The tv shown below has a diagonal of 19 cm and a width of 9
cm. To the nearest centimeter, what is the length of the
rectangle?

Answer is d

Step-by-step explanation:

If you multiply a^6 and a it equals a^7

Answer:

8,855

Step-by-step explanation:

The number of possible orders is 2,30,230.

Combinations are ways to choose things from a collection where the order of the choices is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining the words indicates "Selection of things," where the order of the items is irrelevant.

Given total numbers of flavours = 26

number of dip = 6

Combinations allows us to create various sets of x components from a total of n elements, where their order is irrelevant and no member is repeated.

Combinations can be mathematically stated as:

ⁿCₓ = \(\frac{n!}{(n - x)!x!}\)

we have n = 26

and x = 6

ⁿCₓ =  \(\frac{n!}{(n - x)!x!}\)

²⁶C₆ = \(\frac{26!}{(26 - 6)!6!}\)

26! = 26 x 25 x 24 x 23 x 22 x........ x 1

6! = 6 x 5 x 4 x 3 x 2 x 1

²⁶C₆ = 26!/(20!6!)

²⁶C₆ = 26 x 25 x 24 x 23 x 22 x 21 x 20!/(20!6!)

²⁶C₆ = 26 x 25 x 24 x 23 x 22 x 21/(720)

²⁶C₆ = 2,30,230

Hence the numbers of orders are 2,30,230.

Learn more about combination;

https://brainly.com/question/19692242

#SPJ2

Answer:

4√3/3

Step-by-step explanation:

Find the diagram attached below

Considering angle 60°

Opposite side = 2

Hypotenuse = x

Using the SOH CAH TOA identity

sin theta  = opposite/hypotenuse

sin 60 = 2/x

x = 2/sin60

x = 2/(√3/2)

x = 2 * 2/√3

x = 4/√3

Rationalize

x = 4/√3 * √3/√3

x = 4√3/3

Hence the value of x in its simplest form is x = 4√3/3

A sample from a population, the goal is to use that sample to make inferences about the population as a whole. The sample statistics that from the sample can be used to estimate the population Parameters.

A sample from a population, the goal is to use that sample to make inferences about the population as a whole. The sample statistics that you calculate from the sample can be used to estimate the population parameters. Here are some sample statistics and the population parameters that they may estimate:

Sample mean: The sample mean is calculated by adding up all the values in the sample and dividing by the number of observations. It is a measure of central tendency that can be used to estimate the population mean.

Sample variance: The sample variance is a measure of how spread out the data is in the sample. It is calculated by subtracting each data point from the sample mean, squaring the result, adding up all the squared differences, and dividing by the sample size minus 1. It can be used to estimate the population variance.

Sample proportion: The sample proportion is the number of observations in the sample with a certain characteristic (e.g. the number of people who prefer coffee over tea) divided by the total sample size. It can be used to estimate the population proportion.

Standard error: The standard error is a measure of the variability of the sample statistic (e.g. the sample mean) across multiple samples. It can be used to estimate the variability of the population parameter (e.g. the population mean) across multiple samples.

Confidence interval: A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence (e.g. 95%). It is calculated using the sample statistic (e.g. the sample mean) and the standard error, and it can be used to estimate the population parameter.

For more questions on Parameters.

https://brainly.com/question/29887742

#SPJ8

Juan is paid 1575 pesos, 1800 pesos, 2137.5 pesos

It is given that Juan Dela Cruz is paid 45 peso for every hour he works for up to 40 hours and 1.5 times i.e. 67.5 pesos for every hour after 40 hours.

The first part asks for Juan's earning if he works 35 hours

Therefore , according to the function,

Juan's pay = 35 x 45 = 1575 pesos

The second part asks for Juan's earning for 40 hours

Therefore, according to the function,

Juan's pay for 40 hours = 40 x 45 =1800 pesos

The third part asks for Juan's earning for 45 hours

Juan's pay for 45 hours according to the function=

67.5h-900 = 67.5 x 45 -900 = 2137.5 pesos

Hence, Juan is paid 1575 pesos, 1800 pesos, 2137.5 pesos

#SPJ9

Answer:

Step-by-step explanation:

18 x 2 is 36 so to find out how many you could plant in a ten-foot area divide ten by 2 to get five.

Answer:

0.007 pounds a day

Step-by-step explanation:

if he loses 18.5 pounds in 4 weeks then each week has 7 days so you divide 18.5 by 7 four times. HOPE THIS HELPS :)

The value of angle BCD is determined as 108⁰.

option B is the correct answer.

The value of angle BCD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

arc AB =  m∠ACB

m∠ACB =  72⁰

The value of angle BCD is calculated as follows;

angle BCD = 180 - 72⁰ (sum of angles in a circle)

angle BCD = 108⁰

Learn more about chord angles here: brainly.com/question/23732231

#SPJ1

Answer:

x = -5

Step-by-step explanation:

Original equation:

2(2x - 7) = -34

Use distributive property

2 · 2x = 4x

2 · (-7) = -14

Plug these values back into the equation

4x - 14 = -34

Add 14 to both sides

4x = -20

Divide both sides by 4

x = -5

Hope this helps :)

Please consider Brainliest :)

We have the fortune that the power of ten is equal in both adding up. So

Because the integer before the dot is less than 10, we need not do modifications and our answer is 9.1x10^4.

The final rule for g(x) is g(x) = 3|3x| + 12.

To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.

So, the rule for g(x) is g(x) = 3f(x).

Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:

g(x) = 3f(x)

g(x) = 3(-|3x| - 4)

g(x) = -3|3x| - 12

This is the expression for g(x), which represents the transformed graph.

To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.

Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.

Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.

The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).

For more such questions on final rule visit:

https://brainly.com/question/30396691

#SPJ8

Answer:

1. The trigonometric ratios are given as follows:

2. The equation to solve for x is given as follows: sin(52º) = x/13.

3. Two equations to solve for m are given as follows:

4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.

5. The lengths are given as follows:

The three trigonometric ratios are given as follows:

In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m, as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Answer:

D

DDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The number of parents spend their kids birthday parties

'n' = 1667

Step-by-step explanation:

Explanation:-

Given standard deviation of the Population = 62.5

Given the estimate error = 3 dollars

Level of significance =0.05

Z₀.₀₅ = 1.96

The margin of error defined by

\(M.E = \frac{Z_{0.05} S.D}{\sqrt{n} } \\3 = \frac{1.96 X 62.5}{\sqrt{n} }\)

cross multiplication , we get

3√n = 1.96 X 62.5

 √n = 40.833

Squaring on both sides, we get

n = 1667.34



The number of samples are 'n' = 1667

Answer:

$1.23

Step-by-step explanation:

9 binders for 11.07, where x = num of binders

9x = 11.07  [Divide both sides by 9]

x = $1.23

Answer:

each binder costs $1.23

Step-by-step explanation:

$11.07 divided by 9 equals $1.23

Answer:

\(\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} ) =(9.5, 0.5)\)

Step-by-step explanation:

let \((x_1,y_1)=(9,-8)\)

let \((x_2,y_2)=(10,9)\)

\(\textsf{midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)

\(\implies\textsf{midpoint}=(\frac{9+10}{2} ,\frac{-8+9}{2} )\)

\(\implies\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} )\)

The possible ways the corner convenience store can sell candy packages to spend at least $3.00 is

An equation is a mathematical model showing the equality of two opposite sides or an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given parameters are

20c, 30c and 50c

Least cost =$3

Let the possible ways be x

20x+30x+50x=3.00

Solving the equation we have:

100x=3.00

make x the subject

100x=3

x=3/100

This can be expressed in decimal as 0.03

In conclusion, he can sell it in 3/100 or 0.03 ways to spend at least $3.00 on a candy.

Learn more about equations on https://brainly.com/question/29657983

#SPJ1

Answer:

(-∞, -4]

Step-by-step explanation:

4x - 1 < -15

4x < -14

x < -14/4

x < -7/2

So the solution to the inequality is x < -7/2. This means that all integer values of x that make the inequality true are the integers less than -7/2. In interval notation, we can write this as:

(-∞, -4]

Answer: [-∞, -4]

Step-by-step explanation:

Given inequality

4x - 1 < -15

Add 1 on both sides

4x - 1 + 1 < -15 + 1

4x < -14

Divide 4 on both sides

4x / 4 < -14 / 4

x < -3.5

Since, -3.5 is not an integer and the interval needs to be less than -3.5.

The closest integer that is less than -3.5 is -4.

Therefore, all integers [-∞, -4] fulfill this inequality.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The circle's diameter is approximately 24.2 cm

Step-by-step explanation:

You can use the Pythagorean theorem to solve this, my realising that the 5cm distance of the chord represends one side of a right triangle, half the chord's length is the other side, and the hypotenuse of the two is the circle's radius.  With that we can say:

r = √(11² + 5²)

r = √(121 + 25)

r = √146

Now we can double that to get the diameter:

r = 2√146

r ≈ 24.2

Answer:

The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.

Step-by-step explanation:

Before solving this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

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

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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

To US and Canada:

37 overweight out of 256. So

\(p_1 = \frac{37}{256} = 0.1445, s_1 = \sqrt{\frac{0.1445*0.8555}{256}} = 0.022\)

Europe:

41 overweight out of 246. So

\(p_2 = \frac{41}{246} = 0.1667, s_2 = \sqrt{\frac{0.1667*0.8333}{246}} = 0.0238\)

Test if there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2):

At the null hypothesis, we test if there is no difference, that is, if the subtraction of the proportions is 0.

\(H_0: p_1 - p_2 = 0\)

At the alternate hypothesis, we test if there is difference, that is, if the subtraction of the null hypothesis is different of 0.

\(H_1: p_1 - p_2 \neq 0\)

The test statistic is:

\(z = \frac{X - \mu}{s}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

From the two samples:

\(X = p_1 - p_2 = 0.1445 - 0.1667 = -0.0222\)

\(s = \sqrt{s_1^2+s_2^2} = \sqrt{0.022^2 + 0.0238^2} = 0.0324\)

Value of the test statistic:

\(z = \frac{X - \mu}{s}\)

\(z = \frac{-0.0222 - 0}{0.0324}\)

\(z = -0.68\)

P-value of the test:

The p-value of the test is the probability of the sample proportion differing from 0 by at least 0.0222, which is P(|z| > 0.68), which is 2 multiplied by the p-value of z = -0.68.

Looking at the z-table, z = -0.68 has a p-value of 0.2483

0.2483*2 = 0.4966

The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

Answer: Maybe B

Step-by-step explanation:

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

Learn more about simultaneous equations at:

https://brainly.com/question/148035

#SPJ1

Answer:4? Think

Step-by-step explanation:

Answer:

p

a

+

q

a

−

r

a

+

r

b

−

q

b

−

p

b

Regroup terms.

p

a

−

p

b

+

q

a

−

r

a

+

r

b

−

q

b

Factor

p

out of

p

a

−

p

b

.

Tap for more steps...

p

(

a

−

1

b

)

+

q

a

−

r

a

+

r

b

−

q

b

Rewrite

−

1

b

as

−

b

.

p

(

a

−

b

)

+

q

a

−

r

a

+

r

b

−

q

b

Factor out the greatest common factor from each group.

Tap for more steps...

p

(

a

−

b

)

+

a

(

q

−

r

)

−

b

(

−

r

+

q

)

Factor the polynomial by factoring out the greatest common factor,

q

−

r

.

p

(

a

−

b

)

+

(

q

−

r

)

(

a

−

b

)

Factor

a

−

b

out of

p

(

a

−

b

)

+

(

q

−

r

)

(

a

−

b

)

.

Tap for more steps...

(

a

−

b

)

(

p

+

q

−

r

)

Answer:

10

Step-by-step explanation:

Answer: it think 10

Step-by-step explanation:

and Get some sleep bro

Answer: 10

Step-by-step explanation:

5+5=10

Answer:

Answer to your question ; f(t) = 55 = 4t