The company cannot build 10 child bikes and 12 adult bikes No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 , Option A is the correct answer.
What is System of Inequality ?System of inequality represent system of inequalities that satisfies common condition.
It is given that
Each child bike requires 4 hours to build and 4 hours to test.
Each adult bike requires 6 hours to build and 4 hours to test.
Total building hours = 120
Total testing hours = 100
If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week.
6a + 4c ≤ 120
4a +4c ≤100
On solving this system of Inequality
a ≤ 10
which is less than required , and so
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Therefore Option A is the correct answer.
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I'm lazy and dont feel like doing math myself. So pls help me!
Answer:
55
Step-by-step explanation:
[tex] \frac{n(n + 1)}{2} \\ n = 10 \\ substitutig \\ \frac{10(10 + 1)}{2} \\ \\ \frac{10(11)}{2} \\ \\ \frac{110}{2} = 55 [/tex]
Hey sample has a sample proportion of .3 which sample size will produce the widest 95% confidence interval when estimating the population parameter
The sample size which will produce sample proportion of 0.3 and 95% confidence interval is 36.
Given sample proportion of 0.3, confidence level 95%.
A confidence interval of proportions is given by:
π±z[tex]\sqrt{}[/tex]π(1-π)/n
In which :
π is the sample proportion,
z is the critical value
n is the sample size.
Margin of error=z[tex]\sqrt{}[/tex]π(1-π)/n
z value for confidence level of 95% is 1.96
Margin of error=1.96[tex]\sqrt{0.3*0.7/n}[/tex]
The widest interval has the highest margin of error, since the margin of error and since the margin of error is inversely proportional to the sample size , a lower sample size generates a higher margin of error.
Hence sample size which is correct is 36.
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Question is incomplete as it also includes options like:
a)46
b)68
c)56
d)36.
Which graph represents the solution to the compound inequality?
–2x + 4 ≤ 8 and –2x + 4 > –6
The graph which represents the solution to the compound inequality is; -2 ≤ x < 5.
Which graph represents the solution to the compound inequality?The inequalities given in the task content can be solved as follows;
For –2x + 4 ≤ 8
-2x ≤ 8 -4
x >= -2
For –2x + 4 > –6
–2x > –6 -4
x < 5
Hence, the graph which represents the solution to the compound inequality is; -2 ≤ x < 5.
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Jin has $0.20 worth of pennies and nickels. He has a total of 12 pennies and nickels altogether. By following the steps below, determine the number of pennies, x, and the number of nickels, y that Jin has.
The number of pennies, x, and the number of nickels, y that Jin has is 10 and 2 respectively.
Pennies and nickelsA penny = $0.01A nickel = $0.05number of pennies = xNumber of nickels = yThe equation:
x + y = 12
0.01x + 0.05y = 0.20
from (1)
x = 12 - y
substitute 12-y into (2)
0.01x + 0.05y = 0.20
0.01(12 - y) + 0.05y = 0.20
0.12 - 0.01y + 0.05y = 0.20
- 0.01y + 0.05y = 0.20 - 0.12
0.04y = 0.08
y = 0.08/0.04
y = 2
substitute y = 2 into (1)
x + y = 12
x + 2 = 12
x = 12 - 2
x = 10
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calculate the pressure if a force of 30N acts on a area of
[tex]2 {m}^{2} [/tex]
Answer:
2 Pas
Step-by-step explanation:
pressure = force/area
p= 30N/2m²
p=15pas
Answer:
Pressure = 15 N/m² = 15 Pa
Step-by-step explanation:
[tex]Pressure = \frac{Force \space\ \space\ applied}{Area}[/tex]
[tex]Pressure= \frac{30}{2} \\\\Pressure = 15 \space\ N/m^2[/tex]
Roxanne likes to fish. She estimates that 30% of the fish she catches are
trout, 20% are bass, and 10% are perch. She designs a simulation.
Let 0, 1, and 2 represent trout.
Let 3 and 4 represent bass.
Let 5 represent perch.
Let 6, 7, 8, and 9 represent other fish.
The table shows the simulation results.
7888 2635 2961 2053
2095
4526 6994 4348 3087 7282
8323 3579 3840 6839 51681
0585 1780 3363 7683 2921
What is the estimated probability that at least one of the next four fish
Roxanne catches will be a perch?
The estimated probability that at least one of the next four fish Roxanne catches will be a perch is 34%
What is Probability ?Probability is the likeliness of an event to happen. It has a range of 0 to 1, where 0 indicates uncertainty and 1 indicates certainty.
It is given that
0, 1, and 2 represent trout , 3 and 4 represent bass , 5 represent perch , 6, 7, 8, and 9 represent other fish
From the data it can be observed that
Total number of single digits numbers = 80
No. of Perch , "5 " = 8
Probability of getting a perch in next fish = 8/80 = 0.1
Probability that at least one of the next four fish Roxanne catches will be a perch = 1- P(no perch)
P ( no perch) = 1 - 0.1 = 0.9
for 4 fishes
= 1 - 0.9⁴
= 0.3439
= 34.39%
≈ 34%
Therefore the estimated probability that at least one of the next four fish
Roxanne catches will be a perch is 34%.
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Find the value of x. Then find the measure of each labeled angle.
Answer:
3x-10=x+40
X=25
Angels are 65
Ans:c
8. The table represents some points on the graph of a linear function.
What is the rate of change of y with respect to x for this function
1+3-2+0=2
-3-2+1+2=-2
Answer:
d.-½ ,represent change of y with respect to x
Step-by-step explanation:
The values of y with respect to x are :-
-3-⅔-½ and,0Thus, -½ in the value of the change in y with respect to x.
help me with this, please
20 points
Jaylen and ken started jogging from the same place in the opposite directions along a straight path. jaylen's speed was 30 m/min faster than ken's speed. both of them did not change their speeds throughout the jog. at the end of the jog, they were 13.6 km apart. jaylen jogged 2.4 km more than ken. what was ken's average speed?
The average speed of Ken is 70 m/min. Using the relation between the speed and distance, the required speed for Ken is calculated.
What is the relation between speed and distance?The relationship between speed S and distance D with a period T is formed as
S = D/T
Units: m/sec (basic unit)
Calculation:Given that,
Jaylen and Ken started jogging from the same place in opposite directions along a straight path.
This means, that the sum of distances traveled by both of them in opposite directions = 13.6 km (since it is given that at the end of their jogging, they are 13.6 km apart)
Consider,
The distance traveled by Jaylen = x km
Then the distance traveled by Ken = x - 2.4 km (since Jaylen jogged 2.4 km more than Ken)
Step 1: Finding the distance traveled by them:
x + x - 2.4 = 13.6
⇒ 2x = 13.6 + 2.4
⇒ 2x = 16
⇒ x = 8 km
So, the distance travelled by Jaylen = 8 km and by Ken = 8 - 2.4 = 5.6 km
Step 2: Finding the average speed traveled by Ken:
Since it is given that,
Jaylen's speed was 30 m/min faster than Ken's speed.
So,
For 30 m, the time = 1 min
then for 2.4 km i.e., 2400 m, the time = 80 min.
Therefore,
the average speed of Ken S = D/t
⇒ S = 5600 m / 80 min
∴ S = 70 m/min.
So, the average speed of Jaylen will be 70 m/min + 30 m/min = 100 m/min.
Thus, the average speed of Ken is 70 m/min.
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given triangle abc, ab =bc=ac area of triangle abc 25 sq root 3 divide 4 cm. find the perimeter of abc tirangle
Answer:
[tex]\boxed{Circuit_{\Delta ABC} = 15~cm }[/tex]
Step-by-step explanation:
The ABC triangle is an equilateral triangle.
[tex]\mid AB\mid = \mid BC\mid = \mid AC\mid[/tex]
The drawing in the attachment.
I am entering meaningfully:
a - side length of an equilateral triangle
[tex]a=\mid AB\mid = \mid BC\mid = \mid AC\mid[/tex]
[tex]P_{\Delta} =\dfrac{a^{2} \sqrt{3} }{4}[/tex] - equilateral triangle area formula
[tex]P_{\Delta} =\dfrac{25 \sqrt{3} }{4}~~\land~~P_{\Delta} =\dfrac{a^{2} \sqrt{3} }{4}~~\Rightarrow~~\dfrac{a^{2} \sqrt{3} }{4}=\dfrac{25 \sqrt{3} }{4}\\\\\\\dfrac{a^{2} \sqrt{3} }{4}=\dfrac{25 \sqrt{3} }{4}~~\mid~~\div ~~\dfrac{\sqrt{3} }{4} \\\\\\\dfrac{a^{2} \sqrt{3} }{4}\cdot \dfrac{4}{\sqrt{3} } =\dfrac{25 \sqrt{3} }{4}\cdot \dfrac{4}{\sqrt{3} } \\\\a^{2} =25~~\\\\a^{2} =5^{2} ~~\land~~a > 0~~\Rightarrow~~\boxed{a=5~cm}\\\\\\[/tex]
[tex]Circuit_{\Delta ABC} =a+a+a\\\\Circuit_{\Delta ABC} =3a~~\land~~a=5~cm\\\\\boxed{Circuit_{\Delta ABC} =3\cdot 5 = 15~cm }[/tex]
The perimeter of the triangle ABC is 15.Question 6 (Essay Worth 10 points)
(05.01 HC)
Monogram Masters advertises on its website that 92% of customer orders are received within five working days. They performed an audit from a random sample
of 200 of the 3,000 orders that month and it shows 175 orders were received on time.
