Answer:
x = 7
Step-by-step explanation:
Given equation,
→ 3x - 1 = 20
Now the value of x will be,
→ 3x - 1 = 20
→ 3x = 20 + 1
→ x = 21/3
→ [ x = 7 ]
Hence, the value of x is 7.
In a recent court case it was found that during a period of 11 years people were selected for grand jury duty and % of them were from the same ethnicity. Among the people eligible for grand jury duty, % were of this ethnicity. Use a significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, p-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the p-value method and the normal distribution as an approximation to the binomial distribution.
The Null and Alternative hypothesis are
Hₒ: π= 0.79
Hₐ: π > 0.79
Statistic Z = -26.38
P-value = 0
Conclusion : The null hypothesis is
rejected .
Final Conclusion : which implies that population proportion is different from
π= 0.79.. This sample proportion can notbe product of chance.
There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.
We have problem of proportion and we have to apply hypothesis testing in it .
We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .
Null and Alternative hypothesis are
Hₒ: π= 0.79
Hₐ : π> 0.79
The significance level is 0.01
The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42
The standard error is
σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014
Then we can calculate Z – value
Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387
P-value for this test statistic is 0
P-value (z<-26.38)= 0
P-value = 0 < 0.01
As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79
This sample proportion can not be product of chance.
There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.
#Complete Question:
In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?
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1. Which of the following equations exemplifies the Additive Identity Property?
A) 1+(7+8)=(1+7)+8
B) 8+1=1+8
C) 33+0=33
D) 14+3=7+10
2. Which of the following equations exemplifies the Multiplicative Identity Property?
A) 9.5x1=9.5
B) 3x10=2x15
C) 3x0=0x3
D) 9(5x6)=(9x5)6
i got A for 2. but im confused on the first
1. the equation that exemplifies the additive identity property is: C. 33 + 0 = 33.
2. The equation that exemplifies the multiplicative identity property is: A. 9.5 × 1 = 9.5.
What is the Additive Identity Property?The additive identity property states that the sum of adding zero to any number will give you the same number itself.
For example, 4 + 0 = 0.
What is the Multiplicative Identity Property?The multiplicative identity property states that a number multiplied by 1 will always give you a product that is the same number itself.
For example, 4 × 1 = 4.
1. The equation, 33 + 0 = 33, shows the additive identity property, because the sum is the same number itself after 0 is added to it.
2. The equation, 9.5 × 1 = 9.5, also shows the multiplicative identity property.
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What is the end behavior for the liner function?
Lines do not end, so there can not be an end behavior.
What is straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
The equation of the right sideline is y+8 = [tex]\frac{4+8}{2-0}[/tex] (x-0)
y+8 = 6(x -0)
y =6x - 8
Now the endpoint of the line is given so it will not extend indefinitely.
Hence the Lines do not end so there can not be an end behavior.
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Which value is the best approximation for the range in ages for the oldest 25% of viewers?
4
6
15
20
The best estimation for the range of the oldest 25% is 20, so the correct option is the last one.
Which value approximates the range for the oldest 25%?The graph is separated in four parts, each part represents a 25% of the population.
The oldest 25% would be the last segment (the line in the right of the graph).
The range is defined as the difference between the largest value and the smallest value.
The segment starts at:
a = 35
And ends at:
b = 55
Then the range is something like:
55 - 35 = 20
The correct option is the last one.
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Bacteria colonies can increase by 73% every 2 days. If you start with 55 bacteria microorganisms, how large would the colony be after 10 days?
Answer:
In order to complete the equation we need to use this method :
Future Amount = I(1+r)^t
I=Initial Amount
R=Growth rate
T=Time periods
Now that we know that....
Letsss seee:
You started with 55 so
Future Amount = 55(1+r)^t
The growth rate is 73% so we have to convert to decimal so
Future Amount=55(1+.73)^t
Time period is 73% every 2 days and you want to see how large the colony would be after 10 days so you do 10/2:
Future Amount=55(1+.73)^5
Future Amount therefore equals 852.301407 BUT You have to round to the nearest whole number Sooo
The Answer is 852.Step-by-step explanation:
Hope this helpss you Tony!
Answer:
How large would the colony be after 10 days?
852 is the answer.
Step-by-step explanation:
Simplify: 5-(x-4)
A.-x + 9
B.-x- 7
C.x+4
D.-x-4
⇒ [tex]=5-(x)-(-4)\\=5-x+4\\=-x+5+4\\=-x+9[/tex]
⇒Note the negative sign has to multiply every term in the brackets!
Option A is the answer
PLS HELP I DONT UNDERSTAND THIS-
Which types of classification does e fall under? Select all the different classifications.
A) Natural numbers
B) Whole numbers
C) Integers
D) Rational numbers
E) Irrational numbers
F) Real numbers
in a sale, prices are reduced by 12%. Hani bought a pair of boots for the sale price of £61.60. what was the original price of the boots?
Answer: $68.99
Step-by-step explanation:
12% of 61.60 is 7.39200, if you simplify the total, you would get 7.39. Then, you add the total with the sale price to get the original price. Which in this case is $68.99.
Swimming pool A holds 215 gallons
213 gallons of water. How many times as many gallons does pool a hold
than pool B? (Example 5)
2B times as many gallons does pool A hold than pool B.
What is gallons?
The gallon is a volumetric unit that is used in both imperial and American customary measurements.
The imperial gallon (imp gal), which is equal to 4.54609 liters and was once used in various Caribbean nations as well as the United Kingdom, Ireland, Canada, Australia, and Australia.
Given:
Swimming pool A has 2^15 gallons of water.
Swimming pool B has 2^13 gallons of water.
We have to find the number of times pool A hold than pool B.
It is obvious that Swimming Pool A holds more water than Swimming Pool B.
Consequently, we must determine how many times as many gallons Pool A holds as Pool B:
2^15 > 2^13.
Therefore,
A = 2^15, B = 2^15
[tex]A = (\frac{2^1^5}{2^1^3}) B = 2B\\ A = 2B[/tex]
Hence the proof.
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Describe the characteristics of each set of numbers
that make up the set of integers.
Positive and negative numbers are included in the category of integers, which is distinct from decimals and fractions.
What in math is an integer?
A whole number that can be positive, negative, or zero is called an integer. It is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers.There are numerous types of numbers, including integers, whole numbers, rationals , real numbers, and natural numbers. Positive and negative numbers are included in the category of integers, which is distinct from decimals and fractions. It has the following qualities:
Numbers below zero are considered negative numbers.
In the set of integers, zero is included.
There are overlaps between the number categories.
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EASY POINTS WILL GIVE BRAINLIST TO BEST ASWER!!
write the slope intercept form of the equation of the line through the given point with the given slope
through (-1, -4) slope = 5
Answer:
y=5x+1
Step-by-step explanation:
we already know the slope so we can put it in the slope intercept form
y=5x
And now we can put the coordinate points in there to find the y intercept
-4=5(-1)
-4=-5
We need to add 1 to make this equation true so the y intercept is 1
The equation will be
y=5x+1
Hopes this helps please mark brainliest
Answer:
y=5x+1
Steps are in the picture
The price of a gallon of gasoline is $2.25. The price when Ryan's mother started driving was 1/5 of the current price. What was the price of gasoline when Ryan's mother started driving?
The price of gasoline when Ryan's mother started driving is $0. 45
What is a fraction?A fraction can be defined as the part of a whole set, data or element.
The different types of fractions include;
Improper fractionsProper fractionsMixed fractionsSimple fractionsComplex fractionsExample of mixed fractions; 2 1/ 3
Example of simple fractions; 1/ 2
Example of proper fractions; 2/5
From the information given, we have;
Price of a gallon of gasoline is $2. 25
1/ 5 of $2.25
This is represented as;
1/ 5 × $2.25
Multiply the values
$0. 45
Hence, the value is $0. 45
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Isosceles Trapezoids in Summary
Check ALL of the statements that are ALWAYS true about ISOSCELES TRAPEZOIDS.
(Select all that apply.)
1. SIDES: One pair of opposite sides are parallel.
2. SIDES: One pair of opposite sides are congruent.
3. SIDES: A pair of adjacent sides are congruent.
4. ANGLES: Sum of the angles is 360°.
5. ANGLES: One set of opposite angles are congruent.
6. ANGLES: Consecutive angles are congruent.
7. ANGLES: All four angles are right angles.
8. ANGLES: Consecutive angles are supplementary.
9. DIAGONALS: One of the diagonals bisects the other.
10. DIAGONALS: Diagonals are congruent.
11. DIAGONALS: Diagonals intersect perpendicularly.
12. DIAGONALS: Diagonals bisect a pair of vertex angles of the shape.
The statements that are always true about Isosceles Trapezoids:
One pair of opposite sides are parallel.
One pair of opposite sides are congruent.
The sum of the angles is 360°.
Diagonals are congruent.
Diagonals intersect perpendicularly.
What is an isosceles trapezoids?
A convex quadrilateral having one pair of opposite sides divided by a line of symmetry is known as an isosceles trapezoid. It is a particular instance of a trapezoid. Alternately, it can be described as a trapezoid whose base angles and both legs are identical in size.
The true statements are:
One pair of opposite sides are parallel.
One pair of opposite sides are congruent.
The sum of the angles is 360°.
Diagonals are congruent.
Diagonals intersect perpendicularly.
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a client who weighs 70 kg is receiving a solution of 0.9% sodium chloride (normal saline) 500 ml with dopamine 800 mg at 5 ml/hour. how many mcg/kg/minute is the client receiving? (enter the numeric value only. if rounding is required, round to the nearest tenth.)
1.904 mcg/kg/min is what the client receives.
The number of mcg/kg/minute = flow rate × concentration ÷ mass of client
Flow rate = 12 ml/ hour = 12 /60 = 1/5 = 0.2 ml/min
Formula:
Concentration = mass of dopamine/volume
mass of dopamine = 800mg
volume = 500ml
Concentration = 800/ 500
= 1.6 mg/ml
= 1.6 × 1000 mcg/mg
= 1600 mcg/mg
Here the mass of the client = 70kg
Now calculating mcg/kg/minute = flow rate× concentration÷ mass of client
= 0.08 ml/min × 1600mcg/ml ÷70 kg
= 320/70
= 1.904 mcg/kg/min
Therefore mcg/kg/min is 1.904.
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3c + bc - 2a if a=6,b=4, and c=10
Answer:58
Step-by-step explanation:
Solve the inequality for x. Show each step of the solution for full credit. (3 points - 2 points showing work, 1 point correct answer)
7x+1/2 >4
The value of x in the Inequality (7x + 1)/2> 4 is x > 1.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤.
In this case, the inequality is given as:
(7x + 1)/2> 4
Cross multiply
7x + 1 > 2 × 4
7x + 1 > 8
Collect like terms
7x > 8 - 1
7x > 7
Divide
x > 7/7
x > 1
Therefore, x > 1.
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Zach took a science test. He answered 42 questions correctly and 8 questions incorrectly.
What percentage of the questions did Zach answer correctly?
Answer:
84%
Step-by-step explanation:
correct answers = 42
incorrect answers =8
total mark=50
% of the correct =
[tex] \frac{42}{50} \times 100 = 84[/tex]answer is 84%
2.3 Find measure of angle by finding x first
Solve for x.
I need help I have forgotten how to solve for x..
Answer:
x=5
Whole angle/9x=45
Step-by-step explanation:
sum of all three angles in a triangle is 180 degrees so we can add all of these angles together and set it equal to 180 like this
9x+65+70=180
Simplify
9x+135=180
Subtract both sides of 135
9x+135=180
-135. -135
9x=45
since 9x equals 45 that is how much the angle is
Divide both sides by 9 to find x
9x=45
/9. /9
x=5
Hopes this helps please mark brainliest
If 4x+5y=−5 is a true equation, what would be the value of 8+4x+5y?
Answer:
3
Step-by-step explanation:
[tex]4x + 5y = - 5 \\ 8 + 4x + 5y = {?} \\ 8 + - 5 \\ = 3 \\ 8 + 4x + 5y = 3[/tex]
if f(x) = 2x - 4 find f(a^2)
Answer: [tex]f(a^2)=2a^2-4[/tex]
Step-by-step explanation:
Substituting [tex]a^2[/tex] for [tex]x[/tex], [tex]f(a^2)=2a^2-4[/tex].
Can someone do this please I need help
Answer:
all are 0
thats why you should do y+4=4-7=×-7=×+4=0
Answer:
for #2 do b
Step-by-step explanation:
3-107. Find common denominators and calculate each of the following sums.
b. +3
What is the least common multiple of 8 and 4? Of 5 and 3?
T
d. Explain how finding the least common multiple of two numbers can help
you add fractions.
Answer:
LCM(8,4)=8.LCM(5,3)=15. LCM can be used to create equivilant fractions, meaning you can add fractions with much more efficiency.
Step-by-step explanation:
Find g(x), where g(x) is the translation 1 unit left of f(x)=9x–8.
Where g(x) is the translation 1 unit left of f ( x ) = 9x – 8 then g(x) is
g (x ) = 9x + 1What is translation?Translation refers to a type of transformation that involve a straight line movement.
Movements as seen in translation includes
leftrightupdownThe up and down movements are on the vertical direction controlled by the y coordinate.
The left and right movements are on the horizontal direction controlled by the x coordinate.
When translating a graph, adding units moves the graph to the left and removing units moves the graph to the right.
hence we say
f(x) = 9x – 8
g(x) = f(x + 1)
= 9(x+1) – 8
= 9x + 9 - 8
= 9x + 1
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K =
√2abc
1 + a²-b(squared)+c² - 5b
If a = 4, b = -2 and c = -1
evaluate K
K=
What is the equation of the line that passes through the point (1, -3) and has a
slope of -3?
The equation of the line is, y = -3x.
What is point slope form of the line?
A line's point slope form equation is y - y1 = m(x – x1). Consequently,
y - 0 = m(x - 0), or y = mx, is the equation of a line passing through the origin with a slope of m.
Let the line passes through the point (1, -3) and having slope of -3.
Consider, the point slope form of the line,
[tex]y-y_1=m(x-x_1)[/tex]
Plug, [tex](x_1, y_1) = (1, -3), m = -3[/tex]
So, the above equation becomes
[tex]y-(-3)=-3(x-1)\\y+3=-3x+3\\y=-3x+3-3\\y=-3x[/tex]
Hence, the equation of line that passes through the point (1, -3) and having slope -3 is y = -3x.
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a triangle has sides with lengths of 10meters, 16 meters and 20meters. is it a right angled triangle
Answer:
It is not a right triangle.
Step-by-step explanation:
If the triangle were a right triangle, then the Pythagorean theorem would apply.
The Pythagorean theorem says: [tex]A^{2} + B^{2} = C^{2}[/tex]
If A = 10, B = 16, and C = 20, then [tex]10^{2} + 16^{2} = 20^{2}[/tex].
[tex]10^{2} + 16^{2} = 100 + 256 = 356[/tex]
[tex]20^{2} = 400[/tex]
In conclusion, [tex]356 \neq 400[/tex], so this triangle is not a right triangle.
An arithmetic sequence a starts 24, 20,... Explain how you would calculate the value
of the 20th term.
Answer:
Step-by-step explanation:
first you need to find the nth term
that would be -4n+28
then you just need to substitute 20 into the position of n
-4*20 = -80
-80+28=-52
Which equation represents a line which is perpendicular to the line y=2x-5y
Answer:
Step-by-step explanation:
y=-3x
I could be wrong, but I hope it helps at
Delilah has assets that total $56,326 and liabilities that total $32,129. What is her net worth?
The net worth of Delilah given the assets and liabilities will be $24197.
How to calculate the net worth?From the information given, Delilah has assets that total $56,326 and liabilities that total $32,129.
It should be noted that the formula to calculate the net worth will be:
= Assets - Liabilities
= $56,326 - $32,129
= $24197
The net worth is $24197.
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let x represent one number and let Y represent another number.
The sum of two numbers is -7.
If one number is subtracted from the other, their difference is 11.
Use the given conditions to write a system of equations.
Solve the system and find the numbers
Answer:
c I got you ok answer c
Step-by-step explanation:
bc I got this correct
Answer:
Its D, x+y=-7;x-y=11. Also Part 2 is 2,-9
Step-by-step explanation:
Just did it Pearson 2022
