How many tissues should a package of tissues​ contain? Researchers have determined that a person uses an average of 60 tissues during a cold. Suppose a random sample of 10 comma 000 people yielded the following data on the number of tissues used during a​ cold: x overbar equals 53 comma s equals 23. We want to test the alternative hypothesis Upper H Subscript a​: muless than60. State the correct rejection region for alpha equals 0.05 .

The result follows directly from properties of modular arithmetic:

[tex]b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}[/tex]

That is,

[tex]b\equiv5\pmod{12}[/tex]

means we can write [tex]b=12n+5[/tex] for some integer [tex]n[/tex]. Then

[tex]7b=7(12n+5)=12(7n)+35[/tex]

and taken mod 12, the first term goes away, so

[tex]7b\equiv35\pmod{12}[/tex]

etc

Answer:

it must be 0.5

Step-by-step explanation:

0.05 x 10 = 0.5

I want brainliest!!!

Answer:

12.57

Step-by-step explanation:

The 5 in the number 10.059 is placed at the hundredth place. i.e. the value of 5 in 10.059 is 0.05. Now, ten times the value of 5 = 10 × 0.05 =  0.5. Let us take 12.57. We see that 5 is placed at the tenths place and has value 10 times the value of 5 in 10.059. Hence, the number comes out to be 12.57.

Answer:

By splitting two entries, a logical number can be generated.

Step-by-step explanation:

By splitting two entries, a logical number can be generated.

Answer above.

Example: 0, 1, 1/2, 22/7, 12345/67

Hope this helps.

Answer:

Rational numbers are numbers that can turn into fractions.

[tex]\text {A number is Rational if it can be written as }\frac{p}{q}.\\\text {'p' and 'q' must be integers.}\\\\q\neq 0[/tex]

All whole numbers and integers are rational.

For decimals, they have to be repeating or non-terminating.  

Numbers that cannot be turned into fractions under the 'p/q' guidelines are irrational numbers.

Answer:

1102 minutes

Step-by-step explanation:

Easy way to do it:   1000 + 102 = 1102

Step by step

1: 105.60=75+0.30(x-1000)

2: 105.60 =75+0.30x−300

3: 105.60=0.30x−225

4: 1056=3x−2250

5: 1056+2250=3x

6: 3306=3x

7: x=1102

Hope this helps.

Answer:

  15)  A) {3i√2, -3i√2}

  16)  C) {5i√2/3, -5i√2/3}

Step-by-step explanation:

15)

  [tex]6r^2=-108\\\\r^2=\dfrac{-108}{6}=-18\\\\r=\pm\sqrt{-18}\\\\\boxed{r=\pm3i\sqrt{2}}[/tex]

__

16)

  [tex]9p^2-8=-58\\\\9p^2=-50\qquad\text{add 8}\\\\p^2=-\dfrac{50}{9}\qquad\text{divide by 9}\\\\p=\pm\sqrt{-\dfrac{50}{9}}\qquad\text{take the square root}\\\\\boxed{p=\pm\dfrac{5\sqrt{2}}{3}}[/tex]

Answer:

  36,2,13,21

Step-by-step explanation:

At its simplest, it is a repeating sequence of 4 numbers:

  36,2,13,21

So, those are the four missing numbers.

Answer:

Step-by-step explanation:

A suitable table or calculator is needed.

One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...

  0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16

__

The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...

  0.66799·26,000 = 1737 . . . . . below 19.76

_____

Comment on the first number

The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.

Answer:

  6120 cm³

Step-by-step explanation:

You want the volume of a rectangular prism 17 cm by 20 cm by 18 cm.

The volume of a rectangular prism is given by the formula ...

  V = LWH

Using the given values for length, width, and height, we find the volume to be ...

  V = (17 cm)(18 cm)(20 cm) = 6120 cm³

The volume of the prism is 6120 cubic centimeters.

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Answer:

27 m² (blue fabric)

9 m² (brown fabric)

Step-by-step explanation:

Area of a triangle = 1/2*base *height

Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)

Area of a square = side² = 3² = 9 m² (brown fabric)

Answer:

When you do adding and subtracting with decimals just line up the decimal points and do the math regularly

0.72

-0.7

_____

0.02 meters further so Hector's car traveled farther

0.6

+0.25

_____

0.85 swam in total

Hope this helps

Step-by-step explanation:

Answer:

2310m^3

Step-by-step explanation:

base area which is the circle = πr^2

But diameter, d = 14, r = 14/2 = 7

area = π × (7)^2 = 22/7 × 49 = 22 × 7 = 154

Volume = base area × height

= 154 × 15 = 2310

Answer:

2309.1

Step-by-step explanation:

Deltamath

Answer:

The second option ,$ 352.95  is correct

Step-by-step explanation:

The total cost of the home is the list price of $89,000 plus the sales tax of 4.2%

total cost=$89,000+($89,000*4.2%)=$92,738

loan amount=total cost-down payment=92738

-3000=$89738

APR is 4.75% since they have an excellent credit score

interest for first month=89738

*4.75%/12=$ 355.21  

Principal payment in first month=total payment-interest=925.67- 355.21 =$570.46

principal left after first payment=$89,738

-$570.46=$89,167.54  

second month interest payment= 89,167.54*4.75%/12=$ 352.95

The correct option is $ 352.95  which is the second option

Answer:

x < -36

Step-by-step explanation:

Subtract 14 from both sides:

14 + x < -22

-14         - 14

___________

x < -36

Answer:

1. re-arrange numbers in order.

37, 38, 43, 45, 57, 57, 58

THE MEDIAN IS 45

2. To find Mean, add up all the numbers then divide by how many numbers there are.

when added together, it is 335

335 / 7

47.857

THE MEAN IS 47.857

Answer:

x > 15

Step-by-step explanation:

simplify both sides of the inequality

2x + 9 > 39

subtract 9 from both sides

2x + 9 - 9 > 39 -9

2x > 30

divide both sides by 2

2x/2 > 30/2

x > 15

Answer:

390 m^2

Step-by-step explanation:

52(7.5)=390

Answer:

The slope is 5/4

Step-by-step explanation:

In the equation y=mx+b, m is always the slope.

Answer: c

Step-by-step explanation:

5/4

Answer:

The 99% confidence interval for this sample mean is between 2.895 ppb and 2.903 ppb.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.7074

The margin of error is:

M = T*s = 3.7074*0.001 = 0.004

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.899 - 0.004 = 2.895 ppb.

The upper end of the interval is the sample mean added to M. So it is 2.899 + 0.004 = 2.903 ppb.

The 99% confidence interval for this sample mean is between 2.895 ppb and 2.903 ppb.

Explanation:

The domain is the horizontal extent of the graph of the function. It is the set of all values of the independent variable for which the function is defined.

In a table or list of (x, y) or (x, f(x)) values the domain is the list of x-values.

On a graph, the domain is the horizontal extent of the graph, excluding any "holes" or vertical asymptotes. (The function is "undefined" at those places.)

__

For a polynomial, the domain is generally "all real numbers."

For rational functions, the domain always excludes any x-values that make any denominator be zero.

For functions such as logarithms or roots, the domain is the set of values for which the function is defined. Even roots (square root, 4th root, ...) are only defined for non-negative numbers. Logarithms are only defined for positive numbers.

__

In some problems, a model is often used that is defined for all values of the independent variable. For example, a height function may be modeled using a quadratic: h(t) = -4.9t^2 +30t +6. This is defined for all values of t, but the "practical domain" is the set of values of t ≥ 0 and before h(t) = 0. That is, we don't care about negative time or negative height.

Answer:

it’s a

Step-by-step explanation:

Answer:

First answer is -16, second answer is 10

Step-by-step explanation:

Just did it on Edge

Answer:

  see below

Step-by-step explanation:

The two terms 9 and -10 can be combined to give -1.

The two terms 2x and -18x can be combined to give -16x.

Fully simplified, the expression would be ...

   -16x +14y -1

__

Anything with different coefficients is not equivalent. Anything with only one pair of terms combined is "not fully simplified."

Answer:

D. x = -1.

Step-by-step explanation:

I have attached an explanation to your problem. Please see the attachment  below.

Answer:

x= -1

Step-by-step explanation:

it is always the x value of where the vertex is!

I want brainliest plz

Answer:

m-mn

Step-by-step explanation:

Answer:

m-mn

Step-by-step explanation:

The product would be multiplacation.

m*n=mn

And you are subtracting that from m.

So, the answer would be m-mn.

Hope this helped.

Answer:

6.)66 degrees

7.)20 degrees

Step-by-step explanation:

Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees

If you subtract 114 from 180 you get 66 degrees

Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees

If you subtract 70 from 90 you get 20

From what I see in the problem, the expression is

[tex](\frac{3^a^2}{3a^-1} )^k[/tex]

To solve, plug in a and k.

[tex](\frac{3^(5)^2}{3*5^-1} )^-2[/tex]

3*5^2=75

(3*5)^-1 = 1/15

[tex]75 / \frac{1}{15} = 5[/tex]

5^-2 = 1/25

Answer:

11/46

Step-by-step explanation:

Given that there are 24 cards numbered 1 - 24

Even Cards = 2,4,6,8,10,12,14,16,18,20,22,24

Odd Cards = 1,3,5,7,9,11,13,15,17,19,21,23

We can see above that in the beginning, we have:

12 odd and 12 even cards (total of 24 cards)

If we draw the first card and it is even,

P(even number on first draw) = 12/24 = 1/2

If the card is not replaced, now we have:

12 odd cards and 11 even cards (total of 23 cards)

If we draw the 2nd card and it is even,

P(even number on second draw) = 11/23

Hence probabliliy of drawing the first even card, not replacing and then drawing another even card

= (1/2) x (11/23)

= 11/46

Answer:

11/46

Step-by-step explanation:

between 1  and 24 there are 12 even numbers.

the probability of selecting an even number the first time is 12/24 = 1/2

the probability of the second one being an even number without replacement is 11/23

the probability of both being even numbers without replacement is:

1/2 * 11/23

= 11/46

Answer:

D

Step-by-step explanation:

Like I said last time, since the graph is moved up by 3 units, the answer is choice D. Hope this helps!

Answer:

35.7±0.05 kg

Step-by-step explanation:

Including the uncertainty, the mass of dog is -

35.7 + 0.1 kg.

We have Mason's Dog.

We have to determine how should Mason express his dog's weight, including the uncertainty.

The uncertainty is the experimenter's best estimate of how far an experimental quantity might be from the true value.

According to the question -

The scale has increments of 0.1 kilograms (kg).

Mason's actual weight - 35.7 kg

Therefore, including the uncertainty, the mass of dog is -

35.7 + 0.1 kg

Hence,  including the uncertainty, the mass of dog is -

35.7 + 0.1 kg

To solve more questions on Uncertainty, visit the link below-

https://brainly.com/question/24121107

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