x -10\cdot y +31=0[/tex] Given
2) [tex](9\cdot x^{2}-54\cdot x)+(-1) \cdot (5\cdot y^{2}+10\cdot y)+31 = 0[/tex] Commutative and associative properties/[tex](-1)\cdot a = -a[/tex]
3) [tex](9\cdot x^{2}-54\cdot x + 81)+(-81)+(-1)\cdot (5\cdot y^{2}+10\cdot y +5)+(-1)\cdot (-5)+31 = 0[/tex] Modulative, distributive and associative properties/[tex](-1)\cdot a = -a[/tex]/Existence of the additive inverse
4) [tex](3\cdot x-9)^{2}+(-1)\cdot (\sqrt{5}\cdot y +\sqrt{5})^{2}+(-81)+5+31 = 0[/tex] Perfect trinomial square/[tex](-a)\cdot (-b) = a\cdot b[/tex]/Commutative property
5) [tex]9\cdot (x-3)^{2}+(-1)\cdot (5) \cdot (y+1)^{2}-45 = 0[/tex] Distributive property/[tex](a\cdot b)^{c} = a^{c}\cdot b^{c}[/tex]/Definition of addition and subtraction.
6) [tex]9\cdot (x-3)^{2}-5\cdot (y+1)^{2}= 45[/tex] [tex](-1)\cdot a = -a[/tex]/Compatibility with addition/Existence of additive inverse/Modulative property.
7) [tex]\frac{(x-3)^{2}}{5}-\frac{(y+1)^{2}}{9} = 1[/tex] Compatibility with multiplication/Definition of division/Distributive property/Result.
The standard form of this hyperbola is [tex]\frac{(x-3)^{2}}{5}-\frac{(y+1)^{2}}{9} = 1[/tex].
2 - 3x = -x - 8 Solve for X
Answer:
X=5
Step-by-step explanation:
(step 1) 2 - 3x = -x - 8
-3x + 2 = -x -8
(step 2)
-3x + 2 = -x - 8
-3 + 2 - 2 = -x -8 -2
(step 3)
-3x = -x- 10
(step 4)
-3 + x = -x -10 +x
(step 5)
-2x = -10
Answer
x = 5
