The percentage of scores that are greater than 154 on the test is approximately 0.13%.
To find the percentage of scores that are greater than 154 on a test with a normal distribution, we can use the properties of the standard normal distribution.
First, we need to standardize the value of 154 by converting it into a z-score. The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the given value, μ is the mean, and σ is the standard deviation.
In this case, x = 154, μ = 109, and σ = 15.
Calculating the z-score:
z = (154 - 109) / 15
z = 45 / 15
z = 3
Now that we have the z-score, we can use a standard normal distribution table or a calculator to find the percentage of scores greater than 154.
Looking up the z-score of 3 in the standard normal distribution table, we find that the area to the left of z = 3 is approximately 0.9987.
Since we want to find the percentage of scores greater than 154, we subtract the area to the left from 1 to get the area to the right.
Area to the right = 1 - 0.9987 = 0.0013
Converting this to a percentage:
Percentage = 0.0013 * 100 = 0.13%
Therefore, approximately 0.13% of scores are greater than 154 on this test.
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A $40,000 was bought in 2010. The value is depreciating at a rate of 4.5%. How much is the car worth in 2020?
approximately 38,200..... i think ?
Whats the domain and range??
Answer:
Domain: 0 ≤ x ≤ 5
Range: 0 ≤ x ≤ 300
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that are outputted by function f(x).
We see that our x-values span from 0 to 5. Since both are closed dots, they are included in our domain:
[0, 5] or 0 ≤ x ≤ 5
We see that our y-values span from 0 to 300. Since both are closed dots, they are included in our range:
[0, 300] or 0 ≤ x ≤ 300
what is the equation of a line that passes through the point -(6,6) and has a slope of 1/3
Answer:
Step-by-step explanation:
y-y = m(x - x)
I couldn't tell if the point was negative, so I'll do both
Positive Negative
(6,6) m= 1/3 -(6,6) m= 1/3
y-6 = 1/3(x - 6) y+6 = 1/3(x +6)
y-6 = 1/3x - 2 y+6 = 1/3x + 2
y = 1/3x +4 y = 1/3x - 4
Identify the missing part of the reason for Statement 6 in the proof.
it's on the picture but please answer it because I don't know how
Answer:
I aso don't know yrr what can i do yrr
A + B/ C = D, Solve for B
Answer:
B = DC - A
Step-by-step explanation:
A + B / C = D Multiply C
A + B = CD Subtract A
B = CD - B
E is the midpoint of AB. If
AE = 4x +6 and EB = 10x - 12,
what is AB?
Answer:
36
Step-by-step explanation:
Since E is the midpoint, AE and EB are equal. We can write this as such,
4x+6=10x-12 if we solve from here we get 6x=18. Simplify to get x=3. sub in three for x in the AE equation, 4(3)+6 and solve. You'd get 18 as your answer. Double that to get the solution since AE= 1/2AB. 18*2= 36
AB=36
An equilateral triangle is shown below. What is the value of x?
Answer:
2
Step-by-step explanation:
PLEASE HELP I DONT WANNA FAIL, THIS IS TOO HARD AND STRESSFUL
Answer:
That is hard. What grade are you in.
Step-by-step explanation:
Solve to the nearest tenth
[tex] \sqrt{18} [/tex]
COuld yall awnsser
-1/5x-18=2
Answer:
x = -100
Hope this helps!
Answer:
x=−100 hope this helps :)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Add 18 to both sides.
Step 3: Multiply both sides by 5/(-1).
You work in a packaging store. A customer brings in a basketball to be put in a box. The available box is 25
centimeters (cm) on all sides, and the ball has a diameter of 9.55 inches.
Will the ball fit inside the box?
O The ball will fit, because its diameter is approximately 12 cm.
O The ball will fit, because its diameter is approximately 14 cm.
O The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
O The ball will not fit, because its diameter is approximately 3 cm longer than the side of the box.
The ball will not fit, because its diameter is approximately 14 cm longer than the side of the box.
Given:
Length of each side of the box = 25 cm
Diameter of the ball = 9.55 inches.
To find:
Whether the ball will fit inside the box.
Solution:
The ball will fit inside the box if the diameter of the ball is less than or equal to length of each side of the box.
Length of each side of the box = 25 cm
We know that, 1 inch = 2.54 cm
Diameter of the ball = 9.55 inches.
= (9.55 × 2.54) cm
= 24.257 cm
Clearly, 24.257 cm < 25 cm. Diameter is approximately 1 cm shorter than the side of the box.
Therefore, the ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
Hence, the correct option is C.
A. -9
B. -1
C.1
D. 9
Answer:
C. 1
Step-by-step explanation:
Start at (0,3)
Slope is -3/1
X intercept would be 1
Answer:
i think the answer is A. -9
Step-by-step explanation:
i really hoped this helped
*A number consisting of two digits is three times the sum of its digits. If 45 is added
to the number, the digits will be interchanged. Find the number.
Please make an equation and solve it.
Answer: The number is 27
The system of equations is: 7x - 2y = 0
-9x + 9y = 45
Step-by-step explanation:
Let x represent the number in the tens place and y represent the number in the ones place. x y
Then 10x + y = 3(x + y)
When the digits are reversed: 10y + x = 10x + y + 45
Simplify each of the above equations and then create a system of equations:
10x + y = 3x + 3y → 7x - 2y = 0
10y + x = 10x + y + 45 → -9x + 9y = 45
9( 7x - 2y = 0) → 63x - 18y = 0
2(-9x + 9y = 45) → -18x + 18y = 90
45x = 90
x = 2
Input x = 2 into either equation to solve for y:
7x - 2y = 0
7(2) - 2y = 0
14 = 2y
7 = y
Answer:
27
Step-by-step explanation:
Let's say that the number is 10x + y
Accordingly the number consists of digits three times the sum of it's digits, so 10x + y = 3(x + y)
10x + y = 3(x + y) -> Distribute the "3"
10x + y = 3x + 3y -> Combine like terms
7x = 2y -> Isolate "x"
x = 2y/7 --- (1)
With the information provided, the number (10x + y) when added to 45, equals the "interchanged" digits. In this case x and y represents digits, so interchanging them would be 10y + x;
10x + y + 45 = 10y + x -> Combine like terms
9x = 9y - 45 --- (2)
Substitute the first equation into the second, and solve for x and y. Given the digits we can determine the number =>
9(2y/7) = 9y - 45 -> Simplify
- 45y/7 = - 45 -> Multiply either side by 7
- 45y = - 315 -> Divide either side by - 45
y = - 315/ -45 = 7 (second digit)
x = 2(7)/7 = 14/7 = 2 (first digit)
Solution: The number is 27
In △ABC, the sides AB and AC are produced to ∠P and ∠Q respectively. If the bisectors of ∠PBC and ∠QCB intersect at A point O. Prove that ∠BOC = 90 - ½ ∠A.
Answer:
in △abc, the sides ab and ac are produced to ∠p and ∠q respectively. if the bisectors of ∠pbc and ∠qcb intersect at a point o. prove that ∠boc = 90 - ½ ∠a.
Help me please asap and thank you
Divide. −1/9÷3/4 −4 2/7 −1 1/2 1 1/2 4 2/7
Answer:
-4/27
im confused on your answer choices, but this is what i could figure out.......
No I will mark brain
Answer:
C
Step-by-step explanation:
You can estimate to assume that it is about 512 gallons
Katherine drove 13 miles in 1/5 hour. On average, how fast did she drive, in miles
per hour?
Answer:
65 miles per hour
Step-by-step explanation:
r = d/t
1 : 5 = 0.2
r = 13 : 0.2 = 65
-12x=-10 can give Brainly
Answer:
x = 5/6
Step-by-step explanation:
-12x=-10
Divide each side by -12
-12x/-12 = -10/-12
x = 5/6
Answer:
X = 0.8
Step-by-step explanation:
-12x=-10
divide -12 from both sides
x = 0.8
There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several weeks later, the overall change in the water level is found. The results are shown in the table. What is the range of the data?
2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6
Answer:
The range is -4.2
Step-by-step explanation:
Least to Greatest:
-1.6
-1.5
-0.6
0.3
0.4
0.6
1.9
2.2
2.5
2.6
Subtract Least Number from Greatest Number
-1.6 - 2.6
=-4.2
The range of the data is 4.2
what is range of the data?The range in statistics for a given data set is the difference between the highest and lowest values.
Given:
2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6
Arranging the data in some order
-1.6 , -1.5, -0.6, 0.3, 0.4, 0.6, 1.9, 2.2, 2.5, 2.6
So, range
=highest data - lowest data
=2.6 - (-1.6)
=2.6+1.6
=4.2
Hence, the range is 4.2.
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What the distance between 17 and -8
4 (32 - 139)
Simplify
Answer:
-428
Step-by-step explanation:
32-139=(-107)
4*(-107)=(-428)
simplify 12x^7y^4/6x^2y^5
Answer:
2x⁵/y
Step-by-step explanation:
divide 12/6 to get 2
7-2=5
Someone help me plz hurry
-51/7
Answer:
-51/7
Step-by-step explanation:
-51/7 cannot be simplified
Answer:
-7.28571428571
Step-by-step explanation:
This is the answer, mark brainliest if it helped and/or worked!
In the diagram below, AB is parallel to CD. What is the value of y?
Answer:
b. 30
Step-by-step explanation:
Answer:
The ans is 30 .
Step-by-step explanation:
y + 150= 180 ( being co-interior angle)
y = 180-150
y= 30
8 less than the product of 2 and a number is 16. What is the number?
The answer is 24 when using like terms and the order of operations.
The number would be -4 which is 8 less than the product of 2 and a number is equal to 16.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
Let the number would be n
Given that 8 is less than the product of 2 and a number is equal to 16.
According to the statement of the question,
⇒ 8 - (n*2) = 16
⇒ -(n*2) = 16 - 8
Apply the subtraction operation,
⇒ -2n = 8
⇒ n = -8/2
Apply the division operation,
⇒ n = -4
Hence, the number would be -4 which is 8 less than the product of 2 and a number is equal to 16.
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What would be the best first step to use to solve this equation? 7/12=5/6x
Answer: The first step would be to divide both sides by 5/6 to isolate x.
Answer:
Your answer is: x = 7/10
Solve for x by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
-34 – 5х = 3х + 6
pleaseeee helpppp meeee!!!!!
Answer:
x = -5
Step-by-step explanation:
-34 - 5x = 3x + 6
x = -5
Answer:
x=-5
Step-by-step explanation:
divide each side by a factor thay dont contain variable
help? this is geometry
