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Gnesinka [82]
3 years ago
15

Jiffy Mix in Chelsea, Michigan has a machine that fills the Jiffy Corn Muffin Mix boxes with Mix. It dispenses corn muffin mix w

ith a normal distribution and has a mean of 10.0 and a standard deviation of 0.1 ounces
Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Question:

A. The middle 95% of Jiffy Corn Muffin Mix boxes contain between _____ and ________ounces of cereal

Answer:

Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal

Step-by-step explanation:

The question requires us to construct the 95% confidence interval of the normal distribution as follows;

The mean, μ = 10

The sample standard deviation, σ = 0.1

Assumption

Number of boxes, n = 1000

The formula for confidence interval is as follows;

CI= \mu \pm z\frac{\sigma}{\sqrt{n}}

Where, z at 95% confidence level is given as ±1.96

Plugging in the values, we have;

CI=10 \pm 1.96 \times \frac{0.1}{\sqrt{1000}}

Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal.

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Jules reads that 1 pint is equivalent to 0.473 liters. He asks his teacher how many liters there are in a pint. His teacher resp
andrey2020 [161]

One pint is equivalent to 0.473 liters which is approximately 0.47 liters if rounding off nearest to hundredth decimal places and 0.5 liters if rounding off nearest to tenth places.

Further explanation:

Jules reads that one pint is equivalent to 0.473 liters.

1\,\,{\text{Pint}}=0.473\,\,{\text{liters}}

But according to his teacher, one pint is about 0.47 liters.

1\,\,{\text{Pint}}\approx0.47\,\,{\text{liters}}

His teacher round off a value of one pint in liters nearest to hundredth places.

Also according to his parents, one pint is about 0.5 liters.

1\,\,{\text{Pint}}\approx0.5\,\,{\text{liters}}

His parents round off the value of one pint in liters nearest to tenth place.

Therefore, his parents and teachers are both right approximately.

Thus, one pint is equivalent to 0.473 liters which is approximately 0.47 liters if rounding off nearest to hundredth decimal places and 0.5 liters if rounding off nearest to tenth places.

Learn more:

1. Write an algebraic expression for the following word phrase the quotient of r and 12 brainly.com/question/1600376

2. 9 ten thousands ÷ 10 in unit form brainly.com/question/4786449

3. What is the value of the digit 4 in the number 84 230 brainly.com/question/106975

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimal system

Keywords: Hundredth, pint, decimal places, liters, teacher, approximately, divisor, kg, share, rounding off

3 0
3 years ago
How do i solve 1/2 × 3/7how do I solve one third of 3/7 <br><img src="https://tex.z-dn.net/?f=%201.5%20%5Ctimes%203.7" id="TexFo
Andrews [41]

1) \frac{1}{2}\,X\,\frac{3}{7}=\frac{3}{14}

2)  \frac{1}{3}\,X\,\frac{3}{7}=\frac{1}{7}

3)   1.5 \times 3.7\\=5.55

Step-by-step explanation:

We need to solve following expressions.

1) \frac{1}{2}\,X\,\frac{3}{7}

We need to multiply numerator with numerator and denominator with denominator

Solving:

\frac{1}{2}\,X\,\frac{3}{7}\\=\frac{3\,X\,1}{2\,X\,7}\\=\frac{3}{14}

It cannot be further simplified so,  \frac{1}{2}\,X\,\frac{3}{7}=\frac{3}{14}

2) one third of 3/7

one third stands for 1/3

Now solving:

\frac{1}{3}\,X\,\frac{3}{7}

We need to multiply numerator with numerator and denominator with denominator

\frac{1}{3}\,X\,\frac{3}{7}\\=\frac{3\,X\,1}{3\,X\,7}\\=\frac{3}{21}\\=\frac{1}{7}

It cannot be further simplified so,  \frac{1}{3}\,X\,\frac{3}{7}=\frac{1}{7}

3) 1.5 \times 3.7\\

In this question we have to multiply 1.5 with 3.7

1.5 \times 3.7\\=5.55

So, 1.5 \times 3.7\\=5.55

Learn More:

You can find more information about multiplication of fractions at:

brainly.com/question/2456302

brainly.com/question/2166248

Keywords: fractions, multiplication

#learnwithBrainly

5 0
3 years ago
The vertex of a parabola is at $(12, -4)$, and its axis of symmetry is vertical. One of the $x$-intercepts is at $(15, 0)$. What
laila [671]

Answer:

9

Step-by-step explanation:

Since the axis of symmetry is vertical and the vertex of the parabola is at (12,-4), the vertical line x=12 is the axis of symmertry. The x-distance between the axis of symmetry and the first x intercept (15,0) is equal to 15-12=3. Hence, this x-intercept is 3 units to the right of the axis, and because it is symmetric, the other x-intercept must be 3 units to the left of the axis, so its x-coordinate must be 12-3=9. Then, the other x-intercept is at the point (9,0)

5 0
3 years ago
Matthew launches a ball at 34 meters/sec from a 28 meter tall platform. The function of the ball's height (h) at time (t) second
Alex17521 [72]

Answer:

17 seconds

Step-by-step explanation:

h(t) represents height, we want to know when the ball will return to a height of 28 feet.  So our equation is..

28 = -2t² + 34t + 28

Now solve for t...

0 = -2t² + 34t         (subtract 28 from both sides)

0 = t² - 17t             (divide both sides by -2)

0 = t(t - 17)          (factor out a t)

So

t = 0

or

t - 17 = 0

  t = 17          

0 seconds is the initial height.  At 17 seconds, the ball will return to that height

5 0
3 years ago
Nicole wants to rent a boat and spend less than $33. The boat costs $6 per hour , and Nicole has a discount coupon for $9 off. W
eimsori [14]

Answer: Nicole can spend up to 7 hours in the boat.

Step-by-step explanation:

Based on the information given in the question, the possible number of hours that can be used will be calculated as thus:

(6 × t) - 9 ≤ 33

6t - 9 ≤ 33

Collect like terms

6t ≤ 33 + 9

6t ≤ 42

Divide both side by the coefficient of t

6t/6 ≤ 42/6

t ≤ 7

Nicole can spend up to 7 hours in the boat.

4 0
2 years ago
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