9514 1404 393
Answer:
a. 5√3 ft
b. 8.7 ft
Step-by-step explanation:
The area is the square of the side length, so the side length is the square root of the area:
s = √A
s = √(75 ft²) = √(25·3 ft²) = √(3·(5 ft)²)
s = 5√3 ft ≈ 8.7 ft . . . . . . side length of garden
Plane A is flying at 440 mph in the northeast direction relative to the Earth. Plane B is flying at 550 mph in the north direction relative to the Earth. What is the speed of Plane B as observed from Plane A?a. 532 mphb. 860 mphc. 362 mphd. 659 mphe. 669 mph
Answer:
The speed of plane B relative to plane A is 392.25 mph.
Step-by-step explanation:
Speed of plane A = 440 mph north east
speed of plane B = 550 mph north
speed of plane A = [tex]440(cos 45 \widehat{i} + sin 45 \widehat{j})=311.1 \widehat{i} + 311.1 \widehat{j}[/tex]
speed of plane B = [tex]550 \widehat{j}[/tex]
Speed of plane B with respect to plane A is
= speed of plane B - speed of plane A
[tex]=550 \widehat{j} - 311.1 \widehat{i} - 311.1 \widehat{j}\\\\=-311.1 \widehat{i} + 238.9 \widehat{j}\\\\= \sqrt{311.1^2 + 238.9^2 }\\\\=392.25 mph[/tex]
Assuming the speed of sound is 340 m/s ..
Answer:
You did not finish the question. If you were to finish it, we might be able to help you.
A manufacturer of compact-disk players subjects the equipment to a comprehensive testing process for all mechanical and electrical functions before the equipment leave the factory. Ideally, the hope is that each compact-disk player passes on the first test. Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9. If 4 compact-disk players are randomly selected, determine the probability for Question a-f and round your answer to four decimal places.
Answer:
Incomplete question, but the binomial distribution with [tex]p = 0.9[/tex] and [tex]n = 4[/tex] is used to solve the questions.
Step-by-step explanation:
For each disk, there are only two possible outcomes. Either it passes the first test, or it does not. The probability of a disk passing the first test is independent of any other disk. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9.
This means that [tex]p = 0.9[/tex]
4 compact-disk players are randomly selected
This means that [tex]n = 4[/tex]
You want to buy a pair of shoes that usually cost $100. Today the store is
having a sale: 20% off everything.
You also have a coupon that
promises 10% off the price at the
register. How much do you save? *
Pls help and pls show how you got it! I am very confused.
Thank you
Answer:
You saved $30
Step-by-step explanation:
20% + 10% = 30%
30% = 0.30
$100 * 0.30 = $30
$100 - $30 = $70
Hope this is helpful
Given AD|GJ. Refer to the figure and provide an appropriate name for
Check the picture below.
Pat used unit cubes to build a right rectangular prism with a volume of 32 cubic units. The height of the prism is 4 units. What figure could be the bottom layer of the prism?
Answer:
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
Step-by-step explanation:
V = l*w*h
32 = l*w*4
32/4 = l*w*4/4
8 = l*w
We could have 1*8
We could have 2*4
It must be a rectangle
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
What is the formula for margin of error?The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply.
Answer:
d
Step-by-step explanation:
3. The number of sheets of paper available for making notebooks is 78,000. Each
sheet of paper makes 8 pages of a notebook. If each notebook contains 192
pages, find the number of notebooks that can be made from the paper available?
Answer:
3250
Step-by-step explanation:
Answer:
I believe the answer is 3,250
78,000 x 8 = 624,000
624,000 / 192 = 3,250
Find the area of the figure it says. But I don’t know how? Can somebody explain.
Answer:
Area=120 cm
Step-by-step explanation:
I think for each separate figure you find the area and then add them up to find the total area. The formula to find the area here is length times width or base times height.
First figure: 12 times 5= 60 cm
Second figure=8 times 5=40cm
Together we have 100cm as our area, that might be wrong, look in the comments, thanks for correcting me :)
In a two-digit number, the units digit is two more than the tens
digit. If you add the digits together and multiply the result by 6,
you will get five less than the number with the digits reversed.
Find the original number.
Answer:
35
Step-by-step explanation:
In a two-digit number, the units digit is two more than the tens
digit.
(10x) + (x + 2)
If you add the digits together and multiply the result by 6,
you will get five less than the number with the digits reversed.
(x + (x + 2))(6) = 10(x + 2) + x - 5
(2x + 2)(6) = (10x + 20)+ x - 5
12x + 12 = 11x + 15
x = 3
Original number
(10x) + (x + 2)
(10 * 3) + (3 + 2)
30 + 5
35
There are 20 families living in the Willbrook Farms Development. Of these families, 10 prepared their own federal income taxes for last year, 7 had their taxes prepared by a local professional, and the remaining 3 by H&R Block. a) What is the probability of selecting a family that prepared their own taxes? b) What is the probability of selecting two families, both of which prepared their own taxes?
Answer:
a) 1/2
b) 9/40
Step-by-step explanation:
Given
Total number of families living in Willbrook Farms Development = 20
Number of families preparing their own federal income taxes for last year = 10
Number of families for which taxes were prepared by a local professional = 7
Number of families for which taxes were prepared by H&R Block = 3
a) Probability of selecting a family that prepared their own taxes = 10/20 = 1/2
b) The probability of selecting two families, both of which prepared their own taxes
10/20 * 9/20 = 9/40
Ill give brailiest
.........
Answer:
4.37 inches.
Step-by-step explanation:
4 2/5 = 4.4
4.4 - 0.03 = 4.37
Therefore, it rained 4.37 inches on Tuesday.
Answer: the answer is A (I think but it should be correct)
how will the product of two numbers change if one of the factors is multiplied by (-2)?
PLS HELP MEEEE
Answer:
Depends. See below.
Step-by-step explanation:
Let's take 1*-2 for example. If we multiplied 1 with -2, the resulting product will be negative since it's -2. Now if we did -1*-2, then the resulting product will be positive since it's 2.
Name two acute angles
Find the height of the triangle.
Answer:
4
Step-by-step explanation:
BCD is a right triangle. The Pythagorean Theorem applies; a^2 + b^2 = c^2, with c being the hypotenuse. a^2 + 9 = 25, so a^2 = 16, so a = 4
You are to play the following game of cards. Cards are worth their face value, Jacks, Queens and Kings are also worth 10 and Aces are worth 11. You pull precisely two cards from a standard deck and if their sum is at least 20, then you win the game and are given a prize of cash. It costs you $10 to play the game. At least how much should the prize be in order to make your expected winnings positive
Answer:
$82.875
Step-by-step explanation:
From the given information:
Assume F is used to denote the two cards;
If there are four aces among 52 playing cards, the chance of selecting the first ace is = [tex]\dfrac{4}{52}[/tex]
After selecting the first ace, we have only 3 aces remaining and a total of 51 playing cards. Thus, the chance of selecting the second ace will be [tex]\dfrac{3}{51}[/tex]
By applying product rule, we can determine the chance of selecting two aces without replacement as follows:
i.e.
[tex]P(F=22)=\dfrac{4}{52}\times \dfrac{3}{51}[/tex]
[tex]= \dfrac{1}{221}[/tex]
The probability of getting one ace, one face is:
[tex]P(F=21) =( \dfrac{4}{52}\times \dfrac{12}{51})+( \dfrac{12}{52}\times \dfrac{4}{51})[/tex]
[tex]P(F=21) = \dfrac{4}{221}\times\dfrac{4}{221}[/tex]
[tex]P(F=21) = \dfrac{8}{221}[/tex]
Since there are 4 aces, 4 nine, and 12 faces in a card deck
The probability of getting one ace, one nine, or two faces now will be:
[tex]P(F=20) = (\dfrac{4}{52} \times \dfrac{4}{51})+ (\dfrac{4}{52} \times \dfrac{4}{51}) + (\dfrac{12}{52} \times \dfrac{11}{51})[/tex]
[tex]P(F=20) = (\dfrac{53}{663} )[/tex]
Now, the probability of at least 20 now is:
[tex]\text{P(F at least 20)} = \dfrac{1}{221}+\dfrac{8}{221}+\dfrac{53}{663}[/tex]
[tex]\text{P(F at least 20)} = \dfrac{80}{663}[/tex]
If H represents the amount of prize of the expected winnings:
Then;
[tex](H - 10) (\dfrac{80}{663}) + (-10)(\dfrac{663-80}{663}) = 0[/tex]
[tex]\dfrac{80(H-10)}{663}-\dfrac{5830}{663}=0[/tex]
[tex]\dfrac{80(H-10)}{663}=\dfrac{5830}{663}[/tex]
80H - 800 = 5830
80H = 5830 +800
80H = 6630
H = 6630/80
H = $82.875
The prize should be $82.875 to make a winning positive.
