All categories

4 years ago

True or false? -4 is a natural number.

Mathematics

1 answer:

Vika [28.1K]4 years ago

4 0

No, -4 is not a natural number. It is a negative, the only natural numbers are positiv numbers. Hope this helped!

You might be interested in

A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute

GREYUIT [131]

Answer:

(a) Null Hypothesis, $H_0$ : $\sigma$ = 10 beats per minute

Alternate Hypothesis, $H_A$ : $\sigma\neq$ 10 beats per minute

(b) The value of chi-square test statistics is 35.704.

(c) P-value = 0.4360.

(d) We conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.

Step-by-step explanation:

We are given that a simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute.

If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute.

Let $\sigma$ = population standard deviation for the pulse rates of men.

(a) So, Null Hypothesis, $H_0$ : $\sigma$ = 10 beats per minute {means that the pulse rates of men have a standard deviation equal to 10 beats per minute}

Alternate Hypothesis, $H_A$ : $\sigma\neq$ 10 beats per minute {means that the pulse rates of men have a standard deviation different from 10 beats per minute}

The test statistics that will be used here is One-sample chi-square test for standard deviation;

T.S. = $\frac{(n-1)\times s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, s = sample standard deviation = 10.1 beats per minute

n = sample of men = 36

So, the test statistics = $\frac{(36-1)\times 10.1^{2} }{10^{2} }$ ~ $\chi^{2}__3_5$

= 35.70 4

(b) The value of chi-square test statistics is 35.704.

(c) Also, the P-value of the test statistics is given by;

P-value = P( $\chi^{2}__3_5$ > 35.704) = 0.4360

(d) Since the P-value of our test statistics is more than the level of significance as 0.4360 > 0.10, so we have insufficient evidence to reject our null hypothesis as the test statistics will not fall in the rejection region.

Therefore, we conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.

3 0

4 years ago

What is the result of subtracting the polynomial (X2 + 3x) from the polynomial (-2X + 4X2 +5)?

HACTEHA [7]

Answer: -5x+3x²+5

Step-by-step explanation:

(-2x+4x²+5)-(x²+3x)

=-2x+4x²+5-x²-3x

=-2x-3x+4x²-x²+5

=-5x+3x²+5

=3x²-5x+5 (if you are required to write in standard form)

4 0

3 years ago

Consider WXY and BCD with X= C, WX = BC, and WY = BD. Can it be concluded that WXY = BCD by SAS?

rosijanka [135]

Answer:

nswer:- B. No, because the corresponding congruent angles listed are not the included angles. Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD. We can see that ∠X and ∠C are not included angles by the corresponding equal sides.

6 0

3 years ago

Read 2 more answers

You can get the max points i can give for this :)

andriy [413]

Answer:

${a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {9}^{2} = {17}^{2} \\ {a}^{2} = 289 - 81 \\ {a}^{2} = 208 \\ a = 14.42cm$

3 0

3 years ago

In two or more complete sentences, explain how to solve the cube root equation, ^3√x+1 -2=0

IrinaVladis [17]

Explanation:

The first step is to figure out what the equation is. When unconventional math symbols are used, and when there are no grouping symbols identifying operands, that can be the most difficult step. Here, we think the equation is supposed to be ...

$\sqrt[3]{x+1}-2=0$

It usually works well in radical equations to isolate the radical. Here that would mean adding 2 to both sides of the equation, to undo the subtraction of 2.

$\sqrt[3]{x+1}=2$

Now, it is convenient to raise both sides of the equation to the 3rd power.

$x+1=2^3=8$

Finally, we can isolate the variable by undoing the addition of 1. We accomplish that by adding -1 to both sides of the equation.

$x=7$

The equation is solved. The solution is x = 7.

5 0

3 years ago