At the end of may,mrs.freeman had a bank account balance of $442.37 since then,she has written a check for $63.92 and made a depoist of $350.000.Mrs freeman says she has $729.45 in her bank account. Make a table to determine if Mrs.freeman is correct.

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

We want to solve for x.

We take numbers to one side and variables to another:

Now we isolate x by dividing both sides by (7/20). Remember dividing by a fraction means multiplying by its reciprocal. Thus,

Answer:

A and d

Step-by-step explanation:

because x has a 1 in front of them so add the 3'x and get 3x+2

Answer:

The correct answer is option a.

a. 5( √3+ 1 )

Step-by-step explanation:

Given that the angle changes from 45° to 60° in 10 minutes.

This situation can be represented as right angled triangles \(\triangle\)ABC (in the starting when angle is 45°)and \(\triangle\)ABD (after 10 minutes when the angle is 60°).

AB is the tower (A be its top and B be its base).

Now, we need to find the time to be taken to cover the distance D to B.

First of all, let us consider \(\triangle\)ABC.

Using tangent property:

\(tan\theta =\dfrac{Perpendicular}{Base}\\\Rightarrow tan 45=\dfrac{AB}{BC}\\\Rightarrow 1=\dfrac{h}{BC}\\\Rightarrow h = BC\)

Using tangent property in \(\triangle\)ABD:

\(\Rightarrow tan 60=\dfrac{AB}{BD}\\\Rightarrow \sqrt3=\dfrac{h}{BD}\\\Rightarrow BD = \dfrac{h}{ \sqrt3}\ units\)

Now distance traveled in 10 minutes, CD  = BC - BD

\(\Rightarrow h - \dfrac{h}{\sqrt3}\\\Rightarrow \dfrac{(\sqrt3-1)h}{\sqrt3}\)

\(Speed =\dfrac{Distance }{Time}\)

\(\Rightarrow \dfrac{(\sqrt3-1)h}{10\sqrt3}\)

Now, we can say that more distance to be traveled to reach the base of tower is BD i.e. '\(\bold{\dfrac{h}{\sqrt3}}\)'

So, more time required = Distance left divided by Speed

\(\Rightarrow \dfrac{\dfrac{h}{\sqrt3}}{\dfrac{(\sqrt3-1)h}{10\sqrt3}}\\\Rightarrow \dfrac{h\times 10\sqrt3}{\sqrt3(\sqrt3-1)h}\\\Rightarrow \dfrac{10 (\sqrt3+1)}{(\sqrt3-1)(\sqrt3+1)} (\text{Rationalizing the denominator})\\\Rightarrow \dfrac{10 (\sqrt3+1)}{3-1}\\\Rightarrow \dfrac{10 (\sqrt3+1)}{2}\\\Rightarrow 5(\sqrt3+1)}\)

So, The correct answer is option a.

a. 5( √3+ 1 )

Using the sine ratio, Sin R = √2/3 = 0.47.

The sine ratio is given as, sin ∅ = length of the opposite side of the right triangle to the reference triangle / the length of the hypotenuse of the right triangle.

Given the following:

Reference angle (∅) = angle R

Length of opposite side = √2

Length of hypotenuse = RT = ?

Use the Pythagorean theorem to find the the hypotenuse, RT:

RT = √[(√2)² + (√7)²]

RT = √(2 + 7)

RT = √9

RT = 3

Using the sine ratio, find sin R:

Sin R = √2/3 = 0.47.

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Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681

Answer:

0.0548

Step-by-step explanation:

Given that:

Mean (m) life expactancy of product = 14 years

Standard deviation (σ) = 2.5 years

Probability of buying a product which will last more than 18 years ;

x = 18 years

Using empirical formula:

Zscore = (x - mean) / standard deviation

Zscore = (18 - 14) / 2.5

Zscore = 4 /2.5

Zscore = 1.6

Hence ;

P(Z > 1.6)

P(Z > 1.6) = 1 - P(Z < 1.6)

P(Z < 1.6) = 0.9452

P(Z > 1.6) = 1 - 0.9452

P(Z > 1.6) = 0.0548

Hence, probability = 0.0548 OR 5.48%

If Hannah needs 350 colored pencils for the craft kits for summer camp.

The pencils are sold in packages of 8, and there are 12 packages in each box. Then 4 boxes of pencils does Hannah need to buy for the craft kits.

A division is a process of splitting a specific amount into equal parts.

Given,

Hannah needs 350 colored pencils for the craft kits for summer camp.

The pencils are sold in packages of 8, and there are 12 packages in each box

The number of pencils can be found by multiplying 8 with 12

Eight into twelve we get ninety six

8×12=96

Now divide 96 by 350

Three hundred fifty by ninety six

350/96=3.645=4

Hence 4 boxes of pencils does Hannah need to buy for the craft kits.

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Answer:

8(-2t^2 + t + 15)

Step-by-step explanation:

8 will go into each term so it becomes

8(-2t^2 + t + 15)

Answer:

0.0013 probability that at least 6 employees were over 50.

Step-by-step explanation:

The employees were "chosen" to be dismissed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem:

8 employees dismissed means that \(n = 8\)

Had 7 + 17 = 24 employees, which means that \(N = 24\)

7 over 50, which means that \(k = 7\)

What is the probability that at least 6 employees were over 50?

6 or 7, so:

\(P(X \geq 6) = P(X = 6) + P(X = 7)\).

In which

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 6) = h(6,24,8,7) = \frac{C_{7,6}*C_{17,2}}{C_{24,8}} = 0.0013\)

\(P(X = 7) = h(7,24,8,7) = \frac{C_{7,7}*C_{17,1}}{C_{24,8}} \approx 0\)

\(P(X \geq 6) = P(X = 6) + P(X = 7) = 0.0013 + 0 = 0.0013\)

0.0013 probability that at least 6 employees were over 50.

Answer:

$6

Step-by-step explanation:

B- 3P+2C=$41

C-1P+2C=$29

since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought

12/2=6

since you need to find the price of 1 popcorn you have to divide 12 by 2

Answer:

my brain exploded trying to answer it sorry

Step-by-step explanation:

dang

Answer:

22 1/2

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

Answer: KL = KN LM=NO=9 Side-Side-Side

Step-by-step explanation:

The required answers to the question is given below.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.

Use the following figure to understand the answer.

The Proof is

1. KM=KO=5 (GIven)

2. MN=3 (Given)

3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)

4. KL=8 (Given)

5. KL=KN (from 3,4 substitution)

6. NO=ML=9 (Given)

7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.

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Answer:

2546

Hope this helps

Following are the numbers correct to 3 significant figures

Answers to the following questions:

(1) Round to the needed significant figure: 37400;

(2) Round to the required significant figure: 84600;

(3) Round to the required significant figure: 261;

(4) Round to the needed significant figure: 0.00262

(5) Round to the required significant figure: 0.368

(6), round to the needed significant figure: 0.00257

The most significant number in the number is rounded up. Check the first non-zero digit if you want to round to one significant figure while doing so. If rounding to two significant numbers, have a look at the digit that comes after the first non-zero digit.

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When the double cone is sliced at the apex by a plane parallel to the base of the cone, the resulting degenerate conic is a point.

A degenerate conic is a conic that does not have the usual geometric properties of its non-degenerate counterpart. 

It is formed by slicing a cone with a plane in a way that produces a special type of conic section.

This is because the plane cuts through both halves of the cone, resulting in the two halves becoming one point at the apex of the cone. The other degenerate conics that can be formed by slicing a double cone with a plane are:

If the plane intersects both halves of the cone, but does not pass through the apex, the resulting degenerate conic is a pair of intersecting lines.

If the plane intersects only one half of the cone, the resulting degenerate conic is a single line.

If the plane intersects both halves of the cone, passing through the apex, the resulting degenerate conic is a single line.

If the plane is parallel to one of the generating lines of the cone, the resulting degenerate conic is a parabola.

If the plane intersects both halves of the cone, but at an angle that is not parallel to the base or perpendicular to a generating line, the resulting degenerate conic is a hyperbola.

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Answer:

150/class

Step-by-step explanation:

Answer:

answer : 9 feet

Step-by-step explanation:

1 foot is 6 feet and a half foot is 3 feet so add them together.

Answer:

m║n

Step-by-step explanation:

If two lines 'line m' and 'line n' are perpendicular to the 'line t', both the lines 'm' and 'n' will be parallel to each other.

If m ⊥ l and n ⊥ l, then m║n.

Answer:

36

Step-by-step explanation:

Step 1: Define

c = 6

c²

Step 2: Substitute and Evaluate

6²

36

Answer:

$147.00 or $143.00

Step-by-step explanation:

not sure how much you had $3.00 or $7.00 but Im leanign towards $7.00. Is this a trick question?

Here we have an adding problem, where we just need to perform a direct sum of the given values.

We will see that the solution is $150.00

---------------------------

We need to see the given information.

Initially, you had $3.00

Then your Mother gives you $10.00, so now you have:

$3.00 + $10.00 = $13.00

Now your Dad gives you $30.00

Then you have $13.00 + $30.00 = $43.00

Now your Aunt and Uncle give you another $100.00

Then now you have $43.00 + $100.00 = $143.00

Finally, you had another $7.00, then you have:

$143.00 + $7.00 = $150.00

So the final answer is $150.00.

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Answer:

28/89

Step-by-step explanation:

The probability that the student is in the age group of 6 to 8 years is 28/89 and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the probability that the student is in the age group of 6 to 8 years:

Step 1 - According to the table, the total number of students who responded joy is 89.

Step 2 - It is also given that the total number of students who responded joy of age group of 6 to 8 years is 28.

Step 3 - So, the probability that the student is in the age group of 6 to 8 years is:

\(P = \dfrac{28}{89}\)

Therefore, the correct option is E).

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Answer:

1/2

25/50

50/100

many things

Step-by-step explanation:

the answer is GH, the can be the only answer

Answer:

7.33

Step-by-step explanation:

l/b=3/2

8.6/b=3/2

3b=8.6*2

b=17.2/3

b=7.33

Answer:

$20000

Step-by-step explanation:

6*10^12/ 300 million