Draw a number line and show the following numbers.<br> one-digit primes

Our product is 72. The difference between us is 1. What numbers are we?

sweet [91]

Xy = 72
x - y = 1
x = 1 + y

(1+y)y = 72
y + y^2 = 72
y^2 + y - 72 = 0
(y-8)(y+9) = 0
y = 8 , y = - 9

x = 1 + 8
x = 9

y = 8

i am a mathematics teacher. if anything to ask please pm me

4 0

3 years ago

Which polynomial is in standard form?

Tems11 [23]

The only equation that is written in descending order is

2x³+4x²-7x+5 , Option D is the correct answer.

<h3>What is a Polynomial ?</h3>

A polynomial is a mathematical expression consisting of variables , constants and mathematical operators.

The standard form of a polynomial is

$\rm a_1x^n +a_2x^{n-1}+............+a_0$

The only equation that is in its standard form or in other words

The only equation that is written in descending order is

2x³+4x²-7x+5 , Option D is the correct answer.

To know more about Polynomial

brainly.com/question/11536910

#SPJ1

3 0

2 years ago

Two separate samples receive two different treatments. The first sample has n = 9 with SS = 710, and the second has n = 6 with S

aniked [119]

Answer:

The pooled variance for the two samples is 90

Step-by-step explanation:

Here in this question, we are interested in computing the pooled variance for the two given samples.

From the question;

n1 = 9

ss1 = 710

n2 = 6

ss2 = 460

The pooled variance can be calculated using a mathematical formula as shown below;

S^2 =( ss1 + ss2)/(n1 + n2 -2)

where S^2 refers to the pooled variance of both samples.

Plugging the values into the equation, we have ;

S^2 = (710 + 460)/9 + 6 -2 = 1170/13 = 90

3 0

4 years ago

Multiply and Simplify<br> (x-4)(x^2)

german

x^3 - 4x^2

Its the same for both...

Hope I helped you! ~Chaos

3 0

3 years ago

Read 2 more answers

Based on information from Harper’s Index, 37% of adult Americans believe in Extraterrestrials. Out of a random sample of 100 adu

san4es73 [151]

Answer:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀ = 37 % P₀ = 0,37

sample size = n = 100

P sample proportion = P = 47 % P = 0,47

confidence interval 95 %

α = 0,05

One tail-test (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀ null hypothesis P₀ = 0,37

Hₐ alternative hypothesis P₀ > 0,37

2.-Confidence interval 95 %

α = 0,05 and z(c) = 1.64

3.-Compute of z(s)

z(s) = [ P - P₀ ] /√(P₀Q₀/n) ]

z(s) = [ ( 0,47 - 0,37 ) / √0.37*0,63/100

z(s) = 0,1 /√0,2331/100 ⇒ z(s) = 0,1 /0,048

z(s) = 2.08

4.-Compare z(s) and z(c)

z(s) > z(c) 2.08 > 1.64

5.-Decision:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

5 0

4 years ago

Draw a number line and show the following numbers. one-digit primes