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3 years ago

8

Deion Sanders can run the 40 yard dash in 4.19 seconds. At this rate, how long would it take him to run a mile?

1 answer:

Lilit [14]3 years ago

3 0

Answer:

184.36

Step-by-step explanation:

If you times 40×45=1760 so you have to times 4.19×44= The answer/ 184.36

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Find the value of k if the line y = kx + 2 goes through the point<br><br> A (-2, 4)

viktelen [127]

Answer:

k=-1

Step-by-step explanation:

check is the equation goes through the point (-2,4)

4=-(-2)+2

4=2+2

4=4

this line goes through the point (-2,4)

Hope this helps UwU...

7 0

3 years ago

A study of a company's practice regarding the payment of invoices revealed that an invoice was paid an average of 20 days after

morpeh [17]

Answer:

=0.1587 or 15.87%

So option A is correct answer so 15.87% of the invoices were paid within 15 days of receipt.

Step-by-step explanation:

In order to find the percent of the invoices paid within 5 days of receipt we have to find the value of Z first.

$Z=\frac{X-u}{S}$

where:

X is the random varable which in our case is 15 days

u is the mean or average value which is 20 days

S is the standard deviation which is 5 days

$Z=\frac{15-20}{5}$

Z=-1.0

We have to find Probability at Z less than -1

P(Z<-1.0) which can be written as:

=1-P(Z>1.0)

From Cumulative distribution table:

=1-(0.3413+0.5)

=0.1587 or 15.87%

So option A is correct answer so 15.87% of the invoices were paid within 15 days of receipt.

7 0

3 years ago

Generate the nest three terms of each arithmetic sequence shown below.

o-na [289]

Answer:

A)2,6,10

B)2,-6,-18

C)-1,-3,-5

Step-by-step explanation:

<u>A)a1=-2 and d=4</u>

We know that the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{2}=a_{1}+(2-1)d$

$a_{2}=a_{1}+(1)d$

Substituting the given value we get

$a_{2}= -2+(1)4$

$a_{2}= -2+4$

$a_{2}= 2$

------------------------------------------

Similarly

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the given value we get

$a_{3}= -2+(2)4$

$a_{3}= -2+8$

$a_{3}= 6$

-------------------------------------------------

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the given value we get

$a_{4}= -2+(3)4$

$a_{4}= -2+16$

$a_{4}= 10$

-------------------------------------------------------------------------------------------

<u>B</u><u> $a_n=a_{(n-1)}-8$ with $a_1=10$ </u>

$a_2=a_{(2-1)}-8$

$a_2=a_{1}-8$

Substituting the given value

$a_2= 10-8$

$a_2=2$

---------------------------------------------------------------------

$a_3=a_{(3-1)}-8$

$a_3=a_{2}-8$

Substituting the value

$a_3=2-8$

$a_3= -6$

---------------------------------------------------------------------

$a_4=a_{(4-1)}-8$

$a_4=a_{3}-8$

Substituting the value

$a_4= -6-8$

$a_4= -14$

-------------------------------------------------------------------------------------------

<u>C) $a_1=3, a_2=1$ </u>

Here the difference is -2

the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the value we get

$a_{3}= 3+(2)-2$

$a_{3}= 3-4$

$a_{3}= -1$

------------------------------------------------------------------------------

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the value we get

$a_{4}= 3+(3)-2$

$a_{4}= 3-6$

$a_{4}= -3$

----------------------------------------------------------------------------------

$a_{5}=a_{1}+(5-1)d$

$a_{5}=a_{1}+(4)d$

Substituting the value we get

$a_{5}= 3+(4)-2$

$a_{5}= 3-8$

$a_{5}= -5$

4 0

3 years ago

Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope

IrinaVladis [17]

Answer:

The correct answer is option B.

Step-by-step explanation:

Two point form of the equation:

$(y-y_1)=\frac{y_2-y_1}{x_2-x_1}\times (x-x_1)$

$\frac{y_2-y_1}{x_2-x_1}=Slope=m$

$(y-y_1)=m\times (x-x_1)$

A line passing through the point (-1,6) with slope ,m = -3.

The equation of the line will be:

$y-6=(-3)(x-(-1))=(-3)(x+1)$

Hence, the correct answer is option B.

3 0

3 years ago

Read 2 more answers

Write 0.76 as a fraction.

marshall27 [118]

Answer:

76/99

Step-by-step explanation:

76 ÷ 99 = 0.767676....

6 0

3 years ago

Read 2 more answers