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4 years ago

14

Suppose you are making yourself a sandwich. how many different sandwiches can you make if you have 4 choices in bread, 2 choices

in meat, and 5 choices in cheese?

1 answer:

sesenic [268]4 years ago

8 0

You would have 40 Choices

You might be interested in

Write three expression that are equivalent to the given expression. 8k+36

Mazyrski [523]

Answer:

8,000+36 and 8x1000+36 thats the only few i could think of

Step-by-step explanation:

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4 0

3 years ago

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Tyler is building a fish tank in the shape of a sphere that has a diameter of 20 inches. Based on Tyler's research, it is recomm

nikklg [1K]

Answer: 6 fishes

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere = 4/3 x π x (diameter/2)^3

Replacing with the values given:

V = 4/3 x π x (20/2)^3

v = 4/3 x π x (10)^3 = 4,188.79 in3

Finally, we have to divide the volume of the fish tank by the volume that each goldfish needs.

4,188-79 / 693 = 6.04 = 6 fishes

Feel free to ask for more if needed or if you did not understand something.

3 0

4 years ago

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Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sampl

kompoz [17]

Complete Question

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sample of 15 students, the professors find the mean number of headaches is 19 and the standard deviation is 1.7. Assume the population distribution of number of headaches is normal.the correct conclusion at $\alpha =0.001$ is?

Answer:

There is no sufficient evidence to support the professor believe

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 18$

The sample size is $n = 15$

The sample mean is $\= x = 19$

The standard deviation is $\sigma = 1.7$

The level of significance is $\alpha = 0.001$

The null hypothesis is $H_o: \mu = 18$

The alternative hypothesis is $H_a : \mu > 18$

The critical value of the level of significance from the normal distribution table is

$Z_{\alpha } = 3.290527$

The test hypothesis is mathematically represented as

$t = \frac{\= x - \mu }{ \frac{\sigma}{ \sqrt{n} } }$

substituting values

$t = \frac{ 19 - 18}{ \frac{1.7}{ \sqrt{15} } }$

$t = 2.28$

Looking at the value of t and $Z_{\alpha }$ we can see that $t < Z_{\alpha }$ so we fail to reject the null hypothesis.

This mean that there is no sufficient evidence to support the professor believe

3 0

4 years ago

Which shows a difference of squares? 10 y squared minus 4 x squared 16 y squared minus x squared 8 x squared minus 40 x + 25 64

evablogger [386]

Answer:

16y² - x² shows a correct difference of squares.

Step-by-step explanation:

<em>Following are the given options from which we have to chose which represents the difference of squares. </em>

<em>A) 10y² - 4x²</em>

<em>B) 16y² - x²</em>

<em>C) 8x² - 40x+25</em>

<em>D) 64x² - 48x+9</em>

<em>Difference of square is given by: </em>

<em>a² - b² = (a + b) (a - b)</em>

<em>If we analyze the expressions from the choices given in the question. We should figure out that option B) should be the right answer that shows a difference of squares. i.e. 16y² - x² shows a correct difference of squares. All other options do not represent the difference of perfect squares.</em>

<em>As in option A) 10y² - 4x²</em>

10y² is not a complete square of any number. Hence, option A) is incorrect.

<em>As in option C) 8x² - 40x+25</em>

Neither of the terms in the expression as shown in option C can be a perfect square. Hence, option C) is incorrect.

As in option D) 64x² - 48x+9

The term 48x+9 in the expression as shown in option D can not be a perfect square. Hence, option D) is incorrect.

<em>Lets take the expression 16y² - x² of option B) and solve it.</em>

First simplify the terms separately to associate them as perfect squares as shown below:

⇒ 16y² = (4y)² <em>Equation (1)</em>

⇒ x² = (1x)² <em>Equation (2)</em>

Now, take the difference of <em>Equation (1) and Equation (2).</em>

<em> </em> ⇒<em> </em>16y² - x²

⇒ (4y)² - (1x)² <em>Equation (3)</em>

So,

Equation (3 )shows a difference of squares. It can also be represented as factorizing the difference of two perfect squares such as (4y - x) (4y + x).

Which is

(4y - x) (4y + x) = 16y² - x²

= (4y)² - (1x)²

So, option B) i.e. 16y² - x² shows a correct difference of squares.

Keywords: difference of square

Learn more about completing the square from brainly.com/question/12829957

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3 0

3 years ago

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Any one know the y intercept?<br> y=2x+-3

Bond [772]

Answer: -3

Step-by-step explanation:

the number at the end of the equation is the y-intercept. it's called "slope-intercept" form because the 2x that is at the beginning represents the slope, and the -3 at the end represents the y-intercept.

hope this helps!

7 0

3 years ago

Read 2 more answers