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3 years ago

Tamara says that 15÷3=5. is she correct? Explain

Mathematics

2 answers:

Nookie1986 [14]3 years ago

6 0

Yes because if you multiply 5*3 than it will equal 15

Alex787 [66]3 years ago

4 0

There are 5 groups of 3 in the number 15, so 15/3=5

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What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?

djyliett [7]

Answer:

5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

C = πd

For a diameter of 5 units, the circumference is ...

C = π(5) = 5π = 15.708 . . . units

_____

Additional comment

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

6 0

3 years ago

A quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain bra

tensa zangetsu [6.8K]

Answer:

We conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

Step-by-step explanation:

We are given that a quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates.

Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories.

Let $\mu$ = average calorie content of a 12-ounce can.

So, Null Hypothesis, $H_0$ : $\mu \leq$ 120 calories {means that the average calorie content of a 12-ounce can is less than or equal to 120 calories}

Alternate Hypothesis, $H_A$ : $\mu$ > 120 calories {means that the average calorie content of a 12-ounce can is greater than 120 calories}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average calories per can = 124 calories

s = sample standard deviation = 6 calories

n = sample of cans = 10

So, test statistics = $\frac{124-120}{\frac{6}{\sqrt{10} } }$ ~ $t_9$

= 2.108

The value of t test statistics is 2.108.

Now, at 0.05 significance level the t table gives critical value of 1.833 at 9 degree of freedom for right-tailed test. Since our test statistics is more than the critical values of t as 2.108 > 1.833, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

7 0

3 years ago

Daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average

defon

Answer:

C gives you 90.2

Step-by-step explanation:

84+88+90+100=362

362/4=90.2

8 0

3 years ago

NOTE: Angles not necessarily drawn to scale.

Alina [70]

Answer:

x = 56°

Step-by-step explanation:

DAF is a straight line so it has a measurement of 180°

180° - 64° - 60° = x

x = 56°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0

3 years ago

Jose bought 4.75 pounds of pecans at $5.80 per pound. how much did jose pay for the pecans

butalik [34]

Answer:

27.55

Step-by-step explanation:

4.75 times 5.80 is 27.55

Hope it helps!

8 0

3 years ago