A law firm ordered 90 boxes of paper clips. There were 80 paper clips in each box. How many
paper clips did the law firm order in all?

Answer:

Option C

Step-by-step explanation:

From the picture attached,

In ΔABC,

m∠BAC + y° = 180° [Linear pair of angles are supplementary]

m∠BAC = 180° - y°

m∠ABC = x° [Vertically opposite angles]

m∠ACB = z° [Vertically opposite angles]

By triangle sum theorem,

m∠BAC + m∠ABC + m∠ACB = 180°

(180 - y)° + x° + z° = 180°

x - y + z = 180 - 180

x - y + z = 0

Option C will be the answer.

Step-by-step explanation:

The fraction of -1.75 is -1 3/4

So, 3/4 + (-1 3/4) = 1.

Answer:

17

Step-by-step explanation:

15^2 + 8^2 = 225 + 64 = 289

=17

Answer:

v=(6*9*12)

Step-by-step explanation:

Answer:

[tex]volume = \frac{1}{3} (length \times breadth \times height )\\ = (12 \times 9 \times 6) \frac{1}{3} [/tex]

Answer:

17.1

Step-by-step explanation:

h=A/b

h= 316.35/18.5

h=17.1

Answer: 1.55630250

Step-by-step explanation:

g(x) = 2 log (2x)

For g(3) put 3 in place of x

g(3)=2 log (2*3)

      =2log(6)

g(3)      =1.55630250

Answer:

The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.

or

sqrt [ (1.6^2)/195 + (2.1^2)/143 ]

Answer:

[tex]y\leq 3x-2[/tex]

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

It is keep change flip

Answer:

30

Step-by-step explanation:

-15

this is the answer :)

Answer:

I would say 55

Step-by-step explanation: 8x3=24-4=20+5x7=55

Answer:32.9 m

Step-by-step explanation:

Answer:

36 cm^2 is the area

Explanation -->

- first, separate the polygon into two separate ones, horizontally, to make two rectangles

- NOTE : Area = length x width

- 6 times 4 = 24

- 4 times 3 = 12  (self-explanatory, you get 4 by subtracting 6 and 2, as you can see)

- 24 + 12 = 36

-- You get 36 cm^2 --

Hope this helps!! Please mark as Brainliest!

Answer:

250/20 = 12.5/min

2 min = 25 bottles

The machine fills 25 bottles every two minutes. So you should make points (minutes, bottles) at (0,0), (2,25), (4,50), (6,75), (8,100), (10,125) and draw a line connecting them.

Answer:

4.67 feet

Step-by-step explanation:

The computation of missing dimension of the triangle is given below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

14 = 1 ÷ 2 × base × 6

14 = 3 × base

So, the base is

= 14 ÷ 3

= 4.67 feet

Here we assume the area to be 14 square feet

Answer:

4⅔ or 4.67 feet

Step-by-step explanation:

Area of a triangle is ½bh

½×b×6=14

3b=14

14÷3=4⅔

Answer: Centimeters

Step By Step: 1 centimeter is equivalent to one hundredth of a meter. 1 millimeter is equivalent to one thousandth of a meter.

Answer: b

Step-by-step explanation:

Answer:

The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].

Step-by-step explanation:

Let the cubic regression be represented by the following third order polynomial:

[tex]y = a\cdot x^{3}+b\cdot x^{2}+c\cdot x + d[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a,b,c,d[/tex] - Coefficients.

By Algebra, we can determine analytically the values of all coefficients by knowing four distinct points. If we know that [tex](x_{1}, y_{1}) = (1,4)[/tex], [tex](x_{2},y_{2}) = (2,9)[/tex], [tex](x_{3}, y_{3}) = (3, 34)[/tex] and [tex](x_{4}, y_{4}) = (-2, -11)[/tex], then the system of linear equations is:

[tex]a+b+c+d = 4[/tex] (1)

[tex]8\cdot a + 4\cdot b + 2\cdot c + d = 9[/tex] (2)

[tex]27\cdot a + 9\cdot b + 3\cdot c + d = 34[/tex] (3)

[tex]-8\cdot a + 4\cdot b -2\cdot c + d = -11[/tex] (4)

The solution of the system of linear equations is: [tex]a = 2[/tex], [tex]b = -2[/tex], [tex]c = -3[/tex], [tex]d = 7[/tex]

The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].

Options:

1. Null Hypothesis: There is at least some difference in the mean times spent by the schools' students.

2. Alternative Hypothesis: The students from school B spend more time studying than the students from school A.

3. Null Hypothesis: School B students spend more time studying than School A.

4. Alternative Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Null Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.

Alternative Hypothesis: There is no difference in the mean times spent by the schools' students

Answer:

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Step-by-step explanation:

The null hypothesis is usually represented as H0 or H1. For difference in mean between two samples, the null hypothesis is usually holds the notion that there is no difference in the mean of both samples and it is represented symbolically as:

H0 : μ1 - μ2 = 0 or H0 : μ1 = μ2

For the alternative hypothesis, it is usually the opposite of the null and while the Null holds that no difference exists, The alternative in this scenario will claim that both sample means are different or not equal. It is represented as :

H1 : μ1 ≠ μ2 or H1 : μ1 - μ2 ≠ 0

Answer: Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Step-by-step explanation:

Answer:

Solutions will be unreal

Step-by-step explanation:

Given the quadratic equation ax^2+bx+c

The discriminant of the function determines its nature of its root

Discriminant D = b^2-4ac

If D <0, it shows that the roots of the equation will be a complex value. since D is less than 0 and the square root of a negative number does not exist. Hence, the solutions will be unreal

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

0.015  in fraction

=[tex]\frac{15}{1000}[/tex]

Simplified is

=[tex]\frac{3}{200}[/tex]

Answer:[tex]\frac{3}{200}[/tex]

Answer:

7 is the smallest number making it the closest to the x- axis.

Step-by-step explanation:

Answer:

1. Multiply the area by 2 and divide the result by the central angle in radians.

2. Find the square root of this division.

3. Multiply this root by the central angle again to get the arc length.

Step-by-step explanation: