====================================================
Explanation:
6 in the sample of 50 are infected, so 6/50 = 12/100 = 12% are infected in the sample. We expect this percentage to carry over to the entire population assuming we picked a representative random sample that isn't biased.
12% of 6250 = 0.12*650 = 750 is the expected number of infected individuals in the population.
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Here's an alternative way you can solve through a proportion
(number infected)/(total) = (number infected)/(total)
6/50 = x/6250
6*6250 = 50x ... cross multiply
37500 = 50x
50x = 37500
x = 37500/50 ... divide both sides by 50
x = 750
What transformation of the parent function f(x) is made to get f(3x)?
Answer: Vertically shifting it by 3
The transformation of a function is horizontally shrink by a factor of 3 .
What is a horizontal shrink?We can apply horizontal shrink to a function by multiplying its input values by a scale factor, a, where 0 < 1/a < 1.Let’s go ahead and look at how f(x) = x2 will be affected by a scale factor of 1/2 and 1/3.
Below is a graph of the data.As we have expected, the graph stretches by a factor of 2 and 3. This is true for all horizontal stretches. The graph only stretches away from the y-axis when we horizontally stretch a graph.Horizontal stretch on other functions will exhibit similar properties. Let’s say we have f(x) = |x|, if this function’s graph is to be stretched horizontally to attain g(x), the new function’s expression can be expressed as |1/3 ∙ x| = |x/3|.How do you horizontally shrink by a factor of 3 ?
If g(x) = 3f (x): For any given input, the output of g is three times the output of f, so the graph is stretched vertically by a factor of 3. If g(x) = f (3x): For any given output, the input of g is one-third the input of f, so the graph is shrunk horizontally by a factor of 3.Learn more about Transformation on :
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Factor completely x3 + 8x2 − 3x − 24. (x − 8)(x2 − 3) (x + 8)(x2 + 3) (x − 8)(x2 + 3) (x + 8)(x2 − 3)
Answer:
(x + 8) (x² - 3)
Step-by-step explanation:
Given:
x³ + 8x² - 3x - 24
Find:
Factors
Computation:
x³ + 8x² - 3x - 24
x²(x + 8) -3(x + 8)
(x + 8) (x² - 3)
Factor of the given equation is (x + 8) (x² - 3)
Answer:
(x + 8) (x² - 3)
Step-by-step explanation:
help me solve please
Answer:
D) 16+4√2
Step-by-step explanation:
If the area of the triangle is 8, we use 1/2bh to find it. Since b and h are the same on this triangle, we find that 8=1/2(4)(4)
Now we know that the two sides of the parallelogram and the top two sides of the triangle are all 4. We just need to find the bottom of the parallelogram to know the perimeter. It’s the same as the hypotenuse of the right triangle.
4²+4²=c²
16+16=c²
32=c²
c=√32 Now we have all 5 sides.
4+4+4+4+√32
16+√32
16+4√2
2x + 5 = 22.
how can I write it in a scenario?
Answer:
Alexis sold 22 lemon cups, 5 of the cups she sold were large and the rest were small, how many small cups did she sell?
If 1 pound of grass seed costs 25x cents, represent in terms of x the cost of 7 pounds of seed? In polynomial simplest form
Answer:
175 cents
Step-by-step explanation:
25x=
25 • 7
25 • 7 = 175
Therefore the cost of 7 pounds of seed is 175 cents.
ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?
Answer:
A) (-3, 3) B) (-1, 1) C) (-2, 3)
Step-by-step explanation:
Select the correct answer. If x and y are positive real numbers, which expression is equivalent to the expression below? (125x^4y3/2)1/3÷(xy)1/2
Answer:
5x^(5/6)
Step-by-step explanation:
we will use properties of exponents
x^a/x^b = x^(a-b)
and
x^a * x^b = x^(a+b)
___________________________________
(125x^4y3/2)1/3÷(xy)1/2\\
expanding each term by taking power for each component of expression
=>125^(1/3) x^(4/3) y(3/2*1/3) ÷ x(1/2)y(1/2)
=>5*x^(4/3) y(1/2) ÷ x(1/2)y(1/2)
using property = x^a/x^b = x^(a-b)
=>5x^(4/3 - 1/2) y^(1/2 -1/2)
y^(0) = 1
=> 5x^((4*2-3)/3*2) *1
=> 5x^(5/6)
Thus, value of expression is 5x^(5/6)
Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 and one-fourth hours on his project. If k represents the amount of time that it took Karissa to complete her project, which inequality can be used to represent the situation?