2/5 14.1/9 25/5 what is the improper fraction mixed number and common fraction
Answer:
A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.
Step-by-step explanation:
i did it before
f(2)=
Please help I don’t got time ;-;
Answer:
b
Step-by-step explanation:
h
Please help! Please find the the area of the polygon
Answer:
360 Meters squared
Step-by-step explanation:
60 + 120 + 130 + 50
5
Ginny is baking mince pies.
(a) A recipe says to use 3000 g of mincemeat for 100 pies.
How many grams of mincemeat will she need for 70 pies?
Answer:2100g
Step-by-step explanation:
We can use ratios to solve this:
100 pie : 3000g
1 pie : 30g
70 pie : 2100g
A long-term period of economic recession that leads to a low GDP and very high unemployment is a(n)
A. Trough
B. expansion
C. depression
D. Contraction
Answer:
The answer is C. Depression.
Step-by-step explanation:
Depression is defined as a severe and prolonged recession. Declining economic activity is characterized by falling output and employment levels. Generally, when an economy continues to suffer recession for two or more quarters, it is called depression.
The level of productivity in an economy falls significantly during a depression. Both the GDP (gross domestic product) and GNP (gross national product) show a negative growth along with greater business failures and unemployment. Depressions are relatively less frequent than milder recessions, and tend to be accompanied by high unemployment and low inflation.
What is filtration??
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\pmb{\qquad{\qquad{\qquad{\underline{\green{\underline{\sf{Filtration}}}}}}}}[/tex]
Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Find a domain on which f is one-to-one and non-decreasing.
F(x)=(x-7)^2
Answer:
[tex]x\geq 7\\[/tex]
[tex]x[/tex] ∈ [tex][7,[/tex] ∞ [tex])[/tex]
Step-by-step explanation:
In this problem, one is given the following function,
[tex]f(x)=(x-7)^2[/tex]
The problem asks one to find the interval for which the function is one-to-one and non-decreasing.
A one-to-one function is when every element in the range corresponds to every element in the range. Moreover, no element in the range will correspond to more than one element in the domain. In essence, every input pairs to only one output, and every output pairs to only one input. In a quadratic equation (an equation with a term to the second degree (exponent of (2)), half of the graph will form a one-to-one function. This is because when one has the full graph, for every output there are two inputs. However, with half of the graph, there is only one input for every output. Therefore, a function with a domain of all values less than the (x-coordinate) of the vertex will form a one-to-one function. The same conclusion can be drawn for any value greater than the (x-coordinate) of the vertex.
The given function is in vertex form. This means that one can find the vertex using the given information. The general format for the vertex form of a quadratic equation is as follows,
[tex]y=k(x-h)^2+k[/tex]
Where vertex is the following,
[tex](h,k)[/tex]
Applying this logic here, one can state that the vertex of the given equation ([tex]f(x)=(x-7)^2[/tex]) is as follows,
[tex](7, 0)[/tex]
Since the coefficient of this equation is positive (no coefficient means that it is (1)) outside of it, one can conclude that the graph of the equation is increasing after the (x) value of (7). Therefore, the function is one-to-one and increasing on the interval ([tex]x\geq 7\\[/tex]).
Can someone help me please
Answer:
20 cashiers
Step-by-step explanation:
There is 10 boxes. Each cashier is given 1/2 of one box.
10 multiplied by 2 (which is 20) gives you the amount of cashiers since each one is given one half and there is 20 one halfs in 10.
The aspect ratio (the ratio of screen width to
height) of a rectangular flat-screen television is
16:9. The length of the diagonal of the screen
the television's screen 12c. Determine and wate. to
the nearest inch, the screen size (diagonal) of this
Mat-screen television
with a screen height of 20.6
inches
Answer:
[tex]Width = 36in[/tex]
[tex]Size = 42.02[/tex]
Step-by-step explanation:
Given
[tex]x \to width[/tex]
[tex]y \to height[/tex]
[tex]x : y = 16 : 9[/tex]
Required
The size of [tex]screen[/tex] of height [tex]20,6in[/tex]
First, we calculate the width using the following equivalent ratios
[tex]16: 9 = x : 20.6[/tex]
Express as fraction
[tex]\frac{16}{ 9} = \frac{x }{ 20.6}[/tex]
Solve for x
[tex]x = 20.6 * \frac{16}{ 9}[/tex]
[tex]x = 36.62[/tex]
Hence:
[tex]Width = 36in[/tex] --- approximated
So, we have:
[tex]x = 36.62[/tex]
[tex]y =20.6[/tex]
The size (diagonal) is then calculated using:
[tex]Size = \sqrt{x^2 + y^2[/tex]
[tex]Size = \sqrt{36.62^2 + 20.6^2[/tex]
[tex]Size = \sqrt{1765.3844[/tex]
[tex]Size = 42.02[/tex]
[tex]Size =42in[/tex] --- approximated
Which of the following is a root of the polynomial function below?
F(x) = x+3x2 + 4x+12
Answer:
[tex]\frac{-5-i\sqrt{139}}{6},\ \frac{-5+i\sqrt{139}}{6}}[/tex]
Step-by-step explanation:
When given the following function,
[tex]F(x)=x+3x^2+4x+12[/tex]
One is asked to find the roots. The roots of the equation are the zeros, where the graph of the equation intersects the (x) axis. To find these points on a quadratic equation (equation to the second degree -> the largest exponent in this equation is (2)), one should simplify the equation. Remember, during simplification, one is trying to get the equation of the parabola closets to the quadratic equation in standard form, this form is the following,
[tex]y=ax^2+bx+c[/tex]
After simplifying the equation, one should use the quadratic formula to find the roots of the equation.
------------------------------------
[tex]F(x)=x+3x^2+4x+12[/tex]
Simplify, combine like terms, terms with the same variable to the same degree;
[tex]F(x)=3x^2+5x+12[/tex]
Now use the quadratic formula, the quadratic formula states the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Where the parameters (a), (b, and (c) represent the coefficients of the terms in the quadratic formula in standard form. Substitute in the respective coefficients in the given equation and solve for the roots,
[tex]\frac{-(5)(+-)\sqrt{(5)^2-4(3)(12)}}{2(3)}[/tex]
Simplify,
[tex]\frac{-(5)(+-)\sqrt{(5)^2-4(3)(12)}}{2(3)}\\\\=\frac{-5(+-)\sqrt{25-144}}{6}\\\\=\frac{-5(+-)\sqrt{-139}}{6}\\\\=\frac{-5(+-)i\sqrt{139}}{6}[/tex]
Use the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A
Answer:
See explanation
Step-by-step explanation:
Given
The attached triangle
Required
Complete the ratios
(a) sin B
[tex]\sin(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(B) = \frac{b}{c}[/tex]
(b) cos B
[tex]\cos(B)[/tex] is calculated as:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(B) = \frac{a}{c}[/tex]
(c) tan B
[tex]\tan(B)[/tex] is calculated as:
[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(B) = \frac{b}{a}[/tex]
(d) tan A
[tex]\tan(A)[/tex] is calculated as:
[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(A) = \frac{a}{b}[/tex]
(e) cos A
[tex]\cos(A)[/tex] is calculated as:
[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(A) = \frac{b}{c}[/tex]
(f) sin A
[tex]\ain(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\sin(B) = \frac{a}{c}[/tex]
PLEASE HELP! I tried adding, using square roots, multiplying but still have not got the correct answer. Not sure how I can solve this problem or where to start.
9514 1404 393
Answer:
38.63 m
Step-by-step explanation:
The definition of the perimeter tells you that you need to find the lengths of each of the edges of the figure.
The diagonal edge at left is the hypotenuse of a right triangle with legs 4 and 6. They Pythagorean theorem tells you that length is ...
d = √(4² +6²) = √52 ≈ 7.21 . . . meters
The straight line across the top is marked 9 meters.
The semicircle length is half the circumference of a circle with diameter 6 m. That semicircle length is ...
semicircle length = (1/2)πd = (1/2)(3.14)(6 m) = 9.42 m
The straight bottom edge of the figure is 4+9 = 13 m.
Then the sum of lengths around the figure is ...
7.21 m + 9 m + 9.42 m + 13 m = 38.63 m
The perimeter of the figure rounded to 2 decimal places is 38.63 meters.
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 73.7 miles/hour and a standard deviation of 4.72 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour.
(a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding?
Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.)
(b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding?
(c) What is the standard deviation of the number of cars he would expect to watch?
Answer:
a) 0.2347, 0.0007
b) 1.30
c) 0.63
Step-by-step explanation:
Given –
Mean = 73.4
Sigma = 4.7
Probability that the speed is greater than 70 is
P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653
a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347
The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007
b) E (X) = 1/p = 1/0.7653 = 1.30
c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63
How many servings of vegetables were eaten after October 19th?
O A) 13
OB) 20
OC) 26
OD) 39