Use the GCF and the distributive property to find the expression that is equivalent to 18+27.

Using your answer from part (b) and inequality symbols, write one statement that shows the relationship among all of the numbers

Natali5045456 [20]

Answer:

(b) Least to greatest numbers are -1.0, $-\frac{1}{4}$ , 0, 0.5, 1.5

(c) -1.0 < $-\frac{1}{4}$ < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 > $-\frac{1}{4}$ > -1.0

Step-by-step explanation:

P.S - The exact question is -

Given - Kendra collected data for her science project. She surveyed

people asking them how many hours they sleep during a

typical night.

The chart below shows how each person’s response compares

to 8 hours (which is the answer she expected most people to say).

Name Number of Hours Compared to Hours

(usually slept each night)

Frankie 8.5 0.5

Mr. Fields 7 −1.0

Karla 9.5 1.5

Louis 8 0

Tiffany $7\frac{3}{4}$ $-\frac{1}{4}$

To find - (a) Plot and label each of the numbers in the right-most column

of the table above on the number line below.

(b) List the numbers from least to greatest.

(c) Using your answer from part (b) and inequality symbols,

write one statement that shows the relationship among all

of the numbers.

Proof -

(a)

We can see that the numbers in the right-most column are 0.5, -1.0, 1.5, 0, $-\frac{1}{4}$

We can write $-\frac{1}{4}$ = -0.25

Now,

We have to label them in the number line

The number line is as follows :

(b)

Least to greatest numbers are -1.0, $-\frac{1}{4}$ , 0, 0.5, 1.5

(c)

By using inequality symbol, we get

-1.0 < $-\frac{1}{4}$ < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 > $-\frac{1}{4}$ > -1.0

5 0

2 years ago

A ballplayer catches a ball 3.4s after throwing it vertically upward. with what speed did he throw it, and what height did it re

Daniel [21]

From the equation of motion, we know,

$s=ut+\frac{1}{2}at^{2}$

Where s= displacement

u= initial velocity

a= gravitational force

t= time

Displacement is 0 since the ball comes back to the same point from where it was thrown.

A = $-9.8m/s^{2}$ since the ball is thrown upwards.

Plug the known values into the equation.

=> $0=u\left ( 3.4 \right )+\frac{1}{2}\left ( -9.81 \right )(3.4^{2})$

Solving for u gives :

u= 16.67 m/ sec ....... equation (1)

At maximum height, final velocity i.e v is 0

Time take to reach the top = $\frac{3.4}{2} = 1.7 sec$

$v^{2}=u^{2}+2as$

=> $0=(16.67)^{2}+2(-9.81)(s)$

Solving for s we get

s= 14.16 m

4 0

2 years ago

The first 5 terms of a sequence are shown below:

nirvana33 [79]

Step-by-step explanation:

To find the formula for the nth term ,

First , find the common difference or common ratio.

Common difference =

$T_2-T_1 \\ - 2 - 3 \\ = - 5$

Common ratio =

$T_2/T_1 \\ \frac{ - 2}{3}$

The common difference applies to the other given numbers for example :

$T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5$

this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is

T_n =a(n-1)d

Where n = no of terms

a= first term

d= common difference

6 0

2 years ago

ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately no

dimaraw [331]

Answer: 5.37

Step-by-step explanation:

Let x = ACT scores.

Given: ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately normal.

i.e. P(X>28)=0.09 (i)

Now,

$P(X>28)=P(\dfrac{X-\mu}{\sigma}>\dfrac{28-20.8}{\sigma})\\\\= P(z>\dfrac{7.2}{\sigma})\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]$ (ii)

One -tailed z value for p-value of 0.09 =1.3408 [By z-table]

From (i) and (ii)

$\dfrac{7.2}{\sigma}=1.3408\\\\\Rightarrow\ \sigma=\dfrac{7.2}{1.3408}\\\\\Rightarrow\ \sigma=5.37$

Hence, the standard deviation = 5.37

5 0

2 years ago

Please answer this question :)

tia_tia [17]

Answer: 2.663043987
explanation: use calculator

7 0

2 years ago