On a map, 1 inch = 10 miles. Two cities are 4 inches apart on the map. What is the actual distance between the cities

Answer:

The answer would be letter D. Valuable.

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that [tex]\mu = 8, \sigma = 1.1[/tex]

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]

This probability is the pvalue of Z when X = 9.3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]

[tex]Z = 2.64[/tex]

[tex]Z = 2.64[/tex] has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 9. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9 - 8}{0.4491}[/tex]

[tex]Z = 2.23[/tex]

[tex]Z = 2.23[/tex] has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Answer:

Area = 80 units²

Step-by-step explanation:

Given that:

a = 19 units

b = 9 units

c = 97°

Find the area of the triangle!

Area = ab(sin(c))/2

Area = [19×9×(sin(97))]/2

Area = 84.86 units²

Area = 80 units² ✅

______________

#IndonesianPride

- kexcvi -

Answer:

60

Step-by-step explanation:

10% of 600 is 60

Answer: C

Step-by-step explanation:

1 pound is equivalent to 16 ounces. She earned 2 pounds in 1 month, meaning that you have to multiply 16 times 2, which gives 32 ounces. Hope this can help you! Have a great day/night!

Answer:

x>9/5

Step-by-step explanation:

x>9/5

Answer:

attachment plz

Step-by-step explanation:

nothing is being seen

Answer:

k+5=11

Step-by-step explanation:

Answer:

k=6

Step-by-step explanation:

k+5=11 (this is an algebraic expression)

k=11-5 (you move 5 to the left)

k=6

Answer:

-6

Step-by-step explanation:

anything for sangwoo

The numeric value of this expression is -6!

[tex] \large \sf f(x) = 12 - 2x {}^{2} [/tex]

[tex] \large \sf f(-3) = 12 - 2\cdot (-3){}^{2} [/tex]

[tex] \large \sf f(-3) = 12 - 2\cdot 9 [/tex]

[tex] \large \sf f(-3) = 12 - 18 [/tex]

[tex] \boxed{ \boxed{{ \large \sf f(-3)=-6}}}[/tex]

Therefore, the result of this expression is f(-3)=-6. ✅

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Work Shown:

3(m+2) + 4(6+m)

3m+6 + 24 + 4m

(3m+4m) + (6+24)

7m+30

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

Explanation:

In the second step, I used the distribution rule a*(b+c) = a*b+a*c. We multiply the outer term by every term inside. So for instance 3(m+2) = 3*m+3*2 = 3m+6.  A similar situation applies to 4(6+m) as well. Afterward, I grouped and combined like terms.

We can think of 3m+4m = 7m as saying "I have 3 maps and someone gave me 4 more maps, so that means I have 3+4 = 7 maps now". The m is a place holder for any number.

Answer:

216........................

Answer:-4

Step-by-step explanation:

Answer:

-144 is your answer for x.

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operation, and stand for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 12 from both sides of the equation:

x/6 + 12 (-12) = -12 (-12)

x/6 = -12 - 12

x/6 = -24

Next, isolate the variable x, by multiplying 6 to both sides:

(x/6) * 6 = (-24) * 6

x = -24 * 6

x = -144

-144 is your answer for x.

~

Answer:

y=-1/2x+5/2

Step-by-step explanation:

y-4=-1/2(x-(-3))

y-4=-1/2(x+3)

y-4=-1/2x-3/2

y=-1/2x-3/2+4

y=-1/2x+5/2

Answer:

472×82=38704

Step-by-step explanation:

Prime factorization:

2^4×41×59

Answer:

Check pdf

Step-by-step explanation:

Answer:

$72891.1094

Step-by-step explanation:

This method of saving is called sinking fund.

Future value (FV) =  A*([tex]\frac{[(1+r)^{n} - 1]}{r}[/tex])

Where A is the amortization, r is the rate and n the number of years.

A = $3000

r = 2% = 0.02

n = 20

FV = 3000 * [tex](\frac{[(1.02)^{20} - 1]}{0.02})[/tex]

     = 3000 * 24.2973698

     = 72891.1094

FV  = $ 72891.1094

The amount that would be in the account after 20 years is $72891.1094

cancelStep-by-step explanation:

10) there are infinity values for k

4(k-8)=-32+4k

4k-32=-32+4k

these two equal each other so any value is equal to k

12) there are no values for b

-(3-6b)=6b+5

-3+6b=6b+5

the b's  out and you are left with -3=5 which is impossible

Hope that helps :)

Answer:

10 is k= -4           i dont know 12 though... u dont have to give brainly to me.

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

see step on the file attached

hope this helps

Answer:

since all sides are equal 3x = 180

you find the 180÷3

which is 60

==============================================================

Explanation:

The diagram shows that we have two pairs of angles that are congruent. The angles with the single red arc pair up and are congruent, and the angles with the double arcs are the other congruent pair.

That takes care of the two "A"s in "ASA". As you can probably guess or know by now, "A" stands for "angle".

The only thing we need is the info about a pair of sides if they are congruent or not. In this case, we can see that the horizontal sides of the triangles are congruent since they overlap perfectly, or they are a shared common side. We use the reflexive property to say that "any segment is congruent to itself".

Answer:

y=5/3x

Step-by-step explanation:

Answer:

400ml of juice

Step-by-step explanation:

1 litre of water = 100ml of juice

4 litres of water =? ml of juice

to get from 1 litre to 4 litre of water you multiply by 4,so you do the same for the juice and multiply the juice by 4.

100×4=400

4 litres of water = 400ml of juice

Answer:

62 cm

Step-by-step explanation:

It's basically just a rectangle, so area formula for rectangle is base x height

Answer:

29

Step-by-step explanation:

Answer:

x+y=3

Assuming that the option 1 and 2 dont mean anything