HELP WITH NUMBER 6!!!

Answer:

Below

Step-by-step explanation:

The equation to use for CONTINUOUS compounding is :

FV = PV e^(it)

18532.08 = 8327 * e^( i*10)        where i is the interest in decimal form

18532.08/8327  = e^(10i)

2.225541 = e^(10i)             now take natural log  (ln) of both sides to get

.8000 = 10i

i = .08     or 8% interest

Answer:

Step-by-step explanation:

From the given information:

A sandwich shop offers eight types of sandwiches, and Jamey likes all of them equally.

The probability that Jamey picks any one of them is 1/8

Suppose

X represents the number of times he chooses salami

Y represents the number of times he chooses falafel

Z represents the number of times he chooses veggie

Then  X+Y+Z ≤ 5 and;

5-X-Y-Z represents the no. of time he chooses the remaining

8 - 3 = 5 sandwiches

However, the objective is to determine the P[X=x,Y=y,Z=z] such that 0≤x,y,z≤5

So, since he chooses x no. of salami sandwiches with probability (1/8)x

and y number of falafel with probability (1/8)y

and for z (1/8)z

Therefore, the remaining sandwiches are chosen with probability \(\dfrac{5}{8} (5-x-y-z)\)

So. these x days, y days and z days can be arranged within five days in

\(= \dfrac{5!}{x!y!z!(5-x-y-z)!}\)

Thus;

\(P[X=x,Y=y,Z=z]= \dfrac{5!}{x!y!z!(5-x-y-z)} \times \dfrac{1}{8}x*\dfrac{1}{8}y* \dfrac{1}{8}z* \dfrac{5}{8}(5-x-y-z)\)

since 0 ≤ x, y, z ≤ 5 and x + y + z ≤ 5.

The distribution is said to be Multinomial distribution.

Answer:

0-7 bc 7×4 is 28 and 8×4 is 32, 32 is over the balance 28 is right on

Answer:She can buy from 0-7 smoothies, but no more.

Step-by-step explanation:i got it right

Answer:

\(f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4 \\ divide \: both \: sides \: by \: 20 \\ y = \frac{1}{20} x + \frac{1}{5} \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) = \frac{1}{20} x + \frac{1}{5} \)

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

and range of f(x): x∈R =domain of f¯¹(x)

The value of variable x is,

⇒ x = 42

We have to given that;

In a right triangle,

⇒ sin (x + 10)° = cos (4x - 4)°

Now, We can simplify as;

⇒ sin (x + 10)° = cos (4x - 4)°

⇒ cos (90 - (x + 10))° = cos (x - 4)°

⇒ 90 - (x + 10) = x - 4

⇒ 90 - x - 10 = x - 4

⇒ 80 + 4 = 2x

⇒ 2x = 84

⇒ x = 42

Thus, The value of variable x is,

⇒ x = 42

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The equation to find the original price of the TV is 300 = 0.25x

The DVDs were bought for $15 each which means that the amount of money spent on the television is:

= Total amount spent - Cost of DVDs

= 345 - (15 x 3)

= $300

The Television has a discount of 25%. Assuming the original price is x, the relevant formula would be:

Total amount spent = 25% * x

300 = 0.25x

In conclusion, you can find the price of the television by solving for x in 300 = 0.25x

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Answer:

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

Given system:

Add up the two equations to get same coefficient on both variables:

As we see none of the choices match the answer. It means either question or answer choices are inaccurate.

Answer:

enlargement

Step-by-step explanation:

Actual picture is smaller than the scaled one

Scaling is used to enlarge the actual picture

So the answer is enlargement

Answer:

enlargement

Step-by-step explanation:

Answer:

I dont know if they go together or if there apart.

Step-by-step explanation:

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

10 is the right answer

Step-by-step explanation:

please mark me as brainliest answer

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

Answer:

10 - x

Step-by-step explanation:

Answer:

x-10 or 10-x

Step-by-step explanation:

Answer:

a) \( E = \frac{49.2-17.6}{2}= 15.8\)

b) For this case we have 95% of confidence that the true mean would be between \(\pm 15.8\) units respect the true mean.

c) \(n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112\)

So the answer for this case would be n=112

d) \(36.5-2.58\frac{45}{\sqrt{112}}=25.53\)    

\(36.5+2.58\frac{45}{\sqrt{112}}=47.47\)

Step-by-step explanation:

Part a

For this case we know that the cinfidence interval for the true mean is given by:

\( \bar X \pm E\)

Where E represent the margin of error. For this case we have the confidence interval at 95% of confidence and we can estimate the margin of error like this:

\( E = \frac{49.2-17.6}{2}= 15.8\)

Part b

For this case we have 95% of confidence that the true mean would be between \(\pm 15.8\) units respect the true mean.

Part c

The margin of error is given by this formula:

\( ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\)    (a)

And on this case we have that ME =11 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

\(n=(\frac{z_{\alpha/2} \sigma}{ME})^2\)   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The critical value would be \(z_{\alpha/2}=2.58\), replacing into formula (b) we got:

\(n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112\)

So the answer for this case would be n=112

Part d

The confidence interval for the mean is given by the following formula:

\(\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\)   (1)

Replcaing the info given we got:

\(36.5-2.58\frac{45}{\sqrt{112}}=25.53\)    

\(36.5+2.58\frac{45}{\sqrt{112}}=47.47\)

Answer:

Cannot be proven congruent due to it being AAA

Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

\( \frac{ - 4}{1 + 0.5} \)

\( \frac{ - 4}{1.5} = - \frac{8}{3} \)

The sum is -8)3

Answer:

\(x > 15.7\)

Step-by-step explanation:

1) Add 5 to both sides.

\(x > 10.7 + 5\)

2) Simplify 10.7 + 5 to 15.7.

\(x > 15.7\)

Therefor, the answer is x > 15.7

Answer:

\(x \geq 15.7\)

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

Inequality Form: 15.7

Hope this helps

The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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Therefore , the solution of the given problem of circle comes out to be 7.33 cm is the arc length.

A certain length from this new location, each piece of an aeroplane forms a circle (center). Surfaces and curving zones that are separate from one another make up its structure. Moreover, it rotates equally in all directions around the centre. Every end circumference is evenly spaced from the "centre" in some type of circle or constrained double sphere. One can make a path that is asymmetrical and goes to a circle by looping a rope across a circle.

Here,

=> Size of the arc =  θ * (π/180) * r

=> Arc = 30 * (22/7) / 180 * 14

=> Arc = 7.33

Thus , 7.33 cm is the arc length.

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The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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Answer:

1 5/6

Step-by-step explanation:

3 - 1 1/6 = 1 5/6

3 = 18/6

1 1/6 = 11/6

18/6 - 11/6 = 7/6 = 1 5/6

Answer:

Write

f

(

x

)

=

2

x

2

+

12

x

+

10

as an equation.

y

=

2

x

2

+

12

x

+

10

Step-by-step explanation:

Write

f

(

x

)

=

2

x

2

+

12

x

+

10

as an equation.

y

=

2

x

2

+

12

x

+

10

Answer:

840

Step-by-step explanation:

You can divide by 5 and get 168

840/6 = 140

840/21 = 40

Answer:

The largest 3 digit number divisible by 5, 6, & 21 is 840.

Answer:

y=1.5

x=-3.5

Our answer is (-3.5,1.5)

Step-by-step explanation:

y-5=x

x=-2-y

y=?

--------

Using substitution,

y-5=-2-y

Solve:

2y-5=-2

2y=3

y=1.5

We can enter 1.5 into the equation:

1.5-5=x

-3.5=x

Given,

Percentage of baskets jai make is 28%.

The number of free thorws are 120.

The number of basket likely made by jai in 120 free throws is,

The number of basket he makes is approximately 37.

a) 1% of 120 is,

b) 10% of 120 is,

c) 20% of 120 is,

d) 8% of 120 is,

Answer:

Grandma Anni is correct, so no. One of the criteria for comparing two figures is that their corresponding lines must be congruent. Similar figures can vary in size while maintaining the same shape. They are therefore proportionate and have identical matching angles. The shapes of the figures will match if the associated lines are congruent.

The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\)  2. 2\(x^{0}\)\(y^{-2}\)

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

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Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer