a. 12.3
b. 8.1
c. 0.1

Step-by-step explanation:

No, the product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - the act of multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.

Answer:

a composite one

Step-by-step explanation:

Why?

It is easy-peasy.

First, it is impossible to have a prime number. Because primes are only divisible by 1 and themselves.

For example, 3 is a prime. 7 is a prime. Multiply them and get 21.

I hope it helped:)

Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.

Given:

The probability distribution for a random variable x is given in the table.

x     :    -5          -3            -2            0           2          3

P(x) :  0.17      0.13       0.33       0.16       0.11      0.10

To find:

The probability of -2.

Solution:

From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.

[tex]P(-2)=0.33[/tex]

Therefore, the probability of -2 is 0.33.

Answer:

Son's age is 25.

Step-by-step explanation:

Let the Father's age be 2x.

Let the son's age be x.

Five years ago:

Man's age will be = 2x - 5

Son's age will be = x - 5

If the ratio of their ages five years ago was 9:4, then:

2x - 5/x-5 = 9/4

⇒ 4(2x - 5) = 9(x - 5)

⇒ 8x - 20 = 9x - 45

⇒ -20 + 45 = 9x - 8x

⇒ 25 = x

∴ x = 25

Hence, the son's age = 25 years

If x = 25, the father's age (2x) will be 2 × 25 = 50 years

Answer:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are  

✔ same-side interior

angles.  Because AB and DC are  

✔ parallel

, the same-side interior angles must be  

✔ supplementary

by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Step-by-step explanation:

Answer:

The answer above is correct!

The correct options are:

First box: option D. same-side interior

Second box: option C. parallel

Third box: option D. supplementary

Step-by-step explanation:

Hope this helped - just got it right on edge!

Brainliest would be greatly appreciated :)

Answer:

45

Step-by-step explanation:

4[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] for x = 3

Substitute 3 in for x

4([tex]3^{3}[/tex]) - 7([tex]3^{2}[/tex])

4(3·3·3) - 7(3·3)

4(27) - 7(9)

108 - 63

45

Answer:

45

Step-by-step explanation:

Hi there!

We are given 4x³-7x² and we need to evaluate the expression if x=3.

To do this, substitute 3 as x into the expression, and then use the order of operations to solve

so substitute 3 as x into the expression (remember: x² is x*x, or (x)²)  

4(3)³-7(3)²

now using the order of operations, start by evaluating the exponents

(3)³=3*3*3=9*3=27

(3)²=3*3=9

the expression then becomes:

4*27-7*9

multiply

108-63

subtract

45

Hope this helps! :)

Answer:

13 feet

Step-by-step explanation:

the width = 234/18 = 13 feet

Answer:

-26

Step-by-step explanation:

Answer:

11:90

12: 90

13: 90

14:90

15:180

16: 135

17:225

Step-by-step explanation:

I don't know if this is entirely true but I hope it helps

Answer:

The inequality form is -4<x<-2

The Interval Notation is (-4, -2]

I hope this helps!

Answer:

Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

Answer:

Reflected over the x‒axis and reflected over the y-axis

Step-by-step explanation: pls mark me as brainly

Answer:

SN

Step-by-step explanation:

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

3/20

Step-by-step explanation:

By question it's given that ,

[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]

[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]

And we need to find out the value of a/c .For that Multiply both of them , we have ;

[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]

Hence the required answer is 3/20 .

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point a:

Following are the null and alternative hypotheses:

[tex]H_0 : \mu_1 \leq \mu_2\\\\H_1 : \mu_1 > \mu_2[/tex]

For point b:

By using the Excel we obtained the output of the 2 sample t-test that is defined in the attached file.  

These point estimately are the difference among the mean for the two populations:

[tex]\to \mu_{\bar{x_1}-\bar{x_2}} = \mu_{\bar{x_1}}-\mu{\bar{x_2}} ={\bar{x_1}-\bar{x_2}}=573-491=82[/tex]

Answer:

2.5x+50

Step-by-step explanation:

Answer:

Inside

Step-by-step explanation:

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of poiñt from centre is less than the radius.

Hence the point lies within the circle

Answer:

factors are 1,2,3,4,6,8,12,24

Answer:

The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199

Step-by-step explanation:

The given probability that the pitcher throws a strike, p = 0.507

The number of pitches thrown by the pitcher = 15 pitches

The probability that the pitcher does not throw a strike, q = 1 - P

∴  q = 1 - 0.507 = 0.493

By binomial theorem, we have;

[tex]P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}= \dbinom{n}{r}p^{r} \cdot \left (1-p \right )^{n-r}[/tex]

When X = r =  8, and n = 15, we get;

The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows

P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199

Answer:

C

Step-by-step explanation:

I took the quiz and it was C! Hope this helps :)

Hello,

if A.P means arithmetic progression then

let's say a the first term and r the common difference.

[tex]\left\{\begin{array}{ccc}(a)+(a+r)+(a+2r)+...+(a+5r)&=&72\\a+r&=&7*(a+4r)\end{array}\right.\\\\\\\left\{\begin{array}{ccc}6a+15r&=&72\\6a+27r&=&0\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&\dfrac{-9}{2}*r\\-9r+5r&=&24\end{array}\right.\\\\\\\left\{\begin{array}{ccc}r&=&-6\\a&=&27\end{array}\right.\\\\[/tex]

Answer:

1296

Step-by-step explanation:

6^4

Answer:

[tex]\frac{-1+1}{0-(-2)}=0[/tex]

[tex]ANSWER: A)~0[/tex]

------------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

Answer:

5.3 pounds

Step-by-step explanation:

1.2 plus 1.8 is 3 pounds

then you add 3 pounds plus 2.3 lbs and you get

5.3 pounds

Answer:

5.3

Step-by-step explanation:

If you add how much Mitchell bought (1.2) and how much his friends bought (2.3), (1.8) therefore the answer is 5.0 or rounded is just 5

Question options:

A. Yes, Walter is correct.

B. No 3.612 is less than 13.

C. No, both 3.612 and 3.622 are greater than

D. No, both 3.612 and 3.622 are less than 13

Answer:

C. No, both 3.612 and 3.622 are greater than the square root of 13

Explanation:

13 is a prime number and must have a decimal number as its square root and so the square root should be between √9 and √16

Using the Newton Raphson method to estimate the square root of 13 with the formula: ai +1= ai²+n/2ai

We get square root of 13 = 3.6055512

This is the same result we get using a calculator to calculate square root of 13= 3.6055512

So yes Walter is not correct

Answer:

(a) basketball

(b) hat

(c) stuffed animal

explanation:

I'm not sure if got right but from what i see;

Chances from 1-23 you get a stuffed boi

Chances from 24-54 you get a hat (why)

Chances from 55-100 you get a basketball

Winner 5 got 90, which is between 55-100

Winner 6 got 35, which is between 24-54

winner 8 got a 7, which is between 1-23

Hope I didn't read it wrong

Answer:

C)33.9. I hope it's help

Answer:

x=80

Step-by-step explanation:

The angle of a line is 180*.

The equation would be (x+20)+x=180

Subtract 20 from both sides: 2x=160

Divide by 2: x=80

That's your answer!

I hope this helps!

Answer:

x=80

Step-by-step explanation:

I cant explain well but edge 2021 never lie's!

Answer:

[tex]n=\frac{S}{180}+2[/tex]

Step-by-step explanation:

Hi there!

[tex]S=(n-2)180[/tex]

We can isolate n by performing inverse operations on both sides to cancel out values.

First, divide both sides by 180 to isolate n-2:

[tex]\frac{S}{180}=n-2[/tex]

Now, add 2 to both sides to isolate n:

[tex]\frac{S}{180}+2=n\\n=\frac{S}{180}+2[/tex]

I hope this helps!