A 6-digit PIN number is selected. What it the probability that there are no repeated digits?
The probability that no numbers are repeated is
Write your answer in decimal form, rounded to the nearest thousandth.
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Answer:

The answer is 42 times.

Step-by-step explanation:

The probability of taking out the red bead from the bag every time is

P = 7 ÷ (7 + 8) = 7/15

So, The number of times she expects to take a red bead is 'n'

Therefore,

n = 90 × 7/15

n = 6 × 7 = 42

Thus, The number of times she expects to take a red bead is 42.

Answer:

A.   Midline is -1

Step-by-step explanation:

Answer:

x+8=15

-8. -8

x=7

7x=35

7. 7

x=5

Answer:

here

Step-by-step explanation:

C and D is the answer

This question is incomplete, the complete question is;

A medical researcher wants to estimate μ, the mean weight of babies born to women over the age of 40.

The researcher chooses a random sample of 100 pregnant women who are over 40. Using the mean birth weight of the 100 babies in the sample, the researcher calculates the 95% confidence interval for μ.

With 95% confidence, the researcher estimates the mean birth weight of all babies born to women who are over the age of 40 to be between 2935 and 3135 grams.

The researcher wants to maintain the 95% level of confidence but report a confidence interval with a smaller margin of error. What should she do

a) Redo the study and choose a different sample of size 100

b) Redo the study, but this time with a sample size 64

c) Redo the study, but this time with a sample 225

Answer:

Option C) is the correct answer.

C) Redo the study, but this time with a sample 225

Step-by-step explanation:

Given that;

A medical researcher wants to estimate μ, the mean weight of babies born to women over the age of 40.

n = 100

95% confidence interval is given ( 2935, 3135)

But the researcher wants to maintain the 95% level of confidence as well as smaller margin of error.

Therefore we have to reduce the margin of Error

and we know that if the sample size increases, the margin of Error decreases i.e it becomes smaller.

so the best option for the researcher is to redo the study with a larger sample size so the margin of Error becomes smaller.

Option C) is the correct answer.

c) Redo the study, but this time with a sample 225

Answer:

The 90% confidence interval is (0.0131, 0.0845).

Step-by-step explanation:

Before finding the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

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

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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Old process:

125 out of 580, so:

\(p_O = \frac{125}{580} = 0.2155\)

\(s_O = \sqrt{\frac{0.2155*0.7845}{580}} = 0.0171\)

New process:

130 out of 780. So

\(p_N = \frac{130}{780} = 0.1667\)

\(s_N = \sqrt{\frac{0.1667*0.8333}{780}} = 0.0133\)

Distribution of the difference:

\(p = p_O - p_N = 0.2155 - 0.1667 = 0.0488\)

\(s = \sqrt{s_O^2+s_N^2} = \sqrt{0.0171^2 + 0.0133^2} = 0.0217\)

Confidence interval:

\(p \pm zs\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

The lower bound of the interval is:

\(p - zs = 0.0488 - 1.645*0.0217 = 0.0131\)

The upper bound of the interval is:

\(p + zs = 0.0488 + 1.645*0.0217 = 0.0845\)

The 90% confidence interval is (0.0131, 0.0845).

Answer: 0.665.

Step-by-step explanation:

60% of the bags are from supplier A, and 95% of them are undamaged.

40% of the bags are from supplier B, and 75% of them are undamaged.

Then, the number of undamaged bags from supplier A is:

0.6*0.95 = 0.57 or 57%

from B is:

0.4*0.75 = 0.3 or 30%

This means that the percentage of undamaged bags is:

57% + 30% = 87%.

Then, the probability that an undamaged bag is from supplier A is equal to the percentage of undamaged bags that came from supplier A (57%) and the total percentage of undamaged bags (87%) this is:

P = 57%/87% = 0.655 or 65.5%

Then the probability that an undamaged bag comes from supplier A is 0.665.

Answer:it might be A

The value of x in the pentagon JKLMN is 7.2.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The pentagons ABCDE and JKLMN are similar.

when two figures have the same shape but their sizes are different, then such figures are called similar figures.

We need to find the value of x.

1/1.8=4/x

Apply cross multiplication

x=4×1.8

x=7.2

Hence, the value of x in the pentagon JKLMN is 7.2.

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Answer:

x

=

3

2

−

y

2

Step-by-step explanation: just write them in order sorry for how i rote it

Answer: 7725.5775

Step-by-step explanation:

d=27

r=d/2=27/2=13.5

the volume of the spherical balloon= 3.14*r^3

                                                       = 3.14*(13.5)^3

                                                       = 7725.5775

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Answer:

D

Step-by-step explanation:

Because it is on the outside

Answer:

its c becuase i did the test and got it correctomonzo

Step-by-step explanation:

Answer:

∛18 * ∛18 * 18/(∛18)²

Step-by-step explanation:

Let the surface area of the box be expressed as S = 2(LB+BH+LH) where

L is the length of the box = x

B is the breadth of the box = x

H is the height of the box = h

Substituting this variables into the formula, we will have;

S = 2(x(x)+xh+xh)

S = 2x²+2xh+2xh

S = 2x² + 4xh and the Volume V = x²h

If V = x²h; h = V/x²

Substituting h = V/x² into the surface area will give;

S = 2x² + 4x(V/x²)

Since the volume V = 18cm³

S = 2x² + 4x(18/x²)

S =  2x² + 72/x

Differentiating the function with respect to x to get the minimal point, we will have;

dS/dx = 4x - 72/x²

at dS/dx = 0

4x - 72/x² = 0

- 72/x² = -4x

72 = 4x³

x³ = 72/4

x³  = 18

\(x = \sqrt[3]{18}\)

Critical point is at \(x = \sqrt[3]{18}\)

If x²h = 18

(∛18)²h =18

h = 18/(∛18)²

Hence the dimension is  ∛18 * ∛18 * 18/(∛18)²

If the bus leaves at 7:15 am then it is expected to arrive at  9:40 am.

Given,

Bus leaves at 7:15 am

Total time bus takes to arrive = two and one quarter hours.

we are aske to determine the time at which bus will arrive = ?

convert the time:

two and one quarter hours = 2 × 1/4

where one quarter = 1/4

= 2.25 hour

which means 2 hours and 25 minutes

Now calculate total time:

from 7:15 am :

2 hours :

7:15 to 8:15 = 1 hour

8:15 to 9:15 = 2 hours

add 25 minutes to 9:15

= 9:40

hence the bus reaches at 9:40 am

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Answer:

78 cups of coffee sold in a day

Answer:

the answer is 0.34 (look down to see a trick to find a fast answer0

Step-by-step explanation:

Remember, when people say 34%, it means 34% of 1. So, 34% is equivalent to .34. We multiply 50 by .34 to get 34% of 50. So, 34% of 50 is 17

Percentages are communative. 34% of 50 is the same as 50% of 34.

Answer:

They are equal, so =

Step-by-step explanation:

We know that one-half is .50.  3/2 is an improper fraction and when we solve to a decimal, we get 1.5.  

Answer: Positive and negative 8

Step-by-step explanation:

Take the square root on both sides

\(\sqrt{x^2} =\sqrt{64}\)

x = ±8

Answer:

x = - 8, x = 8

Step-by-step explanation:

\( {x}^{2} = 64 \\ \\ x = \pm \sqrt{64} \\ \\ x = \pm8 \\ \\ x = - 8, \: \: x = 8\)

Answer:

Rate of change = 3

Step-by-step explanation:

The rate of change is the slope.

Slope = 3

Answer: 3x³+ 9x + -11

Step-by-step explanation: Combine Like Terms: 4x + 4x³+-11+-2x+-x³+7x

=(4x³+-x³) + (4x + -2x +7x) + (-11)

=3x³+ -9x+ -11

The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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(a) The probability that O1 gets the Volvo is  3/10 .

(b) The probability that O2 or O5 will get the Volvo is 1/2  .

In the question ,

it is given that ,

the five officials : O1, O2, O3 , O4 , O5 are to be assigned five different city cars: a Escort,  Lexus,  Nissan, the Taurus, and the Volvo .

From the given data , the table formed is shown below .

From the table , we can observe that ,

O1 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities

O2 will not drive the Taurus​ . So, he has chance of getting one car among Escort , Nissan ,Lexus, & Volvo = 4 possibilities

O3 will not drive the Lexus or Volvo​ . So, he has chance of getting one car among Escort , Nissan ,Taurus = 3 possibilities

O4 will not drive the Lexus so he has chance of getting one car among Escort , Nissan ,Taurus, Volvo = 4 possibilities

O5 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities .

The  20 possible arrangements for E,L,N,T,V are :

{ (O2, O1, O3, O4, O5),  (O2, O1, O3, O5, O4),  (O2, O1, O4, O3, O5),  

(O2, O5, O3, O1, O4),  (O2, O5, O3, O4, O1),(O2, O5, O4, O3, O1),  

(O3, O1, O2, O4, O5),  (O3, O1, O2, O5, O4),  (O3, O1, O4, O5, O2),  

(O3, O2, O4, O1, O5), (O3, O2, O4, O5, O1),  (O3, O5, O2, O1, O4),  

(O3, O5, O2, O4, O1),  (O3, O5, O4, O1, O2),  (O4, O1, O2, O3, O5),

(O4, O1, O3, O5, O2),  (O4, O2, O3, O1, O5),  (O4, O2, O3, O5, O1),  

(O4, O5, O2, O3, O1),  (O4, O5, O3, O1, O2)  }

Part(a)  : The probability that O1 gets the Volvo is = 6/20 = 3/10 .

and

Part(b) :

Probability of O2 or O5 gets the Volvo = (Probability of O2 getting Volvo
) + (Probability of O5 getting Volvo) .

= 4/20 + 6/20

= 10/20 = 1/2 .

Therefore , the required probability for (a)  is 3/10 and for (b) is 1/2  .

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Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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Answer:

A

Step-by-step explanation: hope it helps

Answer:

-5/6

Step-by-step explanation:

\(-\frac{5}{7}\) is then multiplied by the reciprocal

\(-\frac{5}{7}*\frac{7}{6}\) cross cancel the sevens

-\(\frac{5}{6\\}\) is your answer

Answer:

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

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Answer:

42.67 Tablespoons of onion

Step-by-step explanation:

6/16 = 16/x

256 = 6x

x = 42.67

This distribution of snowfall amounts is skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches