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3 years ago

What is the rate of change between the (-3,0) and (-2,-5)?

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

6 0

Answer:

Rate of change (slope) = -5

Step-by-step explanation:

Rate of change = (-5 -0) / (-2 - - 3) = -5/1 = -5

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0.34 round to the nearest hundredth

lisov135 [29]

Answer:

its already rounded to the nearest hundredth

Step-by-step explanation:

3 0

3 years ago

Use set builder notation to represent the following set. {... -3, -2, -1, 0} {x | x Z, x ≤ 0} {x | x N, x ≤ 0} {x | x R, x ≤ 0}

IceJOKER [234]

Answer:

$\boxed{\boxed{\left\{x\ |\ x\ \epsilon\ Z,\ x \le 0}\right\}}}$

Step-by-step explanation:

Set builder notation-

It is a notation for representing a set by enumerating its elements and stating the properties that its members must satisfy.

The given set is,

$\left \{.... -3, -2, -1, 0 \right \}$

This set is comprised of all negative integers. So symbol Z should be used in this case.

The set builder notation for this set is,

$\left\{x\ |\ x\ \epsilon\ Z,\ x \le 0}\right\}$

7 0

4 years ago

The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=29, mean of x= 49.98

Lena [83]

Answer:

we say for μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757 , 50.033243 )

Step-by-step explanation:

Given data

n=29

mean of x = 49.98 mm

S = 0.14 mm

μ = 50.00 mm

Cl = 95%

to find out

Can we be 95% confident that machine calibrated properly

solution

we know from t table

t at 95% and n -1 = 29-1 = 28 is 2.048

so now

Now for 95% CI for mean is

(x - 2.048 × S/√n , x + 2.048 × S/√n )

(49.98 - 2.048 × 0.14/√29 , 49.98 + 2.048 × 0.14/√29 )

( 49.926757 , 50.033243 )

hence we say for μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757 , 50.033243 )

8 0

3 years ago

Which of the following gives a product of x^3 - 3x ?

Vilka [71]

Answer:

Option a

Step-by-step explanation:

Lets verify

RHS

$\\ \rm\longmapsto x(x^2-3)$

Use distributive law
a(b-c)=ab-bc

$\\ \rm\longmapsto x(x^2)-3x$

$\\ \rm\longmapsto x^3-3x$

$\\ \rm\longmapsto LHS$

Hence verifed

7 0

3 years ago

Read 2 more answers

Emma's final grade in her math class is the average (mean) of her 5 chapter tests she took throughout the year. If she received

NikAS [45]

Answer:

Step-by-step explanation:

The mean (or average) of a set of numbers can be found with the following formula:

$Mean = \frac{A_{1} + A_{2} + ... + A_{N}}{N}$

For this problem, we have five numbers, so we add them together and divide by 5:

$Mean = \frac{92 + 85 + 78 + 97 + 88}{5}$

$Mean = \frac{440}{5}$

$Mean = 88$

8 0

3 years ago

Read 2 more answers