4. A boat traveled 32 miles in 2 hours. At this rate, how many miles will the boat travel in hour?
04
A. 8 mi
B. 16 mi
C. 3 mi
D. 4 mi

Hi, I'm happy to help!

To solve this problem, we can turn -0.35 into an equivalent fraction.

\(\frac{8}{15}\)÷\(\frac{-0.35}{1}\)

For division, I like to use the strategy called KFC. This stand for Keep, flip, and change. You keep the first fraction, flip the second, and change the operation.

\(\frac{8}{15}\)×\(\frac{1}{-0.35}\)

Now we multiply the top by the top and the bottom by the bottom.

\(\frac{8}{-5.25}\)

We know that the negative applies to the entire fraction, so we write it like this:

-\(\frac{8}{5.25}\)

I hope this was helpful, keep learning! :D

Answer:

x-intercept is (-9,0)

y-intercpt is (0,27)

Step-by-step explanation:

you have to subsitute x and y from zero then you go from there

Answer:

Y-intercept (0,27)

X- intercept (-9,0)

Step-by-step explanation:

To find X - intercept, substitute in 0 for y and solve for X. To find Y-intercept, substitute in 0 for x and solve for y.

Y= 3x plus 27                                            

Y = 3(0) plus 27

Y = 0 plus 27

Y = 27                 The Y-intercept (0,27)

Y = 3x plus 27

0 = 3x plus 27

0 - 27 = 3x

-27 = 3x

divide by boyh side to 3 and X will be -9

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted.

What is an Average?

In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.

It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.

When we analyze the  given question, we find that,

The total number of students were 49,

The true average was found to be 59k,

and the Sample average is found to be 44k.

Thus, in  the present question we will use the One- sample T-test.

We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.

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Hi! it's the third statement

hope i helped

Answer:

Question 1: Correct

Question 2: Incorrect

Question 3: Correct

Question 4: Correct

Question 7: Correct

Step-by-step explanation:

Question 1: Correct. y = 9 represents a horizontal line, with a zero slope.

Question 2: Incorrect. The given states that the slope is 3. Hence, you're left with two options: either C or D. Substituting (-3, -2) into the given equations:

Option C: y = 3x - 2

-2 = 3(-3) -2

-2 = -9 - 2

-2 = -11 (false statement).  This means that (-3, -2) is not a solution to this equation.

Option D: y = 3x + 7

-2 = 3(-3) + 7

- 2 = -9 + 7

-2 = -2 (True statement). Therefore, Option D is the correct answer for Question 2.

Question 3: Correct. The equation x = 3 represents a vertical line.

Question 4: Correct. The rate of increase is 5,000/2 = 2,500.

Question 7: Correct. The domain is the set of inputs (or x-values) of a given relation. The domain of the given relation is {-2, 0, 3, 4}.

The expression that shows how many sweatshirts were not adult sizes is  s - 19 .

Given :

the lacrosse team sold s team booster sweatshirts, and 19 of them were adult sizes.

Expression :

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Expression = number of sold sweatshirts - number of adult sizes.

= s - 19.

This gives the number of sweatshirts that are not adult sizes

if s = 25

then not adult sizes sweatshirts = s - 19

= 25 - 19

= 6

Hence the expression is s - 19.

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Answer:

thats what  i got

Step-by-step explanation:

The probability of not throwing a six is 0.6.

Matilda should expect to throw 28 sixes out of 70 times.

a. The probability of not throwing a six is the complement of the probability of throwing a six.

Since the probability of throwing a six is 0.4.

So, the probability of not throwing a six is 1 - 0.4 = 0.6.

b. To estimate the number of sixes Matilda should expect to throw out of 70 times, we can multiply the number of trials by the probability of throwing a six.

Number of expected sixes = Number of trials × Probability of throwing a six

Number of expected sixes = 70 × 0.4

Number of expected sixes = 28

Therefore, Matilda should expect to throw 28 sixes out of 70 times.

