Answer:
2 + 3 + 1 + 8 + 4 = 18
3 + 1 + 8 = 12
18 - 12 = 6
6 + 5 = 11
11 + 8 + 2 + 4 = 25
25 - 7 = 18
18 + 2 + 1 + 8 + 3 = 32
32 + 6 = 38
Therefore, the length of the space rock is 38 inches.
Step-by-step explanation:
10 kg of potatoes cost $4.50. How much will 50 kg of potatoes cost at this rate?
Answer:
$22.5
Step-by-step explanation:
10 kg=$4.50
50kg = x
(do cross multiplication)
10x =225
x=$22.5
Construct the indicated confidence interval for the difference between the two population
means. Assume that the two samples are independent simple random samples selected from
normally distributed populations. Do not assume that the population standard deviations are
equal.
Two types of flares are tested and their burning times are recorded. The summary statistics are
given below.
Brand X
n=35
x-19.4 min
s=1.4 min
Brand Y
n=40
x=15.1 min
s-0.8 min
Construct a 95% confidence interval for the differences between the mean burning time of the
brand X flare and the mean burning time of the brand Y flare.
OPTIONS:
A) 3.2 min
C) 3.5 min
B) 3.8 min
D) 3.6 min
Answer:
Answer: D
Step-by-step explanation:
To construct a 95% confidence interval for the difference between the means, we use the formula:
CI = x1 - x2 ± t*SE where x1 and x2 are the sample means, SE is the standard error of the difference, and t is the critical value from the t-distribution for a given confidence level and degrees of freedom.
SE = sqrt(s1^2/n1 + s2^2/n2) where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
The degrees of freedom can be calculated as:
df = n1-1 + n2-1 = 34 + 39 = 73
Using a t-distribution table with a confidence level of 95% and df=73, the critical value t is 1.996.
Plugging in the values, we have:
CI = 19.4 - 15.1 ± 1.996 * sqrt(1.4^2/35 + 0.8^2/40)
CI = 4.3 ± 1.996 * 0.38
CI = 4.3 ± 0.77
CI = (3.53, 5.07)
Therefore, the 95% confidence interval for the difference between the mean burning time of brand X and brand Y is (3.53, 5.07) minutes. So, the answer is D) 3.6 min.
Hope this helps, correct me if I’m wrong.
Express in the form n : 1
30 : 6
Answer:
5:1
Step-by-step explanation:
Tiffany works in a phone store and earns a commission of 21% on all her sales. If she sells $27,000 worth of cell phones this month, how much will her commission be?
Answer:
5670 usd
Step-by-step explanation:
27000×0.21=5670
Suppose you start with a full tank of gas (20 gallons) in your truck. After driving 3 hours, you now have 2 gallons left. If x is the number of hours you have been driving, then y is the number of gallons left in the tank. At what rate is the gas left in the tank changing? State your answer as a reduced fraction. Find an equation of a line in the form y = mx + b that describes the amount of gas in your tank.
The rate of the gas left in the tank will be -6 and the equation will be given as y = -6x + 20.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Suppose you start with a full tank of gas (20 gallons) in your truck. After driving 3 hours, you now have 2 gallons left. If x is the number of hours you have been driving, then y is the number of gallons left in the tank.The rate of gas will be calculated as:-
Suppose the hours are represented by x and the gallons are represented by y.
The rate of the gas will be the slope so the slope will be calculated as:-
\(m =\dfrac{y_2-y_1}{x_2-x_1}\)
\(m = \dfrac{2-20}{3-0}\)
\(m =\dfrac{-18}{3}\)
m = -6
The equation will be given as:-
y = mx + c
y = -6x + 20
Therefore the rate of the gas left in the tank will be -6 and the equation will be given as y = -6x + 20.
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i dont know how to do this so hElp
Answer:
3.5× c20
#######################
PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bride _ times?
Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.
What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.To learn more about linear function refer:
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How many different ways are there to arrange the letters A, B, A, and B?
6
4
16
8
Therefore , the solution of the given problem of unitary method comes out to be the letters A, B, A, and B can thus be arranged in six distinct ways.
Unitary method : What is it?Using what was learned, utilising this varied approach, and combining all crucial factors from prior researchers who employed a certain methodology can enable completion of the assignment. The entity indicated in the proposition can then either also be discovered or both crucial processes will definitely miss the expression if the desired claim outcome occurs. A refundable prepayment of Rupees ($1.21) may be needed for fifty pens.
Here,
The following formula can be used to create permutations of n objects with repeats of k1, k2,..., kr objects of each type:
=> n!/(k1! * k2! * ... * kr!)
We have two different object kinds (A and B) here, both of which are repeated twice. As a result, we have:
n = 4 (the total number of things) (the total number of objects)
=>k1 = k2 = 2 (the number of objects of each category) (the number of objects of each type)
The result of the formula is:
=> 4!/(2! * 2!) = 24/(2 * 2) = 6
The letters A, B, A, and B can thus be arranged in six distinct ways.
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Which blocks perform arithmetic operations, generate random numbers, and compare numeric values to determine their relationship to one another
Answer: Number
Step-by-step explanation:
For performing arithmetic operations, number blocks, such as arithmetic sequences, are used. To Generate numbers at random, such as 3,5,7,9,1,. And comparisons of numeric value to determine the relationship between each and every value.
What is slope I need help finding the slope please help me
The slope is 3 this is intergers solution the right side is positive and left side is negative
PLEASE HELP FAST!! IT IS URGENT!! Some stores print multiple coupons and advertisements on their receipts, making the receipts unusually long. A curious shopper makes the same purchase at a random sample of 10 stores and measures the length of each receipt (n inches). Here are the results: 8.25, 7.5, 5, 9.5, 12, 5.5, 9, 14, 11.5, 18 Are the conditions for cons tructing at confidence interval met?
O No, the random condition is not met.
O No, the 10% condition is not net.
O No, the Normal/large sanple condition is not met.
O Yes, the conditions for inference are met.
Answer:
No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.
Which of the following ordered pairs below represents the same point in space in both the cartesian coordinate system and the polar coordinate system
Recall that in polar coordinates, the first entry represents the radius, and the second entry of the ordered pair represents the angle:
\((r,\theta).\)Now, in Cartesian coordinates, the first entry represents how much you "move" in the x, axis the second entry represents how much you "move" in the y-axis.
Therefore, a point that is the same in both coordinates, can have the same first entry, but we have to be careful with the second entry, from the given options, notice that the point:
\((\pi,0)\)represents the same point on the plane for both coordinate systems.
Answer: \((\pi,0).\)given: ba=46, angle a=70, angle c=90, ca=x. Find x and ac
PLEASE HELP QUICKLY
x ≈ 95.68 and ac ≈ 52.64.
by using the law of sines
for ac
sin(B)/b = sin(A)/a
sin(20)/ac = sin(70)/46
ac ≈ 52.64
for x
sin(C)/c = sin(B)/b
sin(90)/x = sin(20)/ac
x ≈ 95.68
what is the law of sines?
The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.
The side or unknown angle of an oblique triangle is found using the law of sine. Any triangle that is not a right triangle is referred to as an oblique triangle. At least two angles and their corresponding side measurements should be used at once for the sine law to function.
from the question;
To find the unknown sides, we can utilize the rule of sines and the knowledge that a triangle's angles sum to 180 degrees.
First, let's use the law of sines to find the length of side bc:
sin(A)/a = sin(C)/c
sin(70)/46 = sin(90)/bc
bc = 46*cos(70)
bc ≈ 15.16
Secondly, we may use the fact that a triangle's angles sum to 180 degrees to determine angle b:
angle b = 180 - angle a - angle c
angle b = 180 - 70 - 90
angle b = 20
Now, we can once more determine the length of sides ac and ca using the law of sines:
sin(B)/b = sin(A)/a
sin(20)/ac = sin(70)/46
ac ≈ 52.64
for x
sin(C)/c = sin(B)/b
sin(90)/x = sin(20)/ac
x ≈ 95.68
Therefore, x ≈ 95.68 and ac ≈ 52.64.
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PLEASE HURRY!!!!
Which expression is equivalent to Tangent (StartFraction 3 pi Over 4 EndFraction minus 2 x)?
StartFraction negative 1 minus tangent (2 x) Over 1 minus (negative 1) (tangent (2 x) ) EndFraction
StartFraction negative 1 minus tangent (2 x) Over 1 + (negative 1) (tangent (2 x) ) EndFraction
StartFraction 1 minus tangent (2 x) Over 1 + (1) (tangent (2 x) ) EndFraction
StartFraction 1 + tangent (2 x) Over 1 minus (1) (tangent (2 x) ) EndFraction
Answer:
B -1-tan(2x)/1+(-1)(tan(2x))
Step-by-step explanation:
Edge 2020
the original expression listed in the question can be simplified to -1+tan(2x)/1-tan(2x). expression B can also be simplified to -1+tan(2x)/1-tan(2x)
The expression equivalent to tan(3π/4 -2x) is -1-tan(2x)/1+(-1)(tan(2x))
What is tangent?It is the trigonometric identity.
Using the trigonometric formula , tan (A-B) = tanA - tanB/ (1+tanA tanB )
tan(3π/4 -2x) = tan(3π/4) - tan2x / 1+ tan(3π/4)tan2x
tan(3π/4 -2x) = -1-tan(2x)/1+(-1)(tan(2x))
Thus, the expression equivalent to tan(3π/4 -2x) is -1-tan(2x)/1+(-1)(tan(2x))
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How do you write 1 2/3 as a decimal.
Answer:
1.7
Step-by-step explanation:
11. A triangle has a base length of 3.9 cm and a height of 9 cm. Which dimensions could
be the measurements of a similar triangle?
The dimensions that could be the measurements of a similar triangle are; base = 7.8 cm and height = 18 cm
How to Identify a similar triangle?Two triangles are said to be similar provided that they have the same ratio of corresponding sides and an equal pair of corresponding angles.
