Answer:
23 tables were used that day at lunch.
Step-by-step explanation:
203 - 19 = 184
184 ÷ 8 = 23
This reduction was drawn at a scale of 1 inch scaled to 4 feet actual. What is the actual height of the giraffe?
Answer:
5 inches tall i think
Step-by-step explanation:
sorry if its wrong
An airline reports that it has been experiencing a 12% rate of no-shows on advanced reservations. Among 100 advanced reservations, find the probability that there will be fewer than 15 no-shows.Use the normal distribution to approximate the binomial distribution. Include the correction for continuity.
The probability of having fewer than 15 no-shows among 100 advanced reservations is approximately 0.8508
In our case, np = 100 * 0.12 = 12 and n(1-p) = 100 * 0.88 = 88, so we meet the criteria for using the normal approximation.
Next, we'll use the normal distribution formula to find the probability that there will be fewer than 15 no-shows:
P(X < 15) = P(Z < (15 - 12) / 2.60) = P(Z < 1.15)
Here, Z is a standard normal variable with mean 0 and standard deviation 1. We can use a normal distribution table or calculator to find that P(Z < 1.15) is approximately 0.8749.
However, we need to include the correction for continuity since we're approximating a discrete binomial distribution with a continuous normal distribution.
The correction for continuity involves adjusting the boundaries of the interval by 0.5. In this case, we're interested in the probability of having fewer than 15 no-shows, so we'll adjust the upper boundary to 14.5:
P(X < 15) ≈ P(Z < (14.5 - 12) / 2.60) = P(Z < 1.04)
Using a normal distribution table or calculator, we can find that P(Z < 1.04) is approximately 0.8508.
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In Triangle EFG, the measure of angle G=90°, the measure of angle E=77°, and GE = 8 feet. Find the
length of EF to the nearest tenth of a foot.
Answer:
35.6
Step-by-step explanation:
WHAT IS THE SIN (-300)
Answer:
√3/2 or 0.886025
Step-by-step explanation:
What is the square root of 25⁄4
Answer:
Exact Form:
5/2
Decimal Form:
2.5
Mixed Number Form:
21/2
Find the median.......
Answer:
(i) mean: 5.4 median: 5.5 mode: 8
(ii) mean: 4.6 median: 5 mode: 5
(iii) mean: 17.5 median: 4 mode: 4
Step-by-step explanation:
Hope this helps :) please mark me Brainliest
does this situation involve descriptive statistics or inferential statistics? a recent report estimates that four out of every five dentists recommend a brand of toothpaste. responses descriptive statistics descriptive statistics inferential statistics
A recent report estimates that four out of every five dentists recommend a brand of toothpaste situation involves Inferential statistics.
Inferential statistics are widely employed to compare the differences between the treatment groups. Inferential statistics compare the treatment groups and make generalizations about the subject population using data from the experiment's sample of subjects. To offer answers for a situation or phenomena, inferential statistics is helpful. It differs fundamentally from descriptive statistics, which do not allow for result extrapolations and merely report the data that has already been measured.
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plot function
f(x)=|x|
The absolute value or the modulus function is plotted
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = | x |
On simplifying , we get
If x is positive, then f(x) = x
If x = 0, then f(x) = 0
If x < 0, then f(x) = -x
Hence , the function is f ( x ) = | x | and the graph is plotted
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Write 10 9 as a decimal. Round to the nearest thousandth if necessary.
Answer:
If you mean 10/9 then the answer should be 1.1 repeating itself
Step-by-step explanation:
Answer:
1.111
Step-by-step explanation:
10/9 = 1.111
( i rounded 10/9 to a decimal)
am not 100% about this but hope it help
Help, I’m stuck on this question
Answer: 33 degrees
Step-by-step explanation: Angle x=angle m
Answer:
the triangle on the left is named XYZ
the triangle on the right is named MNL
therefore ∠X ≅ ∠M, ∠Y ≅∠N, and ∠Z ≅ ∠L
since ∠X = 33º, then ∠M = 33º
hope this helps :)
Which expression is equivalent to
8
p
−
3
n
+
4
q
−
9
m
Answer:
4p-n+2q-3m
Step-by-step explanation:
:)
How much time will it take your savings to double in value if the interest rate is 3%? What if the interest rate was 8%? Compute both answers by applying the "Rule of 72." Show all work
For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.
The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.
To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.
For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.
For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.
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If the area of Square 3 is 80cm and the area of square 2 is 100cm, what is the area of square1
The area of square 1 is 180 sq cm
What is the area of square?The area of a square is calculated with the help of the formula: Area = s × s, where, 's' is one side of the square. Since the area of a square is a two-dimensional quantity, it is always expressed in square units
Square 1 formed on hypotenuse of the triangle, squares 2 and 3 are formed on the perpendicular legs of the triangle. Thus, by Pythagoras Theorem, A(square 1) will be equal to the sum of the areas of (square 2) and (square 3).
Area of square 1 = Area of square 2 + Area of square 3
Area of square 1 = 100 + 80
Area of square 1 = 180cm^2
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when the expression $4(x^2-2x 2)-7(x^3-3x 1)$ is fully simplified, what is the sum of the squares of the coefficients of the terms?
To simplify the expression $4(x^2-2x+2)-7(x^3-3x+1)$, we need to distribute the coefficients and combine like terms.
First, let's simplify the terms within the parentheses:
$x^2-2x+2$ remains unchanged, and $x^3-3x+1$ remains unchanged.
Now, let's distribute the coefficients:
$4(x^2-2x+2)$ becomes $4x^2-8x+8$,
and $-7(x^3-3x+1)$ becomes $-7x^3+21x-7$.
Next, let's combine like terms:
The expression becomes $4x^2-8x+8-7x^3+21x-7$.
Finally, let's rearrange the terms in descending order of exponents:
The simplified expression is $-7x^3+4x^2+13x+1$.
To find the sum of the squares of the coefficients, we square each coefficient and add them up:
$(-7)^2 + 4^2 + 13^2 + 1^2 = 49 + 16 + 169 + 1 = 235$.
Therefore, the sum of the squares of the coefficients of the terms in the simplified expression is 235.
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If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs? No links Pls
Answer:
8.94
Step-by-step explanation:
Given that
qs = 12cm
qr = 8cm
Required
rs
Using the pythagoras theorem
Let us assume qs is the hypotenuse side
qs² = qr² + rs²
12² = 8² + rs²
144 = 64 +rs²
rs² = 144 - 64
rs² = 80
rs = √80
rs = 8.94
Hence the value of rs is 8.94
Solve the following math problem using Roman numerals.
VII + X =
XIV
XVII
XV
XX
Answer:
XVII
Step-by-step explanation:
VII + X =
V = 5
I = 1
X = 10
5+1+1 + 10 = 17
XVII
Can someone please help?
Answer:
b) X3=0+3-x
it should help you answer a
9
Find the values of r and y.
с
A
95°
B
4x
ro
D
E
Answer:
x = 18°, y = 167°Step-by-step explanation:
In right triangle sum of two angles is 90°
4x + x = 90°5x = 90°x = 90°/5x = 18°Angle y is exterior angle and equals non-adjacent interior angles
y = 4x + 95° = 4*18° + 95° = 72° + 95° = 167°the product of 2 times a and 5 times b
Answer:
2a * 5b
Step-by-step explanation:
2 times a = 2a
5 times b = 5b
The phrase "the product" shows the 2 elements are being multiplied together.
A code ue for 1 for A, 2 for B, 3 for C and o on upto 26 for Z. Coded word are written without pace to confue the enemy o 18 could be AH or R. Decode the following meage
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
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the measures of the bases of a trapezoid are 35 and 71. find the measure of the midsegment.
The length of midsegment of the trapizoid with bases 35 and 71 is 53.
What is a Trapizoid ?A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.
A trapezoid is a closed, four-sided, two-dimensional shape that has both a perimeter and an area. The bases of the trapezoid are the two sides of the form that are parallel to one another. The legs or lateral sides of a trapezoid are the non-parallel sides. The altitude is the smallest distance between two parallel sides. Calculating a trapezoid's area is easy since its opposite sides are parallel to one another.
A trapezoid differs from other quadrilaterals in that it has the following characteristics:
The top and bottom bases are parallel to one another.A trapezoid's opposite sides (isosceles) are equal in length.Angles close to one another add up to 180 degrees.Both of the bases are parallel to the midline.The median length is the average of the two bases. i.e. (a +b)/2A trapezoid is referred to as a parallelogram if both pairs of its opposite sides are parallel.A trapezoid can be thought of as a square if all sets of opposing sides are parallel, all sides are equal length, and all sides are at right angles to one another.A trapezoid can be thought of as a rectangle if its opposite side pairs are all parallel, equal in length, and at right angles to one another.The length of midsegment is sum of bases divided by 2
therefore midsegment = (35 + 71)/2 = 53.
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What triangles are similar to triangle AED? Explain or show your reasoning.
Answer:
DCE is similar to AED
EBA is similar to AED
AFE is similar to AED
EFD is similar to AED
Step-by-step explanation:
Triangle AED:
D=53(alternate interior angle)
A=180-90-53=37 (angle of triangle)
AA similarity criterion
DCE is similar to AED
angle BEA=180-90-53=37=angle A of AED
Thus: AA similarity criterion:
EBA is similar to AED
The diagonal of parallelogram(here:rectangle) cut it into 2 congruent triangles
Thus:
EBA is congruent to AFE
EBA is congruent to AFEDCE is congruent to EFD
Congruent triangles are similar
Conclusion:
DCE is similar to AED
EBA is similar to AED
AFE is similar to AED
EFD is similar to AED
Please give brainliest if it helps
The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.
We have to determineWhat triangles are similar to triangle AED?
According to the question
Alternate interior angles are formed when a transversal passes through two lines.
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
In the triangle AED:
The angle is equal to 53.
Then,
A=180-90-53=37
DCE is similar to AED.
Here EBA, DCE, EF, D, and AFE bc it doesn’t matter about the size it matters about the angle whether it stays the same and you can clearly see that angle b, and f, angle, c, and angle e are all 90 degrees making the triangles I listed similar to triangle AED.
Hence, The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.
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In the group of 2000 people 40 persent reads science and 30percent reads maths.If 100 people read both then how many people don't read both
Answer: 500 people don't read both.
Step-by-step explanation:
30% of 2,000 = 600 people read math.40% of 2,000 = 800 people read science.800 + 100 + 600 = 1,500 people either read science, math, or both.2,000 - 1,500 = 500 people don't read math and science.answer question please
Answer:
a) 4.18330013267
b) 7.65643191324
Step-by-step explanation:
Use the calculator to find out the values.
√17.5
=4.18330013267
2.3²+√5.6
5.29+2.36643191324
=7.65643191324
Answer:
a 4.1833
b 7.656
hope its helpful
Sequences as Functions: Practice
Save and Exit
Question 8 of 8
Consider the geometric sequence below.
2, 12, 72, 432, ...
Select the explicit function which defines the sequence.
f(n) = 6.3(m – 1)
0 0
f(n) = 6.2(1 - 1)
f(1) = 3.2(0 - 1)
O f(x) = 2.6(n - 1)
Submit
Reset
when checking for proper blood pressure cuff size, which guideline is correct? a. the width of the rubber bladder should equal 80% of the arm circumference. b. the standard cuff size is appropriate for all sizes c. the width of the rubber bladder should equal 40% of the arm circumference.
C) The width of the rubber bladder should equal to 40 percent of the arm circumference.
so option C is correct answer of this question.
According to American Heart Association Recommendations (AHA) for Physical Activity in Adults and Kids.
The ideal length and width of a bladder are given below:-
1.The length of the ideal bladder is greater than or equal to 80 percent of the circumference of the arm of the patient .
2.The width of the ideal bladder is greater than or equal to 40 percent of the circumference of the arm of the patient .
Here we are assuming arm as a cylinder having some radius r . so the arm must have some circumference .
so in the given conditon constraint on width satisfies the given conditon which is the case of 40% of the arm circumference.
and hence according to AHA guidelines only option C is correct.
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Suri travels by train when she is on vacation. These are the trains she rode this summer. Amtrak: 80 miles in 4 hours Metra: 30 miles in 2 hours a) How far will the Metra go in 6 hours? b) How long will it take Amtrak to travel 160 miles?
Answer:
a) The Metra will go 90 miles in 6 hours
b) It will take Amtrak 8 hours to travel 160 miles.
Step-by-step explanation:
From the question,
Metra travels 30 miles in 2 hours
a) To determine how far the Metra will go in 6 hours,
Let how far the Metra will go in 6 hours be x
Then,
If Metra goes 30 miles in 2 hours
Then, Metra will go x miles in 6 hours
x = (30 × 6)/2 miles = 90 miles
Hence, the Metra will go 90 miles in 6 hours.
b) To determine how long it will take Amtrak to travel 160 miles,
Let how long it will take Amtrak to travel 160 miles be y
From the question,
Amtrak travels 80 miles in 4 hours
Now,
If Amtrak travels 80 miles in 4 hours
Then, Amtrak will travel 160 miles in y hours
y = (160 × 4)/80 hours = 8 hours
Hence, it will take Amtrak 8 hours to travel 160 miles.
What is the y-intercept of y = 4x? Choose 1 answer:
Answer:
B (0,0)
Step-by-step explanation:
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept y=mx+b. Using the slope-intercept form, the y-intercept is 0. b=0
The y-intercept of y=4x is (0, 0)
Option B is correct
Y-intercept of a linear equationThe slope-intercept of a line is given as:
y = mx + c
where m represents the slope
c represents the y-intercept
The given equation is y = 4x
To find the y-intercept, substitute x = 0 into the equation and solve for y
y = 4(0)
y = 0
Therefore the y-intercept of y=4x is (0, 0)
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Please help! Equation and answer choices below.
The width of the rectangle is x + 4
How to find the width of the rectangleSince the area of the rectangle is x^2 + 15x + 44, the product that give the value can be solved by factorization
To factorize the expression x^2 + 15x + 44, we need to find two numbers whose product is 44 and whose sum is 15. These numbers are 11 and 4, because 11 times 4 is 44 and 11 plus 4 is 15.
Now we can write the expression as:
x^2 + 11x + 4x + 44
Grouping the terms in pairs:
(x^2 + 11x) + (4x + 44)
Factoring out the greatest common factor from each pair:
x(x + 11) + 4(x + 11)
Now we can see that we have a common factor of (x + 11):
(x + 11)(x + 4)
Therefore, the factored form of x^2 + 15x + 44 is:
(x + 11)(x + 4)
the width of the rectangle is x + 4
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Find the selling price is a store pays $12 for a book and the markup is 25%.
Answer:
$15
Step-by-step explanation:
use a calculator and type 25%x12 and you will get 3
so 3 is 25% of 12
add 12 and 3 together to get your answer. $15
Answer:
$15
Step-by-step explanation:
$12 + 25% = $15