Vamos lá.....
Duas maneiras praticas:
1 - Multiplicar a fraçao pelo total, vai informar quanto a fracao representa (o que é questionado na questao)
2 - Regra de 3.
1:
72 × (3/8)
216/8
27
Ele acertou 27 questoes
(pergunta mais que interessante: qntas questoes havia na prova??? 72)
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. Please no random answers
Answer:
A
Step-by-step explanation:
A is corrects since -13 is in the the domain of g(x) and 20 is in the range of g(x):
-20 < -13 < 5-5 < 20 < 45B is also false since 4 is in the domain of g(x)) and -11 isn't in the range of g(x)
-20 < 4 < 5-11 < -5C is also false since it's mentioned that g(0) = -2
D is false since 7 isn't in the domain of g(x)
solve this for me plzzz
Answer: a- steve
Step-by-step explanation:
Answer:
B Emma is correct
Step-by-step explanation:
Joaquin is constructing the perpendicular bisector of AB. He opens his
compass so that the distance from the two points of the compass is wider
than half the length of AB. What is his next step?
B
O A. Place the point of the compass on the midpoint of AB and draw
an arc in either direction.
O B. Place the point of the compass on point A and draw an arc acre
АВ.
O C. Place the point of the compass on point A and mark where the arc
intersects AB
O D. Place the point of the compass on the midpoint of AB and mark
the points directly above and below the midpoint.
Answer:
D. Place the point of the compass on the midpoint of AB and mark
the points directly above and below the midpoint.
Step-by-step explanation:
Below are the simple steps to follow to draw a perpendicular bisector of line AB.
First step
Set the compass at the end of one line segment and move the compass so that it would be slightly longer than half of the line AB.
Second step
Set the compass at point A and make some arcs just above line AB.
Third step
Draw an arc from point B with the same compass width.
Fourth step
Carefully set a ruler at the intersection of the arcs and draw the line segment.
Answer:place the point of the compass on point a and draw an arc across ab.
Step-by-step explanation:
Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per-capita consumption of milk and wanted to be 95% confident that the estimate was no more than 0.5 gallon away from the actual average, what sample size is needed
Complete Question
Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per-capital consumption of milk and wanted to be 95% confident that the estimate was no more than 0.5 gallon away from the actual average, what sample size is needed? Past data have indicated that the standard deviation of consumption of approximately 10 gallons.
Answer:
The sample size is [tex]n = 1537 \ gallons[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]MOE = 0.5[/tex]
The confidence level is [tex]C = 95[/tex]%
Given that the confidence level is 95% the level of significance is mathematically represented as
[tex]\alpha = 100 - 95[/tex]
[tex]\alpha = 5[/tex]%
[tex]\alpha = 0.05[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table , the values is [tex]Z_{\frac{\alpha }{2} } = 1. 96[/tex]
The reason we are obtaining critical values of
[tex]\frac{\alpha }{2}[/tex]
instead of
[tex]\alpha[/tex]
is because
[tex]\alpha[/tex]
represents the area under the normal curve where the confidence level interval (
[tex]1-\alpha[/tex]
) did not cover which include both the left and right tail while
[tex]\frac{\alpha }{2}[/tex]
is just the area of one tail which what we required to calculate the sample size
Now the sample size is mathematically represented as
[tex]n = \frac{[Z_{\frac{\alpha }{2} }] ^2 * \sigma ^2}{MOE^2}[/tex]
substituting values
[tex]n = \frac{1.96^2 * 10 ^2}{0.5^2}[/tex]
[tex]n = 1537 \ gallons[/tex]
A restaurant gat an average of 14 calls in a 2 hr time period. What is the probability that at most 2 calls in 45 min period
Answer:
0.10512
Step-by-step explanation:
Given the following :
Mean number of calls(μ) in 2 hours = 14
2 hours = 60 * 2 = 120 minutes
Average number of calls in 45 minutes :
= (45 / 120) * 14
= 0.375 * 14
= 5.25
Now find P( x ≤ 2) = p(x = 0) + p( x = 1) + p(x = 2)
Using the poisson probability formula:
P(x, μ) = [(e^-μ) * (μ^x)] / x!
Where :
e = euler's constant
μ = 5.25
x = 0, 1, 2
Using the online poisson probability calculator :
P(x, 5.25) = P( x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x, 5.25) = P( x ≤ 2) = 0.00525 + 0.02755 + 0.07232 = 0.10512
A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius,
Each of the central angles has a measure of 40' How many sides does the polygon have?
8
9
010
O 12
Answer:
9 sides
Step-by-step explanation:
The formula for number of sides of a polygon with a given central angle
Number of sides = 360°/ central angle
In the above question, we were told that each of the central angles in the polygon ha a measure of 40°
Hence,
Number of sides = 360°/40°
9 sides.
Therefore, the number of sides that polygon in the above question has is 9 sides.
Lily is 14 years older than her little brother Ezekiel. In 8 years, Lily will be twice as old as Ezekiel will be then. What is Lily and Ezekiel's combined age?
Answer:
30 years
Step-by-step explanation:
let the age of Ezekiel be x years
Given
Lily is 14 years older than her little brother Ezekiel
Age of Lily = x + 14 years
Next condition
after 8 years\
age of Ezekiel = x+8
age of Lily = x + 8 +14 = x + 22 years
Given
. In 8 years, Lily will be twice as old as Ezekiel will be then.
Thus,
x + 22 = 2(x+8)
=> x + 22 = 2x + 16
=> 22-16 = 2x -x
=> x = 6
Thus, age of Ezekiel = 8 years
age of lily = 8+14 = 22 years
sum of their age = 22 + 8 = 30 years answer.
6th grade math , help me please
Answer:
a. the ratio is 1:2
b. its equivalent to the fraction 1/2
c. there would be 10 triangles
d. therw would be 45 triangles since the number of parallelograms is double the number of triangles
Answer:
See explanation.
Step-by-step explanation:
a) Simply divide the number of triangles by the number of paralellograms.
3/6
b) 3/6 is equal to 1/2.
1/2
c) Multiply 2 by 10 to get 20. Now, you also have to multiply 1 by 10.
10/20
d) There are three shapes for every instance of the ratio. Divide 90 by 3.
30
Hope this helped!
An integer is 7 more than 2 times another. If the product of the two integers is 60, then find the integers.
Answer:
15 and 4Step-by-step explanation:
Let the first integer be x and the second integer be y. If the first integer is 7 more than 2 times another, then x = 7+2y
The two integers will be y and 7+2y. If the product of both integers is 60, then;
y(7+2y) = 60
7y + 2y² = 60
2y² + 7y -60 = 0
2y²-8y+15y-60 = 0
2y(y-4)+15(y-4) = 0
(2y+15)(y-4) = 0
2y+15= 0 and y-4 = 0
2y = -15 and y = 4
y = -15/2 and 4
Taking the positive integer, y = 4
To get the other integer, we will substitute y = 4 into the equation x = 7+2y;
x = 7+2(4)
x = 7+8
x = 15
Hence the two integrs are 15 and 4
A process on a machine has a standard deviation of 0.04 inches. If a product with specifications of +/- 0.07 inches has to be processed on that machine, is the machine capable of performing that job? Group of answer choices
Answer:
c.) No, because Cp < 1
Step-by-step explanation:
Let us assume that there is centered in the process
and, the width is 2 times the specification
So, the width is
[tex]= 2 \times 0.07[/tex]
= 0.14
Now capability index = Cp is
[tex]= \frac{specification\ width}{6 \times standard\ deviation}\\\\= \frac{0.14}{6\times 0.04}[/tex]
= 0.58333
And the capability index should be minimum 1 for the process
And as we can see that Cp is 0.58333 which is less than 1 so the machine is not able to perform the job
Hene, the correct option is c.
Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 56 inches long and cuts it into two pieces. Steve takes the first piece of wire and bends it into the shape of a perfect circle. He then proceeds to bend the second piece of wire into the shape of a perfect square. What should the lengths of the wires be so that the total area of the circle and square combined is as small as possible
Answer:
Step-by-step explanation:
Let the length of first piece be L .
Length of second piece = 56 - L
radius of circle made from first piece
R = L / 2π
Area of circle = π R²
= L² / 4π
side of square made fro second piece
= (56 - L) / 4
area of square = ( 56-L)² / 16
Total area
A = L² / 4π + ( 56-L)² / 16
For smallest possible combined area
dA / dL = 0
dA / dL = 2L / 4π - 2( 56-L)/16 =0
2L / 4π = 2( 56-L)/16
.159 L = 7 - .125 L
.284 L = 7
L = 24.65 inch
other part = 56 - 24.65
= 31.35 inch .
