. If you were to draw a playing card from a standard deck, what is the probability of drawing an ace?


A.1/4
B.3/26
C.1/52
D.1/13

Answer:

1. B

2. C

Step-by-step explanation:

Answer:

h(x - 1) = -5x - 2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Terms/Coefficients

Functions

Step-by-step explanation:

Step 1: Define

Identify

h(x) = -5x - 7

Step 2: Find

Answer: x² - (3/4)x + 9/64 = (x + 3/8)²

Step-by-step explanation:

Concept:

Here, we need to know the idea of completing the square.

Completing the square is a technique for converting a quadratic polynomial of the form ax²+bx+c to the form (x-h)²for some values of h.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

If we expand (x - h)² = x² - 2 · x · h + h²

Given equation:

Since [x² - (3/4)x +___] is the expanded form of (x - h)², then (-3/4)x must be equal to 2 · x · h. Thus, we would be able to find the value of h.

Finally, we plug the final value back to the equation.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

35

Step-by-step explanation:

Answer:

9876

Step-by-step explanation:

7:5

x:4115

To find x mulitply 7 by 823 (because this is what we multiplied 5 by in order to get 4115)

7*823= 5761

Take the sum to find the total number of votes

4115+5761= 9876

Step-by-step explanation:

For a quadratic equation, the second differences will always be the same.

First, we must calculate the first differences between the output, or the y values. This can be calculated as shown, taking the first value and subtracting the second value from that (e.g. 34 - 17 = 17, and 1-2 = -1):

34    17     6      1    2    9     22

\       /  \   /  \    /  \  / \   /   \   /

  17       11       5    -1     -7       -13

The second differences are the differences between the differences we just calculated. This can be calculated as shown:

17   11    5   -1   -7  - 13

\     / \   /  \  / \  / \      /

  6    6     6   6  6

The second differences are all 6, and as a result, we can verify that this is a quadratic relation

Answer:

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation is 9.5 for a population.

This means that [tex]\sigma = 9.5[/tex]

Sample of 60:

This means that [tex]n = 60[/tex]

What is the standard deviation of the distribution of sample means for samples of size 60?

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{9.5}{\sqrt{60}} = 1.2264[/tex]

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

[tex] \sf \: r \: = 30 \: in. \\ \sf \: C \: = 2\pi r \\ \\ \sf \: C \: = 2\pi(30) \\ \sf \: C = 2 \times 30\pi \\ \sf \: C = \boxed{\underline{ \bf c. \: 60\pi \: in.}}[/tex]

Answer:

third option

Step-by-step explanation:

Brainliest please~

Answer:

Ans: -21.87 ≅ -22°C

Step-by-step explanation:

T(x)=-22+44e^-0.03x

Initial temperature (x = 0):

T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C

After 18 minutes (x = 18):

T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C

Answer:

(8.608, 9.392)

Step-by-step explanation:

We have the following information

Population standard deviation = 1.8

Sample mean = 9 hours

Sample n = 81

C I = 95%

So level of significance

Alpha = 1-0.95

= 0.05

Z critical at 0.05/2

Z(0.025) = 1.96

The 95% c.i =

9+-(1.96)(1.8/√81)

9+-(1.96)(0.2)

(9-0.392)(9+0.392)

(8.608, 9.392)

This is the confidence interval at 95%.

I hope you find my solution useful. Good luck!!!

Answer:

- What is the probability at least one of the two televisions does not work?

The probability at least one of the two televisions does not​ work is 0.8163

- The probability that both televisions work is?

The probability that both televisions work is 0.1837

Step-by-step explanation:

Total televisions are 7

Faulty televisions are 4

Number of televisions selected is 2

Answer:

Fail to reject the null hypothesis.

Step-by-step explanation:

People who live in Florida and also have annual pass to Disney world is 221, sample size selected for group 1 is 350.

People who do not live in Florida and have annual pass to Disney world is 365, sample size selected for Group 2 is 650.

