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photoshop1234 [79]
3 years ago
8

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.300.30​, and the sample statis

tics include nequals=13931393 subjects with 404404 saying that they smoked a cigarette in the past week. find the value of the test statistic.
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0
Lynn has 50 red and 22 yellow chenille sticks. She needs 8 sticks for each craft. How many crafts can she make?
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For the following exercises, find the average rate of change of the functions from x = 1 to x =2.
VMariaS [17]

Answer:

For the function $f(x)=4 x-3$ the average rate change from x is equal 1 to x is equal 2 is 4 .

Step-by-step explanation:

A function is given f(x)=4x-3.

It is required to find the average rate change of the function from x is 1 to x is 2 . simplify.

Step 1 of 2

A function f(x)=4 x-3 is given.

Determine the function $f\left(x_{1}\right)$ by putting the value of x=1 in the given function.

$$\begin{aligned}&f(1)=4(1)-3 \\&f(1)=1\end{aligned}$$$$f(1)=1$$

Determine the function $f\left(x_{1}\right)$ by putting the value of x is 2 in the given function.

$$\begin{aligned}&f(2)=4(2)-3 \\&f(2)=5\end{aligned}$$

Step 2 of 2

According to the formula of average rate change of the equation $\frac{\Delta y}{\Delta x}=\frac{f\left(x_{2}\right)-f\left(x_{2}\right)}{x_{2}-x_{1}}$

Substitute the value of $f\left(x_{1}\right)$ with, $f\left(x_{1}\right)$ with $3, x_{2}$ with 2 and $x_{1}$ with 1 .

$$\begin{aligned}&\frac{\Delta y}{\Delta x}=\frac{5-1}{1} \\&\frac{\Delta y}{\Delta x}=4\end{aligned}$$

3 0
2 years ago
What algebraic expression must be added to the sum of 3x2 +4x+8 and 2x2−6x+3 to give 9x2−2x−5 as the result?
vesna_86 [32]

Answer:

4x^2-16

Step-by-step explanation:

-This is an addition/subtraction problem.

#We subtract the sum of the first two expression from the third expression:

\#Add \ first \ two\\\\=3x^2 +4x+8 +2x^2-6x+3\\\\=5x^2-2x+11\\\\\# Subtract\ from \ the \ third\\=(9x^2-2x-5)-(5x^2-2x+11)\\\\=9x^2-2x-5-5x^2+2x-11\\\\=4x^2-16

Hence, the expression 4x^2-16 must be added to the first two.

7 0
3 years ago
Factor-
Nastasia [14]

Hello from MrBillDoesMath!

Answer:

See Discussion section below

Discussion:

2x^2 + 5x + 3  = (2x+3)(x+1) which is Choice 3


3x^2+10x+4  =-1/3 (-3 x + sqrt(13) - 5) (3 x + sqrt(13) + 5)

I don't think any of the provided choices are right!


8x^2+10x-3 = (2x+3)(4x-1) which is Choice 2


6x^2-7x-4 = -1/24 (-12 x + sqrt(145) + 7) (12 x + sqrt(145) - 7)

I don't think any of the provided choices are right!


2x^2+x-28  =  (2x-7)(x+4) which is Choice 2


Thank you,

MrB

4 0
3 years ago
Write the common rule to describe the translation using coordinate notation.
UNO [17]

The common rule is (x - 1, y + 3) can be used to describe the translation.

Step-by-step explanation:

Step 1:

The point J (-3, -4) becomes J^{1} (-4, -1).

In order to write the rule for translation from J to J^{1}, we subtract the x coordinate of J from J^{1} and subtract the y coordinate of J from J^{1}.

The x coordinate = -4-(-3) = -4+3 = -1.

The y coordinate = -1-(-4) = -1+4 = 3.

Step 2:

So from the calculations, we get that the x coordinate is subtracted by 1 i.e. x-1 and the y coordinate is increased by 3 i.e. y+3.

So the common rule is (x - 1, y + 3).

4 0
3 years ago
A prime number less than 100 is selected randomly. what is the probability that its square has units digit $7$?
liberstina [14]
Any number ends with 0, 1, 2, 3, 4, 5, 6, 7, 8 or  9

Given any number. The square of this number is the last digit of square of the original numbers units digit.

For example

23*23 ends with 9 (3*3=9)

149*149 ends with 1 (9*9=81)

2564*2564 ends with 6 (4*4=16) 

and so on

so all the possible unit digits of a square number are {0, 1, 4, 5, 6, 9}

because:

0*0= 0 ; 1*1=1; 2*2=4; 3*3=9; 4*4=16; 5*5=25, 6*6=36; 7*7=49; 8*8=64, 9*9=81

Thus, the probability that the square of a number selected from any set of numbers being 7, is 0.


Answer: 0
 

4 0
3 years ago
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