Assuming that ten (10) candidates are presented in a random order, what is the probability that hire exactly one candidate
Answer:
The probability that only one candidate is hired is 0.10.
Step-by-step explanation:
The probability of event E occurring is the ration of the favorable number of outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
It is provided that N = 10 candidates are presented in a random order.
Compute the probability that only one candidate is hired as follows:
[tex]P(\text{Only 1 Hire})=\frac{1}{10}=0.10[/tex]
Thus, the probability that only one candidate is hired is 0.10.
Brainliest for the correct awnser!!! Which of the following is the product of the rational expressions shown below?
Answer:
[tex] \frac{ {x}^{2} - 1 }{ {x}^{2} - 25 } [/tex]Step-by-step explanation:
[tex] \frac{x - 1}{x + 5} \times \frac{x + 1}{x - 5} [/tex]
To multiply the fraction, multiply the numerators and denominators separately
[tex] \frac{(x - 1) \times (x + 1)}{(x + 5) \times (x - 5)} [/tex]
Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex] simplify the product
[tex] = \frac{ {x}^{2} - 1 }{ {x}^{2} - 25 } [/tex]
Hope this helps..
Best regards!!
At a deli counter, there are sandwiches with meat and vegetarian sandwiches. Kira is at the counter buying sandwiches for a picnic. In how many ways can she choose sandwiches if fewer than must be vegetarian sandwiches
Answer:
The number ways to choose between meat and vegetarian sandwiches can be computed using computation technique.
Step-by-step explanation:
There are two types of sandwiches available at the deli counter. The possibility of combinations can be found by computation technique of statistic. It is assumed that order does not matter and sandwiches will be selected at random. The sandwiches can be arranged in any order and number ways can be found by 2Cn.
PLEASE HELP WILL GIVE BRAINLIEST PRECALC
Answer:
[tex]270^o[/tex] and [tex]450^o[/tex]
Step-by-step explanation:
Recall that [tex]\frac{\sqrt{2} }{2}[/tex] is a value of the function cosine for the special angles: [tex]135^o[/tex] and [tex]225^o[/tex], then:
[tex]\frac{x}{2} =135^o\\x=270^o\\or\\ \frac{x}{2} =225^o\\x=450^o\\[/tex]
How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds):
69 103 126 122 60 64
Assume that the population of x values has an approximately normal distribution.
A) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s.
B) Find a 75% confidence interval for the population average weight of all adult mountain lions in the specified region.
Answer:
Step-by-step explanation:
From the information given:
Mean [tex]\overline x = \dfrac{\sum x_i}{n}[/tex]
Mean [tex]\overline x = \dfrac{69+103+126+122+60+64}{6}[/tex]
Mean [tex]\overline x = \dfrac{544}{6}[/tex]
Mean [tex]\overline x = 90.67[/tex] pounds
Standard deviation [tex]s = \sqrt{\dfrac {\sum (x_i - \overline x) ^2}{n-1}[/tex]
Standard deviation [tex]s = \sqrt{\dfrac {(69 - 90.67)^2+(103 - 90.67)^2+ (126- 90.67) ^2+ ..+ (64 - 90.67)^2}{6-1}}[/tex]
Standard deviation s = 30.011 pounds
B) Find a 75% confidence interval for the population average weight of all adult mountain lions in the specified region.
At 75% confidence interval ; the level of significance ∝ = 1 - 0.75 = 0.25
[tex]t_{(\alpha/2)}[/tex] = 0.25/2
[tex]t_{(\alpha/2)}[/tex] = 0.125
t(0.125,5)=1.30
Degree of freedom = n - 1
Degree of freedom = 6 - 1
Degree of freedom = 5
Confidence interval = [tex](\overline x - t_{(\alpha/2)(n-1)}(\dfrac{s}{\sqrt{n}})< \mu < (\overline x + t_{(\alpha/2)(n-1)}(\dfrac{s}{\sqrt{n}})[/tex]
Confidence interval = [tex](90.67 - 1.30(\dfrac{30.011}{\sqrt{6}})< \mu < (90.67+ 1.30(\dfrac{30.011}{\sqrt{6}})[/tex]
Confidence interval = [tex](90.67 - 1.30(12.252})< \mu < (90.67+ 1.30(12.252})[/tex]
Confidence interval = [tex](90.67 - 15.9276 < \mu < (90.67+ 15.9276)[/tex]
Confidence interval = [tex](74.7424 < \mu <106.5976)[/tex]
i.e the lower limit = 74.74 pounds
the upper limit = 106.60 pounds
6th grade math, help me please:)
Answer:
D. 100
Step-by-step explanation:
percents are always out of 100 because that is the maximum. if you are 100% done with your homework, you are completely finished.
Determine the critical value for a 98% confidence interval when the sample size is 12 for the t ‑distribution. Enter the positive critical value rounded to 3 decimal places.
Answer:
+2.718
Step-by-step explanation:
from the question,
the sample size is 12
therefore the degree of freedom,
df = 12 - 1
= 11
alpha = 1 - 0.98
= 0.02
this is because the confidence level is 98%
under the t distribution table, a degree of freedom of 11 and 0.02 alpha level = 2.718
the critical value t* = 2.718
I hope this helps!
The volume of a certain gas increases by 25%. Complete the following statement.
The new pressure will be
of the original pressure.
120%
75%
80%
125%
Answer: D. 125%
Step-by-step explanation:
An INCREASE of 25% means the original volume (100%) + 25% = 125%
Answer:
[tex]\boxed{125\%}[/tex]
Step-by-step explanation:
[tex]original \: pressure=100\%[/tex]
[tex]increase=25\%[/tex]
[tex]new \: pressure=100\%+25\%=125\%[/tex]
The new pressure will be 125% of the original pressure.
What is the length of JM in the given figure?
Answer: B. 30
Step-by-step explanation:
When given a secant and a tangent, the formula is:
exterior of secant × secant = tangent²
KM × JK = LK²
10 × (JM + 10) = 20²
10JM + 100 = 400
10JM = 300
JM = 30
In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science. What is the probability of randomly choosing a student who is taking only math?
56%
39%
49%
74%
HURRY PLEASE
Answer:
56%
Step-by-step explanation:
90 ÷ 160
= 0.56
0.56 × 100
= 56%
Answer:
56%
Step-by-step explanation:
Your question is asking for students who are taking only math. Of 160 students, 90 are taking only math. This gives you the proportion of [tex]\frac{90}{160}[/tex] = 0.56. To find percents, just multiply it by 100 to get 56%.
15 points + brainliest if you can figure this out!
Answer:
(H1, T1)
Step-by-step explanation:
Since we know that the only number option is 1, we can cancel out the first 3 options. and obviously, there are only heads, and tails. So, using only the # 1 and heads and tails, we can conclude that the answer is (H1, T1).
Answer:
D. (H1, T1)
Step-by-step explanation:
Since all outcomes require card #1 is chosen, so any answer with 2 or 3 can be rejected, therefore the answer is
D. (H1, T1)
A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the -5 centimeter sides . The remaining cardboard will be folded to form the box and its lid . Letting x represent the side-lengths (in centimeters) of the squares, to find the value of that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places.
Answer:
x = 0.53 cm
Maximum volume = 1.75 cm³
Step-by-step explanation:
Refer to the attached diagram:
The volume of the box is given by
[tex]V = Length \times Width \times Height \\\\[/tex]
Let x denote the length of the sides of the square as shown in the diagram.
The width of the shaded region is given by
[tex]Width = 3 - 2x \\\\[/tex]
The length of the shaded region is given by
[tex]Length = \frac{1}{2} (5 - 3x) \\\\[/tex]
So, the volume of the box becomes,
[tex]V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\[/tex]
In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.
[tex]\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\[/tex]
We are left with a quadratic equation.
We may solve the quadratic equation using quadratic formula.
