What value of k is the expression x^4+kx^2+36 a perfect square?

Answer:

20 is the mean length of rainbows

Answer:

The proportion you use is the 98 spotted sheep out of 280 sheep, and the percentage of sheep which are spotted is 35%

Step-by-step explanation:

The proportion that can be used should be the 98/280

and if you wanted that as a percentage (of spotted sheep) = 98/280 x 100

which equals 35%

The measure of arc BED in the circle is calculated as:

m(BED) = 218 degrees.

For us to be able to find the measure of the arc, we need to recall that the measure of the intercepted arc is the same as the central angle measure opposite it.

Arc BED will therefore have the same measure as that of the central angle, therefore:

measure of arc BED = 360 - 52 - 90 [note that arc DC is equal to 90 degrees while arc BC is equal to 52 degrees]

Measure of arc BED = 218 degrees.

Learn more about the measure of arc on:

https://brainly.com/question/28045005

#SPJ1

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

To know more about trigonometry:

https://brainly.com/question/14272510

#SPJ1

Answer:

$48

no idea how working out would go

Answer: $48

Step-by-step explanation: First convert 20% to a decimal which is 0.2 or 0.20.

Then multiply 60 x 0.20 which equals 12.

Because it is a markdown then you must subtract 12 from 60 which gives you the answer $48.

I hope this helps!! Good Luck!

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.75x+3=6(x−3)

0.75x+3=(6)(x)+(6)(−3)(Distribute)

0.75x+3=6x+−18

0.75x+3=6x−18

Step 2: Subtract 6x from both sides.

0.75x+3−6x=6x−18−6x

−5.25x+3=−18

Step 3: Subtract 3 from both sides.

−5.25x+3−3=−18−3

−5.25x=−21

Step 4: Divide both sides by -5.25.

−5.25x/-5.25    =    -21/-5.25

Answer: x=4

The value of x from the given equation is 4.

The given equation is 0.75x + 3 = 6 (x - 3).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solve for x as follows:

0.75x + 3 = 6x - 18

⇒ 6x-0.75x = 3+18

⇒ 5.25x=21

⇒ x=21/5.25

⇒ x=4

Therefore, the value of x from the given equation is 4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Answer:

11 cm

Step-by-step explanation:

1m = 100cm

By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.

To show that the pmf of W = X + Y is given by the convolution formula h(w) = ∑f(x)g(w-x) for w = 0, 1, 2, ..., let's follow these steps:

Step 1: Express the probability of W = w.
We need to find the probability of W = w, which can be written as P(W = w) = h(w).

Step 2: Recognize the mutually exclusive events.
As hinted, there are w+1 mutually exclusive events corresponding to (x, y) pairs, where x = 0, 1, 2, ..., w and y = w - x. Since X and Y are independent, the probability of each pair is the product of their individual probabilities: P(X = x) * P(Y = w - x).

Step 3: Use the independence of X and Y.
Since X and Y are independent, we can use their respective pmfs, f(x) for X and g(y) for Y. Thus, the probability of each pair becomes f(x) * g(w - x).

Step 4: Sum over all mutually exclusive events.
Now, we sum the probabilities of all these mutually exclusive events to get the probability of W = w:
h(w) = ∑f(x)g(w-x) for x = 0, 1, 2, ..., w.

So, the pmf of W = X + Y is given by the convolution formula h(w) = ∑f(x)g(w-x) for w = 0, 1, 2, ....

Learn more about "probability": https://brainly.com/question/13604758

#SPJ11

To show that the pmf of W = X+Y is given by the convolution formula h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ... , we will follow these steps:
Step 1: We want to find the probability h(w) = P(W = w), where W = X + Y.
Step 2: Rewrite h(w) in terms of X and Y probabilities.
h(w) = P(X + Y = w)
Step 3: Apply the independence property of X and Y. Since X and Y are independent, we know that the joint probability mass function (pmf) is the product of their individual pmfs: P(X=x, Y=y) = f(x)g(y).
h(w) = \sum_{x=0}^{w} P(X=x, Y=w-x)
Step 4: Sum over all possible values of X that satisfy the condition.
h(w) = \sum_{x=0}^{w} f(x)g(w-x)
So, the pmf of W = X+Y is given by the convolution formula h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ...

Explanation: What is Probability: Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities. Express the probability of the desired event: h(w) = P(W = w), Rewrite h(w) in terms of X and Y probabilities, Apply the independence property of X and Y, Sum over all possible values of X that satisfy the condition.

Learn More About Probability: https://brainly.com/question/24756209

#SPJ11

When conducting a hypothesis test, it is important to determine whether it is a one-tailed or two-tailed test. one-tailed because there is only one interaction being studied (between depression and the new drug) so the correct option is B .

In the given scenario, the researcher is testing whether a new drug might make patients either less depressed or more depressed. Since it is not known whether the drug will make patients less or more depressed, there is no specific prediction about the direction of the effect. Therefore, this would be a two-tailed test.

In a two-tailed test, the critical values for the test statistic are calculated in both directions (positive and negative), and the p-value is calculated as the probability of observing a test statistic as extreme or more extreme than the observed value in either direction.

Learn more about one-tailed or two-tailed test

https://brainly.com/question/31270353

#SPJ4

Looking at the function, there are two sections of the graph, one on the interval [-1, 1) and the other on the interval [1, ∞). On the first interval, the function corresponds to a quadratic function. The endpoints are (-1, 1) and (1, 1), so the function should be:

On the other hand, the second section of the graph is a horizontal parabola, so the function corresponds to a square root function. It passes through the points (1, 1), (4, 2), and (9, 3), so the function should be:

Then, the piecewise function is:

[~Answer~} (7.):
Hey there. I'm Avery, and I'm here to help you with your amazing question! <33
I believe the answer is: $16.95 per fern tree.

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

[~Answer Explanation~]:

first, you want to find how much money the 7 balloons cost:

7(2.30) = 16.10

second, you want to find how much money you have left AFTER buying 7 balloons:

50 - 16.10 = 33.90

third, divide the money you have left by 2 (2 fern trees) to find the final answer:

33.90/2 = 16.95

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

[~Last Messages~]

Okay, I really hope my answer is correct.

I am truly sorry if it's wrong :(

Have a great morning, afternoon, or night. <333

[-!AveryIsSomehowAlive!-]

The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.

The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.

Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.

The following formula gives the likelihood that we will discover a value for X between c and d,

\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)

Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.

Then,

\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)

The answer is 14.29%.

The complete question is -

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?

To know more about uniform distribution:

https://brainly.com/question/17091893

#SPJ4

Answer:

5 packs of eggs

3 packs of spoons

Step-by-step explanation:

Eggs are sold in packs of 6

Spoons are sold in packs of 10

The teachers want to have 1 egg for every spoon

Find the Lowest common multiple of 6 and 10

6 = 12, 18, 24, 30, 36, 42, 48, 54, 60

10 = 20, 30, 40, 50, 60

The lowest common multiple of 6 and 10 is 30

If the teachers want to buy exactly 30 spoons and have no leftovers

Eggs are sold in packs of 6

Number of packs needed = 30 /6

= 5 packs

Spoons are sold in packs of 10

Number of packs needed = 30/10

= 3 packs

The teacher will buy 5 packs of eggs and 3 packs of spoons to have exactly 30 spoons and have no leftovers

Answer:

15 word problems

Step-by-step explanation:

Given that

Samuel can do 9 word problems in 25 minutes

So we need to find out how he can do the word problems in 42 minutes

The calculation is given below;

= 9 × 42 minutes ÷ 25 minutes

= 15.12

= 15 word problems

Hence, the same would be considered and relevant

Answer:

the answer is lateral area

The chance that each number will occur when a randomly generated list of numbers, generates the number from 0 to 6 is 1/7.

Probability is a field of mathematics that focuses on determining the possibility that an event will occur. The proportion of favorable outcomes to all other outcomes determines an event's chances or probability.

Given:

A randomly generated list of numbers from 0 to 6.The total number are 7 (0,1,2,3,4,5,6).

The chance that each number will occur is,

P = 1/7

Therefore, the chance that each number will occur when a randomly generated list of numbers, generates the number from 0 to 6 is 1/7.

To know more about probability visit:

https://brainly.com/question/10674960

#SPJ13

Any four numbers that are evenly divisible by 2, 3, and 5 will be multiples of 30.

To find numbers that are evenly divisible by 2, 3, and 5, we need to find their common multiple. We start by listing the multiples of each number until we find a common multiple.

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, ...

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

Multiples of 5: 5, 10, 15, 20, 25, 30, ...

We can see that 30 is the smallest common multiple of 2, 3, and 5. Therefore, any four numbers that are evenly divisible by 2, 3, and 5 will be multiples of 30. For example, 30, 60, 90, and 120 are all evenly divisible by 2, 3, and 5. We can continue this pattern by adding 30 to each number to get the next set of four numbers that are evenly divisible by 2, 3, and 5.

Learn more about :

Divisibility : brainly.com/question/5685816

#SPJ11

Answer: 30.75

Step-by-step explanation: times is the key word

You multiply 12.3 and 2.5.

The number of seconds does the firework hit the ground is 3 seconds

From the information given, we have the quadratic function;

y = -16x² + 32x + 48

To determine the value of x , let's reduce the expression, we get;

-2x² + 4x + 6

Now, let's factorize the terms

Multiply the coefficient by the constant and find the pair factors

-2x² + 6x - 2x + 6

Factorize in pairs, we get;

-2x(x -3) - 2(x -3)

Then, we have the expressions

-2x - 2 = 0

solve for x

x = -1

x - 3 = 0

x = 3

Hence, the value is 3 seconds

Learn out functions at: https://brainly.com/question/25638609

#SPJ1

Answer:

3

Step-by-step explanation:

i took the test

Answer:

~8.6

Step-by-step explanation:

5^2+7^2=74

sqrt(74)=8.60232526704

(see Pythagoras theorem)

Answer:

\(1.9\)

the cost of the hamburger will be \(\$1.9\) if no toppings are added.

Step-by-step explanation:

The function is

\(f(t)=1.9+1.4t\)

Let cost of toppings be \(y\)

\(y=1.9+1.4t\)

The y-intercept of a function is the value of the function when \(x=0\). Here number of toppings \(t=0\).

So, the intercept of the function is \(1.9\)

This means the cost of the hamburger will be \(\$1.9\) if no toppings are added.

According to the statement Donald is using Stratified sampling to collects data from the sample.

The correct option is A.

A simple random sample is then taken from each separate or subgroup using the stratified sampling survey method, which first divides the population being studied into distinct subgroups or groups known as strata.

The ability to reduce the sample size needed to obtain reliable results is one of the main benefits of stratified sampling.

When attempting to evaluate data from various subgroups or strata, researchers frequently use stratified random sampling. They can quickly find a population sample that most accurately reflects the entire population they are studying.

To know more about Stratified sampling visit:

https://brainly.com/question/20544692

#SPJ4

I understand that the question you are looking for is:

Donald is studying the eating habits of all students attending his school. He samples the population by dividing the students into groups by grade level and randomly selecting a proportionate number of students from each group. He then collects data from the sample. Which type of sampling is used?

a. Systematic sampling

b. Convenience sampling

c. Stratified sampling

d. Cluster sampling

Step-by-step explanation:

(-8) - ( - 7)

= -8 + 7

= - 1

Hope it will help :)

Answer:

(-8)-(-7)=  -1

Step-by-step explanation:

Answer: You simply need to match each fraction to where they belong

Step-by-step explanation:

To find the critical value t* for a t-distribution with 8 degrees of freedom, we need to use a t-table or a calculator with a t-distribution function. We want to find the value of t* such that the probability of getting a t-value greater than t* is 0.10 (or 10%).

Using a t-table, we can look for the row corresponding to 8 degrees of freedom and find the column that has a probability closest to 0.10. The closest probability in the table is 0.1002, which corresponds to a t-value of 1.859. Therefore, the critical value t* for a t-distribution with 8 degrees of freedom and a probability of 0.10 to the right of t* is approximately 1.859.

Alternatively, we can use a calculator with a t-distribution function to find the critical value. We can input the degrees of freedom (8) and the probability to the right of the critical value (0.10) into the calculator. The result is approximately 1.859.

In conclusion, the critical value t* for a t-distribution with 8 degrees of freedom and a probability of 0.10 to the right of t* is approximately 1.859.

To know more about Calculator  visit :

https://brainly.com/question/30151794

#SPJ11

9514 1404 393

Answer:

  8. 4 +2q²/p² -4r/p +r²/p²

  9. (x, y) = (3/4, -17/8)

Step-by-step explanation:

All of these questions are asking you to make use of the fact that ...

  α + β = -q/p

  αβ = r/p

__

8. (2 +α²)(2 +β²) = 4 + 2(α² +β²) +α²β²

  = 4 +2((α+β)² -2αβ) +(αβ)²

Substituting the above for the sum and product, you have ...

  = 4 + 2((-q/p)² -2(r/p)) +(r/p)²

  = 4 +2q²/p² -4r/p +r²/p²

__

9. This is asking for the vertex of the parabola. The x-coordinate is ...

  x=-b/(2a) = -(-3)/(2(2) = 3/4

Then the y-coordinate is ...

  y = (2(3/4) -3)(3/4) -1 = (-3/2)(3/4) -1 = -9/8 -1 = -17/8

The (x, y) values of interest are (3/4, -17/8).

Step-by-step explanation:

you must have left out important pieces of the equation.

what I can see and therefore solve is

-G + 2 = -12

-G = -14

G = 14

Answer: 30 mph

Step-by-step explanation: Divide 158,400 by 5280(the amount of feet in a mile) to get your answer.

Answer:

Step-by-step explanation: