what does the dot (.) stand for in math

Answer:

[tex] x \ge 15 [/tex]

Step-by-step explanation:

An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.

Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.

Thus, using inequality, this can be represented as:

[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]

Solve for x

[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]

Add like terms

[tex] 8x + 17 \ge 137 [/tex]

Subtract 17 from both sides

[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]

[tex] 8x \ge 120 [/tex]

Divide both sides by 8

[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]

[tex] x \ge 15 [/tex]

If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.

The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:

Expected frequency = (65/100) * 150 = 97.5

The observed frequency of successful free throws in the 6th season is 105.

To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:

z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))

total sample size = 150

expected frequency = 97.5

observed frequency = 105

z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28

The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.

Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.

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Answer:

49

Step-by-step explanation:

49 + 14 = 63

so that means:

x = 49

Answer: -11/5

Step-by-step explanation:

[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]

-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]

-11×[tex]\frac{3}{15}[/tex]

-11 × [tex]\frac{1}{5}[/tex]

Answer:

∆DPL ~ ∆QAZ

Step-by-step explanation:

In the diagram given, the following can be deduced:

<D is congruent to <Q

<P is congruent to <A

<L is congruent to <Z

From these, looking at the letter arrangement, the similarity statement can be written as:

∆DPL ~ ∆QAZ

Answer:

4# 4x2 + 6x - 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x^2+2x-5+3x^2+4x-1=4x^2+6x-6=4x^2+6x-6

Hope you'll find it helpfull

Answer:

y=x+3

Step-by-step explanation:

same as the last one =)

Answer:

Step-by-step explanation:

first 95 x 60 (60 because there is 60 minutes in an hour) then multiply that number by 10 then start ploting the numbers up for example it goes 57,000 then multiply that by 2 and keep ploting.

Answer:

this is confused me so much is it supposed to be a trick or is that a actual question-

Answer:

We conclude that the parallel lines are equal and the slope of the gas line is:

Step-by-step explanation:

We know that the lines are parallel if the slope of both lines is equal.

In other words,

Now,

Given that the slope of the solid line = m₁ = 4

Thus,

The slope of gas line = m₂ = 4

as  

m₁ = m₂

Therefore, we conclude that the parallel lines are equal and the slope of the gas line is:

Answer:

529

Step-by-step explanation:

892-363=529

529+363=892

Final Answer: [tex]529[/tex]

Steps/Reasons/Explanation:

We will write down the equation [tex]892 = x + 363[/tex] because we would need to get [tex]x[/tex] by itself. Doing this will make us able to find the other number.

Question: The sum of 2 numbers is 892. One of the numbers is 363. What is the other number?

Step 1: Subtract [tex]363[/tex] from both sides.

[tex]892 - 363 = x[/tex]

Step 2: Simplify [tex]892 - 363[/tex] to [tex]529[/tex].

[tex]529 = x[/tex]

Step 3: Switch sides.

[tex]x = 529[/tex]

~I hope I helped you :)~

Answer:

how much was popcorn u have sA

Answer:

well for me I think

Step-by-step explanation:

+10

T=-4.3+10

T=5.7°C

Answer:

0.66772

Step-by-step explanation:

Given that :

Mean (m) = 62

Standard deviation (s) = 4

probability that a data value is between 57 and 65

P(57 < x < 65)

Using the relation :

(x - m) / s

P(x < 57) :

(57 - 62) / 4 = - 1.25

P(Z < - 1.25) = 0.10565 ( Z probability calculator)

P(x < 65) :

(65 - 62) / 4 = 0.75

P(Z < 0.75) = 0.77337 (Z probability calculator)

P(Z < 0.75) - P(Z < - 1.25)

0.77337 - 0.10565 = 0.66772

Answer:

66.8%

Step-by-step explanation:

Just took the test

Answer:

a. always positive

Step-by-step explanation:

Alex learning?

Answer:

The lines will not intersect, because this system has no solutions

Step-by-step explanation:

Answer:

They will not intersect!

Step-by-step explanation:

A-P-E-X

Answer:

3x - 2

Step-by-step explanation:

3 times Kim's age (x), so 3x; minus 2 years (Sam's age).

Answer:

The answer is 3x - 2  :)

Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2

Answer:

Tulips• 7, 14, 21, 28 and 35.

Carnations• 3, 6, 9, 12 and 15.

Other:

Find above the whole number ratio for the tulips and carnations graph. Brainliest? Thanks!

Answer:

64 =theta

Step-by-step explanation:

We have a right triangle.

We know the adjacent side and the hypotenuse

adjacent/ hypotenuse = cos theta

7/16 = cos theta

Take the inverse cos of each side

cos ^-1 ( 7/16) = cos ^ -1 cos theta

64.05552023 = theta

64 =theta

Answer:

≅ 64°

Step-by-step explanation:

using rule of cos invers

[tex]Cos^{-1} (\frac{7}{16} )=64.05\\[/tex]

Answer:

h=(x/5)-8

Step-by-step explanation:

i hope that helps

Formula for h is, h = 1/5 (x - 8).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The formula is,

⇒ x = 5h + 8

Now, We can solve the formula for h as;

⇒ x = 5h + 8

Subtract 8, we get;

⇒ x - 8 = 5h + 8 - 8

⇒ x - 8 = 5h

Divide by 5;

⇒ 1/5 (x - 8) = h

⇒ h = 1/5 (x - 8)

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Answer:

Elena scored 22 points.

Step-by-step explanation:

Mai scored 5 points, and Noah scored three times as many. This means Noah scored 15 points and if Tyler scored four points fewer, he scored 11 points. If Elena scored twice as many as Tyler, she scored 22.

Answer:

25

Step-by-step explanation:

cuz

Answer:

1.  y=3x-4

2. y=-3x+4

3. y= -1/3x+4

4. y= 1/3x-4

Step-by-step explanation:

1. slope= change in y/ change in x

  slope= -1-(-4)/1-0=3

  y=3x+b

 -4=3(0)+b

   b=-4

y=3x-4

2. slope=4-10/0-(-2)= -3

y=-3x+b

b=4

y=-3x+4

3. slope= -1/3

y=-1/3x+b

3= -1/3(3)+b

3= -1+b

b=4

y= -1/3x+4

4. y= 1/3x-4 (last one)

Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 =  σ²/n1 +σ²/n2

so

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2  and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217