6 less than the number y

Answer:

D. 1/9

Step-by-step explanation:

The x-coordinate is -1/3

Answer: a. 1.981 < μ < 2.18

              b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

[tex]\overline{x}=\frac{\Sigma x}{n}[/tex]

[tex]\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}[/tex]

[tex]\overline{x}=[/tex] 2.08

Now, we estimate standard deviation:

[tex]s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }[/tex]

[tex]s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }[/tex]

s = 0.1564

For t-score, we need to determine degree of freedom and [tex]\frac{\alpha}{2}[/tex]:

df = 12 - 1

df = 11

[tex]\alpha[/tex] = 1 - 0.95

α = 0.05

[tex]\frac{\alpha}{2}=[/tex] 0.025

Then, t-score is

[tex]t_{11,0.025}[/tex] = 2.201

The interval will be

[tex]\overline{x}[/tex] ± [tex]t.\frac{s}{\sqrt{n} }[/tex]

2.08 ± [tex]2.201\frac{0.1564}{\sqrt{12} }[/tex]

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

Answer:

24

Step-by-step explanation:

Let x = the 10's digit

Let y = the units

then

10x+y = "a number"

:

A number is 4 times the sum of its digits.

10x + y = 4(x + y)

10x + y = 4x + 4y

10x - 4x = 4y - y

6x = 3y

Simply, divide by 3

2x = y

;

The units digit is two more than the tens digit.

y = x + 2

Replace y with 2x

2x = x + 2

2x - x = 2

x = 2

then

y = 4

:

24 is the number

The two digit number is equivalent to 24.

Given is that a number is 4 times the sum of its digits. The units digit is two more than the tens digit.

Let the number be {A}. Then, we can write -

A = 10x + y                             ......... (1)

also

A = 4(x + y)                            ........... (2)

The units digit is two more than the tens digit, so we can write -

y = x + 2                               .............. (3)

So, we can write -

10x + y = 4(x + y)

10x + (x + 2) = 4(x + x + 2)

11x + 2 = 8x + 8

3x = 6

x = 2

So, we can write {y} as -

y = 4

Number will be -

10 x 2 + 4

n = 24

Therefore, the number will be equivalent to 24.

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

brainly.com/question/1041084

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Answer:

The smaller number is 8

The bigger number is 11

Step-by-step explanation:

let the first number be A

let the second number be B

A + 2B = 30..... equation 1

A + B = 19...... equation 2

Subtract equation 2 from 1.

A + 2B = 30

- A + B = 19

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

0 + B = 11

B = 11

Substitute B = 11 into equation 2

A + B = 19

A + 11 = 19

collect like terms

A = 19-11

A = 8.

A= 8 and B = 11

Answer:

m<QRP=42degrees

m<Q=79degrees

m<P=59degrees

Step-by-step explanation:

Answer:

15.75

Step-by-step explanation:

Answer:

f(3) =-1

Step-by-step explanation:

f(x) = x^2 - 5x + 5

Let x=3

f(3) = 3^2 -5(3) +5

      = 9 -15+5

      = -6+5

      =-1

Cevap:9 umarım doğrusunu seçersin

Answer:

45

Step-by-step explanation:

Since each bag is 1/3 of a pound. That means there are 3 bags that make 1 pound. Therefore 15x3 is 45, so you could make 45 bags of coffee

120 : 80

= 12 : 8

= 6 : 4

= 3 : 2

This is the answer

Answer:

120/10=12

80/10=8

12/4=3

8/4=2

Nothing can further decide, then we have

3:2

Answer:

3 mi/min

Step-by-step explanation:

speed =distance/time

900/300=3

Answer:

Step-by-step explanation:

7(10)-7(3x)

80-21x

Answer:

70+21x

Step-by-step explanation:

multiply the number  that outside on the (    ) for the numbers that are in side

Step-by-step explanation:

step 1. -5f + 5 < 15

step 2. -5f < 10 (subtract 5 from each side)

step 3. f > -2 (divide both sides by -5 - dont forget to flip arrow when dividing by a negative number).

