Using the Zscore principle, the probability of obtaining a score which will be 115 or higher is 0.15866
Given the Parameters :
Mean, μ = 100Standard deviation, σ = 15 Score, X ≥ 115Zscore = (X - μ) ÷ σ
Zscore = (115 - 100) ÷ 15
Zscore = 1
Using a normal distribution probability ;
P(Z ≥ 1) = 1 - P(Z ≤ 1)
P(Z ≥ 1) = 1 - 0.84134
P(Z ≥ 1) = 0.15866
Therefore, the probability is 0.15866
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La suma de cuatro números consecutivos es 938 cuál es el valor del número menor
De acuerdo con los cálculos realizados en el presente desarrollo, el valor del número menor es 233.
Dado que la suma de cuatro números consecutivos es 938, para determinar cuál es el valor del número menor se debe realizar el siguiente cálculo:
X + X + 1 + X + 2 + X + 3 = 9384X + 6 = 9384X = 938 - 6X = 932 / 4X = 233233 + 234 + 235 + 236 = 938Por lo tanto, el valor del número menor es 233.
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Your fundraising group earns 25c for each lemonade and
50c for each tạco sold. One hundred tacos are sold. Your total profit is $100.
How many levonades are sold? Write an equation that models this situation.
Solve the equation using mental math.
Answer:
The answer is 100$ worth of lemonades
Step-by-step explanation:
Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.
Which is the graph of the following equation?
Square root of x = 4
Answer:
A
Step-by-step explanation:
because 2 times 2 equals 4 and the square root just means what times itself equals this
If Carol pays $62.90 to fill the 17-gallon gas tank in her vehicle and she can drive 330
miles on one tank of gas, about how much does she pay per mile to drive her vehicle?
Answer:
Step-by-step explanation:10
Two lines are _______ if and only if they lie in the same plane and intersect at right angles.
Answer:
I believe your answer to go in the blank should be bisectors. I hope this helps you! :)
$5.95-$2.29 explained step by step
Answer:
$3.66
Step-by-step explanation:
5.00-2.00 = 3.00
0.95-0.29 = 0.66
3.00 + 0.66 = $3.66 which is the answer
Ok,so:
We don’t need the $ sign now.
So.
1. 5.95 -2.29 which is 3.66!
5 - 2 is 3, and 0.95 - 0.29 is 0.66.
So now add :3 + 0.66 is 3.66
So $3.66!
Hope this helped!
Which property of equality would be used to solve 3x= 81?
O subtraction
O
addition
O multiplication
O
division
Answer:
divison
Step-by-step explanation:
3x=81
3x/3=81/3
Given y = a(x - h)^2 + k, p =
A. a
B. 4a
C. 1/4a
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Answer:
C. 1/(4a)
Step-by-step explanation:
We assume you're comparing the vertex form ...
y = a(x -h)^2 +k
to the form used to write the equation in terms of the focal distance p.
y = 1/(4p)(x -h)^2 +k
That comparison tells you ...
a = 1/(4p)
p = 1/(4a) . . . . . . multiply by p/a; matches choice C
__
Additional comment
When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).
When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:
[tex]p=\dfrac{1}{4a}[/tex]
Given that Cos(A) = .6 and csc(A) is -1.25, what is tan (a)
============================================================
Explanation:
cos(A) = 0.6 = 6/10 = 3/5
Recall that csc is the reciprocal of sine.
If csc(A) = -1.25, then sin(A) = 1/csc(A) = 1/(-1.25) = -0.8 = -8/10 = -4/5
Then we would have
tan(A) = sin(A)/cos(A)
tan(A) = sin(A) ÷ cos(A)
tan(A) = (-4/5) ÷ (3/5)
tan(A) = (-4/5) * (5/3)
tan(A) = -4/3
Answer:
-4/3
Step-by-step explanation:
Check the solution
Factor out the coefficient of the variable term.
4x - 20
Factored expression:
Answer:
[tex]4(x-5)[/tex]
Step-by-step explanation:
The expression 4x - 20 has the greatest common factor (GCF) of 4.
[tex]4x-20\\4(x-5)[/tex]
Therefore, the factored expression is 4(x - 5).
The coefficient of the variable for the expression 4x - 20 is found as 4.
What is defined as the coefficient of the variable?A coefficient is just an integer that is either written alongside or multiplied by a variable. A coefficient, in other words, is the numerical factor of the a term containing constants and variables. For example, the coefficient in the term 12x is 12.For the given question,
The expression is given as;
4x - 20
where,
4 is the coefficient of the variable of the expression.
-20 is the constant in the expression.
Thus, the coefficient of the variable is found as 4.
To know more about the coefficient of the variable, here
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What is the answer to these questions?
Answer:
The answer to the first question is: 9 4/21
The answer to the second question is: B.) 24 14/27
I hope this helps you! :D
Is -45.58 an integer
Answer: Yes
Step-by-step explanation: Because a integer is -45.58
Plz help I need help
Can someone explain this to me on how you do this by step from step?
Answer:
5% of $5.00
[tex] \frac{5}{100} \times 5.00[/tex]
[tex] = \frac{1}{4} [/tex]
graph the line with slope 2/3 passing through the point (5,2). I need a picture of where to put the lines
f(x) = 2x + 1
Graph 2f(x) - 3
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 2
x- intercept [tex](-\frac{1}{2}),0[/tex]
y-intercept: ( 0 , 1 )
Graph in pic
(Credit: M a t h w a y
<1 and <2 are complementary. Solve for the measure of <1.
<1 = 12x + 4
<2 = 9x + 2
A. 52
B. 4
C. 38
D. 8.3
Answer:
A) 52
Step-by-step explanation:
If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.
< 1 + < 2 = 90°
12x + 4 + 9x + 2 = 90°
21x + 6 = 90°
21x + 6 - 6 = 90° - 6
21x = 84°
21x/21 = 84°/21
x = 4
Substitute the value of x = 4 into < 1 and < 2:
m < 1: 12x + 4 = 12(4) + 4 = 52°
m < 2: 9x + 2 = 9(4) + 2 = 38°
Therefore, the correct answer is A) m < 1 = 52°.
Naomi is still not sure how many boxes of each type of candy to order. Her dad explains that he needs to do a little more mathematics before she can determine the best candy order. He creates a table to help her determine the solution.
He asks her to calculate how much money the band would make if she ordered 500 boxes of
each type of candy. He also asks her to calculate the profit on an order of 300 boxes of milk
chocolate and 500 boxes of dark chocolate. Determine both answers and show your work.
Answer:
how much does each box cost?
Step-by-step explanation:
Given m n, find the value of x and
y.
Answer:
look at the photo..................
James loves to run. This month he plans to run 25 times. If he runs 13 miles
each time he runs, how many total miles will James run? Write an equation and
then solve the problem,
Answer:
325
Step-by-step explanation:
All you have to do is 25 x 13
25 x 13 = 325
So he will run a total of 325 miles
David has one watermelon that weights 1867g. He splits it in half, and weights one half. That half weights 755g. How much does the other one weight?
Answer:
1112 grams
Step-by-step explanation:
1867-755=1112 g
Answer:
1112 grams.
Step-by-step explanation:
1867g - 755g = 1112 g
brainliest please. . . .
In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the interest rate get doubled and is now 0.004%. After, the 10th year it goes back to the original interest rate of 0.002% annually. If I check the amount I know have in total included my principal of $20.00, in the year of 2021. What would the total amount be of putting it there
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Answer:
$20.01
Step-by-step explanation:
In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...
(1.00002^17)(1.00004^1) = 1.00038006801
Then the account balance is ...
$20 × 1.00038006801 ≈ $20.01
_____
Additional comment
The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) only if there is no rounding in intervening years.
94.
The equation for the supply curve in the below diagram is approximately:
P
30
20
10++
IN
Q
0
20
40
60
80
100
A. P= 4+1,0
B. P= 4+20
C. P=4+39
D. P= 4.30
Answer:
are you cheating again?
Step-by-step explanation:
cuz I wanna know the answer too
Please answer will mark BRAINELIST!
Answer:
C
A
C
Step-by-step explanation:
this one as well please
Answer:
i need points
Step-by-step explanation:
i need points
Which of the following fractions is equivalent to 4/20? 2/6 8/16 1/2 3/6 5/10 7/11
Answer:
1/2
Step-by-step explanation:
HELP WILL GIVE BRANLIEST
The number 62 is less than the number of tickets sold in a day at an amusement park. Which of the following inequalities represents the number of tickets sold in a day at the park?
A.
x > 62
B.
x < 62
C.
x = 62
D.
x < 64
Answer:
A
Step-by-step explanation:
because > means more than the other number
In the construction, A is the center of one circle, and B is
the center of the other. Explain why segment EA is the
same length as segment BC.
The measure of angle CFD is The measure of angle CDF is The measure of angle AFB is The measure of angle BFD is The measure of angle ABC is
Answer:
∠CDF = 23° , ∠CFD = 115° , ∠AFB = 115° , ∠BFD = 65° , ∠ABC = 42°
Step-by-step explanation:
m∠CDF = 180 - m∠CDE
m∠CDF = 180 - 157
m∠CDF = 23°
m∠CFD = 180 - ( m∠DCF + m∠CDF )
m∠CFD = 180 - ( 42 + 23 )
m∠CFD = 115°
m∠AFB = m∠CFD (Vertically opposite angles)
m∠AFB = 115°
m∠BFD = 180 - m∠CFD
m∠BFD = 180 - 115
m∠BFD = 65°
∠ABC
Solution 1:
m∠ABC = m∠DCF (Alternate angles)
m∠ABC = 42°
Solution 2:
In ΔAFB
m∠FAB = m∠CDF (Alternate angles)
m∠FAB = 23°
m∠ABC = 180 - ( m∠AFB + m∠FAB )
m∠ABC = 180 - ( 115 + 23 )
m∠ABC = 42°