The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three numbers.

Answer:

Yes the new method if sample size was less than 20 than that of old method or identical sample numbers of old and new the differences still prove the new operation is better. As 88 patients minus 1% still shows us 76.7475 significance of  old method being low point 67.5 = 30% of 225 and proved a 65.25 low point and 69.75 high point which is also a 20% jump to new methods low point significance.

You cna show this as workings to prove or follow any of the below statements.

Where new method of 88 patients -0.01 significance rate stands at 76.7475. This figure has reduced by 11.2525 from 88 patients to 76.7 we compare this to the old method if reversing significance we find  = 62.5 and it's 30% standing value of 67.5  as +1% increase shows us 31% = 69.7  ( 0.31 x 225 = 69.74)

Step-by-step explanation:

88/225  = 0.39111111111 = 39.11%%

P value 01 = 1%  =  225.225 or 5% range of alternative hypotheses.

To graph the P value we take the distance between the sample mean and the null hypothesis value (225 + 1% of sample - x nhv) = y ). We can graph the probability of obtaining a sample mean  (225 +/- ( x +1% of sample) where nhv has a decimal if needed to utilize the 1% added). we would replace nvp in this example with  Ha or H1 which means the alternative hypotheses as the data shows less than or equal to.

We can then show 225.225 -  Ha or H1  then graph the probability of obtaining a sample mean that is at least extreme in both tails  Ha or H1

However it would be the other way round where you take the first set of data and use the sample as the 30% significance of that sample indicates it may be a larger sample or a higher significance. Therefore this would be used in the graphing - 1%

We prove that 30-1 =29  where 29% of 225 = 225 x 0.29 = 65.25

this way we have proved that the new set of data being equal to 88 patients regaining their eyesight is <23 and can be written like this 65.25< x <88

This means that sample mean has taken the 1% to show on the graph we can show 225> 33.11 +1 .

We can prove that both indifference of significance would reduce when 1% is added and close based on being a higher percentage to begin with.

34.11 = 0.3411 x 225 = 76.7475 for second surgeon = 33.11% +1

Where as shown

30 = 0.3 x 225 = 67.5

76.5475 - 67.5 = 9.04 difference when comparing old method = +1%

where new method stands at 76.7475 has reduced by 11.2525 from 88 patients and where old method if reversing = 62.5 and has reduced from 67.5  as +1% and 31% = 69.7  ( 0.31 x 225 = 69.74)

You would therefore graph each higher methods first if comparing both by 0.01 or show 88 on graph and 76.7475 = +1%

NB/ if sample size was 20 more in the old data then 225+20 = 245 x 0.29 = 71.05 and would still be lower than new data. = 2.0 increase level of significance and not relevant unless you are looking for the decrease which means new is greater than 20% success than that of old method findings where 30% = 67.5.

Answer:

15/28

Step-by-step explanation:

3 3/7 ÷ 6 2/5

Change to improper fractions

(7*3+3)/7 ÷ (5*6+2)/5

24/7 ÷32/5

Copy dot flip

24/7 * 5/32

Cancel an 8 from the numerator and denominator

3/7 * 5/4

15/28

Answer: 15/28

Explanation: First write each mixed number as an improper fraction.

As a quick review, to write a mixed number as an improper fraction,

we multiply the denominator times the whole number,

then we add the numerator.

First rewrite 3 and 3/7 as 24/7 and 6 and 2/5 as 32/5.

So we have 24/7 ÷ 32/5.

Dividing by a fraction is the same as multiplying by its reciprocal.

In other words, we can change the division

sign to multiplication and flip the second fraction.

So 24/7 ÷ 32/5 can be rewritten as 24/7 × 5/32.

Before multiplying, noice that the 24 and 32 cross-cancel to 3 and 4.

So we have 3/7 × 5/4 which is 15/28.

Answer:

20,951

Step-by-step explanation:

If the company sold 21,00 ovens and this year they sold 49 fewer, then that means we are being told to subtract 49 from 21,00 which is the initial value.

21,000-49 = 20,951

therefore, this year they sold 20,951 (twenty-thousand nine hundred fifty one) ovens.

Answer:

20,951 ovens

Step-by-step explanation:

Last year, the company sold 21,000 ovens. This year, they sold 49 fewer ovens that that.

Fewer, means less, or subtractions. Therefore; we must subtract 49 (the difference between this year and last year) from 21,000 (the number of ovens sold this year)

21,000-49

20,951

The company sold 20,951 ovens this year.

Answer:

D

Step-by-step explanation:

Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.

Answer:

Answer D

Step-by-step explanation:

Take half of the coefficient of x:  Take half of +24, obtaining 12.  Now square this 12, obtaining 144.  This is the desired value.  Answer D is correct.

Answer:

125 meters squared

Step-by-step explanation:

Surface area of initial pyramid:

Surface area of extended pyramid:

The difference is:

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

Answer:

The answer is B.

Answer:

1.777777778

Step-by-step explanation:

hope that helps!

Answer:

16/9 or 1 2/9

Step-by-step explanation:

the fraction bar means divison

Answer:

x= 70

Step-by-step explanation:

This question needs an attachment; see attached

Given

ABD = 55

Required

Find x?

In the figure shown in the attachment, angle b and ABD are alternate interior angles;

From parallel and perpendicular line theorems; alternate interior angles are equal.

This implies that <b = 55

Also; when a rectangle is divided by two diagonals, the resulting triangles are isosceles triangles;

where 2 sides and 2 angles are equal;

This implies that <b = <c = 55

Sum of angles in a triangle  = 180;

So,

<x + <b + <c = 55

x + 55 + 55 = 180

x + 110 = 180

Subtract 110 from both sides

x + 110 - 110 = 180 - 110

x = 180 - 110

x = 70

Answer:

64.21

Step-by-step explanation:

After performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.

So, 6.421 x 10 = ?:

Evaluate as follows:

Therefore, after performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.

Know more about mathematical operations here:

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The correct question is given below:

Multiply. 6.421 x 10 = _____

A. 0.6421

B. 64.21

C. 642.10

D. 6,421

Answer:

y = -2 x +3

Step-by-step explanation:

If the slope must be "-2", then the slope intercept form of the line should look like;

y = m x + b

with the slope "m" = -2

That is:

y = -2 x + b

Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":

3 = -2 (0) + b

3 = b

Then the equation becomes:

y = -2 x +3

Answer:

32%

Step-by-step explanation:

Got it right on the quiz.

Pls give me brainliest

Answer:

32%

Step-by-step explanation:

Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

Answer:

its b

Step-by-step explanation:

i just did it

Answer:

solution,

[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]

hope this helps ....

Good luck on your assignment...

By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

We have given that x=4cm , y=4cm and z=13cm.

By applying trigonometry of tan which is perpendicular upon base i.e. P/B

A triangle would be constructed , base would be z=13cm

and x and y will define the other 2 lines of 4 cm each.

tan Ф = perpendicular/ base,

tan Ф = 13/4

Ф = tan [tex]^{-1}[/tex] (3.25cm)

Ф = 72.9°

Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Learn more about trigonometric;

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Answer:

Parallelogram

Step-by-step explanation:

When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.

PLZ MARK BRAINLIEST!!!

Answer:

Step-by

Q1

PROOF

consider triangle ACT and ARD

CA=CA [GIVEN]

angle 1 = angle 2 [GIVEN]

angle CAT = angle  RAD [OPPOSITE ANGLES]

hence  ,triangle ACT is congruent to triangle  ARD [by SAS]

hence , angle 3 = angle 4 [ by cpct]

Q2

PROOF

consider triangle TSU and TVU

TU =TU [commn]

UV = US [given]

angle TUS = angle TUV [ given]

hence, triangle TSU congruent to TVU [ by SAS]

hence, VT = ST

Q3

PROOF

consider triangle ABC and ADC

AC = AC [ common]

angle ACB = angle ACD [given ]

angle ADC = angle ABC [ 90 degree ]

hence they are congruent [by AAS]

BC = DC  [ CPCT]

PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER

Answer:

q = 7

Step-by-step explanation:

4q + 9 = 37

If a letter and a number are together it means multiply.

Substitute 7 into the equation:

4(7) + 9 = 37

28 + 9 = 37

So q must equal 7

[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]

To find the slope of the line, I will be showing you the table method.

To find the slope of the line using the table method,

we start by making a table for our ordered pairs.

We will put the x values in the left column

and the y values in the right column.

Our first ordered pair is (3, 8), so we put a

3 in the x column and a 8 in the y column.

Our second ordered pair is (1, -2), so we put a

1 in the x column and a -2 in the y column.

Next, remember that the slope or m, is always equal to

the rate of change or the change in y over the change in x.

Using our table, we can see that the y values

go from 8 to -2 so the change in y is -10.

The x values go from 3 to 1 so the change in x is 2.

Therefore, the rate of change, or the change in y

over the change in x is -10/2 which reduces to 5.

This means that the slope is also equal to 5.

Answer:

[tex]\dfrac{2}{11}[/tex]

Step-by-step explanation:

It is given that a card is drawn one at a time from a well-shuffled deck of 52 cards.

Total repetitions of this experiment = 11

Number of kings in the experiment = 2

Let E is the event in which a king is drawn in the 11 trials. So

[tex]P(E)=\dfrac{\text{Number of kings in the experiment}}{\text{Total repetitions of this experiment}}[/tex]

[tex]P(E)=\dfrac{2}{11}[/tex]

Therefore, the experimental probability P(E) is [tex]\dfrac{2}{11}[/tex].

Answer:A

Step-by-step explanation:

Answer: Letter A

Step-by-step explanation:

Answer:

The A) ΔABC ≅ ΔEDC

Step-by-step explanation:

The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.

As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.

Answer:

A) triangle ABC is congruent to triangle EDC

Step-by-step explanation:

The AAS method of proving congruence of triangles uses two angles and a non-included side of the triangle. If two angles and the non-included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Let's see what we have in this problem:

<ACB and <ECD are congruent since they are vertical angles.

<A and <E are congruent by given.

Sides AB and ED are non-included sides and are congruent.

Since we have two angles and a non-included side of a triangle and the corresponding parts of another triangle, the triangles are congruent by AAS.

Now we need the statement of congruence.

Angles ACB and ECD are corresponding angles, so the letter C must appear in both triangles in the same position.

Angles A and E are corresponding angles, so the letters A and E must appear in both triangles the same position.

We already have CA and CE. The last angles left are corresponding angles B and D, so we get triangle CAB and triangle CED. Since a triangle may be named using any order of the vertices, we can rename the triangles ABC and EDC and maintain the same corresponding vertices.

Answer: A) triangle ABC is congruent to triangle EDC

Answer:

Correct option: 1) 2600

Step-by-step explanation:

The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Correct option: 1)

Answer:

1.) 2,600

Step-by-step explanation:

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]

[tex]x = \frac{-36 \pm 33.11}{2} [/tex]

[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]

[tex]x_1 = -1.445 [/tex]

[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]

[tex]x_2 = -34.555[/tex]

Answer:

A+B+C+D = 13

Step-by-step explanation:

The given expression is:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}}[/tex]

We have to simply it and express it in the form of:

[tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

Multiply and divide the given expression with [tex]2-\sqrt 3[/tex]:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}} \times \dfrac{2-\sqrt 3}{2-\sqrt 3}\\\Rightarrow \dfrac{(1+\sqrt{2}) \times (2-\sqrt 3)}{(2+\sqrt{3})\times (2-\sqrt 3)}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{2^2-(\sqrt{3})^2}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{4-3}\\\Rightarrow \dfrac{2(1+\sqrt2)-(\sqrt3+\sqrt6)}{1}\\\Rightarrow 2(1+\sqrt2)-(\sqrt3+\sqrt6)[/tex]

It is the simplified form of given expression.

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

Comparing the simplified expression with [tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

[tex]2(1+\sqrt2)-(\sqrt3+\sqrt6)=A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})\\\Rightarrow A =2, B=2, C=3\ and\ D=6[/tex]

So, value of

[tex]A+B+C+D = 2+2+3+6 = 13[/tex]

Answer:

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

Answer:

Step-by-step explanation:

hello,

I understand that there are only 4 cards  and then the player draw a card out of the 4 cards, replace it so the second draw is still out of the 4 cards

How many ways can you draw two cards?

as the first card is replaced, this is 4*4=16

so there is 16 possibles ways

hearts hearts

hearts clubs

hearts diamonds

hearts spades

clubs hearts

clubs clubs

clubs diamonds

clubs spades

diamonds hearts

diamonds clubs

diamonds diamonds

diamonds spades

spades hearts

spades clubs

spades diamonds

spades spades

out of these 16 ways, how many have same colour for both cards?

I assume that there are only two colours Red and Black, so we can have

only 8 ways so the first probability is 8/16 = 1/2

out of these 16 ways, how many are red ace first and black ace?

There are 4 ways so the probability is 4/16 = 1/4

hope this helps

Standard deck has aces in four colors

Player draws one from four so the probability of drawing any first card is 1/4 (in the first drawing)

We replace the card so in second drowing its the same

So the probability of drawing two card of one chosen color is 1/4*1/4, and we have four colors

The probability of drawing two card of the same color is:

There are 2 red aces and 2 black aces

(sorry for coments - not reading carefully)

So a probability of drawing red ace in first drawing is 2/4=1/2

a probability of drawing black ace in second drowing is the same ('cause we replace the one drawn first)

So the probability that a red ace is drawn first and then the black ace is: