The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Use alpha = 0.05.
1. The test statistic is a:____.
a. 1.96.
b. 1.64.
c. 2.00.
d. 0.056.
2. The p-value is:____.
a. 0.0456.
b. 0.0482.
c. 0.4772.
d. 0.9759.
e. 0.9772.
3. At the 5% level, you:___.
a. fail to reject the null hypothesis.
b. reject the null hypothesis.
4. Compute the probability of a Type II Error when mu = 2.8.

Answer:

C

Step-by-step explanation:

Answer:

30 clovers

Step-by-step explanation:

If Nathaniel find 2 four-leaf clovers in the first 12 minutes of his search, the rate at which he finds the four-leaf clovers is:

[tex]\implies \sf Rate=\dfrac{2\;clovers}{12\;minutes}=\dfrac{1}{6}\;clovers\;per\;minute[/tex]

To predict the number of four-leaf clovers Nathaniel will find in 180 minutes, multiply the found rate by 180 minutes:

[tex]\implies \sf \dfrac{1}{6} \times 180=30\;clovers[/tex]

Therefore, Nathaniel will find 30 clovers in 180 minutes based on the rate at which he found 2 clovers.

[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=2/12×180

\: [/tex]

[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=30clovers[/tex]

Answer:

X = 2/3

Step-by-step explanation:

there is some misinformation here but I’m just gonna assume these rectangles are proportional.

If the longer side for the first one is 3 and the longest side for the second is 2 meaning that the second side is multiplied by 2/3

So if we multiply 1 by 2/3, it will be 2/3 meaning x = 2/3

hope this helps :)

Answer:15

Step-by-step explanation:multiples of 3 and 5 and the LCM of 5 and 3 is 15

Answer:

nadara y correra hasta dentro de 15 días

Step-by-step explanation:

3 y 5 se multiplican y dan 15, entonces durante ese tiempo, Juanita correra 2 veces y nadara 4 veces, cuando sea el día en el que correra por tercera vez, tambien será el día en el que nadará por quinta vez

Answer:

2599.50

Step-by-step explanation:

7500 - 2(2450.25) = 2599.50

9514 1404 393

Answer:

  {f(x), g(x)} = {x^4, x(x+4)}

Step-by-step explanation:

If we look at the composite function from the point of view of the Order of Operations, we see the operations performed on x are ...

From the point of view of decomposition, we want the outer function (f(x)) to be one that can be applied to the expression produced by the inner function (g(x)). Looking at our list, we find that raising an expression to the 4th power could qualify as the outer function we want. (We could also use raising to some other power, if we wanted.)

So, f(x) = x^4.

This leaves ...

  f(g(x)) = f(4x +x^2)

so, g(x) = 4x +x^2.

One possible set of functions is ...

  {f(x), g(x)} = {x^4, x(x+4)}

Answer:

option 1 is correct

y= 1/2 cos 2x

Explanation

put x= 0

as cos 0= 1

y= 1/2= 0.5

Now put x = π/4

y= 1/2 cos 2*(π/4)=1/2 cosπ/2=0

as cosπ/2=0

Answer:

Step-by-step explanation:

Which problem situation matches the

equation $95.25 = 15p?

So We Can Just Cross B Cause $6.35 Wasnt Even In The equation

Lets look at A.

So Im pretty sure its A, But Lets look at the rest.

.

D Wouldnt Work Cause It Says The Spend $95.25 EACH

C dont work so its A.

Answer:

x=7

Step-by-step explanation:

25x+5=180

      -5    -5

25x=175

/25    /25

The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.

The converse statement should also be true when its condition is reversed.

Let's check all the options. Then we have

A.  If a figure is a square, then it has four sides. The converse of the statement is false.

B.  If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.

C.  If two angles are congruent, then they have the same measure. The converse of the statement is true.

D.  If two planes are parallel, then they have no points in common. The converse of the statement is true.

The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

More about the conditional statement link is given below.

https://brainly.com/question/18152035

#SPJ1

Answer:

a(n) = 1 + 7(n-1)

Step-by-step explanation:

Answer:

24a^2 +50a+25

Step-by-step explanation:

Answer:

What is the time and place in which events happen?

a. conflict

b. plot

c. settings

d. theme

The answer is setting because it's the condition, time, and place in which events or actions happen.

#BrainliestBunch

Answer:

plz convert it i can't understand

Answer:

n>11

Step-by-step explanation:

The solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.

To determine and graph the inequality 7n - 1 > 76;

First Add 1 to both sides of the inequality to isolate the variable term.

7n - 1 + 1 > 76 + 1

7n > 77

Divide both sides of the inequality by 7 to solve for n.

(7n) / 7 > 77 / 7

n > 11

Since n is greater than 11, the graph will be an open circle on 11, and an arrow extending to the right.

Therefore, the solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ6

Answer:

  To get black from red ...

Step-by-step explanation:

You want the know the transformation that is applied to the red graph to make it be the black graph.

We note that the vertex of the black graph is (-1, 4), which is 1 unit left and 4 units up from the vertex of the red graph.

The black graph opens downward, and has a slope of ±3 compared to the slope of ±1 for the red graph. This means it has been reflected across the x-axis and scaled by a factor of 3.

The reflection and scaling can both be accomplished by multiplying the function by -3. The translation is accomplished by adding 4 to the function value to shift it up 4 units, and adding 1 to the x-value to shift the graph left 1 unit.

The transformations applied to the red graph are ...

Answer:

Pentagonal pyramid

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

[tex] \bf \red { Area: \; \boxed{ 24 } units^2} [/tex]

Formula of area of a parallelogram is :

○ b denotes base

○ h denotes height

Here,

→ Area of the parallelogram = 6 units × 4 units

→ Area of the parallelogram = 24 units²

[tex] \therefore [/tex] Area of the parallelogram is 24 units².

[tex] \bf \purple { Perimeter: \; \boxed{ 22 } units} [/tex]

Since, opposite sides of a parallelogram are equal. So,

○ First side = 6 units

○ Second side = 5 units

○ Third side = 6 units

○ Fourth side = 5 units

→ Perimeter = ( 6 + 5 + 6 + 5 ) units

→ Perimeter = ( 12 + 10 ) units

→ Perimeter = 22 units

[tex] \therefore [/tex] Perimeter of the parallelogram is 22 units.

[tex]\boxed{ \sf { AREA \; FORMULA }} [/tex]

[tex]\boxed { \sf { A = Base \times Height }} [/tex]

Step-by-step explanation:

2a+c

=2( 2+(-6) )

=2( -4 )

= -8

9514 1404 393

Answer:

  1372π/3 cm^3 ≈ 1436.8 cm^3

Step-by-step explanation:

The diameter and height of the cylinder are both 14 cm. The resulting solid will be a 14 cm sphere. Its volume is ...

  V = 4/3πr^3 = 4/3π(7 cm)^3 = 1372π/3 cm^3 ≈ 1436.8 cm^3

Answer:

1/5 lawn = 20 min.

    ?      =    1 min

0.05 lawn in 1 minute

rate of 0.05 mowed per minute.

Answer: The club members estimate that they will sell 100 tote bags when the price is $11 each, and for every price increase of $1, they estimate they will sell 10 fewer bags. If the price increases to $13, then this is a $2 increase from the original price, so we can calculate the number of fewer bags they estimate they will sell:

10 fewer bags per $1 increase * $2 increase = 20 fewer bags

To find the number of bags they estimate they will sell when the price is $13, we can subtract this decrease from the original number of bags they estimate they will sell:

100 bags - 20 fewer bags = 80 bags

To find the revenue in dollars, we can multiply the number of bags they estimate they will sell by the price of the bags:

80 bags * $13 per bag = $1040

So the estimated revenue when the bags are priced at $13 each is $1040

Step-by-step explanation:

Answer:

it would be able to make 20 different sets. not at the same time though. you would only be able to make 2 at one time

Hi there!

[tex]\large\boxed{P = \frac{1}{4}}[/tex]

We can assume from the image that the region G is approximately 1/4 of the total spinner.

Thus, the probability of the spinner landing on section G is 1/4.

Answer:

I would say it's a 10:4 ratio.

Answer:

they are equivalent just trust me

Step-by-step explanation:

m/4n m*2  and 4n82 = 2m/9n is same as m/4n *2

Answer:

Equivalent

Step-by-step explanation:

Yes, they are equivalent, we know that because if we multiply both the numerator and the denominator of the first fraction by 2, we will get the second one.

[tex]\frac{m}{4n} = \frac{m * 2}{4n*2} = \frac{2m}{8n}[/tex]

Answer:

320 pushups

Step-by-step explanation:

16/6= 8/3

8/3*120=32