Which expression is equivalent to |b|>7 ? b 7 b 7 b > –7 and b –7 or b < 7

9514 1404 393

Answer:

  d.  45

Step-by-step explanation:

You can check the offered answers. You will find that the difference from reversing the digits will only be 9 if the digits differ by 9/9 = 1.

The original number is 45.

__

Check

  45 + 9 = 54 . . . with the digits reversed

Answer:

7 granola bars

Step-by-step explanation:

560 calories in 4 bars

560/4 = 140 per bar

980/140 = 7 bars

Answer:

30% of the people surveyed in the mall go to movies at least once in a month

Step-by-step explanation:

A descriptive statistic would refer to a summary where it explain in quantitative way from the information collected also it it is used to analyze it. The parameter and descriptive statistics would be the percentage for the surveyed people that goes to the mall for watching out the movies at least for one time in a month

Here 30% come from

= 36 ÷ 120

= 30%

Answer:

0.8, 0.875, 0.89 or 4/5, 7/8, 0.89

Step-by-step explanation:7/8 is the same as 7 divided by 8 which equals to 0.875.

4/5 is the same as 4 divided by 5 which is 0.8.

Shortest to Longest

0.875

0.89

0.8

reformed into

1. 0.8

2. 0.875

3. 0.89

Answer:

74%->91.22

100%-> 123.27(estimated)

The total amount of the utility bill will be $123.2.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.

The total amount will be calculated as below:-

74% ⇒ $91.22

1% ⇒ 91.22 / 74

100% ⇒ ( 91.22 x 100 ) / 74

100% ⇒ $123.27

Therefore, the total amount of the utility bill will be $123.2.

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Answer:

d. 28

Step-by-step explanation:

7x = 3x + 16

subtract 3x from both sides: 4x = 16

divide both sides by 4: x = 4

plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28

Step-by-step explanation:

To find circumfrence you use the equation:

[tex]C=2\pi r[/tex]

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

[tex]C=2\pi 7[/tex]

C= 43.98 or 44 rounded

Answer:

To find circumfrence you use the equation:

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

C= 43.98 or 44 rounded

Step-by-step explanation:

Answer:

t₃ = 3

Step-by-step explanation:

To find the third term substitute n = 3 into the formula, that is

t₃ = 3² - 2(3) = 9 - 6 = 3

Answer:

tn=n^2-2n

n =3

t3 = 3^2 -2(3)

t3 = 9-6

t3 = 3

Answer:

Step-by-step explanation:

x=45816 , 1.89552335

Answer:

Answer:

x=0.333333,−0.333333

Step-by-step explanation:

(813)(x) /3^4

x=729

Simplifies to:

6561x2=729

Let's solve your equation step-by-step.

6561x2=729

Step 1: Divide both sides by 6561.

6561x^2 /6561 =  729 /6561

x2= 1 /9

Step 2: Take square root.

x=±√ 1 /9

x=0.333333,−0.333333

Answer:

The area would reduce to 1/4 the original area

Step-by-step explanation:

The area of a triangle = (1/2)(base)(height) or bh/2

If the triangle base and height were to reduce by one-half, the formula would change to:

Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4

Answer: 7

Step-by-step explanation:

Distribute

3c - 6 = 15

Add 6 to both sides

3c = 21

Divide 3 to both sides

c = 7

Answer:

The drug have effect on lowering the cholesterol.

Step-by-step explanation:

H₀ : μ₁ - μ₂ = 0

⇒ H₀ : μ₁ =  μ₂

H₁ : μ₁ - μ₂ < 0

⇒H₁ : μ₁ <  μ₂

Now,

given , n₁ = 23 , n₂ = 23

∴ Degree of freedom = v = n₁ + n₂ - 2

                                         = 23 + 23 - 2 = 44

⇒v = 44

Now,

Given, level of significance = 5% = 0.05

For the given significance level, critical time t = 1.68

As

Decision rule states that'if t < 1.68 , reject H₀

Now,

For Drug:

mean = m₁ = 195

SD = d₁ = 35

People = n₁ = 23

For placebo :

mean = m₂ = 245

SD = d₂ = 31

People = n₂ = 23

Now,

Variance = [tex]\frac{(23-1)35^{2} + (23-1)31^{2} }{23 + 23 - 2}[/tex]  = 1093

Standard Deviation, S = 33.06

Point estimate = m₁ - m₂ = 195 - 245 = -50

Standard deviation error = S×([tex]\frac{1}{n_{1} } + \frac{1}{n_{2} }[/tex] ) = 9.75

Now,

Test statistics = [tex]-\frac{50}{\sqrt{9.75} } = -5.13[/tex]

⇒ t < 6.13

⇒Reject H₀

⇒The drug have effect on lowering the cholesterol.

9514 1404 393

Answer:

  (b)  540 boxes

Step-by-step explanation:

The 28 foot depth of the trailer will accommodate 18 boxes (leaving 1 ft unfilled).

The 8 1/2 foot width of the trailer will accommodate 5 boxes (leaving 1 ft unfilled).

The 9 1/6 foot height of the trailer will accommodate 6 boxes (leaving 1/6 ft unfilled).

The collection of boxes filling the trailer is 18 deep, 5 wide, and 6 high, for a total of ...

  18 × 5 × 6 = 540 boxes

_____

In each case, the number of boxes that will fit is the dimension divided by the dimension of the box. The result is the integer part of the quotient. For example, ...

  (28 ft)/(3/2 ft/box) = 56/3 box = 18 2/3 box . . . 18 boxes will fit

Answer:

3/8 % = 37.5 %

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Answer:

10 pieces

Step-by-step explanation:

7 1/2 / 3/4 =

7.5 / .75 =

10 pieces

Hope that helps!

Answer:

b) μ = 2 and σ = 1.29

Step-by-step explanation:

Step(i):-

Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6

Given that the probability of labelled '1'

                      [tex]p = \frac{1}{6}[/tex] =0.16

                     q = 1-p =  1- 0.16 = 0.84

Let 'X' be a random variable in binomial distribution

The mean of the binomial distribution

      μ = n p

     μ  =  [tex]12 (\frac{1}{6} ) = 2[/tex]  

The mean of the binomial distribution  = 2

Step(ii):-

The standard deviation of X

                σ [tex]= \sqrt{npq}[/tex]

               σ = [tex]\sqrt{12(0.16)(0.84}[/tex]

                  σ = [tex]1.269[/tex]

The standard deviation of the binomial distribution

                σ = [tex]1.269[/tex]

Answer:

b

Step-by-step explanation:

Answer:

part A:

1/12 on day 1

1/4 or 3/12 on day 2

5/12 on day 3

Missy read 2/12 or 1/6 every day

Part B:

if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day

2/12 * 4 = 8/12

so 1/12 + 8/12 = 9/12 or 3/4 by Friday

Answer:

Monday: 1/12

Tuesday: 3/12

Wednesday: 5/12

Step-by-step explanation:

Answer:

The correct answer is (-1,-3)

Step-by-step explanation:

its right i think lol

Answer:

0.281 ; 0.864

Step-by-step explanation:

1.)

p decreases as n increases (n increases, p--> 0)

λ ≥ 0

P(x = x) = (e^-λ * λ^x) ÷ x!

λ for Ford = 1.27

B) zero problems :

P(x = 0) :

(e^-1.27 * 1.27^0) ÷ 0! = 0.281

P(x = 0) = 0.281

Two or fewer problems :

P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)

P(x ≤ 2) = 0.281 + 0.357 + 0.226

P(x ≤ 2) = 0.864

D.) It allows for early detection and thus adequate curtailment of the problem at an a stage in which it seems easier to curb.

Answer:

C. 2428

Step-by-step explanation:

c=152t-44d

Its given that,

t=18, d=7

substituting

c=152(18)-44(7)=2428

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Answer:The median number of hours is between 5 and 9

Step-by-step explanation:

The median number of hours students in the class read last week is between 5 and 9

The steps are as follow:

0-4;20

5-9;24  32th median

10-14;10

15-19;4

20-24;2

25-29;3    ∑ = 63 i.e. odd

M = 1/2 (63+1) = 32th observation

So the median number of hours students in the class read last week is between 5 and 9

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Answer:

Step-by-step explanation:

Given expression:

Simplify:

Correct choice is D

Answer:

D. 126y²

Step-by-step explanation:

Answer:

289 meters I believe.

Step-by-step explanation:

Answer:

-x-8

Step-by-step explanation:

hope this helps

Answer:

if it is -8 subtracted from -x then

-x-(-8)

if it is 8 subtracted from x then

x-8