Answer:
4 1/4 <_ 2K
Step-by-step explanation:
The inequality that represents the situation is k ≥ 2.125 hours.
What is Inequality ?Inequality is the statement where two algebraic expressions are equated using an inequality operator, <, >, <> etc.
Karissa takes k time to complete the project.
Oliver takes ≤ 2k
The time spent by Oliver is 4 1/4 = 17/4 = 4.25 hours
2k ≥ 4.25
k ≥ 2.125 hours
Therefore, the inequality that represents the situation is k ≥ 2.125 hours.
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Is my answer correct?
Answer:
Your answer is correct
Step-by-step explanation:
SAS triangle is proven through b option.
Hope this helps....
Have a nice day!!!!
what is the change in each term of the sequence? 0.8, 1, 1.2, 1.4, 1.6
Begin by studying the pattern.
Notice that the difference between 0.8 and 1 is 0.2.
In other words, 0.8 + 0.2 is 1.
In the same way, 1 + 0.2 is 1.2.
1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.
So we can see that the difference
between each of the terms is 0.2.
Answer:
+.2
Step-by-step explanation:
To find the common difference, take the second term and subtract the first term
1 - .8 = .2
Check by subtracting the second term from the third term
1.2 - 1 = .2
The common difference is .2
El reto consiste en convertir la igualdad en verdadera, haciendo 1 movimiento y luego, otra opción, haciendo dos movimientos. (no está permitido retirar fósforos)
12
Step-by-step explanation:
9+3 =12
pls make me brainiest
Step-by-step explanation:
Un movimiento:1 opción:
Del primer 9:
retirar el fósforo de la parte superior de tal manera que este nueve se convierte en 5 y colocarlo en la parte inferior del segundo nueve de tal manera que se convierte en 8:
5 + 3 = 8
2 opción:
en el primer nueve trasladar el fósforo vertical de la parte superior derecha a la parte inferior izquierda de tal manera que este se convierte en 6:
6 + 3 = 9
Dos movimientos:Del primer nueve retirar el fósforo vertical superior izquierdo de tal manera que este se convierte en 3 y ese fósforo colocarlo de forma vertical en la parte inferior izquierda del 3 y recorrer de este 3 el fósforo vertical superior derecho hacia la izquierda de tal manera que se convierte en 6:
3 + 6 = 9
a quadrilateral with two right angles must be an a trapezoid a square a rectangle or no classification guaranteed
Answer:
No classification guaranteed
Step-by-step explanation:
A parallelogram is a quadrilateral with 2 pairs of parrallel sides.
A rectangle has 4 right angles
A square has all 4 sides being congruent
A trapezoid only needs 1 pair of parrallel lines. However some trapezoids have no right angles but some do. In the context of your question it is probably a trapezoid. However, it is no classification guaranteed.
Is through BYU IS?
The correct option is Option A: a quadrilateral with only two right angles is a trapezoid.
What is a trapezoid?The quadrilateral whose one pair of opposite sides are parallel is called the trapezoid.
So, if one side of the trapezoid touches the parallel side at right angles then it will form 90° with both of the parallel lines. Then two right angles will be formed in the quadrilateral.
A trapezoid is only required quadrilateral to have a pair of parallel sides. However, a trapezoid can have one of the sides connecting the two parallel sides and perpendicular to the parallel sides which would give two right angles. The picture is given below.
Therefore quadrilateral with only two right angles is a trapezoid.
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Helen has an old laser printer that can print 900 pages in 1.5 hours. If the speed of printing remains constant, how
long will it take her to print a book of 600 pages? Express your answer in hours.
Answer:
1 hour
Step-by-step explanation:
No. of pages print in 1.5 hours = 900
dividing LHS and RHS by 1.5 so that we get 1 hour in LHS
no. of page print in 1.5/1.5 (1) hours = 900/1.5 = 600.
Thus, it takes 1 hour to print 600 pages.
Given that we have to find how
long will it take her to print a book of 600 pages.
Answer is 1 hour.
A girl scored 18 out of 25 in English language and p% in mathematics. if her average score is 78% , what is the value of p
Answer:
84%
Step-by-step explanation:
percentage of score in English=18/25*100
=72%.
72+p/2=78
72+p=156
p=84%
Mark me BRAINLIEST if helped
Tysm!
3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.
Answer:
35
Step-by-step explanation:
3x2=6
or if x is variable :18
2x3=6
2x3=6
+5
add them all up:
18+6+6+5=35
let me know if something is confusing.
The expression 6(x − 5) means the . If x = 7, the value of the expression is
Answer:
Hey there!
6(x-5)
6(7-5)
6(2)
12
Hope this helps :)
Answer:
12
Step-by-step explanation:
Replace x by 7 in 6(x-5) to be able to evaluate the expression.
● 6(x-5)
● 6(7-5)
● 6 × 2
● 12
So the expression is equal to 12 when x=7
Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900. Let B represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? 2)What is the least amount of money that Joe can spend to get the amount of rooms they need? Work not needed!
Answer:
The answer is below
Step-by-step explanation:
1) The number of rooms Joe company needs is 50. Let the number of rooms needed be n, this can be represented by the inequality:
n ≥ 50
Joe has already reserved 16 rooms, therefore the number of additional rooms needed to be reserved = 50 - 16 = 34 rooms. At least 34 rooms have to be reserved, if B is the number of additional blocks that Joe reserves, the inequality is:
B ≥ 34
2) Each block contains 8 rooms therefore the minimum number of block (a) needed to be reserved = 34/8 = 4.25 = 5 to the next whole number. Therefore the minimum number of blocks needed is given as:
a ≥ 5
Since each block cost $900, let c represent the minimum amount of money needed, therefore the least amount of money needed is given as:
c = $900(5) = $4500
c ≥ $4500
Here, we are required to determine which inequality describes the scenario in the question and the least amount of money that Joe can spend to get the amount of rooms they need.
(1) The inequality which best describes the scenario is; B ≥ 4.25.
(2) The least amount of money that Joe can spend to get the amount of rooms they need is; $4500
First, since they need at least 50 total rooms and Joe had already reserved 16 rooms.Therefore, Joe needs to reserve an additional 34 rooms to completely accomodate people who are going on the trip.And since, he can only reserve rooms in blocks with each block containing 8 rooms;The number of blocks he needs to reserve; B ≥ 4.25.
Therefore, since only whole blocks can be reserved, Joe needs to reserve 5 blocks.Therefore, since one block costs $900, then, 5 blocks will cost $900 × 5 = $4500.Read more:
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What is the slope of the line that passes through the points (−3,−3) and (−5,−2)? Write your answer in simplest form.
Answer:
[tex]\frac{1}{-2}[/tex]
Step-by-step explanation:
To do this you would do a formula that is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] so you would plug in the coordinates so you get [tex]\frac{-2-(-3)}{-5-(-3)}[/tex] which simplifies to [tex]\frac{1}{-2}[/tex] so the slope would be [tex]\frac{1}{-2}[/tex]
How many positive even factors of 48 are greater than 24 and less than 48
Answer: 0
Work Shown:
Factors of 48 = {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}
Erase the odd numbers of that list to get {2, 4, 6, 8, 12, 16, 24, 48}
Then highlight stuff that is greater than 24, and less than 48 at the same time.
No factors fit this description since 24 cannot be larger than itself, and 48 cannot be smaller than itself.
Answer: 0
Step-by-step explanation:
There is no number greater than 24 and less than 48.
A 3 liter bottle of juice costs $5.70
What is the unit price for 1 liter of juice?
Answer:
$1.90
Step-by-step explanation:
Divide 5.7 by 3 to get your answer.
[tex]\frac{5.7}{3}[/tex] = 1.9
Answer:
$1.90
Step-by-step explanation:
First, write out what you know.
So, you know that you have 3 liters.
Together, they cost $5.70.
You want to know the unit price, for 1 liter.
Therefore, you would divide $5.70 by 3:
[tex]\frac{5.70}{3}=\frac{1.90}{1}=1.90[/tex]
This means that the unit price, for 1 liter of juice, would be $1.90.
The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.
Answer: Width= 7 in.
Length= 10 in.
Step-by-step explanation:
[tex]l=w+3[/tex]
The perimeter of the rectangle is 34 inches.
[tex]2(w+l)=34[/tex]
substitute
[tex]2(w+w+3)=34[/tex]
[tex]2(2w+3)=34[/tex]
distributive property [tex]a(b+c)=ab+ac[/tex]
[tex]2\cdot 2w+2\cdot 3=34[/tex]
[tex]4w+6=34[/tex]
[tex]4w+6-6=34-6[/tex]
[tex]4w=28[/tex]
divide 4 on both sides
[tex]w=7[/tex]
Width is 7 inches
substitute w=7 in equation [tex]l=w+3[/tex]
[tex]l=7+3[/tex]
[tex]l=10[/tex]
Length is 10 inches
solve 15x²+8x+1÷ 2x-y
Answer:
\frac{\left(5x+1\right)\left(3x+1\right)}{2x-y}
Step-by-step explanation:
15x^2+8x+1:\quad \left(5x+1\right)\left(3x+1\right)
add on 2x -y as the denominator of the fraction
please help me answer this in variable terms and constant terms -5.6x + 7 + 24y - 9
Answer:
Variable terms:
x and y
Constant terms:
7 and -9
Coefficient terms:
-5.6 and 24
Sandy had test scores of 20, 25, 17, 22, and 21. What is the average (mean) score. On the next 3 test Sandy's score were 24, 24, and 23. What is her mean now?
Answer:
a) First Average mean = 21
b) Current mean = 22
Step-by-step explanation:
Formula For mean =
Sum of Terms/ Number of terms
a)Sandy had test scores of 20, 25, 17, 22, and 21.
Number of terms = 5
Mean = (20 + 25 + 17 + 22 + 21)/5
= 105/5
= 21
b) On the next 3 test Sandy's score were 24, 24, and 23
To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.
Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8
Mean = 176/8
Mean = 22
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
Answer:
[tex]y = \frac{-3}{4}x + 36[/tex]
Step-by-step explanation:
Data provided in the question
Height = 36 inches
Stant of the stairs followed that declines 9 inches for every 12 horizontal inches
Height = x
x = from top of the stairs
based on the above information
Therefore the change in rate is
[tex]\frac{-9}{12} = \frac{-3}{4}[/tex]
It depicts the line sloping.
Now the function would be determined by the line equation which is as follows
y = mx+c
[tex]m = \frac{-3}{4}[/tex]
where,
c = 36 inches
So, the function is
[tex]y = \frac{-3}{4}x + 36[/tex]
Answer:
Answer is A
Step-by-step explanation:
Please answer this question now
Answer:
113 degrees
Step-by-step explanation:
Measure of arc ADCB = 58+108+60 = 226 degrees
Measure of angle B = 226/2 = 113 degrees
Answer:50
Step-by-step explanation:
HELPP PLEASE I’ll give a brainlist
Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
Emily's family loves to work together in the garden.They have a slight preference for flowers, as 60\%60%60, percent of their plants are flowers and 40\%40%40, percent are vegetables. They have 505050 plants growing in the garden. How many vegetable plants do they have?
50 plants total, 40% are vegetables
40% = 40/100 = 0.40
40% of 50 = 0.40*50 = 20
Answer: There are 20 vegetable plantsHELPP AGAIN PLEASE!! 2/5 (10c -35) (the 35 is negative)
Answer:
4c - 14
Step-by-step explanation:
2/5 (10c -35)
Distribute
2/5 * 10c - 2/5 * 35
4c - 14
Answer:
See below.
Step-by-step explanation:
[tex]\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14[/tex]
