Solve this equation for x. Round your answer to
the nearest hundredth.
6 = ln(x + 4)

Which negative angle is equivalent to an 85° angle?

A. An angle measuring -95°

B. An angle measuring -275°

D. An angle measuring -265°

-KeonLee

I hope it help

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An angle measuring -275°

*view photo*

Answer:

It is 65 cm

Step-by-step explanation:

Alright, within the image, the triangles ABC and TUV are congruent. With this, the following is true: AB ≅ TU, BC ≅ UV, and CA ≅ VT because the order and their sides between the two triangles is shared.

With this, BC is ≅ to UV. Now, just set the two equations equal to each other:

9x+2=8x+9

9x=8x+7

x=7

Now, we've got x, though it needs to be plugged back into side BC for the final answer

9(7)+2

63+2

65 cm

Answer: Option C

l = (P - 2b)/2

Step-by-step explanation:

From P = 2(l + b)

Divide both sides by 2;

P/2 = 2(l + b)/2

P/2 = l + b

l + b = P/2

Make l the subject of formula;

l = (P/2) - b

l = (P - 2b)/2

Answer:

68250

Step-by-step explanation:

Number of ways in which 2 letters can be selected out of 26 letters = 26 c 2 = 26 ! / ( 2! x 24! ) = 325

Number of ways in which 4 digits can be selected out of 10 digits = 10 c 4 = 10 ! / ( 4! x 6! ) = 210

So , total number of ways in which password containing 2 letters & 4 digits can be made = 325 x 210 = 68250

Answer:

B. 90 inches

Step-by-step explanation:

Given that

The length is 50 m

And, the width is 25 m

Scale factor is 3 inches per 5 m

We need to find out the  perimeter of the pool

So,

5 meter = 3 inches

3  ÷ 5 = x ÷ 50

x = 30 inches = length

Now

3  ÷ 5 = x ÷ 50

x = 15 inches = width

Now the perimeter of the pool is

= 2(l + w)

= 2 (30 + 15)

= 90 inches

Answer:

it should be 119

Step-by-step explanation:

(7-3) = 4

4^2 = 16

16 x 7 = 112

112 + 7 = 119

Answer: 119

[tex]7+7(x-3)^{2}[/tex]

[tex]7+7(7-3)^{2}[/tex]

[tex]7+7(4)^{2}[/tex]

[tex]7+7(16)[/tex]

[tex]7+112[/tex]

=119

Answer:

x = 17.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 51 = x /28

28 cos 51= x

x=17.62097

To the nearest tenth

x = 17.6

Answer: A. 0.01

Step-by-step explanation:

Type I error are refered to as false positives and it means that when a statistically significant difference is validated by the researcher even though the results aren't statistically significant.

Type I error is when one rejects the null hypothesis even though it's actually true. In this case, the inspector rejects the hypothesis which was that the proportion of water that is contained the product is 0.5.

The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.

Answer:

The fraction of the drink that is juice is [tex]\frac{2}{13}[/tex]

Step-by-step explanation:

Since the ratio of the water to juice is 11:2, that means the ratio of juice to the total amount of liquid in the glass would be [tex]\frac{2}{11+2}[/tex] or [tex]\frac{2}{13}[/tex].

The fraction of the drink that is juice is [tex]\( \frac{2}{13} \)[/tex].

The ratio of water to juice in the glass is 11:2. This means that for every 11 parts of water, there are 2 parts of juice in the drink.

To find the fraction of the drink that is juice, we need to add the number of parts of juice and water together. In this case, we have 11 parts of water and 2 parts of juice, making a total of [tex]\(11 + 2 = 13\)[/tex] parts.

Now, to find the fraction of juice in the drink, we divide the number of parts of juice by the total number of parts in the drink. So, we have:

[tex]\( \text{Fraction of juice} = \frac{\text{Number of parts of juice}}{\text{Total number of parts}} = \frac{2}{13} \).[/tex]

Thus, [tex]\( \frac{2}{13} \)[/tex] of the drink is juice.

In summary, to find the fraction of juice in the drink, we first add the number of parts of juice and water together to get the total parts in the drink.

Then, we divide the number of parts of juice by the total parts to find the fraction of juice. In this case, the fraction of juice in the drink is [tex]\( \frac{2}{13} \).[/tex]

To know more about Fraction here

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Answer:

0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Took Form B.

Event B: Did not pass.

Half of a class took Form A of a test, and half took Form B.

This means that [tex]P(A) = 0.5[/tex]

Of the students who took form B, 39% passed.

So 100 - 39 = 61% did not pass, which means that [tex]P(B|A) = 0.61[/tex].

What is the probability that a randomly chosen student took Form B and did not pass?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.61*0.5 = 0.305[/tex]

0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass

Answer:

The answer is "Option b".

Step-by-step explanation:

In the given question, 1000 ticket were sold for [tex]\$1[/tex] and the owner who receives tickets which are  randomly chosen that wins [tex]\$50[/tex].

[tex]Net\ profit = 1000\times 1-1\timesv 50 = \$950\\\\Net \ profit \ for\ ticket = \frac{\$950}{1000} = \$0.95[/tex]

The probability in which each ticket owners win [tex]= 0.001[/tex]

therefore the ticket owner net profit = [tex]= -1+0.001\times 50 = -0.95\\\\[/tex]

Answer:

6 = 9

8 x

we cross multiply 6× x = 6x 9×8 = 72

6x = 72

6 6

x = 12

Answer:

[tex] \huge\fbox\purple{12}\ [/tex]

[tex] \small\mathfrak\pink{s} \small\mathfrak\purple{o} \small\mathfrak\blue{l} \small\mathfrak\red{u}\small\mathfrak\green{t} \small\mathfrak\orange{i}\small\mathfrak\blue{o} \small\mathfrak\red{n(⌐■-■)/━☆ﾟ.*･｡ﾟ} [/tex]

In this question, we're trying to find how many apples Jenson picked from the basket.

Lets gather information that can help us.

Important information:

• Picked a fruit from a basket 40 times Probability of picking an apple is 0.3

With the information above, we can solve the question.

We know that he picked up a fruit 40 times, but we need to find how many apples he picked up during the 40 times.

The probability of picking an apple is 0.3, which is equivalent to 30%

This means that 30% of the 40 times he picked an apple.

We would multiply 40 by 0.3 to get our answer.

This means that Jenson picked 12 apples.

________☁️☁️

Hope it helps

~✨ƒöᏝϗʆѻʁᶥąռ¹₃

Answer:

The value of BEF = 36°

Step-by-step explanation:

Given:

Angle AED = 90°

Angle BEF = 3x°

Angle CEF = 54°

Find;

The value of BEF

Computation:

We know that;

Angle AED = Angle BEC (Vertical opposite angle)

So,

Angle AED = Angle Angle BEF + Angle CEF

90 = 3x + 54

3x = 90 - 54

3x = 36

x = 36 / 3

x = 12

The value of BEF = 3x

The value of BEF = 3(12)

The value of BEF = 36°

Answer:

c

Step-by-step explanation:

the answer is c c c c c c c c

Answer:C

Step-by-step explanation:

I took the test

Answer:

C

Step-by-step explanation:

The types of cars sold in the two months typically get about the same gas mileage.

Answer:

Answer

It can be (1+x)

n

only as (1−x)

n

terms are +ve/−ve alternatively hence can't be in A.P.,

General term, T

rH

=

n

C

r

⋅x

r

⇒T

5

=

n

C

4

⋅x

4

,T

6

=

n

C

5

⋅x

5

,T

7

=

n

C

6

⋅x

6

Coefficients are in A.P.

⇒2

n

C

5

=

n

C

4

+

n

C

6

⇒

5!(n−5)!

2n!

=

4!(n−4)!

n!

+

6!(n−6)!

n!

⇒

5(n−5)

2

=

(n−4)(n−5)

1

+

6×5

1

⇒2(n−4)=5+

6

1

(n−4)(n−5)

⇒12(n−4)=30+n

2

−9n+20

12n−48=n

2

−9n+50

⇒n

n

−21n+98=0

⇒n

2

−14n−7n+98=0

⇒n(n−14)−7(n−14)=0

⇒(n−7)(n−14)=0

n=7 or n=14.

Answer:

748h=1,500

Step-by-step explanation:

volume=length x width x height

we know the length and width so

v=34 x 22, which that equals 748

to find the length we need to divide 1,500 and 748.

hope this helps!

Answer:

is this from FLVS?

Step-by-step explanation:

Answer:

The area is: [tex]69m^2[/tex]

Step-by-step explanation:

Given

[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]

[tex]b_1 = 9m[/tex]

[tex]b_2 = 14m[/tex]

[tex]h =6m[/tex]

Required

The area

We have:

[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]

This gives:

[tex]A = \frac{1}{2}* (9m + 14m) * 6m[/tex]

[tex]A = \frac{1}{2}* 23m * 6m[/tex]

[tex]A = 69m^2[/tex]

Answer:

[tex]x < 6[/tex]

Step-by-step explanation:

Given

The attached plot

Required

The inequality

The arrow points starts at 6 and points left.

This means that:

[tex]x < 6[/tex] or [tex]x \le 6[/tex]

The open circle on 6 implies that the inequality is either [tex]<[/tex] or [tex]>[/tex]

Hence, [tex]x \le 6[/tex] is invalid

So, the inequality is: [tex]x < 6[/tex]

9514 1404 393

Answer:

  $1524

Step-by-step explanation:

The basic idea is that each line of the table is use for that portion of the income that falls in the range for that line of the table. Then the tax amounts are added together.

Another way to do it is to rewrite the table to use the full tax rate on the full income, then subtract a "discount" applicable to that line. Using that method in the attached spreadsheet, we have computed the tax to be $1524 on income of $30,000.

__

Additional comment

The above-described calculation is applied on each line of the table to arrive at the "tax" on that line. The amount due is the maximum of the numbers in the "tax" column. (Doing this by hand, one would only need to use the formula on the one applicable line. In a spreadsheet, the extra calculations are of little consequence.)

We have used 1e8 as an "upper limit" essentially equivalent to "infinity" for the purpose here.

Answer:

Whats misleading is that it gives decimals for the part that says "thousands of dollars" it it is very vivid

Why i think the company would present this graph is To see their budget and income per month and etc.

_____________________________________________________________-

Because on the 2015 box graph is is 3d shaped also, it doesnt have the name for 0 ~ 400 books and etc

2013: 1000

2014: 2000

1015: 4000

___________________________________________________________________

The impression this graph gives is organized for profits but hard to understand

Solution :

P(A) = 0.2

[tex]$P(B)=0.3$[/tex]

[tex]$P(C)=0.5$[/tex]

Each portfolio has both the stocks and the bonds, and the investors are equally likely to choose either of them.

Let Stock = S

      Bond  = b

Therefore, we have:

[tex]$P(S|A) = 0.5$[/tex]

[tex]$P(b|A) = 0.5$[/tex]

[tex]$P(S|B) = 0.5$[/tex]

[tex]$P(b|B) = 0.5$[/tex]

[tex]$P(S|C) = 0.5$[/tex]

[tex]$P(b|C) = 0.5$[/tex]

Therefore,

[tex]$P(b \text{ and } B)= P(b|B) \times P(B)$[/tex]

                    = 0.5 x 0.3

                    = 0.15

Based on the tree diagram, probability of an investor choosing only bonds from portfolio B is 0.15.

Probability is the chance or likelihood of an event occurring.

Mathematically, probability is given as;

From the tree diagram:

P(A) = 0.2

P(B) = 0.3

P(C) = 0.5

The investors are equally likely to choose from each portfolio.

Each portfolio has both the stocks and the bonds.

Assuming stock = S and Bond = B.

Then;

P(S|A) = 0.5

P(b|A) = 0.5

P(S|B) = 0.5

P(b|B) = 0.5

P(S|C) = 0.5

P(b|C) = 0.5

[tex]P(b \text{ and } B)= P(b|B) \times P(B)[/tex]

[tex]P(b \text{ and } B)= 0.5 \times 0.3 = 0.15[/tex]

Therefore, the probability of an investor choosing only bonds from portfolio B is 0.15.

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