Answer:
Step-by-step explanation:
1232 oz flour × (1 loaf)/(12 oz flour) = 102 loaves remainder 8 oz flour
Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. She finds that the proportion of people taking extended vacations nationally is 15%. z equals fraction numerator p with hat on top minus p over denominator square root of begin display style fraction numerator p q over denominator n end fraction end style end root end fraction The z statistic for this data is __________. -0.56 0.45 -0.45 0.56
Answer:
0.56
Step-by-step explanation:
RATIONALE
To make things a little easier, let's first note the denominator
We can now note that
Finally, subbing all in we find
Answer:
0.56
Step-by-step explanation:
The total cost to produce 80 dolls is $1,200. If each doll costs $10 to produce, find the fixed
costs.
Answer:
$\($400\)
Step-by-step explanation:
Total Cost = Fixed + Variable Cost
Variable Cost = $10 × 80 = $800
$1200 = Fixed Cost + $800
Fixed Cost = $1200 - $800
Fixed Cost = $400
the roof of a factory rises vertically 6ft through a horizontal run of 27ft. What is the pitch of the roof?
Answer:
33ft
Step-by-step explanation:
27ft + 6ft =
33ft.
check
Bryson has soccer practice for 2 1/4 hours 2 times a week. How much time does Bryson spend at soccer practice in 1 week?
Answer:
15.75
Step-by-step explanation:
If y +5 is an even integer, which of the following could be the value of y?
-1
2
-2
0
The value of y can be any even integer. The possible values of y are: -2, -4, -6, -8, and 0, 2, 4, 6, 8.
What are odd and even functions?In mathematics, an even function is a function that satisfies the property f(x) = f(-x) for all x in the domain of the function. This means that the value of the function at x is equal to its value at -x. An example of an even function is f(x) = \(x^{2}\), which satisfies f(x) = f(-x) for all x.
An odd function is a function that satisfies the property f(x) = -f(-x) for all x in the domain of the function. This means that the value of the function at x is equal to the negative of its value at -x. An example of an odd function is f(x) = x, which satisfies f(x) = -f(-x) for all x.
If y + 5 is an even integer, then y + 5 must be divisible by 2. This means that y must be divisible by 2 and equal to 2 times an integer. Therefore, the value of y can be any even integer. The possible values of y are: -2, -4, -6, -8, and 0, 2, 4, 6, 8.
Note that if y is negative, then y + 5 will be negative and still be an even integer. If y is 0, then y + 5 will be 5, which is an odd integer, and cannot be the value of y.
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A city council consiste of 8 democrats and 6 republicans. If a committee of 4 people is selected,find the probability of selecting 2 democrats and 2 republicans
Answer:
Step-by-step explanation:
8C2 * 6C2
============
14C4
8C2 = 8*7/1 * 2 = 28
6C2 = 6*5 / 1*2 = 15
14C4 = 14*13 *12 * 11 / (1 * 2 * 3 * 4) = 1001
28 * 15 / 1001 = .4195
A man owns stock valued at $2400. One day the stock drops by 8%, and then gains the same percentage back the next day. How much money is the stock valued at the end of the second day?
If we convert 8% into a decimal we get 0.08,
So,
0.08x2400 = 192
Now we have to subtract $192 since that's how much it dropped.
2400-192 = $2208
Now if we add the same percentage (8%), we do the same thing from step 1.
8/100 = 0.08
2208x0.08 = 176
Now we add,
2208 + 176 = $2384
The Wilson family had 5 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wilson family had
at least 3 girls?
at most 3 girls?
The expression represents the probability of getting exactly 3 heads is,
\(C(n,r)(0.5)^3(0.5)^6\)
We have given
Aron flips a penny 9 times.
We have to determine
Which expression represents the probability of getting exactly 3 heads
What is binomial distribution?The binomial distribution is determined as the probability of mass or discrete random variable which yields exactly some values.
The binomial probability formula shown has variables that represent:
\(=C\left(n,r\right)\times \left(p\right)^r\times\:\left(1-p\right)^{n-r}\)
Where n is the total number of trials (here, we flip penny 9 times, hence n = 9).
r is the number we want to find (here, we want the probability of 3 heads, so r = 3).
p is the probability of success (here, success means getting heads.
So, in a coin flip the probability of heads is always 1/2, so p = 1/2).
Therefore, The expression represents the probability of getting exactly 3 heads is;
\(=C\left(n,r\right)\times \left(p\right)^r\times\:\left(1-p\right)^{n-r}\)
\(=C\left(9,3\right)\times \left(0.5\right)^3\times \:\left(0.5\right)^6\)
Hence, the expression represents the probability of getting exactly 3 heads is \(C\left(9,3\right)\times \left(0.5\right)^3\times \:\left(0.5\right)^6\).
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The probability that the Wilson family had at least 3 girls is 0.5, while the probability that Wilson family had at most 3 girls is 0.8125.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Given the probability of a child being girl is 0.5, therefore, the probability of a child being boy is 0.5. Now, the probability of at least 3 girls out of 5 is,
Probability (x≥3)
= ⁵C₃ (0.5)³(0.5)² + ⁵C₄ (0.5)⁴(0.5)¹ + ⁵C₅(0.5)⁵(0.5)⁰
= 0.5
Probability (x≤3)
= ⁵C₃ (0.5)³(0.5)² + ⁵C₂(0.5)²(0.5)³ + ⁵C₁(0.5)¹(0.5)⁴ + ⁵C₀(0.5)⁰(0.5)⁵
= 0.8125
Hence, the probability that the Wilson family had at least 3 girls is 0.5, while the probability that Wilson family had at most 3 girls is 0.8125.
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For their wedding, Ben and Jen paid $12 for each guest's dinner. The total bill was $2256. How many guests did they have at their wedding?
Answer:
188
Step-by-step explanation:
Very easy and simple division problem. All we need to do is divide the total number (2256) by the amount that they paid (12). This will give us how many people they payed for. The equation looks like this:
2256 ÷ 12 = 188.
If you need to prove this you can do 188 x 12 to find out for yourself. (It also equals 2256 proving the point.)
188 is your answer.
Hope this helps and have a nice day!
Tomas wants to invest $5,000 into a fund with an interest rate of 6% compounded monthly. At the end of 4 years, how much money will there be in the fund? Round your answer to the nearest dollar.
$6355 will be there in the fund
Investment=$5000
Interest rate =6%=0.06
Time = 4years
We need to find how much money will be there in fund
What is compound interest?
A=Pe^rt
A=5000*e^0.06*4
=5000*e^0.24
=5000*1.271
=$6355
Therefore $6355 will be there in the fund
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3. Juan goes to the book fair where paperback books are $6 and hardbackbooks are $8.50. Juan buys four paperback and 3 hardback books. He payswith a $50 bill.3a. Edward wrote the expression below to represent how much changeJuan should get back. However, there is something wrong with his work.Explain the mistake and help Edward fix the expression. *50 - 6 x 4 + 8.5 x 33b. How much change does Juan get back?
The mistake with the expression is that instead of writting
\(-8.5\times3\text{ }\)he wrote
\(8.5\times3\)So the correct expression would be
\(50-6\times4-8.5\times3\)b. Juan should get $0.5 as change
Let z = 9 – 2i and zw = 25 + 70i.
What is w?
1 + 8i
1 – 8i
–1 + 8i
–1 – 8i
Answer:
1+8i
Step-by-step explanation:
Given, complex numbers z = 9 – 2i and zw = 25 + 70i. w = 1 + 8i.
What are complex numbers?In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit, and satisfying the equation i² = −1.
= (9 - 2i)(1 + 8i)
= 9 + 72i - 2i -16i^2
= 9 + 70i + 16 (i^2 = -1)
= 25 + 70i
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A) Find the time tH it takes the projectile to reach its maximum height H.
B) Find tR, the time at which the projectile hits the ground after having traveled through a horizontal distance R.
C) Find H, the maximum height attained by the projectile.
D) Find the total distance R (often called the range) traveled in the x direction; see the figure in the problem introduction.
The Max height H = \(\frac{u^{2} sin^{2} }{2g}\) and the range is R = \(\frac{u* sin2thetha }{2g}\).
What is projectile?Any object sent into space with only gravity acting on it is considered a projectile. Gravity is the main force working on a projectile. This doesn't necessary imply that the other troops don't affect it; it merely means that their impact is far less than that of gravity. A projectile's route is known as its trajectory. When a particle is hurled obliquely near the surface of the earth, it flows along a curved route with constant acceleration directed towards the planet's center (we assume that the particle stays close to the surface). Such a particle's motion is referred to as projectile motion, and its route is a projectile.
(A) Time taken by the projectile to reach its maximum height which will be given as -
using the equation of motion (1), we get
Vy= V0 + a*t
So the Max height H = \(\frac{u^{2} sin^{2} }{2g}\)
And the range is R = \(\frac{u* sin2thetha }{2g}\)
Hence the Max height H = \(\frac{u^{2} sin^{2} }{2g}\) and the range is R = \(\frac{u* sin2thetha }{2g}\).
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What is the area of the sector shown in the diagram below?
Answer:
(B ) . 34.2cm^2
Step-by-step explanation:
\(A = \frac{\alpha }{360} \times \pi r^2\\\alpha=20 \\r = 14\\\\A =\frac{20}{360} \times 22/7\times 14^2\\A = 1/18 \times4312/7\\A =34.2 cm^2\)
can anyone help me out with this one?
Determine whether the following symbolized arguments are valid or invalid by identifying the form of each. In some cases the argument must be rewritten using double negation or commutativity before it has a named form. Those arguments without a specific name are invalid. G ⊃ ∼R G ∼R a. DS—invalid. b. DA—valid. c. MT—valid. d. HS—valid. e. MP—valid.
(a) The argument is invalid.
(b) The argument is valid.
(c) The argument is valid.
(d) The argument is valid.
(e) The argument is invalid.
What are symbolized arguments?
A symbolic argument consists of a set of premises and a conclusion. It is called a symbolic argument because we generally write it in symbolic form to determine its validity. An argument is valid when its conclusion necessarily follows from a given set of premises.
a. The argument is invalid. It has the form of Denial of the Antecedent (DA), which is a fallacious form of argument. The form of an argument is the pattern of the logical structure of the argument, not the content of the argument.
b. The argument is valid. It has the form of Modus Tollens (MT), which is a valid form of argument. In this form, if the consequent of a conditional statement (the part after the "if" or "⊃") is denied, then the antecedent (the part before the "if" or "⊃") must also be denied.
c. The argument is valid. It has the form of Hypothetical Syllogism (HS), which is a valid form of argument. In this form, if two conditional statements are given, and the antecedent of the first is the consequent of the second, then the consequent of the first can be inferred.
d. The argument is valid. It has the form of Modus Ponens (MP), which is a valid form of argument. In this form, if the antecedent of a conditional statement is true and the conditional statement itself is true, then the consequent of the conditional statement must also be true.
e. The argument does not have a specific named form and is therefore invalid.
Hence, We have determined whether the statements are valid or not.
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please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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suppose that a population parameter is .7 and many samples were taken. if the size of each sample is 30 what is the standard error
The standard error is 0.0912.
The standard error (SE) is a measure of the precision of the sample mean estimate compared to the true population mean. To calculate the SE, we use the formula SE = standard deviation / square root of sample size.
In this scenario, the population parameter is 0.7, and the sample size is 30. If we assume that the sample mean is an unbiased estimator of the population mean, then the SE can be calculated using the above formula. However, we do not know the standard deviation of the population, so we use the sample standard deviation as an estimate.
Assuming the sample is large enough to assume normality, the formula becomes SE = \(\sqrt{(0.7*0.3)/30}\) = 0.0912. Therefore, the standard error for a sample size of 30 is 0.0912. This means that if we were to take multiple samples of size 30 from the same population, the standard deviation of the means of those samples would be around 0.0912 away from the population parameter of 0.7 on average.
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Help me with math 69 POINTS
Answer:
expression on the right
Step-by-step explanation:
In a wind tunnel experiment; the force on a projectile due to air resistance was measured at different velocities: Velocity (100 ftlsec) 0 2 4 6 8 10Force (100 Ib) 0 2.8 14 38. 74.4 128Find an interpolating polynomial for these data It is highly recommended that you use software or a calculator. F(v) = ____ Use the polynomial to estimate the force on the projectile when it is traveling at 750 ftlsec:
The estimated force on the projectile when it is traveling at 750 ft/sec is approximately 696.7 lbs.
The Possible Interpolating PolynomialOne possible interpolating polynomial for these data points is a polynomial of degree 3, also known as a cubic polynomial. Using software or a calculator to fit a cubic polynomial to the data points, the resulting equation is:
F(v) = -0.00000016v³ + 0.0004v² - 0.08v + 0.4
To estimate the force on the projectile when it is traveling at 750 ft/sec, we can substitute 750 for v in the equation above:
F(750) = -0.00000016(750³) + 0.0004(750²) - 0.08(750) + 0.4
F(750) ≈ 696.7
The estimated force on the projectile when it is traveling at 750 ft/sec is approximately 696.7 lbs.
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I need help with this
Heres another math question! Please no links, and dont answer if you dont have an answer or I will report!
hope you have an amazing day lovely! <3
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Graph the following equation -3y+6x+=6
Answer:
Step-by-step explanation: Here's a step-by-step guide on how to graph the equation -3y + 6x = 6:
Isolate y: To isolate y, first subtract 6x from both sides of the equation: -3y + 6x = 6 => -3y = -6x + 6.
Divide both sides of the equation by -3: Dividing both sides of the equation by -3, we get: -3y / -3 = (-6x + 6) / -3.
Simplify the equation: On simplifying the equation, we get: y = 2x - 2.
Plot the y-intercept: The y-intercept of the equation is when x = 0. So, when x = 0, y = 2 * 0 - 2 = -2. This point is (0, -2). Plot this point on the graph.
Plot a second point: Pick a value of x and plug it into the equation to find the corresponding y value. For example, let's take x = 1. Plugging x = 1 into the equation, we get y = 2 * 1 - 2 = 0. This point is (1, 0). Plot this point on the graph.
Draw the line: Connect the two points plotted on the graph. This line represents the solution set of the equation.
That's it! You have successfully graphed the equation -3y + 6x = 6.
Answer:
Step-by-step explanation:
Solve....3(x+3)=-4x+30
Answer:
x=3
Step-by-step explanation:
Hey there!
In order to solve this equation, we must first distribute the 3
3x + 9 = -4x + 30
Now we combine like terms
7x = 21
Then we divide both sides by 7 to get x by itself
x = 21/7
x = 3
Answer: x=3
Step-by-step explanation:
To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.
3(x+3)=-4x+30 [distribute]
3x+9=-4x+30 [add both sides by 4x]
7x+9=30 [subtract both sides by 9]
7x=21 [divide both sides by 7]
x=3
Therefore, we get x=3.
Please help me!!!
Find the measure of angle x in the figure below:
Answer:
Step-by-step explanation:
Help me please (NO LINKS )
Answer:
Hey! Finally found a question of yours!
Step-by-step explanation:
1. A=9
2. A=12
3. A=21
4. A=15
5. A=7
6. A=5
7. A=20.8
8. A=48
9. A=0.25
p + 1/4 (is less than or equal to) 2
Answer:
p ≥ 7/4
Step-by-step explanation:
Someone be a g and answer this!
Tara is spinning a fair spinner labeled 1 - 4. She spins it twice.
What is the probability of spinning a 1, then a number higher than 2?