Approximately 95.44% of people take between 123 and 171 minutes to read the book.
To find the percentage of people who take between 123 and 171 minutes to read the book, we'll use the properties of the normal distribution.
First, we need to find the z-scores for both 123 and 171 minutes using the formula:
[tex]\[ z = \frac{{X - \mu}}{{\sigma}} \][/tex]
Where:
-[tex]\( X \)[/tex] is the value (in minutes),
-[tex]\( \mu \)[/tex] is the mean (147 minutes),
- [tex]\( \sigma \)[/tex] is the standard deviation (12 minutes).
For 123 minutes:
[tex]\[ z_1 = \frac{{123 - 147}}{{12}} = -2 \][/tex]
For 171 minutes:
[tex]\[ z_2 = \frac{{171 - 147}}{{12}} = 2 \][/tex]
Now, we'll use a standard normal distribution table or calculator to find the percentage of values between these z-scores. For a standard normal distribution, approximately 95.44% of the data falls within ±2 standard deviations from the mean.
So, to find the percentage of people who take between 123 and 171 minutes, we subtract the percentage outside this range from 100%:
[tex]\[ \% = 100 - (100 - 95.44) = 95.44\% \][/tex]
Approximately 95.44% of people take between 123 and 171 minutes to read the book.
the height of both oblique and right prisms is ALWAYS
A) the perpendicular distance between the bases
B) the length of a lateral edge
C) longer than the altitude of the prism
D) drawn vertically
Answer:
Option A is correct.
The height of both oblique and right prisms is ALWAYS the perpendicular distance between the bases.
Step-by-step explanation:
Prisms are 3-D shapes that have two parallel faces (called bases) separated at some distance apart (the height of the prism) with the lateral face in between the two parallel bases.
For right prisms, the lateral face is a rectangle while it is a parallelogram for oblique prisms.
The height of a prism is the perpendicular distance between the two bases. In a right prism, the height is a lateral edge as this edge is equal to the perpendicular distance between the two bases.
In the case of the oblique prism, the height is the shortest line segment between the extended bases, the perpendicular distance between the two bases.
So, the height isn't always a length of a lateral edge, isn't always longer than the altitude of the prism and isn't always drawn vertically as the prism sometimes is pictured not resting on its bases, leading to the height drawn horizontally.
So, only option A is totally correct.
Hope this Helps!!!
30 square root the nearest tenth
Answer:
Step 1: Calculate
We calculate the square root of 30 to be:
√30 = 5.47722557505166
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
5.47
Step 3: Round
Round 5.47 so you only have one digit after the decimal point to get the answer:
5.5
To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.
Answer:
I think its 5.5
Step-by-step explanation:
Mike claims that (2^3)^5= 2^15. Sarah claims that (2^3)^5= 2^8. Who is correct? Explain your reasoning.
Mike is correct, because the rules for powers and exponentiation say that when you elevate a certain base which is already being elevated to a certain power, the powers multiply.
This means that:
[tex] {( {a}^{b} )}^{c} = {a}^{bc} [/tex]
Or, using your example:
[tex] {( {2}^{3} )}^{5} = {2}^{3 \times 5 } = {2}^{15} [/tex]
To find the average or mean of a set of numbers, add up all the items and divide by…?
Answer: divide it by the number of numbers you added up.
Step-by-step explanation:
For example, let's say you had to find the average of 1, 2, and 3. You add all the numbers up to get 6. Since you had to add 3 numbers together (1, 2, 3) to get 6, you divide 6 by 3 to get the mean/average, which in this case, is 2
To find the average or mean of a set of numbers, add up all the items and divide by how many numbers there are.
How do you find the average set of numbers that add up all the items and divide by?The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.
How do you find the mean in a set of numbers?The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores.
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We feed the okapi about 5,024 cubic centimeters of pellets and hay each day. How many times a day would we have to fill the container shown below
Answer:
Step-by-step explanation:
10 * 4 = 40 times
It’s 5024 Divide by 314 which equals 16 you got it wrong but good try
Step-by-step explanation:
Brainliest answer
Jack has 2 apples he gives one away to his sister how much apples does jack have left.
Answer:
1
Step-by-step explanation:
Answer:
1 apple
Step-by-step explanation:
2 - 1 = 1 <3
morgan has $28.75 on a gift card. she buys seven cups of coffee and has $20 left write and solve an equation to determine the cost of one cup of coffee.
Step-by-step explanation:
28.75-20=8.75
8.75/7= 1.25
each cup costs $1.25
Is 237.5 less than or greater than 2 8/24
Alright!
In order to properly compare these numbers, they need to look the same!
Lets change 2 8/24 into a decimal.
To do this, we need to convert it into an improper fraction
Follow these steps:
[tex]2 \frac{8}{24} \\[/tex]
We multiply the whole number (2) by the denominator (24) and then add the numerator (8). The improper fraction will keep the same denominator (24) at the end.
2 × 24 = 48
48 + 8 = 56
[tex]\frac{56}{24}[/tex]
Now, lets use a calculator to see what 56/24 is!
56 ÷ 24 = 2.33
237.5 is GREATER than [tex]2 \frac{8}{24} \\[/tex]
Hope I helped! Comment if you have questions :)
Emily has a spinner that has 5 equal sections: red, blue, green, purple, and orange. She spins the spinner 150 times. About how many times should Emily expect the spinner to land on either purple or orange? *
20 points
2
20
40
60
Answer:
60
Step-by-step explanation:
Solve the equation 51 = x(3.50 + 5.50)
FOLLOW ME FOR CLEARING YOUR NEXT DOUBT
Determine the surface area of the triangular prism below
A. 2,001
B. 2,376
C. 2,592
D. 4,320
Answer:
2376 square feet
Step-by-step explanation:
40 x 15 = 600
40 x 24 = 960
1/2 x (24 x 9) = 108
600 + 600 + 960 + 108 + 108 = 2376
A survey of athletes at a high school is conducted, and the following facts are discovered: 68% of the athletes are football players, 26% are basketball players, and 23% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player
Answer:
71% probability that the athlete is either a football player or a basketball player
Step-by-step explanation:
We solve this problem building the Venn's diagram of these probabilities.
I am going to say that:
A is the probability that an athlete is a football player.
B is the probability that an athlete is a basketball players.
We have that:
[tex]A = a + (A \cap B)[/tex]
In which a is the probability that an athlete plays football but not basketball and [tex]A \cap B[/tex] is the probability that an athlete plays both these sports.
By the same logic, we have that:
[tex]B = b + (A \cap B)[/tex]
23% of the athletes play both football and basketball.
This means that [tex]A \cap B = 0.23[/tex]
26% are basketball players
This means that [tex]B = 0.26[/tex]. So
[tex]B = b + (A \cap B)[/tex]
[tex]0.26 = b + 0.23[/tex]
[tex]b = 0.03[/tex]
68% of the athletes are football players
This means that [tex]A = 0.68[/tex]. So
[tex]A = a + (A \cap B)[/tex]
[tex]0.68 = a + 0.23[/tex]
[tex]a = 0.45[/tex]
What is the probability that the athlete is either a football player or a basketball player
[tex]A \cup B = a + b + (A \cap B)[/tex]
[tex]A \cup B = 0.45 + 0.03 + 0.23 = 0.71[/tex]
71% probability that the athlete is either a football player or a basketball player
Answer:
71%
Step-by-step explanation:
Applying Venn's diagram
probabilty that an athlete plays either football or basketball
P ( A ∪ B ) = a + b + ( A ∩ B ) equation 1
note:
P ( A ) = a + ( A ∩ B )
( A ∩ B ) = 23% = 0.23
a = P( A ) - 0.23 = 0.68 - 0.23 = 0.45
P ( B ) = b + ( A ∩ B )
b = P ( B ) - ( A ∩ B ) = 0.26 - 0.23 = 0.03
back to equation 1
P ( A ∪ B ) = 0.45 + 0.03 +( 0.23 )
= 0.48 + ( 0.23 ) = 0.71 = 71%
P( A ) = probability of football players
P ( B ) = probability of basketball players
a = probability of playing football but not basketball
b = probabilty of playing basketball but not football
Simplify this equation p+p+3 = 13*
O 2+p+ 2 = 13
O 2p+ 3 = 13
O
2p = 10
Answer:
P=3 hope this helps! Sorry if I get it wrong. Hope I get brainliest! :D
Step-by-step explanation:
Simplifying
3p + -1 = 5(p + -1) + -2(7 + -2p)
-1 + 3p = 5(p + -1) + -2(7 + -2p)
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)
-1 + 3p = -5 + -14 + 5p + 4p
-5 + -14 = -19
-1 + 3p = -19 + 5p + 4p-1 + 3p = -19 + 9p
Solving
-1 + 3p = -19 + 9p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p
Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p
Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19
Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1
Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1
Combine like terms: -19 + 1 = -18
-6p = -18
Divide each side by '-6'.
p = 3
Simplifying
p = 3
What is the surface area of the square pyramid?
The surface area is ____ yd2.
Answer:
16
Step-by-step explanation:
Answer:
it is 16
Step-by-step explanation:
Which of the following phrases are equations?
Choose 2 answers:
© b = 9
© 7+ 19 = 26
© a +9 > 72
©
X
+Y-
Colo
Answer:
d
Step-by-step explanation:
The two phrases that are equations are 'b = 9' and '7 + 19 = 26' because both have an equals sign, indicating that two expressions are set equal to each other.
An equation is a mathematical statement that asserts the equality of two expressions, and it is characterized by the presence of an equals sign '='. From the given options, the two phrases that qualify as equations are b = 9 and 7 + 19 = 26. These both show a relationship where two expressions are set equal to each other.
The phrase a +9 > 72 is not an equation, but an inequality because it uses a greater than symbol '>' instead of an equals sign. The last option provided seems to be typos or irrelevant content and does not constitute an equation.
Find the value of x
46.
92.
78.
98.
Answer:
x = 92
Step-by-step explanation:
The segment of measure 46 joins the midpoints of 2 sides of the triangle and is one half the measure of the third side, thus
x = 2 × 46 = 92
To prove part of the triangle midsegment theorem using
the diagram, which statement must be shown?
O
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.
The statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL
What is the Midsegment Theorem?The Midsegment Theorem of a triangle states that the length of the midsegment (line segment joining two sides of a triangle) is half the length of the third side (the base) of the triangle.Midsegment = ½(third side/base)Given ΔJKL with a midsegment of GH as shown in the diagram attached below:
GH is the midsegment
KL is the base (third side)
Therefore, the statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL
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Five pumpkin pies sit in front of 12 hungry people. If they finish the pies, and each person eats the same amount find the unit rate in the pumpkin pie per person
Answer:
The rate is 0.42 pumpkin pies per person
Step-by-step explanation:
In this question, we are to calculate the amount of pie eaten per person.
This is a rate question.
We have 5 pies and 12 hungry people who ate the same amount of pies as the next person.
The unit rate which is pumpkin pie person is mathematically calculated by dividing the number of pumpkins pies by the number of persons
Mathematically that would be 5/12 = 0.42 pies per person approximately
Find the area of the semicircle. Round your answer to the nearest whole number.
Answer:
2513
Step-by-step explanation:
A=πr^2
A=π40^2
A=π x 1600
A=5026
5026÷2=2513
Answer:
its 628
Step-by-step explanation:
Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Larry, you've got two rolls of streamers in for a party hats for $11. How much did each role of streamers cost? How much did each party hat cost? Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Where, you bought two rolls of streamers and four party hats for $11. How much did each role of streamers cost? How much did each party hat cost?
Answer:
Each steamer costs $2.5 and each party hat costs $1.5
Step-by-step explanation:
Let the cost of 1 steamer =x
Let the cost of 1 party hat =y
Three rolls of streamers and 15 party hats cost $30
3x+15y=30Two rolls of streamers and four party hats for $11.
2x+4y=11We solve the two equations simultaneously.
Multiply equation 1 by 2 and equation 2 by 3
6x+30y=60
6x+12y=33
Suntract
18y=27
y=1.5
From 6x+30y=60
6x+30(1.5)=60
6x+45=60
6x=60-45=15
x=2.5
Since x=2.5 and y=1.5
Each steamer costs $2.5 and each party hat costs $1.5
Answer:
each role of streamers cost $2.5
each party hat cost $1.50
Step-by-step explanation:
Let 's' represent rolls of streamers and 'h' represent party hats
Lets form an equation first
=>For three rolls of streamers and 15 party hats cost $30.
3s + 15h = 30
s= (30-15h)/3 ----> eq(1)
=>For 2 rolls of streamers and 4 party hats cost $11.
2s + 4h = 11
s= (11 -4h)/2 ----> eq(2)
Lets equate eq 1 and 2 in order to find 'h'
(30-15h)/3= (11 -4h)/2 ---->(applying cross multiplication)
60 - 30h = 33 - 12h
60-33 = 30h -12h
27 = 18 h
h= 27/18 => 1.50
therefore, each party hat cost $1.50
substitute above value in eq 1
(1)=> s= (30-15h)/3
s= 30-(15 x 1.5) / 3
s= 2.5
Therefore, each role of streamers cost $2.5
I have to give the answer in by 8pm
Answer:
15
Step-by-step explanation:
TV = TU+UV
= 12 + 3
TV = 15
Find the height of the rectangular prism below if the volume is 334.8 meters cubed
Answer:
Step-by-step explanation:
Volume of rectangular prism = 334.8 cubic meter
length * width * height = 334.8
18 * 6 * height = 334.8
[tex]height= \frac{334.8}{6*18}\\[/tex]
= 3.1 m
Create a real-world problem involving three lengths that form a right triangle
Give the measurement of the “legs”, then solve for the missing hypotenuse
Answer:
Bob was looking for a shade sail that was big enough and wide to cover his hotube. The legs were 6 by 8 but he didnt know how long the hypotinuce was. So he use pythagorean theorm to sove fot the unknown side.
A^2 + B^2 = C^2 --> 6^2 + 8^2 = C^2 --> he square rooted the 6 and 8 and got (36 + 64 = c^2) 100 to get c he had to squar root that. He found out that the missing side was 10 inch long.
Step-by-step explanation:
The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height of 7 cm. An oblique rectangular prism has a length of 6 centimeters, a width of 8 centimeters, and a height of 7 centimeters. What is the area of the base of the prism?
Answer:
48 cm²
Step-by-step explanation:
They are only asking for the area of the base of the prism, which is the length of the prism times the width of the prism.
B = area of base
l = length = 6 cm
w = width = 8 cm
B = l * w
B = 6 cm * 8 cm
B = 48 cm²
The area of the base of the prism is 48 cm²
Answer:
48
and
336
I just did it
What is the standard deviation of the data? Round to the nearest whole number.
Answer:
Where's the data?
Step-by-step explanation:
INVESTING Maria invests $1000 in a savings account that pays 4% interest compounded annually. The value of the account A at the end of five years can be determined from the equation log10 A = log10[1000(1 + 0.04)5]. Write this equation in exponential form
Answer:
[tex]A=1000(1+0.04)^5[/tex]
Step-by-step explanation:
-The general expression of an exponential function is :
[tex]A=P(1+r)^n[/tex]
where:
[tex]A[/tex] is the amount after time t.[tex]P[/tex] is the initial amount[tex]r[/tex] is the rate of growth[tex]t[/tex] is the time.We substitute our parameter values in the equation as:
[tex]A=1000(1+0.04)^5[/tex]
Final answer:
To write the given equation in exponential form, raise the base value of 1000 to the power of (1 + 0.04)⁵.
Explanation:
To write the given equation in exponential form:
Start with the base value, in this case, 1000.
Raise the base to the power of the exponent, which is (1 + 0.04)⁵.
The exponential form would be 1000 * (1 + 0.04)⁵.
Tablet: $439, 40% off find the discount
Answer:
439 x 0.4 = 175.6 so the discount is 175.6
Step-by-step explanation:
40% is equal to 0.4 and you just multiply. If you want to find the discount price just subtract the discount off.
Hope this helps can I have brainliest
Final answer:
The discount on the tablet is $175.60.
Explanation:
To calculate the discount on the tablet which is 40% off the original price of $439, we need to use the formula:
Discount = Original Price × Discount Rate
Therefore:
Discount = $439 × 40%
First, convert 40% into a decimal, which is 0.40:
Discount = $439 × 0.40
Do the multiplication to find the discount:
Discount = $175.60
So, the discount is $175.60, and the tablet would then cost $439 - $175.60 = $263.40 after applying the discount.
A solid right pyramid has a square base. The length of the
base edge is 4 cm and the height of the pyramid is 3 cm.
What is the volume of the pyramid?
12 cm
16 cm
32 cm
48 cm
4 cm
Mark this and return
Savo and Exit
Next
Submit
Answer:
The volume of the pyramid is 16 cm³.
Step-by-step explanation:
The volume of squared-base pyramid is given by the formula:
[tex]V=A\times \frac{h}{3}[/tex]
Here,
V = volume of the squared-base pyramid
A = area of the square base
h = height of the pyramid.
The information provided is:
a = side of square = 4 cm
h = 3 cm
Compute the area of the square base as follows:
[tex]A=a^{2}\\=4^{2}\\=16\ \text{cm}^{2}[/tex]
Compute the volume of squared-base pyramid as follows:
[tex]V=A\times \frac{h}{3}[/tex]
[tex]=16\times \frac{3}{3}\\\\=16[/tex]
Thus, the volume of the pyramid is 16 cm³.
Determine whether the set of data shown below displays exponential behavior right yes or no explain why or why not. Please help
Answer:
yes
Step-by-step explanation:
you need to see the differences of the numbers
A canal is 10 miles long. It had a lock every 2/3 mile. How many locks are on the canal?
To find the number of locks on the canal, divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. Therefore, there are 15 locks on the canal.
Explanation:To find the number of locks on the canal, we need to divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. We can divide 10 by 2/3 to find the number of locks.
Using the rule of dividing by a fraction, we can rewrite the expression as 10 ÷ \(\frac{2}{3}\). This is equivalent to multiplying by the reciprocal of the fraction, so the expression becomes 10 × \(\frac{3}{2}\). Now we can multiply 10 by 3 and divide by 2 to get the answer.
10 × 3 = 30
30 ÷ 2 = 15
Therefore, there are 15 locks on the canal.
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