Answer: 10 months
Step-by-step explanation:
432 + 40x >505 + 32x
40x >32x + 73
8x > 73
8x/8 > 73/8
x > 73/8 = 9.125
Round 9.125 to 10
The number of months that will take Lola to have more trading cards is obtained as 8.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The number of cards with Lola and Joel are 432 and 505 respectively.
Suppose the number of required month be x.
Then, the inequality expression can be written for the given case as,
432 + 40x > 505 + 32x
⇒ 40x - 32x > 505 - 432
⇒ 8x > 63
⇒ x > 63/8
The number of months should be an integer value.
And, the nearest integer value of the greater than 63/8 is 8.
Hence, the number of months required for the given case is 8.
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The Rodriguez family ate One-third of a pan of brownies, and they plan to divide the remaining brownies into two equal parts. They will take one part to their block party and the other part to share with co-workers. How much of the whole pan of brownies will each place get?
A model has 2 shaded parts and 1 unshaded part.
Answer:
1
Step-by-step explanation:
The equation to represent this would be (1 - (1 / 3)) / 2
1 - (1 / 3) = 2 / 3
2 / 3 / 2 = 1 / 3
Phone-Phriends charges $35 for a text-message plan with 250 text messages included. If the customer goes over the 250 messages, the cost is $0.14 per extra text message.
A customer sent and received 329 text messages last month. What are the total charges?
Answer:
Step-by-step explanation:
11.
a sample of 17001700 computer chips revealed that 366% of the chips fail in the first 10001000 hours of their use. the company's promotional literature states that 399% of the chips fail in the first 10001000 hours of their use. the quality control manager wants to test the claim that the actual percentage that fail is less than the stated percentage. is there enough evidence at the 0.020.02 level to support the manager's claim? step 1 of 7 : state the null and alternative hypotheses. answer
After solving, the value of Test statistic z is 1.449.
In the given question,
A sample of 1700 computer chips revealed that 36% of the chips fail in the first 1000 hours of their use.
The company's promotional literature states that 39% of the chips fail in the first 1000 hours of their use.
Then we have to find the value of z statistic.
Hypothesized proportion (p) = 36%=0.36
Sample proportion (p') = 39% = 0.39
Sample size (n) = 1700
Hence,
Test statistic z
z= (0.76-0.78)/√(0.78* 0.22/900)
z= (-0.02)/√(0.78* 0.000244)
z= -0.02/√0.00019032
z= -0.02/0.0138
z = -1.449
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Find the distance between the two points.
(3,2)
(3,0)
✓ [?]
Enter the number
that goes beneath the
radical symbol.
Enter
4
[tex] \Large{\boxed{\sf d = \sqrt{40} }} [/tex]
[tex] \\ [/tex]
Explanation:The distance between two points is given by the following formula:
[tex] \Large{\sf d = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2}} [/tex]
Where:
d is the distance between the points.[tex] \sf (x_A \: , \: y_A) [/tex] and [tex] \sf (x_B \: , \: y_B) [/tex] are the coordinates of the points.[tex] \\ [/tex]
First, let's identify our values:
[tex] \sf (\underbrace{\sf -3}_{\sf x_A} \: , \: \overbrace{\sf 2}^{\sf y_A}) \: \: and \: \: (\underbrace{\sf 3}_{\sf x_B} \: , \: \overbrace{\sf 0}^{\sf y_B}) [/tex]
[tex] \\ [/tex]
Now, substitute these values into our formula:
[tex] \sf d = \sqrt{\sf (3 - (-3))^2 + (0 - 2)^2} \\ \\ \sf d = \sqrt{\sf 6^2 + (-2)^2} \\ \\ \sf d = \sqrt{\sf 36 + 4 } \\ \\ \boxed{\boxed{\sf d = \sqrt{40} }} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
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5. Find the measure of each angle in the figure below.
Lines are named with the capital letter; angles are named with the lower case letter.
B
A a
e d
C
The measure of each angle are mentioned below
What is angle ?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
The measure of each angle is
∠a = 90°
∠b = 45°
∠c = 45°
∠d = 90°
∠e = 45°
∠f = 45° {coordinate judgment angle }
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Is the converse of the following conditional True or False? "If a polygon is a triangle, then it has exactly three sides."
The converse of the following conditional True which is If a polygon is a triangle, then it has exactly three sides."
What is the triangle?In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
A polygon has precisely three sides if it is a triangle. The opposite is also accurate.
Contrarily, a polygon is a triangle if it has precisely three sides. Both of the statements can be joined to create a biconditional because they are both true.
Thus, the converse of the following conditional True which is If a polygon is a triangle, then it has exactly three sides."
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plsss don't pickk E
...................................
Answer:
answer is c!
because it's domain is -7!!
a conducting sphere of radius r is connected to ground through a battery with a voltage vo as shown. a. assuming ground is at infinity, find the net charge on the sphere. the sphere is disconnected from the battery, and a thick shell of a neutral, polarizable material is placed around the sphere. b. on the diagram, sketch vectors to indicate the direction of the polarization density in the shell. where do positive and negative bound charges appear? explain. c. consider a point inside the polarizable shell. at this point, is the magnitude of the net electric field greater than, less than, or equal to the magnitude of the electric field before the shell was added? explain. consider a point outside the shell. at this point, how does the magnitude of the electric field with the shell compare to before the shell was added? explain. d. is the electric potential difference between the sphere and ground in this case greater than, less than, or equal to the electric potential difference before the shell was added? explain. the sphere is re-connected to the battery with the shell still attached. e. will the total amount of charge on the sphere change? explain why or why not. f. does adding this polarizable shell change the capacity of the sphere to hold charge? explain.
when the charged rod is brought closer to the sphere negative charges get induced on the sphere by gathering some electrons from the ground and the negative remain on the sphere even after disconnecting it.
here the ground acts as a reservoir of electrons.a conducting sphere of radius r is connected to ground through a battery with a voltage vo as shown. a. assuming ground is at infinity, find the net charge on the sphere. the sphere is disconnected from the battery, and a thick shell of a neutral, polarizable material is placed around the sphere.
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Please help I’m timed
If g(n) varies inversely with n and g(n)= 10 when n=3 then find the value of n when
g(n)= 3
Round final answer to the tenths place. If answer is a whole number then put a zero
in the tenths place before entering your answer. Work must be shown for this
problem in order to receive any credit.
The value of n when the function g(n) assumes a value of 3 is of:
n = 10.
What is a proportional relationship?In the case of an inverse proportional relationship, as is the case in this problem, the output variable y is obtained as the division of the constant of proportionality k by the input variable x, as follows:
y = k/x.
Considering the variables in this problem, the equation is given as follows:
g(n) = k/n.
g(n)= 10 when n=3, hence the constant is obtained as follows:
10 = k/3
k = 3 x 10
k = 30.
Hence the equation is:
g(n) = 30/n.
When the input variable n when g(n) = 3 is obtained as follows:
3 = 30/n
3n = 30
n = 30/3
n = 10.
(we replaced the output variable g(n) by it's value and solved for the input variable)
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480 people went to the Yellowstone National Park yesterday.
180 of them were children, and the remaining were adults.
What percent of the visitors at the park were adults?
%
Answer:
11
Step-by-step explanation:
The graph below shows the number of hours Dario
worked and the amount he earned.
DARIO'S EARNINGS
Earnings (in dollars)
100
90
80
70
60
30
20
10
(2, 24).
Review / End Test
(5, 60)
0 1 2 3 4 5 6 7 8 9 10
Time (in hours)
Flag
(8, 96)
Options
V
What was Dario's hourly wage?
A $10
B
$12
(C) $24
D $54
Answer:
Step-by-step explanation:
B.
two poles are connected by a wire that is also connected to the ground. the first pole is 20 ft tall and the second pole is 10 ft tall. there is a distance of 30 ft between the two poles. where should the wire be anchored to the ground (in ft, from the shorter pole) to minimize the amount of wire needed?
The wire should be anchored to the ground to minimize the amount of wire needed 20 ft from the left pole.
What is the quadratic equation?
ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Let x (ft) be the distance from the base of the left pole to the anchor point. Since 2 poles has a distance of 30 ft, the distance from the anchor point to the right pole is 30 - x.
The wire length from the top of the left pole to the anchor point is
[tex]L^{2} _{l} = 20^{2} + x^{2} = x^{2} + 400[/tex]
Similarly for the 2nd part of the wire
[tex]L^{2} _{t} = 10^{2} + (30 - x^{2})[/tex]
= 100 + 900 - 60x + x²
= x²+ 1000 - 60x
We want to minimize the length of the wires, or [tex]L^{2} _{l} + L^{2} _{r}[/tex]
[tex]\frac{x}{\sqrt{{x}^2 + 400} } + \frac{x - 30}{\sqrt{{x}^2 + 400}} = 0[/tex]
we can take the first derivative of this and set it to 0
x = 20
Hence, the wire should be anchored to the ground to minimize the amount of wire needed 20ft.
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Laptop computers are measured according to the diagonals of their screens.
8 in.
19 in.
A(n) 19-inch laptop has a screen that is 8 inches tall. How wide is the screen?
Round your approximation to 2 decimal places.
Check the picture below.
three regular dice are rolled simultaneously. if the probability that the sum of the faces is 7 can be represented by m n in simplest form, what is m n?
The probability that the sum of the faces is 7 = 15/216
The value of m = 15 and the value of n = 216
In this question, we have been given three regular dice are rolled simultaneously.
We need to find the probability that the sum of the faces is 7.
When three dice are rolled simultaneously, the total number of outcomes
n(S) = 6 * 6 * 6
n(S) = 216
Let event A: sum of the faces is 7
A = {(1, 2, 4), (1, 4, 2), (4, 1, 2), (4, 2, 1), (2, 1, 4), (2, 4, 1), (1, 3, 3), (3, 3, 1), (3, 1, 3), (2, 2, 3), (2, 3, 2), (3, 2, 2), (1, 5, 1), (5, 1, 1), (1, 1, 5)}
n(A) = 15
So, the probability that the sum of the faces is 7 = 15/216
Hence, if the probability that the sum of the faces is 7 can be represented by m/n in simplest form then m = 15 and n = 216
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Calculate the margin of error for a ampling ditribution that ha a ize of 36 for a 93% confidence level. The population tandard deviation i known to be 12
The margin of error for a sampling distribution is found as 3.34.
Explain the term margin of error?The margin of error, sometimes known as the confidence interval, provides information on how closely your survey results will likely reflect the opinions of the general community. Keep in mind that conducting surveys requires you to strike a balance by using a smaller group (the survey respondents) to represent a much broader one.Margin of error = z × σ/√n
n = sample size (36)σ = population standard deviation (12) z = z-scoreThus, put the values;
z-score for 93% confidence level = 1.67
Margin of error = 1.67 ×12/√36
Margin of error = 3.34
Thus, the margin of error for a sampling distribution is found as 3.34.
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a binomial experiment consists of 10 independent trials. the probability of success in each trial is 0.43. give the variance of the random variable associated with this experiment. a) 1.5656 b) 4.3000 c) 0.2451 d) 2.4510 e) 2.0736 f) none of the above.
Part (d) is correct.
i.e. The variance of the random variable associated with this given experiment is 2.4510.
What is Binomial experiment?
It is an experiment with a set number of independent trials, each having the same chance of success and the two outcomes of success or failure. A binominal distribution can be used to describe the likelihood of a certain number of successes.
Given that,
No. of independent trials ( n ) = 10
Probability of success in each trail ( p ) = 0.43
∴ probability of failure in each trial ( q ) = 0.57
we can find the variance of a binomial experiment by using the formula i.e. npq.
∴ Variance = npq
= 10 × 0.43 × 0.57
= 2.4510.
Hence, part (d) matches with the answer.
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a university charges students $2,300 less for tuition each year to encourage them to stay in school. the tuition for freshman year is $34,000. write a regression equation for this formula, with y
a regression equation for this formula, where x represents the number of years enrolled and y represents the tuition.
y = 34000 - 2300x
Regression is a statistical technique that connects one or more independent (explanatory) variables to a dependent variable. If there is a relationship between changes in one or more of the explanatory factors and changes in the dependent variable, it can be shown using a regression model.
