All categories

2 years ago

If A={4,5,6,7} and b={a,e,i,o,u} then find n (A)+n(B)

Mathematics

1 answer:

kompoz [17]2 years ago

6 0

Answer:

Step-by-step explanation:

n(A)+n(B) [n(A)=cardinal numbers of set A.so we have to count the elements and write .

=4+5

You might be interested in

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0 degrees Celcius at

enot [183]

Answer:

Step-by-step explanation:

Given that reading on thermometer is N (0,1)

7% of the thermometers are rejected because they have readings that are too low, but all other thermometers are acceptable

This implies that we have to find out the 7th percentile.

i.e. Z score = -1.475

Hence the temperature for cutoff is below -1.475 degrees.

the temperature reading corresponding to the given information.=-1.475 deg

6 0

3 years ago

Break apart the number you are subtracting write the different 73-7=

madreJ [45]

The answer is 66..................................................

5 0

3 years ago

A. Show that the vector v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of v is the negative

pishuonlain [190]

Answer:

Part A:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector = $\frac{b}{a}$

Step-by-step explanation:

Condition for perpendicular is:

$m_1m_2=-1$

Part A:

Consider the vector v = ai + bj

x component of vector=a

y component of vector=b

Slope of vector= $m_1=\frac{y}{x}=\frac{b}{a}$

Consider the line ax + by = c:

Rearranging the equation:

ax+by=c

by=c-ax

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

In our case the slope of above line is:

$m_2=\frac{-a}{b}$

According to the condition of perpendicular:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector is also calculated above.

Since the slope of vector is negative reciprocal of the slope of the given line:

According to equation of line ax + by = c

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

Slope of given line=m= $\frac{-a}{b}$

negative reciprocal of the slope of the given line = $\frac{b}{a}$

Slope of vector = $\frac{b}{a}$

5 0

2 years ago

What is an equation that passes through -1,2 and is parallel to the point 3x+y=3 ?

pentagon [3]

Answer:

y=3x+5

Step-by-step explanation:

For this you can use the point-slope formula: y-y1=m(x-x1). Since the line we're looking for is parallel, both slopes are equivalent.

First, you have to rewrite the primary equation into standard form, which would rewrite to y=3-3x or y=-3x+3. Then, you can use the information we have in the point-slope formula:

y-(2)=3(x+1)

y-2=3x+3

y=3x+5

Check:

(2)=3(-1)+5

2=-3+5

2=2

8 0

3 years ago

PLS HELP ME THIS IS DUE IN 2 MINS

marta [7]

Wait you still need help or no?

5 0

2 years ago

If A={4,5,6,7} and b={a,e,i,o,u} then find n (A)+n(B) ​

If A={4,5,6,7} and b={a,e,i,o,u} then find n (A)+n(B)