Answer:
If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.
Step-by-step explanation:
On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for the population is normal with a population mean of 76.28 and a population standard deviation of 7.02.
What percentage of people received a higher score than Jose?
Using the normal distribution, it is found that 6.3% of people received a higher score than Jose.
Normal Probability DistributionIn 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]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 76.28, \sigma = 7.02[/tex].
The proportion of people who received a higher score than Jose is one subtracted by the p-value of Z when X = 87, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{87 - 76.28}{7.02}[/tex]
[tex]Z = 1.53[/tex]
[tex]Z = 1.53[/tex] has a p-value of 0.937.
1 - 0.937 = 0.063.
6.3% of people received a higher score than Jose.
More can be learned about the the normal distribution at https://brainly.com/question/24663213
Ms. Kim has 1 full class plus 8 extra students going on the field trip. if she has 40 students going on the field trip, how many students are there in her full class?
Answer:
32 students
Step-by-step explanation:
what is [tex]\frac{w}{3}[/tex] + [tex]\frac{5}{6}[/tex] = [tex]\frac{1}{12}[/tex]
my answer was w = - [tex]\frac{9}{4}[/tex]
6.1/5(12b+5) for b = 5/6
Answer:
Step-by-step explanation:
6.1 / 5 ( 12b + 5 )
b = 5/6
by substituting,
6.1 / 5 ( 12 × 5/6 + 5 )
1.22 × 15
= 18.3
Hope this helps
plz mark as brainliest!!!!!!!
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A set of high school student heights are normally distributed with a mean of 161 centimeters and a standard deviation of 15 centimeters. Mikio is a high school student with a height of 191 centimeters. What proportion of student heights are higher than Mikio's height?
Answer:
0.0228
Step-by-step explanation:
Trust <3 like fr I just did it on Khan
If = 14,700,-473,4644,84 . Then, Z is what
The equation is an illustration of the subtraction equation
The value of z in the equation is -473449784
What are equations?Equations are expressions that have equal values, when compared
How to determine the value of z?The equation to determine the value of z is given as:
z = 14,700,-473,4644,84
Evaluate the difference
z = -473449784
Hence, the value of z in the equation is -473449784
Read more about equations at:
https://brainly.com/question/2972832
which choices are correctly written in a scientific notation ? select the four correct answers
Answer:
34
Step-by-step explanation:
Answer:B,D,F,G
Step-by-step explanation:
Your younger sibling can run 3/8 of a mile in 1/8 of an hour. How long will it take him to run one mile? How far could he run in one hour?
9514 1404 393
Answer:
1/3 hour per mile3 miles per hourStep-by-step explanation:
Time per mile can be found by dividing hours by miles:
(1/8 h)/(3/8 mi) = 1/3 h/mi
It will take him 1/3 hour to run 1 mile.
__
Miles per hour can be found by dividing miles by hours (or by finding the reciprocal of the above value):
(3/8 mi)/(1/8 h) = 3/1 mi/h = 3 mi/h
He could run 3 miles in one hour.
what is the y-intercept of f(x)=(1/3)^x
Answer:
1.
Step-by-step explanation:
To find the y-intercept of an equation, you substitute 0 for x in the function.
f(x)=(1/3)^x
f(x)=(1/3)^(0)
f(x)=1
Find the sum. Enter your answer in the box.
3 + (–4)
Answer:
the answer is -1
Step-by-step explanation:
Answer:
The answer is -1
Step-by-step explanation:
If you have 3 and you take away 4, so you end up with a negative number. or what you can do is also just flip the numbers around so subtract 4 minus 3 and put a negative sign when the first number is less than the second one!!
Hope this helps!!!!
Reflection of point P (3,-1) over the line y=x is
Answer:
(-3,-1)
Step-by-step explanation:
Given the polynomial, f(x)= x³ + kx² - 2x + 1, and that f(x) is divided x-k the remainder is k, find the possible values of k.
Answer:
k=1
Step-by-step explanation:
According to the remainder Theorem, if we have a polynomial then if it divided by (x-a), the remained will be equal to
[tex]f(a)[/tex]
So we know that the factor is
[tex](x - k)[/tex]
So plug in k into the polynomial
[tex]f(k) = k {}^{3} + k(k) {}^{2} - 2(k) + 1 = k[/tex]
[tex]k {}^{3} + k {}^{3} - 2k + 1 = k[/tex]
[tex]2k {}^{3} - 3k + 1 = 0[/tex]
Solve for k.
Using Rational Roots Theorem, one possible root is 1 so we have
[tex]2k {}^{2} + 2k - 1 = 0[/tex]
Since that is irreducible over reals, 1 is our only factor so k=1.
436 +2312 leaving your answer in base 4 and 8728-3456 leaving your answer in base 9
Whats the height of the rectangular prism
Answer:
length l = 32.25 m
width w = 8223.75 m
height h = 12.5 m
diagonal d = 8223.82273 m
total surface area Stot = 736831.875 m2
lateral surface area Slat = 206400 m2
top surface area Stop = 265215.938 m2
bottom surface area Sbot = 265215.938 m2
volume V = 3315199.22 m3
Step-by-step explanation:
The weight of an object on Planet X is twice that of its weight on Earth and one third of its weight on Planet Y. If an object on Earth weighs 100 units, what is its weight on Planet Y?
Answer:
33.3333333333
Step-by-step explanation:
100 divided 1/3 = 33.3333333333
hope it helped
WILL GIVE BRAINLIEST(If it helps me) SO PLEASE HELP
A weight loss organization has a new member who weighs 210 pounds. After 6
months the member hopes to weigh 162 pounds.
a. Write a linear model that represents the member's weight loss goal.
b. According to the linear model, how much should the member weight after 9
months?
c. What is the slope of this function? What does the slope represent in this scenario?
Answer:
Our calorie calculator will tell you how many calories you ... If you would like to lose or gain weight, you can also enter ... Here is the backstory on the following fantastic ...
Step-by-step explanation:
make me as brain liest
A car rental company charges a daily rate of $41 plus $0.10 per mile for a certain car. Suppose that you rent that car tor a day and your bill (before taxes) is $86. How many miles did you drive?
Jocelyn and linda own a bakery. they had 388 custoners this week, 55 fewer than last week. write and algebraic equation for the number of customers they had last week (Let c be the number of costumers they had last week.)
Answer:
c - 55 = 338
Step-by-step explanation:
fifty-five fewer than the number last week is 338
c - 55 = 338
algebraic equation: c - 55= 338
Hope it helps!!!Brainliest pls!!!If t < s and s < r, what is the relationship between the values t and r?
Answer:
r is much larger compared to t.
r is much larger compared to the largness of s to r.
Step-by-step explanation:
What type of decimal is this fraction: 11/20
1.Group of answer choices
2.repeating
3.neither
4.both
5.terminating
Answer:
I think the answer is repeating because it'd be
0.55
Help help help help
Answer:
c; infinite solutions
Step-by-step explanation:
to solve this system of equations you can use elimination
you can divide all of the top by 2
you get
3x + y = 6
and then
-3x - y = -6
but then when you subtract them you get 0 = 0
this means it is infinite solutions
another way to tell that it is infinite solutions is by seeing if the equations are the same
-3x - y = -6 is just 3x + y = 6 but everything is multiplied by -1
Answer:
INFINITE SOLUTIONS
Step-by-step explanation:
So let's solve this system using elimination
we can convert the second equation to
-6x-2y = -12
6x+2y = 12
if we add these to equations we get 0 = 0
therefore, there are infinite solutions to this system
∠A and ∠B are complementary. The measure of ∠A is 21°.
What is the measure of ∠B?
Enter your answer in the box.
<B be y
We know that complementary angles have sum 90°[tex]\\ \sf\longmapsto y+21=90[/tex]
[tex]\\ \sf\longmapsto y=90-21[/tex]
[tex]\\ \sf\longmapsto y=69°[/tex]
<A=69°
Answer:
The measure of ∠B is 69°
Step-by-step explanation:
Given :
=> ∠A + ∠B = 90°
=> 21° + ∠B = 90°
=> ∠B = 90°- 21°
=> ∠B = 69°
Jess is overseas and withdraws $150.00 from his account. His bank charges a foreign transaction fee of
$6.00, plus 2.5% when converting to the local currency. How much will his bank charge in fees?
Answer:
$9.75Step-by-step explanation:
Given
The sum taken = $150One off fee = $6Rate of conversion = 2.5%Total fees
6 + 150*0.025 = 6 + 3.75 = $9.75Answer:
$9.75
Step-by-step explanation:
Take the percentage off what he withdrew.
2.5% = 0.025
150 * 0.025 = 3.75
Add the transaction fee.
6 + 3.75 = $9.75
Best of Luck!
Write an equation of the line that passes through (0, 5) and (−1.5, 1).
Answer:
y = 2.667x + 5
3.6(5x4)divided 3+5.0=
Answer:
29 Hope this helps
Step-by-step explanation:
"Given expression is :
First we will simplify both numerator and denominator separately using order of operations. So....
Thus the expression.... "
-Sicista
joe has read 30% of a book. He has 56 more pages to finish. How many pages are there in the book?
Answer:
80 pages
Step-by-step explanation:
If Joe has read 30% and 56 pages is 70% of the book. We divide 56 by 7 and get 8 meaning that 10% of the book is 8. Once we know this we multiply 8 x 10 and get the amount of pages in the book 80
Answer:
There are 80 pages left.
Step-by-step explanation:
100% - 30% = 70%
70% = 56 pages
Insert x into a equation.
0.7x = 56
Multiply by 10 on both sides to get rid of the decimal.
0.7x = 56
· 10 ·10
Divide by 7 on both sides to get x by itself.
7x = 560
7
x = 80
Find the value of x in the figure below Assume that the lines are parallel
Answer: 15
Step-by-step explanation:
What's the exact area and the exact perimeter of square EFGH shown in the coordinate plane?
Using the distance between two points to find the length of the side of the square, it is found that:
The area is of 50 square units.The perimeter is of [tex]20\sqrt{2}[/tex] units.Hence, option A is correct.The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this problem, the length of the side of the square can be found as the distance between points G and H, that is, the distance between (0,5) and (-5,0), hence:
[tex]l = \sqrt{(0 - (-5))^2 + (5 - 0)^2} = \sqrt{50} = \sqrt{2 \times 25} = 5\sqrt{2}[/tex]
The area of a square of side length l is given by:
[tex]A = l^2[/tex]
Hence:
[tex]A = (5\sqrt{2})^2 = 50[/tex]
The area is of 50 square units.
The perimeter of a square of side length l is given by:
[tex]P = 4l[/tex]
Hence:
[tex]P = 4(5\sqrt{2}) = 20\sqrt{2}[/tex]
The perimeter is of [tex]20\sqrt{2}[/tex] units.
You can learn more about distance between two points at https://brainly.com/question/18345417
Answer:
IT'S A
Step-by-step explanation:
what is 1365in Egyptian numeral
Answer:
I used an Egyptian numeral converter.
Step-by-step explanation:
Enter the improper fraction as a mixed number.
32/9
Answer:
[tex]\3[/tex]3 [tex]\frac{5}{9}[/tex]
Step-by-step explanation: