Juana weighed a sample of 12 jumbo eggs. Here are their weights (in grams): \begin{aligned} &67, 67, 68, 69, 69, 70, \\ &71, 71, 71, 72, 72, 73 \end{aligned} ​ 67,67,68,69,69,70, 71,71,71,72,72,73 ​ The mean is \bar x =70 x ˉ =70x, with, \bar, on top, equals, 70 grams. Which of these formulas gives the standard deviation?

Answer:

C)  (-1, -4) and (4, 6)

Step-by-step explanation:

[tex]\textsf{Equation 1}:y=2x-2[/tex]

[tex]\textsf{Equation 2}:y=x^2-x-6[/tex]

Substitute Equation 1 into Equation 2 and solve for x:

[tex]\implies 2x-2=x^2-x-6[/tex]

[tex]\implies x^2-3x-4=0[/tex]

Find two numbers that multiply to -4 and sum to -3:  -4 and 1

Rewrite the middle term as the sum of these two numbers:

[tex]\implies x^2-4x+x-4=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x-4)+1(x-4)=0[/tex]

Factor out the common term [tex](x-4)[/tex]:

[tex]\implies (x+1)(x-4)=0[/tex]

[tex]\implies (x+1)=0 \implies x=-1[/tex]

[tex]\implies (x-4)=0 \implies x=4[/tex]

Substitute the found values of x into Equation 1 and solve for y:

[tex]x=-1 \implies y=2(-1)-2=-4[/tex]

[tex]x=4 \implies y=2(4)-2=6[/tex]

Therefore, the solution to the system of equations is:

(-1, -4) and (4, 6)

Answer:

The point of intersection is (3,1)

Step-by-step explanation:

Manipulate these equations to achieve the form of y = mx + c

1) y + 5 = 2x

Y = 2x - 5

2) y = 7 - 2x

Y = -2x + 7

Point of intersection is (3,1) on the graph attached

To check algebraically:

2x - 5 = -2x + 7

4x = 12

X = 3

Substitute to get y

Y = 2x - 5

Y = 2 x 3 - 5

Y = 1

Therefore (3,1)

Answer:

Step-by-step explanation:

Formula

SA = 2*pi r^2 + 2*pi * r * h

Givens

pi = 3.14

r = d/2                   radius = diameter /2

r = 7/2 = 3.5

h = 10 cm

Solution

SA = 2*3.14 *3.5^2 + 2*3.14 * 3.5 * 10

SA = 76.93 + 219.8

SA = 296.73 cm^2

Answer

Surface Area = 296.73 cm^2

Answer:

57.6% have allergies

42.4% have no allergies

Step-by-step explanation:

We only need to consider the students who speak two languages according to the question.

To find the percent with allergies, divide the number of students with allergies by the total number of students (that speak two languages).

19/33 = 0.5757 = 57.6%

To find the percent without allergies, divide the number of students without allergies by the total number of students (that speak two languages).

14/33 = 0.4242 = 42.4%

Check your work by adding the percentages to make sure they equal 100%

57.6 + 42.4 = 100

Answer:

Degree: cubic

Number of terms: binomial

Step-by-step explanation:

Look at the exponents to find the degree. Biggest exponent is 3, third power, that's a cubic, like a cube.. 3D.

There's a plus separating the two terms...Two terms-that's the "bi-" in binomial, like a bicycle or bifocals or binational. The prefix "bi-" means two.

Answer:

£28,800

Step-by-step explanation:

Given:

To find:

Solution:

Ria's salary before tax is £3,000 per month.

(i.e) £12 * 3,000/year =  £36,000.

Now she has to pay 20% tax.

(i.e) 80/100 * 36,000 =  £28,800

Hence, Ria receives £28,800 each year after tax.

Answer:

1.16

Step-by-step explanation:

Answer: you’d get $1.16

Step-by-step explanation: Simple. Do $5 and subtract 3.84 and you’d get $1.16 hope this helps. :)

Answer:

2,000 square feet

Explanation:

If the kitchen is 300 square feet, we can divide that by the percentage(15%). We get the answer 20, which will be our conversion factor!

Now, we multiply this conversion factor by all the other percentages(without decimals)

5 x 20 = 100

20 x 20 = 400

30 x 20 = 600

15 x 20 = 300

30 x 20 = 600

Now we add up all of these factors and get the answer :D

100 + 400 + 600 + 300 + 600 = 2,000 square feet

Answer: 16

Step-by-step explanation:

Answer:

C i think

Step-by-step explanation:

Answer:

59.062yd

Step-by-step explanation:

C=πd

π*18.8yd

=18.8π≈59.0619189=59.062yd

Answer:

Below.

Step-by-step explanation:

2x+4 = (x²)²÷2

2x + 4 = x^4/2

x^4 = 4x + 8

x^4 - 4x - 8 = 0

We can try trial an error to solve this

Looks like x = 2 fits it:

2^4 - 4(2) - 8

= 16 -8 -8 = 0

so x = 2 is one solution.

I can't find any other solution among other integers.

To find the other solutions you can draw a graph manually or by using software.

There will be either 1 or 3 more real solutions.

I used software to draw the graph and found one other solution:

x = -1.296

Answer:

[tex]c-10c+3c=4c-10c=-6c[/tex]

Step-by-step explanation:

The expression which is equal to the given expression c - 10c + 3c will be -6c.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression,

c - 10c + 3c = c + 3c - 10c

                   = 4c - 10c

                   = -6c

Hence "The expression which is equal to the given expression c - 10c + 3c will be -6c".

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[tex]{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]

★ Points to be noted 1st:-

★ Given equation=

nd

[tex] \underline{\rule{60mm}{2.9pt}} [/tex]

★ Let's substitute x = 5 in given equation to the value of expression

[tex]\sf\:↬-2((5)-10)\\ \sf \:↬Distribution \: of \: -2 \:with \: "5" \: nd \: "-10" \: \\↬ - 10 + 20 \\↬10[/tex]

soo when x = 5 the value of expression is 10

[tex] \underline{ \underline {\rule{70mm}{2.9pt}}}[/tex]

Answer:

10

Step-by-step explanation:

Given

To solve

To find the value of the expression, substitute x = 5 in the equation.

Answer:

[tex]area \: of \: triangle \: = \frac{1}{2} b \times h[/tex]

The area of a triangle formula is A = 1/2 × b × h, where b is base and h is height.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here,

The area of a triangle formula is 1/2× b × h, where b=base and h=height.

Example: Find the area of a triangle with base 12 units and height 3 units.

Now, area of a triangle = 1/2× 12 × 3

= 6 × 3

= 18 square units

Therefore, area of a triangle formula is A = 1/2 × b × h.

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"Your question is incomplete, probably the complete question/missing part is:"

What is formula for area of a triangle?

Answer:

[tex]\Longrightarrow: \boxed{\sf{25x^2-30x+9}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the perfect square formula.

[tex]\underline{\text{PERFECT SQUARE FORMULA:}}[/tex]

[tex]\Longrightarrow: \sf{(A-B)^2=A^2-2AB+B^2}[/tex]

(5x-3)²

(5x-3)²= (5x)²-2*5x*3+3²

Solve.

[tex]\sf{(5x)^2-2*5x*3+3^2=\boxed{\sf{25x^2-30x+9}}}[/tex]

Answer:

Step-by-step explanation:

The identity

In this case, a = 5x and b = 3, so substituting the values :

Answer:

Answer to your question is 5

Step-by-step explanation:

hope it helps(^-^)

Answer:

Step-by-step explanation:

Hey there!

I think that some of the content in your question is missing so I will be solving for how much yards of fabric is needed in total

Since all of the fractions have common denominators, we can comfortably add them together

3/4+3/4+2/4 is 8/4

8/4 can be simplied to 2

So the total amount of yards of fabric Thom needs in total is 2 yards

Answer:

B. The interquartile range is 55

Step-by-step explanation:

the interquartile range is Q3 minus Q1, you would get 15 ,not 55. So B is the answer to your question

Answer:

B. The interquartile range is 55.

Step-by-step explanation:

In this problem, I refer to the right part of the box as the median of the upper half and the left part of the box as the median of the lower half.

The median of the data is going to be the middle line of the box and whisker plot. The middle line lies on 55, so the median is 55.

Choice A is true

The interquartile range is the right end of the box subtracted from the left end of the box. The right end of the box is 65. The left end of the box is 40. Subtracting the left end from the right end, we get 25.

Choice B is false

3/4 of the data will be where we see the right end of the box. The right end of the box is at 65. So, 3/4 of the data is less than 65.

Note: 1/4 of the data is less than the left side of the box at 40. 1/2 of the data is less than the median of the box which is at 55.

Choice C is true

The median of the upper half is the right end which is 65.

Note: The median of the lower half is 40.

Choice D is true

Answer:

f(x) = (x+6)^2 +3

Step-by-step explanation:

Answer:

The answer is in Step.

Step-by-step explanation:

Very simple.

B(4,8)

Answer:

Step-by-step explanation:

3m-4/2-4 (m+2 )-3/6=3

3m-4/2-4m-8-3/6=3

-m-3/2-8=3

-m-11=3

-m=3+11

-m=14

m=-14

Answer: 9X/3 km or divide it further

Step-by-step explanation:

Distance traveled = X

TIME = 3hours

Speed = X/3 km/hr

Distance in 9hours = X/3 × 9/1

Answer:

9,066 is your answer

The requried division of 15 by 2590 gives the decimal value of approximately 172.6667.

To calculate the division of 15 by 2590, we perform the following steps:

When we divide 15 by 2590, we can express it as 15 ÷ 2590.

Dividing 15 by 2590 yields a decimal value of approximately 172.6667. This means that 15 is approximately 172.67 times the value of 2590.

In simpler terms, if you divide 15 by 2590, the quotient or result is 172.6667 (rounded to four decimal places).

Therefore, the division of 15 by 2590 is approximately 172.6667.

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Answer: 48 units³

Step-by-step explanation:

   Volume can be solved with V = L * W * H

V = L * W * H

V = 8 units * 2 units * 3 units

V = 48 units³

Answer:5

Step-by-step explanation:

3(5)+2=17

5(5)-8=17

X=5

Answer:48.014

Step-by-step explanation:you got to say 48,000 plus 0.014 and you hit the equal button and see what u get and i hit the equal button and i got this answer 48.014 is my answer for this question