Answer:
Step-by-step explanation:
Remark
Let the shorter base = x
Let the longer base = 3x
h = 5
Area = 60
Formula
Area = (b1 + b2)*h /2
Solution
60 = (x + 3x)*5 / 2 Multiply both sides by 2
2*60 = (x + 3x)*5 Combine like terms
120 = 4x *5
120 = 20x Divide by 20
120/20 = x
x = 6
Therefore the two bases are
x = 6
3x = 18
Answer:
C
Step-by-step explanation:
Working alone, it took Jane 14 hours to mop the warehouse. Stephen can mop the same warehouse in 10 hours. How long would it take them to work together?
Answer:
it will take them 6h to mop the warehouse
Step-by-step explanation:
14*2=7
10*2=5
meddle of these is 6
The time it will take them to work together would be 1.22 hour.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Working alone, it took Jane 14 hours to mop the warehouse.
Stephen can mop the same warehouse in 10 hours.
The time it will take them to work together
[tex]\dfrac{1}{T} = \dfrac{1}{14} + \dfrac{1}{10} \\\\\dfrac{1}{T} = \dfrac{10+ 14}{140} \\\\\dfrac{1}{T} = \dfrac{114}{140} \\\\T= 1.22[/tex]
Learn more about the unitary method;
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#SPJ2
Please find the value of this Rectangular Prism
Answer:
168cm^3
Step-by-step explanation:
area of a cube is B*H*L
(6)*(7)*(4) = area
168cm^3 = area
Answer:
168 cm³
Step-by-step explanation:
V = w · h · l
4 · 6 · 7
V = 168
Help me please :) thanks
Answer:
20 and 90
Step-by-step explanation:
what is the range of 0 and 8
Answer:
8
Step-by-step explanation:
range=highest number - lowest number
=8 - 0
=8
Beth is covering a cylinder can't create a pencil container for a test. The cat is 15 cm tall and has a diameter of 7 cm. How much paper what she need to cover only the sides of the can.
Please help...thx
Answer:
[tex]A = 329.7[/tex]
Step-by-step explanation:
Given
[tex]h = 15[/tex] --- height
[tex]d = 7[/tex] --- diameter
Required
Paper needed to cover the sides
To do this, we simply calculate the surface area of the cylinder (without considering the top and bottom)
This is calculated as:
[tex]A = 2\pi rh[/tex]
Where
[tex]r = \frac{d}{2}[/tex]
[tex]r = \frac{7}{2}= 3.5[/tex]
The formula becomes
[tex]A = 2 * 3.14 *3.5 *15[/tex]
This gives:
[tex]A = 329.7[/tex]
PLEASE HELP THIS IS DUE & I DON'T UNDERSTAND AND FEEL LIKE GARBAGE: On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(10, 20), R(−10, 20), S(−10, −10), and T(10, −10), and represents the floor plan of a room. Find the perimeter and area of the room.
The perimeter of the room is
feet. The area of the room is
square feet.
Answer:
perimeter is the length of all sides added together, since this a square and one side is 20 length, all sides must be 20 length. 20 + 20 + 20 + 20 = 80
The area is the length times width. 20 * 20 is 400.
Step-by-step explanation:
NEED HELP Shehuwywbejdckisgw ejeiduxsvbsjebebwe
Answer:
2183475 dont know
Step-by-step explanation:
Answer:
15x = 58y
Step-by-step explanation:
If 2 and 5 are 3 distance apart then 12 and 15 are 3 distance apart.
the difference between 2 and 5 is 5 because 86-81 is 5. So if we subtract 63-5 we will get 58
Hope this helps! Please leave any questions or concerns in the comments byeee <3
NEEEEEEEEED HELPPP step by step
Answer:
Step-by-step explanation:
(5-^2)-^4 PLEASE TELL ME EHSY THIS IS
390625
^if that’s what you meant in the picture cause your question was confusing
help pls what is he surface area measured in square centimeters, of the shape
below do not include units in your answer
Answer:
Solution given:
l=8cm
b=8cm
h=3cm
now
total surface area=2(lb+bh+lh)
=2(8*8+8*3+8*3)=224cm²
224 cm² is a required volume.
please help me with slide number 9
Alice deposited 600 dollars in a new savings account, no other deposits were made, after 3 months interest was computed at an annual interest rate of 3 1/2 percent. how much interest did her money earn?
Answer:
: Gumuhit ng tatlong bagay na sa alam mo ay naging epekto ng digmaan. Iguhit ito Sa loob
ng mga bilog.
Step-by-step explanation:
Let's Write!
Directions: Write at least a five-sentence paragraph about the issue conveyed in the
picture using a pattern of idea development with its appropriate grammatical signals. A
rubric is given below for your guidance. Write your paragraph on a separate sheet of
paper.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement
is false. Write your answer on your answer sheet.
1. Always follow the routine “clean up while in use and clean up before keeping it”.
2. Manufacturer's instructions for operation and maintenance should be followed.
3. Employers have some control over potential hazards.
4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.
5. For the equipment with wheels, clean and check wheel-driven gears.
6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools
should be displayed for easy used and reach.
7. Only qualified people should carry out the maintenance and they should also keep
records of their inspections.
8. Check-up equipment irregularly to prevent serious breakdown.
9. Place guards on machinery to protect fingers and limbs.
10. Store electrical equipment outdoors.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement
is false. Write your answer on your answer sheet.
1. Always follow the routine “clean up while in use and clean up before keeping it”.
2. Manufacturer's instructions for operation and maintenance should be followed.
3. Employers have some control over potential hazards.
4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.
5. For the equipment with wheels, clean and check wheel-driven gears.
6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools
should be displayed for easy used and reach.
7. Only qualified people should carry out the maintenance and they should also keep
records of their inspections.
8. Check-up equipment irregularly to prevent serious breakdown.
9. Place guards on machinery to protect fingers and limbs.
10. Store electrical equipment outdoors.WORK #1
Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template
below.
Digestive Disease
Causes
Symptoms
TreatmentWRITTEN WORK #1
Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template
below.
Digestive Disease
Causes
Symptoms
Treatment
Find the value of y ?
thank youuuuu
Answer:
Step-by-step explanation:
y = 3*[tex]\sqrt{15}[/tex]
A box of 10 bars of soap costs $10.88, while the same brand with 4 more bars costs $17.62. Which is the better buy? Round your answer to the nearest cent if necessary.
The box of 10 is a better buy because each bar of soap is worth $1.08 instead of $1.26 that you would pay for the box of 14.
HELPPP PLSS
DUE TN
WILL GIVE BRAINLIST
Answer:
49/144
Step-by-step explanation:
Answer:
49/144
Step-by-step explanation:
How do you find the cosine and tangent of an angle if you are given the
sine? You may make up (if you like) an example of this to help
illustrate (remember, sine can only be between -1 and 1).
Answer:
under
Step-by-step explanation:
We have the sin²x+cos²x=1, so we can find the cosine if we have the sine,after we have sin,cos, easily to find the tangent by usingtangent =Sine/cosine
One pipe can fill a tank in 4 hours. A second pipe also requires 4 hours, but a third
needs three hours. How long will it take to fill the tank if all three pipes are open?
Answer:
Step-by-step explanation:
We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:
[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us
3x + 3x + 4x = 12 and
10x = 12 so
x = 1.2 hours
Answer:
1.2 hours
Step-by-step explanation:
we need to see how much each pipes does in the same amount of time
The least common multiple of 3 hours and 4 hours is 12 hours
In 12 hours:
Pipe 1 at 4 hours to fill a tank fills 3 tanks
Pipe 2 at 4 hours to fill a tank fills 3 tanks
Pipe 3 at 3 hours to fill a tank fills 4 tanks
All three pipes can fill 10 tanks in 12 hours
12 hours/10 tanks = 1.2 hours to fill one tank
-------------------------
Doing just the math
1/4 + 1/4 + 1/3 = x
3/12 + 3/12 + 4/12 = 10tanks/12 hours
12hours/10tanks = 1.2 hours
what is 1/4 times 7/9?
Answer:
7/36
Step-by-step explanation:
1/4 × 7/9 = 7/36 Hope that helps!
A fabric manufacturer believes that the proportion of orders for raw material arriving late isp= 0.6. If a random sample of 10 orders shows that 3 or fewer arrived late, the hypothesis thatp= 0.6 should be rejected in favor of the alternativep <0.6. Use the binomial distribution.(a) Find the probability of committing a type I error if the true proportion isp= 0.6.(b) Find the probability of committing a type II error for the alternative hypothesesp= 0.3,p= 0.4, andp= 0.5
Answer:
a) the probability of committing a type I error if the true proportion is p = 0.6 is 0.0548
b)
- the probability of committing a type II error for the alternative hypotheses p = 0.3 is 0.3504
- the probability of committing a type II error for the alternative hypotheses p = 0.4 is 0.6177
- the probability of committing a type II error for the alternative hypotheses p = 0.5 is 0.8281
Step-by-step explanation:
Given the data in the question;
proportion p = 0.6
sample size n = 10
binomial distribution
let x rep number of orders for raw materials arriving late in the sample.
(a) probability of committing a type I error if the true proportion is p = 0.6;
∝ = P( type I error )
= P( reject null hypothesis when p = 0.6 )
= ³∑[tex]_{x=0[/tex] b( x, n, p )
= ³∑[tex]_{x=0[/tex] b( x, 10, 0.6 )
= ³∑[tex]_{x=0[/tex] [tex]\left[\begin{array}{ccc}10\\x\\\end{array}\right][/tex][tex](0.6)^x[/tex][tex]( 1 - 0.6 )^{10-x[/tex]
∝ = 0.0548
Therefore, the probability of committing a type I error if the true proportion is p = 0.6 is 0.0548
b)
the probability of committing a type II error for the alternative hypotheses p = 0.3
β = P( type II error )
= P( accept the null hypothesis when p = 0.3 )
= ¹⁰∑[tex]_{x=4[/tex] b( x, n, p )
= ¹⁰∑[tex]_{x=4[/tex] b( x, 10, 0.3 )
= ¹⁰∑[tex]_{x=4[/tex] [tex]\left[\begin{array}{ccc}10\\x\\\end{array}\right][/tex][tex](0.3)^x[/tex][tex]( 1 - 0.3 )^{10-x[/tex]
= 1 - ³∑[tex]_{x=0[/tex] [tex]\left[\begin{array}{ccc}10\\x\\\end{array}\right][/tex][tex](0.3)^x[/tex][tex]( 1 - 0.3 )^{10-x[/tex]
= 1 - 0.6496
= 0.3504
Therefore, the probability of committing a type II error for the alternative hypotheses p = 0.3 is 0.3504
the probability of committing a type II error for the alternative hypotheses p = 0.4
β = P( type II error )
= P( accept the null hypothesis when p = 0.4 )
= ¹⁰∑[tex]_{x=4[/tex] b( x, n, p )
= ¹⁰∑[tex]_{x=4[/tex] b( x, 10, 0.4 )
= ¹⁰∑[tex]_{x=4[/tex] [tex]\left[\begin{array}{ccc}10\\x\\\end{array}\right][/tex][tex](0.4)^x[/tex][tex]( 1 - 0.4 )^{10-x[/tex]
= 1 - ³∑[tex]_{x=0[/tex] [tex]\left[\begin{array}{ccc}10\\x\\\end{array}\right][/tex][tex](0.4)^x[/tex][tex]( 1 - 0.4 )^{10-x[/tex]
= 1 - 0.3823
= 0.6177
Therefore, the probability of committing a type II error for the alternative hypotheses p = 0.4 is 0.6177
the probability of committing a type II error for the alternative hypotheses p = 0.5
β = P( type II error )
= P( accept the null hypothesis when p = 0.5 )
= ¹⁰∑[tex]_{x=4[/tex] b( x, n, p )
= ¹⁰∑[tex]_{x=4[/tex] b( x, 10, 0.5 )
= ¹⁰∑[tex]_{x=4[/tex] [tex]\left[\begin{array}{ccc}10\\x\\\end{array}\right][/tex][tex](0.5)^x[/tex][tex]( 1 - 0.5 )^{10-x[/tex]
= 1 - ³∑[tex]_{x=0[/tex] [tex]\left[\begin{array}{ccc}10\\x\\\end{array}\right][/tex][tex](0.5)^x[/tex][tex]( 1 - 0.5 )^{10-x[/tex]
= 1 - 0.1719
= 0.8281
Therefore, the probability of committing a type II error for the alternative hypotheses p = 0.5 is 0.8281
The probability of committing a type I is 0.0548, type II error for p = 0.3 is 0.3504, type II error for p = 0.4 is 0.6177, type II error for s p = 0.5 is 0.8281.
The sample size n = 10
What is binomial distribution?Binomial distribution summarizes the number of trials, or observations when each trial has the same probability of attaining one particular value.
[tex]\rm p= \left[\begin{array}{ccc}n\\x\\\end{array}\right] \times p^{x} \times q^{n-x}[/tex]
(a) Probability of committing a type I error if the true proportion is p = 0.6;
∝ = P( type I error )
= P( reject null hypothesis when p = 0.6 )
[tex]\rm p= \left[\begin{array}{ccc}10\\x\\\end{array}\right] \times 0.6^{x} \times 0.6^{10-x}\\[/tex]
∝ = 0.0548
Therefore, the probability of committing a type I error if the true proportion is p = 0.6 is 0.0548
b) The probability of committing a type II error for the alternative hypotheses p = 0.3
β = P( type II error )
= P( accept the null hypothesis when p = 0.3 ) = ¹⁰∑
[tex]\rm p= \left[\begin{array}{ccc}10\\x\\\end{array}\right] \times 0.3^{x} \times 0.3^{10-x}\\[/tex]
= 1 - ³∑
= 1 - 0.6496
= 0.3504
Therefore, the probability of committing a type II error for the alternative hypotheses p = 0.3 is 0.3504
The probability of committing a type II error for the alternative hypotheses p = 0.4
β = P( type II error )
= P( accept the null hypothesis when p = 0.4 )
[tex]\rm \left[\begin{array}{ccc}10\\x\\\end{array}\right] \times 0.4^{x} \times 0.4^{10-x}\\[/tex] = ¹⁰∑
= 1 - ³∑
= 1 - 0.3823
= 0.6177
Therefore, the probability of committing a type II error for the alternative hypotheses p = 0.4 is 0.6177
The probability of committing a type II error for the alternative hypotheses p = 0.5
β = P( type II error )
= P( accept the null hypothesis when p = 0.5 )
¹⁰∑ = [tex]\rm \left[\begin{array}{ccc}10\\x\\\end{array}\right] \times 0.5^{x} \times 0.5^{10-x}\\[/tex]
= 1 - ³∑
= 1 - 0.1719
= 0.8281
Therefore, the probability of committing a type II error for the alternative hypotheses p = 0.5 is 0.8281
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To compare the effectiveness of two treatments, researchers conducted a well-designed experiment using a randomized block design in which the subjects were blocked by age-group (under 40 years and 40 years or older). Which of the following must be true about the randomized block design of the experiment?
(A) The number of subjects in each block is different.
(B) Treatments are randomly assigned to subjects within each block.
(C) The design cannot have a control group because subjects are blocked by age-group.
(D) The experiment uses a matched-pairs design, where subjects from one block are paired with subjects from the other block.
(E) The subjects in one block receive one treatment, and the subjects in the other block receive the other treatment.
Answer:
(B) Treatments are randomly assigned to subjects within each block.
Step-by-step explanation:
In the case when the comparison of the treatments should be done so the researcher want to conducted the experiment where the subjects were blocked by the age group so here the option b is considered as in this the treatments would be allocated on the randomly basis to the subject with respective to the each and every block
Rest of the options are wrong as the number of subjects are same, the design have the control and there is same replication of the number
Answer the questions below.
(a) A pizza parlor has a choice of 11 toppings for its pizzas. From these 11 toppings, how many
different 8-topping pizzas are possible?
(b) 50 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?
✺◟(∗❛ัᴗ❛ั∗)◞✺ ( T_T)＼(^-^ ) ( T_T)＼(^-^ ) ᕙ( • ‿ • )ᕗ (┛◉Д◉)┛彡┻━┻ ᕙ( • ‿ • )ᕗ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (┛◉Д◉)┛彡┻━┻ (ノT＿T)ノ ＾┻━┻ (ノT＿T)ノ ＾┻━┻ (┛◉Д◉)┛彡┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻
Bob has 28 shirts to fold.
Let N be the number of shirts he would have left to fold after folding F of them.
Write an equation relating N to F. Then use this equation to find the number of shirts he would have left to fold after folding 26 of them.
HELP ME PLZ!!!!! Identify the domain of the graph of y = −x2 − 6x − 13. (1 point) All real numbers x ≤ −4 x ≥ −6 x ≥ −2
Answer:
Step-by-step explanation:
All real numbers because x can assume every possible value
1. The set containing no element in it is called
Answer:
Empty set
Step-by-step explanation:
The set containing no element in it is called an empty set.
One of the example of an empty set is as follows :
A = {x : x² = 4, x is odd}
In this case, if x = 2, then x² = (2)² = 4
There is no number other than 2 whose square is equal to 4.
Hence, this is an empty set.
The measure of one angle of a right triangle is 56∘ more than the measure of the smallest angle. Find the measure of the smallest angle.
Answer:
The sum of all angels for any triangle equals 180°
so we have a right triangle which means we have an angle equals 90° ,angle equals=56°.
step by step
[tex]180 - 56 - 90 = 34[/tex]
so the angle tends to equal 34°.
According to this diagram, what is tan 62°?
Answer:
12
Step-by-step explanation:
i think that is the answer
Which is a pentomino?
ОА
ОВ.
ОС.
OD.
Answer:
B.Step-by-step explanation:
Because A. Is not pentomino C. Is not pentominoD. There are no pentominoHELP HELP HELP
Identify the maximum, minimum, y-intercept,
x-intercept, and increasing and decreasing interval on
the graph below.
Answer:
Step-by-step explanation:
Maximum is at (1.5,14).
Minimum is at (4, 0).
y-intercept is at (0, 9)
x intercept is at ( 4, 0).
increasing from x = 0 to x = 1.5 and x = 0 to 6.
decreasing from x = 1.5 to x = 0
Can someone help??
What is the equation of the blue line?
Answer:
y = 4x - 3
Step-by-step explanation:
Find two point of the line
(0,-3) ; (1,1)
Use this formula
(y - y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-(-3)/(1-(-3) = (x-0)/(1-0)
(y+3)/4 = x
y+3 = 4x
y = 4x -3
Answer:
y = 4x -3
Step-by-step explanation:
The y intercept is (0,-3)
Using another point on the line (1,1), we can find the slope
m = (y2-y1)/(x2-x1)
m = (1 - -3)/(1-0)
= (1+3)/(1-0)
= 4/1
The equation for a line in slope intercept for is
y = mx+b where m is the slope and b is the y intercept
y = 4x -3
For what values of x and y is PQRS a parallelogram?
Answer:
x = 3
y = 2
Step-by-step explanation:
GIVEN :-
PQ = 2y + 3QR = 4y + 1RS = y + 5PS = 4x - 3TO FIND :-
The values of x & y for which PQRS will be a parallelogramFACTS TO KNOW BEFORE SOLVING :-
In a parallelogram , pair of opposite sides are always equal in length.
SOLUTION :-
PQRS will be a parallelogram only when :-
PQ = RSand PS = QR1) Assume that PQ = RS.
[tex]=> 2y + 3 = y + 5[/tex]
[tex]=> 2y - y = 5 - 3[/tex]
[tex]=> y = 2[/tex]
∴ For y = 2 , PQ = RS.
2) Now, assume that PS = QR.
[tex]=> 4x - 3 = 4y + 1[/tex]
(Put y = 2 in the equation)
[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]
[tex]=> 4x - 3 = 9[/tex]
[tex]=> 4x = 9 + 3 = 12[/tex]
[tex]=> x = \frac{12}{4} = 3[/tex]
∴ For x = 3 , PS = QR.
CONCLUSION :-
For x = 3 & y = 2 , PQRS is a parallelogram.