Answer:
The value is [tex]P( 390 < X < 590) = 68.3 \%[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 490[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as
[tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]
=> [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1 and -1 is
[tex]P(Z< 1 ) = 0.84134[/tex]
and
[tex]P(Z< - 1 ) = 0.15866[/tex]
[tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]
=> [tex]P( 390 < X < 590) = 0.6827[/tex]
Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as
=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]
=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]
Simplify the expression using the properties of operations.
The simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39) is
Answer:
Step-by-step explanation:
5.23x+3.76-3.67x+6.39
x(5.23-3.67) +(3.76+6.39)
1.56x + 10.15
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
help will brainlist...
Answer:
1)
a. $6
b.$10
c. 2x
d. $3
e. $9
f. 2y
g. $22
h. $21.5
i. 2x + 1.5y
2)
a. 2x + 1.5y = 22
b. You could buy 2 tickets and 12 snacks
Step-by-step explanation:
at 6:00 PM it’s 24°F at midnight the temperature was 636°F lower than Apple what will the temperature at midnight
Answer:
A)12 F.
Step-by-step explanation:
A dolphin is 13 feet below sea level. A seagull is 3 feet above sea level.
. Write an integer for the position of each animal relative to sea level.
If David plays 3 tennis matches every week for 9 weeks,
many matches will he play altogether
Answer:
27
Step-by-step explanation:
3*9=27
hope this helps :3
if it did pls mark brainliest
Answer:
He will have played 27 tennis matches
Step-by-step explanation:
I know he will have played 27 tennis matches because 3 tennis matches every week for 9 weeks that's 3x9 which equals 27.
The product of two positive numbers is 48. the larger number is 13 more than the smaller. Find both numbers [Only an algebraic solution will be accepted.]
Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
A submarine dives below the surface, heading downward in nine moves. If each move downward was 180
feet where is the submarine after it is finished diving?
The submarine would be blank
feet below sea level, or blank
feet.
Please for the love of god anwser my question lay correctly I really need your help :( I will give 25 points :)! This is geometry
Answer: x=8
for every 5 there is 2
so for x=8
there are four 5's in 20
I hope this is good enough:
Answer:
x = 8
Step-by-step explanation:
I can confirm this is right I took test
Mike and Krista rent a jet ski while on vacation. The rental cost is represented by the function c(h) = 50 + 20h, where h is the number of hours of use
and c(h) is the total cost for h hours of use. How much does the jet ski cost if they use it for 4 hours?
O $54
$80
. $130
$200
Answer:
130$
Step-by-step explanation:
put 4 instead of the h
50+4.20
50+80
130
How do you do these two questions?
Answer:
(x − π)⁷ / 5040
(x − 1)³ / 16
Step-by-step explanation:
Taylor series expansion of a function is:
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ
where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.
For the first problem, f(x) = sin x and x₀ = π. We want the seventh degree term, so n = 7.
The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷
Find the seventh derivative of sin x:
f(x) = sin x
f⁽¹⁾(x) = cos x
f⁽²⁾(x) = -sin x
f⁽³⁾(x) = -cos x
f⁽⁴⁾(x) = sin x
f⁽⁵⁾(x) = cos x
f⁽⁶⁾(x) = -sin x
f⁽⁷⁾(x) = -cos x
Evaluated at π, f⁽⁷⁾(x) = 1. So the seventh degree term is (x − π)⁷ / 5040.
For the second problem, f(x) = √x and x₀ = 1. We want the third degree term, so n = 3.
The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³
Find the third derivative of √x:
f(x) = √x
f⁽¹⁾(x) = ½ x^-½
f⁽²⁾(x) = -¼ x^-³/₂
f⁽³⁾(x) = ⅜ x^-⁵/₂
Evaluated at 1, f⁽³⁾(x) = ⅜. So the third degree term is (x − 1)³ / 16.
