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3 years ago

Add up the answer first to see of these correct or incorrect, if incorrect explain why it is not equal.

Mathematics

1 answer:

Stells [14]3 years ago

8 0

Answer:

1) incorrect

2) incorrect

Step-by-step explanation:

-2x-2x = 0 ?

-2x -2x = -4x

It will be 0 only if x = 0.

Not always true, so incorrect

x+x = x² ?

2x = x²

They will be equal if x = 0 or 2.

Not always true so incorrect

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250 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 250 students

Vilka [71]

Answer:

Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department. In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program. All Program C students take a minimum of five core math courses: Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Evaluate the six trigonometric functions of the angle 0.

Arturiano [62]

Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

Hypotenuse = 18

Adjacent side to θ = 10

Opposite side to θ = ?

Using Pythagoras theorem:

$\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2$

$18^2 =10^2+\text{opposite}^2$

$324=100+\text{opposite}^2$

Subtract 100 from both sides.

$224=\text{opposite}^2$

Taking square root on both sides.

$4\sqrt{14}=\text{opposite}$

Using trigonometric ratio formula:

$$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}$

$$\sin\theta =\frac{4\sqrt{14} }{18}$

$$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}$

$$\csc\theta =\frac{18}{4\sqrt{14} }$

$$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}$

$$\cos \theta=\frac{10}{18}$

$$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}$

$$\sec \theta=\frac{18 }{10}$

$$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}$

$$\tan \theta=\frac{4\sqrt{14} }{10}$

$$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}$

$$\cot \theta=\frac{10}{4\sqrt{14} }$

8 0

3 years ago

How do I do regular fractions and equivalent fractions

jenyasd209 [6]

Regular= 3/5 equivalent= 6/10 just multiply the top and bottom by the same number.

8 0

3 years ago

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To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

QveST [7]

Answer:

We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 31.7 milligrams

Sample mean, $\bar{x}$ = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 2.8 milligrams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}$

We use One-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429$

Now, $t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0

3 years ago

A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided 3/5 of a

r-ruslan [8.4K]

Answer: $\dfrac{1}{5}\text{ of an ounce.}$

Step-by-step explanation:

Given : A biologist studied how cells grow by adding liquid protein to cell samples.

She divided $\dfrac{3}{5}$ of an ounce of liquid protein evenly among 3 cell samples.

Here , total quantity of liquid protein = $\dfrac{3}{5}$ of an ounce

Total cell samples = 3

Now , Quantity of liquid protein given by her to each cell = (total quantity of liquid protein ) ÷ (3)

= $\dfrac{3}{5}\times\dfrac{1}{3}=\dfrac{1}{5}\text{ of an ounce}$ .

Hence, Quantity of liquid protein given by her to each cell = $\dfrac{1}{5}\text{ of an ounce.}$

4 0

3 years ago