Given a right triangle with legs a and b and hypotenuse c, find
the length of side b if
c=13, a = 12

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The statement "When the sample means lies relatively far away from µ0 in a hypothesis test, the decision should be to reject the null hypothesis." is false

This is further explained below.

Generally, When the p-value is lower than or equal to your significance threshold, you should conclude that the null hypothesis is incorrect.

Your findings from the sample provide support to the alternative hypothesis, which indicates that the effect may be present in the population as a whole.

Remember, as a mnemonic device, that when the p-value is low, the null hypothesis must be discarded!

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The volume (V) of Lorie's shed, being 18.25 ft in length, 15 ft in width and  (5 1/5) ft in height, will be 1423.5 cubic fts.

As per the question statement, Lorie ordered a shed of length 18.25 ft, width 15 ft and height (5 1/5) ft, to hold her gardening supplies.

We are required to calculate the volume of the above mentioned shed using the formula, provided in the question statement itself.

To solve this question, we will simply put our values in the provided formula and calculate to obtain our desired answer.

Here, "l" = 18.25 ft

       "w" =  15 ft,

And "h" =(5 1/5) =(25+1)/5=26/5=5.20ft.

Substituting the values of "l", "w" and "h" in the formula (V = lwh), we get,

Volume of the shed (V) = 18.25[tex]\times[/tex] 15 [tex]\times[/tex] 5.20

[tex]or, V = 1423.5ft^{3}[/tex].

Volume: It is a measure of occupied three-dimensional space by an object or a substance, or that is enclosed within a container.

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The solution the inequality 3|x+2|<6 is D. -4<x<0 .

Inequality represents comparing two non equal quantities.

According to the given question an inequality 3|x+2| < 6 is given and we have to determine it's graph.

We know, 3|x+2|<6

= |x+2| < 2.

∴ (x+2) < 2

x < 0.

Or

-(x+2)<2.

- x - 2 < 2

- x < 4.

x > - 4.  (Think of moving the values to other sides).

So,    -4 < x < 0 and this will be represented in the number line by open circle and they are strictly less than and greater than.

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The equation has no solution for the variable w

The equation is given as

v = -3x + s

In the above equation, there is no occurrence of the variable w

This means that it is not possible to solve the equation for w

Hence, the equation has no solution for the variable w

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The scientific notation 8.3E negative 6 written in standard form is 8.3 × 10 ^ -6

The standard form of a number is the number raised to an exponent or power which could be a variable or also a number.

It is also known as the index form of a number.

Given the scientific notation as;

8.3E negative 6

It is important to note that 'E' denotes the exponential value and is written as 10^x

Negative six = -6

Substitute into the notation;

8.3 × 10 ^ -6

Thus, the scientific notation 8.3E negative 6 written in standard form is 8.3 × 10 ^ -6

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Answer:

152

Step-by-step explanation:

you will multiply 3and 5 each three times.

3*3*3=27

5*5*5=125

27+125=152

Answer:0.705,srry if its wrong :(

Step-by-step explanation:

I just answered this. please look at your copy post.

[tex]area = length \times width \\ 35 = length \times 5 \\ length = \frac{35}{5} = 7[/tex]

The standard form given of the function is x² - 12x - 45.

A quadratic equation has the conventional form ax2 + bx + c = 0, where an is the leading coefficient and a real integer that is not zero.

The quadratic equation ax2 + bx + c = 0 has the conventional form, where a 0 and a, b, and c are real values.

The given function is -

(x−6)²=81

⇒ x² + 36 - 12x = 81

⇒ x² - 12x = 81 - 36

⇒ x² - 12x = 45

⇒ x² - 12x - 45

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Answer:

Step-by-step explanation:

Given that the formula for exponential calculation :

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = increasing rate

n = number of times increases applied per time period

t = number of time periods elapsed

[tex]A = 5,000,000,000(1 + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{100}{100} + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{102}{100})^{5}\\A = 5,000,000,000(\frac{51}{50})^{5}\\A = 5,000,000,000(1.104)\\\\A = 5,520,000,000\\A = 5.52billion[/tex]

Hope this helps, I would really appreciate it if u mark me as the brainliest. Thks

The order of the given numbers from the least to greatest will be (-1968/7), 738/8, and 1024/7.

Given that,

Numbers 1024/7, -1968/7 and 738/8,

Now,

According to the question,

We have to place them in order from the least to greatest,

i.e.

In the increasing form or in the ascending order.

And,

Ascending order is the way of writing given numbers in an increasing sequence.

Now,

we have,

Numbers 1024/7, -1968/7, and 738/8,

Now,

-1968/7 is the least or smallest number as it is in negative form.

And,

738/8 in its decimal form will be 92.25,

And,

1024/7 in its decimal form will be 146.285,

So,

The order from the least to greatest is (-1968/7), 738/8, and 1024/7.

Hence we can say that the order of the given numbers from the least to greatest will be (-1968/7), 738/8, and 1024/7.

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Answer:9

(note)

I'm not great in math  so....

The equation for the linear function that best fits the data is y = 22.14x + 53.33

The data is given as

X 1. 2. 3. 4. 5. 6

Y 77. 101. 118. 137. 158. 194

Next, we enter the above values in a graphing calculator

From the graphing calculator, we have the following calculatiion summary:

For the regression equation, we have

y = bx + a

Where

b = SP/SSX = 387.5/17.5 = 22.14286

a = MY - bMX = 130.83 - (22.14*3.5) = 53.33333

Approximate b and a

So, we have

b = 22.14

a = 53.33

This gives

y = 22.14x + 53.33

Hence, the equation for the linear function that best fits the data is y = 22.14x + 53.33

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Answer:

A) 0.23

B) 0.14

Step-by-step explanation:

Part A)
To solve this question, we'll have to use the Bernoulli formula.
The formula claims that the probability to get [tex]k[/tex] successes out of [tex]n[/tex] attempts is given by [tex]\binom{n}{k}p^k(1 - p)^{n - k}[/tex].

In our case, [tex]n = 5[/tex], [tex]k = 3[/tex], and [tex]p = 0.78[/tex].

Therefore, the probability that 3 out of the 5 drivers use their turn signal is

[tex]\binom53 \times 0.78^3 \times 0.22^2 \to 0.23[/tex]

Part B)

We are told that the police officer pulled over 5 drivers, 3 of them using turn signals. In this part, we are asked "what is the probability that the 5th driver uses the turn signal and only 2 of the previous four drivers use turn signals?".

[tex]0.78 \times \binom42 \times 0.78^2 \times 0.22^{4-2}\\\to 0.14[/tex]

b. Take the square root of both sides

Solution :

Square root: In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x.[1] For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.

n2 = 16

n= +4/-4

b. Take the square root of both sides

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Step-by-step explanation:

[tex] \frac{ {x}^{ \frac{5}{4} } }{ {x}^{ \frac{1}{6} } } = {x}^{a} [/tex]

[tex] {x}^{a} = {x}^{ \frac{5}{4} - \frac{1}{6} } [/tex]

[tex] {x}^{a} = {x}^{ \frac{15}{12} - \frac{2}{12} } [/tex]

[tex] {x}^{a} = {x}^{ \frac{13}{12} } [/tex]

[tex]a = \frac{13}{12} [/tex]

[tex] \huge \sf { \star{ \green{ \underbrace{\overbrace{\blue{Answer}}}}}}{\star} \\ \\ \: \: \sf \rightarrow{\fbox{21 \: \: Pages}}[/tex]

Step-by-step explanation:

[tex]\texttt{Kate reads} \\ \: \rightarrow \: \tt \: 3 \frac{1}{2} in \: \frac{1}{6} \texttt{ of an hour} \\ \\ \rightarrow 3 \: \frac{1}{2} or \frac{7}{2} \\ \\ \tt = 3.5 \: \texttt{pages in } \frac{1}{6} \texttt{of an hour} \\ \\ \frac{1}{6} = \frac{10 \: min}{60 \: min} \\ \\ \therefore \: 3.5 \: pages \: in \: 10 \: min \: \\ \\ \: \: multiply \: \: 3.5 \: \: by \: \: 6 \: times \: \: \\ \: \: \\ \\ = > 3.5 \times 6 \\ \\ \ = > \blue{\fbox{\pink {21 \tt pages}}}[/tex]

Kate will read 21 pages at the same ratio as much as in 3 1/2 pages in 1/6 of an hour.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Given that,

Kate read 3 1/2 pages in 1/6 of an hour.

1/6 hour → 3 1/2 pages

              → 3 + 1/2 pages

               → 7/2 pages

Multiply by 6 on both sides,

1 hour  → (7/2) × 6 = 21 pages

Hence "Kate will read 21 pages at the same ratio as much as in 3 1/2 pages in 1/6 of an hour".

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The expansion of the binomial (2x² + y²)⁴ is;

(2x² + y²)⁴ = 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸

What is Binomial expansion?

The binomial expansion describe the algebraic expansion of powers of a binomial.

The expression is given as;

(2x² + y²)⁴

Now, The expansion of binomial is;

(2x² + y²)⁴ = (2x²)⁴ + 4 * (2x²)³ * y² + 6 * (2x²)² * (y²)² + 4 * 2x² * (y²)³ + (y²)⁴

               =  16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸

Hence, The expansion of the binomial (2x² + y²)⁴ is;

(2x² + y²)⁴ = 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸

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Answer:

x^2 + 15

Step-by-step explanation:

All the other answers are wrong

Answer:

1/6(0.16), 3/14(0.21), 2/7(0.28), 1/3(0.33)

Step-by-step explanation:

Your answer should be: [tex]\frac{1}{6} < \frac{3}{14} < \frac{2}{7} < \frac{1}{3}[/tex]

Otherwise known as [tex]\frac{1}{6}, \frac{3}{14}, \frac{2}{7}, \frac{1}{3}[/tex]

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Hope this helps!

Have a great day and God bless! :)

Answer:

60 / (15+x)

Step-by-step explanation:

First, we would start off with (15+x).  It is in parenthesis because we need to do that foremost.  

Second, we divide by 60.  

60/(15+x)

Answer:

y = -3x - 12

Step-by-step explanation:

y - 7 = -3x  Put in the slope intercept form for a line

y = -3x + 7

Use the slope (-3), the x(-6) and the y(6) to find the y intercept and to write the equation for the line.

y = mx + b

6 = (-3)(-6) + b

6 = 18 + b  Subtract 18 from both sides

-12 = b

y =mx + b

y = -3x -12

Step-by-step explanation:

[tex]7x + 2 = 30 \\ 7x = 30 - 2 \\ 7x = 28 \\ x = \frac{28}{7} \\ x = 4[/tex]

Answer: i guess it wants you to use ratios, so the final picture would be 24in x 36in

Step-by-step explanation:

so the length of the photograph, which is the height, is 24. so 24/4 is six, which means multiply six by six to get 36 which is the width

The equation of the transformed function is g(x) = (x - 2)² - 3 or g(x) = x² - 4x + 1.

Consider this straightforward illustration: The parent function, denoted by the red curve, is f(x) = x².

Blue is used to color the graph of the converted function g(x). Finding the equation for the function g is our objective.

Now,

Reflection of f across the x-axis: this gives us the function of the graph as:

f₁( x ) = x²

Translation of f₁ by 2 units to the right across the x-axis: this gives us the second transformed function.

f₂( x ) = ( x − 2 )²

Translation of f₂ by 3 units up across the negative y-axis: this gives us the transformed function.

g(x) = ( x − 2 )² - 3 = x² - 4x + 4 - 3

g( x ) = x² - 4x + 1

Now, the points on the graph are ( 2, -3) and (0, 1).

Verifying the equation.

For ( 2, - 3),

g(2) = 2² - 4(2) + 1

g(2) = 4 - 8 - 1 = - 4 + 1 = - 3

For point ( 0, 1):

g(0) = 0² - 4(0) + 1

g(0) = 1

Hence the equation of the graph is g(x) = x² - 4x + 1.

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