Answer:
The independent variable in Pedro's experiment is the winds ( its presence and absence)
Step-by-step explanation:
The independent variable is the variable whose values do not depend on the values of another variable. It is also known as the input variable.
In the case study, the independent variable in Pedro's experiment is the winds ( its presence and absence)
a closet of towels contains exactly 10 white towels. the probability of choosing a white towel from the closet is 2/5. how many of the towels in the closet are not white?
Hey there! :)
Answer:
15 towels.
Step-by-step explanation:
We are given:
10 white towels
P( choosing a white towel) = 2/5.
Find the total number of towels in the closet:
2/5x = 10
Divide both sides by 2/5:
2/5x · (5/2) = 10 · (5/2)
x = 25.
Subtract the number of white towels from the total to find the number non-white towels:
25 - 10 = 15 towels.
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply. x = one-half y minus 3 2 x minus y = negative 6 2 x minus y = negative 3 x = one-half (y minus 3) y = 10 (x minus 1)
Answer:
Step-by-step explanation:
Represent the larger and the smaller numbers by y and x. Then:
y = 10(x - 1) and x = (y/2) - 3
Smaller number is 3 less than half a larger number is x=y/2-3 and larger number is 10 times 1 less than the smaller number is y=10(x-1)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that x represent the smaller number
Let y represent the larger number.
A smaller number is 3 less than half a larger number.
Half a larger number means 1/2 of y which is y/2.
3 less than half a larger number means y/2-3.
So smaller number is 3 less than half a larger number is x=y/2-3.
The larger number is 10 times 1 less than the smaller number.
The times in the sentence means product or multiplication.
So it can be represented by the equation as shown
y=10(x-1)
Hence, smaller number is 3 less than half a larger number is x=y/2-3 and larger number is 10 times 1 less than the smaller number is y=10(x-1).
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A wall of a building is 30 inches wide.Sixteen inches is concrete,10 inches is brick, and 4 inches is limestone . What fraction of the wall is limestone
Answer:
[tex]Fraction = \frac{2}{15}[/tex]
Step-by-step explanation:
Given
Wall = 30 inches
Concrete = 16 inches
Brick = 10 inches
Limestone = 4 inches
Required
Fraction of the wall that is limestone
The fraction of limestone is calculated as follows;
[tex]Fraction = \frac{Size\ of\ limestone}{Size\ of\ wall}[/tex]
Substitute 4 for size of limestone and 30 for size of size of wall
The formula becomes
[tex]Fraction = \frac{4}{30}[/tex]
Divide numerator and denominator by 2
[tex]Fraction = \frac{4/2}{30/2}[/tex]
[tex]Fraction = \frac{2}{15}[/tex]
The fraction can not be further simplified; hence, the fraction of limestone is [tex]\frac{2}{15}[/tex]
Answer:
2/15
Step-by-step explanation:
Fractions can be found by dividing the part by the whole.
part/whole
In this problem, the part is the limestone portion of the wall and the whole is the total width of the wall.
limestone/total
16 inches are concrete, 10 inches are brick and 4 inches are limestone. The total width is 30 inches.
limestone = 4
total = 30
4/30
This fraction can be simplified. Both the numerator and denominator can be evenly divided by 2.
(4/2) / (30/2)
2/ (30/2)
2/15
This fraction cannot be simplified further, therefore it is our answer.
2/15 of the wall is limestone.
Please help ASAP. Plz answer top question thanks so much. Your help is much appreciated.
Answer:
It 7 hours and 5 minutes to complete the race because it would be 8 times 50 which equals 400 and 400 plus 250 which equals 650 and 650 divided by 60 is 7.5 which is 7 hours and 5 minutes I believe so 7.5 is the answer
Hope it helps :D
Factor 2x^2+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors
Answer:
[tex]\boxed{(x+10)(2x+5)}[/tex]
Step-by-step explanation:
=> [tex]2x^2+25x+50[/tex]
Using mid-term break formula
=> [tex]2x^2+20x+5x+50[/tex]
=> 2x(x+10)+5(x+10)
Taking (x+10) common
=> (x+10)(2x+5)
"The assumption that is necessary for a linear programming model to be appropriate and that ensures that the value of the objective function and the total resources used can be found by summing the objective function contribution and the resources used for all decision variables is known as"
Answer:
Is known as "Additivity"
Step-by-step explanation:
Additivity is an assumption in linear programing that hold that the sum of individual resources used by each product separately determines the total amount of resources used which implies that there exist no interaction between the decision variables.
A population numbers 12,000 organisms initially and grows by 10.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a ⋅ b t where
Answer:
[tex] P= a b^t[/tex]
And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:
[tex]b= 1+0.108 = 1.108[/tex]
And then our model would be given by:
[tex] P = 12000 (1.108)^t[/tex]
Step-by-step explanation:
For this case if we want to find a model for the population number after some time t we can use the following general model:
[tex] P= a b^t[/tex]
And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:
[tex]b= 1+0.108 = 1.108[/tex]
And then our model would be given by:
[tex] P = 12000 (1.108)^t[/tex]
VERY MAD NOONE WILL ANSWER ME
Answer: Only C
Step-by-step explanation:
Equation C simplified to 0 = 0, meaning x has no effect on the equation and cancels out. Thus, it can be any value.
How are ΔABC and ΔADE related?
Answer:
They are congruent
Step-by-step explanation:
How many grams of fat in 96g of margarine
Answer:
11g's of fat are in 96g's of margarine
Step-by-step explanation:
What is the measure of ∠x
Answer:
the measure of x is 64°.
Step-by-step explanation:
here,
angle I=60° (being corresponding angle)
now, angle A+angle I +angle B = 180°(sum of interior angle of a triangle is 180°)
or, x+56°+60°=180°
or, x= 180°-116°
therefore the measure of x is 64°.
hope it will help uh..
Answer:
I would say about 85º
Step-by-step explanation:
If we make a logical guess/hypothesis, 85º is a slightly tilted right angle.
I'm sorry if my hypothesis is wrong :(
Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot? x2 + 2x + 4 = 0 x2 – 2x + 4 = 0 x2 + 2x – 4 = 0 x2 – 2x – 4 = 0
Answer:
x^2 - 2x - 4 = 0.
Step-by-step explanation:
Written in factor form we have:
(x - ( 1 + √5)( x - (1 - √5)) = 0
(x - 1 -√5)( x - 1 +√5)) = 0 Expanding:
x^2 - x +√5x - x + 1 - √5 - √5x + √5 - 5 = 0
x^2 - 2x - 4 = 0.
Answer: D!!!!!!!
Step-by-step explanation:
plz help !! write two real world situations that you can model using the exponential function f(x)=2 to the power of x
Answer:
Two real world situations are shown below.
Step-by-step explanation:
Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is
[tex]f(x)=1(2)^x[/tex]
[tex]f(x)=(2)^x[/tex]
A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is
[tex]f(x)=1(2)^x[/tex]
[tex]f(x)=(2)^x[/tex]
If triangle ABC is reflected across the y-axis, what are the coordinates
of A'?
(4, -5)
(-5, 4)
(-4, 5)
(5, -4)
Point A is located at (5,4)
To reflect over the y axis, we flip the sign of the x coordinate while keeping the y coordinate the same. The rule is [tex](x,y) \to (-x,y)[/tex]
So we will have [tex](5,4) \to (-5,4)[/tex] as the location of A'
what is the perimeter of P:(2,2) Q:(6,2) R:(6,5) S:(2,5)
Answer: 14
Step-by-step explanation:
P(6)- Q(2) = 4
Q(5) - R(2) = 3
R(6) - S(2) = 4
S(5) - P(2) = 3
4 + 3 + 4 + 3 = 14
Brainliest is appericiated!
Answer:
Perimeter = 14
Step-by-step explanation:
to find the perimeter first find the distance between the two points :
d=√((x2-x1)²+(y2-y1)²)
PQ:(2,2)(6,2)
d=√(6-2)^2+(2-2)^2
= √16=4
PQ=4
RS: (6,5),(2,5)
d=√(6-2)^2+(5-5)^2
d=4
RS=4
QR:(6,2),(6,5)
QR=3
SP(2,5),(2,2)
SP=3
perimeter=2length+2width
P=2l+2w
p=2(4)+2(3)
p=8+6=14
What’s an constant in numbers
Answer:
Always the same variable.
Step-by-step explanation:
When the question says "x is always constant", it means that the x variable does not change, and it is always the same number.
Answer:
Step-by-step explanation:
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
What is the perimeter of quadrilateral DOBC?
Answer:
Hey there if you meant the picture below, I wrote the answers for you
Step-by-step explanation:
Hope my you understand my handwriting
8+8+6+6
And that how to get your answer
By xBrainly
Jake’s Cameras purchased a digital camera at a wholesale cost of $80. They marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the camera didn’t sell, the store reduced the selling price by 25 percent. After how many monthly price reductions did the price dip below the wholesale cost?
Answer:
2 months
Step-by-step explanation:
$80 x 0.5 = $40
$80 + $40 = $120
$120 * 0.25 = $30
1st month - $120-$30 = $90
2nd month - $90-$22.5 = $67.5
Answer:
AFTER 2 MONTHS
Step-by-step explanation:
BRAINLIEST! HELP ASAP MATH PLSSS
Answer: The answer would be the second one.
Step-by-step explanation:
It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.
Yo tenía $ 2.00. Mi mamá me dio $ 10.00. Mi papá me dio $ 30.00. Mi tía y mi tío me dieron $ 100.00. Yo tenía otros $ 5.00. Cuánto tenía? La respuesta correcta será eliminada. Gané contra: Vero verito
Answer:
$147
Step-by-step explanation:
$2.00+$10.00+$30.00+$100.00+$5.00
=$147
El dinero total que tenía será de $ 147.00
Dado lo siguiente
La cantidad tenía inicialmente = $ 2.00
La cantidad dada por mamá = $ 10.00
La cantidad recibida de papá = $ 30.00
La cantidad recibida del tío y la tía = $ 100.00
Si tuviera otros $ 5,00
La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:
Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00
Dinero total que tenía = $ 147.00
Por lo tanto, el dinero total que tenía será de $ 147.00.
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A school has 300 eighth-grade students and 200 ninth-grade students. The secretary randomly selects 12 eighth-grade students and 8 ninth-grade students to obtain a sample of size 20. What kind of sampling is this?
Simple random sampling
Stratified random sampling
Systematic sampling
Convenience sampling
Answer:
stratified random sampling
Step-by-step explanation:
an iscoclees triangle may be right or acute but never obtuse
Answer:
An isosceles triangle is a triangle in which the two sides of the polygon are equal as well as the angles opposite to these sides are also corresponding
Personnel selection. Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 12 finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females?
Answer:
The answer is below
Step-by-step explanation:
The possible ways of choosing r items from a total of n item is given as C(n,r) = [tex]\frac{n!}{(n-r)!r!}[/tex]
Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.
Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:
[tex]Total\ number\ of \ outcome (n(s))=C(12,5)=\frac{12!}{(12-5)!5!} =792[/tex]
A) 3 females and 2 males
The possible ways of choosing 3 females and 2 males is given as:
[tex]n(e)=C(6,3)*C(6,2) = \frac{6!}{(6-3)!3!}* \frac{6!}{(6-2)!2!}=20*15=300[/tex]
probability of selecting 3 females and 2 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{300}{792}=0.379[/tex]
B) 4 females and 1 males
The possible ways of choosing 4 females and 1 males is given as:
[tex]n(e)=C(6,4)*C(6,1) = \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=15*6=90[/tex]
probability of selecting 4 females and 1 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{90}{792}=0.1136[/tex]
C) 5 females
The possible ways of choosing 5 females is given as:
[tex]n(f)=C(6,5) = \frac{6!}{(6-5)!5!}=6[/tex]
probability of selecting 5 females = [tex]\frac{n(f)}{n(s)}=\frac{6}{792}[/tex]
(D) At least 4 females
This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)
The possible ways of choosing atleast 4 females is given as:
[tex]n(h)=C(6,5)*C(6,4)*C(6,1)= \frac{6!}{(6-5)!5!}* \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=6*15*6=540[/tex]
probability of selecting atleast 4 females = [tex]\frac{n(h)}{n(s)}=\frac{540}{792}[/tex]
** BRAINLIEST IF ANSWERED**
The area of the regular hexagon is 50 in sq. What is the measure of the apothem? *
10 in
2 in
25 in
5 in
Answer:
Area of apothem is 8.33 inches
Step-by-step explanation:
Mathematically,
Area of hexagon = 1/2 * apothem * number of sides * length of side
Area = 50 in square
apothem = ?
number of sides = 6
Length of side = 2 inches
Substituting the values, we have;
50 = 1/2 * A * 6 * 2
50 = 6A
A = 50/6
A = 8.33 inches
what is 20 times 13 times 50?
Answer:
=13000
Step-by-step explanation:
20×13×50
=1000×13
=13000
Answer:
13 000
Step-by-step explanation:
we use associativity20 × 13 × 50 =
= (20×50) × 13
= 1 000 × 13
= 13 000
Rashan says that –6 ÷ 2 = -3. Which multiplication expression can he use to check his answer?
Answer:
-3(2) = -6
Step-by-step explanation:
Simply multiply -3 and 2 to check his answer.
Answer:
-6 = -3*2
Step-by-step explanation:
–6 ÷ 2 = -3
Multiply each side by 2
–6 ÷ 2*2 = -3*2
-6 = -3*2
Point E has coordinates (-11, 7), and point F has coordinates (-5, 1). To the nearest unit, what is the distance between the two points?
Answer:
8 units
Step-by-step explanation:
We can use the distance formula. Recall the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-11,7) be [tex]x_1[/tex] and [tex]y_1[/tex], and (-5,1) be [tex]x_2[/tex] and [tex]y_2[/tex]
Plug in the numbers:
[tex]d=\sqrt{(-5-(-11))^2+(1-7)^2[/tex]
[tex]d=\sqrt{6^2+(-6)^2}[/tex]
[tex]d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8[/tex]
Dara drove from home to the airport to pick up her
friend and then came back home on the same route.
Her average speed on the way to the airport was
55 miles
per
hour (mph), and her average speed on
the way back home was 45 mph. If the total driving
time was 1 hour and 20 minutes, how far, in miles, is
the airport from Dara's home?
Answer:
33 miles
Step-by-step explanation:
Trip to airport:
distance = d1
speed = s1 = 55 mph
time = t1
Trip home:
distance = d2
speed = s2 = 45 mph
time = t2
We are told the same route was used for both trips, so
d1 = d2
The total time was 1 hr 20 min = 1 hr + 20/60 hr = 4/3 hr.
t1 + t2 = 4/3
t2 = 4/3 - t1
speed = distance/time
distance = speed * time
d1 = s1 * t1
d2 = s2 * t2
d1 = d2, so
s1 * t1 = s2 * t2
t2 = 4/3 - t1; s1 = 55; s2 = 45
55 * t1 = 45(4/3 - t1)
55t1 = 60 - 45t1
100t1 = 60
t1 = 0.6
The time to get the the airport was 0.6 hr. Now we find the distance.
d1 = s1 * t1
d1 = 55 * 0.6
d1 = 33
The distance is 33 miles.
The airport is at a distance of 33 miles from Dara's home.
What is the relation between speed, distance, and time?Speed is directly proportional to distance and inversely proportional to time. Its equation is given as:
Speed = Distance/Time.
The other equations, formed using this equation are:
Distance = Speed*Time
Time = Distance/Speed.
How to solve the question?In the question, we are informed that Dara drove from home to the airport to pick up her friend and then came back home on the same route. Her average speed on the way to the airport was 55 miles per hour (mph), and her average speed on the way back home was 45 mph.
We are asked to find the distance between Dara's home and the airport, if the total driving time was 1 hour 20 minutes.
We assume the distance between Dara's home and the airport to be x miles.
As she went to the airport and came back from the airport via the same route, her distance in both the cases will be x miles.
Time taken by Dara to go from home to the airport,
t1 = Distance/Speed = x/55 (Since, her average speed on the way to the airport was 55 mph).
Time taken by Dara on the way back home,
t2= Distance/Speed = x/45 (Since, her average speed on the way back home was 45 mph).
Now, total driving time can be written as,
t1 + t2,
= x/55 + x/45,
= (9x + 11x)/495,
= 20x/495,
= 4x/99.
Now, we know that this time is given as 1 hour and 20 minutes = 1 1/3 hours = 4/3 hours.
Therefore, we an write the equation:
4x/99 = 4/3,
or, x = (4*99)/(4*3) = 33.
Therefore, the airport is at a distance of 33 miles from Dara's home.
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3/4 divided 5/12 =34x
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: [tex]x = \frac{9}{170}[/tex]
Decimal Form: x = 0.05294117
:D
Step-by-step explanation: Hope this helped you!
Answer:
x = 9/170.
Step-by-step explanation:
3/4 / 5/12 = 34x
3/4 * 12/5 = 34x
(3 * 12) / (4 * 5) = 34x
36 / 20 = 34x
9 / 5 = 34x
34x = 9/5
x = 9 / (5 * 34)
x = 9 / 170
This is the simplest form, so you are done.
Hope this helps!
The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root? Use a graphing calculator and a system of equations.
Answer:
-1,3i,-3i
Step-by-step explanation:
X^3+x^2=-9x-9
x^3+x^2+9x+9=0
x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor
(x+1)(x^2+9)=0
x+1=0 then x=-1
(x^2+9)=0 then x=+ 0r - 3i
Answer: -1 is the correct answer
Step-by-step explanation: