Sarah randomly surveyed 80 students at her school. She found that 15 out of the 80 students she surveyed chose pizza as their favorite school lunch option. If there are 700 students at her school, predict how many students at her school would choose pizza as their favorite lunch option. If the answer you get is a decimal, how do you interpret that?

Answer/Step-by-step explanation:

1. Side of the square (s) = 35 mm

Area of square = s²

Area = 35² = 1,225 mm²

2. Length of rectangle (L) = 24 cm

Width = 18 cm

Area = L*W = 24*18 = 432 cm²

3. Diameter = 36 m

Radius = ½(36) = 18

Circumference of circle = πd = π*36 = 113.097336 ≈ 113.1 m

Area = πr² = π*18² = 1,017.87602 = 1,017.9 m²

4. Area of trapezoid = ½(a + b)*h

a = 9 cm

b = 15 cm

h = 18 cm

Area = ½(9 + 15)18

Area = 216 cm²

Answer:

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of −5, 4i, and −4i

This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So

[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]

[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]

[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]

[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]

Since [tex]i^2 = -1[/tex]

[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]

[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]

Has a value of 40 when x=3

We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So

[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]

[tex]200a = 40[/tex]

[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]

So

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

The option that is false regarding the low credit score is that she is more likely to get a loan with a low-interest rate.

A credit score is a numerical expression that is based on a level analysis of a person's credit files, to represent the creditworthiness of an individual.

In this case, she is not likely to get a loan with a low-interest rate because of her poor credit score.

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Answer:

1.) t - distribution

2.) H0 : μ = 60000 ; H1 : μ > 60000

3.) P < α (Reject Null) ; P > α (fail to reject Null)

4.) Reject H0

Type 1 error

Step-by-step explanation:

Null hypothesis, H0 : μ = 60000

Alternative hypothesis, H1 : μ > 60000

Decison rule at 5% significance ;

P < α (Reject Null)

P > α (fail to reject Null)

Xbar = 72000 ; std = 9000

Test statistic :

(Xbar - μ) ÷ (std / sqrt(n))

(72000 - 60000) ÷ (9000 / sqrt(25))

12000 ÷ 1800

Test statistic = 6.667

Using the Pvalue calculator from test statistic :

Test statistic = 6.667 ; df = 24 - 1 = 24

Pvalue = 0.00001

Pvalue < α ; Hence, we reject the Null

Type 2 error : This means accepting a Null hypothesis that should be rejected.

Answer:

26

Step-by-step explanation:

125+29=154

180-154=26

Answer:

a

Step-by-step explanation:

times 4

Answer:

C. 35 to 49 Minutes

Step-by-step explanation:

Answer:

Fixed cost $14 -350 messages

variable $ 0.25 each message i think

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

1. - 6.75

2. 15/28

3. - 3.3

Step-by-step explanation:

The first is correct because a positive times a negative is a negative.

The second is incorrect. It should be 15/28 because a negative times a negative is a positive.

The third is incorrect because a positive times a negative is a negative.

The answer should be

1. - 6.75

2. 15/28

3. - 3.3

Answer:

1/5 to 1/5

Step-by-step explanation:

Answer:

-137-l+25a

Step-by-step explanation:

The given expression is :

- 63 - |-74 +25 a

We need to find the value of the expression.

Gere, l and a are variables.

-63-74 = -137

So,

= -137-l+25a

Hence, the value of the expression is equal to -137-l+25a

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Answer: -5

Explanation:

First -25/j = 5

-25 = 5j

-25/5 = 5j / 5

-5 = j

I hope this helped!

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Answer:

Since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.

Step-by-step explanation:

Knowing that a 190-gram box of crackers costs $ 1.49 and an 850-gram box costs $ 6.99, to determine which of them is a better deal, the following calculation must be performed:

1.49 / 190 = 0.0078

6.99 / 850 = 0.0082

Therefore, since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.

Answer:

Can I see it actually?

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Mean = average so 18+4+12+8/4 = 10.5

Answer:

10.5

its on khan academy i double checked

Answer:

The area increases by 5.46261%

Step-by-step explanation:

Well firstly, the area of an ellipse is not ab, but it's proportional to ab ([tex]\pi ab[/tex] where a and b are the semi-minor and semi-major axes).

This tells us that when a increases by 2.74% and b increases by 2.65% the new area will be:

[tex]A = \pi \cdot (a \cdot 102.74\%)(b \cdot 102.65\%) = \pi a b \cdot 102.74\% \cdot 102.65\% = \pi ab \cdot 105.46261\%[/tex]

The percentage change in area of the ellipse is 5.5%

The area of an ellipse with an axes of length  of 2a and 2b is πab.

Area of ellipse = πab

Since a increases by  2.74%, hence a = (100% + 2.74%)a = 1.0274a

Also, b increases by  2.65%, hence b = (100% + 2.65%)b = 1.0265b

Therefore the new area = π * 1.0274a * 1.0265b = 1.055πab

The ratio in the area = 1.055πab/ πab = 1.055

The percentage change in area of the ellipse is 5.5%

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Answer:

slope= -2

Step-by-step explanation:

Answer:

[tex] m\widehat {MP} =46\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]

[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]

[tex] 23\degree \times 2= m\widehat {MP} [/tex]

[tex] m\widehat {MP} =46\degree [/tex]

Answer:

4a) [tex]\frac{2}{3}[/tex] · (5 + 7)

b) 3 ÷ (3/5)

c) ([tex]\frac{2}{3}[/tex] - [tex]\frac{1}{2}[/tex]) ÷ 3

Step-by-step explanation:

Answer: 149656

Step-by-step explanation:

The  balance of the loan is $148,968

Using this formula

Loan balance=Mortgage amount-Monthly payment

Where:

Mortgage amount=$150.000

Monthly payment=$1,031.83

Let plug in the formula

Loan balance=$150.000-$1,031.83

Loan balance=$148,968

Inconclusion The  balance of the loan is $148,968

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Answer:

Step-by-step explanation:

When you shift up or down, the function gets added to or subtracted from the expression on the right of the y value.  Put in simpler language, for this question, the equation becomes.

g(x) = f(x) + 13

And the solution is

g(x) = ln(x) - 1 + 13

g(x) = ln(x) + 12

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Lines.

We know that perpendicular lines have a inverse negative slope, such that

m1*m2 = -1

hence, m1 = -1/m2

so the perpendicular line is,

==> y-(5) = 3/2(x-(-6))

==> y+5 = 3/2(x+6)

==> y+5 = 3/2*(x) +9

=> y = 3/2(x) +9-5

==> y = 3/2*(x) + 4

hence the correct option is D.)

The median of the set of data with values 10,12,15,16,18,20 is 15.5.

The median is one of the measures of central tendency.

The median is the middle value of a data set.

When the data set is even, the median is found by adding the two middle values and dividing by 2.

10,12,15,16,18,20

Total value = 91

Median = 15.5 (15 + 16)/2

Thus, the median of the set of data with values 10,12,15,16,18,20 is 15.5.

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Answer:

Triangle C and D

Is your correct answer

Triangle A have 3 sides equal so it is equilateral triangle

Triangle B have 2 sides equal so it is isosceles triangle

Triangle C have no equal sides so it is scalene triangle

Triangle D have no equal sides so it is scalene triangle

Triangles C and D are scalene triangles.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle A has three sides each measuring 7 units.

Triangle B has two sides that are equal in length, and the base is longer than the two sides.

Triangle C has no sides of equal length.

Triangle D has sides of length seven, three, and six.

Now, We know that;

A scalene triangle have different sides.

Hence, Triangles C and D are scalene triangles.

Thus, We get;

Triangles C and D are scalene triangles.

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Answer:

6 ft^2

Step-by-step explanation:

A=1/2 Base Height

A=1/2(3)(4)

A=6 ft^2

Answer:

x = - 20 / 3, y = 14 / 3

Step-by-step explanation:

In the picture

Answer:

2x2/er5

Step-by-step explanation:

Answer:

x = 21.6

Step-by-step explanation:

Solution by Cross Multiplication

For the equation

35=x36

The cross product is

3×36=5×x

Solving for x

x=3×365

and reducing

x=21.6

Solution by Proportion

Since the equation is an equality

If

36 ÷ 5 = 7.2

Then it is true that

x ÷ 3 = 7.2

Solving for x

x = 3 × 7.2

x = 21.6

Answer:

The 3D figure formed is a Cuboid.

Answer:

The figure with 2 congruent, parallel, rectangular bases is a cuboid.