Answer:
10(2x-1)
Step-by-step explanation:
Since the GCF (greatest common factor) of 20 and 10 is 10 We factor out the 10.
=> 10(2x-1)
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in his class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, he decides to convert the test scores into z scores relative to the mean and standard deviation of the students in the class. The mean test score in his upcoming class is 49, and the standard deviation is 20.7.
The following are the scores for some (not all) of her students.
Student Test Score Z- score
A 205 0.08
B 199 ______
C 266 1.68
D 222 ______
E 188 -0.37
F 172 ______
G 184 -0.47
H 215 ______
The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores.
For z = 2.00, test score = ____________
For z - -2.00, test score = ____________
Answer:
The answer is below
Step-by-step explanation:
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2. The following are the scores for some (not all) of her students. Complete the table using the dropdown menus. The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. For z = 2.00, test score = .For z - -2.00, test score = .
Solution:
The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given that μ = 202, σ = 38.2
i) for student B, x = 199. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{199-202}{38.2}=-0.08\\[/tex]
ii) for student D, x = 222. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{222-202}{38.2}=-0.52\\[/tex]
iii) for student F, x = 172. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{172-202}{38.2}=-0.79\\[/tex]
iv) for student H, x = 215. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{215-202}{38.2}=0.34\\[/tex]
For z = 2.00, the test score x is:
[tex]z=\frac{x-\mu}{\sigma}\\\\ 2=\frac{x-202}{38.2}\\\\76.4=x-202\\\\x=278.4[/tex]
For z = -2.00, the test score x is:
[tex]z=\frac{x-\mu}{\sigma}\\\\ -2=\frac{x-202}{38.2}\\\\-76.4=x-202\\\\x=125.6[/tex]
Write the equation of the line that passes through the points (-3, 4) and (-3,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
x=-3
Step-by-step explanation:
y-4=(3-4)/(-3-(-3))(x+3)
y-4=1/(-3+3) (x+3)
y-4=1/0(x+3)
or x+3=0
x=-3
Can some write the correct inequality graph below
Answer:
x≥-6
Step-by-step explanation:
Shade the number line to show 3/5 x 5/8
Answer:
15/40 = 3/8
Step-by-step explanation:
numerator x numerator & denominaror x denominaror
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
To shade the number line to show 3/5 x 5/8, we can first convert the fractions to decimals:
So,
3/5 = 0.6
5/8 = 0.625
Next,
We can multiply these decimals together to find the product:
= 0.6 x 0.625
= 0.375
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
If the number line extends from 0 to 1, with tick marks every 0.1, we can count over 3.75 tick marks from 0 and shade the point that corresponds to that location.
The shaded point should fall between 0.3 and 0.4 on the number line.
Thus,
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
Learn more about number line here:
https://brainly.com/question/13425491
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Cassie has a total of 110 coins in her piggy bank. All the coins are quarters and dimes. The coins have a total value of $20.30. How many quarters and how many dimes are in the piggy bank?
Answer:
48 dimes and 62 quarters
Step-by-step explanation:
In the triangle below,
x= [ ? ]°. Round to the nearest tenth. ANSWER ASAP!!!
Answer:
2
Step-by-step explanation:
Answer:
Your answer would be 2
Step-by-step explanation:
I would explain but its too hard
the ratio of boys to girls at space camp is 3:2 if there is a total of 60 campers,then how many of the campers are girls
Answer:
24
Step-by-step explanation:
3+2=5
5u-> 60
1u->12
2u-> 24
In a football league, 4 coaches are needed for every 38 players. If 84 players sign up for softball, how many coaches are needed?
Pls help extra points and mark brainlist
Answer: 3
Step-by-step explanation:
A term is a group of numbers and variables.
In your expression, there are 3 term: 3k, 10, and 5n^3A coefficient is just the number attached to the variable.
In the term 3k, the first one in your expression, the 3 is the coefficient because it is being multiplied by an unknown, k. There is also another term with a variable in your expression: 5n^3. 5 would be the coefficient because it is being multiplied by an unknown, n, multiplied by itself three timesA constant is just a number.
In your expression, 10 is a constant because it doesn't have a variable, so no matter what the other variables are, that term will always stay 10Hope this helps :)
What are the factors of polynomial function g?
g(x)= x3 + 2x^2 - x - 2
Answer:
g(x)= (x+2) (x+1) (x-1)
Step-by-step explanation:
cuál es el porcentaje de descuento de 70 a 45
Answer:
no habla espanol, sorry
Answer:
Utilizando la fórmula 2 y sustituyendo los valores indicados:
Precio de venta = Precio original - Valor del descuento. Así,
Precio de venta = 45 - 31.5
Precio de venta = $13.5 (respuesta)
Esto significa que el costo del artículo para usted es $13.5.
Usted pagará $13.5 por un artículo cuyo precio original fue $45 con un descuento de 70%.
En otras palabras, si usted compra una mercancía por $45 con 70% de descuento, Usted pagará $(45 - 31.5) = $13.5
Step-by-step explanation:
esoes
I’m having trouble with this question can someone help me
Answer:
Step-by-step explanation:
sinP = ST/PS = RQ/PQ
Find the product (6x² + 2x)(x²+4x)
Answer:
6x⁴ + 26x³ + 8x²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
(6x² + 2x)(x² + 4x)
Step 2: Expand
FOIL: 6x⁴ + 24x³ + 2x³ + 8x²Combine like terms: 6x⁴ + 26x³ + 8x²The figure shows a quadrilateral. The length of each side is given as shown
Find the perimeter of the quadrilateral in terms of z.
Answer:
3z + 15
Step-by-step explanation:
perimeter = sum of lengths of sides
P =
P = 3z + 15
A certain cell phone advertises a mean battery life of 32 hours. Suppose the battery life of these phones follows a Normal distribution with standard deviation 2.5 hours. If 5 of these phones are randomly selected from the factory, then there is about a 95% probability that the sample mean will fall in which interval?
Find the z-table here.
7.5–56.5 hours
21.0–43.0 hours
27.1–36.9 hours
29.8–34.2 hours
31.0–33.0 hours
Answer:
29.8–34.2 hours
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
Mean of 32, standard deviation of 2.5.
Sample:
Sample of 5, so [tex]n = 5, s = \frac{2.5}{\sqrt{5}} = 1.1[/tex]
There is about a 95% probability that the sample mean will fall in which interval?
Within 2 standard deviations of the mean. So
32 - 2*1.1 = 32 - 2.2 = 29.8
32 + 2*1.1 = 32 + 2.2 = 34.2 hours
The high temperature is 35 degrees and the low is -2 degrees. What is the difference between the high temp and low temp?
Answer:
33
Step-by-step explanation:
Answer:
It should be 37
Step-by-step explanation:
sorry if its wrong
order the following from least to greatest 5.392, 5.932, 0.593, 0.9
Answer:
0.593, 0.9, 5.392, 5.932
Step-by-step explanation:
hope this helps^-^
If x is to 8 as 15 is to 12, then x equals...
Answer:
12/8 = 6/4 = 3/2; 2/3 * 15 = 10
Step-by-step explanation:
13.65 = h + 4.88 What the answer
Answer:
h = 8.77
Step-by-step explanation:
Isolate the variable, h. Note the equal sign, what you do to one side, you do to the other. Subtract 4.88 from both sides:
h + 4.88 = 13.65
h + 4.88 (-4.88) = 13.65 (-4.88)
h = 13.65 - 4.88
h = 8.77
8.77 is your answer for h.
~
b) Two coins are tossed, find the probability that one head only is obtained.
You plan on purchasing a car in the next year. The car that you are interested in lists for $23,000 after taxes, license, and doc fees. You currently have two-thirds of the vehicles value saved and you get paid $1,312.00 twice a month. Given that monthly expenses total $1,150.12, Social Security is 6.2% of your income, Medicare is 1.45% of your income, and you pay State and Federal taxes in the amount of $53.00 and $101.35, respectively, twice a month, determine in how many months you will have to save for so that you can purchase the car without financing. Round all your answers to the nearest cent. Round your answer to the nearest month.
a.
7 months
c.
8 months
b.
6 months
d.
9 months
Answer:
c. 8 months.
Step-by-step explanation:
First let's break down all the expenses and taxes to come up with how much we save each month and subtract it to our total salary monthly.
Total Salary : $1312.00 x 2 = $2,624.00
Current Savings : 2/3 or 0.67 = $15333.33
| Expenses |
Monthly Expenses : $1,150.12
Social Security : 6.2% or 0.062 x 2,624 = $162.69
Medicare : 1.45 or 0.0145 x 2,624 = $38.05
Taxes: $53 + $101.35 = 154.35 x 2 = $308.7
So we sum up all the expenses.
= $1659.56 Total Expenses.
Now we have to find how much extra money we have each month.
= $964.44 Extra Money
Now we subtract our current savings to the total price of the car.
= -7666.67 Balance
Now we divide the total balance to our extra money monthly.
= 7.949 Months or 8 Months
Mhanifa please help I will mark brainliest
Answer:
36°90°Step-by-step explanation:
Question 1
x = 180° - 2*72° = 180° - 144° = 36°Question 2
x + 2(x/2) = 180°2x = 180°x = 90°!!!!!!please solve!!!!!
Answer:
first one x=4
second one x=3
Step-by-step explanation:
<3
Answer:
1. True
2. True
Step-by-step explanation:
So we are playing with variables here, lets look at 1.
5x + 9 = 29 if x = 4
This means that if x equals 4, would it make the equation true? Let's find out :
Substitute :
5(4) + 9 = 29
20 + 9 = 29
This is true, let's do the same for 2. :
7x - 8 = 13 if x = 3
7(3) - 8 = 13
21 - 8 = 13
This is also true.
so alot of the text got cut off so im going to re wright the problem
An illusionist needs both female and male volunteers for a show he needs no more then 10 volunteers for a show the illusionist needs fewwr then 4 female volunteers let X represent the number of female volunteers and Y represent the number of male volunteers which inqualities model the situation select eatch correct answer
Answer:
A. x+y<10
B. x+y≤10
Step-by-step explanation:
A is correct because they can be less than.
B is correct because there is less than or equal too of numbers of volunteers.
C, D, and E cannot be correct however, because that means that they can be over at any number. Therefore, these three would be incorrect.
A tile is 4 inches long
If 4 tiles are placed sided by side, what would be the approximate total length in centimeters? (1 in 2.54 cm)
Answer:
294.64
Step-by-step explanation:
1 inch has 2.54 centimeters.
Answer:
The Answer is B: 16 Because 1 tile is 4 inches long and 4 tiles is 4x4=16
Step-by-step explanation:
The perimeter of the rectangle is 72cm. The width of he rectangle is 8cm greater than the length. Find the width and the length.
perimeter = 72 cm
width = x
length = x+8
perimeter of rect. = 2(l+b)
2(x+x+8) = 72
2(2x+8) = 72
4x + 16 = 72
4x = 56
x = 56|4
x= 14
hence width is 14 so ,length will
14+ 8 = 22
hope it helps and your day will full of happiness
If m 2 n, which inequalities must be true? Check all that apply.
Om + 2.1 > n + 2.1
m - (-4) 2 n-(-4)
m + 3 n-3
16.5 + m > 16.5 + n
1
U
m 2 n +
U
9 + m > 6+n
Answer:
[tex](a)\ m+ 2.1 > n + 2.1[/tex]
[tex](b).\ m - (-4) > n - (-4)[/tex]
[tex](c)\ 9 +m> 6 + n[/tex]
Step-by-step explanation:
Given
[tex]m > n[/tex]
Required
Select true inequalities
[tex](a)\ m+ 2.1 > n + 2.1[/tex]
Subtract 2.1 from both sides
[tex]m > n[/tex]
This is true
[tex](b).\ m - (-4) > n - (-4)[/tex]
Open brackets
[tex]m + 4 > n + 4[/tex]
Subtract 4 from both sides
[tex]m > n[/tex]
[tex](c)\ 9 +m> 6 + n[/tex]
[tex]m> -9+6 + n[/tex]
[tex]m> n-3[/tex]
This is also true
Answer:
A,B,D
Step-by-step explanation:
what is the value of X in the equation 6X+3+4=1/2(9+10X)
Answer:
[tex]6x+3+4=\frac{1}{2}(9+10x)\\6x+7=\frac{9}{2}+5x\\x=-\frac{5}{2}[/tex]
Step-by-step explanation:
sana p mkatulong............
A club raised 80% of its goal for a charity. The club raised $1076. What was the goal?
Answer:
860.8
Step-by-step explanation:
Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)
A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees