Answer:
4900
Step-by-step explanation:
so what you're going to do first is you're going to do 114* 43 which equals 4902 then you round that and you're going to have 4900I am not a hundred percent sure
a jet bomber traveling 500 mph arrived over its Target at the same time as its fighter jet escorted which left the same fate 2.5 hours after the bomb took off how many hours did the bomber take to reach the target of the fighter jet travel at 60 miles per hour
Since the jet bomber arrived over its Target at the same time as its fighter jet escorted, it took the jet bomber 0.34 h to reach the target.
To find the number of hours, we need to solve simultaneous equations.
What are simultaneous equations?Simultaneous equations are pair of equations which contain two unknowns.
How to calculate the number of hours the bomber jet took off?Let
D = distance travelled by both bomber jet and fighter jet.t = time bomber jet took off v = speed of bomber jet. T = time fighter jet took off and V = speed of fighter jet.So, D = vt
D = 500t (1)
Also, D = VT
D = 60T (2)
Since jet bomber traveling 500 mph arrived over its Target at the same time as its fighter jet escorted which left the same fate 2.5 hours after the bomb took off.
T = t + 2.5
So, D = 60(t + 2.5) (3)
The required simultaneous equationsD = 500t (1)
D = 60(t + 2.5) (3)
Equating equations (1) and (3), we have
500t = 60(t + 2.5)
500t = 60t + 150
500t - 60t = 150
440t = 150
t = 150/440
t = 15/44
t = 0.34 h
So, it took the jet bomber 0.34 hours to reach the target.
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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.15 gallons. A previous study found that for an average family the variance is 3.61 gallons and the mean is 19.4 gallons per day. If they are using a 95% level of confidence, how large of a sample is required to estimate the mean usage of water
The minimum sample size required to estimate the mean usage of water = 2225.07
What is Standard deviation?
In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.
We can find the minimum sample size required to estimate the mean usage of water as shown below:
Standard deviation [tex]\sigma =3.61[/tex]
Margin of error E=0.15
Critical value for 95% confidence interval = 1.96
Required minimum sample size: [tex]n=(\frac{Z_{\frac{\alpha}{2}}.\sigma }{E} )^2[/tex]
[tex]=(\frac{1.96\times 3.61}{0.15} )^2[/tex]
=2225.07
Hence, the minimum sample size required to estimate the mean usage of water = 2225.07
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Three friends owe 18 dollars to another friend for gas if they plan to split the cost evenly which of the following expressions could they use to find how much they each owe
If they plan to split the cost evenly, the expression that could be used to find how much they each owe is 18/3
How to determine the amount paid by each?The given parameters are:
Total amount owed = 18 dollars
Number of friend = 3
If they plan to split the cost evenly, the expression that could be used to find how much they each owe is represented as:
Amount = Total/Friends
This gives
Amount = 18/3
Hence, the expression is 18/3
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is flipped ten times, and he is asked to predict in advance the outcome. Our individual gets seven out of ten correct. What is the probability he would have done at least this well if he had no ESP
The required probability is 0.171.
What is probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We can find required Probability as shown:
From 10 coins we choose 7 he guessed correct with probability of each 1/2. For three remaining coins he failed to predict the outcomes of the flip with the probability of 1/2 for each. Similarly for 8,9 or 10 successive trials. Let X denote number of successive trials
[tex]P(X\geq 7)= \tbinom{10}{7}.\frac{1}{2^{10}}+\tbinom{10}{8}.\frac{1}{2^{10}} +\tbinom{10}{9}.\frac{1}{2^{10}}+\tbinom{10}{10}.\frac{1}{2^{10}}[/tex]
[tex]=120.\frac{1}{2^{10}} +45.\frac{1}{2^{10}} +10.\frac{1}{2^{10}} +.\frac{1}{2^{10}}[/tex]
[tex]=\frac{120+45+10+1}{2^{10}}[/tex]
[tex]=\frac{176}{1024}[/tex]
=0.171
Hence, the required probability is 0.171.
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Given question is incomplete. This is complete question:
A man claims to have extrasensory perception. As a test, a fair coin is flipped 10 times and the man is asked to predict the outcome in advance. He gets 7 out of 10 correct. What is the probability that he would have done at least this well if he had no ESP?
There are 26 prize tickets in a bowl, labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen? Does this represent an independent or dependent event? Explain.
