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3 years ago

You have budgeted $35 a day per person. Your group has 3 people total for a week. What is the cost?

Mathematics

2 answers:

DENIUS [597]3 years ago

5 0

Answer: The total cost is $735.

Step-by-step explanation: Given that we have budgeted $35 a day per person and our group has 3 people total for a week.

We are to find the total cost.

We know that

there are 7 days in a week, so the cost of one person in a week will be

$C_w=\$(35\times7)=\$245.$

Since there are 3 persons in our group, so the total cost is given by

$C=C_w\times3=\$(245\times3)=\$735.$

Thus, the total cost is $735.

Serhud [2]3 years ago

3 0

total would be 735 dollars mark me as brainliest please.

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Use linear approximation to approximate √25.3 as follows.

Sophie [7]

The idea is to use the tangent line to $f(x)=\sqrt x$ at $x=25$ in order to approximate $f(25.3)=\sqrt{25.3}$ .

We have

$f(x)=\sqrt x\implies f(25)=\sqrt{25}=5$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}$

so the linear approximation to $f(x)$ is

$L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92$

Hence $m=\frac1{10}$ and $b=\frac92$ .

Then

$f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}$

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3 years ago

A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th

OlgaM077 [116]

Answer:

Interval [16.34 , 21.43]

Step-by-step explanation:

First step. Calculate the mean

$\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666$

Second step. Calculate the standard deviation

$\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}$

$\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}$

$\sigma=\sqrt{17.815}=4.22$

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

$\bar X \pm t\frac{\sigma}{\sqrt n}$

where n is the number of observations.

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3 years ago

Which expression is equivalent to2/3-1/4x+1/2x-1/6?

ivann1987 [24]

2/3 - 1/4 ... let's find the common numbers 12 so new numbers would be 8/12 and 3/12 aka 11/12 + .. anyways it's 11/12 plus 2/3 x

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2 years ago

Find three consecutive integers whose sum is equal to −354. Three consecutive integers in ascending form are __,__,__

mixer [17]

Answer: -119, -120, and -121

Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.

X + X + 1 + X + 2 = -354

Now, we can simplify on the left side of the equation.

3x + 3 = -354

-3 -3 ← subtract 3 on both sides of the equation

3x = -357

÷3 ÷3 ← divide both sides by 3

X = -119

X ⇒ first integer = -119

X + 1 ⇒ second integer = -120

X + 2 ⇒ third integer = -121

Therefore, our three consecutive integers are -119, -120, and -121.

6 0

3 years ago

Read 2 more answers

Item 19 A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 112 feet from a bu

liberstina [14]

The building is about 70.95 feet tall.

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However, don't forget to add on 3 because that is the height of the laser range.

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3 years ago