Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 142, \sigma = 32[/tex].
Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:
X = 174:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{174 - 142}{32}[/tex]
Z = 1
Z = 1 has a p-value of 0.841.
X = 78:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 142}{32}[/tex]
Z = -2
Z = -2 has a p-value of 0.023.
0.841 - 0.023 = 0.818 = 81.8%.
81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.
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Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Need help Bad
Answer:
D) 5 inchesStep-by-step explanation:
GivenA box with the volume of 150 in³
Dimensions of the box are
2, x and x + 10, where x- width, (x + 10) - lengthThe volume of the box is
V = lwhSubstitute the values and solve the equation for x
x(x + 10)*12 = 150x(x + 10) = 75x² + 10x - 75 = 0x² - 5x + 15x - 75 = 0x(x - 5) + 15(x - 5) = 0(x - 5)(x + 15) = 0x - 5 = 0 or x + 15 = 0x = 5 or x = - 15 (discarded as negative value)The width of the box is 5 in
Correct choice is DTwo whole number, three over five of the pupils in a school are boys. If there are 96 girls and the school,how many pupils are there in the school?
Answer:
106 students
Step-by-step explanation:
If you take the 2 3/5 and covert it into a whole number by: 2×3+5 = 10
and then you have 96 girls so you add the whole number you got that is 10 and the 96 girls
=96+10= 106 students
⋆ ˚｡⋆୨୧˚hope this helped˚୨୧⋆｡˚ ⋆
A bag contains 5 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red
Answer:
15
----
153
15=6+3+1
153=18×17÷2
Write the converse of the following statements:
1. If two angles are both obtuse, the two angles are equal.
2. If 3 - 2x = 13, then x = -5.
3. If 2 angles are supplementary, then they are not equal.
For the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
What is the converse of a statement?A conditional statement with the antecedent and effect reversed is known as a converse statement.
We have statement:
1. If two angles are both obtuse, the two angles are equal.
Converse: The two angles are equal if the two angles are both obtuse.
2. If 3 - 2x = 13, then x = -5.
Converse: x = -5 if the equation is 3 - 2x = 13
3. If 2 angles are supplementary, then they are not equal.
Converse: Two angles are not equal if 2 angles are supplementary.
Thus, for the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
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What is the complete factorization of x2 4x − 45? a. (x 15)(x − 3) b. (x − 9)(x 5) c. (x 9)(x − 5) d. (x − 15)(x 3)
The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
How to determine the complete factorization?The expression is given as:
x² + 4x - 45
Expand the equation
x² + 4x - 45 = x² + 9x - 5x - 45
Factorize the expression
x² + 4x - 45 = x(x + 9) - 5(x + 9)
Factor out x + 9
x² + 4x - 45 = (x - 5)(x + 9)
Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
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Answer:
Factor x2+4x−45 using the AC method. (x+9) (x−5)
Step-by-step explanation: so B
Which expression has a value of 20? 9 + 21 ÷ (3 + 2 × 5) (9 + 21) ÷ 3 + 2 × 5 9 + (21 ÷ 3 + 2) × 5 9 + 21 ÷ (3 + 2) × 5
Answer:
i don't now the answer so can you be more specific so i can help you
Step-by-step explanation:
Maybe this helps :}}}}}
Which of the following correctly uses the Pythagorean Theorem to find the missing side ?
A. 8² + (10)² = 2²
B. X + 8=10
C. x² +8² = (10)²
D. x² + (10)² = 8²
Answer:
C
Step-by-step explanation:
hyp² = opp² + adj²
10² = 8² + x²
Evaluate 1/4 c + 3d when c = 6 and d = 7
Answer:
SolutioN :
Just plug in the values of c & d in the given expression and calculate :[tex] \longrightarrow \bf \: \frac{1}{4} \times 6 + 3 \times 7[/tex]
[tex] \longrightarrow \boxed{\bf{ \frac{45}{2} }}[/tex]
Our final answer is 45/2 .--------------HappY LearninG <3 -------
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Evaluate 1/4c+3d when c=6, and d=7.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
Replace c with 6, and d with 7:-
[tex]\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4} +21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}[/tex]
[tex]\bigstar[/tex] Adding the numerators,
[tex]\Large\text{$\displaystyle\frac{90}{4}$}[/tex]
[tex]\bigstar[/tex] Finally, Reducing the fraction:-
[tex]\Large\text{$\displaystyle\frac{45}{2}$}[/tex]
[tex]\Uparrow[/tex] [tex]\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}[/tex]
Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
Consider the graph of the functions f (x) and g (x)
Whats the solution to the equation f (x) = g (x)
A. x=3
B. x=4
C.x=5
D. x-6
Answer:
(5,4)
Step-by-step explanation:
What is the solution of two function?
The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.
How do identify the solution via graph.
We can identify the solution of a system of equations via graph by looking at where the two functions intersect.
Identifying the solution.
Looking at the graph, the two lines intersect at (5,4)
The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)
The rule is
If two lines are graphed then their solution is their intersection point .
Here both f(x) and g(x) are intersecting at
(5,4)So (5,4) is solution
Option C is correct
Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house. how long does it take jasmin to rake leaves at the second house.
The Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house.
From the problem:
[tex]= \rm 2\dfrac{1}{3}\times \dfrac{1}{2}[/tex]
[tex]= \rm \dfrac{7}{3}\times \dfrac{1}{2}[/tex]
[tex]= \rm \dfrac{7}{6}[/tex]
[tex]= \rm 1\dfrac{1}{6}[/tex]
Thus, the Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.
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what is a foot plus 9 feet plus 20 feet equal too
Answer:
30 ft.
Step-by-step explanation:
1 + 9 + 20
= 30.
Answer: 30
Step-by-step explanation:
1. Simplify 1+9 to 10
10+20
2. Simplify
30
Done! Hope this helps.
solve the simultaneous equation
5x + 2 Y = 8
and
X + y = 1
I need help
Answer:
5x+2y=8
2x+2y=2
subtract both eq.
3x-0y=6
3x=6
x=2
x+y=1
2+y=1
y= -1
The circumference of a circle is approximately 43.96 centimeters. what is the radius of the circle? use 3.14 for radius.
Answer:
7 cm
Step-by-step explanation:
The circumference of a circle is given in terms of its radius by the formula ...
C = 2πr . . . . where r represents the radius
__
Using the given values in the formula, we can find the radius to be ...
C/(2π) = r
43.96/(2×3.14) = r = 7 . . . . cm
The radius of the circle is 7 cm.
A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stio, what is the probability they will wait for no more than 20 minutes?
Answer:
≈ [tex]44.4%[/tex][tex]%[/tex]%
Step-by-step explanation:
The person will wait for no more than 20 minutes if they arrive when the bus is going to stop in 20 minutes, which means that they must arrive 25 minutes after the previous bus stops. So the probability that the person will not wait for more than 20 minutes will be [tex]\frac{20}{45}[/tex] which is about 44.4%.
Mala walks her dog 3 times a day.
Each walk 3/4 ismile
Which expression tells how many miles Mala walks her dog each day?
Answer:
3/4 x 3 (top right)
Step-by-step explanation:
one you selected is incorrect
Li has to read four books from a list of 10 books. how many sets of four books can be made?
Answer:
2 sets
Step-by-step explanation:
we have to divide 4 into 10...
so 10 books / 4 groups equals 2 with a remainder of 2. each set needs to have exactly 4 books... so there would be 2 sets.
Answer:
its 7 not 2
Step-by-step explanation:
because
im right
Fine the length of the third side. If necessary, write in simplest radical form
Answer:
7.2
Step-by-step explanation:
(6)^2 + (4)^2
36 + 16
52
square root of 52 = 7.2
Question 3
A theatre group sold 4830 tickets for their show
This was 15% more than they sold last year.
How many tickets did they sell last year?
Answer: 4105.5
Step-by-step explanation:
The number of tickets sold in the previous year is 3723.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the theater group sold 4380 tickets and which was 15% more than the tickets sold the previous year.
Therefore, the tickets sold in the previous year is:
4380 - 15% of 4380
= 4380 - 15×4380/100
= 4380 - 657
= 3723
Hence, the number of tickets sold in the previous year is 3723.
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Last semester 150 out of thwhat is the 800 student at jungle junior high made the honor roll
what percent of the students made the honor roll
Answer:
Your sentence got cut out or sum.
Step-by-step explanation:
I'm assuming it's asking: What is 150 out of 800?
If so:
150/800 --> 3/16
3/16 --> Percent Form: 18.75%
Final Answer: 18.75%
Points P(-10,10) and Q(6,-2) give the diameter of a circle.
Determine the equation of the circle in standard form
The equation of the given circle with points P(-10,10) and Q(6,-2) gives the diameter of a circle will be (x-2)² +(y-4)² = 100.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circle objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given that diameter of the circle is bounded by points P(-10,10) and Q(6,-2).
Centre coordinate = midpoint of P(-10,10) and Q(6,-2).
Midpoint of P(-10,10) and Q(6,-2)
[(-10 + 6)/2 , (10-2)/2 ] = (-2,4 )
Diameter of circle = length between P(-10,10) and Q(6,-2).
lenth between P(-10,10) and Q(6,-2) = 10 units can be calculated by length formula.
The equation of a circle with a center (-2,4 ) and diameter of 10 is given by
(x-2)² +(y-4)² = 10² hence it will be correct.
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If the diameter of a circle is 14 cm then find its 22 circumference.
Answer:
44cm
Step-by-step explanation:
Since, diameter d=14cm
C=πd= 22/7 ×14= 44cm
someone pls help it is due on monday and thank you
The next model of a sports car will cost more than the current model. The current model costs . How much will the price increase in dollars? What will be the price of the next model?
Increase in price:
Price of next model:
Answer:
Step-by-step explanation:
1. Given that $53000 represents 100% of the original cost. You know that 6.9% as a percentage is equivalent to 0.069 as a decimal.
Increase in price:
= 53000 * 0.069
= $3657
2. The question states that the price of the car model is increasing, so you must add the original cost to the increase in price.
Price of next model:
= 53000 + 3657
= $56657
Please show me how you got this answer [tex]\sqrt{18a^2}*4\sqrt{3a^2}[/tex]
Answer:
Step-by-step explanation:
Comment
18 factors into 2 * 3 * 3
Both factors have an a^2 under the root sign. The rule for that is take 1 a outside the root sign and throw the other one away.
The same rule applies to the two 3s that factor 18.
What you get is
3a√2 * 4*a*√3
Answer 12a^2 √2 * √3
Answer: 12a^2 * √6
You must really like math to want to answer this ngl
Answer:
a) 2/10
b) 3/20
c) option 2
Step-by-step explanation:
help me please!!! i cant do these
Answer:
sec(B)=b. ab/bc
sin(B)=c. ac/ab
csc(B)=f. ab/ac
cot(B)=a. bc/ac
tan(B)=e. ac/bc
cos(B)=d. bc/ab
Step-by-step explanation:
SOHCAHTOA
Sine=Opposite/Hypotenuse
Cosine=Adjacent/Hypotenuse
Tangent=Opposite/Adjacent
SHACHOCotAO
Secant=Hypotenuse/Adjacent
Cosecant=Hypotenuse/Opposite
Cotangent=Adjacent/Opposite
The sum of two integers is 9 and their product is 18. What are the integers?
Answer:
The integers are 2.
Step-by-step explanation:
Answer: 3 and 6
Step-by-step explanation:
3+6=9
3x6=18
How to simplify the ratio of 40cm : 2m
substitution. y = x − 35 y=-4x
Answer:
(7, - 28 )
Step-by-step explanation:
y = x - 35 → (1)
y = - 4x → (2)
substitute y = x - 35 into (2)
x - 35 = - 4x ( add 4x to both sides )\
5x - 35 = 0 ( add 35 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
substitute x = 7 into either of the 2 equations
substituting into (1)
y = 7 - 35 = - 28
solution is (7, - 28 )
The area of a rectangle is 20. The length is 5, and the width is the √x. What is the value of x? What is the width of the rectangle?
A. The value of x is 4. The width is 16.
B. The value of x is 16. The width is 4 or –4.
C. The value of x is 4. The width is 2.
D. The value of x is 16. The width is 4.
Answer:
D
Step-by-step explanation:
5([tex]\sqrt{x}[/tex]) = 20 Divide by 5
[tex]\sqrt{x}[/tex] = 4 Square both sides
x = 16
Widths can't be negative
Answer: D
Step-by-step explanation:
A = LW
[tex]\sqrt{x}[/tex] * 5 = 20
[tex](\sqrt{x} * 5)^{2} = 20^{2}[/tex] (square both sides)
x * 25 = 400
25x = 400
[tex]\frac{25x}{25} = \frac{400}{25}[/tex] (divide both sides by 25)
x = 16
[tex]\sqrt{16} = 4[/tex]
x = 16, and the width is 4.
A paper plate has a diameter of 9 inches. What measure is closest to the area of the plate?
Answer:
63.62 inches squared
Step-by-step explanation:
The formula for the area of a circle is πr^2
r (Radius) is half of the diameter
r = 9/2
r = 4.5in
π x 4.5^2=
π x 20.25 = 63.6172512352
to 2 dp: 63.62 inches squared.
Answer:
The area of a plate with a diameter of 9 is 63.585
Step-by-step explanation:
A = πr² use 3.14 as pi
r = [tex]\frac{1}{2}[/tex] d
[tex]\frac{1}{2}[/tex] × 9 = 4.5
r = 4.5
A = 3.14 × 4.5²
A = 3.14 × 20.25
A = 63.585
Hope this helps!