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3 years ago

10.The school needs to purchase a new refrigerator for student rewards. Lowes and Sears have the model

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

Lowe’s would be a better. They would be $10 cheaper even after the delivery fee.

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I need help, you’ll receive brainlest!

OleMash [197]

Answer:

Step-by-step explanation:

5 0

2 years ago

a store is having a clearance sale where merchandise on the sales racks is reduced by 80% from the original. if a jacket was ori

posledela

The sales price is $15.2

Step-by-step explanation:

Given,

Discount = 80%

Original price = $76

Discount price = 80% of original price

$Discount\ price=\frac{80}{100}*76\\Discount\ price=\frac{6080}{100}\\Discount\ price=\$60.8$

Sale's price = Original price - Discount price

$Sale\ price= 76-60.8\\Sale\ price= \$15.2$

The sales price is $15.2

Keywords: Subtraction, percentage

Learn more about subtraction at:

#LearnwithBrainly

8 0

3 years ago

A migrating bird flies 312 miles in 13 hours. How many miles does it fly in 5 hours?

irinina [24]

The answer is 120 miles , because it is a proportion

4 0

2 years ago

31 divided by 3 equals what

shtirl [24]

31 divided by 3 is 10.33 repeated

3 0

3 years ago

Read 2 more answers

Suppose a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution Y ~ N(μ = 10 mg,

lianna [129]

Answer:

(a) Probability that Y falls into the dangerous region is 0.0013.

(b) Probability that the mean Y-bar falls into the dangerous region is 0.00001.

Step-by-step explanation:

We are given that a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution Y ~ N(μ = 10 mg, σ = 1 mg).

A dosage of 13 mg is considered dangerous.

Let Y = dosage of the active ingredient

The z-score probability distribution for normal distribution is given by;

Z = $\frac{ Y-\mu}{\sigma} } }$ ~ N(0,1)

where, $\mu$ = population mean = 10 mg

$\sigma$ = standard deviation = 1 mg

(a) Probability that Y falls into the dangerous region is given by = P(Y $\geq$ 13 mg)

P(Y $\geq$ 13 mg) = P( $\frac{ Y-\mu}{\sigma} } }$ $\geq$ $\frac{ 13-10}{1} } }$ ) = P(Z $\geq$ 3) = 1 - P(Z < 3)

= 1 - 0.9987 = 0.0013

The above probability is calculated by looking at the value of x = 3 in the z table which has an area of 0.9987.

(b) We are given that a dosage of 13 mg is considered dangerous. And we sample 49 capsules at random.

Let $\bar Y$ = sample mean dosage

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar Y-\mu}{\frac{\sigma}{\sqrt{n} } } } }$ ~ N(0,1)

where, $\mu$ = population mean = 10 mg

$\sigma$ = standard deviation = 1 mg

n = sample of capsules = 49

So, Probability that the mean Y-bar falls into the dangerous region is given by = P( $\bar Y$ $\geq$ 13 mg)

P(Y $\geq$ 13 mg) = P( $\frac{\bar Y-\mu}{\frac{\sigma}{\sqrt{n} } } } }$ $\geq$ $\frac{13-10}{\frac{1}{\sqrt{49} } } } }$ ) = P(Z $\geq$ 21) = 1 - P(Z < 21)

= 0.00001

6 0

2 years ago