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There are 13 apples in a basket. 4 of these apples are green. The rest are red. what is the ratio?​
There are 13 apples in a basket. 4 of these - 1

Answers

Answer 1
Answer:

Answer:

9:4 4:13

Step-by-step explanation:
Answer 2
Answer:

Answer:

a) 9:4  b) 13 : 9

Step-by-step explanation:

13 = total

4 = green

13-4   ( which Is 9) = red

Ratio of red apples to green apples?

9:4

RATIO of all apples to red

13: 9

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. Click on the datafile logo to reference the data.
6 4 6 8 7 7 6 3 3 8 10 4 8
7 8 7 5 9 5 8 4 3 8 5 5 4
4 4 8 4 5 6 2 5 9 9 8 4 8
9 9 5 9 7 8 3 10 8 9 6
Develop a 95% confidence interval estimate of the population mean rating for Miami. If required, round your answers to two decimal places. Do not round intermediate calculations.

Answers

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

CI=\bar x\pm t_(\alpha/2, (n-1))\cdot\ (s)/(√(n))

The sample selected is of size, n = 50.

The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:

t_(\alpha/2, (n-1))=t_(0.05/2, 49)=2.000

*Use a t-table.

Compute the sample mean and sample standard deviation as follows:

\bar x=(1)/(n)\sum {x}=(1)/(50)* [6+4+6+...+9+6]=6.34\n\ns=\sqrt{(1)/(n-1)\sum (x-\bar x)^(2)}=\sqrt{(1)/(50-1)* 229.22}=2.163

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

CI=\bar x\pm t_(\alpha/2, (n-1))\cdot\ (s)/(√(n))

     =6.34\pm 2.00*(2.163)/(√(50))\n\n=6.34\pm 0.612\n\n=(5.728, 6.952)\n\n\approx(5.7, 7.0)

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

Please help a homie out

Answers

Answer:

TUW=VUW

Step-by-step explanation:

Answer:

Option 3: Angle TUV = angle VUW

Step-by-step explanation:

(1 point) For the given position vectors r(t)r(t), compute the (tangent) velocity vector r′(t)r′(t) for the given value of tt . A) Let r(t)=(cos4t,sin4t)Let r(t)=(cos⁡4t,sin⁡4t). Then r′(π4)r′(π4)= ( , )? B) Let r(t)=(t2,t3)Let r(t)=(t2,t3). Then r′(5)r′(5)= ( , )? C) Let r(t)=e4ti+e−5tj+tkLet r(t)=e4ti+e−5tj+tk. Then r′(−5)r′(−5)= i+i+ j+j+ kk ?

Answers

Answer:

(a)

r'(\frac \pi 4) =(0.-4)

(b)

r'(5)= (10,75)

(c)

r'(-5) =4 e^(-20)\hat i-5e^(25)\hat j+\hat k

Step-by-step explanation:

(a)

Give that,the position vector is

r(t) = (cos 4t, sin 4t)

Differentiating with respect to t

r'(t) = (-4sin 4t, 4 cos 4t)    [(d)/(dt) cos mt = -m \ sin \ mt  and   (d)/(dt) sin mt = m \ cos \ mt]

To find the r'(\frac\pi 4), we put t=\frac \pi4

r'(\frac\pi 4) = (-4sin (4.\frac \pi 4), 4 cos (4.\frac \pi 4))

        =(0, -4)

(b)

Give that,the position vector is

r(t) = (t²,t³)

Differentiating with respect to t

r'(t) = (2t, 3t²)

To find r'(5) ,  we put t=5

r'(5) = (2.5,3.5²)

      = (10,75)

(c)

Given position vector is

r(t) = e^(4t)\hat i+e^(-5t)\hat j+t\hat k

Differentiating with respect to t

r'(t) =4 e^(4t)\hat i+(-5)e^(-5t)\hat j+\hat k

\Rightarrow r'(t) =4 e^(4t)\hat i-5e^(-5t)\hat j+\hat k

To find r'(-5) ,  we put t= - 5 in the above equation

r'(-5) =4 e^(4.(-5))\hat i-5e^(-5.(-5))\hat j+\hat k

\Rightarrow r'(-5) =4 e^(-20)\hat i-5e^(25)\hat j+\hat k

For the given position vectors r(t)r(t), compute the (tangent) velocity vector r′(t)r′(t) for the given value of tt  are:

A) r' (\pi /4) = (0, -4) \nB) r'(5) = (10, 75)\nC) r'(-5) = (4e^(-20), -5e^(25), 1)

To compute the velocity vector, we need to find the derivative of the position vector with respect to time (t). This will give us the tangent velocity vector.

A) Let r(t) = (cos⁡4t, sin⁡4t).

To find r'(t), we take the derivative of each component with respect to t:

r'(t) = (d/dt (cos⁡4t), d/dt (sin⁡4t))

r'(t) = (-4sin⁡4t, 4cos⁡4t)

To find r'(π/4), we substitute t = π/4 into r'(t):

r'(π/4) = (-4sin⁡(4(π/4)), 4cos⁡(4(π/4)))

r'(π/4) = (-4sin⁡π, 4cos⁡π)

r'(π/4) = (0, -4)

B) Let \ r(t) = (t^2, t^3).

To find r'(t), we take the derivative of each component with respect to t:

r'(t) = (d/dt (t^2), d/dt (t^3))\nr'(t) = (2t, 3t^2)

To find r'(5), we substitute t = 5 into r'(t):

r'(5) = (2(5), 3(5)^2)\nr'(5) = (10, 75)

C) Letr(t) = e^(4t)i + e^(-5t)j + tk.

To find r'(t), we take the derivative of each component with respect to t:

r'(t) = (d/dt (e^(4t)), d/dt (e^(-5t)), d/dt (t))]\n\nr'(t) = (4e^(4t)), -5e^(-5t), 1)

To find r'(-5), we substitute t = -5 into r'(t):

r'(-5) = (4e^(4{-5}), -5e^(-5(-5)), 1) \n\nr'(-5) = (4e^(-20), -5e^(25), 1)

So, the answers are:

A) r' (\pi /4) = (0, -4) \nB) r'(5) = (10, 75)\nC) r'(-5) = (4e^(-20), -5e^(25), 1)

To know more about vectors:

brainly.com/question/33923402

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1. Consider the following hypotheses:H1 : ∃x (p(x) ∧ q(x)) H2 : ∀x (q(x) → r(x))
Use rules of inference to prove that the following conclusion follows from these hypotheses:
C : ∃x (p(x) ∧ r(x))
Clearly label the inference rules used at every step of your proof.

2. Consider the following hypotheses:
H1 : ∀x (¬C(x) → ¬A(x)) H2 : ∀x (A(x) → ∀y B(y)) H3 : ∃x A(x)
Use rules of inference to prove that the following conclusion follows from these hypotheses:
C : ∃x (B(x) ∧ C(x))
Clearly label the inference rules used at every step of your proof.

3. Consider the following predicate quantified formula:
∃x ∀y (P (x, y) ↔ ¬P (y, y))
Prove the unsatisfiability of this formula using rules of inference.

Answers

Answer:

See deductions below

Step-by-step explanation:

1)

a) p(y)∧q(y) for some y (Existencial instantiation to H1)

b) q(y) for some y (Simplification of a))

c) q(y) → r(y) for all y (Universal instatiation to H2)

d) r(y) for some y (Modus Ponens using b and c)

e) p(y) for some y (Simplification of a)

f) p(y)∧r(y) for some y (Conjunction of d) and e))

g) ∃x (p(x) ∧ r(x)) (Existencial generalization of f)

2)

a) ¬C(x) → ¬A(x) for all x (Universal instatiation of H1)

b) A(x) for some x (Existencial instatiation of H3)

c) ¬(¬C(x)) for some x (Modus Tollens using a and b)

d) C(x) for some x (Double negation of c)

e) A(x) → ∀y B(y) for all x (Universal instantiation of H2)

f)  ∀y B(y) (Modus ponens using b and e)

g) B(y) for all y (Universal instantiation of f)

h) B(x)∧C(x) for some x (Conjunction of g and d, selecting y=x on g)

i) ∃x (B(x) ∧ C(x)) (Existencial generalization of h)

3) We will prove that this formula leads to a contradiction.

a) ∀y (P (x, y) ↔ ¬P (y, y)) for some x (Existencial instatiation of hypothesis)

b) P (x, y) ↔ ¬P (y, y) for some x, and for all y (Universal instantiation of a)

c) P (x, x) ↔ ¬P (x, x) (Take y=x in b)

But c) is a contradiction (for example, using truth tables). Hence the formula is not satisfiable.

Kenny reads 56pages in 23minutes, How many pages per 1 minute?

Answers

56/23= 2.43 or 2 pages per 1 minute

A car travels 85 miles on 5 gallons of gas. Give the ratio of miles to gallons as a rate in miles per gallon.

Answers

Answer: Set up the ratio as a fraction and divide by the gallons. 90/5 = 18/1 The ratio is 18 miles/gallon.
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