Using it's concept, there is a 0.0308 = 3.08% probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen. Since the letter is not replaced, the number of outcomes change, hence they are dependent.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For the first ticket, since 5 out of 26 letters are vogal, the probability is:
5/26.
For the second ticket, since there is no replacement, the probability is:
4/25.
The probability of both tickets is:
[tex]p = \frac{5}{26} \times \frac{4}{25} = 0.0308[/tex]
0.0308 = 3.08% probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen. Since the letter is not replaced, the number of outcomes change, hence they are dependent.
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Determine the unknown length or angle measurement. Round each answer to the nearest whole number
(a) The value of the unknown length, a, is 18 cm
(b) The value of the unknown angle measurement, θ, is 39°
From the question, we are to determine the unknown length and angle measurement
(a)
A + B + C = 180° (Sum of angles in a triangle)
A = 180° - (B + C)
A = 180° -(68° + 59°)
A = 53°
Using the law of sines
[tex]\frac{a}{sin A}=\frac{c}{sin C}[/tex]
[tex]\frac{a}{sin 53^\circ}=\frac{19.5}{sin 59^\circ}[/tex]
[tex]a=\frac{19.5 \times sin 53^\circ}{sin 59^\circ}[/tex]
[tex]a= 18.168[/tex]
[tex]a \approx 18 cm[/tex]
(b)
[tex]\frac{sin A}{a}=\frac{sin B}{b}[/tex]
[tex]\frac{sin \theta}{15}=\frac{sin 57^\circ}{20}[/tex]
[tex]sin \theta=\frac{15 \times sin 57^\circ}{20}[/tex]
[tex]sin \theta=0.6290[/tex]
[tex]\theta=sin ^{-1} (0.6290)[/tex]
[tex]\theta=38.976 ^\circ[/tex]
[tex]\theta \approx 39^\circ[/tex]
Hence, the value of the unknown length, a, is 18 cm
The value of the unknown angle measurement, θ, is 39°
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Work out the area of the triangle.
Answer:
555.75m²Step-by-step explanation:
Triangle Area = 1/2b*h
1/2 57 * 19.5 =
28.5 * 19.5 =
555.75m²
You have fifteen blankets that each take up 557 cubic inches of space. How many blankets could you pack into a 14-inch moving box
You have fifteen blankets that each take up 557 cubic inches of space. In a 14-inch moving box, we can pack approximately 5 blankets.
The Volume that can take up by single blanket is 557 cubic inches.
The dimension of the moving box = 14 × 14 × 14
Hence, the volume of the moving box = 2744 cubic inches
The total number of blankets that can be packed in the given moving box = 2744/557 = 4.92 ≅ 5
Therefore, in a 14-inch moving box, there can be 15 blankets with 557 cubic inches of space of each can be packed.
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A doctor asked a patient to reduce his medication by a regular number of tablets per week. The reduction plan begins one week after the visit to the doctor. If 10 weeks after the visit to the doctor the person is taking 40 tablets and 20 weeks after the visit the person is taking 30. Find the weekly reduction in his consumption of tablets.
1 tablet weekly reduction in his consumption of tablets.
What is an algebraic expression?Algebraic expression is a set of variable, constant and algebraic operations like addition, subtraction, multiplication and division. for example 3x^2+2x+3=0
Tablet after 10 week of doctor visit = 40 tablet
Tablet after 20 week of doctor visit= 30
In 10 week there is a difference of (40-30) 10 tablets.
in 10 week there is reduction of 10 tablets its mean there is reduction of 1 tablet per week
so, the weekly reduction of 1 tablet per week.
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The probability of winning on an arcade game is 0.568. If you play the arcade game 22 times, what is the probability of winning more than 15 times
The probability of winning 15 out of the 22 games is [tex]P = 0.099[/tex]
what is the probability of winning more than 15 times?We know that the probability of winning on the arcade game is 0.568.
Then the probability of losing is:
P = 1 - 0.568 = 0.432
The probability of winning 15 out of 22 games is given by the equation:
[tex]P = C(22, 15)*(0.568)^{15}*(0.432)^{7}[/tex]
Where C(22, 15) is the number of combinations of 15 elements that we can make with a set of 22 elements, given by:
[tex]C(22, 15) = \frac{22!}{(22 - 15)!*15!} = \frac{22!}{7!*15!} = \frac{22*21*20*19*18*17*16}{7*6*5*4*3*2*1} = 170,544[/tex]
Then the probability is:
[tex]P = 170,544*(0.568)^{15}*(0.432)^7 = 0.099[/tex]
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Find the surface area of the pyramid. Round to the nearest tenth.
Answer:
279
Step-by-step explanation:
The area of the square base is 9² = 81.
The area of each triangular face is (1/2)(9)(11)=99/2.
So, the total surface area is 4(99/2)+81=279
Which is the graph of a logarithmic function?
The domain and range of the graph of a logarithmic function are;
Domain; 0 < x < +∞Range; The set of real numbers.How can the graph that correctly represents a logarithmic function be selected?The basic equation of a logarithmic function can be presented in the form;
[tex]y = log_{b}(x) [/tex]
Where;
b > 0, and b ≠ 1, given that we have;
[tex]y = log_{1}(x)[/tex]
[tex] {1}^{y} = 1[/tex]
The inverse of the logarithmic function is the exponential function presented as follows;
[tex]x = {b}^{y} [/tex]
Given that b > 0, we have;
[tex] {b}^{y} = x > 0[/tex]
Therefore, the graph of a logarithmic function has only positive x-values
The graph of a logarithmic function is one with a domain and range defined as follows;
Domain; 0 < x < +∞
Range; -∞ < y < +∞, which is the set of real numbers.
The correct option therefore has a domain as x > 0 and range as the set of all real numbers.
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Answer:
3 or C
Step-by-step explanation:
The answer above is correct.
Read the excerpt from The Land.
"I'm ready to start getting to know him," I answered. "Not ready to mount him yet."
"Now, what you mean by that? Get on that horse."
"No, sir, I can't. You need to give me some time with him first."
"Well, I don't have none of that."
"It's important. Now, I said I'd ride your horse, Mister Sutcliffe, but I've got my own way of dealing with horses. You want me to win, then I've got to deal with this grey my way."
Based on this dialogue, which word best describes Paul’s approach to riding a new horse?
overbearing
carefree
methodical
informal
From the conversation it can be inferred that Paul's approach to getting on the horse is methodical (option c).
What is methodical behavior?A methodical attitude or behavior refers to the preference of people to use an organized method and sequences to perform an activity correctly.
According to the above, it can be inferred that Paul behaves in a methodical manner because he prefers to relate to the horse slowly and in a controlled manner before proceeding to mount it.
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rewrite each expression without using absolute value notation |7m-56| if m<8
Considering the definition of the absolute value function, the expression is written as -7m + 56.
What is the definition of the absolute value function?The absolute value function is defined as follows:
[tex]|x| = x, x \geq 0[/tex].[tex]|x| = -x, x < 0[/tex]That is, where the expression is negative, it is multiplied by -1, while where it is not negative the expression is kept.
In this problem, the expression is:
|7m - 56|
For m < 8, we have that one example is m = 0:
7(0) - 56 = -56.
The expression is negative, hence the signal is changed, that is:
|7m - 56| = -(7m - 56) = -7m + 56.
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If someone can help with this that would be great
Answer:
p ≈ 7.3 m
Step-by-step explanation:
using the Sine Rule in the triangle
[tex]\frac{p}{sinP}[/tex] = [tex]\frac{r}{sinR}[/tex] ( substitute values )
[tex]\frac{p}{sin40}[/tex] = [tex]\frac{10}{sin62}[/tex] ( cross- multiply )
p × sin62° = 10 × sin40° ( divide both sides by sin62° )
p = [tex]\frac{10sin40}{sin62}[/tex] ≈ 7.3 m ( to the nearest tenth )
Answer:
[tex]\fbox {p = 7.3 m}[/tex]
Step-by-step explanation:
Applying the Law of Sines :
[tex]\boxed {\frac{sin R}{PS} = \frac{sin P}{RS}}[/tex]
Substitute the values :
sin 62° / 10 = sin 40° / pp = sin 40° × 10 / sin 62°p = 0.64278761 × 10 / 0.882947593p = 7.3 m (nearest tenth)WILL MAKE BRAINLIEST!!
Complete the congruence statement for the figure below.
What make 6 6 6 6=9 true
Answer:
Step-by-step explanation:
6^0 + 6^0 + 6^0 + 6
= 1+1+1+6
= 9.
 What property is used to do…
-2y + 15 = -23
Answer:
-2y= -23-15
-2y=-38
-y= -38/2
-y=19 proved
A procedure for using sample data to find the estimated regression equation is _____. Group of answer choices point estimation interval estimation the least squares method extrapolation
c. the least squares method.
Regression equation:
In simple linear regression, the predicted value of the dependent variable is given by the equation = b0 + b1x. The values of b0 and b1 are calculated from the data so that the line = b0 + b1X minimizes the total sum of squared errors (error is the difference between the predicted value and the actual value of y).
Least squares method:
The least squares method is a statistical procedure to find the best fit for a set of data points by minimizing the sum of the offsets or residuals of points from the plotted curve.
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x: -1/2
-6(x-2):
por favor necesito una respuesta
The value of the expression if x = -1/2 is 15
Function and valuesGiven the expression below shown;
f(x) = -6(x - 2)
If the value of x is -1/2, hence;
f(-1/2) = -6(-1/2 - 2)
Simplify
f(-1/2) = -6(-5/2)
f(-1/2) = 6 * 5/2
f(-1/2) = 3 * 5 = 15
Hence the value of the expression if x = -1/2 is 15
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PLEASE HELP IM STUCK
Answer:
-70
Step-by-step explanation:
We are given this arithmetic sequence:
-2, -6, -10, -14, ...
And we want to find the 18th term in it.
The 18th term can be found using this formula:
1st term + common difference(desired term-1)
The desired term is the term that we are looking for. In this case, it would be the 18th term, so substitute 'desired term' with 18.
1st term + common difference(18-1)
So, let's find the first term and the common difference.
The 1st term is the first term (number) that appears in the sequence. In this case, that number would be -2.
The common difference can be found by doing second term minus first term.
Remember that we know that the first term is -2. The second term is the second number that appears in the sequence, which would be -6.
So, do -6 subtract -2.
-6 - - 2
-6 + 2
-4
The common difference is -4.
So, we can plug -2 and -4 into the formula.
-2 - 4(18-1)
Now, doing the order of operations, first, subtract 1 from 18.
-2-4(17)
Now multiply -4 and 17 together.
-2 -68
Subtract -68 from -2.
-70
The 18th term of the sequence is -70.
A scientist observes the bacteria’s growth. In the first observation, there were 12 bacteria, 24 in the second observation, 48 in the third and so on. How many bacteria will be there in the 8th observation? Use the explicit formula.
1,536
28
126
27
Answer:
Step-by-step explanation:96 in the fourth since they are adding the answer itself two times before you get the other like 12 bacteria and then 24 so that means 12 + 12 is 24 and the third one 48 so 24 +24 =48
fourth 48 + 48=96
fifth 96+96=192
sixth 192+192=384
seventh 384+384=768
last but not least 768+768 = 1536
so your answer is 1,536
Which of the following is equal to the expression below?
(4^-5)^3
A. -4^2
B. 1/4^15
C. -4^15
D. 1/4^2
Answer: B
Step-by-step explanation:
[tex](4^{-5})^3=4^{-15}=\frac{1}{4^{15}}[/tex]
The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.
An object is launched at an initial velocity of 19.6 meters per second from an initial height of 24.5 meters. Which equation can be used to find the number of seconds it takes the object to hit the ground?
A. 0 = –4.9t2 + 19.6t + 24.5
B 0 = –4.9t2 + 24.5t + 19.6
C. 19.6 = –4.9t2 + 24.5t
D. 24.5 = –4.9t2 + 19.6t
Answer: 0=-4.9t²+19.6t+24.5
Step-by-step explanation:
[tex]s(t)=gt^2+v_0t+s_0\\v_0=19,6\ \frac{m}{s} \ \ \ \ s_0=24,5\ m\ \ \ \ g=-4,9\ \frac{m}{s^2} \ \ \ \ S(t)=0\ (the\ object \ hitts\ the \ ground)\ \Rightarrow\\0=-4,9t^2+19,6t+24,5.[/tex]
The question is about unit circle in screenshot
The complete sentence for the unit circle is:
When t = 0, AP = 0, so sin t will begin at a value of 0. As t increases from 0 to π/2, sin t increases. Eventually, when t = π/2, OP will be 0, so sin t = AP will be 1.
