have a good holiday guys

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Null [H0] : chips x = 408

Alternate [H1] : chips x < 408

t = ( x' - u ) / (s / √n)

x' = sample mean , u = population mean, s = standard deviation, n = no. of observations.

(406 - 408) / (21 /√45)

-2 / 3.13

= 0.64

t value for α = 0.01 (one tailed), with degree of freedom = 44  : is 2.41

As calculated t 0.64 < tabulated t 2.41. So we don't reject the null hypothesis & state that chips x = 408

A dilation by a scale factor of 5 centered at the  origin simply multplies by 5 the coordinates of every point. So, the new coordinates are (-5, -25)

Answer:

An equilateral triangle is formed.

Step-by-step explanation:

Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.

Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is [tex](180\textdegree - 60\textdegree - 60\textdegree)[/tex] = [tex]60\textdegree[/tex].

Therefore, a triangle with all angles at 60° is an equilateral triangle.

Hope this helped!

Answer:

The answer is 6,240 yards

Step-by-step explanation:

If there is 48 each week thats basically 48×52 = 2496 which is how many dresses times how many yards per dress(2.5)I get 6240.

Hope this helps!!

Answer:

6240

Step-by-step explanation:

Amount of material it takes to make 1 dress = 2.5 yards

Amount of dresses Harley's Clothing Design will produce each week = 48 dresses

Number of weeks in 1 year = 52

2.5*48= 120

120 yards of material used in 48 dresses in one week.

120*52=6240

Therefore, the store will need to purchase 6240 yards of material in order to produce 48 dresses per week for 52 weeks, which is about 1 year.

Hope this helps!

Answer:

They started at 4:45 pm

Step-by-step explanation:

Time spend at the mall:

15 minutes in the shoe store

1 hour shopping for a dress

30 minutes eating

Total 1 hour 45 minutes

x + 1 hour 45 minutes = 6:30

Subtract 1 hours

5 : 30 pm

Subtract 45 minutes

4 :45 pm

They started at 4:45 pm

Answer:

20 + 0.50x = m

Step-by-step explanation:

Key:

x = number of messages

m = cost per month

Hope this helps and I hope u have an Amazing day!!

Answer:

Step-by-step explanation:

15×4(which is the difference in the year)=60%(this is the depreciation percent)

The value of the car in 2017=40/100×25000=$10000

Answer:

C. doesnt have a solution

Answer:

Hence 262 adults and 88chidren are in the audience

Step-by-step explanation:

Let the number adults be x

Let the number of children be y

If there are 350seats in the theatre then;

x+y =350 .... 1

Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;

10.50x + 7.50 y = 3411..... 2

Solve simultaneously

From 1, x = 350-y

Substitute into 2:

10.50(350-y) +7.50y = 3411

3675-10.5y+7.50y = 3412

3675-3y = 3411

-3y = 3411-3675

-3y = -264

y = 264/3

y = 88

From 3: x = 350-y

x = 350-88

x = 262

Hence 262 adults and 88chidren are in the audience

Answer:

The system of inequalities representing the situation above is given as:

Number of ink drawings x ≥ 0

Number of water colors ≥ 0

Number of preparation time: 0.3x + 0.5y ≤ 120

Number of packaging time: 0.2x + 0.2y ≤ 60

Step-by-step explanation:

They volunteered to spend:

Number of hours for preparation = 120

Number of hours for packaging = 60

Number of hours to prepare ink drawing = 0.3

Number of hours to prepare water colour = 0.5

Number of hours it takes to package each card = 0.2

x = number of ink drawings

y = number rod water colour

The system of inequalities representing the situation above is given as:

Number of ink drawings x ≥ 0

Number of water colors ≥ 0

Number of preparation time: 0.3x + 0.5y ≤ 120

Number of packaging time: 0.2x + 0.2y ≤ 60

Option d is the correct option

Answer:

Store A

Step-by-step explanation:

Store A: 5% of 50 is 2.5. If we subtract the discount from the original price, we get $47.50 as the discounted price

Store B: 20% of 60 is 12. If we subtract the discount from the original price, we get $48 as the discounted price

47.50 < 48

(hope this helps)

Answer:

Store A

Step-by-step explanation:

5% of $50 is $2.50, which means that store A is $2.50 off.

20% of 60 is %12, which means store B is $12.00 off.

However, store A has an original price that is $10 less than store A, and if you do $50 - $2.50 = $47.50 and Store B's price equals out to $60 - $12 - $48.00

this means that the full price with discount is lower for store A than it is for store B

Answer:

I think it's 39 I'm wrong but that's what I think sorry

Answer:

They did not run at the same speed. Calculation of their speed shows that Jada was running at a higher speed.

Step-by-step explanation:

Let's first calculate the speed of each person using the units provided so that we  do not complicate the question.

speed =  distance covered/time taken

Andre's speed = 2 km/15 min = 0.133 km/min

Jada's speed = 3km/20 min = 0.15 km/min

Clearly we can see that Jada was running at a higher speed than Andre. The question says they were running at constant speed not equal speed. That just means each person maintained their speed, they did not get faster or slower.

Answer:

The train was travelling at 60 km/h

Step-by-step explanation:

We're already given time and distance, and speed is just distance/time, so:

240km / 4h

= (240/4) km/h

= 60km/h

Answer:

The Perimeter of a rectangle will be:

P = 252 in

Hence, option (E) is true.

Step-by-step explanation:

Given the rectangle with the sides

We know that the Perimeter of a rectangle can be calculated using the formula

where l is the length, and w is the width

substituting  [tex]l[/tex] = 14-5, [tex]w[/tex] = 7×4

P = (14-5) × (7×4)

P = 9 × 28

P = 252 in

Therefore, the Perimeter of a rectangle will be:

P = 252 in

Hence, option (E) is true.

Answer:

Bottom left choice

Step-by-step explanation:

SSS congruence is side-side-side congruence, which is a method to prove triangles congruent by all three sides of the triangle being congruent. The other choices all involve congruent angles. Therefore, the bottom left choice is the best answer.

Also, notice that the bottom left choice shows which side is congruent to which. All three sides of one of the triangles are shown to be congruent with the corresponding side to the other triangle, therefore, congruent by SSS.

I hope this helps! :)

9514 1404 393

Answer:

  top down: 1, 5, 6, 4, 8, 2, 3, 7

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for the arc length of a circle with central angle, θ, in degrees.

  [tex]\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]

Replace 360° with 2π radians.

  [tex]\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}[/tex]

Replace the angle ratio in degrees with the angle ratio in radians.

  [tex]\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi r[/tex]

Simplify by cancelling

  [tex]\textit{Arc Length}=\theta r[/tex]

Answer:

B.

Step-by-step explanation:

14 x 4 + 137 x 8 = $1,152

hope this helps

have a great day

and a Merry Christmas UwU

Answer:

I think they left at 1:45 hope this helped!

Step-by-step explanation:

Answer:

[tex]\theta= 84[/tex]

Step-by-step explanation:

Given

[tex]\sin(\theta) = \cos(6)[/tex]

Required

Find [tex]\theta[/tex]

In trigonometry,

If [tex]\sin(\theta) = \cos(\alpha)[/tex], then

[tex]\theta + \alpha = 90[/tex]

So, in this case:

[tex]\theta + 6= 90[/tex]

Subtract 6 from both sides

[tex]\theta + 6-6= 90-6[/tex]

[tex]\theta= 90-6[/tex]

[tex]\theta= 84[/tex]

Hence, the value of [tex]\theta[/tex] is 84 degrees

Answer:

Answer:1,875

Step-by-step explanation:15,000 ÷ 8 = 1,875

Answer: I think it is 1200

Step-by-step explanation: because $15000 of 8% is equal to 1200 because it just is

85 dollars each week

Answer:

C

Step-by-step explanation:

Answer:

what question

Step-by-step explanation:

Answer:

y=94x

Step-by-step:

If you have any trouble understanding how i got this please let me know and i will do another explanation.

Answer:

4 and 4/10 is greater

Step-by-step explanation:

4 and 4/10 is (4*10+4)/10=44/10

44>32

Answer:

I think it’s A, Good luck!

Step-by-step explanation:

Answer:

Step-by-step explanation:

bottom option