Answer:
If a=0.6 and b=0.75, then a·b=9/20 and a/b=4/5
Step-by-step explanation:
The value of a•b =0.045 and a/b = 8
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator
given: a=0.6, b= 0.075
Now, a*b= 0.6*0.075
= 0.045
and, a/b
= 0.6/0.075
=8
Hence, a*b= 0.045 and a/b =8
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On a standardized exam, the scores are normally distributed with a mean of 250 and
a standard deviation of 50. Find the 2-score of a person who scored 375 on the exam.
Answer:
the z-score is within 3
Step-by-step explanation:
first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be
250+50=300+50=350+50=40
so the z-score for the value of 375 is within 3
Answer: 2
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{300-250}{25}
z=
25
300−250
Plug in values
z=\frac{50}{25}
z=
25
50
Subtract
z=2
z=2
Divide
\text{They scored 2 standard deviations above the mean.}
They scored 2 standard deviations above the mean.
An electrician needs 3/4 roll of electrical wire to wire each room in a house . How many rooms can he wire with 6 rolls
Answer:
8 rooms
Step-by-step explanation:
6 ÷ 3/4 which equals 6 x 4/3 = 8
Answer:
8 rooms
Step-by-step explanation:
6 / (3/4) = 8
Jane's dance recital started at 1:17 PM. It ended at 5:34 PM. How long did the recital last?
Answer:
the recital lasted 4 hours and 17 minutes
Answer:
4 hours 17 minutes
Step-by-step explanation:
5.34-1.17
Divide.
(2x2 + 13x + 9) = (x + 7)
I think the right question, should be like this,
= 2x² + 13x + 9/x + 7
So, the quotient is 2x - 1 and the remainder is 16, you can find answer there in attachment.
---------------------------------------
P.S- Sorry for messing writing.
The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
guys answer fastyyytytttttt
Answer:
1/4
Step-by-step explanation:
there are 2 footballers
and 8 other sports
therefore, 2/8 or 1/4
The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm
Answer:
B
Step-by-step explanation:
It's needing to be doubled in size. That should be it hope it helps
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
convert 2.5 tons into pounds
Answer:
5000 pounds
Step-by-step explanation:
2.5 x 2000 pounds in a ton
5000 pounds
Simplify each expression
-4 + 7 (1-3m)
Answer:
3 - 21m
Step-by-step explanation:
-4 + 7(1-3m)
-4 + 7 - 21m
3 - 21m
The only time the word 'incorrectly' isn't spelled incorrectly is when it's spelled incorrectly. (⊙_ ⊙)
ahaha good one
Step-by-step explanation:
...........
What is the perimeter of triangle PQR.
5 units
10 units
√5+3 √2units
2 √5 + √10 units
Answer:
Opps i am really sorry i donot know it
Answer:
Step-by-step explanation:
It's 5 units
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
Which function is the inverse of F(x) = b^x?
HELP FAST
Answer:I also think answer is 3
Step-by-step explanation:
Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5
Given:
The polynomial is:
[tex]4p^3+2p^2+19p-5[/tex]
To find:
The degree and number of terms.
Solution:
Degree of a polynomial: It is the highest power of the variable.
Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".
We have,
[tex]4p^3+2p^2+19p-5[/tex]
In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.
The given polynomial can be written as:
[tex]4p^3+2p^2+19p+(-5)[/tex]
So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].
Therefore, the degree of the given polynomial is 3 and the number of terms is 4.
The classification by degree and number of terms of degree 3 and 4 terms
Degree of polynomialGiven the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.
The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3Also, the given polynomial contains 4 terms.
In conclusion, the classification by degree and number of terms of degree 3 and 4 terms
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The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.
Answer:
9005.90 m
Step-by-step explanation:
The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by
S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:
240° × (2pi/360°) = 4.19 radians
Therefore, the distance traveled by the atoms is so equal to the arc length S so
S = (2150 m)×(4.19 rad) = 9005.90 m
The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.
Compare the box plots for two data sets.
Which statement is true?
-
Set A
Set A
TI
Set B
20
22
24 26 28
30
32 34
36
38 40
The range for Set B is greater than the range for
Set A
The median for Set A is greater than the median
for Set B.
The ranges for both sets are equal
The medians for both sets are equal.
Answer:
The median for Set A is greater than the median
for Set B.
Step-by-step explanation:
From the boxplot attached, we can deduce the following :
Median (vertical line in between the box on a boxplot).
Median, set A = 30
Median, set B = 29
Range = (Maximum - Minimum. Value)
Set A :
Maximum = 35 ; Minimum = 21
Range = 35 - 21 = 14
Set B :
Maximum = 37 ; Minimum = 24
Range = 37 - 34 = 3
Hence, from the options, the only correct statement is The median for Set A is greater than the median for Set B.
One experiment had 10 players spinning, another experiment had 100 players spinning. Which experiment is more likely to come closer to matching its theoretical probability.
Answer: Experiment with 100 players sprinting
Step-by-step explanation:
When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.
A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.
What is the measure of angle L? Round to the nearest hundreth.
Help please!!
Answer:
60.57
Step-by-step explanation:
The angle L can be found using the inverse sine function.
L=arcsin(opp/hyp )
L=arcsin(2.7/3.1)
L =60.57129282
I need some help what is 1000 x 3.67 and with explaining thank you so much
Answer:
3670
Step-by-step explanation:
In 1000, there are 3 zeroes
So when multiplying by 3.67(or 3.670), you just move the decimal 3 places to the right
3.670 =36.70 = 367.0 = 3670.
If my answer is incorrect, pls correct me!
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-Chetan K
Solve -17 = for x. x =
Answer:
-17
Step-by-step explanation:
algebra 1
what's the simplified form of (3s^2-2s+1)/(s^2-s+2)
Answer:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
STEP
2
:
3s2 - 2s + 1
Simplify ————————————
s2 - s + 2
Trying to factor by splitting the middle term
2.1 Factoring 3s2 - 2s + 1
The first term is, 3s2 its coefficient is 3 .
The middle term is, -2s its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 3 • 1 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place radius is 4cm
(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
what is the soultons from least to greatest (x+6)(-x+1)=0
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
How many more 10th graders than 9th graders were interviewed?
A 36
B 80
C 12
D 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
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Ciana Thomas drove her car 11,500 miles last year. Her fixed costs totaled $1,214 and her variable costs totaled $2,450. What was her cost per mile?
Answer:
11502
Step-by-step explanation: