Complete the following
area model.
7)
[Drop Down 1]
5j
3572
10j
3
[Drop Down 2]
[Drop Down 3]

Answer:

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM.

This means that [tex]\mu = 84, \sigma = 15[/tex]

Sample of 188

This means that [tex]n = 188, s = \frac{15}{\sqrt{188}}[/tex]

What is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM?

Greater than 84 + 1.46 = 85.46 or less than 84 - 1.46 = 82.54. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Probability is is less than 82.54.

P-value of Z when X = 82.54. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{82.54 - 84}{\frac{15}{\sqrt{188}}}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a p-value of 0.0918

2*0.0918 = 0.1836

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Answer:

82.5.

Step-by-step explanation:

That would be the average if you scored 100 on your last test.

This is (71+78+81+100)/ 4

= 82.5

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{-6 + k}[/tex]

[tex]\large\textsf{If k = 18, then substitute it into the equation where k is at}[/tex]

[tex]\large\textsf{-6 + 18}[/tex]

[tex]= \boxed{\large\textsf{\bf 12}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 12 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Guide}\downarrow[/tex]

[tex]\large\textsf{Negative \& negative = \boxed{\bf positive}}[/tex]

[tex]\large\textsf{Negative \& positive = \boxed{\bf negative}}[/tex]

[tex]\large\textsf{Positive \& positive = \boxed{\bf positive}}[/tex]

[tex]\large\textsf{Positive \& negative = \boxed{\bf negative}}[/tex]

[tex]\large\textsf{SOME values results in the bigger number}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

33

Step-by-step explanation:

82%-27

1%-0.3292

100%-33(nearest whole number)

Answer:

39.50

42.50

Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

Average = sum of ages / total number of men

35 = sum of ages / 6

sum of ages = 35 x6 = 210

32 = sum of ages / 4

32 x 4 = sum of ages

128

210 - 128 = 82

age of the younger man = x

age of the older man = 3 + x

x + 3 + x = 82

2x + 3 = 82

2x = 82 - 3

2x = 79

x = 79/2 = 39.5

older man = 39.5 + 3 = 42.50

Answer:

0 = 67,38013505

Step-by-step explanation:

Tan (0) = 12/5 (Use calculator this part)

Then 0 = 67,38013505

Answer:

C. y = -1/3 + 1

Step-by-step explanation:

Parallel equations have the same slope.

Answer:

pls can u tell which grade are you

Answer:

J

Step-by-step explanation:

x+1/x3-x=x+1/x2

=1/x

1/x2-x=1/x

Answer:

13.1 cm

Step-by-step explanation:

5+5=10

1/2x2π1=3.14

10+3.14=13.14

Answer:

See image below:)

Step-by-step explanation:

Answer:

[tex]y=2\frac{1}{7}[/tex]

Step-by-step explanation:

(y · 7) - 4 = 11

7y - 4 = 11

7y - 4 + 4 = 11 + 4

7y = 15

7y ÷ 7 = 15 ÷ 7

[tex]y=2\frac{1}{7}[/tex]

Answer:

5/7

Step-by-step explanation:

6/7 + [-1/7]

Since the denominators are the same, add the numerators

6+-1 = 5

Put this over the common denominator

5/7

Answer:

8/27.

Step-by-step explanation:

Given expression: [tex](2/3)^3[/tex]

To correctly simplify this expression, you must first understand the role of exponents and base numbers.

The base number is the number being multiplied.

The exponent tells the base number how many times it should be multiplied by itself.

In this case, 2/3 is the base number and 3 is the exponent.

Exponential notations will always be written like this: [tex]x^n[/tex]

[tex]x-base[/tex]

[tex]n-exponent[/tex]

Now that we know the roles of the exponent and base number, we can correctly simplify this expression.

[tex](2/3)^3[/tex]

[tex]=2/3*2/3*2/3[/tex]

[tex]=8/27[/tex]

[tex]\to \ (2/3)^3=8/27[/tex]

Therefore, the value of [tex](2/3)^3[/tex] is 8/27.

Answer:

90 years

Step-by-step explanation:

Equation =

200 - 2x = 20

2x = 200 - 20

2x = 180

x = 180 / 2

x = 90

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:  AREA OF H IS S= R4

Step-by-step explanation:

Answer and Step-by-step explanation:

To find x, we need to add 9 to both sides of the equation.

x = 22  <-- This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

X=22

Step-by-step explanation:

X-9=13

X=13+9

X=22

The triangle on the left side has two legs of length 4 m and 6 m. It's a right triangle, so the hypotenuse has length √((4 m)² + (6 m)²) = 2√13 m. Only the 4 m leg and the hypotenuse count towards the shape's overall perimeter.

The rectangular part contributes 9 m from the top side and 9 m from the bottom one, thus a total of 18 m.