Group 1 sample proportion is : 221 / 350 = 0.6314

Group 2 sample proportion is 365 / 650 = 0.5615

Test statistics is 0.8317

Since test stats value is greater than the sample proportion significance level, we fail to reject the null hypothesis.

Answer:

4/7 > 2/10

Step-by-step explanation:

4/7 is close to 1/2

2/10 is close to 0

4/7 > 2/10

7

15

because there are a total of 15 grid and the question asked to pick the grid that doesn't shaded

Answer:

7/15

Step-by-step explanation:

We can count the grids to see that there are 15. This is the total, and will become our denominator. From there, we can count the non blue squares to get to 7, our numerator. We put our numerator, 7, over pur denominator, 15. This gives us 7/15.

Answer:

The value of the CD at the end of the 4 years is $5,808.86.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest.

This means that [tex]P = 5000, r = 0.0375[/tex]

Compounded weekly

An year has 52 weeks, so [tex]n = 52[/tex]

Then

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

[tex]A(t) = 5000(1 + \frac{0.0375}{52})^{52t}[/tex]

What is the value of the CD at the end of the 4 years?

This is A(4). So

[tex]A(4) = 5000(1 + \frac{0.0375}{52})^{52*4} = 5808.86[/tex]

The value of the CD at the end of the 4 years is $5,808.86.

Answer: No, The goal when testing a hypothesis is to to guess a large significant level to possibly have the answer correct based upon evidence. False. It needs to be a large significant level

Step-by-step explanation:

Answer:

100$or 20.4 that is the answer

The required value of m for the given triangle is given as m = 12.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
Applying Pythagoras' theorem,
n² = m² - 6² - - - - (1)

m ² + base² = 24²
base² = 24² - m² - - - - (2)

n² + 18² = base²
From equation 1 and 2
m² - 6² + 18² = 24² - m²
2m² = 24² + 6² - 18²
m = 12

Thus, the required value of m for the given triangle is given as m = 12.

Learn more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

Answer:

8 inches

48 inches

total 56 inches

Step-by-step explanation:

x+6x = 56

7x = 56

Divide by 7

7x/7 = 56/7

x = 8

The smaller piece is x inches or 8 inches

The larger piece is 6x inches or 6*8 =48 inches

8+48 = 56 inches

The total length is 56 inches

Answer:

8 inches, and 48 inches

Step-by-step explanation:

x+6x=56

Solve the equation.

7x=56

x=8

Interpret the results and write the answer in words.

The smaller piece is x = 8 in.

The longer piece is 6x = 6 (8) = 48 in.

The lengths of the two pieces are 8 in

and 48 in.

Answer:

65.03 meters

Step-by-step explanation:

The line of best fit, for the distance of the winning throw, in x years after 1980 is:

[tex]y = 0.34x + 44.63[/tex]

Using the line of best fit, estimate what the distance of the gold medal winning discus throw was in 1980.

1980 - 1920 = 60, so this is y(60).

[tex]y(60) = 0.34(60) + 44.63 = 65.03[/tex]

So the answer is 65.03 meters.

9514 1404 393

Answer:

  65 cubic units

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  V = 1/3Bh

  V = 1/3(30)(6.5) = 65 . . . cubic units

Step-by-step explanation:

swap the variables:

y=6x−4 becomes x=6y−4.

Now, solve the equation x=6y−4 for y.

y=x+46 is the inverse function

f^-1(62)

substitude x=62

y=x+46

y= 62+46

y=108

f^-1(62)=108

brainliest please~

Answer:

The first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.

