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3 years ago

Evaluate 3z- 3 when z=7 a 34 b 21 c 18

Mathematics

2 answers:

Brums [2.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

Since z = 7 the equation would be 3(7) - 3

You would multiply 3 with 7 and get 21

Then you would subtract 3 from 21 and get 18

hope this helps.

OLga [1]3 years ago

6 0

Answer: C (18)

Step-by-step explanation: If we plug in 7 for z, 3 times 7 is 21. 21-3=18.

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I need to increase my sales by 35% this month I’m currently at 45 sales how many sales do I need to meet my goal ?

telo118 [61]

Assume that 100% = 45 sales and 35% = X sales amount

You can create a ratio to help you solve for x

45 = 100%
x = 35 %

Which is equal to this fraction: (45/x) = (100/35)

Solving for X by cross multiplying and dividing by 100:
[(45)(35)] / 100 = X = 15.75 = 16 sales (rounded up)

You would need at least 16 sales to increase sales total by 35%

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3 years ago

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The floor plan of a ballroom is shown at the right. The scale is 3 centimeters: 4 meters. what are the length and width of the b

astraxan [27]

Length = 16
Width = 12
Area = 192

3 0

3 years ago

Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of

Marianna [84]

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is $C=25(1.025)^x$

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

$\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28$

It will take 28 years

5 0

3 years ago

Gallup conducted a survey from April 1 to 25, 2010, to determine the congressional vote preference of the American voters.15 The

Lisa [10]

Answer:

p ( x > 2746 ) = p ( z > - 1.4552 )

= 1 - 0.072806

= 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

Step-by-step explanation:

Given data:

51% of male voters preferred a Republican candidate

sample size = 5490

To win the vote one needs ≈ 2746 votes

In order to advice Gallup appropriately lets consider this as a binomial distribution

n = 5490

p = 0.51

q = 1 - 0.51 = 0.49

Hence $n_{p}$ > 5 while $n_{q}$ < 5

we will consider it as a normal distribution

From the question :

number of male voters who prefer republican candidate ( mean ) ( u )

= 0.51 * 5490 = 2799.9

std = $\sqrt{npq}$ = $\sqrt{5490 * 0.51 *0.49}$ = 37.0399 ---- ( 1 )

determine the Z-score = (x - u ) / std ---- ( 2 )

x = 2746 , u = 2799.9 , std = 37.0399

hence Z - score = - 1.4552

hence

p ( x > 2746 ) = p ( z > - 1.4552 )

= 1 - 0.072806

= 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

7 0

2 years ago

Find the sum of the first four terms of the geometric sequence shown below. 4, 4/ 3, 4/9, ...

user100 [1]

It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

$S_4=4+\dfrac43+\dfrac49+\dfrac4{27}$

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.

Multiply the sum by 1/3 and you have

$\dfrac13S_4=\dfrac43+\dfrac49+\dfrac4{27}+\dfrac4{81}$

Now subtracting this from $S_4$ gives

$S_4-\dfrac13S_4=4-\dfrac4{81}$

That is, all the matching terms will cancel. Now solving for $S_4$ , you
have

$\dfrac23S_4=4\left(1-\dfrac1{81}\right)$
$S_4=6\left(1-\dfrac1{81}\right)$
$S_4=\dfrac{480}{81}=\dfrac{160}{27}$

3 0

3 years ago