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3 years ago

14

2. Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expressi

on for x=7.
Input (x) Output
0                1
1                 5
2                25
3               125
4               625

1 answer:

Kruka [31]3 years ago

4 0

Your equation would be:

<span>y=5^x.</span>

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Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

KengaRu [80]

Answer:

0.139

Step-by-step explanation:

We are given that

Total number of cards=52

n=18

We have to find the probability of drawing at least 7 spades

Total number of spaded in deck of 52 cards=13

Probability of getting spade= $p=\frac{13}{52}=\frac{1}{4}$

Probability, $P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}$

Probability of getting no spade= $q=1-p=1-\frac{1}{4}=\frac{3}{4}$

By binomial theorem of probability

$P(X=x)=\binom{n}r}p^rq^{n-r}$

P(x $\geq 7)=1-P(x\leq 6)$

The probability of drawing at least 7 spades= $1-\sum_{r=0}^{6}\binom{18}{r}(\frac{3}{4})^{18-r}(\frac{1}{4})^r$

The probability of drawing at least 7 spades=0.139

4 0

3 years ago

A line has a slope of 1/2 and passes through the point (6,2).

Mamont248 [21]

Answer:

a) y-2=1/2(x-6) b) The y-intercept of this line is -1.

Step-by-step explanation:

y-y1=m(x-x1)

y-2=1/2(x-6)

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

y=1/2x-6/2+2

y=1/2x-3+2

y=1/2x-1

y=mx+b where m=slope and b=y-intercept.

8 0

3 years ago

What are the leading coefficient and degree of the polynomial?<br> -4w^5+23w^4+10+w^2

makvit [3.9K]

Its 5, I believe you get this by just looking at the largest exponent

3 0

3 years ago

Esther pays $532 per month for 6 years for a car. she made a down payment of $3,700. if the loan costs 7.1% per year compounded

PSYCHO15rus [73]

The amortization formula relates the principal and the loan payment by
A = Pi/(n(1 -(1 +r/n)^(-nt)))
You have
532 = P*0.071/(12*(1 -(1 +.071/12)^(-12*6))) = P*0.017097
P = 532/0.017097 = 31,116.45

This was the amount financed, so the original price is 3700 higher.
The cash price of the car was $31,116.45 +3,700 = $34,816.45

8 0

4 years ago

Read 2 more answers

Which expression could represent the length of a rectangle that has an area equal to 4x2+12x?

grandymaker [24]

there are two expressions that can represent the length of the rectangle, these two expressions are:

L = x

or

L = (4x + 12)

<h3>Which expression could represent the length of the rectangle?</h3>

Remember that for a rectangle of length L and width W, the area is given by:

A = L*W

In this case, we know that the area is:

$A = 4x^2 + 12x$

We can factorize that expression into:

$A = x*(4x + 12)$

So there are two expressions that can represent the length of the rectangle, these two expressions are:

L = x

or

L = (4x + 12)

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

6 0

1 year ago