The quadratic formula is given by
[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Where
[tex]a = 18 \\\\b = -38 \\\\c = 15 \\\\[/tex]
[tex]x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\[/tex]
Volume of the box at x= 1.59:
[tex]V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\[/tex]
Volume of the box at x= 0.53:
[tex]V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3[/tex]
The volume of the box is maximized when x = 0.53 cm
Therefore,
x = 0.53 cm
Maximum volume = 1.75 cm³
Using the quadratic formula y=4x ²-81
Answer:
[tex]\huge\boxed{x=\pm4.5}[/tex]
Step-by-step explanation:
The quadratic formula of
[tex]ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
We have:
[tex]y=4x^2-81\to 4x^2-81=0\\\\a=4;\ b=0;\ c=-81[/tex]
substitute
[tex]x=\dfrac{-0\pm\sqrt{0^2-4(4)(-81)}}{2(4)}=\dfrac{\pm\sqrt{1296}}{8}=\dfrac{\pm36}{8}=\pm4.5[/tex]
Find the number. PLEASE HELP!!!
Answer:
X=18
Step-by-step explanation:
Answer:
x = 18or x = - 20
Step-by-step explanation:
Given
x² + 2x = 360 ( subtract 360 from both sides )
x² + 2x - 360 = 0 ← quadratic in standard form
Consider the factors of the constant term (- 360) which sum to give the coefficient of the x- term (+ 2)
The factors are + 20 and - 18, since
20 × - 18 = - 360 and 20 - 18 = 2 , thus
(x + 20)(x - 18) = 0
Equate each factor to zero and solve for x
x + 20 = 0 ⇒ x = - 20
x - 18 = 0 ⇒ x = 18
Thus the number could be 18 or - 20
How does a reflection across the y-axis change the coordinates of a shape?
Answer:
When you reflect a shape avross the y-axis, the y-coordinates stay the same, but the x-coordinates turn into its opposites.
Step-by-step explanation:
EXAMPLES:
(3,6)---(reflected over y-axis)--> (-3,6)
(9,2)---(reflected over y-axis)--> (-9,2)
Hope this helped! Brainliest would be really appreciated :)
Solve |y + 2| > 6 im so confused
Answer:
Below
Step-by-step explanation:
● |y+2| > 6
● y+2 > 6 or y+2 < -6
Add -2 in both sides in the two inequality.
● y+2-2 > 6-2 or y+2-2 < -6-2
● y > 4 or y< -8
show all work!! Plus this is the same question as my last one so you get a total of 25 points if you answer both! Just copy the answer you got from this one and paste it in the other question (the same question)
Answer:
increase of 30
Step-by-step explanation:
1255- 1075 = 180
This is an increase of 180
Divide by the number of numbers which is 6
180 /6 = 30
The mean will increase by 30
Answer:
+30
Step-by-step explanation:
1255- 1075 = 180
180 /6 = 30
17 women and 3 men attend a family reunion. What is the percentage of men with respect to the total number of parents?
1. 3%
2. 15%
3. 16%
4. 17%
Answer:
Not enough information. (15% Men at family reunion)
Step-by-step explanation:
The question ask what percentage of men with respect to the total number of parents, who attended the family reunion; however, there is no information given on which subset of these people are parents. Therefore we cannot determine the percentage of men with respect to the total number of parents.
If we assume that all attendees of the family reunion are parents, the we can simply write:
3/20 == .15 == 15%
So there are 15% men at the family reunion. Likewise for the women we can say:
17/20 == .85 == 85%
So there are 85% women at the family reunion.
Cheers.
Answer:
[tex]\boxed{15\ \%}[/tex]
Step-by-step explanation:
Total Parents = 17+3 = 20
Men among Parents = 3
%age of men:
=> [tex]\frac{3}{20} * 100[/tex]%
=> 3 * 5 %
=> 15 %
help with this will give bralienst pleaseeee
Answer:
D
Step-by-step explanation:
You can test this out with a number.
try dividing 23 by 8:
you will get 2 remainder 7 which works for the condition.
Note: Whenever you divide a number by x(other number) the remainder will always have to be to less than x:
The only one that applies to this aforementioned condition is 8.
Answer:
D
Step-by-step explanation:
The remainder can never be greater than the number by which it is divided
For example:
n = any number
n / 2 -> The remainder will never be greater than 2 (0 < remainder <2)
n / 3 -> The remainder will never be greater than 3 (0 < remainder <3)
n / 4 -> The remainder will never be greater than 4 (0 < remainder <4)
n / 5 -> The remainder will never be greater than 5 (0 < remainder <5)
n / 6 -> The remainder will never be greater than 6 (0 < remainder <6)
..... etc