How to complete a sentence with concepts from trigonometry
In this problem we have sentence to be completed by direct observation to the variables seen in a unit circle, a form used to teach trigonometric functions in a graphic manner. Now we proceed to present the complete sentence below:
When t = 0, AP = 0, so sin t will begin at a value of 0. As t increases from 0 to π/2, sin t increases. Eventually, when t = π/2, OP will be 0, so sin t = AP will be 1.
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Diamond went to lunch with her friends. The total bill came to $32.20. If Diamond tipped 19%, how much tip did she leave?
$6.12
Step-by-step explanation:A percentage is some portion of a whole number. Multiple methods can be used to find percentages.
Multiplication to Find Percentages
One of the easiest ways to find percentages is to multiply the original number by a decimal. To do this, one first needs to turn the percentage into a decimal.
For example,
19% = 0.19To convert a percentage to a decimal, just move the decimal point 2 places to the left.
Then, multiply this decimal by the whole number, and the answer, in this case, will be the tip.
19% of $32.20
Now, to solve we can just multiply.
0.19 * 32.20 = 6.118The exact answer is 6.118. However, since we are using money, we are going to round to the nearest hundredth place. This gives the final answer of $6.12.
The measure of one angle of an octagon is twice the measure of one of the other seven congruent angles. What is the measure of each angle?
Each one of the smaller angles x = 120 degrees and the larger angle = 2x = 2 × 120 = 240 degrees
How to find the angle of octagon?The angle of an octagon can be found as follows;
An octagon is a polygon that has 8 sides.
The sum of angles in an octagon is 1080 degrees.
Therefore,
x + x + x + x + x + x + x + 2x = 1080
Hence,
9x = 1080
divide both sides by 9
x = 1080 / 9
x = 120
Therefore, each one of the smaller angles x = 120 degrees and the larger angle = 2x = 2 × 120 = 240 degrees
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Two friends are planning for a gathering. The food budget is modeled by 1/2(x-120)=10,where x is the amount spent on food. What are the least and greatest amounts that the two friends could spend on food
The least and greatest amounts that the two friends could spend on food are 100 and 140 respectively
Functions and values
Functions are expressions written in terms of letters known as variables. Given the equation that represents the food budget of two friends as shown;
1/2(x-120)=10
where x is the amount spent on food.
In order to determine the least and greatest amounts that the two friends could spend on food,
For the least amount
-(x-120) = 20
-x+120 = 20
x = 100
For the greatest amount
(x-120) = 20
x = 140
Hence the least and greatest amounts that the two friends could spend on food are 100 and 140 respectively
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What number is represented by the question mark?
111= 0, 3213=0, 7756= 1,7662= 2, 6855= 3, 8096= 5,6666=4 . 8193= 3,9313= 1,8639= 4,1234=0, 2581 = 2,7186= 3, 2679=?
The number that is represented by the question mark in the sequence is 2
What are sequence?Sequence are set of numbers that follow a predefined and predetermined patterns guided by a rule
How to determine the number represented by the question mark?The sequence of numbers is given as:
111= 0, 3213=0,
7756= 1, 7662= 2,
6855= 3, 8096= 5,
6666=4 8193= 3,
9313= 1, 8639= 4,
1234=0, 2581 = 2,
7186= 3, 2(6)7(9)=
From the complete question, the values of the sequence are determined by the count of numbers that are circled or in brackets
In the 2(6)7(9), two numbers are circled.
The numbers are 6 and 9
This means that the value of 2679 is 2
i.e. 2(6)7(9)= 2
Hence, the number that is represented by the question mark in the sequence is 2
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You have 1 blue suit, 2 black suits, and 1 brown suit, You also have 2 blue ties, 3 red ties, and 3 pink ties. What is the probability that you pick a striped shirt AND a blue suit AND a pink tie
The probability that you pick a striped shirt AND a blue suit is 1/4 AND a pink tie is 3/8.
According to the statement
Number of blue suit = 1
Number of black suit = 2
Number of brown suit = 1
Number of blue ties = 2
Number of red ties = 3
Number of pink ties = 3
Now we find the probability by its formula
Probability that picked suit is blue = blue suits/ total number of suits
Probability = 1/4
Now,
Probability that picked tie is pink = Pink tie / total number of ties
Probability = 3/8
So, The probability that you pick a striped shirt AND a blue suit is 1/4 AND a pink tie is 3/8.
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