Now, we are given the side lengths of the triangle as a base length of 3.9 cm and a height of 9 cm.
Thus, this means that a similar triangle will have same ratio of side lengths. Thus;
If new height is h and new base is b, then we have;
9/h = 3.9/b
Thus,
h/b = 9/3.9
If we multiply the right side top and bottom by 2, then we have;
h/b = 18/7.8
18 and 7.8 cm could be similar dimensions.
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The equation for the area of a trapezoid is A equals one-half times h times the quantity of b subscript 1 plus b subscript 2 end quantity..
If A = 28, b1 = 6, and b2 = 8, what is the height of the trapezoid?
h = 2
h = 4
h = 6
h = 7
The height of the trapezoid is h = 4, and the answer is B.
Describe Trapezoid?A trapezoid, also known as a trapezium, is a four-sided polygon with two parallel sides, also called the bases. The non-parallel sides are called legs, and they can have different lengths. The parallel sides are perpendicular to the legs.
There are two types of trapezoids:
Isosceles trapezoid: This type of trapezoid has two parallel sides of equal length and two legs of equal length.
Scalene trapezoid: This type of trapezoid has two parallel sides of different lengths and two legs of different lengths.
We can use the formula A = 1/2 * h * (b1 + b2) to solve for h. Substituting the given values, we get:
28 = 1/2 * h * (6 + 8)
28 = 1/2 * h * 14
28 = 7h
h = 4
Therefore, the height of the trapezoid is h = 4, and the answer is B.
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A password with 6 characters is randomly selected from the 26 letters of the alphabet.
What is the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent?
We can see here that the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent is = 9.8%.
What is probability?Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.
The probability of an event can be calculated using the following formula:
Probability = Favorable Outcomes / Total Outcomes
The number of possible passwords is:
26 × 26 × 26 × 26 × 26 × 26 = 308,915,776.
The number of passwords with no repeated letters is
26P6 = 30,260,000.
The probability of a password having no repeated letters is
= 30,260,000 / 308,915,776 = 0.09779 = 9.78%.
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Randy has $15 to spend on fruit. Using only estimation, which quantities of fruit can Randy reasonably buy? Check all that apply.
Answer:
7.2 pounds of apples
10.75 pounds of pears
4.22 pounds of strawberries
Answer:
A D E A=7.2 D=10.75 E=4.22. HOPE THIS HELPS! PLS give me brainliest...
Step-by-step explanation:
Find the slope of the tangent line to the curve defined by 4x2+5xy+y4=370
at the point (−9,−1)
Answer:
The slope of the tangent line to the curve at the given point is -11/7.
Step-by-step explanation:
Differentiation is an algebraic process that finds the gradient (slope) of a curve. At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.
Given function:
\(4x^2+5xy+y^4=370\)
To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.
Begin by placing d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)
Differentiate the terms in x only (and constant terms):
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)
Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Use the product rule to differentiate terms in both x and y.
\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)
\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:
\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)
To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)
Therefore, slope of the tangent line to the curve at the given point is -11/7.
find the fractional form of sixty tow
seventh
sixty tow seven is not a number.
80 81 82 83 84 85 86 87 88 89 90
Anika's test scores are shown below.
Anika's Test Scores
80 81 82 83 84 85 86 87 88 89 90
Which statement compares the shape of the two dot plots?
There is a gap in both plots.
There is a gap in Anika's scores, but not in Lorenzo's scores.
The data is widely spread across both plots.
The data is more widely spread for Lorenzo's scores than for Anika's.
Mark this and return
Save and Exit
Answer:
D :)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Braily please
Someone please HELP! Thanks so much
Answer:
c. 6Step-by-step explanation:
please mark as brain and like please please follow me and I'm waiting excitedly for the reaction of you and your like a good day
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
It is expected that 30% of the criminals in our prisons are violent offenders, 65% are nonviolent, and 5% are actually innocent. A sample of 300 inmates showed that 90 were violent offenders, 200 were nonviolent, and 10 were innocent. At the .05 significance level, can we conclude that the observed frequencies are different than the expected frequencies?
a motorist left home at 10 a.m. to travel to a cityof a distance of 260 km he reckoned hecould average 80km/ h at what time would he arrive at the city
Answer:
He would get there at 1:15 (I did this in my head, may be wrong)
Step by step solution:
We know the motorist left home at 10. We can divide the 260/80 and we get 3 hrs, we still have 20 km left over, keep on dividing and you get 1:15 p.m.
A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
I need help with this question please with details
The dimensions of the rectangular box are given as follows:
All the dimensions.
A. 6 inches long, 3 inches wide, 3 inches tallB. 9 inches long, 2 inches wide, 3 inches tallC. 18 inches long, 3 inches wide, 1 inch tallD. 27 inches long, 2 inches wide, 1 inches tallHow to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The box's volume is obtained as follows:
54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)
Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.
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What shape has at least one right angle but is not a square
What is the distance from Point A (3, 8) and Point B (11,2)
9
B 10
C
11
O D. 12
Answer:
10
Step-by-step explanation: