Anyone know how long the penguin walks in 45seconds?!

Greg made pudding every weekend. The more times he made pudding, the more practice he gained. The time he took to make the same

VashaNatasha [74]

After Greg makes the pudding 1 time, it takes him $f(1)=2(0.8) ^{1}=1.6$ hours to make it.

After Greg makes the pudding 2 times, it takes him $f(2)=2(0.8) ^{2}=1.28$ hours to make it

After Greg makes the pudding 2 times, it takes him $f(3)=2(0.8) ^{3}=1.024$ hours to make it

so The function is $f(x)=2(0.8) ^{x}$

Answer: f of x equals 2 multiplied by 0.8 to the power of x

4 0

3 years ago

A line passes through the point (–2, 7) and has a slope of –5. A coordinate plane. What is the value of a if the point (a, 2) is

Nana76 [90]

Y = mx + c

7= (-5)(-2)+ c

7= 10 +c

7-10=c

-3=c

Equation of the line: y = -5x-3

Sub in (a, 2)

2= - 5(a)-3

2+3= -5a

5= - 5a

1= - a

A = -1

8 0

2 years ago

Read 2 more answers

I am thinking of three numbers. The second number is 5 times the first. The third number is

Fed [463]

Answer:

3, 15, 14

Step-by-step explanation:

x + 5x + ( 5x -1) = 32

11x - 1 = 32

11x = 32 + 1

11x = 33

11x/11 = 33/11

x = 3

therefore

the first number is 3

the second is 5 × 3 = 15

the third number is 15 - 1 = 14

4 0

2 years ago

Lisa purchased almonds for $3.00 per pound and she spent $24.90. How many pounds of almonds did she purchase? The price went up

aleksandr82 [10.1K]

Answer:

1. Lisa purchased almonds for $3.00 and spent $24.90.

The quantity of almonds bought is therefore:

= Total amount spent / Cost per pound

= 24.90 / 3

= 8.3 pounds

2. If the price goes up to $3.50 per pound and the maximum Lisa can spend is $25, the number of pounds she can get is:

= Maximum amount for almonds / Price per almonds

= 25 / 3.5

= 7.14 pounds

5 0

3 years ago

Determine the critical value or values for a one-mean z-test at the 1% significance level if the hypothesis test is right-tailed

kifflom [539]

Answer:

We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:

Null hypothesis: $\mu \leq \mu_o$

Alternative hypothesis: $\mu > \mu_o$

For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

$z_{crit}= 2.326$

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean

$\sigma$ represent the standard deviation for the population

$n=$ sample size

$\mu_o$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:

Null hypothesis: $\mu \leq \mu_o$

Alternative hypothesis: $\mu > \mu_o$

For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

$z_{crit}= 2.326$

3 0

2 years ago