6. Given one of the root of the quadratic equation x^2- 5kx + k = 0 is four times the
other root, find the value of k.
k = 1/4

​

Answer:

3/4

Step-by-step explanation:

1/2 +1/4 = 2/4 +1/4 = 3/4

Answer:

I'm sorry someone answer before I could

Answer:

the first one n second one

Consider the below figure attached with this question.

Given:

A, B & C lie on a straight line. D, C & E lie on a different straight line.

[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]

To find:

The value of x.

Solution:

A, B & C lie on a straight line.

[tex]m\angle ABD+m\angle DBC=180^\circ[/tex]    (Linear pair)

[tex]y+m\angle DBC=180^\circ[/tex]

[tex]m\angle DBC=180^\circ-y[/tex]

According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex]        (Exterior angle theorem)

[tex]180^\circ-y+z=x[/tex]

[tex]180^\circ-117^\circ +63^\circ =x[/tex]

[tex]126^\circ =x[/tex]

Therefore, the value of x is 126 degrees.

Explanation:

The max is 2 ounces, as shown by the X mark at the very far right side. The min amount is 1 ounce, shown by the other endpoint. Subtracting the two leads to the range of max-min = 2-1 = 1 ounce. The range helps us determine how spread out the data set is.

7). 1/(√7-√11)

= 1×(√7+√11)/(√7-√11)(√7+√11)

= √7+√11 / (√7)² - (√11)²

= √7 + √11 / 7 - 11

= √7 + √11 / (-4)

EXPLAINATION:

to rationalize the denominator we multiply the numerator and the denominator by the denominator, but with the opposite sign.

For example - in the first question we multiplied 1 and √7 - √11 by √7 + √11 .

Answer:

6 bags

Step-by-step explanation:

This problem is essentially asking how many ([tex]\frac{2}{3}[/tex]) peanut bags can one fill with ([tex]4[/tex]) pounds of peanuts. This problem can be solved by divided ([tex]4[/tex]) by ([tex]\frac{2}{3}[/tex]). Set up the problem,

[tex]4[/tex] ÷ [tex]\frac{2}{3}[/tex]

In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).

[tex]4 * \frac{3}{2}[/tex]

Multiply,

[tex]\frac{12}{2}[/tex]

Simplify,

[tex]6[/tex]

Answer:

[tex] \frac{9}{\pi} = 4 \times \pi \times {r}^{2} \\ {r}^{2} = \frac{9}{4 {\pi}^{2} } \\ r = \frac{3}{2\pi} \\ volume = \frac{4}{3} \times \pi \times {r}^{3} \\ v = \frac{4}{3} \times \pi \times \frac{27}{8 {\pi}^{3} } \\ v = \frac{9}{2 {\pi}^{2} } [/tex]

The correct answer is 84%

The phone battery lasts at least 4 hours and 45 minutes is 84%.

A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

For the given situation,

The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.

50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.

The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.

So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.

Thus, the probability that the battery lasts at least 4 hours and 45 minutes,

⇒ [tex]50+34[/tex]

⇒ [tex]84[/tex]

Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.

Learn more about the normal distribution here

https://brainly.com/question/12707049

#SPJ2

Answer:

I think A ................

9514 1404 393

Answer:

  (-7, -11)

Step-by-step explanation:

  [tex]\dfrac{x^2+3x-28}{x+7}=\dfrac{(x+7)(x-4)}{x+7}=x-4\qquad x\ne-7[/tex]

The hole is at x=-7. The left- and right-limits at that point are -7-4 = -11. So, the coordinates of the hole are (-7, -11).

It is c i did it oh khan

(pls branliest)

Answer:

number 1 the outliers....................

Answer:  B) The distribution is symmetric

Explanation:

The center of the distribution is the highest point. As you move to the left or right, the heights of each bar steadily decrease. Notice that the right hand side is a mirror copy of the left hand side. This mirroring is exactly what it means to be symmetric. If we had outliers, then we'd have bars that are further away from the main group, but we don't have such a thing happening here.

If the distribution was skewed left, or negatively skewed, then we'd have outliers that are smaller than the main group. On the other hand, if we had a skewed right (positively skewed) distribution, then we'd have outliers larger than the main group. We don't have any of these cases happening, so that's why the data isn't skewed in any way.

Answer: 21

Step-by-step explanation: at the bottom it said "Y-intercepts have an x value of 0." and when we look at the numbers, y is at 21 when x is at 0.

Answer:

sample mean

Step-by-step explanation:

Using the normal distribution and the central limit theorem, considering that this is a sample proportion, as we are dealing with percentages, it is found that there is a 0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The mean and the standard deviation of the sampling distribution of sample proportions are given by:

[tex]\mu = p = 0.55[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{100}} = 0.04975[/tex]

The probability of getting less than 50% Democrats in a random sample of size 100 is the p-value of Z when X = 0.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.5 - 0.55}{0.04975}[/tex]

[tex]Z = -1.01[/tex]

[tex]Z = -1.01[/tex] has a p-value of 0.1562.

0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Answer:

do it yourself

Step-by-step explanation:

djhdsaiwhjqaa

Answer:

2.5 feet

Step-by-step explanation:

Answer:

2.5 feet

Step-by-step explanation:

[tex] \frac{30}{12} = 2.5[/tex]

Answer:

son consonantes

guíate por esto.

La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonante.

Answer:

Joe jumped farther because 60in is greater than 58in

Step-by-step explanation:

First you need to convert 4ft 10in into just inches in order to compare distances:

there are 12in per foot so 4(12)= 48 add the 10 in =58in

Joe jumped 60in and Omar jumper 58in

Answer:

8 square units is the answer

Answer:

1.)  71 > 38    ║d.) >

2.)  21 < 62   ║g.) <

3.)  58 = 58  ║f.) =

4.)  14 ≤ 6     ║a.) False

5.)  13 ≤ 26   ║h.) True

6.)  25 < y    ║c.) 16

7.)  N = 6      ║e.) 6

8.)  P ≥ 16     ║b.) 50

Answer:

It's 3 I think

Make me brainly

Answer:

ML=6

Step-by-step explanation: because JM and ML are a same straight line that is intersected they are the same

Answer:

Step-by-step explanation:

11) strategy:  since they tell us. indirectly,  that the length of  JK is the same as LM then we can set those two equal, solve for X  and then.. when we have X we can figure out the lenght of JK  and LM and then just divide that by 2 go get PK  ( :0 Player Killer ???  no , not that PK)    

solve JK and LM

3x + 23 =9x-19

42 = 6x

7 = x

now that we know x = 7 plug it into either equation to come up with the length of JK or LM .  I'll pick JK just b/c it was 1st

3(7) + 23 = JK

21+23 = JK

44 = JK

now take half of 1/2*JK= 22  that is PK    ( are you sure that 's not player killer?)

PK = 22

12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB

9x-20 = 5x + 28

4x = 48

X = 12

9(12) -20 = BG

88 = BG

2*88 + AB

176 = AB

13) done

14)  strategy: find the angle at L,  and that will also be the arc of MK

copy and past the below helpful trig functions into your computer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy and past the above :

use which ever trig function you want , we have all the sides of the triangle, I'll use CAH

Cos(Ф) = 9/15

Ф = arcCos(9/15)

Ф = 53.13010°

arc MK = 53.13010°

15)   strategy:  arc JK is just 2 times MK

2*MK = 106.26020°

arc MK = 106.26020°

16) find arc JPK   strategy:  JPK is just the remaining part of a full circle of 360 - MK  = 253.7397°

arc JPK = 253.7397°