Part A: Can we use a normal approximation? Explain. (5 points)
Part B: If Monogram Masters customers really receive 92% of its orders within five working days, what is the probability that the proportion in the random sample
of 200 orders is the same as the proportion found in the audit sample or less? (5 points)
Considering the problem described, we have that:
a) The normal distribution can be used, as both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex].
b) There is a 0.0132 = 1.32% probability that proportion in the random sample of 200 orders is the same as the proportion found in the audit sample or less.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The parameters of the binomial distribution are:
n = 2000, p = 0.92.
Hence:
np = 200 x 0.92 = 184.n(1-p) = 200 x 0.08 = 16.Since both [tex]np \geq 10, n(1 - p) \geq 10[/tex], a normal approximation can be used. The mean and the standard deviation of the approximation are given as follows:
[tex]\mu = np = 200 \times 0.92 = 184[/tex].[tex]\sigma = \sqrt{np(1 - p)} = \sqrt{200 \times 0.92 \times 0.08} = 3.8367[/tex]The probability that proportion in the random sample of 200 orders is the same as the proportion found in the audit sample or less, using continuity correction, is P(X < 175.5), which is the p-value of Z when X = 175.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{175.5 - 184}{3.8367}[/tex]
Z = -2.22.
Z = -2.22 has a p-value of 0.0132.
0.0132 = 1.32% probability that proportion in the random sample of 200 orders is the same as the proportion found in the audit sample or less.
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2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75.
What value of x will make the triangles similar by the SSS similarity theorem?
1.5
20
30
The value of x would make the triangles similar by the SSS similarity theorem would be 30 . Option C
How to determine the value
The SSS similarity theorem of triangles holds that if the three sides of two triangles are proportional, then the triangles are similar.
If the two triangles are to be similar, we have that:
45/x = 75/50
Cross multiply
x = (45 × 50)/75
x = 2250/75
x = 30
Therefore, the value of x would be 30 . Option C
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PLEASE HELP ME ASAPP
Answer:
The correct answer would be B) 2
Answer:
C 1/2
Step-by-step explanation:
Since the angels of these triangles are same,they are totally similar.
The ratios of their sides are
10/20=1/2
8/16=1/2
6/12=1/2
So, The scale factor is 1/2.
a circle and triangle can intersect in a) a point b) a circle c) a triangle d) a line
A circle and a triangle can intersect in a point.
What is intersection at a point?
This refers to the fact that two lines are able to meet at a given point. The point where they meet is the point of intersection.
A circle is known to be able to intersect with a triangle in three different ways and at one point.
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What does f(0) mean?
Answer:
it means y intercept
Step-by-step explanation:
Mickey use three calculations to find how much he would spend on seven cartons of eggs 12 cartons of eggs cost $22.20 describe his error
Mickey, Making errors could be that he must be found out that cost of one carton is $0.50, by dividing 12 cartons with total cost and by this e figured it out the cost of 7 carton is just $3.5.
In this question is arithmetic, what we have in, the question is 12 cartons of eggs cost $22.20. we need to find out the cost of seven cartons.
What is arithmetic?In mathematics it deals with numbers of operations according to the statements.
Here, the cost of one carton is given by;
= 22.20/12 = $1.85
now the cost of seven cartons,
= 1.85 x 7 = 12.95 ≅ $ 13
Thus, Mickey made the mistake in his calculation and didn't get the right cost for seven cartons which is $13.
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3x + 4y = 3
4y + 3x = 4
How many times will the lines intersect?
Step-by-step explanation:
here we have to know that, if A/B=A'/B' is equal to 1 it means it doesn't cut. if it isn't equal to 1, it does.
A=3 B=4
A'=4 B'=3
3/4=4/3 it cuts. Now, they are straight lines because we don't have x² or anything, so they can just intersect once between them.
help me out with this question and i’ll give you brainly!!!
Answer:
the widths of the wire :)
Step-by-step explanation:
Which graph shows the solution to the inequality -3x-7 <20?
-10
←++
-10
-10
←++
-10
-5
-5
-5
-5
0
0
0
0
5
5
5
5
10
10
10
10
Answer:
x > 9
Step-by-step explanation:
Hello!
First let's solve the inequality for x.
Flip the sign if you are dividing by a negative number.
Solve for x[tex]-3x - 7 < 20[/tex][tex]-3x < 27[/tex][tex]x > 9[/tex]Now let's graph it on a number line. If it is a greater or less than symbol, we use an open circle. If it is a greater than or equal to or a less than or equal to, we use a closed circle.
Plot the point of 9 with an open circle, and shade in a line towards the right (all values greater than 9).
a boat sails from port p to port q at a speed of 20 km/h along a straight course. once the boat reaches port q, it sails back to port p along the same course at a speed of 30 km/h. if the total time taken by the boat is 1 hour, find the distance between ports p and q.