Answer:

4.2

Step-by-step explanation:

the kilometro is 5 and race is 21. 5÷21=4.2

Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

a = 10 inches

b = 8 inches

d = ?

Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

(hypotenuse)² = (Adjacent)² + (Opposite)²

d² = 10² + 8²

d² = 100 + 64

d² = 164

∴ d = √(164)

d = 12.806 inches

d = 12.8 inches (to the nearest tenth of an inch)

N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.

Answer:

v(0) = 19,900, v(11) = 3,787.36

Step-by-step explanation:

v(0) = 19,900 (0.86)^0 = 19,900 * 1 = 19,000

v(11) = 19,900 (0.86)^11 = 19,900 * 0.190319 = 3,787.36

Answer:

45.

Step-by-step explanation:

Since Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute, to determine what is the initial value of the linear function that represents the situation, the following calculation must be performed:

45 (starting number) - 15(number of gallons per minute) X(minutes) = Y

Therefore, the equation would be 45 - 15X = Y, with which the initial value of the linear function that represents the situation is 45.

Answer:

We need the picture

Step-by-step explanation:

Answer:

y=12

Step-by-step explanation:

y=x+8

9=1+8

10=2+8

and so in...

y=?

4+8=12

Answer:

therefore, to produce 1000 watches , it would cost 9000 dollars.

Price : 9 dollars a watch

Step-by-step explanation:

C=6000 + 3x

what is the cost of producing 1000 watches?

first do this

C= (1000)= 6000 + 3(1000)

C= (1000)= 6000 +3000

C= 9000

Answer:sorry I don’t speak proeze najsztbsza but do you know the way

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

30% of 40 is 12, 40-12=28, the answer is 28.

Answer:

A

Step-by-step explanation:

v=1/3Ab*h= 1/3(72)*6

72*2= 144 cm3 so

A

if my answer helps please mark as brainliest.

Answer:

2x+3x2 +x3 −5

Step-by-step explanation:

Hope this helps

Answer:

x^2 - 2x + 2

step-step explanation:

Answer:

the answer is b. The mode of the data in dot plot 1 is less than the mode of the data in dot plot 2.

Step-by-step explanation:

In the dot plots 1 and 2, the statement which is true is that the mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.

The dot plot is the way oif representation of the data. This data is plooted in the form of points or dots over an x-y axis. The dot polt is also known as the strip plot.

Dot plot 1 is the top plot. The value of it are as,

2,3,4,5,5,6,6,6,6,7,7,7,8,8,9,10

Dot plot 2 is the bottom plot. The value of it are as,

1,2,2,3,3,4,4,4,5,5,5,6,6,7,8,9

The options given in the problem are,

Range is difference between the highest and lowest value. The range of the first dot plot is,

[tex]r_1=10-2=8[/tex]

The range of the Second dot plot is,

[tex]r_2=9-1=8[/tex]

Range of dot plots are equal.

Mean of the dot plot one is 6.1875 and mean of the dot plot second is 4.625.

The median of the data in dot plot 1 is 6 and the median of the data in dot plot is 4.5. Thus they are not equal.

The mode of the data in dot plot 1 is 6 and the mode of the data in dot plot 2 is 4 and 5. Thus this is not correct option.

Hence, in the dot plots 1 and 2, the statement which is true is that the mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.

Learn more about the dot plot  here;

https://brainly.com/question/15853311

Answer:

Picture or question???????

Answer:

$125 is the sale price.

Step-by-step explanation:

Answer:

24.24% off

Price of tool set: $125

Step-by-step explanation:

$40 is the price change

You can divide 40 by the original price which is 165 and then multiply by 100 to get your percentage change.

40 / 165 = 0.2424

0.2424 * 100 = 24.24

So there is 24.24% discount.

Slope = change in Y / change in x

Slope = (-7 - 2) / (-3 - -3)

Slope = -9/0

Because the change in x = 0, the slope is undefined.

The answer is the slope is  undefined.