A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected

Answers

Answer 1

Answer: The events 'select a plain pencil' and 'select a color pencil' are independent. therefore the probability of both occurring is the product of their probabilities:
$P(plain\ pencil\ and\ color\ pencil)=(5)/(10)*(3)/(10)=(3)/(20)$
The answer is 3/20 or 0.15.

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234 base fiveWriten in base 10

Write the phrase as an expression. Then evaluate when x=5 .6 more than the product of 8 and a number x

Expression:

When x=5, the value of the expression is

Answer:

Answers

Answer:

The answer is 46 when x = 5

Step-by-step explanation:

8*x + 6

So x = 5

8*5 + 6

40 + 6

Answer:

Step-by-step explanation:

Kremena's bank account earns 4.5% simple interest per year. How much must she deposit in the account today if she wants it to be worth $1,250 in 3 years? Round your answer to the nearest dollar.

Answers

Answer: $1101 must be deposited into the account.

Step-by-step explanation:

Let x represent the amount that must be deposited.

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents the interest after T years.

P represents the principal or initial amount deposited.

T represents the amount of time for which the money is left in the account in years.

R represents the interest rate.

From the information given,

P = $x

T = 3 years

R = 4.5%

I = 1250 - x

Therefore,

1250 - x = (x × 4.5 × 3)/100

1250 - x = 0.135x

x + 0.135x = 1250

1.135x = 1250

x = 1250/1.135

x = 1101 to the nearest dollar

Answer:

1095$ should be invested today .

Step-by-step explanation:

The formula of present value will be applied here :

Present Value= Future Value/(1+ interest rate)^Years

Present Value = 1250/(1.045)^3

Question 101 pts Suppose that you had consumer group wanted to test to see if weight of participants in a weight loss program changed (up or down). They computed a 95% confidence interval of the result (2.177, 4.977). What do we know about the p-value for the test? Group of answer choices It would be greater than 0.05. Can not be determined. It would be 0.05. It would be less than 0.05.

Answers

From the confidence interval given, we have that the correct option is:

It would be less than 0.05.

At the null hypothesis, we test that there are no changes, that is, the means are equal, so:

$H_0: \mu_A = \mu_B$

$H_0: \mu_A - \mu_B = 0$

At the alternative hypothesis, we test if there was a change, that is, if the means are different, so:

$H_1: \mu_A - \mu_B \neq 0$ .

The confidence interval for the difference of means is: (2.177, 4.977).

It does not contain 0, which means that they are different.

Statistically significant results, which indicate difference, have low p-values, that is, lower than 0.05, thus the p-value would be less than 0.05.

A similar problem is given at brainly.com/question/22968227

Answer:

It would be less than 0.05.

Step-by-step explanation:

The hypothesis test was done to claim that the weight of participants has changed.

The null and alternative hypothesis could be written as:

$H_0: \mu=0\n\nH_a: \mu\neq0$

being μ the population mean change in weight.

With that information, we can tell that is a two tailed test. Sample means that fall in any of the tails, with a z-statistic over 1.96 or under -1.96 (at a significance level of 0.05), will be evidence to reject the null hypothesis.

The information we have about the sample is the 95% confidence interval calculated from the sample information.

This confidence interval does not include the value μ=0.

Then, there is 2.5% of probabiltity that the population mean is under 2.177, the lower bound of the interval, which includes the value μ=0.

With this information, we can conclude that the P-value have to be under 0.05.

Daniel's mom deposits $80 into his savings account for the year. Daniel decides to upgrade his game account which costs $7 per month. How many months will Daniel be able to pay for his game account if his mom doesn't deposit any more money into his savings account?

Answers

Answer:

11.43

Step-by-step explanation:

80÷7= 11.428571428571428571428571428571

i hope this helps

Please help me ASAP also I dont remember learning this in algebra 1

Answers

Answer:

The correct answer should be B!

Step-by-step explanation:

"A rational number is a number that can be express as the ratio of two integers. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational."

"A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)"

"Common Examples of Irrational Numbers

Pi, which begins with 3.14, is one of the most common irrational numbers. ...

e, also known as Euler's number, is another common irrational number. ...

The Square Root of 2, written as √2, is also an irrational number."

Thus leading me to the conclusion that B is the correct answer!