If GMAT scores for applicants at Oxnard Graduate School of Business are N(500, 50), then the top 5 percent of the applicants would have a score of at least (choose the nearest integer):

Here,

a+b=20

ab=50

we know that,

[tex]\tt{ (a+b)^2=a^2+b^2+2ab }[/tex] ⠀

According to the question,

[tex]\tt{(20)^2=a^2+b^2+2×50 }[/tex] ⠀

[tex]\tt{ 400=a^2+b^2+100 }[/tex] ⠀

[tex]\tt{ a^2+b^2=400-100 }[/tex] ⠀

[tex]\tt{a^2+b^2=300 }[/tex] ⠀

Answer:

      a² + b² = 300

Step-by-step explanation:

a + b = 20  ; ab = 50

(a +b)² = a²+ b² + 2ab

a² + b² + 2ab = (a + b)²

a² + b² + 2*50 = (20)²

a² + b² + 100 = 400

         a² + b² = 400 - 100

        a² + b² = 300

Answer:

Step-by-step explanation:

Word problem is a topic in mathematics that involves the interpretation of a given question with a mathematical expression so as to determine the value of the required variable.

Example: The price of a pencil is $10, and that of a ruler is $15.25. If Charles bought 5 pencils and 4 rulers, calculate the total amount of money spent.

price of a pencil = $10

price of a ruler = $15.25

Then,

cost of 5 pencils = $10 x 5

                            = $50

cost of 4 rulers = $15.25 x 4

                         = $61

Total amount of money spent by Charles = $50 + $61

                              = $111

The total amount of money spent by Charles is $111.

Answer:14.9129

Step-by-step explanation:

Answer:

hmmm sorry i dont really know

Answer:

Slop is 3/4

Step-by-step explanation:

3x - 4y - 16 = 0

- 4y = -3 x + 16

y= ( -3 / -4 ) x + 16 / ( -4 )

y= (3/4) x - 4

Answer:

2x-3y+z

Step-by-step explanation:

-2x-y-2z+4x-2y+3z

combine like terms

-2x+4x= 2x

-y-2y= -3y

-2z+3z= z

so..

2x-3y+z

Answer:

$22.50

Step-by-step explanation:

So if each topping cost 2.50 then just multiply by 9

Answer:

28/7

Step-by-step explanation:

Answer:

m=-18

Step-by-step explanation:

6m=-108

m=-108/6

m=-18

Answer:

okay so the answer is -18

Answer:

a) The slope (m) of the equation y = x - 5 is 1 and the y-intercept (b) is -5.

b) The slope (m) of the equation 2x + y = 4 is -2 and the y-intercept (b) is 4.

Answer:

The slope = 5

y intercept = 0,0

Explanation:

Use the slope-intercept form

Use the slope-intercept form

y = m x + b to find the slope m and y-intercept b.

Graph:

Answer:

Per mile Chau takes 5.8 minutes per mile.

Step-by-step explanation:

To find this answer you would have to do the amount of time divided by the amount of miles. Always remember when dividing time most of the time goes first unless the problem / instructions say differently. So, when you do 50 divided by 10 you will get 5.8. So, Chau takes 5.8 minutes per mile.

Answer:

[tex]6x^{2} -9x+3[/tex]

Step-by-step explanation:

[tex](3x-3) (2x-1)[/tex]

[tex]3x (2x-1)-3(2x-1)[/tex]

[tex]6x^{2} -3x-6x+3[/tex]

[tex]6x^{2} -9x+3[/tex]

Answer:

√(27/4) = 2.6

=> a.neartest integer: 2

   b.nearest tenth: 6

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Trigonometric functions are functions used in right angled triangles to relate an angle in the triangle to the ratio of two side. The most common trigonometric functions are the sine, the cosine, and the tangent.

Some trigonometric identities are:

secθ = 1/ cosθ, cosecθ = 1 / sinθ, tanθ = sinθ / cosθ, cotθ = 1 / tanθ = cosθ / sinθ.

Hence simplifying the question:

[tex]\frac{sin\theta}{cos\theta tan\theta} =\frac{sin\theta}{cos\theta *\frac{sin\theta}{cos\theta} }\\\\=\frac{sin\theta}{sin\theta}\\\\=1[/tex]

Answer:

Hi! The answer is A hope I helped

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

Answer:

45+3.x

Step-by-step explanation:

Each person gets a haircut --> 3.15= 45

Answer:

[tex] - \frac{1}{5 \sqrt{y} } [/tex]

Answer:

option 1

Step-by-step explanation:

[tex]\sqrt{y} =y^{\frac{1}{2}}\\\\(\frac{1}{\sqrt{y} })^{\frac{-1}{5}} =(\frac{1}{y^{\frac{1}{2}}})^{\frac{-1}{5}}\\\\= (y^{\frac{-1}{2}})^{\frac{-1}{5}}\\\\=y^{\frac{-1}{2}*\frac{-1}{5}}\\\\= y^{\frac{1}{10}}\\\\=\sqrt[10]{y}[/tex]

Answer:

Step-by-step explanation:

  5

3  _

    18

Answer:

43

Step-by-step explanation:

PEMDAS 19 times 2 is 38 plus 5 equals 43

Answer:

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

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

In this question, we have that:

[tex]\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2[/tex]

What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?

This is the pvalue of Z when [tex]X = 260[/tex]. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{260 - 270}{21.2}[/tex]

[tex]Z = -0.47[/tex]

[tex]Z = -0.47[/tex] has a pvalue of 0.3192.

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Answer:

6^22

Step-by-step explanation:

15-(-7) = 22

6^22

Answer:

1679616

Step-by-step explanation:

Answer:

The answer is 36

Step-by-step explanation:

so the "sum" means to add all of the terms: 1^3+2^3+3^3

1^3 is simply 1

2^3 means 8

3^3 means 27

so, from there, you just add all of those terms: 1 + 8 + 27 = 36

Answer:

No, he does not have enough money to buy the grapes because he only has 15$ when in total the the grapes are $28.35.

Step-by-step explanation:

9514 1404 393

Answer:

  $281.40

Step-by-step explanation:

A financial calculator tells you the payment for the 18-month loan is $361.46, so her total payback amount is $6506.28.

Similarly, the payment for the 24-month loan is $282.82, and the total amount repaid is 6787.68.

The shorter-term loan costs less by ...

  $6787.68 -6506.28 = $281.40

Ann can save $281.40 by choosing the shorter-term loan.

Answer:

B 12.375 is the answer

Step-by-step explanation:

Key skills needed: Fraction to Decimal Conversion

1) The mixed number that is in the question is --> [tex]12\frac{3}{8}[/tex]

2) We need to find 12 and 3/8 as a decimal.

[tex]12\frac{3}{8}= 12 + \frac{3}{8}[/tex]

This means it would be 12."something"

We need to find out what [tex]\frac{3}{8}[/tex] as a decimal is.

3) To do this, we do 3 ÷ 8 (to find the decimal form of a fraction, you do the numerator divided by the denominator).

4) Check the image I posted to see how I did 3 ÷ 8.

5) Well based on the division, 3 divided by 8 is 0.375

This means that [tex]12 + \frac{3}{8} = 12 + 0.375 = 12.375[/tex]

Therefore 12.375 is your answer

Hope you understood and have a nice day!! :D

Answer:

90 degrees.

Step-by-step explanation:

Rotate it on Geogebra.