Using the normal distribution, it is found that the correct option is:
D. 1; 100In 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.In this problem:
The mean on the Wechsler Scale is of 100, hence [tex]\mu = 100[/tex].The standard deviation is of 17, hence [tex]\sigma = 17[/tex].Brianna had an score of 117, hence [tex]X = 117[/tex]Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{117 - 100}{17}[/tex]
[tex]Z = 1[/tex]
Hence, the option d is correct.
To learn more about the normal distribution, you can check https://brainly.com/question/24663213
Please answer number 3???
The sum of Alyssa's age and her sister's age is 48 years. Alyssa's age is 6 years less than twice her sister's age. What is Alyssa's age, and what is her sister's age?
Answer:
Alyssa's Sister = 18, Alyssa = 30
Step-by-step explanation:
48 = 2x-6 + x
54 = 2x + x
54 = 3x
18 = x
2(18) - 6
36 - 6
30
48 = 2(18) - 6 + 18
48 = 36 - 6 + 18
48 = 30 + 18
48 = 48
write the number twenty-nine million sixty thousand
29,060,000
When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.
Answer:29,060,000
Step-by-step explanation:
with every three zeros your number grows bigger 100,00= One hundred thousand. 29,000,000 = thwenty-nine million
Gabby took a math quiz last week. There were 28 problems on the quiz and Gabby answered 25% of them correctly. How many problems did Gabby get correct? problems
Answer:
7
Step-by-step explanation:
25% of 28 =
= 0.25 × 28
= 7
Answer: 7
Plzzzz help meee plzzzzzzz
Answer:
the answer is d
Step-by-step explanation:
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
Part B:
P''(-1, 0)
Q''(0, -1)
R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are not congruent.
stion 13: A typical barrel of bot-oil contains 70 liters of oil. If a hole he barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.
Answer:
y = -6x + 70
Step-by-step explanation:
Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.
Could somebody please help with this?
the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)
the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)
Find the difference.
17 minus 2 and one-third equals what number?
A. 15 and one-third
B. 15 and two-thirds
C. 14 and two-thirds
D. 14 and one-third
Answer:
C. 14 and 2/3
Answer:
C
Step-by-step explanation:
17 - 2 1/3
17 -2 -1/3
15 -1/3
14 2/3
Store A sells a set for $25 and offers 10% discount. Store B sells a set for $27 and offers 20% discount. Store C sells a set for $26 and offers a 15% discount. After calculating the discounted prices, place the stores in order from LOWEST to HIGHEST price for a set of paintbrushes.
Answer: store B store C store A
Step-by-step explanation: by multiplying the amount the price is with the sale which is .9 for 90% .8 for the 80% and .85 for the 85% by the previous amount you can find how much it is after the sale
The gas tank of priya pontoon boat can hold 5 gallons it is completely empty Oriya needs a full tank for the days activities she adds 2 1/4 gallons from a gas canister and then takes the boat to a nearby marina to fill it up. She has to pay ahead. Oriya wants the tank as full as possible but does not want to overpay. How many gallons should Oriya ask for?
If you don’t answer it correctly then don’t mind answering
The answers are underneath each problem. The reason this makes sense is due to the distributive property.
27. GCF of 27 and 12 is 3
3(4+9)
28. GCF of 12 and 36 is 12
12(1+3)
29. GCF of 16 and 20 is 4
4(4+5)
30. GCF of 2x and 8 is 2
2(x+4)
31. GCF of 30 and 12x is 6
6(5+2x)
32. GCF of 42x and 49 is 7
7(6x+7)
To do this, find the GCF and then divide each number by so. Then, add them in parenthisis and multiply it by the GCF
triangle ABC rotated 90 degress clockwise about point P to create triangle DEF. Determine the correct orientation and location of triangle DEF
When a triangle is rotated, it must be rotated through a center.
The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)
The triangle is given as: triangle ABC.
And the degree of rotation is 90 degrees clockwise.
Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.
And the orientation would point to the right of point P.
Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).
Read more about rotation at:
https://brainly.com/question/1616371
Jim’s backyard is rectangular with dimensions of 80 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 3/4. How much fencing will he need if he wants to enclose the garden on all four sides?
How many feet does he need?
ax4 + bx2 + c=0 (a>0) (c>0)
The quadratic equation has two solutions If
1)b2>4ac
2) b2-4ac>0
The quadratic equation has two solutions if b^2 - 4ac > 0
Given the equation ax^4 + bx^2 + c=0
Let P = x^2Substitute into the formula to have:
a(x^2)^2 + bx^2 + c =0The equation becomes aP^2 + bP + c = 0
For us to have a unique solution, the discriminant b^2 - 4ac must be greater than zero. Hence the quadratic equation has two solutions if b^2 - 4ac > 0
learn more on discriminant here; https://brainly.com/question/1537997
PLSS HELP whats 4.922 rounded to the nearest hundredth PLS
Answer:
4.92
Step-by-step explanation:
Answer: 4.92
Step-by-step explanation:
To round a three decimal integer like 4.922, you look at the trailing digit or last decimal (2) in this case.
Then determine if greater or less than 5. If greater or equal to 5, remove last digit 2 and then add 1 to the number before (2) or 2nd decimals place.
So we have 4.922 with last decimals being 2.
Therefore, we do not add and keep last decimals before the same.
Answer is 4.92
It’s a khan academy problem I have trouble with
Help!! And stop with the links!!!!!
Answer:
3, 5, 2, 1, 4
Step-by-step explanation:
In step 2, parentheses are eliminated: distributive property.
In step 3, x is subtracted: subtraction property.
In step 4, 12 is added: addition property.
In step 5, the equation is divided by 17: division property.
__
The properties are listed in the order of statements ...
3, 5, 2, 1, 4
compare 8/11 to 3/5
PLEASE HELP !!!
Rewrite both fractions with a common denominator:
8/11 x 5 = 40/55
3/5 x 11 = 33/55
40/55 is greater than 33/55 so 8/11 is greater than 3/5
Please answer my question
Answer:
y=14x
Step-by-step explanation:
John is a mechanic with a technical license. He has worked 40 hours at minimum wage
this week. How much is his gross wage for the week?
Answer:
$290
Step-by-step explanation:
if minimum wage is $7.25
7.25×40= 290
The difference between a number and 16 is 49.
ANYBODY KNOW THE ANSWER?~
Hey there!
GUIDE
• The word “sum” means add
• The word “difference” means subtract
• The word “product” means multiply
• The word “quotient” means divide
• The word “is” means equal to
• The “unknown number” is a variable that is not known. So people usually label it as a variable until they figure out what the unknown value is.
Now that we have that information out the way we can solve for your given question.
“The [DIFFERENCE] between [a number] & 16 [is] 49
Lets break it down
• DIFFERENCE (between) = subtract☑️
• A NUMBER = UNKNOWN (so we will label it is as “n”]☑️
• 16 will stay the same because NOTHING was done to it!
• IS = is equal to☑️
We have the key terms out of the way so now we met our answer
ANSWER:
“n - 16 = 49”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
please please help for brainlist !!!!!!!!
f(x) is linear.
g(x) is exponential.
F(x) is linear! Remember, linear functions have a set amount of rate of change, in this case it’s 2! G(x) is a exponential function because instead of going down by a certain amount, it’s simply going down by half.
Hope this helps!
Please I really need help I’ll give brainliest
Based on the information in the diagram, which triangle
congruence property can be used to justify that triangle ABC is congruent to triangle FGH?
Answer:
In this I would choose C
Step-by-step explanation:
How would this question be solved?
Answer:
it would be solved by it mom
What is the slope of the line containing the point (34,-27) and (14, 37)
Step-by-step explanation:
where slope is equal to y2-y1/x2-x1
Solve -2.5n + 8.7 > 5.45.
Answer:
Solved for n: n < 1.3
Step-by-step explanation:
Are there answer choices included?
Plzzzz help mee plzzzzz plzzzzz
Answer:
1. B
2. Seven Hundred thousand nine hundred and four
Step-by-step explanation:
someone pls pls help
Answer:
4√2 cm
Step-by-step explanation:
ABCD is a square.
Each side measures 8 cm.
So,
AB = BC = CD = AD = 8 cm
P, Q, R, and S are mid - points of ABCD.
P is the mid - point of AB.
So,
AP = PB
AP + PB = AB
AP + AP = AB
2AP = 8
AP = 8 / 2
AP = 4 cm
S id the mid - point of AD.
So,
DS = SA
DS + SA = AD
SA + SA = AD
2SA = 8
SA = 8 / 2
SA = 4 cm
Property of a square : The angle between two sides is 90°.
So,
The angle between side SA and AP is 90°.
So,
SA, AP and SP forms a right angled triangles.
By Pythagoras theorem,
( SP)² = ( SA )² + ( AP )²
( SP )² = 4² + 4²
= 16 + 16
( SP )² = 32
SP = √32
SP = 4√2 cm
Since PQRS is also a square.
In square, all sides are equal.
So,
PQ = QR = RS = SP
Since SP = 4√2 cm
Hence,
PQ = 4√2 cm
Therefore,
the length of PQ is 4√2 cm.
Answer: 5.7
Step-by-step explanation:
Midpoint means the middle of line. So to find the middle of the line I just need to divide the line by 2.
So the midpoint of AB is:
8/2=4 = BP
Since Q is also a midpoint so BQ is equal to 4.
We know BP=BQ=4. Looking at the diagram we can tell PBQ is a triangle.
The hypotenuse of the triangle is PQ.
Pythagoras's theorem helps us to find the hypotenuse. So we just plug in the values to find PQ.
P's Theorem : a²+b²=c²
basically in the case of this question it means:
(BP)²+(BQ)²=(PQ)²
now we just subsiture the values and solve for PQ:
4²+4²=(PQ)²
16+16=(PQ)²
32=(PQ)²
PQ=5.65...
= 5.7(rounded to one decimal place)
what is 7829 to the nearest 1000
Answer:
8000
Step-by-step explanation:
Since 8 is bigger than 5, you can increase it
7829 to the nearest ten: 7830
7829 to the nearest hundred: 7800
Hope this helps!
The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
For example round of 346 will, be350 and round of 344 will be 340
Given the digit,7829
9 → unit place
2 → tens place
8 → hundred place
7 → thousand place
In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.
Since 829 > 500 so 7829 → 8000
Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".
To learn more about rounding a digit,
https://brainly.com/question/116595
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