Answer:
12
Step-by-step explanation:
Time=D/S
T1=PQ/20
T2=PQ/30
Total Time=T1+T2
1=PQ/20+PQ/30
PQ=12
20 points, Find the area of the rectangle
Answer: 24yd^2
Step-by-step explanation:
area of triangle=(1/2) (base)(height) eq(*)
from given triangle
height =6 yd
base =8yd
putting values in eq(*)
area=(1/2)(8)(6)
area =24yd^2
Answer:
24yd²
Step-by-step explanation:
Area of a triangle=1/2*base*height
1/2*8*6
u'll be left with
4*6=24
Therefore Area of the triangle is 24yd².
HOPE THIS HELPS
in10 words define parallel lines
Parallel lines are lines in a plane that are always the same distance apart.
☆...hope this helps...☆
_♡_mashi_♡_
Lines with the same slope that never touch each other.
Parallel lines share the same slope (direction). Attached is an example of two lines parallel to each other, [tex]y=2x-1[/tex] in red and [tex]y=2x+1[/tex] in green. They both have a slope of [tex]2[/tex], which is what makes them parallel.
A mother is 46 years old and her son is 21 years old in 2021. In what year was the mother six times as old as the son ?
Answer:1981
Step-by-step explanation:
When asked to explain why there is no solution to |3x+7|-5 Jack said, "It is not a solution because the 5 is negative." Jack is on the right track but his reasoning is inomplete. Give a better answer on lines below
There is no solution for the equation | 3x+7|-5.
When asked to explain why there is no solution to |3x+7|-5 Jack said, "It is not a solution because the 5 is negative." Jack is on the right track but his reasoning is incomplete
equation are format of a link which process over mathematical operators like addition, subtraction etc.
| 3x+7|-5 has no solution because the data is incomplete. Without know there limits or equal to zero, less than zero or greater than zero this system of equation cannot be defined. That is why there is no solution for | 3x+7|-5.
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What is the solution to the linear equation? 2.8y 6 0.2y = 5y – 14 y = –10 y = –1 y = 1 y = 10
The solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.
Given linear equation 2.8y+6+0.2y=5y-14 and we have to find the solution of the equation.
An equation is relationship between two or more variables which is expressed in equal to form. It is solved in order to find the values of variables. Equation of two variables look like ax+ by=x.
The given linear equation is 2.8y+6+0.2y=5y-14 which can be solved as under:
2.8y+6+0.2y=5y-14
We have to add the coefficients of same variables. Coefficients are the numbers which are present with the variable.
3y+6=5y-14
We have to take same variables at one side.
3y-5y=-14-6
-2y=-20
y=-20/-2
y=10
Hence the solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.
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Find in degrees.
8
V113
0
7
?] degrees
Round to the nearest hundredth.
Answer: θ≈48,81°.
Step-by-step explanation:
[tex]sin\theta=\frac{8}{\sqrt{113}}\\sin\theta } =\frac{8*\sqrt{113} }{\sqrt{113}*\sqrt{113} } \\sin\theta=\frac{8*\sqrt{113} }{113} \\sin\theta\approx0,75258\\\theta\approx48,81^0.[/tex]
Good luck an' have a nice day!
Consider this complex fraction.
10|3|2|3
Step-by-step explanation:
[tex] = \frac{ \frac{10}{3} }{ \frac{2}{3} } [/tex]
[tex] = \frac{10}{3} \div \frac{2}{3} [/tex]
[tex] = \frac{10}{3} \times \frac{3}{2} [/tex]
[tex] = \frac{9 + 1}{3} \times \frac{3}{2} [/tex]
[tex] = 3 \frac{1}{3} \times \frac{3}{2} [/tex]
[tex] = 3 \frac{1}{3} .( \frac{3}{2} )[/tex]
The answer is B.
What is the value of the discriminant of the quadratic equation-2x^2=-8x+8,and what does its value mean about the number of real number solution the equatioj has?
The value of the discriminant is zero and therefore the equation has two equal and real roots.
What is discriminant ?For a quadratic Equation ax²+bx+c = 0 , the discriminant is D = b²-4ac
The given quadratic equation is -2x² = -8x+8
comparing with the standard equation
a = 1
b = -4
c = 4
Simplifying the equation given
[tex]\rm -2x^2+8x-8 = 0\\\\ -2(x^2-4x+4) = 0\\\\x^2-4x+4 = 0[/tex]
The discriminant is given by
D = (-4)²-4 * 1 *4
D = 16-16
D = 0
If D = 0 ,the equation has two equal and real roots.
Therefore, The value of the discriminant is zero.
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Compare the graphs f(x)=(x-10)^2+8 with the graph of f(x)=x^2
Answer:
b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).
Step-by-step explanation:
See attached image.