Joe wanted to travel at least 5,000 miles on his vacation. The
distance from New York to London is 3,358 miles. The distance
from London to Madrid is 1065.28 miles. If Joe travelled from
New York to Madrid, with a stop in London in between, how many
miles did he travel? Did he reach his goal? How close to his goal is
he?

Answer:

Total weight of the three fishes is 7.8125 lb

Step-by-step explanation:

To solve this type of problem we must be aware about lb to ounce conversion. we know that

1 lb = 16 ounce(oz)

So, 2lb 10oz= (2×16+10)oz = 42 oz

Similarly for, 2lb 8oz = (2×16+8)oz = 40oz

and for, 2lb and 11oz = (2×16+11)oz = 43oz

now adding all 3, we can say total weight = (42+40+43)oz = 125oz

To convert oz to lb again we will divide it with 16 so we get

Total weight in lb= \(\frac{125}{16}\) = 7.8125 lb

Therefore total weight of three fishes in ounce is 125oz or 7.8125lbs

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The missing values are b = 4.37, C = 11° and A = 134°

Given is a triangle, we need to find the missing lengths and angles,

So,

Using the cosine rule,

b² = a²+c² - 2ac Cosb

b = √4²+7²-2(4)(7)cos35°

b = √16+49-45.87

b = √19.13

b = 4.37

Now, using the sine rule,

Sin C / 7 = Sin 35° / 4.37

C = 11°

Applying the angle sum property of triangles,

A = 180°-(11°+35°)

A = 134°

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The appropriate hypotheses for the researcher are: Null hypothesis: p <= 0.5 and Alternative hypothesis: p > 0.5.

In statistics, a hypothesis is an assumption or proposition about a population parameter, based on sample data. A hypothesis is a statement that is tested to determine whether it is true or false. It is an important component of statistical inference, which involves drawing conclusions about a population based on a sample of data. There are two types of hypotheses in statistics: the null hypothesis and the alternative hypothesis. The null hypothesis is the hypothesis that is tested against the alternative hypothesis. It is usually a statement of "no effect" or "no difference" between two groups or conditions. The alternative hypothesis is the hypothesis that is accepted if the null hypothesis is rejected. It is usually a statement of an effect or difference between two groups or conditions.

Here,

The null hypothesis states that the proportion of households in the city that gave a charitable donation in the past year is less than or equal to 50 percent. The alternative hypothesis states that the proportion of households that gave a charitable donation is greater than 50 percent. The researcher will test these hypotheses using the sample data to determine whether there is convincing statistical evidence to support the alternative hypothesis.

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Answer: 3/-4

The slope is measured in terms of rise over run. Rise is how many units you go up or down from the point (0, 0). Run is how many units you go left to right from the point where rise left off.  For this question, we go up 3 and to the left 4. SO that's a 3 on top and a -4 on the bottom.

3nomber is right

Is it helpfui

I think its 3! ^w^

Sawarasenai kimi wa shoujo na no?~

Megan's biking speed was 6.4 mph and her jogging speed was 1.6 mph

A variable is a quantity that may change within the context of a mathematical problem.

Let's use the following variables to represent the unknown speed :

We know that Megan biked for a certain amount of time, and then jogged for one hour longer. Let's use the variable t to represent Megan's biking time, in hours. Then her jogging time is t + 1 hour.

We can use the formula:

distance = rate x time

To create two equations based on the given information.

For the biking distance of 10 miles, we have:

10 = v_bike * t

For the jogging distance of 8 miles, we have:

8 = v_jog * (t + 1)

We also know that Megan's biking speed was 4 times her jogging speed, so we have:

v_bike = 4 * v_jog

We can substitute this equation into the first equation to get:

10 = 4 * v_jog * t

Simplifying this equation, we get:

t = 2.5 * v_jog

We can substitute this equation into the second equation to get:

8 = v_jog * (2.5 * v_jog + 1)

Simplifying this equation, we get:

8 = 2.5 * v_jog^2 + v_jog

Rearranging the terms, we get:

2.5 * v_jog^2 + v_jog - 8 = 0

We can solve this quadratic equation using the quadratic formula:

Finally, we can use the equation v_bike = 4 * v_jog to find Megan's biking speed:

v_bike = 4 * 1.6 mph = 6.4 mph

Therefore, Megan's biking speed was 6.4 mph and her jogging speed was 1.6 mph

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By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Answer:

I don't understand.............

Answer:

The probability of 213 or fewer cases of such cancer in a group of 479,908 people is 0.2776.

Step-by-step explanation:

We are given that assuming that cell phones have no​ effect, there is a 0.000462 probability of a person developing cancer of the brain or nervous system. We, therefore, expect about 222 cases of such cancer in a group of 479,908 people.

Let \(\hat p\) = sample probability of a person developing cancer of the brain or nervous system.

The z-score probability distribution for the sample proportion is given by;

                            Z  =  \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\)  ~ N(0,1)

where, p = population probability of a person developing cancer of the brain or nervous system = 0.000462

            n = sample of cell phone​ users = 479,908

Now, the probability of 213 or fewer cases of such cancer in a group of 479,908 people is given by = P(\(\hat p\) \(\leq\) \(\frac{213}{479,908}\) )

     P(\(\hat p\) \(\leq\) 0.000444) = P(\(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) \(\leq\) \(\frac{0.000444-0.000462}{\sqrt{\frac{0.000444(1-0.000444)}{479,908} } }\) ) = P(Z \(\leq\) -0.59)

                                 = 1 - P(Z < 0.59) = 1 - 0.7224 = 0.2776

The above probability is calculated by looking at the value of x = 0.59 in the z table which has an area of 0.7224.

These results suggest about media reports that cell phones cause cancer of the brain or nervous​ system that there is around 28% chance that 213 or fewer cases of such cancer in a group of 479,908 people can take place.

Answer:

\(p_{o} = 6\), \(r = 2\), \(p_{12} = 24576\).

Step-by-step explanation:

The value of \(p_{o}\) is the first value of the geometric series, that is, \(p_{o} = 6\).

If the series represents a geometric sequence, then \(r\) must be constant for every consecutive pair of elements, that is:

\(r_{1} = \frac{p_{1}}{p_{o}} = \frac{12}{6} = 2\)

\(r_{2} = \frac{p_{2}}{p_{1}} = \frac{24}{12} = 2\)

\(r_{3} = \frac{p_{3}}{p_{2}} = \frac{48}{24} = 2\)

Since \(r_{1} = r_{2} = r_{3} = 2\), \(r = 2\).

The geometric sequence can be represented by the following formula:

\(p_{n} = p_{o}\cdot r^{n}\), for \(n \in \mathbb{N}\)

The 12th element of the geometric sequence is: (\(p_{o} = 6\), \(r = 2\), \(n = 12\))

\(p_{12} = 6\cdot 2^{12}\)

\(p_{12} = 24576\)

The value of x is -3 when value of y = 15 by using the property proportion as x and y are directly related to each other.

What is direct relation?

Two variables x and y are directly related to each other if x increases or decreases the value of y also increases or decreases proportionally.

We are given that value of y is -50 then value of x is 10

We have to find the value of x when y is 15

We solve it using proportion

we have,

10/x = -50/15

On separating the variable from the constant and then simplifying we get,

x=-3

Hence the value of x is -3 when y is 15

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The expression can be simplified to obtain as 9 + 6t.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is 9 + 12t – 6t.

It can be simplified as follows,

9 + 12t – 6t

Here 9 is a constant.

And, the terms 12t and 6t have the same variable t.

Which implies they are like terms.

Since the like terms in an expression can be added to subtracted, the given expression can be simplified as below,

9 + 12t – 6t

⇒ 9 + 6t

Hence, the simplification of the given expression results as 9 + 6t.

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Answer:

What is true about the dilation?

A large parallelogram is the pre-image and a smaller parallelogram is the image.

A.It has a scale factor between zero and one and is a reduction.

C.It has a scale factor between zero and one and is an enlargement.

D.It has a scale factor greater than one and is an enlargement.

is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x^3 − 5x^2 + 8x − 6

Step-by-step explanation:

Answer: 23100 voters

Step-by-step explanation:

42*55000=2310000

2310000/100=23100 voters

Answer:

22/7

Step-by-step explanation:

22/7 is not very close to pi, but it is sometimes used as an estimation for pi

Answer:

22/7 is estimation

Answer:

Tenths

Hope this helps :)

Answer:

tenths

Step-by-step explanation:

(a) A (20, 60), B = (0, 0) and C = (80, 0).

(b) The values of x and y that maximize the objective function are

(20, 60).

(c) From graph  we can see that (20, 60) is the maximum value of the objective function on the feasible region.

What is feasible region?

The set of all possible points of an optimization problem that satisfy the problem's constraints—which may include inequalities, equalities, and integer constraints—is referred to in mathematics as a feasible region, feasible set, search space, or solution space.

Given,

x ≥0, y ≥ 0

x + y ≤ 80

y ≤ 3x

Objective function: z = 250x + 300y

(a) For the given constraints the feasible region is attached below.

The feasible region is ABC.

where, A (20, 60), B = (0, 0) and C = (80, 0).

(b) Now to find the values of x and y which maximize the objective function.

z = 250x + 300y

At A = (20, 60)

z = 250(20) + 300(60) = 5000 + 18000 = 23000

At B = (0, 0)

z = 250(0) + 300(0) = 0

At C(80, 0)

z = 250(80) + 300(0) = 2000 + 0 = 2000

Therefore, the values of x and y that maximize the objective function are (20, 60).

(c) From graph  we can see that (20, 60) is the maximum value of the objective function on the feasible region.

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Let's call the amount of money Rosa spent on art supplies "x". Since Rosa spent 1/4 of her money on art supplies, we can write the equation:

x = (1/4) * 300

x = 75

So Rosa spent $75 on art supplies.

Now we can find out how much money she had left after spending the $75 on art supplies.

remaining = 300 - 75

remaining = 225

And we can find out how much she spent on the boots.

boots = (2/5) * remaining

boots = (2/5) * 225

boots = 90

So Rosa spent $90 on the boots.

Let's call the amount of money Rosa spent on art supplies "A". Since Rosa spent 1/4 of her original $300 on art supplies, we can write the equation:

A = 1/4 * $300

A = $75

So, Rosa spent $75 on art supplies.

Next, let's find out how much money she had left after buying the art supplies. We can subtract the amount she spent on art supplies from her original $300:

$300 - $75 = $225

Now, let's find out how much she spent on the boots. We know that she spent 2/5 of the remainder on the boots, so we can write the equation:

B = 2/5 * $225

B = $90

So, Rosa spent $90 on the boots.

Answer:

Step-by-step explanation:

You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.

You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3

You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.

The logarithm of 6.373log4.948/sqrt(0.004636) is approximately 2.2022

Logarithm is the inverse operation of exponentiation. It is a function that tells you what power you need to raise a given base to in order to get a certain value.

The logarithm of a number x with respect to  base a is denoted as logₐ(x).

For example, if we have a base of 2 and a value of 8, we can write:

log₂(8) = 3

Going back to our question, we can apply the basic knowledge of logarithm to solve the question.

First, simplify the expression:

6.373log4.948/sqrt(0.004636)

= 6.373 * log(4.948) / sqrt(0.004636)

= 6.373 * 1.6941 / 0.068

= 159.50

Now, we can find the logarithm of 159.50.

log(159.50) ≈ 2.2022

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Answer:

a. y = 27.5 - 0.3X

b. 20

Step-by-step explanation:

y =  a + bX

usin the table in the attachment i added, we so for the regression equaion

n = 8

∑xy = 4460

∑x = 280

∑y = 136

∑x²= 10800

\(b=\frac{8(4460)-(280)(136)}{8(10800)-280^{2} } \\b=\frac{35680-38080}{86400-78400} \\b=\frac{-2400}{8000} \\b = -0.3\)

from here we solve for a

\(a= \frac{136-(-0.3)(280)}{8} \\a =\frac{136+84}{8} \\a=\frac{220}{8} \\a = 27.5\)

a. the estimated regression equation

y = 27.5 - 0.3X

b. at x = 25

y = 27.5 - 0.3(25)

y = 20 is the number of defective parts.

The increase in height (rise) of the balloon is \(35.53 feet\)

What is Pythagorean Theorem?

Pythagoras' theorem states that "the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides."

The angle of elevation is generated by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.

According to the given information:

Given that,

Initial angle of elevation = \(19.3^{0}\).

Final angle of elevation = \(32.3^{0}\).

Distance = \(126 feet\).

How to calculate the height (rise).

In order to determine the increase in height (rise) of the balloon, we would apply Pythagorean Theorem. Mathematically, this is given by this formula:

tan∅ = \(\frac{height}{adj}\)

height = adjacent \(*\) tan∅

At an initial angle of elevation:

height \(=126* tan 19.3^{0} \\= 126 * 0.3501\\= 44.11 feet\)

At a final angle of elevation:

height \(=126* tan 32.3^{0} \\= 126* 0.6321\\= 79.64 feet\)

For the change in height:

Δh \(= 79.64-44.11\\=35.53 feet\)

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Answer:

i cant put the picture

Step-by-step explanation:

d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median

Answer:

each bowl can contain 5/3 oz. of soup.

Step-by-step explanation:

1 cup = 8 oz.

                  8 oz.

5 cups x --------------  =  40 oz.

                   1 cup

to get the measurement of each bowl,

40 oz. divided into 24 bowls.

therefore, each bowl can contain 5/3 oz. of soup.

For a line with a slope a and a known point (h, k), the point-slope form is:

y = a*(x - h) + k

A general linear equation can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through a point (h, k), then the point-slope form of that line is:

y = a*(x - h) + k

Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:

y = a*(x - 0) + b

y = a*x + b

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Answer:

Option (C)

Step-by-step explanation:

Coordinates of the point representing the location of Miya → (1, 10)

Coordinates of the point representing the location of Drea → (13, 1)

Coordinates of the point representing the location of Francine → (16, 1)

Coordinates of the point representing the location of Beach → (19, 4)

Distance between Miya and Drea = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

                                                        = \(\sqrt{(13-1)^2+(1-10)^2}\)

                                                        = \(\sqrt{144+81}\)

                                                         = 15 miles

Distance between Drea and Francine = \(\sqrt{(16-13)^2+(1-1)^2}\)

                                                               = 3 miles

Distance between Francine and Beach = \(\sqrt{(19-16)^2+(4-1)^2}\)

                                                                  = \(\sqrt{9+9}\)

                                                                  ≈ 4.2 miles

Total distance between Miya and the beach = 15 + 3 + 4.2

                                                                          = 22.2 miles

Option (C) is the answer.

Answer:

we will assume a variable X for time which is time between two successive bites and time until next bite.

X = (time between successive mosquito bites) = (time until the next mosquito bite).

According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.

X is a geometric random variable, so

E[X] = 1/p = 10

and

var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population