The heights of 20-year-old females are normally distributed with a mean of 64 inches
and a standard deviation of 2 inches. What is the z-score for a height of 67 inches?
Answer:
1.5
Step-by-step explanation:
Applying,
Z = (x-μ)/σ................. Equation 1
Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.
From the question,
Given: x = 67 inches, μ = 64 inches, σ = 2 inches.
Substitute these values into equation 1
Z = (67-64)/2
Z = 3/2
Z = 1.5
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
What is the marginal relative frequency of survey participants who are girls?
0.06
0.5
0.43
17
Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:
f = 17/40 = 0.425
Which is rounded to 0.43.
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Can someone help me? It's urgent and thank you!
Answer:
15.2%
Step-by-step explanation:
P = 5/(5+4+3) × 4/(5+4+3-1) = 5/12 × 4/11 = 5/33 * 100 = 15.2%
Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
x = –1, x = 11
x = –1, x = –11
x = 14, x = –26
x = 26, x = –14
Answer:
x = -1 , - 11,
Step-by-step explanation:
| x | = x
|- x | = x
f(x) = 2 | x + 6 | - 4
x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True
x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False
x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False
x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True
x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False
x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False
x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False
x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False
OR
Given f ( x ) = 6
f( x ) = 2 | x + 6 | - 4
6 = 2 | x + 6 | - 4
6 + 4 = 2 | x + 6| - 4 + 4 [ adding 4 to both sides ]
10 = 2 | x + 6 | + 0
5 = | x + 6 | [ dividing both sides by 2 ]
[tex]- 5 =\ ( x+ 6) \ = 5\\\\[/tex] [tex][ \ | x | = a\ => \ -a \ = x \ = a \ ][/tex]
[tex]- 5 - 6 = \ x + 6 - 6 \ = \ 5 - 6\\[/tex] [tex][ \ subtracting \ by \ 6 \ ][/tex]
[tex]-11 = \ x \ = - 1[/tex]
find the number between 1 over 10 and 3 over 5
Answer:
7/20
Step-by-step explanation:
1 over 10 is .1
3 over 5 is .6
write them out
.1 .2 .3 .4 .5 .6
number between is .35
.35 = 35/100 = 7/20
7/20
Which of the following terms can be combined in this expression?
13 minus x over 5 + 6.2 y + 20.5 x minus 3 over 8 y
Negative 13 can be combined with 20.5.
6.2 y can be combined with 20.5 x.
6.2 y can be combined with Negative 3 over 8 y.
Negative x over 5 can be combined with Negative 3 over 8 y.
Given:
Consider the expression is:
[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]
To find:
The like terms that can be combined in this expression.
Solution:
Two terms are called like terms, if they have same variables of same degree.
We have,
[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]
In the given expression, the pairs of likes terms are:
Pair 1: [tex]-\dfrac{x}{5}[/tex] and [tex]20.5x[/tex]
Pair 2: [tex]6.2y[/tex] and [tex]-\dfrac{3}{8}y[/tex]
It means [tex]-\dfrac{x}{5}[/tex] can be combined with [tex]20.5x[/tex] and [tex]6.2y[/tex] can be combined with [tex]-\dfrac{3}{8}y[/tex].
Therefore, the correct option is C.
А
E
с
D
В
If mZACD = 100°, then mZECB = [?]°
Answer:
100
Step-by-step explanation:
they are vertical angles therefore, they have the same measure.
$5000 is placed in a bank account with an annual interest rate of 5.5%. The function represents the balance in the account, f(x), after x years. Approximately, how long will it take for the account to double?
How do you know you're good at sleeping I need help
Answer:
You can do it with your eyes closed
Step-by-step explanation:
David had 74 pennies and then lost 18. Now he wants to buy a treat that costs 2 sevenths of the pennies he has left. How many pennies does the treat cost?
HELP ASAP PLEASEEEEE!!!
Answer:
16 pennies
Step-by-step explanation:
74 - 18 = 56
56 / 7 = 8
1/7 of the pennies is 8 pennies.
2/7 of the pennies are 16 pennies.
Answer:
18 pennies
Step-by-step explanation:
74-18=56
56/7=8
8x2=16
Brainliest for help please please
Answer:
5
Step-by-step explanation:
Multiply -1 on both sides to get rid of the negatives.
4x=20
Divide 4 on both sides
[tex]\frac{4x}{4}[/tex]=[tex]\frac{20}{4}[/tex]
Simplify
x=5
Answer:
5
Step-by-step explanation:
-4x= -20
or, x= -20/-4
or, x=5
^^the question above in the photo
Answer:
11
Step-by-step explanation:
Which of these is an example of typing at a rate of 42 words per minute?
A typing 21 words in 2 minutes
B typing 84 words in 3 minutes
C typing 210 words in 5 minutes
D
typing 400 words in 10 minutes
A circle has a radius of 18 ft and an arc length of 11 π. What is the measure of the central angle of
the circle?
De un total de 40 alumnos, a 36 les gusta ir al cine. ¿Cuál es el porcentaje de alumnos a los que les gusta ir al cine?
Answer:
o amar kotay 你最喜歡的動漫，我很抱歉成為你的問題，但你給了你 50 ru 複製你的業務和不歸還的總和，但你給了你我應該有第二個的 y 軸是
The percentage of students who like to go to the movies is 90%.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that of a total of 40 students, 36 like to go to the movies
We can write the percentage of students who like to go to the movies as follows -
{x}% = (36/40) x 100
{x}% = (9/10) x 100
{x}% = 90
Therefore, the percentage of students who like to go to the movies is 90%.
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{
Question in English is given as follows -
Of a total of 40 students, 36 like to go to the movies. What is the percentage of students who like to go to the movies?
}
what is. perfect square
Answer:
a four sided parallelogram where all angles are the same and all sides are the same length
The depth of the water in the container at the beginning of the day on monday was 24 3/4 inches. What was the depth of the water in the container at the end of the day on friday
Answer:
25 1/4 inches
Step-by-step explanation:
Given :
Day ___ Mon ___ Tue ___ Wed ___ Thur ___Fri
△depth _-3/8 ___ - 1/8 ___ 1/2 ____ - 1/4 __ 3/4
Depth of water at the beginning = 24 3/4
Depth of water at the end of Friday:
24 3/4 - 3/8 - 1/8 + 1/2 - 1/4 + 3/4
24 3/4 + (-3/8 - 1/8 + 1/2 - 1/4 + 3/4)
24 3/4 + (-1/2 + 1/2 + 3/4)
24 3/4 + ( - 1/4 + 3/4)
24 3/4 + 1/2
24 + (1 1/4
24+ 1 + 1/4
25 1/4
What is the point used to write the equation y-2=4(x+5) in point slope form?
Answer: y−26=4(x−1)
Step-by-step explanation:
write an equation to represent the function.
input (x)
0
3
9
output
(y)
0
1
3
Answer:
Step-by-step explain
the answer is c
Answer pls
Maths questions
Attached paper question (Answer pls)
Answer:
25 wanted ice cream 10 wanted coffee 3/5 wanted ice teaA survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings
they each have. The dot plots below show the results.
Students Which compares the modes of the data?
Answer:
a
Step-by-step explanation:
What is the slope of the line with points of (0,-1)) and (2,3)
Answer:
2
Step-by-step explanation:4divided by 2 =2
Answer:
2
Step-by-step explanation:
[tex]x_{1}=0; y_{1}=-1\\\\x_{2}=2 ; y_{2}=3\\\\Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{3-[-1]}{2-0}\\\\=\frac{3+1}{2}\\\\=\frac{4}{2}\\\=2[/tex]
Please help it's urgent!Need help quick!
Answer:
Solution
Step-by-step explanation:
Hope this helped :)
The denominator of a fraction is greater than its numerator by 7. If
the numerator is increased by 1 and the denominator is increased by
4, the fraction becomes 1/3
. Find the original fraction.
Answer:
4/11
Step-by-step explanation:
Let :
x = numerator
x + 7 = denominator [tex]\frac{x}{x + 7}[/tex]
[tex]\frac{x}{x+7} + \frac{1}{4} = \frac{1}{3}[/tex]
[tex]\frac{x + 1}{x + 11} = \frac{1}{3}[/tex]
cross multiply
3(x + 1) = x + 11
3x + 3 = x + 11
combine like terms
3x - x = 11 - 3
2x = 8
x = 4
x + 7 = 4 + 7 = 11
original fraction = 4/11
Solve for the answer.
Let x=10
4x + 12=
(A) 0.52
(B) 5.2
(C) 52
Answer:
c 52
Step-by-step explanation:
x=10
4 ×10=40
40+12=52
I am making two kinds of cookies: chocolate chip and lemon cookies.
(a)
Chocolate Chip Cookies
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
I can make
batches of chocolate chip cookies.
You may use the scratchpad to show your work.
(b) Lemon Cookies
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
I can make
batches of lemon cookies.
You may use the scratchpad to show your work
Enter your answer as a fraction
Uhh sorry to bother again I’ve had no motivation haven’t been paying attention so uh yea
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The chocolate cookies is given as:
Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22
The lemon cookies is given as:
Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
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Which of the following is equivalent to
2(x²-x) + (x²-x)?
Answer: The correct answer is 3x^2-3x
Step-by-step explanation:
I hope this help
Why are (1, 2) and (2, 1) sot equal ordered pairs
Answer:
Step-by-step explanation:
(1,2) and (2,1) are not equal ordered pairs becasue their corresponding elements are not equal.
Two Ordered Pairs are said to be equal if the corresponding first components are equal alongside the corresponding second components are equal.
for example:
(3,1) and (3,1)
here corresponding element of 3 is 3 and of 1 is 1 .so they are called equal ordered pairs.
A woman invested 4 times much at 4% as she did at 9%. The total amount of interest she earns in 1 year from both accounts is $500. How much did she invest at each rate?
Answer:
$2,000 at 9%
$8,000 at 4%
Step-by-step explanation:
(4x * .04) + (x * .09) = 500
.16x + .09x
.25x = 500
x = $2,000 at 9%
4x = $8,000 at 4%
Answer:
2000 at 9%
8000 at 4%
Step-by-step explanation:
Let the principle at 9% = x
The principle at 4% = 4*x
Together they give 500 dollars.
9% = .09
4% = ,04
Both are invested for 1 year
0.09 * 1 * x + 0.04 * 1 * 4x = 500
0.09x + 0.16x = 500
0.25x = 500
x = 500 / 0.25
x = 2000
She invested 2000 at 9%
She invested 4 * 2000 at 4%
the age of nicole is 3 times of christine now after five years nicole will be twice as old as krisin
