A straw is placed inside a rectangular box that is 3 inches by 5 inches by 1 inches, as
shown. If the straw fits exactly into the box diagonally from the bottom left corner to
the top right back corner, how long is the straw? Leave your answer in simplest
radical form.
The length of the straw will be 5.91607 inches long in radical form.
What is Length of diagonal in cuboid?If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula
[tex]X^{2}= l^{2}+b^{2}+h^{2}[/tex]
As per the question the length of the straw is equal to length of the diagonal of Rectangular box.
l= 3 inch , b= 5 inch , h= 1 inch
Let us consider the length of the straw be 'x'.
As, Diagonal of Cuboid is,
[tex]X^{2}= l^{2}+b^{2}+h^{2}[/tex]
[tex]X^{2}= 3^{2}+5^{2}+1^{2}\\X^{2}= 9+25+1\\X^{2}= 35\\X= \sqrt{35}[/tex]
X= 5.91607 (in radical form)
Hence, the length of the straw will be 5.91607 inches.
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A computer generates 80 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred 23 7 9 10 8 6 8 9
What is the experimental probability of the computer generating a 5 or a 6?
9%
13.75%
17.5%
30%
Answer:
17.5%
Step-by-step explanation:
I took the test and got it right
Answer:
THE ANSWER IS C) "17.5%"
Para estudiantes de Español:
LA RESPUESTA ES C) "17.5%"
Step-by-step explanation:
PICK C)!
ELIJA C)!
What is DNA?
Pls help I’ll mark brainliest
Answer: The hereditary substance in humans and virtually all other animals is DNA, or deoxyribonucleic acid. The DNA of nearly every cell in a person's body is identical.
Step-by-step explanation:
Answer:
Deoxyribonucleic acid
Step-by-step explanation:
DNA stands for Deoxyribonucleic acid, and it's a polymer composed of two polynucleotide chains, coilling around each
The following sequence is an arithmetic sequence. [-9, -2, 5, 12,...]
Find the common difference and the next two terms.
Answer: The common difference is 7, and the next two terms are 19 and 26.
Step-by-step explanation:
Between -9 and -2 there is +7, same with between -2 and 5, as well as 5 and 12. Adding 7 to 12 again gets 19, and adding 7 to 19 gets 26 as well for the next two terms.
a man with a mass of 78k takes a seat on a bench in new york, how much force is on the bench?
Answer:
78*10 = 780N
Step-by-step explanation:
So simply, the weight of the man is asked
So to find it we must multiply the mass of the man which is 78 kg according to this by the gravitational acceleration which is usually taken as 10 meters per square second.
Answer:
764.4 N
Step-by-step explanation:
Given :
mass = 78 kgSolving :
Force = mass x accelerationForce = 78 x 9.8Force = 764.4 NA linear function has f(1) = -1 and f(4) = 5. find its equation f(x)
Solve for x.
Your answer must be simplified.
PLS HELP ASAP
Select the correct answer.
The parent function f(x)= 3T is transformed to g(x) = 2^x - 3). Which is the graph of g(x)?
Can someone please help me?
I'd like 25% of my order to be 3 Monste
cupcakes, and the rest Tropical.
x2 + 6x + y2 + 6y + 2 = 0
you need to make 6000g of potato cakes. the ratio of potato, cheese and onion is 9:2:1. per every 175g of cheese = £2.25. how much will all of the cheese cost?
Let
potato be 9x,cheese be 2x and onion be x
9x+2x+x=600012x=6000x=500Cheese
2(500)1000gTotal 175gs
100/1755.714Total cost
5.714(2.25)£12.85Answer:
£12.86 (nearest pence)
Step-by-step explanation:
Given ratio:
potato : cheese : onion = 9 : 2 : 1Sum the ratios:
⇒ 9 + 2 + 1 = 12
Divide the total weight by the sum of the ratios:
⇒ 6000 g ÷ 12 = 500
Multiply each ratio by 500 to find the amount of each ingredient needed to make 6000 g of potato cakes:
⇒ potato = 9 × 500 = 4500 g
⇒ cheese = 2 × 500 = 1000 g
⇒ onion = 1 × 500 = 500 g
If 175 g of cheese costs £2.25, then 1000 g of cheese costs:
⇒ (2.25 / 175) × 1000 = £12.86 (nearest pence)
Find the rational root of the following :2x^5-3x^3-20x=0
Answer:
x=0 or x=-2 or x=2
Step-by-step explanation:
Check attached image below
HELP!!!
Given the relation: {(1,2),(2,3),(-1,3),(2,5)}
Determine what two points cause the relation to not be a function? Explain why these points cause the relation to not be a function.
Answer: (2,3) and (2,5) cause the relation to not be a function
Explanation:
The input x = 2 leads to y = 3 and y = 5 at the same time for both points. A function is where any input x leads to exactly one y output only. So we'd need to get rid of one of those mentioned points to be able to have a function.
If you graphed the points on the same xy grid, then you'd see (2,3) and (2,5) vertically aligned. These two points cause the vertical line test to fail. This will give a visual indication we do not have a function.
Put another way, if x repeats itself then we don't have a function. The y value is allowed to repeat. So we could have something like (1,2) and (5,2) be part of a function.
helpppppppppppppppppppppp
Answer:
a. -3
b. +100
Step-by-step explanation:
descreased is subtracting which would be a -3
deposited means added which would be a +100
HELPPPP MEEEEE!!!!!!!
Answer:
Rounded:
596.05
OR
596.046
Raw:
596.046447754
Step-by-step explanation:
Solved with sci calculator
(need answers asap!)
An earthworm farmer set up several containers of a certain species of earthworms so that he could learn about their lengths. The lengths of the earthworms provide information about their ages. The farmer measured the lengths of 25 earthworms in one of the containers. Each length was measured in millimeters.
Here are the lengths, in millimeters, of the 25 earthworms.
6 11 18 19 20 23 23 25 25 26 27 27 28
29 32 33 41 42 48 52 54 59 60 77 93
Complete the table for the lengths of the 25 earthworms.
The frequency table for the lengths of the 25 earthworms is shown in the image attached below.
What is a frequency table?A frequency table is a type of table that is used to graphically represent the frequencies or relative frequencies associated with a categorical variable.
In this exercise, you're required to complete the frequency table for the lengths of the 25 earthworms as follows:
0 mm to 19 mm = 6, 11, 18, and 19. ⇒ Frequency = 4.20 mm to 39 mm = 20, 23, 23, 25, 25, 26, 27, 27, 28, 29, 32, and 33. ⇒ Frequency = 12.40 mm to 59 mm = 41, 42, 48, 52, 54, and 59. ⇒ Frequency = 6.60 mm to 79 mm = 60 and 77. ⇒ Frequency = 2.80 mm to 99 mm = 93. ⇒ Frequency = 1.In conclusion, the frequency table for the lengths of the 25 earthworms is shown in the image attached below.
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What does x=
And what is the angle
Answer:
70*
Step-by-step explanation:
Answer:
it would be 70 because the angles need to equal 360 degrees and the top of each I 138 so is the bottom so the sides will be 70
A certain machine is to contain two wheels, one of radius 2 inches and one of radius 8 inches. The
manufacturer of this machine needs to produce a belt that will fit snugly around the two wheels,
as shown in the diagram below. How long should the belt be?
Answer:
62.83 in
Step-by-step explanation:
C is circumference
r is the radius
We sum up both, given first one radius is 2 and second one radius is 8, so we have:
The length of the belt should be around 62.83 in
From the observation deck of a skyscraper, Brandon measures a 45^{\circ} ∘ angle of depression to a ship in the harbor below. If the observation deck is 1140 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
The horizontal distance from the base of the skyscraper out to the ship will be 1140 feet.
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
The angle is = 45The height of the skyscraper is 1140 feet.The horizontal distance will be calculated by applying the angle property in the right angle triangle.
tan45 = ( P / B )
B = P / tan45
B = P Since ( tan45 =1 )
B = 1140 feet.
Therefore the horizontal distance from the base of the skyscraper out to the ship will be 1140 feet.
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please help me with this assignment
Answer:
18
Step-by-step explanation:
area = length of one side² for a square
324 square feet = length of one side²
square root both sides to isolate the length of the side
√(324 square feet)= the length of the side = 18 feet
David is a statistician. he has a sample size of 40 (which he cannot change). what element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis? the mean of the population the mean of the sample the standard deviation of the population the significance level of the test
To minimize the probability that he incorrectly rejects the null hypothesis, David must change the (d) the significance level of the test
How to determine the true statement?The sample size is given as:
n = 40
From the question, we understand that the sample size cannot be changed
This means that the standard deviation, and the mean cannot be altered too.
Since the value of the significance level is not constant, David can decide to adjust the significance level.
Hence, David must change the (d) the significance level of the test
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Answer:
d. the significance level of the test
Step-by-step explanation:
edge
How many different quantum states are possible if the principal quantum number is n = 4?
The possible quantum numbers for the value of n=4 will be i=0,1,2,3.
What is quantum number?
The number of elements in a quantum is the count of 0 to n - 1 where n is the principal quantum number. There are 4 different values of i in quantum number n =4.
Given that:
[tex]n=4[/tex] -- quantum number
To count the quantum numbers (i), we make use of the following set:
[tex]i=[0,1,2,3............n-1][/tex]
The value of n is: [tex]n=4[/tex]
So, the set will be populated as follows
[tex]i=(0,1,2,3)[/tex]
The number of elements in the set is 4.
This means that there are 4 different values of i
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Which statement is true?
The value of 8,590 − 4,586 is half the value of 2 x (8,590 − 4,586).
The value of 2,674 x 5,480 + 5 is 5 times the value of 2,674 + 5,480.
The value of 6,432 x (1,860 − 6) is 6 less than the value of 6,432 x 1,860.
The value of 2,876 x (9,280 + 8) is 8 more than the value of 2,876 x 9,280.
Answer:
answer is option A
Step-by-step explanation:
8,590 − 4,586 = 4,0042 x (8,590 − 4,586) is 8,008Sure hope this helps uou :)
Find the sum of the infinite series below.
URGENT!!!!!!!!!!!!!!!!
The population of lizards on one island is 4.05 million, and the population of lizards on another island is 2.1 million. What is the difference in the population of lizards on two islands
Step-by-step explanation:
the difference found is 4049997.9
Answer:
hi
Step-by-step explanation:
Help ASAP! Will give brainliest
Answer:
10 units
Step-by-step explanation:
General equation of an ellipse
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1 \quad \textsf{where }(h \pm a,k)\: \textsf{and}\:(h, k \pm b)\: \textsf{are the vertices}[/tex]
Major Axis: longest diameter of an ellipse
Minor Axis: shortest diameter of an ellipse
Major radius: one half of the major axis
Minor radius: one half of the minor axis
If a > b the ellipse is horizontal, a is the major radius, and b is the minor radius.
If b > a the ellipse is vertical and b is the major radius, and a is the minor radius.
Given equation:
[tex]\dfrac{(y-4)^2}{25}+\dfrac{x^2}{9}=1[/tex]
[tex]\implies \dfrac{x^2}{9}+\dfrac{(y-4)^2}{25}=1[/tex]
Comparing with the general equation:
h = 0a² = 9 ⇒ a = 3k = 4b² = 25 ⇒ b = 5As b > a then the ellipse is vertical and b is the major radius.
⇒ Major axis = 2 × Major Radius
= 2b
= 2 × 5
= 10
Also, the vertices are:
(3, 4) and (-3 ,4)(0, 9) and (0, -1)Work out the length of x
Give your answer rounded to 1 decimal place.
(diagram not drawn accurately
Answer:
7.3 cm
Explanation:
Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²
Insert values:
x² + 8.9² = 11.5²
x² + 79.21 = 132.25
x² = 132.25 - 79.21 (subtract)
x² = 53.04
x = √53.04 (square root)
x = 7.28285 ≈ 7.3 (rounded to 1 decimal place)
11.5 cm
8.9 cm
to find:the unknown value "x"
solution:we'll have to use pythagoras theorem.
unknown value is x
[tex] {c}^{2} = {b}^{2} - {a}^{2} [/tex]
[tex] {x}^{2} = {11.5 }^{2} - {8.9}^{2} [/tex]
[tex] {x}^{2} = 53.04[/tex]
[tex]x = \sqrt{53.04} [/tex]
[tex]x = 7.282856582[/tex]
[tex]x = 7.3 \: cm[/tex]
A bag contains cards numbered from 10 to 100. Why are the events "choosing an odd number" and "choosing an even number" mutually exclusive?
A) a number is neither even nor odd
B) they are dependent
C) they are independent
D) a number is either even or odd
The reason why the events "choosing an odd number" and "choosing an even number" are mutually exclusive is; Choice D; a number is either even or odd.
What are Mutually exclusive events in probability?It follows from probability theory, that two events are characterized as mutually exclusive if they cannot both occur at the same time. A very good example is the set of outcomes of a single die roll, which can result in any of the 6 outcomes.
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In an experiment, 16 babies were asked to watch a climber attempt to ascend a hill. On two occasions, the baby witnesses the climber fail to make the climb. Then, the baby
witnesses either a helper toy push the climber up the hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random
fashion. A second part of this experiment showed the climber approach the helper toy, which is not a surprising action, and then the climber approached the hinderer toy,
which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer
toy versus watching the climber approach the helper toy was 1.22 seconds with a standard deviation of 1.58 seconds. Complete parts a through c.
The test statistic based on the information will be 2.74 and the degree of freedom is 15.
How to calculate the test statistic?From the information given, the test statistic will be:
= 1.71/(1.71/✓16)
= 2.74
The degree of freedom will be:
= n - 1
= 16 - 1
= 15
In conclusion, there's no sufficient evidence to show that babies have the ability to assess surprising behavior.
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