Round 0.93 to the nearest tenth.

Which point is on the graph of f(x) = 2*5^x

vodomira [7]

Answer:

Option B (1,10)

Step-by-step explanation:

we have

$f(x)=2(5^x)$

we know that

If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)

Verify each case

case A) (0,0)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 0$

therefore

The ordered pair is not on the graph of f(x)

case B) (1,10)

For x=1

$f(x)=2(5^1)\\f(x)=2(5)=10$

Compare the value of f(x) with the y-coordinate of the ordered pair

$10=10$

therefore

The ordered pair is on the graph of f(x)

case C) (0,10)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 10$

therefore

The ordered pair is not on the graph of f(x)

case D) (10,1)

For x=10

$f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250$

Compare the value of f(x) with the y-coordinate of the ordered pair

$19,531,250\neq 1$

therefore

The ordered pair is not on the graph of f(x)

7 0

4 years ago

A rectangle has a length of 3x inches. The width of the rectangle is (2x+6) inches more than the length. A) Find the perimeter o

s2008m [1.1K]

Perimeter = 2*(length +width)
perimeter = 2*(3x + (3x +(2x+6)))
.. = 2*(3x +3x +2x +6)
.. = 2*(8x +6)
perimeter = 16x +12

If x=3, the perimeter is 16*3 +12 = 60 inches.

7 0

3 years ago

Solve: The quantity 2 x minus 20 divided by 3 = 2x −5 −3 2 13

harina [27]

(2x-20)/3 = 2x start by multiplying both sides by 3

8 0

3 years ago

The meat department of a local supermarket packages ground beef using meat trays of two sizes: 1 designed to hold 1 lb of meet a

r-ruslan [8.4K]

Answer:

c) 0.932

99% confidence interval for average weights of all packages sold in small meat trays.

(0.932 ,1.071)

Step-by-step explanation:

Explanation:-

Given random sample of 35 packages in small meat trays produced weight with an average of 1.01 lbs. and standard deviation of 0.18 lbs.

size of the sample 'n' = 35

mean of the sample x⁻= 1.01lbs

standard deviation of the sample 'S' = 0.18lbs

The 99% confidence intervals are given by

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-} +t_{\alpha } \frac{S}{\sqrt{n} } )$

The degrees of freedom γ=n-1 =35-1=34

tₐ = 2.0322

99% confidence interval for average weights of all packages sold in small meat trays

$(1.01 - 2.0322 \frac{0.18}{\sqrt{35} } , 1.01+2.0322 \frac{0.18}{\sqrt{35} } )$

( 1.01 - 0.06183 , 1.01+0.06183)

(0.932 ,1.071)

Final answer:-

99% confidence interval for average weights of all packages sold in small meat trays.

(0.932 ,1.071)

5 0

3 years ago

Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.

statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$