answer:
a. $5.49
explanation:
1.5 yd x $7.32 = $10.98
$10.98/ 2 people = $5.49
Answer: A. $5.49
Step-by-step explanation:answer:
explanation:
1.5 yd x $7.32 = $10.98
$10.98/ 2 people = $5.49
If Kevin puts 32 toy cars in front of every window in his house and his house has 22 Windows how many cars did he place?
Answer:
704
Step-by-step explanation:
multiply 32 and 22 and you will get 704
hope this helps
You are applying for jobs at two companies. Company A offers starting salaries with $$ \mu = $31,000 $$ and $$ \sigma = $1000 $$ . Company B offers starting salaries with $$ \mu = $31,000 $$ and $$ \sigma = $5000 $$ . From which company are you more likely to get an offer of $33,000 or more? Explain your reasoning.
As a result, Company B is more likely to make you an offer of $33,000 or more than Company A.
What is standard deviation?The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
Here,
To determine which company you are more likely to receive an offer of $33,000 or more, we need to look at the standard deviations of each company's starting salary. Company B has a standard deviation of $5000, which is 5 times greater than Company A's standard deviation of $1000. This means that the salaries offered by Company B are spread out over a larger range, with a higher chance of extreme values.
We can calculate the z-score for an offer of $33,000 from each company using the formula:
z = (x - μ) / σ
For Company A:
z = ($33,000 - $31,000) / $1000 = 2
For Company B:
z = ($33,000 - $31,000) / $5000 = 0.4
A z-score of 2 for Company A indicates that an offer of $33,000 is 2 standard deviations above the mean, which is relatively rare. On the other hand, a z-score of 0.4 for Company B indicates that an offer of $33,000 is only 0.4 standard deviations above the mean, which is much more likely.
Therefore, you are more likely to receive an offer of $33,000 or more from Company B than Company A.
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a cylinder has a radius of 5mm and a height of 8mm. what is the volume in terms of pi.
The volume of the given cylinder is 400π cubic millimeter.
Given that, a cylinder has a radius of 5 mm and a height of 8 mm.
We know that, the volume of a cylinder is πr²h.
Here, volume = π×5²×8
= π×25×8
= 400π
Therefore, the volume of the given cylinder is 400π cubic millimeter.
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Find the volume of the pyramid, Write your answer as a fraction or mixed number.
Length(l) of rectangular pyramid = 2ft.
Width(w) of the rectangular pyramid = 1ft.
Hight(h) of the rectangular pyramid = 2ft.
Formula Used:-Volume of Rectangular Pyramid = \(\sf{\frac{1}{3}×Length×Width×Hight}\)
Solution:-➾\(\sf{\frac{1}{3}×l×w×h}\)(putting the value of l, w and h from above.)
➾\(\sf{\frac{1}{3}×2×1×2}\)
➾\(\sf{\frac{1}{3}×4}\)
➾\(\sf{\frac{4}{3}}\)
Therefore, volume of the given rectangular pyramid = \(\sf{\frac{4}{3} ft^3}\).
And it can be rewritten in the form of mixed fraction as \(\sf{\frac1{1}{3} ft^3}\).
2. The following set of count readings was made in a gradient-free γ-ray field, using a suitable detector for repetitive time periods of one minute: 18,500;18,410; 18,250;18,760;18,600;18,220;18,540;18,270;18,670;18,540. (a) What is the mean value of the number of counts? (b) What is its standard deviation (S.D.)? (c) What is the theoretical minimum S.D. of the mean? (d) What is the actual S.D. of a single reading? (e) What is the theoretical minimum S.D. of a single reading?
The inflection point of f(t) is approximately t = 3.73.
(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.
Taking the derivative of f(t), we have:
f'(t) = -1.275t^2 + 9.516t + 6.741
To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:
-1.275t^2 + 9.516t + 6.741 = 0
Using the quadratic formula, we find two possible values for t:
t ≈ 0.94 and t ≈ 6.02
Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).
For t < 0.94, choose t = 0:
f'(0) = 6.741 > 0
For 0.94 < t < 6.02, choose t = 1:
f'(1) ≈ 14.982 > 0
For t > 6.02, choose t = 7:
f'(7) ≈ -5.325 < 0
From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).
(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.
Taking the second derivative of f(t), we have:
f''(t) = -2.55t + 9.516
Setting f''(t) = 0 and solving for t, we find:
-2.55t + 9.516 = 0
t ≈ 3.73
Therefore, The inflection point of f(t) is approximately t = 3.73.
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At the Junior Olympics, Jacob ran the 500-yard
dash in 80 seconds. Juan's time for the same
distance was t seconds less than Jacob's.
Which expression would accurately calculate
Juan's time?
The Time taken by Jacob to run the dash race is (80 - t) seconds
How to write algebraic expressions?We are told that;
Total distance for the dash race = 500 yards
Time taken by Jacob to run the dash race = 80 seconds
Now, we are told that Juan ran the same dash race but used t less seconds than Jacob. Thus;
Time taken by Jacob to run the dash race = (80 - t) seconds
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A company offers a nut mixture with 4 peanuts for every 3 almonds. The company changes the mixture to have 8 peanuts for every 3 almonds, but the number of nuts per container does not change. How many nuts are in the smallest possible container?
Answer:
77 nuts
Step-by-step explanation:
From the above question:
We have ratio
Peanuts : Almonds
The original mixture is given as:
A company offers a nut mixture with 4 peanuts for every 3 almonds.
4 : 3
The sum of the proportion = 7
Hence, there are 7 nuts in the container
The new mixture
The company changes the mixture to have 8 peanuts for every 3 almonds,
8 : 3
Sum of the proportion = 11
We are told : the number of nuts per container does not change.
How many nuts are in the smallest possible container?
To solve this, we use the Lowest Common Multiple principle
We find the L. C. M of 7 and 11
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91
Multiples of 11:
11, 22, 33, 44, 55, 66, 77, 88, 99
Therefore,
LCM(7, 11) = 77
Therefore, the number of nuts in the smallest possible container is 77 nuts
when the angle of an incline with a block resting on it increases the normal support force? A) decreases B) increases C) stays the same
Answer:
normal force decreases
Step-by-step explanation:
N=mgcosθ, and cosine decreases as theta increases
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Answer:
A) decreases
Step-by-step explanation:
As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.
A line passes through the point (-8, 3) and has a slope of 5/4. Write an equation in point-slope form for this line.
calories in school lunches: a university of florida economist conducted a study of virginia elementary school lunch menus. during the state-mandated testing period, school lunches averaged 863 calories. (national bureau of economic research, november 2002.) the economist claimed that after the testing period end, the average caloric content of virginia school lunches dropped significantly.. Set up the null and alternative hypothesis to test the economist's claim
The null and alternative hypothesis test the economist's claim is-
H₀: u = 863 ,H₁: u < 863
What is hypothesis test?
A applied math hypothesis test may be a technique of applied math abstract thought accustomed decide whether or not the info at hand sufficiently support a selected hypothesis. Hypothesis testing permits us to create probabilistic statements regarding population parameters.
Main body:
Let ц =average calories of virginia school lunches
The average calories in the school lunch is 863
Here the economists claims that after the testing period ends, the average caloric content in the lunches were dropped
The null hypothesis is H₀ц = 863
Means H₀ ;The average caloric content in the school lunch is 863
The alternative hypothesis is H₁ц <863
Hence , H₁; the average caloric content in the lunches was dropped.
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Nick has a 6-digit code. He remembers it as three 2-digit numbers. The first number is between 10 and 20 The second number is 3 times the first number. The third number is 5 times the first number. All six digits are different. Work out the code.
Step-by-step explanation:
12 36 60 no
13 39 no
14 42 no
15 45 no
16 48 80 no
17 51 no
18 54 90 yes
19 57 95 no
By trial and error 18 54 90 is the combo
Answer:
The code is 152754.
Step-by-step explanation:
In the family tree below, people with the recessive trait of attached earlobes
are shaded gray.
1.
II.
What is true about the person labeled "A"?
A. It is a female with one recessive allele.
B. It is a male with one recessive allele.
C. It is a male with two recessive alleles.
D. It is a female with two recessive alleles.
Answer:
D
Step-by-step explanation:
The correct answer is a male with one recessive allele.
What is recessive allele?The person labelled X is not shaded, as can be seen from the pedigree, hence it cannot bear the alleles rr. As a result, the individual is heterozygous, carrying both a dominant and a recessive allele.
here, we have,
Explanation:
As we can see, a homozygous recessive parent and a heterozygous parent are crossed to produce the offspring.
These are the results of such a cross:
r r
R Rr Rr
r rr rr
The results of the cross indicate that the progeny from such a hybrid will either be heterozygous dominant with unattached ear lobes or they will have both recessive alleles with attached ear lobes.
The person labelled X is not shaded, as can be seen from the pedigree, hence it cannot bear the alleles rr. As a result, the individual is heterozygous, carrying both a dominant and a recessive allele.
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complete question:
Attached earlobes are a recessive trait in humans. In the tree below, people
I with attached earlobes are shaded in. Which best describes the person
labeled X in the tree?
A. A male with one recessive allele
B. A female with one recessive allele
C. A male with no recessive alleles
D. A female with no recessive alleles
Simplify: 9y(-3y to the eighth power)
Find the exact value of cos J in simplest form.
√29
14
15
H
The cosine of angle J is given as follows:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:
Sine = length of opposite side/length of hypotenuse.Cosine = length of adjacent side/length of hypotenuse.Tangent = length of opposite side/length of adjacent side = sine/cosine.For the angle J in this problem, we have that:
4 is the adjacent side.\(\sqrt{98}\) is the hypotenuse.Hence the cosine of angle J is given as follows:
\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)
\(\cos{J} = \frac{4\sqrt{98}}{98}\)
\(\cos{J} = \frac{2\sqrt{98}}{49}\)
As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
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What number to the power of three is 500000?
The number that, when raised to the power of three, equals 500000 is approximately 100.
To find this number, we can use the cube root function:
x^3 = 500000
x = cube root of (500000)
x = approximately 100
So, the number that, when raised to the power of three, equals 500000 is approximately 100.
Please answer in detail Determine whether the following statement is True, False, or Uncertain, and explain your answer. Statement: Flexible exchange rates ...
The statement "Flexible exchange rates ..." is incomplete, and without further clarification, it is uncertain to determine whether it is true or false. A complete statement is required to provide a clear context for discussing the nature and implications of flexible exchange rates.
Flexible exchange rates refer to a system in which currency exchange rates are determined by market forces, such as supply and demand. Under this system, exchange rates fluctuate freely based on various economic factors, including inflation rates, interest rates, trade balances, and investor sentiment.
Flexible exchange rates offer advantages such as the ability to adjust to changing economic conditions and promote trade balance adjustments. They can also help absorb external shocks and enhance monetary policy autonomy. However, they may also introduce volatility and uncertainty in international trade and investment. To assess the accuracy of the statement, additional information or context is needed.
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Find the area of the figure. A. 24.3 ft2 B. 38.1 ft2 C. 48.6 ft2 D. 35.7 ft2
The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet
How to determine the area?The figure is a triangle with the following parameters:
Base = 20
Height = 4.86
The area of a triangle is:
Area = 0.5 * Base * Height
So, we have:
Area = 0.5 * 20 * 4.86
Evaluate
Area = 48.6
Hence, the calculated area is 48.6 square feet
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An object accelerates from rest at 10m/s2 for 20s. Calculate the velocity reached.
Answer:
400 m/s
Step-by-step explanation:
u=0 m/s
t=20 s
a=20 m/s²
v=u+at
=0+20×20
=400 m/s
I have 2/3 L (litre) of liquid detergent. I ued 3/4 of thi to wah my heet on the weekend. How much liquid detergent do I have left?
Liquid detergent do I have left is 8/9.
What is detergent ?
When washing items like clothing or dishes, detergent is a chemical compound that is often in the form of a powder or liquid. Alternatives include washing liquid, soap powder, and cleaner. More detergent synonyms. More detergent synonyms.
I have 2/3 L (litre) of liquid detergent. I ued 3/4 of thi to wah my heet on the weekend.
\(\frac{\frac{2}{3}}{\frac{3}{4}}$$\)
Apply the fraction rule: \($\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a \cdot d}{b \cdot c}$\)
\(=\frac{2 \cdot 4}{3 \cdot 3}$$\)
Multiply the numbers: 2-4=8
\(=\frac{8}{3 \cdot 3}$$\)
Multiply the numbers: 3-3=9
\(=\frac{8}{9}$$\)
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Compute the sv for game
w=u+v= {w1,w2,w3,w12,w13,w23.w123 }={1,0,0,3.64,2.7,0.3,4}
The sum of squares for the game, computed by squaring each value and summing them up, is approximately 37.6296.
To compute the sum of squares for the game, we square each value in the set and then add them up. In this case, we have the values {1, 0, 0, 3.64, 2.7, 0.3, 4}. Squaring each value gives us {1, 0, 0, 13.2496, 7.29, 0.09, 16}. Adding up these squared values results in a sum of squares of approximately 37.6296. This value represents the total variability or dispersion of the game outcomes. It can be used to assess the spread or distribution of the values and to compute other statistical measures such as variance and standard deviation.
The sum of squares for the game is a measure of the total variability in the game outcomes. It quantifies the dispersion of the values and can be used in statistical analysis to assess the spread and calculate other descriptive statistics.
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Bill is walking up the steps in the Washington Monument at a rate of 30 feet per minute and Joe is walking down at the rate of 45 feet per minute. Bill is 75 feet from the bottom at the same moment that Joe is 325 feet from the bottom. Which of the following systems of equations can be used to determine the number of minutes t, from now and height, ℎ (in feet), at which they will pass each other?
The equation that can be used to determine the number of minutes t, from now and height, ℎ (in feet), at which they will pass each other is 75t = h.
What is the time taken for them to pass each other?The time taken for them to pass each other is calculated as follows;
Apply the rules of relative velocity;
(V₂ - V₁)t = h
where;
V₂ is the velocity of the BillV₁ is the velocity of the Joet is the time taken for them to meeth is the distance between them(30 ft/min - ( -45 ft/min )t = h
75t = h
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7 cm Find the circumference of the circle pictured above. Use 3.14 for π
Answer:
43.982297cm
Step-by-step explanation:
hope that helps
have a great day/night
19NBoli
Step-by-step explanation:
if ur radius is 7cm
then
circum of a circle =2pi r
2×3.14×7=43.96
Kris drove 92 miles from La Verne to Encinitas and used only 4 gallons of gas. What is the unit rate (miles per gallon)
wait
am writing answer Step-by-step explanation:
Answer:
23 miles per gallon
Step-by-step explanation:
92/4=23
Which student solved the equation 107 d = 1,733.4 correctly?
Gianna's work: 107 d = 1,733.4. 1,733.4 times 107 = 185,473.8.
Teddy's work: 107 d = 1,733.4. 1,733.4 minus 107 = 1,626.4.
Sid's work: 107 d = 1,733.4. 1,733.4 + 107 = 1,880.4.
Sammi's work: 107 d = 1,733.4. 1,733.4 divided by 107 = 16.2.
Answer:
Sammis work is correct
Step-by-step explanation:
when handling equations such as 107d= 1,733.4
you see that d is being multiplied to 107 to equal the total,
so to find the answer to d you would divide 107 by the total to get your value of d
Answer:the last one
Step-by-step explanation:
In a dice game, you win if the two dice come up 10 or higher. Otherwise, you lose $1. What should be the profit for winning to make this game fair?.
The profit for winning should be $23/13 to make this game fair.
The formula used, Expected Value = Sum of (Value * Probability)Profit of winning to make the game fair
The expected value of the game is equal to zero, to make the game fair.
The probability of winning in a dice game is the number of outcomes that result in the win over the total number of possible outcomes.
The total number of outcomes in rolling two dice is 6 × 6 = 36.
The number of outcomes that result in a win is found by using the following table.
The sums greater than or equal to 10 are colored green, and the remaining sums are colored red.
Using the table, we can see that the number of outcomes that result in a win is 13.
The probability of winning is 13/36.
The probability of losing is 1 − 13/36 = 23/36.
Let p be the profit from winning the game.
If you win, you receive p dollars.
If you lose, you pay $1.
The expected value of the game is:
p(13/36) − 1(23/36) = 0p(13/36)
= 23/36p = (23/36) / (13/36)p
= 23/13
So, the profit for winning should be $23/13 to make this game fair.
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What is the sum for 6+5
Answer:
11
Step-by-step explanation:
Answer: 11
Step-by-step explanation:
6+5=11
(sum means addition)
Hope this helps! :)
Can someone answer this question really quick
The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
1. Gain 25x yards.
2. Gain 0.9y yards.
3. Lose 12y yards.
4. Lose 5.2x yards.
What is the net yardage for these four plays?
Enter your answer as an expression, like this: 42x+53y
The expression that represents the net yardage for these plays is given as follows:
19.8x - 11.1y.
How to obtain the net yardage?The net yardage is given by the sum of all yards gained for the sum of all yards lost.
For example, if Josh Allen passes for 350 yards but loses 20 yards on sacks, his net yardage is given as follows:
350 - 20 = 330 yards.
Then the expression that gives the total net yardage for this problem is given as follows:
25x + 0.9y - 12y - 5.2x.
The expression can be simplified combining the like terms, as follows:
25x - 5.2x + 0.9y - 12y.
(25 - 5.2)x + (0.9 - 12)y
19.8x - 11.1y.
(as combining the like terms means that all the terms with the same letter and same exponent are added/subtracted).
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A football player runs from his team’s 9 yard line to his team’s 44- yard line in 7 seconds. Find the player’s average speed in yards per second ?
Answer:
5 Yards per second
Step-by-step explanation:
He starts at 9 ends on 44 so:
44-9 to find his distance ran.
35 is the distance and he ran in 7 seconds.
35/7 to find the yards per second.
35/7=5
Player A throws the ball to Player
B who then throws the ball the
Player C. How Far did the ball
travel given each player's position
indicated below?
Round to the nearest hundredth.
Player A: (2, 4)
Player B: (16, 9)
Player C: (25, 16)
The ball traveled approximately \(26.27\) units in total.
To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.
Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)
Let's calculate the distance between Player A and Player B first:
Distance_AB =
\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)
\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)
Now, let's calculate the distance between Player B and Player C:
Distance_BC =
\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)
Finally, we can calculate the total distance traveled by adding the distances AB and BC:
Total distance = Distance_AB + Distance_BC
\(= 14.87 + 11.40 \\= 26.27\)
Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.
Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.
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Find z such that 5. 1% of the standard normal curve lies to the left of z. (round your answer to two decimal places. ) a button hyperlink to the salt program that reads: use salt. Z
To find the value of z such that 5.1% of the standard normal curve lies to the left of it, we can use a standard normal distribution table or a calculator with a normal distribution function.
Using a calculator, we can input the following:
normalcdf(-9999, z, 0, 1) = 0.051
Where -9999 represents negative infinity (since the standard normal distribution extends infinitely in both directions) and 0 and 1 are the mean and standard deviation of the standard normal distribution, respectively.
Solving for z, we get:
z = invNorm(0.051) ≈ -1.64
Therefore, approximately 5.1% of the area under the standard normal curve lies to the left of z = -1.64.
As for the "SALT" program, I'm not sure what that is or how it relates to the question. Can you provide more context or information?
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