The amount of workers varies inversely with the time, in days, to complete a project. Five workers can complete a certain project in 24 days. How many workers will be needed to complete the project in 15 days?
9514 1404 393
Answer:
8
Step-by-step explanation:
The number of days has gone down by a factor of 15/24. The number of workers is inversely proportional, so must increase by a factor of 24/15 = 8/5.
(5 workers) × (8/5) = 8 workers
8 workers are needed to complete the project in 15 days.
B. Evaluate
a) [ (-48) ÷ 12 ] ÷ 4
b) [ (-16) +6 ] ÷ [(-2) +1 ]
c) 0 ÷ (-15)
Answer:
A. -1
B.10
C.0
Step-by-step explanation:
Use calculator*
What are the terms in the expression 6r + 5y +3
Step-by-step explanation:
Your que. isn't very clear
Let X denote the number of alpha particles emitted by a sample of Barium-133 in one tenth of a second. The following 50 observations of X were taken with a Geiger counter in a fixed position:
7 4 3 6 4 4 5 3 5 3
5 5 3 2 5 4 3 3 7 6
6 4 3 11 9 6 7 4 5 4
7 3 2 8 6 7 4 1 9 8
4 8 9 3 9 7 7 9 3 10
The experimenter is interested in determining whether X has a Poisson distribution.
a. What is λMLE for the parameter λ of a Poisson distribution? Compute λMLE for the above data.
b. Partition the set of outcomes for this experiment into the sets A1 = {0, 1, 2, 3}, A2 = {4}, A3 = {5}, A4 = {6}, A5 = {7}, and A6 = {8,9,10,...}. Assuming X ∼ Poisson(λMLE), compute P(X ∈ Ai) for i = 1,...,6.
c. Use a Chi-square test with the above partition to test:
H0 : X ∼ Poisson(λMLE),
H1 : X ∼/ Poisson(λMLE).
Answer:
can you further elaborate with a picture?
Step-by-step explanation:
PLEASEEEEE HELPPPPPPPP
Answer:
2 and 4 has no soulotions, and C has one
Step-by-step explanation:
Determine which of the following are solutions to the equation below.
Answer:
Option c) +/- √14
Step-by-step explanation:
+/- √14² = 14
Answer:
c
Step-by-step explanation:
c. +/-radical 14 this answer of x square = 14
Solve for x:
y = a + cx
Answer:
[tex]\large{x=\frac{y-a}{c}}[/tex]
Simplified
[tex]\large{x=\frac{y}{c}-\frac{a}{c}}[/tex]
You can either choose simplified or the first one. Both solutions work.
Step-by-step explanation:
First, we have to isolate x-term.
[tex]\large{y=a+cx}[/tex]
This form of equation is called "Literal Equation" where y-term is currently isolated. Now we are going to isolate x-term by subtracting both sides by a-term.
[tex]\large{y-a=a+cx-a}\\\large{y-a=cx}[/tex]
We can say that we simply move the term to the another side and change the sign to the opposite (From plus to minus)
The next thing we are going to do is to divide the whole equation by c-term. Remember, we do not just divide y-term or a-term. We divide the whole expression.
[tex]\large{\frac{y-a}{c}=\frac{cx}{c}}\\\large{\frac{y-a}{c}=x}[/tex]
Finally, the x-term is isolated and thus been solved.
The form of [tex]\large{\frac{y-a}{c}}[/tex] can be simplified to [tex]\large{\frac{y}{c}-\frac{a}{c}}[/tex]
Answer:
x = [tex]\frac{y-a}{c}[/tex]
Step-by-step explanation:
subtract 'a' first
divide by 'c' second
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Select all statements that must be true.
Step-by-step explanation:
the third Statement is true, fourth statement is trueand the fifth statement is also true because basically we need to find linear scale factor
Options 2nd, 3rd and 4th are correct options.
What are similar objects?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given that, Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
As we know, in similar objects, the ratio of corresponding sides are equal.
Therefore, AB/A'B' = BC/B'C' = CD/C'D' = AD/A'D'
Hence, Options 2nd, 3rd and 4th are correct options.
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Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase?
the answer is 24 water pour into the vase
solve the following proportion for v
[tex] \frac{ v}{13} = \frac{8}{11} [/tex]
round your answer to the nearest tenth
Parallel slope of line x-7y=7
Answer:
The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!
Step-by-step explanation:
x - 7y = 7
-7y = -x + 7
7y = x - 7
y = x/7 - 1
5 Show
for
on the number line below.
7/5 - 5/5 on the number line
Answer:
2/5
<|----|----O----|----|----|----|----|----|-> *scale of 1/5 per |
0 1/5 2/5 3/5 4/5 5/5 6/5 7/5
Step-by-step explanation:
7/5 - 5/5 = 2/5
There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /
Most water-treatment facilities monitor the quality of their drinking water on an hourly basis. One variable monitored is pH, which measures the degree of alkalinity of acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH is 7.0 is neutral. One water-treatment plant has a target pH of 8.5. The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively. (a) Set up the null and alternative hypotheses to test whether the mean pH value mu of the water from the plant differs from 8.5. (b) What test statistic should be used based on the available sample information
Answer:
a) The null hypothesis is [tex]H_{0}: \mu = 8.5[/tex] and the alternate hypothesis is [tex]H_{a}: \mu \neq 8.5[/tex]
b) A test statistic of -2.06 should be used.
Step-by-step explanation:
Question a:
One water-treatment plant has a target pH of 8.5.
At the null hypothesis, we test if the mean is close to the target. So, the null hypothesis is:
[tex]H_{0}: \mu = 8.5[/tex]
At the alternate hypothesis, we test if it differs from 8.5, so the alternate hypothesis is:
[tex]H_{a}: \mu \neq 8.5[/tex]
Question b:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
8.5 is tested at the null hypothesis:
This means that [tex]\mu = 8.5[/tex]
The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively.
This means that [tex]n = 17, X = 8.42, \sigma = 0.16[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{8.42 - 8.5}{\frac{0.16}{\sqrt{17}}}[/tex]
[tex]z = -2.06[/tex]
A test statistic of -2.06 should be used.
Which shape has 4 lines of symetry?
A. Equilateral Triangle
B. Thin rhombus
C. rectangle
D. rhombus that is thick as a sqaure
Answer:
My best answer would be D since a square is not on here
Step-by-step explanation:
square
So the square has four lines of symmetry.
The rectangle has only two, as it can be folded in half horizontally or vertically
an equilateral triangle has three lines of symmetry.
Answered by; The One and Only #DRIPPQUEENMO
A taco shop is offering a 20% discount on their nacho plate. The original cost of the nacho plate is $15. After applying the discount, how much would the nacho plate cost?
$10
$12
$5
$3
Answer:
3$
Step-by-step explanation:
To find percentage on a discount like this all you have to do is multiply the pre-discount number by your discount percentage.
So all you have to do is:
15 x 0.20
which gives you an answer of 3.
Thus the post-discount amount is $3.
Let f(x) = 5x ^ 4 - 2x ^ 2 - 8x + 3 and g(x) = - 7x ^ 4 + 6x ^ 3 + 10x ^ 2 - x + 4. What is f(x) + g(x) ?
[tex]f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7[/tex]
A cone and sphere have the same volume. The height of the cone is 96 units. What could the values of the radius of the cone and sphere? Round answers to nearest hundredth.
Answer:
r=24
Step-by-step explanation:
[tex]\pi r^2\frac{96}{3} = \frac{4}{3} \pi r^3\\r = 24[/tex]
The values of the radius of the cone and sphere is 24 units.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.
Given that, the height of the cone is 96 units.
A cone and sphere have the same volume.
Volume of a sphere = Volume of a cone
4/3 πr³=1/3 πr²h
4r³=r²h
4r=96
r=24 units
Therefore, the radius is 24 units.
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80 POINTS!!! WILL VENMO $5
1.Chest Elementary School is having a carnival to raise money for new computers and you have been volunteered to construct the cylindrical dunk tank. The tank must be 6 feet across and 7 feet high
Part A) If the dunk tank will be constructed of high-strength plastic sheets, how much plastic sheeting will you need for the sides and bottom of the tank?
Part B) What size (length and width) of rectangular sheet do you need to order for the sides assuming the tank will have only one seam? What diameter of the circle will you order of the tank?
Part C) to prevent injury to the participants, you need to cover the top edge of the tank with rubber edging. How much rubber edging do you need?
Part D)How many gallons of water are needed to fill the dunk tank to a depth of 4 feet and 8 inches to allow the participants to stand up after dunking without being underwater?
Part E)if the water flow out of the fill hose flows at 11.5 liters per minute, how many hours will it take to fill the dunk tank to the above depth
Answer:
WAKA WAKA AFRICAAAA AFRIKA BAM BAM MAMAMAMAMAMAMAMAMAM.A.
So did I get them 5 bucks?
What does a quadratic equation look like?
Answer:
[tex]a{x}^{2} + bx + c = 0[/tex]
Step-by-step explanation:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
Examples of quadratic equations include all of these:[tex]y = {x}^{2} + 3x + 1[/tex]
Hope it is helpful......If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
O A.
3
OB.
4
O C.
5
OD.
6
Reset
Next
Answer:
OD. 6
Step-by-step explanation:
What is the volume of the tank?
Answer:
find the area of the base which is as circle
Base area = pi * R^2 = 3.14 * 400 = 1256
now find the volume by multiplying the base and the height of the tank
Volume = 1256*35= 43960
2.
Which expression is equivalent to Xy 2/9
Answer:
4/18 or divide both by anything or times it
Step-by-step explanation:
Use the following table to find the value of h '(2) if h(x) = f[g(x)]:
x 2 3 4
f(x) 5 1 6
g(x) 4 2 3
f'(x) 1 7 8
g'(x) 3 1 2
(A) 6
(B) 24
(C) 20
(D) 3
Answer:
The values of g(x): 2,8,2. So now what would the answer be then
Step-by-step explanation: h'(1)=f''(g(1))g'(1)=6f'(2)=6*5=30
Which expression best matches the statement:
Four times the sum of three and two.
4x3+2
4x3x2
(4x3) + 2
4 (3+2)
Answer:
4(3+2)
Step-by-step explanation:
3 and 2 are added beforehand, then multiplied by 4, which is why they are in parenthesis.
The effect of the time of day a science class is taught on test scores is being
studied in an experiment. Which of these is most likely to be an extraneous
factor that could also affect test scores?
A. Student clothing
B. Color of the school hallways
C. Principal of the school
D. Length of class period
Answer:D
Step-by-step explanation:
The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.
What is a test analysis?
A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.
Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.
The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.
Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.
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A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 95 months with a standard deviation of 5 months. If the claim is true, what is the probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
Answer:
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 95
Given that the standard deviation of the Population = 5
Let 'X' be the random variable in a normal distribution
Let X⁻ = 96.3
Given that the size 'n' = 84 monitors
Step(ii):-
The Empirical rule
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }[/tex]
Z = 2.383
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = P(Z≥2.383)
= 1- P( Z<2.383)
= 1-( 0.5 -+A(2.38))
= 0.5 - A(2.38)
= 0.5 -0.4913
= 0.0087
Final answer:-
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
please help me
Which would be the best method to use to solve the following equations. Explain your reasoning.
Use each method only once.
Methods:
Factoring
Square root Property
Completing the Square
Quadratic Formula
1. 3x^2 - 192 = 0
Method:
Why:
2. x^2-x-6=0
Method:
Why:
3. x^2-6x-7=0
Method:
Why:
4. x^2-17x-7=0
Method:
Why:
Answer:
The values of x are +8 and -8
Step-by-step explanation:
1. The given equation is :
[tex]3x^2 - 192 = 0[/tex]
We need to find the value of x.
It can be done as follows :
[tex]x^2=\dfrac{192}{3}\\\\x^2=64\\\\x=\pm 8[/tex]
So, the values of x are +8 and -8.
There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks one pen at random and does not replace it, then she another pen.
Answer:
Step-by-step explanation:
Once u type the answer please type how u got it thanks<3
Answer:
[tex]2\frac{3}{4}[/tex]
Step-by-step explanation:
Let's bring them to the same denominator: 4
[tex]2\frac{1}{4} = 2 + \frac{1}{4} = \frac{2\cdot 4}{4} + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4}\\~\\5 = \frac{5\cdot 4}{4} = \frac{20}{4}\\~\\5 - 2\frac{1}{4} = \frac{20}{4} - \frac{9}{4} = \frac{11}{4} = \frac{8}{4} + \frac{3}{4} = \frac{2\cdot 4}{4} + \frac{3}{4} = 2 + \frac{3}{4} = 2\frac{3}{4}[/tex]
