Answer:
16days
Step-by-step explanation:
This is an inverse proportionality
Let the number of men be m
Let the time taken in days be d
Hence m ∝ 1/d
m = k/d
If 8 men can complete the project in 24 days, then;
8 = k/24
k = 8*24
k = 192
To determine the time it will take 12 men to complete the same job, we will say;
m = k/d
12 = 192/d
d = 192/12
d = 16
Hence it will take 12men 16days to finish the same job
Kim and Courtney share a 16oz box of cereal. By the end of the week, Kim has eaten 3/8 of the box and Courtney has eaten 1/4 of the box of cereal. What fraction of the box is left?
Answer:
3/8 of the box is left.
Step-by-step explanation:
Answer:
3/8 is left over
Step-by-step explanation:
First we have to convert 1/4 to 3/8 to do this times 1/4 by two to get 2/8
Next add 3/8 and 2/8 which equals 5/8
Finally, we need to subtract 5/8 from 8/8 to get 3/8
Hope this helped!!
Write the number 8.7 x 10^-6 in standard form.
Xander needs to collect at least 180 cans for a food drive to earn community service credit. He has already collected 64 items. describe in words
F(x)=-x^2 find f(3)……………………………
Answer:
- 9
Step-by-step explanation:
[tex]F(x)=-x^2 \\ \\ plug \: x = 3 \\ \\ F(3)=-(3)^2 \\ \\F(3) = - 9[/tex]
What is the solution of the equation?
Answer:
+8 and -8, 2nd answer from the right.
Round to the nearest tenth
Answer:
7.0
Step-by-step explanation:
Tangents form right angles, so AOB is a right triangle.
Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.
5^2 + B^2 = 8.6^2
25 + B^2 = 73.96
B^2 = 48.96
B = squareroot 48.96
B = 6.997 --> 7.0
Answer: r is 7
Step-by-step explanation:
ABO is a right triangle
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]
Which of the following is a sequence?
A 3, 6, 9, 18, ...
B 3, 6, 12, 18, ..
C 0.3, 0.7, 1.3, 1.5, ...
D 0.3, 0.6, 1.2, 2.4,
Answer:
The answer of this question is D
Step-by-step explanation:
Time 2
A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teacher schedule in a night?
Answer:
3 lessons
Step-by-step explanation:
available hours: 4 hrs 30 min
time per lesson: 1 hr 30 min
2 lessons is 3 hrs
which leaves even time for one more lesson after 2 lessons
So, she can schedule 3 lessons in 4 hrs in 30 min
The following dot plots compare the height of the members of the basketball team and the swimming team.
Determine the mean, median, mode and range for the dot plot. Show your work.
(2pts) Mean:
(2pts) Median:
(1pt) Mode:
(2pts) Range/Spread:
I'm not confident with the Mean but the rest should be correct.
Mean - 709.6 ( All numbers added up then, divided by the numbers there are)
Median - 65 ( Number in the middle)
Mode - 65 ( Most repeated number)
Range - 8 ( Greatest number - Smallest number)
In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?
Answer:
12
Step-by-step explanation:
You want to put a 5 inch thick layer of topsoil for a new 26 ft by 27 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answer:
Step-by-step explanation:
he volume of the topsoil is
28 ft by 21 ft by 5/15 ft = 245 cubic feet
There are 27 cubic feet in one cubic yard.
245/27 = 9.074074074.... = 9.074
Need 9.25 = 9 and 1/4 cubic yards
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,025 and a standard deviation of $230. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 60 one-bedroom apartments and finding the mean to be at least $1,955 per month
Answer:
The probability is "0.9908". The further explanation is provided below.
Step-by-step explanation:
The given values are:
Mean,
[tex]\mu=2025[/tex]
Standard deviation,
[tex]\sigma =230[/tex]
Sample,
[tex]n=60[/tex]
According to the question,
The probability of selecting a sample of 60 one-bedroom apartments will be:
= [tex]P(\frac{\bar{x}- \mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{1955-2025}{\sqrt{\frac{230}{\sqrt{60} } } } )[/tex]
= [tex]P(Z\geq -2.36)[/tex]
= [tex]1-P(Z \leq -2.36)[/tex]
After placing the values, we get
= [tex]0.0092[/tex]
or
= [tex]09908[/tex]
Corbin can shoot 24 baskets In 3 minutes. Which table best
represents this relationship?
Answer:
Table CStep-by-step explanation:
This is the proportional relationship:
y = kxWe have x = 3, y = 24, then k is:
24 = 3k k = 8The table will look as:
x = 1 ⇒ y = 1*8 = 8x = 2 ⇒ y = 2*8 = 16x = 5 ⇒ y = 5*8 = 40Correct choice is C
Answer:
c
Step-by-step explanation:
adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°
Answer:
i. 82°
ii. 14°
iii. 28°
iv. 47°
v. 58°
Step-by-step explanation:
The trigonometric functions are given as:
Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Thus,
i. adjacent leg / hypotenuse = 0.139 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.139
= 82°
ii. opposite leg / adjacent leg = 0.249 = Tan θ
θ = [tex]Tan^{-1}[/tex] 0.249
= 14°
iii. opposite leg / hypotenuse = 0.469 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.469
= 28°
iv. adjacent leg / hypotenuse = 0.682 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.682
= 47°
v. opposite leg / hypotenuse 0.848 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.848
= 58°
Corresponding Angles are congruent.
Which angle corresponds with <3?

Answer:
<5
Step-by-step explanation:
angle correspondant
10111011/111 binary division
Answer:
91090.1891892
Step-by-step explanation:
rounded it would be 91090
Yolanda painted 2/5 of a wall in 40 minutes. If she keeps painting at the same rate, how much longer will it take her to finish painting the wall
Answer:
60 minutes
Step-by-step explanation:
She painted 2/5 of the wall.
She still needs to paint 3/5 of the wall.
3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.
1.5 * 40 minutes = 60 minutes.
Answer: 60 minutes
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
I believe its c
Step-by-step explanation:
Answer:
(4, -11)
Explanation:
The coordinate's signs just change (negative becomes positive and vise versa)
Tim played soccer for 55 minutes this afternoon. He started at 3:20. What time did he finish?
mrs shalini asked her students to draw pictures of their home. 17/30 used color pencils and 11/30 used crayons for coloring. what fraction of the class used either color pencils or crayons?
Answer:
23/25 of the class used either color pencils or crayons
Step-by-step explanation:
56% used color pencils
36% used crayons
36% + 56% = 92%
turn 92% into a fraction = 92/100
simplify = 23/25
Given: ΔSTQ
ST=TQ
SD⊥TQ
m∠1=32°
find: m∠S, m∠T, m∠Q
Answer:
∠ S = 58° , ∠ T = 64° , ∠ Q = 58°
Step-by-step explanation:
the sum of the 3 angles in Δ DQS = 180° , that is
∠ Q + ∠ 1 + 90° = 180°
∠ Q + 32° + 90° = 180°
∠ Q + 122° = 180° ( subtract 122° from both sides )
∠ Q = 58°
given ST = TQ , then Δ STQ is isosceles with base angles congruent, that is
∠ S = ∠ Q = 58°
the sum of the 3 angles in Δ STQ = 180° , that is
∠ T + ∠ S + ∠ Q = 180°
∠ T + 58° + 58° = 180°
∠ T + 116° = 180° ( subtract 116° from both sides )
∠ T = 64°
Pls help me complete this
Answer: The number of times a yellow cube will be drawn is 390 times.
Step-by-step explanation: Like the last question with the blue cubes, set up a ratio.
Since it is still 240 times drawn and we need to figure out how many times a yellow cube will be drawn from 1200 times, the top number only changes.
78/240 = x/1200
Multiply 78 and 1200, which is 93,600.
Divide that by 93,600, which is 390.
Name the marked angle in 2 different ways.
Answer:
Angle QOP
Angle QON
Note : O is the vertex
So it should be placed in the middle when you write .
For patients who have been given a diabetes test, blood-glucose readings are approximately normally distributed with mean 127 mg/dl and a standard deviation 10 mg/dl. Suppose that a sample of 4 patients will be selected and the sample mean blood-glucose level will be computed. Enter answers rounded to three decimal places.
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between
the lower-bound of [BLANK] and the upper-bound of [BLANK]
Answer:
Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.
Step-by-step explanation:
Empirical Rule
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question:
Mean of 127, standard deviation of 10.
For the sample mean:
By the Central Limit Theorem, mean is 127, while the standard deviation is [tex]s = \frac{10}{\sqrt{4}} = 5[/tex]
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between?
By the Empirical Rule, within 2 standard deviations of the mean. So
127 - 2*5 = 117 mg/dl
127 + 2*5 = 137 mg/dl.
Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.
functions A and B are shown in the equation and graph. select the true statement.
fill in the blanks
[tex] {(x + 3)}^{2} - x - 3 = (x + 3) \times ............[/tex]
please answer my question I will mark you as brainliest and I will follow you
Answer:
Step-by-step explanation:
(x + 3)² - x - 3 = (x +3 )² - (x + 3)
= (x +3)(x + 3) - (x + 3)*1
= (x + 3) [ x + 3 - 1]
= (x + 3 (x + 2)
rectangle pqrs will be translated to the point Q will be located at 8,3 .
what will be the.coordinates of point R
The coordinates of point R' are given as follows:
(8,1).
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.The coordinates of points Q and Q' are given as follows:
Q(6,3), Q'(8,3).
Hence the translation rule is given as follows:
(x,y) -> (x + 2, y).
The coordinates of point R are given as follows:
R(6,1).
Hence the coordinates of point R' are given as follows:
(6 + 2, 1) = (8,1).
More can be learned about translation at brainly.com/question/29209050
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couch Emanuel is trying to lose weight. he starts 2017 weighing 296 pounds. If he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Coach Emanuel is at most 251 pounds
Will give brainlist for once in my life
Answer:
15 weeks
Step-by-step explanation:
I just answered this one not too long ago
It will take 15 weeks for Emanuel to lose at most 251 pounds.
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.
If he plans to burn enough calories to lose 3 pounds per week,
We need to find that how many weeks will pass before Emanuel is at most 251 pounds,
So, let the number of weeks be x,
We will use here the concept of equations solving,
So, establishing the equations,
296 - 3x = 251
296 - 251 = 3x
45 = 3x
x = 15
Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.
Learn more about equations, click;
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5/8 - 1/4 simplest form
Answer:
3/8
Step-by-step explanation:
5/8 - 1/4
L.C.M =8
5-2=3
=3/8
Tom has seven blue Margaret Benny has four blue how many blue mop with two they have in all
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
7+4=11