The regression equation for this formula would be:
Y = 34,000 - 2,300x
where Y is the tuition cost and x is the number of years in school.
The equation states that the tuition cost for any year in school (x) is equal to the freshman year tuition cost (34,000) minus 2,300 multiplied by the number of years in school (x).For example, if x = 4 (4 years in school), then the tuition cost for that year would be 34,000 - 2,300(4) = 25,400.
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a tree is 37.95 feet tall. what is its height in meter? use the following conversion: 1 meter is 3.3 feet
The height of tree in meter is 11.5 meter after the conversion from 37.95 feet to meter.
What is conversion factor?A conversion factor is measurement value in numbers that is used in converting one unit to another unit by arithmetic operations.
Given that a tree is 37.95 feet tall and 1 meter is 3.3 feet.
So to find 37.95 feet tree in meter we have to divide 37.95 by 3.3
= 37.95 / 3.3
= 11.5 meter
1 meter is 3.3 feet, then 11.5 meter is 37.95 feet.
Therefore, the height of tree in meter is 11.5 meter.
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In ACDE, M/C = (x-4)°, m/D = (9x + 4)°, and m/E = (2x + 12)°.
Find m/D.
Thus, in ΔCDE the m/∠D = 130⁰, which can be calculated using angle sum property of triangle.
What is triangle?Triangle is derived from the Latin word triangulus, which means "three-cornered" or "having three angles," and is composed of the roots tri-, "three," and angulus, "angle or corner." Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees.
Given that: In ΔCDE
m/∠C = (x-4)°
m/∠D = (9x + 4)°
m/∠E = (2x + 12)°
Now, to find m/∠D
So, We know that sum of internal angles of a triangle is equal to 180⁰ .Here, we are given a ΔCDE and all its three internal angles.
Putting the sum of all three equal to 180⁰:
∠C + ∠D + ∠E = 180⁰(x-4)°+ (9x + 4)°+ (2x + 12)°
= 180⁰12x +12
= 180⁰x +1 = 15⁰
x = 14⁰
Thus, Putting value of x in m/∠D = (9x + 4)°.
m/∠D = (9 × 14 +4)⁰
m/∠D = 130⁰
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The complete question is as follows:
In ΔCDE, m ∠ C = ( x − 4 ) ∘ m∠C=(x−4) ∘ , m ∠ D = ( 9 x + 4 ) ∘ m∠D=(9x+4) ∘ , and m ∠ E = ( 2 x + 12 ) ∘ m∠E=(2x+12) ∘ . Find m ∠ D.
لیا
The prism below is made of cubes which measure 1/4 of a centimeter on one side. What is the volume?
Answer:
Below
Step-by-step explanation:
You didn't include the picture......
each cube has a volume of 1/4 * 1/4 * 1/4 = 1/64 cm^3
count the total number of cubes and multiply by 1/64
to get volume in cm^3
Samuel prob please answer
The system of equation that is used to determine the number of cans of soup purchased and the number of frozen dinners purchased is 300x+450(x+5)=6000mg.
What is meant by linear equation?A linear equation can be generated by equating a linear polynomial over some field with zero coefficients. The values that, when substituted for the unknowns, make the equality true are the solutions of such an equation. The phrase linear equation is frequently used to refer to this specific scenario, in which the variable is appropriately referred to as the unknown.
Each solution in the case of two variables can be regarded as the Cartesian coordinates of a point on the Euclidean plane. A linear equation's solutions form a line in the Euclidean plane, and every line can be seen as a set.
Sodium contains in a can of soup is 300mg
Sodium contains in a can of frozen dinners is 450mg
Let the number of cans of soup purchased be x
Then, the number of frozen dinners purchased=x+5
Total sodium purchased=6000mg
So, 300x+450(x+5)=6000mg
Therefore, the system is 300x+450(x+5)=6000mg
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Someone answer this please
Answer:
Step-by-step explanation:
B because that is the letter of my first name!
Select the equation of the line that passes through (3, 4) and (-1, -4).
y= -1/2x+2
y=2x+2
y=2x-2
y=-1/2x+4
none of the above
The equation of the line that passes through (3, 4) and (-1, -4) will be y = 2x - 2. Then the correct option is C.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The points are (3, 4) and (-1, -4). Then the equation of the line is given as,
(y + 4) = [(4 + 4) / (3 + 1)](x + 1)
y + 4 = 2(x + 1)
y = 2x + 2 - 2
y = 2x - 2
The equation of the line that passes through (3, 4) and (-1, -4) will be y = 2x - 2. Then the correct option is C.
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Help me solve this question!
The volume of foam needed for the 45 cones is
v = 16,956 cm³
How much foam is needed to make 45 cones?
We know that the volume of a cone of diameter F and height H is:
V = pi*(D/2)²*H/3
Where pi = 3.14
Here we know that:
D = 12cm
H = 10cm
And we want to find the volume of 45 of these cones, so the total volume of foam needed is:
v = 45*V = 45*(3.14*(12cm/2)²*10cm/3
v = 16,956 cm³
That is the volume of foam needed.
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Consider the figure shown below. Find the value of each variable mentioned in the figure below
-------------------
The measure of an inscribed angle is half the measure of the intercepted arc:
a = 52/2 = 26,c = 84/2 = 42.Angles a and b sum to a right angle since inscribed between the tangent and diameter.
Then we have:
a + b = 9026 + b = 90b = 90 - 26b = 64Eliza solves the equation (x-7)^2 = 25 and gets X = 12. Winnie solves the same equation and finds a different solution. What is the other solution to the problem?
Answer: 5^2
Step-by-step explanation:
5 x 5 = 25
and (x-7)^2 = 25
express 8 3/5 in simplest radical form
5 radical 8 to the power of 3
Step-by-step explanation:
a cheese merchant looks again at the data set about total cheese sales, in which the sample mean is 164.5 and the sample standard deviation is 103. find the rounded upper level of the 68% confidence interval estimate.
The rounded upper level of the 68% confidence interval estimate is
164.5 ± 3.260.
Given:
a cheese merchant looks a again at the data set about total cheese of sales, in which the sample mean is 164.5 and the sample of standard deviation is 103.
μ = x =164.5
σ = s = 103
n = 987
z score at 68 % :
= 0.9945
Confidence interval CI = x + z * s/[tex]\sqrt{n}[/tex]
= 164.5 + 0.9945 * 103 / √987
= 164.5 ± 3.260
Therefore The rounded upper level of the 68% confidence interval estimate is 164.5 ± 3.260.
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a helicopter is lifting an 800-pound unit at a rate of 200 feet per minute. how much horsepower, of work energy, is the helicopter using in the process?
4.84 HP is the amount of work energy used.
Given info,
A helicopter is lifting an 800-pound unit at a rate of 200 feet per minute.
1 horsepower = 550 foot-pounds per second
⇒ 800 x 200 = 160,000 foot-pounds per minute
= 160,000/60 foot pounds per second.
Horsepower = 160,000/60 * 550 = 428/33
= 4.848 HP
Therefore, the horsepower of work energy used is 4.84 HP
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suppose x is a normal random variable with exam image and exam image find p(3.6 < x < 53.5). a) exam image b) exam image c) exam image d) exam image e) exam image f) none of the above.
After using the test statistic z, P(3.6<X<53.5) = 0.967.
In the given question, suppose X is a normal random variable with mean 35 and sdev 10.
We have to find P(3.6<X<53.5).
Fro the given question,
Mean x = 35
sdev s = 10
Z = X - mu / sd
P(3.6<X<53.5) = P ( 3.6-35/10 < Z < 53.5-35/10 )
P(3.6<X<53.5) = P ( -31.4/10 < Z < 18.5/10 )
P(3.6<X<53.5) = P ( -3.14 < Z < 1.85 )
P(3.6<X<53.5) = P ( Z < 1.85) - P ( Z < -3.14)
left tail of both
P(3.6<X<53.5) = 0.9678 - 0.0008
P(3.6<X<53.5) = 0.967
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The right answer is:
Suppose X is a normal random variable with mean 35 and sdev 10. Find P(3.6<X<53.5)