Can I get help with this

A prime number has two factors, itself and 1? *

slamgirl [31]

Answer:

That is true. More information below.

Step-by-step explanation:

A prime number has to have only two factors: 1 and itself. 1 only has one factor (itself) so it is, as you were saying, neutral.

6 0

3 years ago

3pt=_____ centimeters 40oz=___________lb

deff fn [24]

Not sure what pt means
the other unts are all liquid measures and cm is a measure in legnth

8oz=1 pound so
40/8=pound=5
40oz=5lb

1000ml=L
1500/1000=1.5L
1500ml=1.5L

1L=1.056qt
1.056 times 12=12.68
12L=12.68qt

5 0

3 years ago

❶ Find the values of x, y and z in each of the case given below ⟼

Ket [755]

Answer:

1)

y = 45° (converse of alternate interior angle theorem)

z = 45° (alternate interior angle theorem)

k = 135° (exterior angle theorem)

2)

Cos θ + Sin θ = √2 Cos θ

(Cos θ + Sin θ)² = (√2 Cos θ)²

(Exponential property of equality)

Cos² θ + Sin² θ + 2 (Cos θ • Sin θ) = (√2 Cos θ)²

(Distributive property)

1 + 2(Cos θ • Sin θ) = (√2 Cos θ)²

(Definition of the pythagorean identity).

This identity is true because, if a² + b² = c². The triangle must be a right triangle, and a right triangle always has a 90° angle tangent to the triangle, and the tangent of 90° is 1, cos applied to the adjacent over hypotenuse, and sin applies to the opposite over hypotenuse, so this identity must work).

1 + 2(Cos θ • Sin θ) = 2 Cos² θ

(definition of an exponent)

1 + 2(Cos θ • Sin θ) – 1 = 2 Cos² θ – 1

(subtraction property of equality)

2(Cos θ • Sin θ) = 2 Cos² θ – 1

2(Sin θ • Cos θ) = 2 Cos² θ – 1

(Associative property of multiplication ; the input for both functions are θ so this rule works, this is an exception)

Sin (2x) = 2 Cos² θ – 1

(double angled identity of 2 sine and cos)

5 0

3 years ago

Somebody please help and explain it.

s2008m [1.1K]

Explanation is in the file

tinyurl.com/wpazsebu

3 0

3 years ago

A. Student study times. A class survey in a large class for first-year college students asked, "About how many hours do you stud

insens350 [35]

Answer:

A. 12.68 - 14.72 hours

B. Normal distribution.

Step-by-step explanation:

Part A

This question is using quantitative data. A 99% confidence interval means that you want to know the range where 99% of the population will be. To find this you have to convert the 99% CI into the z-score which is -2.58SD to + 2.58SD.

Note that the standard deviation(SD) is from the sample, not the population. We still need to find the standard deviation of the population. The formula is:

population SD = $\frac{o}{\sqrt[]{n} }$

Where the o= sample SD = 7.4

n= number of sample = 463

The calculation will be:

population SD = $\frac{o}{\sqrt[]{n} }$

population SD = $\frac{7.4}{\sqrt[]{463} }$ = 0.3951

The bottom limit will be:

Mean - SD * z-score= 13.7 - 0.3951*2.58 = 12.68 hours

The upper limit will be:

Mean + SD * z-score= 13.7 + 0.3951*2.58 =14.72 hours

The 99% CI range will be 12.68 - 14.72 hours

Part B

The table used to convert confidence interval into z-score depends on the distribution type of the data. Most data is classified as normal distributed, a data type that will concentrated at mean and spread equally from the mean. Normal distribution data will look like a bell which make it also called bell curve.

The question tells you that the data is normal distribution, but that doesn't mean every data is normally distributed. There are a lot of other data distribution type so we have to do some tests to know the normality of the data in real-life data.

4 0

3 years ago