The half-circle has diameter 6 m (indicated by the dashed line, same as the height of the triangle on the left). A full circle with diameter d has circumference πd ; a half-circle with the same diameter would then contirubte πd/2, or in this case, 3π m.

So, the total perimeter of the shape is

(4 m + 2√13 m) + 18 m + 3π m ≈ 38.6 m

Answer:

Step-by-step explanation:

Answer:

1 min and 20 seconds

Step-by-step explanation:

[tex]\implies {\pink {\boxed {\boxed {\purple {\sf { \: x = \frac{2}{7}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

Let [tex]x[/tex] be the unknown number.

As per the question, we have

[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]

➺[tex] \: \frac{6}{35} - x = \frac{ - 4}{35} [/tex]

➺[tex] \: - x = \frac{ - 4}{35} - \frac{6}{35} [/tex]

➺[tex] \: - x = \frac{ - 4 - 6}{35} [/tex]

➺[tex] \: - x = \frac{ - 10}{35} [/tex]

➺[tex] \: x = \frac{2}{7} [/tex]

Therefore, [tex] \frac{2}{7} [/tex] should be subtracted from the product of [tex] \frac{3}{7} [/tex] and [tex] \frac{2}{5} [/tex] to get [tex]\frac{ - 4}{35} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify}}{\orange{:}}}}}[/tex]

[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]

➼[tex] \: ( \frac{6}{35} ) - \frac{2}{7} = \frac{ - 4}{35} [/tex]

➼[tex] \: \frac{6}{35} - \frac{2 \times 5}{7 \times 5} = \frac{ - 4}{35} [/tex]

➼[tex] \: \frac{6 - 10}{35} = \frac{ - 4}{35} [/tex]

➼[tex] \: \frac{ - 4}{35} = \frac{ - 4}{35} [/tex]

➼[tex] \: L.H.S.=R. H. S[/tex]

[tex]\sf\purple{Hence\:verified. }[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]

Answer:

1/2

Step-by-step explanation:

You can try converting 1/2 to another fraction with the same denominator as 15/24. This fraction is 12/24. As you can see, 12/24 is less than 15/24.

Answer:

option A

Step-by-step explanation:

To find ratio less than the given ratio we will convert the denominator of each fraction to 24 and then compare

Given ratio is : [tex]\frac{15}{24}[/tex]

Given options

          [tex]\frac{1}{2} = \frac{1 \times 12 }{2 \times12} = \frac{12}{24}[/tex]

            [tex]\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}[/tex]

                            [tex]\frac{19}{24}[/tex]

             [tex]\frac{6}{8} = \frac{6 \times 3}{8 \times 3} =\frac{18}{24}[/tex]

Now arrange in the ascending order , just check the numerator values.

[tex]\frac{12}{24} < \frac{15}{24} < \frac{18}{24} < \frac{19}{24} < \frac{21}{24}[/tex]

Therefore

                 : [tex]\frac{12}{24} = \frac{1}{2}\ is \ the\ ratio\ less\ than\ \frac{15}{24}[/tex]

Answer:

280 DB

Step-by-step explanation:

If the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

Sound level is the intensity to measure the sound. Decibels are used to quantify sound levels.

The sound level of a jet plane is expressed according to the expression given:

β = 10log(I/I0)

Given the following parameters

β = 140dB

I0 = 10^-12 W/m²

For required Intensity "I" Substitute:-

140 =10log(I/10^-12)

14 = log(I/10^-12)

10^14 = I/10^-12

I = 10^14 * 10^-12

I = 10^2

I = 100dB

Hence if  the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

learn more intensity of sound here:

brainly.com/question/9367064

#SPJ2

Answer: 1.5m/s

Step-by-step explanation:

Answer:

1.5m/s

Step-by-step explanation:

distance/time= 6 meters/4 secs=1.5meters per sec

Answer:

4

Step-by-step explanation:

2×2=4

6÷2=3

1×2=2

8÷2=4

3×2=6

?÷2=2

2×2=4

Answer:

4

Step-by-step explanation:

2×2=4

6÷2=3

1×2=2

8÷2=4

3×2=6

?÷2=2

answer:

?=2×2

=4

Answer:

1:3

Step-by-step explanation:

7:21

1:3

so , 7:21 is 1:3.

Answer:

Improper:

76/5

Take it to the power of 5.

2373046875/25

Answer:

16 ft³

Step-by-step explanation:

Volume of a pyramid = [tex] \frac{1}{3} [/tex]× base area × height

Volume

[tex] = \frac{1}{3} \times (4 \times 3) \times 4[/tex]

[tex] = \frac{1}{3} \times 12 \times 4[/tex]

= 16 ft³

Answer:

y = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

2x - 9y = 11

x = 7

Step 2: Evaluate