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3 years ago

Evaluate 8.3v + 7.5w when v = 3 and w = 4

Mathematics

2 answers:

ale4655 [162]3 years ago

6 0

Answer:

54.9

Step-by-step explanation:

8.3 * 3 = 24.9

7.5 * 4 = 30

24.9 + 30 = 54.9

Dimas [21]3 years ago

3 0

The answer would be 54.9

8.3(3) + 7.5(4)

24.9 + 30 = 54.9

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.01 \cdot 0.305=0.61$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95$

The 95% confidence interval for the mean is (5.73, 6.95).

4 0

4 years ago

Ada, Betty, Chris, and David have $45 in total. If Ada gets $2 from Betty, Chris triples his money, and David's money is cut by

masya89 [10]

The amount of money Ada have initially is $9.25 and this can be determined by forming the linear equation.

Given :

Ada, Betty, Chris, and David have $45 in total.
If Ada gets $2 from Betty, Chris triples his money, and David's money is cut by half, four of them have the same amount.

The following steps can be used in order to determine the money Ada have initially:

Step 1 - Let the total money of Ada be 'a', Betty be 'b', Chris be 'c', and David be 'd'.

Step 2 - The linear equation that represents the total money they have is given by:

a + b + c + d + = 45 -- (1)

Step 3 - Now, after Ada gets $2 from Betty, Chris triples his money, and David's money is cut by half, four of them have the same amount of money.

Step 4 - Let the amount of money they all have be 'x' then:

4x = 45 ---- (from equation (1))

x = $11.25

Step 5 - The initial amount of money Ada have is:

x = a + 2

11.25 = a + 2

11.25 - 2 = a

a = $9.25

So, Ada have $9.25 initially.

For more information, refer to the link given below:

brainly.com/question/2263981

4 0

3 years ago

Read 2 more answers

Which equation is related to this equation

Olegator [25]

The answer is C. c=47+21.

3 0

3 years ago

Read 2 more answers

What is 6 to the power of 2 divided by 2 times 3 plus 4

lidiya [134]

$6^{2}$ ÷ $2*3+4$

You use the order of operations with PEMDAS

P⇒Parentheses

E⇒Exponents

M⇒Multiplication

D⇒Division

A⇒Addition

S⇒Subtraction

$6^{2}$ ⇒ $6*6=36$

$36*3=108$

$108$ ÷ $2=54$

$54+4=58$

Answer: 58

8 0

4 years ago

Read 2 more answers

PLEASE HELP!!!

Kaylis [27]

ANSWER

A reflection over the y-axis followed by a dilation by a factor greater than 1

EXPLANATION

We can see from the diagram that, square M and square P are all equal distance from the line y-axis.

This means that square M has been reflected in the y-axis.

Since square P is greater than square M, there has been a multiplication by a scale factor greater than 1.

The correct choice is B.

8 0

3 years ago