Juan bought a sweater for $15.95 and two shirts for $9.00 each. how much did juan spend on clothes?

There are 404 numbers between 1 and 2020 inclusive that can be the side of the hypotenuse given that three sides of the right triangle have integral lengths which form an arithmetic sequence. This can be obtained by forming the arithmetic sequence, equating by Pythagoras theorem and finding numbers divisible by the integral.

Let the arithmetic sequence be (a - d), a, (a+d)

Using Pythagoras theorem,

(a - d)² + a² = (a+d)²

a² -2ad + d² + a² = a² + 2ad + d²

2a² - 2ad + d² = a² + 2ad + d²

2a² - a² + d² - d² = 2ad + 2ad

a² = 4ad

a = 4d

Thus hypotenuse will be (a + d) = 4d + d = 5d

Since the value of hypotenuse is 5d, the total numbers divisible by 5 between 1 and 2020 will be the number of possible sides of the hypotenuse.

There are 2020 numbers between 1 and 2020 inclusive

The numbers divisible by 5 = 2020/5 = 404

Hence there are 404 numbers between 1 and 2020 inclusive that can be the side of the hypotenuse given that three sides of the right triangle have integral lengths which form an arithmetic sequence.

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The minimum value of c = 7x + 8y is 42. The minimum value is obtained at point (6, 0).

To calculate the minimum value of the given equation w.r.t the given constraints(inequalities), the steps are:

Step 1: Identify the system of inequalities in the given constraints

Step 2: Graph those inequalities

Step 3: Identify the maximum and minimum values of x and y that satisfy the given inequalities

Step 4: Then, with the obtained coordinates solve the given equation to get the minimum value.

The given equation is C = 7x + 8y, and the constraints list is

2x + y ≥ 0

x + y ≥ 6

x ≥ 0

y ≥ 0

Graphing these inequalities and shading the region that satisfies the given inequalities.

So, from the graph,

the x-values that satisfy all the given inequalities are [6, ∞]

the y-values that satisfy all the given inequalities are [0, ∞]

So, the required coordinate is (6, 0). By this, we can calculate the minimum value of the given equation C = 7x + 8y

Then,

C = 7(6) + 8(0) = 42 + 0 = 42

Thus, the minimum value of the given equation is 42.

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Disclaimer: The given question is incomplete. Here is the complete question.

Question: What is the minimum value of c = 7x 8y, given the constraints on x and y listed below?

2x + y ≥ 0

x + y ≥ 6

x ≥ 0

y ≥ 0

A 99% confidence interval for the population mean of high school students that take the bus to school every day is b) ci=(44.34%, 54.43%)

We need to find the 99% confidence interval for the population mean of high school students that take the bus to school everyday

A confidence interval is a range of estimates for an unknown parameter. The confidence interval is calculated at the specified confidence level; the most common is the 95% confidence level, but sometimes other levels are used, such as 90% or 99%.

The confidence interval of proportions is given by:

π ± z √(π (1-π) /n)

π is the sample proportion.

z is the critical value.

n is the sample size.

For 99% confidence interval the value of z is 2.58

π = 321/650

The confidence interval is given by

=321/650 ± 2.58 √( (321/650) × [ 1 - (321/650) ] ÷ 650)

= (0.493846 ± 0.050594)

=(0.4434 , 0.5443)

=(44.34 % , 54.43 %)

Hence a 99% confidence interval for the population mean of high school students that take the bus to school every day is ci=(44.34%, 54.43%)

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The correct answer is FV = $11,323.38  

What is compound interest explain?

FV = PV x [1 + R]^N, where FV=Future Value, PV=Present Value, R=Interest rate per period, N=Number of periods.

FV = 9,000 x [1 + 0.047]^5

FV = 9,000 x 1.047^5

FV = 9,000 x 1.258152857750007

FV = $11,323.38

Therefore , the answer is $11,323.38.

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Answer:

Continuous

Step-by-step explanation:

Degrees don't always have to be integers. It can be 32.3 degrees, 32.31 degrees, etc.

To find the unpaired electrons:

Therefore, unpaired electrons are:

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Answer:

a. x² + 10x + 25

Step-by-step explanation:

because

(x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25

so, it is a perfect square of (x + 5).

Answer: 30.

Step-by-step explanation:

[tex]7\frac{1}{2} =\frac{7*2+1}{2} \\\frac{14+1}{2}=\frac{15}{2}\\ \frac{15*2}{2*2}=\frac{30}{4} \\ \frac{30}{4}=30*\frac{1}{4} .[/tex]

There are total 30 quarters in [tex]7\frac{1}{2}[/tex].

A quarter is one out of four equal parts. One quarter is the same as the fraction ¼.

A fraction represented with its quotient and remainder is a mixed fraction.

To change a mixed fraction to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

According to the given question.

We have a mixed fraction [tex]7\frac{1}{2}[/tex].

So, the improper fraction of the given mixed fraction is given by

[tex]7 \frac{1}{2} = \frac{15}{2}[/tex]

To find the number of quarters in the given mixed fraction, we will divide [tex]7\frac{1}{2}[/tex]  by  [tex]\frac{1}{4}[/tex].

Therefore,

[tex]\frac{7\frac{1}{2} }{\frac{1}{4} }[/tex]

= [tex]\frac{\frac{15}{2} }{\frac{1}{4} }[/tex]

[tex]= \frac{15\times 4}{2}[/tex]

[tex]= 15\times 2[/tex]

[tex]= 30[/tex]

Hence, there are total 30 quarters in [tex]7\frac{1}{2}[/tex].

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Area covered with grass seed = 10.4[tex]m^{2}[/tex].

What is trapezoid geometry?

A quadrilateral with one set of parallel opposite sides is referred to as a trapezoid. It can have congruent sides (isosceles) and right angles (a right trapezoid), but neither is necessary.

Area of the trapezoid ={ (a+b)/2} +h

where a and b is base and h is height of the trapezoid geometry.

In the question,

a=6m , b=7m and h=4m.

According to the formula { (a+b)/2} +h.

Area covered with grass seed = {(6+7)/2} + 4

                                                    = 10.4[tex]m^{2}[/tex].

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Answer:

26

Step-by-step explanation:

GOT IT RIGHT`

No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.

What does the expected value of a random variable mean?

Is the expected value always equal to the mean?

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The mean distance is increased by a factor of [tex]2^{3/2}[/tex] if the orbital period  of planet y is twice that of the planet x.

Description of the Kepler's law.

The orbital period T and the mean distance from the sun, A, expressed in astronomical units (AU), are related in accordance with Kepler's third law.

The mathematical formula is,

T² = A³

Here, T denotes the orbital period and A represents the average separation or mean distance from the sun.

Now, if T(y) = 2T(x)

⇒ A'³(y) = 2A³(x)

A'(y) = [tex]2^{3/2}[/tex]A(y)

Thus, if orbital period of planet y is twice the orbital period of planet x, the mean distance is lengthened by a factor of [tex]2^{3/2}[/tex].

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Answer:

2 Superscript three-halves

Step-by-step explanation:

Edge

Answer:

XPY = 15π m

Step-by-step explanation:

XPY is 3/4 of the circumference of the circle.  The perimeter of a circle is given by 2πr, with r = 10m.

C = 2πr

C = 2π(10)

C = 20π

3/4 of C is (3/4)(20π)

XPY = 15π m

Answer:

Line LM

Step-by-step explanation:

Answer:

A line is a straight path on a plane that extends forever in both directions with no endpoints.

The answer will be lineLM

The value of f(x) when x is -6 is 1.

Composite functions are also known as function of a function. In order to get a composite functions f(g(x)).

g(4) = -6 (the value of g(x) when x is equivalent to 4 is -6)

f(g(x))= f(g(4)) = f(-6)

f(-6) = 1

The value of f(x) when x is -6 is 1.

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Answer:

$0.45.

Step-by-step explanation:

Total amount of money held by all 5 children

= 5 * 0.50 = $2.50.

After 0.25 is lost the total = $2.25.

So the new average = 2.25 / 5

= $0.45.

Answer:

25 minutes

Step-by-step explanation:

If it takes 5 minutes to prepare one game we need to multiply 5 games by 5 minutes: 5*5 = 25 minutes

The t-test statistic is used to evaluate whether there is any significant difference between the mean hourly wages.

To evaluate whether there is a statistically significant difference between the means of two variables, a t-test is an inferential statistic that is utilized.

A statistical test for assessing hypotheses is the t-test.

The difference between the means from each data set, the standard deviation of each group, and the total number of data values are the three basic data values needed to do a t-test.

There are independent and dependent T-tests.

The problem statement is established mathematically by using a sample from each of the two sets in the t-test. It presupposes that the two means are equal, which is the null hypothesis.

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Answer:

Step-by-step explanation:

Area = h/2 (b_1+b_2)

[tex]\sf\cfrac{7}{2}\:(22+34)[/tex]

Add 22 and 34 = 56

[tex]\sf \cfrac{7}{2} \times 56[/tex]

Let's express 7/2 * 56 as a single fraction:-

[tex]\sf \cfrac{7\times 56}{2}[/tex]

Multiply 7 and 56 = 392

[tex]\sf \cfrac{392}{2}[/tex]

Divide

[tex]\sf 196[/tex]

Therefore, the area of the trapezoid is 196cm².

_______________________

Answer:

[tex]l = 5.63 \\ [/tex]

hope this helps

The ratio of the number of sundaes with nuts to the number of sundaes without nuts is; 11:39

We are given;

Number of sundaes with nuts sold = 11

Number of sundaes without nuts sold = 39

Thus, the ratio of the number of sundaes with nuts to the number of sundaes without nuts is;

11:39

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Answer: [tex]y=4x^3[/tex]

Step-by-step explanation:

See attached image.

The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The parent function is,

⇒ y = x³

Now, After vertically stretched by a factor of 4 we get;

The value of function is,

⇒ y = 4x³

Hence, The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

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Based on the function, the range of f(x) = 2(3)^x can best be described as y > 0.

When a number is raised to a power, the result will always be positive even if the number is raised to a negative number.

This means that 3^x will always be positive which means that 2(3)^x will also be positive. y will therefore always be greater than 0.

Full question is:

Which best describes the range of the function f(x) = 2(3)^x?

y > 0

y ≥ 0

y > 2

y ≥ 2

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Answer:

2

Step-by-step explanation:

There are only 2 numbers in the final answer (6.0), so you just need 2 significant figures.

Total slack is calculated by the late finish minus early finish and the late start minus the early start

Total slack is simply the amount of time taken for a task to be delayed before the project finish date is delayed. It can be positive or negative.

It is calculated as the calculated as the value of the Late Finish minus the Early Finish field, and the Late Start minus the Early Start field.

Total slack = Late finish - early finish + late start - early start

Thus, the total slack is calculated by the late finish minus early finish and the late start minus the early start.

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Answer:

Step-by-step explanation:

You answer

The probability of getting someone in the 22-29 age bracket or someone who agreed to respond is 0.96.

The rate of possible outcomes to the total outcomes is said to be the probability.

P(E) = n(E)/n(S)

E - event and S -sample space

we have,

P(A or B) = P(A) + P(B) - P(A and B)

It is given that,

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys.

The data is listed below:

(Age group)                Response - agreed         Response - refused   Total

18-21                            76                                     14                                 90

22-29                          240                                   23                                263

Total                            316                                    37                                353

So, consider the required events

Age group (22-29) as A and someone who agreed to respond as B

Thus, the probabilities are calculated as below:

P(A) = n(A)/n(S) = 263/353

P(B) = n(B)/n(S) = 316/353

P(A and B) = n(A and B)/n(S) = 240/353

Substituting all these in the formula we get,

P(A or B) = P(A) + P(B) - P(A and B)

               = 263/353 + 316/353 - 240/353

               = 339/353

               = 0.96

Therefore, the required probability is 0.96.

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An equation which is equivalent to the equation bsin(A) = asin(B) is: B. [tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]

The law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]

In this context, we can infer and logically deduce that an equation which is equivalent to the equation bsin(A) = asin(B) is [tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex].

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Answer: B

Explanation: sin(A)/a=sin(B)/b

Answer:

946

Step-by-step explanation:

Let's make an equation :

34% of x = 321.8

Covert 34% into decimal by dividing by 100 :

34 ÷ 100 = 0.34

Rewrite equation with decimal form :

0.34x = 321.8

Divide both sides by x to make x the subject :

x = 321.8 ÷0.34

x = 946.470588235

To the nearest whole number will be 946 as 4 rounds it down

So our final answer will be 946

Hope this helped and have a good day

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{34}{100} \sdot x = 321.8[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \cfrac{(321.8) \sdot(100)}{34} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 946.47[/tex]

Round off to nearest whole number :

[tex]\qquad \sf  \dashrightarrow \: x = 946[/tex]