What is the probability that a random sample of 17 pregnancies has a mean gestation period within 9 days of the mean?( length of pregnancies of a certain animal are approximately normally distributed with mean of 295 days and standard deviation of 15 days)
Answer:
0.9864
Step-by-step explanation:
The average sample mean is 295, and the standard deviation is:
σ = 15 / √17
σ = 3.64
The z-scores are:
z = (x − μ) / σ
z₁ = (-9) / 3.64
z₁ = -2.47
z₂ = (9) / 3.64
z₂ = 2.47
So the probability is:
P(-2.47 < Z < 2.47) = P(Z < 2.47) − P(Z < -2.47)
P(-2.47 < Z < 2.47) = 0.9932 − 0.0068
P(-2.47 < Z < 2.47) = 0.9864
Using the normal distribution and the central limit theorem, it is found that there is a 0.9864 = 98.64% probability that a random sample of 17 pregnancies has a mean gestation period within 9 days of the mean.
In a normal distribution with mean and standard deviation , 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.For a sample of size n, by the Central Limit Theorem, the standard deviation is given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]In this problem:
Mean of 295 days, thus [tex]\mu = 295[/tex].Standard deviation of 15 days, thus [tex]\sigma = 15[/tex].Sample of 17 pregnancies, thus [tex]n = 17, s = \frac{15}{\sqrt{17}}[/tex].Gestation period within 9 days of the mean is between 286 and 304 days, and the probability is the p-value of Z when X = 304 subtracted by the p-value of Z when X = 286.
X = 304:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{304 - 295}{\frac{15}{\sqrt{17}}}[/tex]
[tex]Z = 2.47[/tex]
[tex]Z = 2.47[/tex] has a p-value of 0.9932
X = 286:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{286 - 295}{\frac{15}{\sqrt{17}}}[/tex]
[tex]Z = -2.47[/tex]
[tex]Z = -2.47[/tex] has a p-value of 0.0068
0.9932 - 0.0068 = 0.9864.
0.9864 = 98.64% probability that a random sample of 17 pregnancies has a mean gestation period within 9 days of the mean.
A similar problem is given at https://brainly.com/question/24663213
HELP PLEASE the second one is a match question
Answer:
1)Coefficient
2)Dividend
3) Quotient
Step-by-step explanation:
Let f(x) be defined for any positive integer x greater than 2 as the sum of all prime numbers less than x. For example, f(4)=2+3=5 and f(8)=2+3+5+7=17. What is the value of f(86)−f(82)?
(A) 3 (B) 4 (C) 47 (D) 59 (E) 83
The answer is not B pls remember this
Answer:
E
Step-by-step explanation:
RSM proves correct
The value of a given function is required.
So, the answer is (E)83.
The given function [tex]f(x)[/tex] is the sum of all prime numbers less than [tex]x[/tex].
The required function is [tex]f(86)-f(82)[/tex]
[tex]f(86)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83[/tex]
[tex]f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79[/tex]
[tex]f(86)-f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83-(2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79)=83[/tex]
All numbers become get subtracted except for 83.
So, the answer is (E)83.
Learn more:
https://brainly.com/question/15735373
https://brainly.com/question/4450173
The value of the 8 in 89.945 is how many times rhe value of the 8 in 763.186
Answer:
1000x
Step-by-step explanation:
Jessica is planning a trip to South Africa. The following table shows some of her planned expenses for this trip, and
whether these expenses are in US dollars ($) or South African rands (R).
Item
Cost
Currency
R
Guide book
Walking shoes
Passport
Car rental
Plane ticket
Hotel reservation
216.41
702.33
71.75
996.78
3,741.85
138.10
R
$
R
R
$
If the exchange rate of US dollars to South African rands is 1:7.4094, what is the current total of Jessica's budget, in US
dollars? Round all currencies to two decimal places.
a $763.54
b. $791.86
$973.39
d. $1.001.71
C.
Answer:
C $973.39
Step-by-step explanation:
the answer is C on e2020
Answer:
✅ C. $973.39⬇⬇⬇
Which investment data is best modeled by an exponential function?
Answer:
Answer is C.
Step-by-step explanation:
Please like and mark brainliest, thanks :)
Exponential functions are functions that increases geometrically. The correct graph that model the investment is the Graph C
Exponential graphExponential functions are functions that increases geometrically. The standard exponential function is expressed as y = ab^x
The correct graph must represents a curve that increases steadily. From the given graph, the correct graph that model the investment is the Graph C
Learn more on exponential graph here: https://brainly.com/question/2456547
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dinners frequently add a 15% tip when charging a meal to a credit card. what is the price of the meal without the tip amount charged is $18.40? how much was the tip?
Answer:
Step-by-step explanation:
Let
'x' the price of the meal
15% of x or 0.15x is the tip
x + 0.15x = 20.70
1.15x = 20.70 divide both sides by 1.15
x = 20.70/1.15
x = $18
0.15*18 = $2.70
The price of the meal without the tip is $18.
The tip was $2.70.
The pair of polygons is similar. Find the value of x.
A. 2.5 in.
B. 5 in.
C. 35 in.
D. 40 in.
Answer: 40
60÷15=4
10×4=40
I hope this is good enough:
A researcher wants to test the relationship between SAT scores and high school GPA. What statistic should be used
Answer: Pearson correlation statistic
Step-by-step explanation:
The Pearson Correlation statistic is used to measure linear association. It simply measures the statistical relationship that exists between two variables that are continuous. Information about both the magnitude and the direction are being provided by the Pearson Correlation statistic.
Since both the SAT scores and the high school GPA has to do with numbers, we are going to use Pearson correlation statistic. Spearman correlation are used for ranking.
A sofa regularly sells for $710. The sale price is $553.80. Find the percent decrease of the sale price from the regular price.
Given:
A sofa regularly sells for $710.
The sale price is $553.80.
To find:
The percent decrease of the sale price from the regular price.
Solution:
We have,
[tex]Decrease\%=\dfrac{\text{Regular price - Sale price}}{\text{Regular price}}\times 100[/tex]
[tex]Decrease\%=\dfrac{710-553.80}{710}\times 100[/tex]
[tex]Decrease\%=\dfrac{156.2}{710}\times 100[/tex]
[tex]Decrease\%=0.22 \times 100[/tex]
[tex]Decrease\%=22\%[/tex]
Therefore, the percent decrease of the sale price from the regular price is 22%.
0 2:5 = 1:25
05:8= 20m
Select the correct answer.
Identify the end behavior and the zeros of function h.
h(x) = –13 – 9x2 + 41 +96
Based on these key features, which statement is true about the graph representing function h?
A. The graph is negative on the intervals (-00, -8) and (-4, 3).
B. The graph is positive on the intervals (-8, –4) and (3, 0).
C. The graph is positive on the intervals (-0, —8)and (-4, 3).
D. The graph is negative on the intervals (-3, 4) and (8,00).
Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)
Step-by-step explanation: I guessed on my test and got it right. PLATO
Can someone please help me with this I will mark Brainly to whoever does
Answer:
Try A
Step-by-step explanation:
I did it myself, and the first one I did, which was A, all had the same slope, so I think it is A.
ANSWER QUICK PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
case a) y=1/3x+8
case b) y=-3x+28
Step-by-step explanation:
case a)
parallel lines has the same slope, then, the searched line has the form:
[tex]y=\frac{1}{3} x +b[/tex]
Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has
[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]
Then, the line equation is y=1/3x+8
case b)
the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is
[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]
Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,
[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]
Hence, the searced equation is y=-3x+28
which of the ordered pairs is a solution of 2x-5y <8
(2,-5)
(1,-2)
(-2,-5)
(0,-3)
(5,0)
# 5
Write an equation in slope-intercept
form to represent the line parallel to
9x + 3y = 8 passing through the point
(-1,-4).
y = -3x - 1
y = -3x - 7
y = 1/3x + 1/3
y = 1/3X -4
Answer:
y = -3x - 1
Step-by-step explanation:
it is the only line that passes through the point (-1, -4)
Determine the circumference of a circle with a radius of 4 inches.
Answer:
c=2pi times r
c= 2 times pi times 4
c=25.1327
c= 25.13
anybody understand this ? please help me .
Answer:its a or b
Step-by-step explanatio
Answer:
The answer is (2)
Step-by-step explanation:
We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].
QUICK HELP
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1, 그 , ,
1
3
0
13
03
Answer:
the common ratio is
1/3
because
9*1/3=3
3*1/3=1
1*1/3=1/3
...
The common ratio is 1/3.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
The given sequence is
27, 9, 3, 1, 1/3, 1/9 and so on....
Since we know that
Common ratio (r) = Second term/First term
Therefore,
r = 9/27 = 3/9 ....
So, The answer will be 1/3.
Learn more about the ratio visit:
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-4x+6y=-7
-13x-2y=-4
Elimination or substitution
Answer:
substitution
Step-by-step explanation:
