Answer:
It takes an apprentice four times as long as the experienced plumber to replace the pipes under an old house. It takes them 14 hours when they work together.
Step-by-step explanation:
5/(4x) = 1/14
x = 35/2
The plumber takes x = 35/2 hours to replace the pipes alone.
The apprentice takes 4x = 70 hours to replace the pipes alone.
Suppose that telephone calls arriving at a switchboard follow a Poisson process with an average of 5 calls per minute. What is the probability up to a minute will elapse by the time 2 calls have come into the switchboard
Answer:
The correct answer is "0.0842".
Step-by-step explanation:
Given:
X = 5
By using the Poisson's distribution formula, we get
The probability will be:
⇒ [tex]P(x=2)=\frac{\lambda^x.e^{-\lambda}}{x!}[/tex]
By substituting values, we get
[tex]=\frac{(5)^2\times e^{-5}}{2!}[/tex]
[tex]=\frac{25\times e^{-5}}{2!}[/tex]
[tex]=0.0842[/tex]
. There are 1,716 students participating in Field Day. They are put into teams of 16 for the
competition. How many teams are created?
Answer:
107 TEAMS
Step-by-step explanation:
1716/16=107
Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. Her job is to analyze which three to buy. How many combinations will she have to analyze
Answer:
10 combinations
Step-by-step explanation:
Given
[tex]n = 5[/tex] --- total production
[tex]r = 3[/tex] --- aircraft to select
Required
The total number of combination
The number of combination is calculated using:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^5C_3 = \frac{5!}{(5 - 3)!*3!}[/tex]
[tex]^5C_3 = \frac{5!}{2!*3!}[/tex]
Expand
[tex]^5C_3 = \frac{5*4*3!}{2*1*3!}[/tex]
[tex]^5C_3 = \frac{5*4}{2*1}[/tex]
[tex]^5C_3 = \frac{20}{2}[/tex]
[tex]^5C_3 = 10[/tex]
-55x / 2 - 10 > -185 / 2
Answer:
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 3
Interval Notation: ( −∞, 3)
You are saving to buy a speed boat. Starting today, you will put $1,000 into an investment account. Each month thereafter, your contribution will be .1% (.001) higher than the month before, so that your contribution next month will be .1% higher than today, and so forth and so on. The investment account has a periodic monthly interest rate of .4% (.004). Ignore taxes. You will make contributions until 5 years from today.
At the end of five years, when you put in your last contribution, how much will you have saved?
Answer:
You will have saved $69,612 after five years.
Step-by-step explanation:
This can be calculated using the for formula for calculating the future value of a growing annuity as follows:
FV = C * (((1 + r)^n - (1 + g)^n) / (r - g)) ……………………………………… (1)
Where;
FW = future value or amount you will have saved after five years = ?
C = first deposit = $1,000
r = periodic monthly interest rate of = 0.4%, or 0.004
g = growth rate of contribution = 0.1%, or 0.001
n = number of months = 5 years * 12 = 60
Substituting all the values into equation (1), we have:
FV = $1,000 * (((1 + 0.004)^60 - (1 + 0.001)^60) / (0.004 - 0.001))
FV = $1,000 * 69.612001854052
FV = $69,612.00
Therefore, you will have saved $69,612 after five years.
A coffee pot holds 5 1/2 quarts of coffee. How much is this in cups?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
22 cups
Step-by-step explanation:
1 quart is 4 cups. So therfore 5 1/2 * 4 =22
Hope this helped :)
solve all for brainiest
Answer:
a =55
b =16
c = 25
d = 9
Step-by-step explanation:
of means multiply is means equals
20% of a is 11
.20 a = 11
Divide by .20
a = 11/.20
a=55
75% of b is 12
.75 b =12
Divide by .75
b = 12/.75
b = 16
80% of c is 20
.80 c =20
Divide by .80
c = 20/.80
c =25
200% of d is 18
2.00 d = 18
Divide by 2.0
d = 18/2
d =9
f(x) = x3 + 6x2 – x
f(x) = 30?
Answer and Step-by-step explanation:
The answer is 2 (which is equal to x).
If you were to plug 2 in to the function, the result if 30.
[tex]x^{3}+ 6x^{2} -x\\\\\\\\(2)^3+6(2)^2 - 2 = 30 = f(2)[/tex]
#teamtrees #PAW (Plant And Water)
In 9b3 + 2b4 − 17b + b2, which term has the largest exponent?
(4+2)+8=14 choose an equivalent addition sentence that shows the associative of addition
Answer:
14 = 14
Step-by-step explanation:
(4 + 2) + 8 = 14
6 + 8 = 14
14 = 14
The table shows the first three terms of a
geometric sequence. Which of the following is a
formula for f(n) ?
Answer: E
Step-by-step explanation:
By using substitution we can find the answer is correct or not.
[tex]3(-2)^n\\3(-2)^1\\3(-2)\\-6\\3(-2)^2\\3(4)\\12\\3(-2)^3\\3(-8)\\-24[/tex]
as you can see the equation in answer E worked every time
please please pleaseee help asapppp
Answer:
Step-by-step explanation:
volume of a cylinder=πr^2h
=π*5^2*15
=π*25*15
=375π cm^3
Volume of a cylinder = πr^2h
→ π × 5^2 × 15
→ π × 25 × 15
→ 375π cm^3
Is this True or false ?
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Radical expression.
Find the slope of the line
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 431 gram setting. It is believed that the machine is underfilling the bags. A 26 bag sample had a mean of 421 grams with a standard deviation of 20. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
The p-value of the test is of 0.0086 < 0.01, which means that there is sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 431 gram setting. It is believed that the machine is underfilling the bags.
At the null hypothesis, we test if they are at the correct weight, that is:
[tex]H_0: \mu = 431[/tex]
At the alternative hypothesis, we test if they are underfilled, that is:
[tex]H_1: \mu < 431[/tex]
The test statistic is:
We have the standard deviation for the sample, so the t-distribution is used to solve this question
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
431 is tested at the null hypothesis:
This means that [tex]\mu = 431[/tex]
A 26 bag sample had a mean of 421 grams with a standard deviation of 20.
This means that [tex]n = 26, X = 421, s = 20[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{421 - 431}{\frac{20}{\sqrt{26}}}[/tex]
[tex]t = -2.55[/tex]
P-value of the test and decision:
Using a t-distirbution calculator, the p-value is found using a left-tailed test(test if the mean is less than a value), with 26 - 1 = 25 df and t = -2.55. This p-value is of 0.0086.
The p-value of the test is of 0.0086 < 0.01, which means that there is sufficient evidence to support the claim that the bags are underfilled
Can y’all help me please
Answer:
w = 5
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
28 = 2(2w-1 + w)
Combine like terms
28 =2(3w-1)
Divide each side by 2
28/2 = 2/2(3w-1)
14 = 3w-1
Add 1 to each side
14+1 = 3w-1+1
15 = 3w
Divide each side by 3
15/3 =3w/3
5 =w
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y= -2/5x-6
Step-by-step explanation:
y int is at -6
rise/run= -2/5
Find the greatest common factor of 56, 42, and 98.
Question 13 options:
A)
7
B)
36
C)
14
D)
24
Answer:
C, 14
Step-by-step explanation:
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14. (The greatest factor that they all have in common.)
Please vote brainliest, thanks!
Select the correct measures for x and y.
*Will mark brainliest if correct*
Amy's art class is 6 hours long. How long is her class in minutes?
Answer:
360 minutes.
Step-by-step explanation:
Answer:
360 minutes
Step-by-step explanation:
The top of an 18-foot ladder touches the side of a building 14 feet above the ground. Approximately how far from the base of the building should the bottom of the ladder
be placed?
Answer:
Assuming that ladders should be placed at an 75° angle, let's translate it into a slope of 3.732 of a line (looked the value up, was too lazy to calculate it)
the distance from the orign in the picture is your answer, and one side of a triangle formed by the wall, the ground and the ladder
What is the area of this trapezoid
evaluate 4(3-1)^2.
PLEASE HELPPPPPPPPPP
Answer:
16
Step-by-step explanation:
Start with the paraenthesis: 3-1=2
Then plug it into the equation so 4(2)^2
Do (2)^2 first = 4(4)
4*4 = 16
Hope this helped!
An urn contains three white and four red chips. Each time we draw a chip, we look at its color. If it is red, we replace it along with two new red chips, and if it is white, we replace it along with three new white chips. What is the probability that, in successive drawing of chips, the colors of the rst four chips alternate?
Answer:
The probability that, in successive drawing of chips, the colors of the first four chips alternate = 0.0751
Step-by-step explanation:
Step 1:
The probability that, in successive drawing of chips, the colors of the first four chips alternate, can occur in two ways: RED-WHITE-RED-WHITE (RWRW) or WHITE-RED-WHITE-RED (WRWR).
Step 2:
Given that an urn contains three white and four red chips and that each time we draw a chip, we look at its color. If it is red, we replace it along with two new red chips, and if it is white, we replace it along with three new white chips.
Probability of RWRW is given as follows:
Probabilty of the first being a red = 4/7
Probability of the next being a white = 3/9 = 1/3
Probability of the next being a red = 6/12 = 1/2
Probability of the next being a white = 6/14 = 3/7
Thus, probability of RWRW = 4/7 × 1/3 × 1/2 × 3/7 = 0.0408
Probability of WRWR is given as follows:
Probabilty of the first being a white = 3/7
Probability of the next being a white = 4/10 =2/5
Probability of the next being a red = 6/12 = 1/2
Probability of the next being a white = 6/15 = 2/5
Thus, probability of WRWR = 3/7 × 2/5 × 1/2 × 2/5 = 0.0343
Step 3:
Probability of RWRW or WRWR = 0.0408 + 0.0343 = 0.0751
Therefore, the probability that, in successive drawing of chips, the colors of the first four chips alternate = 0.0751
What's the equation of the axis of symmetry of the function f(x) = x2 + 8x - 10?
A) x= 5
B) x= -4
O C) x=-5
OD) x= 4
Answer:
x = -4
B is the answer
Step-by-step explanation:
To find the axis of symmetry, we will need to find the vertex of this function.
I have provided you with the steps to find the vertex.
After finding the vertex, pay attention to the x-value of the vertex because that is the axis of symmetry too. Hope this helps :)
Put the numbers in order from least to greatest.
.2, -.4, .8,-.9, 1
A. -.4,-.9, 1, 2,8
B. -.9,-4, 1, .2, .8
C. -.9,-.4, .2, .8, 1
D. 1, 2, -4,8, -9
Answer:
B. -.9,-4, 1, .2, .8
Hope this helps!:)
Answer:
B not sure cuz i lit bit cant recognize the question
Step-by-step explanation:
On a coordinate map of the school cultural festival, the information booth is located at (4,5). The ticket booth is located 4 units north of the information booth. What ordered pair represents the location of the ticket booth? A-(0,5), B-(8,5), C-(4,9), D-(4,1)
Answer:
B.
Step-by-step explanation:
Find the missing dimension of the prism
X = 2 cm
Volume = Bh= 8×5×1/2×X= 80
X = 80/20 = 4
Which transformation below will map an image onto itself?
A. A reflection across the y-axis, followed by a reflection across the x-axis.
B. A dilation of 2 followed by a dilation of 1.5
C. A translation right 2 followed by a translation up 2
D. A counterclockwise rotation of 360
Answer:
B
Step-by-step explanation:
a counter clockwiswe rotation of 360
A counterclockwise rotation of 360° maps an image onto itself.
What is a coordinate transformation?Suppose the initial coordinates are (x₁,x₂). We do 4 kinds of operations on the coordinates which include:
the translation which means to move the coordinate up and downdilation which means to expand or contract the length of the coordinate from the originrotation which means to rotate the coordinate about the origin counterclockwise or clockwise. The reflection which means to reflect the coordinate about the x-axis or y-axis.After doing these operations the final position of the coordinates is called the transformation of the initial coordinate.
How to solve it?On a counterclockwise rotation of 360 degree the coordinate comes back to the original position.
Learn more about the coordinate transformation here-
brainly.com/question/9033144
#SPJ2
What is the volume of this object?
Answer:
The volume is 45 cubic units.
So enter "45" into the box.
Step-by-step explanation:
Multiply the dimensions to get the volume. (Length times width times height)
The box is 5 units by 3 units by 3 units.
Solve 5x3x3 (LxWxH) using a calculator...
And you get 45 cubic units.
Answer:
45
Step-by-step explanation:
L= 3
W= 5
H= 3
V=LxWxH
3 x 3 x 5
