Answer:
z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean.
Step-by-step explanation:
The formula for z score is given as:
z = (x-μ)/σ,
where
x is the raw score = 9.7%
μ is the population mean = 13.26%
σ is the population standard deviation = 1.67%
z = z score or standardize score
Hence,
z = 9.7 - 13.26/1.67
z = -2.13174
Approximately z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean
What is the slope of (-5,7) and (1,1)
What is the slope of (2,6) and (8,4)
Answer:
(1) -1
(2) -1/3 or -1.333333333333333333333333333333333333to infinity
Answer:
(-5,7) and (1,1)
Slope=-1
(2,6) and (8,4)
Slope=-2/6
Evaluate the function.
Find the value of x
x - 2/3 = x - 6
Higher Order Thinking A full tank that holds 11.6 gallons of
gasoline is using 1.45 gallons per hour. Is the tank more than
half full of gasoline after 3.5 hours? Explain your answer
Answer:
Yes ! After 3.5 hours, it will be over half full !
Step-by-step explanation:
In the photo :)
Determine the value of y
Answer:
C
Step-by-step explanation:
Because [tex]y^{\circ}[/tex] and [tex]134^{\circ}[/tex] both lie on a straight line, they sum to [tex]180^{\circ}[/tex].
So, [tex]y+134=180[/tex].
We can subtract [tex]134[/tex] from both sides of the equation to get [tex]y=46[/tex].
So, the answer is [tex]\boxed{C}[/tex] and we're done!
What are the solutions to x^2-2x+5=0
Answer:
x = 1 ± 2i
Step-by-step explanation:
x² - 2x + 5 = 0 ( add 5 to both sides )
x² - 2x = - 5
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = - 5 + 1
(x - 1)² = - 4 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( add 1 to both sides )
x = 1 ± 2i ( that is the solutions are complex )
Answer:
[tex]x=1\pm2i[/tex]
or
[tex]x=1+2i[/tex]
[tex]x=1-2i[/tex]
Step-by-step explanation:
All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula: [tex]x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
Quadratic formula gives two solutions, one when ± is addition add one when it is subtraction.
[tex]x^2-2x+5=0[/tex]
Equation is in standard form: [tex]ax^2+bx+c=0[/tex]
Substitute 1 from a, [tex]-2[/tex] for b, and [tex]5[/tex] for C in the quadratic formula, [tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\times \:1\times \:5}}{2}[/tex]
Multiply -4 × 5:
[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:5}}{2}[/tex]
Add 4 + -20:
[tex]x=\frac{-\left(-2\right)\pm \:4i}{2}[/tex]
* the opposite of -2 is 2:
[tex]x=\frac{2\pm 4i}{2}[/tex]
Now, solve equation:
[tex]x=\frac{2+4i}{2}[/tex]
Divide 2 + 4i by 2:
[tex]x=1-2i[/tex]
_____________________________
On average, a person’s heart beats about 4.2×107 times per year. There are about 7,600,000,000 people in the world. Use this data to approximate the number of heartbeats for all the people in the world per year. Expressing your answer in scientific notation in the form a×10 b , what are the values of a and b ?
A person heart beats is 4.2 x 10∧7
there are 7,600,000,000= 7.6 x 10∧9
the heartbeats for all the people here on earth= 4.2 x 10∧7 x 7.6 x 10∧9
choosing like terms
4.2 ×7.6×10∧7×10∧9
31.92x10∧(7+9)
31.92×10∧16
a=31.92
b=16
Answer:
[tex]3.192*10^1^7[/tex]
Step-by-step explanation:
To find this value, multiply the two values given:
4.2x10^7 = 4.2 x ( 10 x 10 x 10 x 10 x 10 x 10 x 10) = 42000000
42000000 x 7600000000 = 319200000000000000
Then convert 319200000000000000 into scientific notation:
319200000000000000 = 3.19200000000000000
Cut off all the zeroes and I moved the decimal 17 places to the left, so the exponent will be positive:
[tex]3.192*10^1^7[/tex]
m^ 2 + m − 90 factorize
Answer:
(m+10)(m-9)
Step-by-step explanation:
To factor this equation we want to find two numbers that multiply to -90 but also add/subtract to 1.
Those two numbers are 10 and -9 (10×-9=-90, 10-9=1)
Answer:
[tex](m-9)(m+10)[/tex]
Step-by-step explanation:
When you are given an expression in this format
[tex]ax^2+bx+c[/tex]
You must find two numbers that add up to b while the product is c.
You do trial and error to figure it out for your equation.
[tex]m^2+m-90[/tex]
Hmm... what two numbers add up to 1 and multiplied together equal -90.
Start off with pairs that can equal 90.
45 2
18 5
9 10
Ok, well 45 * 2 does equal 90 but 45 + 2 = 47and 45 + -2 = 43 but there's no way I can make it equal to 1. Next!
18 * 5 equals 90 but 18 + -5 = 13 and 18 + 5 = 23, I can just tell that there's no way I can make this equal to 1.
9 * 10 equals 90, 9 + 10 = 19 but 9 + -10 = -1. Now, that's interesting, We have -1 but we need 1. All we have to do is flip the order. 10 + -9 = 1. And -9 * 10 = -90, PERFECT!
Now use the two numbers and put it in factored form.
[tex](m-9)(m+10)[/tex]
What is the slope of the line that passes through the points (-3, 1) and (1, — 5) ?
o
0
e
1
1
تراثي
3
e
Sco
Answer:
-3/2
Step-by-step explanation:
-5-1/1-(-3)
-6/4
-3/2
this diagram models three friends who are sharing two turkey sandwiches equally
Step-by-step explanation:
.......................
Answer:
Where's the diagram?
Step-by-step explanation:
Simon bought a $48 table on sale at 30% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression
Answer:
he paid $33.60
Step-by-step explanation:
the expression is 48(.70)
70% is how much is still paid so multiply it and you get the answer.
this applies to any question like this.
the number of painted turtles in a pond is ten less than one-third of the number of frogs. Let f represent the number of bullfrogs. Write an expression for the number of painted turtles
The expression for the number of painted turtles in the pond will be 1/3f - 10.
Let the number of bullfrogs be represented by f.
From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:
= (1/3 × f) - 10
= 1/3f - 10
Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.
In conclusion, the correct option is 1/3f - 10.
Read related link on:
https://brainly.com/question/24950597
The Swiger family recycles about 15 pounds of waste a week. This is 2/5 of the total waste a week. How many pounds of waste does the family produce each week? (Step by step explanation)
Answer: 37.5 lb/wk
Step-by-step explanation:
Let X be the total amount of waste. We are told that (2/5) of X is 15 lb/wk.
(2/5)X = 15 lb/wk
X = (5/2)*(15lb/wk)
X = (75/2) il/wk
X = 37.5 lb/wk
Can you please help me with this ??
Please help
its 3333344455556999999999999
help me pls help me pls
Answer: what is this?
please help me due soon
Answer:
- 7.2
Step-by-step explanation:
it is division and we need to take the reciprocal and multiply it will be -9/5. we need to simplify leaving us -7.2
Free brainliest but help me pls
Answer:
A:4
Step-by-step explanation:
3/4 divided by 3/16
3/4 times 16/3
reduce
4
Answer: 4
Step-by-step explanation: do the brackets first. which is (1/2 * 3/8) to multiply these two together multiply numerator by numerator and denominator by denominator. Or, top * top / bottom * bottom
so we'd do 1*2 / 3*8. so it would give you 3/16.
now all we have left to do is divide 3/4 by 3/16.
to do this you can multiply by the reciprocal of the second value(3/16 will become 16/3)
now we have [tex]\frac{3}{4}[/tex] * [tex]\frac{16}{3}[/tex] you can cancel out each 3 to give you 1/4 * 16/1
and you can also divide both 16 and 4 by 4 (16/4=4)
this gives you a final equation of 1 * 4 for a final answer of 4
0.6-16
What is the answer
The price of an item is $45.00. After a discount, the price is $38.25. What is the percent of the discount?
Answer correctly and I will give brainliest
Answer:
=15
Step-by-step explanation:
45-x% *45=38.25
(-45) x/100=38.5-45
(-45)x/100=(-6.75)
x=6.75 * 100/45
=15
The percent of the discount is 15.
It is required to find the percent of the discount.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
Let the discount percent be x%
When the price of $45 is reduced by x%, we get $38.25.
So,
45 − x % ∗ 45 = 38.25
− 45 x /100 = 38.25 − 45
− 45 x /100 = − 6.75
x = 6.75 ∗ 100 /45
x= 15
Therefore, the percent of the discount is 15.
Learn more about percentage here:
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HELP, please I'm stuck
Simplify:
10-71
4
1-15+8
6
A. -31
B.
5
12
C. 1
11
D. 1.
12
=
Answer:
the answer is B
Step-by-step explanation:
it's the right answer
Answer:
D) 1 11/12
Step-by-step explanation:
10 - 7 = 3 -15 + 8 = -7
3/4 - (-7/6) = 23/12 or 1 11/12
I hope this makes sense :)
Help meeeeeeeee plsss
Answer:
Continuous
Step-by-step explanation:
what is 4000ml to dm
Answer:
4
Step-by-step explanation:
Answer:
4 cubic decimeters.
....
How do you find percentages?
Answer:
obtained number divided by total number multiply by 100%.
· Definition of Percentages
Mathematically, percentages are either numbers or ratios that are expressed as fractions of 100. They are usually denoted as "%" or simply "percent." They may be further represented as simple fractions or as decimal fractions. An example of a percentage is 65% or 65 percent. The term percentage was formed from two words, “per” and “cent.” Cent is a word with Latin and French origin that means "hundred," and "percent" means "per hundred." For example, 90 percent (or 90%) means 90 out of 100 while 50 percent (or 50%) means 50 out of 100 or half of a whole.
1. Determine the initial format of the number to be converted to a percentage
The number to be converted to a percentage can either be in the decimal or fraction format. A good example of a decimal number is 0.57, which may be the calculated ratio of the values you are comparing, while an example of a fraction is 3/20. The initial format will determine the next mathematical process to be carried out on the number.
2. Carry out a mathematical process on the number to be converted to a percentage
If the number to be converted to a percentage is a decimal number like 0.57, you may not need to do anything to it before you go to the next step. However, if it is a fraction like 3/20, you should first divide the numerator (3 in this case) by the denominator (20 in this case) to get a decimal number.
3. Multiply the result of the mathematical process by 100
If you are required to convert a decimal number like 0.57 to a percentage, you are to simply multiply it by 100. That is, 0.57 x 100 = 57. Therefore, 0.57 as a percentage = 57% or 57 percent. Another example of converting a decimal to a percentage is 0.03 x 100 = 3% or 3 percent.
However, if you are required to convert 3/20 to a percentage, you should divide 3 by 20 = 0.15. Then multiply 0.15 by 100 = 15% or 15 percent.
Another example is if you are to convert 5/10 to a percentage, you should divide 5 by 10 = 0.5. Then, multiply 0.5 by 100. Therefore, 0.5 x 100 = 50% or 50 percent.
Evaluate the expression when c=4 and d=8.
5c+d
I think it is helpful for you!!!!
Please make me brainliest..
Answer:
5c + d
putting value of c and d,
5 × 4 + 8
20 + 8
28
HOPE THIS HELPS YOU
HAVE A NICE DAY
6x + 19x =
A. 25x
B. 25 x 2
C. 26 x
D. 26x2
Answer:
25x
Step-by-step explanation:
6x and 19x are like terms so we can add them
6x+19x = 25x
find area and perimeter
Answer:
Area = 18×(6+9) + (11×9)
= (18×15) + 99
= 270 + 99
= 369m²
Perimeter = 2(18+11) + 2(15)
= 2(29) + 30
= 58 + 30
= 88m
I need help with this question
Answer:
ijjjjjjjhgd ghhhh gghh
1.2 1,4
How would the possible x values change if
Samantha had to pay $7.50 each month instead of
$15 every two months? How would the graph
change?
Find the equation of the line.
A line that is parallel to the graph of 2x+3y=5 and contains the point (3,1)
Answer:
2x + 3y = 6
Step-by-step explanation:
The equation of a line in slope- intercept fprm is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = 5 ( subtract 2x from both sides )
3y = - 2x + 5 ( divide terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes, then
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (3, 1 ) into the partial equation
1 = - 2 + c ⇒ c = 1 + 2 = 3
y = - [tex]\frac{2}{3}[/tex] x + 3 ( multiply through by 3 to clear the fraction )
3y = - 2x + 6 ( add 2x to both sides )
2x + 3y = 6 ← equation of parallel line