Step-by-step explanation:

Since Clara made two investments, and Investment A has an initial value of $ 500 and increases by $ 45 every year, while Investment B has an initial value of $ 300 and increases by 10% every year, and Clara checks the value of her investments once to year, at the end of the year, to determine what is the first year in which Clara sees that Investment B's value has exceeded investment A's value, the following calculation must be performed:

500 + (45 x X) = A

300 x 1.1 ^ X = B

A = 500 + 45 x 5 = 500 + 225 = 725

B = 300 x 1.1 ^ 5 = 483.15

A = 500 + 45 x 10 = 950

B = 300 x 1.1 ^ 10 = 778.12

A = 500 + 45 x 15 = 1175

B = 300 x 1.1 ^ 15 = 1253.17

A = 500 + 45 x 14 = 1,130

B = 300 x 1.1 ^ 14 = 1,139.25

Therefore, the first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.

Answer:

[tex] \frac{1}{1 + \cos(x) } [/tex]

Step-by-step explanation:

[tex]y = \frac{ \sin(x) }{1 + \cos(x) } [/tex]

differentiating numerator wrt x :-

(sinx)' = cos x

differentiating denominator wrt x :-

(1 + cos x)' = (cosx)' = - sinx

[tex] (\frac{u}{v} )' = \frac{v. \: (u)' - u.(v)' }{ {v}^{2} } [/tex]

here,

[tex] = \frac{((1 + \cos \: x) \cos \: x )- (\sin \: x. ( - \sin \: x) ) }{( {1 + \cos(x)) }^{2} } [/tex]

[tex] = \frac{ \cos(x) + \cos {}^{2} (x) + \sin {}^{2} (x) }{(1 + \cos \: x) {}^{2} } [/tex]

since cos²x + sin²x = 1

[tex] = \frac{ \cos \: x + 1}{(1 + \cos \: x) {}^{2} } [/tex]

diving numerator and denominator by 1 + cos x

[tex] = \frac{1}{1 + \cos(x) } [/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. Then the two delivery weights give rise to the equations ...

  3x +5y -79 = 0

  12x +2y -199 = 0

Using the "cross multiplication method" of solving these equations, we find ...

  d1 = (3)(2) -(12)(5) = 6 -60 = -54

  d2 = 5(-199) -(2)(-79) = -995 +158 = -837

  d3 = -79(12) -(-199)(3) = -948 +597 = -351

1/d1 = x/d2 = y/d3

x = d2/d1 = -837/-54 = 15.5

y = d3/d1 = -351/-54 = 6.5

The large boxes weigh 15.5 kg; the small boxes weigh 6.5 kg.

_____

Additional comment

My preferred quick and easy way to solve equations like this is using a graphing calculator. In addition to that, an algebraic method is shown.

The "cross-multiplication method" shown here is what I consider to be a simplified version of what you would find in videos. It is a variation of Cramer's rule and the Vedic maths methods of solving pairs of linear equations. I find it useful when "elimination" or "substitution" methods would result in annoying numbers. In such cases, it uses fewer arithmetic operations than would be required by other methods.

Short description: writing the coefficients of the general form equations in 4 columns, where the last column is the same as the first, a "cross multiplication" is computed for each of the three pairs of columns. Those computations are of the form ...

  [tex]\text{column pair: }\begin{array}{cc}a&b\\c&d\end{array}\ \Rightarrow\ d_n=ad-cb[/tex]

The relationship between the differences d₁, d₂, and d₃ and the variable values is shown above.

Answer:

x≤16

Step-by-step explanation:

1/2x - 3 ≤5

Add 3 to each side

1/2x -3+3 ≤5+3

1/2x≤8

Multiply each side by 2

1/2x*2 ≤8*2

x≤16

Answer:

[tex] 1,017.36 \: {cm}^{2} [/tex]

Step-by-step explanation:

Surface area of a sphere

[tex] = 4\pi {r}^{2} \\ = 4 \times 3.14 {(6)}^{2} \\ = 12.56 \times 81 \\ = 1,017.36 \: {cm}^{2} [/tex]

Answer:

1017.36 cm²

Step-by-step explanation:

Given :-

We know ,

Step-by-step explanation:

pandemic times: Potential ... - CAF

have shown evidence that the effect of corruption on real GDP per capita is more pronounced in countries with low levels of8

The first or second one because a function can't have the x value repeating