1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
umka21 [38]
3 years ago
9

Consider a set of 7500 scores on a national test whose score is known to be distributed normally with a mean of 510 and a standa

rd deviation of 85. About how many scores greater than 600 would we expect to find?
Mathematics
1 answer:
german3 years ago
5 0
\mathbb P(X>600)=\mathbb P\left(\dfrac{X-510}{85}>\dfrac{600-510}{85}\right)=\mathbb P(Z>1.059)\approx0.145

So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see 0.145\times7500\approx10.86 scores above 600.
You might be interested in
Use the factor theorem to determine whether or not the first polynomial is a factor of the second
krok68 [10]

Answer/Step-by-step explanation:

Based on the factor theorem, a polynomial, x - a, is said to be a factor of another polynomial, f(x), if an only if f(a) = 0.

Using this theorem, let's determine whether each of the given first polynomial, is a factor of the second polynomial.

1. x - 1; x² + 2x + 5

By the factor theorem, x - 1 will be a factor of f(x) = x² + 2x + 5, if and only if f(1) = 0.

f(1) = 1² + 2(1) + 5

= 1 + 2 + 5

= 8

Since f(1) ≠ 0, therefore the first polynomial, x - 1, is NOT a factor of the second polynomial, x² + 2x + 5.

2. x + 1; x³ - x - 2

By the factor theorem, x + 1 will be a factor of f(x) = x³ - x - 2, if and only if f(-1) = 0.

f(1) = -1³ - (-1) - 2

= -1 + 1 - 2

= -2

Since f(-1) ≠ 0, therefore the first polynomial, x + 1, is NOT a factor of the second polynomial, x³ - x - 2.

3. x - 4; 2x³ - 9x² + 9x - 20

By the factor theorem, x - 4 will be a factor of f(x) = 2x³ - 9x² + 9x - 20, if and only if f(4) = 0.

f(4) = 2(4)³ - 9(4)² + 9(4) - 20

= 128 - 144 + 36 - 20

= 0

Since f(4) = 0, therefore the first polynomial, x + 4, is a factor of the second polynomial, 2x³ - 9x² + 9x - 20.

4. a - 1; a³ - 2a² + a - 2

By the factor theorem, a - 1 will be a factor of f(a) = a³ - 2a² + a - 2, if and only if f(1) = 0.

f(1) = 1³ - 2(1)² + 1 - 2

= 1 - 2 + 1 - 2

= -2

Since f(1) ≠ 0, therefore the first polynomial, a - 1, is NOT a factor of the second polynomial, a³ - 2a² + a - 2.

5. y + 3; 2y³ + y² - 13y + 6

By the factor theorem, y + 3 will be a factor of f(y) = 2y³ + y² - 13y + 6, if and only if f(-3) = 0.

f(-3) = 2(-3)³ + (-3)² - 13(-3) + 6

= -54 + 9 + 39 + 6

= 0

Since f(-3) = 0, therefore the first polynomial, y + 3, is a factor of the second polynomial, 2y³ + y² - 13y + 6.

7 0
3 years ago
Round to nearest tenth
Goshia [24]

Answer:

Step-by-step explanation:

this is exactly the same as the 1st one,  just  they put it in a different orientation.   sooo use law of cosines , where

QR = c

a = 12

b = 23

cos(120) = cos (P)

c = sq rt [ a^2+b^2﹣2*a*b*cos(P) ]

QR = sq rt [ 12^2 + 23^2 - 2* 12*23*cos(120) ]

QR = sq rt [ 144 + 529 - 552 * (-0.5 0 ]

QR = sq rt [ 673 + 276 ]

QR = sq rt [ 949 ]

QR = 30.8058

rounded to nearest 10th is

QR = 30.8  :)

6 0
2 years ago
Help!!!!! No weird answers pls
Papessa [141]

open the parenthes. and then after that you'll get 27+12x-15. if you simplify that then you'll get 12x+12

7 0
3 years ago
Read 2 more answers
At a hockey game, a vendor sold a combined total of 148 sodas and hot dogs. The number of sodas sold was three times the number
AleksandrR [38]

Answer:

37 hot dogs and 111 sodas

Step-by-step explanation:

148 divided by 4= 37

148 - 37= 111

if the number of sodas was three times it would have to be broken up into three groups making the hot dogs 37 and sodas three times the amout would be 111. hope this helped sorry for any spelling mistakes

3 0
2 years ago
Read 2 more answers
Monica measures 91 milliliters of water into 9 tiny beakers. she measures an equal amount of water into the first 8 beakers. she
UkoKoshka [18]
To determine the amount of water in the first 8 beakers, you will subtract the 19 ml that are in the 9th beaker from the total to see how much water was actually put into the first 8 beakers.

91 ml - 19 ml = 72 ml.

The 72 ml are divided evenly between 8 beakers.

72/8 = 9 ml

There would be 9 ml of water in each of the first 8 beakers.
8 0
3 years ago
Other questions:
  • What’s the surface area of this cylinder radius 8 height 16
    5·2 answers
  • How to you turn a fraction into a decimal
    12·2 answers
  • The triangles are congruent by the SSS congruence theorem. Which transformation(s) can map BCD onto WXY? rotation only reflectio
    13·2 answers
  • Help pls I will give brainliest
    9·2 answers
  • Jenson is picking out what to wear to school. He has three clean T-shirts: one white, one red, and one orange. He also has two c
    12·1 answer
  • Kaitien paid $71.50 for 5 movies tickets. What was the price of each ticket?
    12·1 answer
  • Find the measure of b+d.
    7·2 answers
  • 24 N of force is applied to stop a 12 kg bowling ball. What is the acceleration on the ball?
    6·1 answer
  • Mark has 5 more pencils than Bill. If Mark has m amount of pencils, which expression gives the number of pencils Bill has?
    11·1 answer
  • Find the value of x.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!