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4 years ago

Part 2 of the last question I asked

Mathematics

1 answer:

Sedaia [141]4 years ago

5 0

7. Answer: +4, x ≥ 16

Step-by-step explanation:

x - 4 ≥ 12

Add 4 to both sides (to isolate the variable):

x - 4 + 4 ≥ 12 + 4

x ≥ 16

Graph has a closed dot with an arrow pointing to the right of 16.

16 ·------------→

9. Answer: x ≤ 9

Step-by-step explanation:

x - 20 ≤ -11

Add 20 to both sides of the equation:

x -20 +20 ≤ -11 +20

x ≤ 9

Graph has a closed dot with an arrow pointing to the left of 9.

←----------· 9

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The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9

dezoksy [38]

Answer:

3.7 Miles

Step-by-step explanation:

Add all of the miles, then subtract it by 20.

3 0

4 years ago

After an extensive advertising campaign, the manager of a company expects the proportion of potential customers that recognize a

lina2011 [118]

Answer:

Step-by-step explanation:

Hello!

The study variable is:

X: number of customers that recognize a new product out of 120.

There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.

The sample proportion obtained is:

p'= 54/120= 0.45

Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p; $\sqrt{\frac{p(1-p)}{n} }$ )

The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5

The probability of getting the calculated sample proportion, or lower is:

P(X≤0.45)= P(Z≤ $\frac{0.45-0.6}{\sqrt{\frac{0.6*0.4}{120} } }$ )= P(Z≤-3.35)= 0.000

This type of problem is for the sample proportion.

I hope this helps!

5 0

3 years ago

Gordon rosel went to his bank to find out how long it will take for $900 to amount to $1,090 at 9% simple interest. calculate th

UNO [17]

Alright, so I=prt. I is 1090-900=190=interest. It starts at 900, so that is p. R is 0.09. 1090=900*0.09*t, so 1090/(900*0.09)=t=around 13 years

7 0

4 years ago

What is the square root of 144 and 169 between?

Tems11 [23]

The square root of 144=12 169=13 the difference is 13-12=1

8 0

3 years ago

Write an equivalent expression for each question

Mandarinka [93]

Answer:

A. 16 - 4 x = 4(4 - x)

B. 4 x + 8 = 4( x + 2)

C. -8 b - 24 = -8(b + 3)

D. 54 + 9 x = 9 (x + 6)

Step-by-step explanation:

Here, the given expressions are:

A. 16 - 4 x

Now, 16 and 4 have 4 as their COMMON FACTOR.

⇒Taking out 4 as the factor, we get: 16 - 4 x = 4 ( 4 - x)

Hence, the equivalent expression of 16 - 4 x = 4 ( 4 - x)

B. 4x + 8

Now, 4 and 8 have 4 as their COMMON FACTOR.

⇒Taking out 4 as the factor, we get: 4 x + 8 = 4 ( x + 2)

Hence, the equivalent expression of 4 x + 8 = 4 ( x + 2)

C. -8b - 24

Now, -8 and -24 have (-8) as their COMMON FACTOR.

⇒Taking out (-8) as the factor, we get: -8b - 24 = (-8) ( b+ 3)

Hence, the equivalent expression of -8b - 24 = (-8) ( b+ 3)

D. 54 + 9x

Now, 54 and 9 have (9) as their COMMON FACTOR.

⇒Taking out (9) as the factor, we get: 54 + 9 x = 9( 6 + x)

Hence, the equivalent expression of 54 + 9 x = 9( 6 + x)

4 0

3 years ago

Part 2 of the last question I asked​

Part 2 of the last question I asked