Round 141.999 to the next tenth

Answer:

AB = PQ

Step-by-step explanation:

ABC = PQR

The angles are equal and the segments are equal

for the angles

A = P

B = Q

C = R

For the segments

AB = PQ

BC = QR

AC = PR

Answer:

Line AB is approximately equal to Line PQ

Answer:

(6,5)

Step-by-step explanation:

In (1,2), 1 is is x so any number added to it goes to the right or left.  2 is y so any number added to it goes up or down.  It says translate right 5 units so that will be for x, a.k.a 1.  

1+5= 6 (new x)

Same with y, a.k.a 2.  It says up 3 units, so it must mean add on to y.

2+3= 5 (new y)

We now take our new values and put them back in the parentheses:

(6,5)

Answer:

hello your question has a missing table attached below is the missing table

Answer : 0.55%

Step-by-step explanation:

The complete table related to the answer given above is attached below

using a 0.10 level of significance the percentage of the variance in the Y-values that shows a linear relationship with the X-values = 0.55%

The values for X^2 , y^2  and x*y is determined an entered into a table ( attached below as well )

Hello, first of all we can notice that

[tex]5^2-3*5-10=25-15-10=0[/tex]

and

[tex]2*5-10=0[/tex]

and 0 divided by 0 is undetermined.

So, we need to factorise and simplify first.

[tex]x^2-3x-10=(x-5)(x+2)\\\\\text{Because we already known that 5 is a zero...}\\\\\text{... and the sum of the zeroes is 3 = 5 - 2 and the product is -10 = 5 * (-2).}[/tex]

For x different from 5, we can write

[tex]\dfrac{x^2-3x-10}{2x-10}=\dfrac{(x-5)(x+2)}{2(x-5)}=\dfrac{x+2}{2}[/tex]

So, the limit when x tends to 5 is

[tex]\dfrac{5+2}{2}=\boxed{\dfrac{7}{2}}[/tex]

Thank you

Answer:

3.3333333333333333333333 just 3.3

Step-by-step explanation:

Answer:  120 ways

Step-by-step explanation:

given data:

no of chocolate = 10pcs

to be shared among three individuals who are John, Harry and Donald.

there is no restriction to how it can be shared amongst them.

this Problem can be solved using combination as the order with which it would be shared doesn’t matter.

solution:

n = 10

r = 3

= 10C3

= n! / ( n - r )! r !

= 10! / ( 10 - 3 ! ) 3!

= 10! / ( 7! ) 3!

= 120

the chocolate can be shared amongst them in 120ways.

Answer:

$35.88

Step-by-step explanation:

Multiply 29.9 by 1.20 to get the original price

hope this helps:)

Answer: C

Step-by-step explanation:

For this problem, let's find the inverse for all f(x) and see which pairs with the g(x). To find the inverse, you replace the x with y and y with x. Then you solve for y.

A. Incorrect

[tex]y=\frac{x-8}{4} +9[/tex]                                 [replace x with y and y with x]

[tex]x=\frac{y-8}{4} +9[/tex]                                  [subtract both sides by 9]

[tex]x-9=\frac{y-8}{4}[/tex]                                  [multiply both sides by 4]

[tex]4(x-9)=y-8[/tex]                            [add both sides by 8]

[tex]4(x-9)+8=y[/tex]

This does not match g(x), therefore, they are not inverses of each other.

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

B. Incorrect

[tex]y=4(x-12)+2[/tex]                         [replace x with y and y with x]

[tex]x=4(y-12)+2[/tex]                         [subtract both sides by 2]

[tex]x-2=4(y-12)[/tex]                        [divide both sides by 4]

[tex]\frac{x-2}{4} =y-12[/tex]                                [add both sides by 12]

[tex]\frac{x-2}{4} +12=y[/tex]

This does not match g(x), therefore, they are not inverses of each other.

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

C. Correct

[tex]y=3(\frac{x}{2})-4[/tex]                                [replace x with y and y with x]

[tex]x=3(\frac{y}{2} )-4[/tex]                                [add both sides by 4]

[tex]x+4=3(\frac{y}{2} )[/tex]                                [divide both sides by 3]

[tex]\frac{x+4}{3} =\frac{y}{2}[/tex]                                       [multiply both sides by 2]

[tex]\frac{2(x+4)}{3} =y[/tex]

This matches g(x), therefore, they are inverses of each other.

