at the zoo there are 3 times

Answer:

(a)0.3493

(b) 0.7611

(c) 0.5034

(d) No it is not unusual

Step-by-step explanation:

Using the TI-84 Plus calculator to answer the following

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 11.8 pounds and Standard deviation 3.1 pounds.

(a) What proportion of babies weigh more than 13 pounds?

z = (x-μ)/σ

= 13 - 11.8/3.1

= 0.3871

Probability value from Z-Table:

P(x<13) = 0.65066

P(x>13) = 1 - P(x<13) = 0.34934

The proportion of babies weigh more than 13 pounds is 0.3493

(b) What proportion of babies weigh less than 14 pounds?

z = (x-μ)/σ

= 14 - 11.8/3.1

= 0.70968

Probability value from Z-Table:

P(x<14) = 0.76105

The proportion of babies weigh less than 14 pounds is 0.7611

(c) What proportion of babies weigh between 11 and 15.8 pounds?

For x = 11

z = (x-μ)/σ

= 11 - 11.8/3.1

= -0.25806

Probability value from Z-Table:

P(x = 11) = 0.39818

For x = 15.8

z = (x-μ)/σ

= 15.8 - 11.8/3.1

= 1.29032

Probability value from Z-Table:

P(x = 15.8) = 0.90153

The proportion of babies weigh between 11 and 15.8 pounds

P(x = 15.8) - P(x = 11)

= 0.90153 - 0.39818

= 0.50335

≈ 4 decimal places = 0.5034

(d) Is it unusual for a baby to weigh more than 18 pounds?

z = (x-μ)/σ

= 18 - 11.8/3.1

= 2

Probability value from Z-Table:

P(x≤ 18) = P(x = 18) =

0.97725

No it is not unusual to have a Weight of 18 pounds

Round the answers to four decimal places.

(a) The proportion of babies weigh more than 13 pounds is 0.3493.

(b) The proportion of babies weigh less than 14 pounds is 0.7611.

(c) The proportion of babies weigh between 11 and 15.8 pounds is 0.5034.

(d) No, it is not unusual.

"To understand the calculation, check below."

Formula:

z = (x-μ)/σ,

x is the raw score.

μ is the population mean.

σ is the population standard deviation.

Mean = 11.8 pounds

Standard deviation =3.1 pounds.

Part (a) :

The proportion of babies weigh more than 13 pounds is :

z = (x-μ)/σ

z = 13 - 11.8/3.1

z = 0.3871

Probability value from Z-Table:

P(x<13) = 0.65066

P(x>13) = 1 - P(x<13) = 0.34934

The proportion of babies weigh more than 13 pounds is 0.3493

Part (b):

The proportion of babies weigh less than 14 pounds is :

z = (x-μ)/σ

z= 14 - 11.8/3.1

z= 0.70968

Probability value from Z-Table:

P(x<14) = 0.76105

The proportion of babies weigh less than 14 pounds is 0.7611.

Part (c):

The proportion of babies weigh between 11 and 15.8 pounds is :

For x = 11

z = (x-μ)/σ

z= 11 - 11.8/3.1

z= -0.25806

Probability value from Z-Table:

P(x = 11) = 0.39818

For x = 15.8

z = (x-μ)/σ

z= 15.8 - 11.8/3.1

z= 1.29032

Probability value from Z-Table:

P(x = 15.8) = 0.90153

The proportion of babies weigh between 11 and 15.8 pounds:

P(x = 15.8) - P(x = 11)

= 0.90153 - 0.39818

= 0.50335

≈ 4 decimal places = 0.5034

Part (d) :

Is it unusual for a baby to weigh more than 18 pounds :

z = (x-μ)/σ

z = 18 - 11.8/3.1

z = 2

Probability value from Z-Table:

P(x≤ 18) = P(x = 18) =0.97725

No, it is not unusual to have a Weight of 18 pounds.

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Answer:

35

Step-by-step explanation:

15+35=50

50=total number of students

50*0.3 = 15

50 - 15 = 35

35 students do not take the bus to school

Answer: it seems to be Liner

Step-by-step explanation:

Has a Constant rate

Answer:

y = -8/5x + 7

Step-by-step explanation:

Step 1: Write equation

8x + 5y = 35

Step 2: Solve for y

Answer:

x=-40, y= -5 the quotient of x and y ie x/y = 8

Step-by-step explanation:

we first have that when -4 divides x we get 10, thus x must be -40, simmilarly we have that 10/y = -2 thus y= -5 , therefore y=-5, their ratio or quotient is simply -40/-5 = 8.

Answer:

-x - 13

Step-by-step explanation:

Answer:

-x - 13

Hope this helps! :)

Answer:

[tex]\huge\boxed{\text{the slope}=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

The formula of a slope

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put the coorcinates of the points:

(2, 3); (5, 5)

[tex]m=\dfrac{5-3}{5-2}=\dfrac{2}{3}[/tex]

(2, 3); (8, 7)

[tex]m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}[/tex]

The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.

Answer:

x = 10-3

When x + 3 = 10 is simplified x = 7 AND x = 10-3 also equals 7 (x = 7)

Answer: Yes this equation is true.

How Do I know? Well, let's graph this and the answer is (0,32)

Answer:

Yes, it's true

Answer:

so im in a rush but to get this answer you need to sub those variables and then the first step would be the multiplication prop of inequality

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

In each box there is 32. Well, we know there is 15 boxes, so we multiply 32 and 15 to get 480.

She bought 480 total bananas :D

Answer:

She would've eaten 480 bananas

Step-by-step explanation:

Answer:

7 <  3N+1 < 11

6 < 3n < 10

2 < n < 10/3

Step-by-step explanation:

The required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.

Given that,
Three times a number, increased by one, is between negative eleven and seven. the number is to be determined.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Accoding to the condition let the number be x,
and
-11 < 3x + 1 < 7
-12 < 3x < 6
-4 < x < 2
So the number are -3, -2, -1, 0, anb 1

Thus, the required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.

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Answer: a battery it is right it told me the answer

Step-by-step explanation:

Answer:

sihdhdhdjjdjdjdjdjsjjsjejdjje

The solution to the radical expression √36 is 6.

A radical expression is a mathematical expression that contains a radical symbol (√), which represents the square root (or nth root) of a number or variable. The radical symbol is typically followed by a number or expression inside a set of parentheses, which indicates what is being rooted.

The square root of 36 is a number that, when multiplied by itself, equals 36. In this case, we know that the number is 6, because 6 x 6 = 36.

The square root of 36 is simply:

√36 = 6

So the solution of the given radical expression √36 is 6.

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The complete question is given below.

Solve the radical expression: √36.

Step-by-step explanation:

lim(n→∞) an / bn

= lim(n→∞) [(sin²n) / (n³√n + n)] / (1 / n^⁷/₂)

= lim(n→∞) [(sin²n) / (n³√n)] / (1 / n^⁷/₂)

= lim(n→∞) (sin²n)

DNE

Since the limit does not exist, the limit comparison test is inconclusive.

Answer:

45

Step-by-step explanation:

A ratio shows us the number of times a number contains another number. The number of players in group 2 is 12.

A ratio shows us the number of times a number contains another number.

Given that the coach wants the ratio of the players in group 1 to players in group 2 to be 3. Therefore, the ratio can be written as,

Number of players in group1/Number of players in group2 = 3/1

Multiply the numerator and the denominator of the ratio by x,

Number of players in group1/Number of players in group2 = 3x /1x

Now, the total number of players can be written as,

3x + x = 48

4x = 48

x = 48/4

x = 12

Further, the number of players in group 2 can be written as,

Number of players in group2 = x = 12

Hence, the number of players in group 2 is 12.

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Answer:

c

Step-by-step explanation:

Answer:

7kg:1kg=7:1 itself

Because 7 and 1 has one '1' as a common factor, so they can't be simplified

Answer:

Enlargement rate is 24

Step-by-step explanation:

Divide 8 by one third to get the enlargement rate. I hope this helps:)

Answer:

Which side of the original parallelogram corresponds to the 6 ft side of the enlarged parallelogram? ITS IS  x ft

What is the second step in solving the proportion? IT IS  cross multiply

What is the value of the missing measure? IT IS  1/4

Step-by-step explanation:

i got this right

Answer:

11.06

Step-by-step explanation:

55.30/5 Separate the decimals and whole numbers and divide both by 5

55/5=11 and 0.30/5=0.06

11+0.06=11.06

Answer:

11.06

Step-by-step explanation:

Answer:

48.9%, and 489/1000

Step-by-step explanation:

It is currently written as a decimal. To convert to a percent, simply move the decimal place over to the right by 2 places. For the fraction, calculate the place value of the last digit, which in this case, is the thousandths. So, the fraction would be 489/1000

Answer:

8

Step-by-step explanation:

According to the Alternating Series Estimation Theorem:

│aₙ₊₁│≤ ε

1 / (4 (n + 1)⁴) ≤ 0.00005

4 (n + 1)⁴ ≥ 20000

(n + 1)⁴ ≥ 5000

n + 1 ≥ 8.41

n ≥ 7.41

n must be an integer, so n ≥ 8.

Answer:

Step-by-step explanation:

x=6

y=4

5x-y^2 :2

5×6 - 4 ^2 :2

30 - 16 :2

30 - 8

22 (the wright answer)

Circle the mistake :x =6 and y =4 it's not x=4 and y=6

Explain the mistake :when you calculed with x=4 and y=6 the final answer is wrong.

Answer:

c

Step-by-step explanation:

Answer: 0.664

Step-by-step explanation: 1.666/0.664=2.5

Answer:

43 becuase 8 3/5 times 5

Step-by-step explanation:

Answer: 768

Step-by-step explanation:

Just multiply 2 by the first term (3) until u get to the 9th term

So 1.. 3*2= 6

2.. 6*2=12

3.. 12*2= 24

& so forth

So the 9th term is 768