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Answer: 32/9, or 3 5/9

Step-by-step explanation:

1. convert the mixed number to an improper fraction. It would turn into 16/9 x 2

2. Calculate the product : 32/9

3. Use division to get a mixed number: 3 5/9.

Answer:

Step-by-step explanation:

The ratio of flour to honey is always 10/8 because she uses a constant ratio.

1. The missing values in the table would be the value of honey (1, 16, 30, h) times 10/8.

2. The equation would be f = (10*h)/8

3. Plug 15 and 17 into the equation above.

The question lacks the necessary information to determine the value of the constant and evaluate the probability.

The question provided is incomplete and lacks the necessary information to determine the value of the constant, k, and evaluate the probability. Without the specific details of the function or distribution, it is not possible to calculate the value of k or determine the probability.

To evaluate the probability that x is between 0.3 and 0.6 (denoted as P(0.3 < x < 0.6)), we need to know the probability distribution or have additional information about the function f(x) and the constant k. This could involve specifying a particular distribution (e.g., normal, uniform) or providing the function f(x) explicitly.

With this information, we could then calculate the probability using appropriate mathematical techniques or statistical methods. Without these details, it is not feasible to determine the value of k or evaluate the probability.

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Answer:

A

Step-by-step explanation:

The Remainder theorem states that a polynomial f(x) divided by (x + h ) has remainder given by

f(- h)

Thus if P(x) is divided by (x - a) then the remainder is P(a) → True

Answer

-3(x+2)(x+6)=0

Step-by-step explanation:

\(-3x^{2} -24x-36=0\\\Leftrightarrow -3(x^{2}+8x+12)=0\\\Rightarrow -3(x+2)(x+6)=0\)

Answer:

The second method is correct because in the first method she eliminates a solution by dividing through by x and assuming she graphed correctly, the solutions she gave are correct.

Step-by-step explanation:

Answer:

Yes she's correct

Step-by-step explanation:

Let's check

Cancel one x

Another root is 0

So as a quadratic equation it's correct

In order for children to be safely restrained in proper seat restraints, the factors that must be considered are the child's physical age, height, and weight.

When it comes to ensuring the safety of children in seat restraints, it is crucial to consider their physical age, height, and weight. These factors play a significant role in determining the appropriate type of restraint system that should be used for a child. Different types of restraints, such as rear-facing car seats, forward-facing car seats, booster seats, and seat belts, are designed to accommodate specific age, height, and weight ranges.

Physical age is an important consideration because it indicates the child's stage of development and the level of support they require for proper restraint. Height is crucial to determine if the child can sit comfortably in the restraint system and if the seat's harness or seat belt fits properly. Weight is a key factor as it affects the functioning and effectiveness of the restraint system, ensuring it can withstand and properly secure the child's body in case of an accident.

The child's mental age, physical agility, or language ability, mentioned in options 2, 3, and 4, do not directly impact the selection and use of proper seat restraints. While these factors may have relevance in other contexts, such as education or cognitive development, they do not directly influence the safety considerations related to seat restraints. The primary focus remains on the child's physical age, height, and weight, as these factors provide the necessary information to determine the most appropriate and safe restraint system for the child.

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After performing the linear regression evaluation, the equation of the regression line is:

(i) y = 1.40x + 1.45

To locate the linear regression line for the given records, we will use a statistical software program or a calculator. By analyzing the data points, we can decide the equation of the road that satisfactorily represents the connection between the hours of the stand being open (x) and the profit (y).

After performing the linear regression evaluation, the equation of the regression line is:

y = 1.40x + 1.45

This equation shows that for each extra hour the stand is open, the profit increases by using $1.40. The y-intercept, represented with the aid of the regular term 1.45, shows that although the stand isn't always open, there may be nevertheless a base income of $1.45.

The linear regression line for the given statistics indicates a positive relationship between the hours of the stand being open and the earnings earned. As the hour's increase, the earnings have a tendency to increase as nicely.

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The correct question is:

The linear regression line for the given data is y = 1.28x + 2.93. This equation represents the relationship between the hours the stand is open (x) and the corresponding profit (y).

To find the linear regression line for the given data, we can use statistical software or a calculator. The linear regression line represents the best fit line through the data points.

First, we list the given x and y values:

x: 1, 2, 3, 4, 5, 6, 7

y: 3.58, 5.18, 6.24, 7.97, 7.09, 8.31, 11.33

Using the software, we calculate the linear regression line. The result is y = 1.28x + 2.93, rounded to two decimal places.

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QUESTION

gabriel and raj were running a lemonade stand at the local park. they decided to pay their sister to operate the stand. the following values represent the profit y after x hours of the stand being open. using a calculator or statistical software, find the linear regression line for the data. enter your answer in the form y =mx+b, with m and b both rounded to two decimal places.

X    Y

1   3.58

2   5.18

3   6.24

4    7.97

5   7.09

6    8.31

7    11.33

The surface area of the cone is 450π in². Therefore, the answer is option B.

The surface area of a cone can be represented as follows:

surface area of a cone = πr(r + l)

where

Therefore,

r = 9 inches

l = 41 inches

Hence,

surface area of a cone = π × 9(9 + 41)

surface area of a cone = 9π(50)

Therefore,

surface area of a cone = 450π inches²

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To find the equation that Stacey can use to determine the number of customers she needs to make exactly $25, we need to break down the information given. Stacey earns $15 each week, which is a fixed amount. Additionally, she earns $0.50 for each customer on her paper route, so the amount she earns from the number of customers can vary.

To represent this situation algebraically, we can use the equation:

$15 + $0.50x = $25

In this equation, "$15" represents the fixed amount Stacey earns each week, "$0.50" represents the additional amount she earns per customer, and "x" represents the number of customers she needs to make exactly $25.

Simplifying the equation, we have:

$0.50x = $25 - $15
$0.50x = $10

To isolate x, we divide both sides of the equation by $0.50:

x = $10 ÷ $0.50
x = 20

Therefore, Stacey needs 20 customers to make exactly $25 each week.

In conclusion, the equation Stacey can use to find x, the number of customers she needs to make exactly $25, is $15 + $0.50x = $25. By solving this equation, we find that she needs 20 customers.

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Answer: 150x18 means the length is 150 and the width is 18

to find area multiply them by each other

Step-by-step explanation:

The linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth is: y=13.35x+59.81 and the projected profit is $179.96.

First step is to find the mean for x and y

x=0+1+2+3/4

x=1.25

y=69+75+75+87/4

y=306/4

y=76.5

Second step is to find the sum

b=(0×69+1×75+2×75+3×87)-(4×1.25×76.5)÷0²+1²+2²+3²-4×1.25²

b=13.35

Third step is to find the intercept a.

a=76.5-13.35×1.25

a=59.81

linear regression equation:

y=13.35x+59.81

Fourth step is to find the projected profit

x=2015-2006

x=9

Hence:

y=13.35x+59.81

y=13.35×9+59.81

y=$179.96

Therefore the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth is: y=13.35x+59.81 and the projected profit is $179.96.

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Answer:

B, E, G

Step-by-step explanation:

Answer:

unitary best completes the table

Answer:

a = 6

Step-by-step explanation:

use distribution method:

-3(4-a) = 6

-12+3a = 6

3a = 6+12

3a = 18

a = 18/3 = 6

_____________________________

Hey!!

Solution,

-3(4-a)=6

or, -12+3a=6

or, 3a=6+12

or, 3a=18

or,a=18/3

a=6

hope it helps..

Good luck on your assignment

___________________________

Answer:

3p +2c greater than 120. 120∠ 2c + 3p

Step-by-step explanation:

I think this is your answer but, i'm not so sure.

If the equation is 19-5=3z-11 then the value of z is 15/3.

Given an equation in terms of z is 19-5=3z-11.

We are required to find the value of variable z which exist in equation.

Equation is like a  relationship between two or more variables expressed in equal to form. Equations of two or more variables look like ax+by=c. It may be linear equation, quadratic equation,cubic equation,or many more depending on power of the variable.

The value of z can be find as under:

19-5=3z-11

4=3z-11

3z=4+11

3z=15

z=15/3

Hence if the equation is 19-5=3z-11 then the value of variable z is 15/3.

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Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

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