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

D. Incorrect

[tex]y=3(\frac{2}{x} )-10[/tex]                             [replace x with y and y with x]

[tex]x=3(\frac{2}{y} )-10[/tex]                             [add both sides by 10]

[tex]x+10=3(\frac{2}{y} )[/tex]                              [divide both sides by 3]

[tex]\frac{x+10}{3} =\frac{2}{y}[/tex]                                     [multiply both sides by y]

[tex](y)(\frac{x+10}{3} )=2[/tex]                              [multiply both sides by [tex]\frac{3}{x+10}[/tex] or divide by [tex]\frac{x+10}{3}[/tex]]

[tex]y=\frac{6}{x+10}[/tex]

This does not match g(x), therefore, they are not inverses of each other.

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

After going through each problem, we found that the correct answer is C.

The complete question is missing, so i have attached it

Answer:

A) Reject the null hypothesis

B) Reject the null hypothesis

C) Fail to reject the null hypothesis

D) Reject the null hypothesis

Step-by-step explanation:

A) We are given;

Ha: μ > μ_o (This is thus, a one-tail problem)

n = 11

T = 1.91

Using online p-value from t-score calculator as attached with a DF = n - 1 = 11 - 1 = 10, and t-value = 1.91, and significance level of 0.05, and 1 tail, we have;

The p-value is 0.042602

P-value is less than significance level, thus, we will reject the null hypothesis

B) We are given;

Ha: μ < μ_o (This is thus, a one-tail problem)

n = 17

T = -3.45

Using online p-value from t-score calculator as attached with a DF = n - 1 = 17 - 1 = 16, and t-value = 1.91, and significance level of 0.05, and 1 tail, we have;

The p-value is  0.001647

P-value is less than significance level, thus, we will reject the null hypothesis

C)We are given;

Ha: μ ≠ μ_o (This is thus, a two-tail problem)

n = 7

T = 0.83

Using online p-value from t-score calculator as attached with a DF = n - 1 = 7 - 1 = 6, and t-value = 0.83, and significance level of 0.05, and 2 tail, we have;

The p-value is 0.438308.

P-value is higher than the significance level, thus, we will fail to reject the null hypothesis.

D) We are given;

Ha: μ > μ_o (This is thus, a one-tail problem)

n = 28

T = 2.13

Using online p-value from t-score calculator as attached with a DF = n - 1 = 28 - 1 = 27, and t-value = 2.13, and significance level of 0.05, and 1 tail, we have;

The p-value is 0.021218

P-value is lower than the significance level, thus, we will reject the null hypothesis

P-value is lower than the significance level, thus, we will reject the null hypothesis.

Answer:

$110,759.36

Step-by-step explanation:

136645-89188=47457

47457/11=4314.272727

4314.272727x6=25885.636363

136645-25885.64=110.759.36

Answer:

1.4958 x 10^2

Step-by-step explanation:

The product of the multiplication is 149.58. The formula for standard notation is: A x 10^n, where 1<=A<10.

Scientific notations are the way through which a very small or a very large number can be written in shorthand. Water covers about 138,500,000 square miles of Earth's surface.

Scientific notations are the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

Given that the Water covers about 1.385 x 10⁸ square miles of Earth's surface. The area is given in scientific notations, this can be written in the standard form as shown below,

1.385 x 10⁸ square miles = 138,500,000 square miles

Hence, Water covers about 138,500,000 square miles of Earth's surface.

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Answer:

x=34

Step-by-step explanation:

x + (x + 11) =79

Combine like terms

2x+11 = 79

Subtract 11 from each side

2x+11-11 = 79-11

2x = 68

Divide by 2

2x/2 = 68/2

x = 34

Answer:

[tex]\Huge \boxed{x=34}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]x+x+11=79[/tex]

Combining like terms.

[tex]2x+11=79[/tex]

Subtracting 11 from both sides.

[tex]2x=68[/tex]

Dividing both sides by 2.

[tex]x=34[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

The answer to your question is 6.4 feet

Answer:

[tex][3,4][/tex] : [tex]r = 1[/tex], [tex][4,5][/tex] : [tex]r = 0.59[/tex], [tex][5,6][/tex] : [tex]r = 0.42[/tex]

Step-by-step explanation:

Given a function [tex]f(x)[/tex] that is continuous on [tex][a,b][/tex], the average rate of change is:

[tex]r = \frac{f(b)-f(a)}{b-a}[/tex]

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds, dimensionless.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Images of the function evaluated at lower and upper bounds, dimensionless.

Let be [tex]f(x) = \log_{2}(3\cdot x - 6)[/tex], then:

[tex][3,4][/tex]

[tex]a = 3[/tex] and [tex]b = 4[/tex]

[tex]f(3) = \log_{2}[3\cdot (3) - 6][/tex]

[tex]f(3) \approx 1.585[/tex]

[tex]f(4) = \log_{2}[3\cdot (4) - 6][/tex]

[tex]f(4) \approx 2.585[/tex]

[tex]r = \frac{2.585-1.585}{4-3}[/tex]

[tex]r = 1[/tex]

[tex][4,5][/tex]

[tex]a = 4[/tex] and [tex]b = 5[/tex]

[tex]f(4) = \log_{2}[3\cdot (4) - 6][/tex]

[tex]f(4) \approx 2.585[/tex]

[tex]f(5) = \log_{2}[3\cdot (5) - 6][/tex]

[tex]f(5) \approx 3.170[/tex]

[tex]r = \frac{3.170-2.585}{5-4}[/tex]

[tex]r = 0.59[/tex]

[tex][5,6][/tex]

[tex]a = 5[/tex] and [tex]b = 6[/tex]

[tex]f(5) = \log_{2}[3\cdot (5) - 6][/tex]

[tex]f(5) \approx 3.170[/tex]

[tex]f(6) = \log_{2}[3\cdot (6) - 6][/tex]

[tex]f(6) \approx 3.585[/tex]

[tex]r = \frac{3.585-3.170}{6-5}[/tex]

[tex]r = 0.42[/tex]

Answer:

Please mark me as brainliest :)

Step-by-step explanation:

Hey there! I'm happy to help!

Let's pretend that we are building a small sundae. We have 3 choices of ice cream flavors.

Now, we want to pick a topping. We have 4 choices here.

After we choose a topping, we can pick another. We only have 3 choices now because we need different toppings, and we already used one.

We want to find how many possible combos we can make. What we do is multiply all of these numbers of choices, and this will show us how many possible sundaes there are.

3×4×3=36

Therefore, there are 36 different sundaes that can be made.

Have a wonderful day! :D

Hey there! I'm happy to help!

Let's look at all of the perfect squares (numbers with integer square roots) so that we can see where the square root of 12 lies.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=100

We see that √12 would be in between √9 and √16 (3 and 4), so the square root of 12 is in between 3 and 4.

I hope that this helps! Have a wonderful day! :D

The square root of 12 lies between the whole numbers 3 and 4.

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way.

Let's look at all of the perfect squares (numbers with integer square roots) so that we can see where the square root of 12 lies.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=100

We see that √12 would be in between √9 and √16 (3 and 4), so the square root of 12 is in between 3 and 4.

Therefore, the square root of 12 lies between the whole numbers 3 and 4.

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Answer:

(r. q) (7) = [tex] \pm 220[/tex]

(q.r) (7) = [tex] \pm 220[/tex]

Step-by-step explanation:

[tex]q(x) = {x}^{2} + 6 \\ q(7) = {7}^{2} + 6 = 49 + 6 = 55\\ r(x) = \sqrt{x + 9} \\ r(7) = \sqrt{7 + 9} = \sqrt{16} = \pm 4 \\ \\ (r.q)(7) = r(7).q(7) = \pm 4 \times 55 = \pm220 \\ \\ (q.r)(7) = q(7).r(7) = 55 \times \pm 4 = \pm220 [/tex]

Answer:

b. 8.91,8.9,8.19,8.1,8.098

c. 20.005,20,19.06,2.05,1.905

Answer:

b.  8.91,  8.9, 8.19,  8.1, 8.098.

c. 20.005, 20, 19.06, 2.05, 1.905.

Step-by-step explanation:

Answer:

$7.00

Step-by-step explanation:

Since each of them are 35 cents per ounce

20 x 0.35 = 7

Answer:

i) [tex]\frac{17}{12}[/tex], ii) Approximately 1.42, iii) The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.

Step-by-step explanation:

(i) A ratio written as a reduced fraction:

Given ratio is now simplified to its reduce form:

1) [tex]\frac{153}{108}[/tex] Given

2) [tex]\frac{51}{36}[/tex] Modulative property/Existence of multiplicative inverse/Definition of division/[tex]\frac{\frac{x}{y}}{\frac{w}{z}} = \frac{x\cdot z}{y\cdot w}[/tex]

3) [tex]\frac{17}{12}[/tex] Modulative property/Existence of multiplicative inverse/Definition of division/[tex]\frac{\frac{x}{y}}{\frac{w}{z}} = \frac{x\cdot z}{y\cdot w}[/tex]/Result

(ii) A ratio written as a decimal rounded to hundredths:

[tex]\frac{17}{12} \approx 1.42[/tex]

(iii) What is the answer to this?

The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.

Answer:

9 units

Step-by-step explanation:

First of all, let us understand the meaning of dilation.

Dilation means to change the size of any image or line or a figure.

Dilation can be used to enlarge (dilation by a factor greater than 1) the original figure.

OR

Dilation can be used to make the image smaller (dilation by a factor lesser than 1) the original figure.

Here, we are given that an image with 4 points ABCD is dilated by a scale factor of [tex]\frac{1}{3}[/tex].

Its sides will be AB, BC, CD and DA.

Perimeter is equal to the sum of all the sides of a closed figure.

So, perimeter of ABCD = AB + BC + CD + DA = 27 units ...... (1)

Now, it is dilated by a scale factor of [tex]\frac{1}{3}[/tex].

So, all the sides will become smaller i.e.

A'B' = [tex]\frac{1}{3}[/tex] AB

B'C' = [tex]\frac{1}{3}[/tex] BC

C'D' = [tex]\frac{1}{3}[/tex] CD

D'A' = [tex]\frac{1}{3}[/tex] DA

Perimeter of A'B'C'D' = A'B' + B'C' + C'D' + D'A' = [tex]\frac{1}{3}[/tex]AB + [tex]\frac{1}{3}[/tex]BC + [tex]\frac{1}{3}[/tex]CD + [tex]\frac{1}{3}[/tex]DA

[tex]\frac{1}{3}[/tex] (AB + BC + CD + DA ) = [tex]\frac{1}{3} \times 27[/tex](By equation (1))

Perimeter of A'B'C'D' = 9 units

Answer:

40 students

Step-by-step explanation:

and all the frequencies

there should one student per tally mark because the tally is measuring grades

Hope that helped!!! k

Answer:

[tex]\Huge \boxed{40}[/tex]

Step-by-step explanation:

Adding all the frequencies in the frequency distribution gives the total number of students.

[tex]6+10+8+9+7=40[/tex]

The number of students in class VIII whose marks obtained in an examination are 40.

goes by 2 then turns to a negative every 3 numbers

Step-by-step explanation:

Answer:

(a) An ineffective sample may be found about 42 times in 1000 samples.

(b) Yes, the drug is evidently effective at alpha = 0.05.

(c) A drug that had a p-value of 0.042 is more effective in comparison to a drug that had a p-value of 0.087.

Step-by-step explanation:

We are given that a statistical study reported that a drug was effective with a p-value of 0.042.

Let the Null Hypothesis, [tex]H_0[/tex] : The drug was ineffective.

Alternate Hypothesis, [tex]H_A[/tex] : The drug was effective.

(a) An ineffective sample may be found about 42 times in 1000 samples.

(b) As we know that, if the P-value is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.

SO, here also; the P-value is less than the level of significance as 0.042 < 0.05, so we reject our null hypothesis and conclude that the drug is evidently effective.

(c) The drug that had a p-value of 0.087 would be ineffective as in this case the P-value is more than the level of significance as 0.087 > 0.05, so we do not reject our null hypothesis and conclude that the drug is evidently ineffective.

This means that a drug that had a p-value of 0.042 is more effective in comparison to a drug that had a p-value of 0.087.

Answer:

90

Step-by-step explanation:

90.05

2 . Check the number to the right of it:

90.05

If the number is greater than or equal to 5, we round up. If it's less than or equal to four, we round down.

Zero is less than four. This means we round down.

90.05 ≈ 90

Hope this helps.

Answer:

5 x 10 - 8 = ?

Step-by-step explanation:

Brainliest please!

Answer:

5×17-8

Step-by-step explanation:

First you multiply 5 by 17 and then you subtract 8

Answer:

So the unit price of the trail - mix is $4.80 per pound

Step-by-step explanation:

Sam paid $3.60 for 3/4 pound of his favorite trail-mix.

What it means is that said paid for 3/4 = 0.75 of a pound for $3.60

So let's determine how much he could have paid for a complete pound

$3.60= 0.75 pound

X= 1 pound

$X*0.75 pound= $3.60*1 pound

$x= ($3.60*1 pound)/0.75 pound

$x=$3.60/0.75

$x= $4.80

So the unit price of the trail - mix is $4.80 per pound

Answer:

y = (x − 4) / 3

Step-by-step explanation:

y = 3x + 4

To find the inverse, switch x and y, then solve for y.

x = 3y + 4

x − 4 = 3y

y = (x − 4) / 3

Answer:

a

Step-by-step explanation:

The value of x in the triangle is given by trigonometric relations and the value is x = 8.86 units

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ABC

Now , the height of the triangle is BC = 5.5 units

Let the angle be θ = 50°

Now ,

From the trigonometric relations ,

cos θ = adjacent / hypotenuse

Substituting the values in the equation , we get

cos θ = 5.5 / x

Multiply by x on both sides of the equation , we get

x ( cos θ ) = 5.5

Divide by cos θ on both sides of the equation , we get

x = 5.5 / cos θ

when θ = 50°

x = 5.5 / cos 50°

x = 5.5 / 0.642787

x = 8.556 units

Therefore , the value of x = 8.56 units

Hence , the value of x of triangle is x = 8.56 units

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