Dominic has invited 12 friends to his birthday party. How much can he spend per person on party favors if his budget is no more than $75?

Part A

Which inequality can be used to find how much he can spend on favors?

Answer:

I do believe that it is Option B

(Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.)

Step-by-step explanation:

This sample provide evidence that the grocery store manager overstated the true proportion P-value = 0.0333.

In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed, under the assumption that the null hypothesis is correct.

here, we have,

Given data in the question:

To test whether population proportion p is overstated;

Null hypothesis H₀ : p = (75%) = 0.75  

Alternative hypothesis H₁ : = < (75%) < 0.75

Now, sample proportion p" = 64 / 100 = 0.64

From the dot plot below,

we will determine the p-value for test { P(p" < 0.64)}

The number of times p"<0.64 in 150 simulations is 5

Therefore:

P(p" < 0.64 ) = 5 / 150 = 0.0333

P-value = 0.0333

At 5% level of significance;

0.0333 < 0.05

Therefore, we reject null hypothesis H₀ at 5% level of significance,

We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated.

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complete question:

A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choosing 150 SRSs of size n = 100 from a population of shoppers where 75% buy bananas. The dotplot shows pˆ = the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.

Answer:

Option 2

Step-by-step explanation:

10:28 plus 47 is 11:15

Answer:

B 18.79

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Then the solution set is all the values of x equal to or larger than -3.

Step-by-step explanation:

First, we know that each long strip represents an x.

Each white square represents 1.

Each grey square represents -1

Then, at the left side, we have:

8 long stripes.

12 white squares

Then we can write that as:

8*x + 12*1 ≥

And in the right side, we have 12 grey squares, then that is:

≥ 12*-1 = -12

Then the inequality is:

8*x + 12 ≥ -12

To find the solution set, we just need to isolate x.

First, we can subtract 12 in both sides to get:

8*x + 12 - 12 ≥ -12 - 12

8*x ≥ -24

Now we can divide both sides by 8

8*x/8 ≥ -24/8

x ≥ -3

Then the solution set is all the values of x equal to or larger than -3.

Answer:

[tex] \frac{108}{2 } = 54[/tex]

The value of y for the given circle will be 54°.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

The diameter is the longest line that can be drawn inside a circle.

In our daily life, we always see circle objects for example our bike wheel.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

In the given question by the circle theorem that if a curve makes a 2x angle then the extreme point will make the angle on circle as x.

So angle y = half of angle 108°

∠Y = 108°/2 = 54°

Angle w will also same as 54° because it also satisfies the theorem of the circle.

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Answer:

tyrone completed more of his report on Thursday.

Step-by-step explanation:

first you have to find the common denominator. in this case it would be 8. then you have to multiply 1/2 times 4 to make the denominators equal. so now instead of 1/2 it is 4/8. and 3/8 < 4/8

Answer:

Step-by-step explanation:

4(x-3)^2 = 80

4x-12^2= 80              --- (distribute)

4x+144= 80          --- ( why a positive 144 because a (-) * a (-) = a (+)

4x =  (80-144)      --- ( subtract -144 from +144(do it on both sides)

4x = -64    --- (divide both sides by 4)

x= -16

Answer:

2√5 +3

Step-by-step explanation:

Isolate x:

4(x-3)^2 = 80

Divide both sides by 4.

(x-3)^2 = 20

Then take the square root of each side.

(x-3) = √20

Add 3 to each side.

x = √20 + 3

√20 can be rewritten as 2√5.

x = 2√5 + 3

The total mass of 5 x 10³ microorganisms is  1.2 x [tex]10^{-2}[/tex].

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Mass of an organism = 2.4 x [tex]10^{-6}[/tex] grams

The total mass of 5 x 10³ microorganism.

= 5 x 10³ x 2.4 x [tex]10^{-6}[/tex]

= 12.0 x [tex]10^{3 - 6}[/tex]

= 12 x [tex]10^{-3}[/tex]

= 1.2 x [tex]10^{-2}[/tex]

Thus,

The total mass is 1.2 x [tex]10^{-2}[/tex]

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Answer: [tex]1716\ \text{ways}[/tex]

Step-by-step explanation:

Given

10 people board an airplane that has 13 aisle seats

No of ways of arranging r things out of n things is given by [tex]^nP_r[/tex]

Put the value of n and r as 13 and 10.

[tex]\Rightarrow ^{13}P_{10}=\dfrac{13!}{(13-10)!}\\\\\Rightarrow ^{13}P_{10}=\dfrac{13\times 12\times 11\times 10!}{10!}\\\\\Rightarrow ^{13}P_{10}=1716\ \text{ways}[/tex]

Answer:

Hi, there the answer is Graph A because the y-intercept and I did rise over run

Step-by-step explanation:

Hope this helps :)

Answer: False and x = sqrt(10^2 - 6^2) km

Step-by-step explanation:

1. False

2.Use Pythagoras theorem. The distance between the cars, 10km, is the hypotenuse of a right angled triangle, one leg of which is 6km and the other of which is, say, x km

x = sqrt(10^2 - 6^2) km.

Please mark me brainliest

Answer:

There is a little over 1 gallon

Step-by-step explanation:

Answer:

∠ G ≈ 8.3°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then

∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )

Answer:

i don't know that language sorry

Step-by-step explanation:

Answer:

y = 6 * 3ˣ

Step-by-step explanation:

y = a * bˣ

(-1 , 2):   2 = a * (b)⁻¹ = a/b               a = 2b

(2 , 54)  54 = a * b²  = 2b * b² = 2b³

b³ = 54/2 = 27          b = 3

a = 6

Function: y = 6 * 3ˣ

Answer:

D.

Step-by-step explanation:

x(x+2) (x-5) -240

put that on a graph calculator and the x=8

x=8

x+2=10

x-5=3

Answer:

V(5, 1)

Step-by-step explanation:

Given:

M(3, 2)

U(1, 3)

From midpoint to U:

(x, y) → (x - 2, y + 1)

To get from midpoint to V, we inverse the formula:

(x, y) → (x - 2, y + 1)

(x, y) → (x + 2, y - 1)

To find V:

(x, y) → (x + 2, y - 1)

(3, 2) → (3 + 2, 2 - 1)

(3, 2) → (5, 1)

Answer:

i dont undestand the question clearly but i think the anwer is D not sure

Answer: the answer is 37 and the 2rd picture is 4,805,402,400 hours

Step-by-step explanation:

Answer:

2. 22,29  3.5  4.31,34  5.25,29  6.6,17

Step-by-step explanation:

Answer:

A translation of 5 units to the right, followed by a reflection across the x axis.

Answer:

Solution given:For A

height [h]=9units

breadth[b]=9units

for both cylinder and cone

Volume of container A=volume of cylinder -volume of cone

=πr²h-1/3×πr²h=π(9²)9-1/3×(9²)9

so first option is your answer.

a. π(92)(9) − 1 over 3π(92)(9)

Answer:

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Dos triángulos son similares si cumplen uno de los siguientes criterios. : Dos pares de ángulos correspondientes son iguales. : Tres pares de lados correspondientes son proporcionales. : Dos pares de lados correspondientes son proporcionales y los ángulos correspondientes entre ellos son iguales.

Step-by-step explanation:

Answer:

[tex]y=\frac{4}{3}x -8[/tex]

Step-by-step explanation:

So first find the slope of the given line

-2 - 4 = -6

4 + 4 = 8

-6 ÷ 8 = [tex]-\frac{3}{4}[/tex]

The slope of a line perpendicular to another line is the opposite reciprocal of the given slope.

The opposite reciprocal of [tex]-\frac{3}{4}[/tex] is [tex]\frac{4}{3}[/tex]

So now all we need to finish the slope intercept form y = mx + b is b, which is the y intercept.

[tex]y=\frac{4}{3}x+b[/tex]

Now that they give us the X intercept, you can plug in the values (6, 0).

[tex]0=8+b[/tex]

b = -8

Answer:

34

Step-by-step explanation:

1. look at XV, and see that it equals 32 altogether.

WX is doubled the amount of WV. So it would be the same pattern on the other side.

2. 17*2=34

You might notice that 17-9=8, so wouldn't 34-16 be 8 as well. Nope, it would be doubled just like WX is doubled the amount of WV.

I guess so 35 ft or more than it

Answer:

Step-by-step explanation:

y=x^2-8x+14

To write in vertex form, group the two x-terms to make a complete square, adjust the constant term accordingly

y = x^2-8x+16  -2

factor the first three terms on the right hand side

y = (x-4)^2 -2

This means that the vertex is at x-4 = 0, or x=4, and y=2.

Answer:

-|7|, |4|, |2-9|, |6+4|

Step-by-step explanation:

I think this is correct

Answer:

The answer should be C

Step-by-step explanation

I've had this problem before, and know it should most definitely be C.

Hope I helped!