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2 years ago

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In the table, x represents the age in years of a collectible baseball card, and y represents its value in dollars. Cost of a Pac

k of Baseball Cards Age in years, x Value in dollars, y 5 0.75 10 5.75 15 10.75 20 15.75 Which statement is correct about the slope of the linear function that the table represents?

2 answers:

lukranit [14]2 years ago

6 0

Answer:

b

Step-by-step explanation:

The slope is positive because as the age increases, the value increases.

Digiron [165]2 years ago

4 0

Answer:

B.

Step-by-step explanation:

no explanation needed, i took the test already :)

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Tessa had $90 in her checking account. She paid her cable/internet bill for $60. She deposited $50 from her part-time job before

Lady bird [3.3K]

90-60+50-65=15

$15 in her account

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2 years ago

Read 2 more answers

An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0

2 years ago

Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4

crimeas [40]

We have been given an expression $\left( 4^{-2} \cdot 4^{-3} \right)^{3}$ . We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, $a^m\cdot a^n=a^{m+n}$ , we cab rewrite our given expression as:

$\left( 4^{-2+(-3)} \right)^{3}$

$\left( 4^{-5} \right)^{3}$

Now we will use exponent property $(a^m)^n=a^{m\cdot n}$ to further simplify our expression.

$\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}$

$\left( 4^{-5} \right)^{3}= 4^{-15}$

Therefore, Chris made mistake in step 2.

8 0

2 years ago

Mg+rg=2H, solve for g

Simora [160]

Answer:

$g=\frac{2\,H}{m+r}$

Step-by-step explanation:

Starting with :

m g + r g = 2 H

extract "g" as a common factor on the left of the equal sign:

g (m + r) = 2 H

Now, in order to solve for "g" , divide both sides of the equal sign by the binomial (m + r):

g = (2 H )/(m + r)

$g=\frac{2\,H}{m+r}$

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1 year ago

The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=5.6x. The installation fee i

iren [92.7K]

Answer:

the installation fee is $104.40

Step-by-step explanation:

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1 year ago