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4 years ago

A bag contains 8 pieces of paper, each with one of these letters written on it: A, B, C, E, K, L, M, and R. One piece of

Mathematics

1 answer:

Delvig [45]4 years ago

6 0

Answer:

Below.

Step-by-step explanation:

Letter P is drawn - Impossible because there is no paper with P on it.

Letter drawn is a consonant - Likely because there are 6 out of 8 letters which are consonants.

Letter drawn is a vowel - Unlikely because there are only 2 vowels out of 8 letters.

Letter drawn is one of the first ten letters in the alphabet - Equally likely as there is 4 of these out of a total of 8.

Letter is L - Unlikely as there is only 1 piece of paper with L on it.

The paper draw has one letter on it - Certain as there is a letter on all the pieces of paper.

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A(8x + 7) what is the value of a

sdas [7]

Answer:

A B C E F G H I J K L M N O P Q R S T U V W Y & Z so I guess the value of A is 1

Step-by-step explanation:

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3 years ago

hammer [34]

Answer:

The test statistic is z=2.5.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 10% of the 16 ounce cups are underfilled.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

The significance level is assumed to be 0.05.

The sample has a size n=100.

The sample proportion is p=0.18.

$p=X/n=18/100=0.18$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.001}=0.03$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.18-0.1-0.5/100}{0.03}=\dfrac{0.075}{0.03}=2.5$

This test is a right-tailed test, so the P-value for this test is calculated as:

$P-value=P(z>2.5)=0.006$

As the P-value (0.006) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

7 0

3 years ago

What is the function f(x) = 2(x + 6), find x if f(x) = 22

lord [1]

Answer:

Step-by-step explanation:

f(x) = 2(x + 6)

f(x) = 22

thereofre we have the equation:

2(x + 6) = 22 <em>use distributive property</em>

2x + 12 = 22 <em>subtract 12 from both sides</em>

2x = 10 <em>divide both sides by 2</em>

x = 5

3 0

3 years ago

The scale on a map is 2 cm = 25 miles . Dave measured the distance to the next town at 5cm. How many miles away is the next town

Alla [95]

Divide 25 by two and which is 12.5 then multiply that by 5 and you get you’re answer

6 0

2 years ago

Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Gi

Rama09 [41]

Answer:

£1999.85

Step-by-step explanation:

A = P(1 + rt)

Where:

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P = Initial amount invested = £1850

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t = Time in years = 3 years

Calculation:

First, converting R percent to r a decimal

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Solving our equation:

A = £1850(1 + (0.027 × 3))

A = £1999.85

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3 0

3 years ago