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4 years ago

Which inequality is true if p= 3.4?

Mathematics

1 answer:

BigorU [14]4 years ago

7 0

Answer:

None of the equations are true for p = 3.4

Step-by-step explanation:

In order for the inequality to be valid we need to apply the value for p and check wether or not it is true. We gonna do for each of the following:

A. 3p < 10.2

3*3.4 < 10.2

10.2 < 10.2

Not true, since the left side is equal to the right side and not less.

B. 13.6 < 3.9p

13.6 < 3.9*3.4

13.6 < 13.26

Not true since 13.6 is greater than 13.26

C. 5p > 17.1

5*3.4 > 17.1

17 > 17.1

Not true since 17 is less than 17.1

D. 8.5 > 2.5p

8.5 > 2.5*3.4

8.5 > 8.5

Not true since the left side is equal to the right side.

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Match the real-world problem to its constant of proportionality.

FrozenT [24]

Real word problem ⇒ constant of proportionality

$4.16 for 4 pounds of bananas ⇒ 1.04

$16.48 for 8 pounds of potatoes ⇒ 2.06

$18.36 for 2 pizzas ⇒ 9.18

2 cups of flour to make 36 cookies ⇒ 18

Solution:

A proportional relationship is one in which two quantities vary directly with each other.

We say the variable y varies directly as x,

if for x ∝ y

then, x = y k

Where "k" is called constant of proportionality

$k = \frac{x}{y}$

$4.16 for 4 pounds of bananas

x = 4.16 and y = 4

$k = \frac{4.16}{4} = 1.04$

Thus constant of proportionality is 1.04

$16.48 for 8 pounds of potatoes

x = 16.48 and y = 8

$k = \frac{16.48}{8} = 2.06$

Thus constant of proportionality is 2.06

$18.36 for 2 pizzas

x = 18.36 and y = 2

$k = \frac{18.36}{2} = 9.18$

Thus constant of proportionality is 9.18

2 cups of flour to make 36 cookies

x = 36 and y = 2

$k = \frac{36}{2} = 18$

Thus constant of proportionality is 18

8 0

3 years ago

Oil has a volume of 9000cm cubed and a density of 0.8g/ cm cubed. what is the mass of the oil?

OlgaM077 [116]

Density = 0.8 g/cm³

Volume = 9000 cm³

D = m / V

0.8 = m / 9000

m = 0.8 x 9000

m = 7200 g

hope this helps!

5 0

3 years ago

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy

kari74 [83]

Answer:

Notebook is $4

Thumb drive is $23

Step-by-step explanation:

Let notebooks be x and thumb drives be y

6x+7y=$185

14x+12y=$332

These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain

42x+49y=$1295

42x+36y=$996

Subtracting the third equation from the fourth

996-1295=-$299

(36-49)y=-23y

-23y=-$299

y=$299/13=$23

To get the value of x, we substitute the value of y into the first equation

6x+(7*23)=$185

6x=$185-$161

6x=$24

x=$4

Therefore, price of notebook is $4, price of thumb drive is $23

4 0

3 years ago

g You are planning an opinion study and are considering taking an SRS of either 200 or 600 people. Explain how the sampling dist

Katen [24]

Answer:

By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .