A quality control expert at a pretzel factory took a random sample of 10 bags from a production run of over 500 bags and measured the amount of pretzels in each bag in the sample. The sample data were roughly symmetric with a mean of 450 and a standard deviation of 15 g. Based on this sample, which of the following is a 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run?
A. 450 ± 4.743
B. 450 ± 7.803
C. 450 ± 8.695
D. 450 ± 15
e. 450 ± 27.495

Answer:

x= 12

Step-by-step explanation:

11x+2=134

-2 -2

_________

11x = 132

__ ___

11 11

x=12

Answer:

cash price:

10% = 250

2500 - 250 = $2,250

hire purchase:

2500 + 500 + 150(18) = $5,700

a) 5,700 - 2,250 = $3,450

Answer:

What is the current requirement needed for a person to have inbox power in brainly?

Answer:

Evaluate the expression shown below and write your answer as either a mixed number or fraction in simplest form, or a decimal.

2+(-5)+8.25 (-5.5)

Answer:

the radius is 4 inches

Step-by-step explanation:

diameter/2=radius

Answer: 4 inches

Step-by-step explanation: r= d/2=/2=4inches

Answer:

30 degrees

Step-by-step explanation:

Because the angles are complementary, they MUST equal to 90 degrees

Because measure of Angle A = 60, then the measure of Angle B = 30, because 60 + 30 = 90 degrees

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Answer:

  C. ... 3 1/4 cups

Step-by-step explanation:

The problem statement tells you that the other measures are combined. That means you're looking for an expression like ...

  3/8 × ((3 2/3) +(2 1/4) +(2 3/4))

This eliminates choices B and D.

If you look at the numbers in parentheses, you see that the 1/4 and 3/4 will have a sum of 1, so the only fraction in the sum will be 2/3. This eliminates choice A.

The only viable answer choice is C.

__

If you like, you can check to see that answer C is correct.

  (3/8)(8 2/3) = (3/8)(26/3) = 26/8 = 3 2/8 = 3 1/4

Answer:

i^12

Step-by-step explanation:

there is no further answer

Answer:

i^12 = 1  

One to any power is one.?

Answer:

Step-by-step explanation:

( x + 3) (2x - 7)

x(2x - 7) + 3(2x - 7)

Answer:

the ratio of food costs to take home dollars is 1:6

Step-by-step explanation:

The computation of the ratio of the foods cost to take home is shown below:

Given that

Monthly take home pay is $1,500

And, the spending month on food is $250

Based on the  above information

The ratio is

= $250 ÷ $1500

= 1:6

Hence, the ratio of food costs to take home dollars is 1:6

Answer:

Question 1: Statistical

Question 2: Not Statistical

Step-by-step explanation:

Given

Question 1 and 2

Required

Are they statistical questions?

A question is said to be statistical if it can be answered through data collection and if there are variances in the collected data.

Using this yardstick, we can say that (1) is a statistical question because the frequency at which the band perform in a week can be determined by gathering data of their past practice.

This can not be said of (2) because (2) has not been done yet, there is no available data to make predictions and lastly, the variance of an unavailable data can not be determined.

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Answer:

  (a)  7

Step-by-step explanation:

The congruence statement tells you that AC ≅ AE. AC is marked as 7, so ...

  AE = 7

_____

Additional comment

If you solve the triangle using the Law of Sines, you find that AC = AE = 6.484, not 7.

Answer:

9,942 bacteria were there at 10 hours.

Step-by-step explanation:

Equation for population decay:

The equation for population decay, after t hours, is given by:

[tex]P(t) = P(0)(1-r)^t[/tex]

In which P(0) is the initial population and r is the decay rate, as a decimal.

Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.

This means that [tex]P(0) = 200000[/tex] and that when [tex]t = 18, P(t) = 900[/tex]. So we use this to find r.

[tex]P(t) = P(0)(1-r)^t[/tex]

[tex]900 = 200000(1-r)^{18}[/tex]

[tex](1-r)^{18} = \frac{900}{200000}[/tex]

[tex]\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}[/tex]

[tex]1 - r = (\frac{900}{200000})^{\frac{1}{18}}[/tex]

[tex]1 - r = 0.7407[/tex]

So

[tex]P(t) = P(0)(1-r)^t[/tex]

[tex]P(t) = 200000(0.7407)^t[/tex]

At this rate of decay, how many bacteria was there at 10 hours?

This is P(10). So

[tex]P(10) = 200000(0.7407)^{10} = 9941.5[/tex]

Rounding to the nearest whole number:

9,942 bacteria were there at 10 hours.

Answer:

part A) yes, the bases and heights are the same

Part B) yes, the bases and heights are the same

Part C) not enough info

Step-by-step explanation:

Part C)

area of the circle = π(1/2h)²

area of ellipse = π(1/2h)(1/2 major axis)

Answer: I love these... Okay so the exterior angle is equal to the two remote interior angles meaning that 120 would be equal to 15x+5+22x+4 which is 70

Step-by-step explanation:

Answer:

[tex]AB= 20.9[/tex]

[tex]A = 33.2^\circ[/tex]

[tex]C = 54.8^\circ[/tex]

Step-by-step explanation:

Given

The above triangle

Required

Complete the lengths

To do this, we make use of sine rule.

[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]

[tex]\frac{14}{\sin A} = \frac{24}{\sin 70}[/tex]

[tex]\frac{14}{\sin A} = 25.54[/tex]

Cross multiply

[tex]\sin A * 25.54 = 14[/tex]

[tex]\sin A = \frac{14}{25.54}[/tex]

[tex]\sin A = 0.5482[/tex]

Take Arc sine of both sides

[tex]A = sin^{-1}(0.5482)[/tex]

[tex]A = 33.2^\circ[/tex]

To calculate C, we have:

[tex]C = 180 -A-B[/tex] --- angles in a triangle

[tex]C = 180 -55.2-70[/tex]

[tex]C = 54.8^\circ[/tex]

Calculate length AB using the sine rule.

[tex]\frac{AB}{sin C} = \frac{AC}{B}[/tex]

So, we have:

[tex]\frac{AB}{sin 54.8} = \frac{24}{sin 70}[/tex]

Make AB the subject

[tex]AB= sin 54.8*\frac{24}{sin 70}[/tex]

[tex]AB= sin 54.8* 25.54[/tex]

[tex]AB= 20.9[/tex] -- approximated

Answer:

A

Step-by-step explanation:

Answer:

880x+30

880    880

x=29.3 repeating

Step-by-step explanation: Hope this helps

Answer:

Area = 452.16 cm²

Volume = 904.32 cm³

Step-by-step explanation:

The solid is a sphere, therefore,

Volume = ⁴/3πr³

Where,

π = 3.14

r = 6 cm

Volume = ⁴/3*3.14*6³

Volume = 904.319997 ≈ 904.32 cm³ (nearest hundredth)

Area = 4πr²

Area = 4*3.14*6²

Area = 452.16 cm²

Answer:

76/9

Step-by-step explanation:

Alternative form: 8 4/9, 8.4

Answer:

x = -2

Step-by-step explanation:

4(x + 5) = 12

4x + 20 = 12

4x + 20 - 20 = 12 - 20

4x = -8

4x / 4 = -8 / 4

x = -2

Hope this helps, thank you :) !!

Answer:

C. 26 + 4x = 46

[(2x³y⁴)² × 2x]½

(2x³y⁴)½ ×(2x)½

2x³y⁴(2x)½

Answer:

(whats 1girl + 1 girl=) uhh ima go with 2girl ;)

Step-by-step explanation:

whats 1girl + 1 girl=?

well 1+1=2 so 1girl + 1 girl= 2girl

Answer:

The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.

Step-by-step explanation:

Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:

4 x 1.5 + 6 x 0 = 6

4 x 1 + 6 x 0.5 = 7

4 x 0.75 + 6 x 0.75 = 7.5

4 x 0.5 + 6 x 1 = 8

Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.

Answer:

we cant see the problem

Step-by-step explanation:

Answers:

6 pints = 12 cups

16 pints = 8 quarts

8 fluid ounces = 1 cup

8 pints = 1 gallon