Answer:
C
Step-by-step explanation:
To convert milli- to kilo-, move the decimal point six places to the left
b) Identify three common multiples of
54 and 36
Answer:
3, 2, 6
Step-by-step explanation:
For each of the following, write the equation of the line determined by the given pair of points in slope-intercept form or in the form xa or yb.
a. Given:
(-4, 2) and (2, -4)
To find the equation of a line in the slope-intercept form:
Using the formula,
\(\begin{gathered} \frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} \\ \frac{y-2}{-4-2}=\frac{x-(-4)}{2-(-4)} \\ \frac{y-2}{-6}=\frac{x+4}{6} \\ \frac{y-2}{-1}=\frac{x+4}{1} \\ y-2=-x-4 \\ y=-x-4+2 \\ y=-x-2 \end{gathered}\)Hence, the equation of the line is, y=-x-2.
The average low temperatures in international falls minnesota are shown in the graph f(x) represents the function that contains these points find each of the following
The Relative Maximum will be (7, 50) and minimum is (12, 0).
We have the graph showing average low temperatures in international falls minnesota.
From the graph the maximum y coordinate is 50.
So, the Relative Maximum will be (7, 50).
and, the minimum y coordinate is 0.
So, the Relative minimum is (12, 0)
Learn more about Relative Maximum and Minimum here:
https://brainly.com/question/29158306
#SPJ1
Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
Read more on domain here: brainly.com/question/9765637
#SPJ1
A student’s IQ score is in the 91st percentile on an intelligence scale. Make an observation about the student’s IQ score
Answer:
It means his IQ score is better than 91% of the other students scores and scored less than only 9% of the other students.
Step-by-step explanation:
Percentile is not the same as percentage. While percentage is the score gotten out of 100, whereas, percentile means that you are scored better than that percentage of people.
Thus, for his IQ score to be in 91st percentile, it means he scored above 91% of the other students, and only scored lesser than 9% of the students.
Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see whether the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What are a Type I error and a Type II error in this context?
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, and the designer concludes that it is made of less than 75% gold.
Type I error: The gold shipment truly is made of 75% gold, and the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Answer:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Step-by-step explanation:
Edge 2021
The type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).
The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).
For this case, the hypotheses laid down are:
Null hypothesis: H₀ : The proportion of metal that is gold is 75%, Alternate hypothesis: H₁ : The proportion of metal that is gold is less than 75%.Thus, we get:
Type I error = False positive = Falsely accusing null hypothesis to be incorrect = Concluding that the proportion of metal that is gold is less than 75% when actually the proportion of gold is 75%.
Type II error = False negative = Falsely accepting the null hypothesis = Concluding that the proportion of metal that is gold is 75% when actually the proportion of gold is less than 75%.
Therefore, the type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.Learn more about type I and type II errors here:
https://brainly.com/question/26067196
For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 120 and a standard deviation of 8. What is the probability that a randomly
selected male's systolic blood pressure will be less than 108, to the nearest
thousandth?
Answer:
0.89
Step-by-step explanation:
The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.
What is Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here, mean = 110, standard deviation = 8
P = \(\frac{x_{mean}-x }{SD}\)
P = (110 - 108)/8
P = 2/8 = 0.25
P(Z<0.25) = 0.5 - 0.25 = 0.25
Thus, The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.
Learn more about Probability from:
https://brainly.com/question/14210034
#SPJ2
What fractions is in simplest form? 4/10, 15/18, 17/51, 9/21
Step-by-step explanation:
2/5
5/6
1/3
3/7
...........
Ms. Traynor's class is taking a field trip to the zoo. The trip will cost $28 for each student. There are 24 students in her class. What is a good estimate for the cost of the students' field trip? Use rounded numbers to find a good estimate. A good estimate for the cost of the trip is Ms. Traynor's class is taking a field trip to the zoo. The trip will cost $28 for each student. There are 24 students in her class. What is a good estimate for the cost of the students' field trip? Use rounded numbers to find a good estimate. A good estimate for the cost of the trip is
Answer:
672
Step-by-step explanation:
28x24= 672
Answer: 20 × 25 = 500 The total cost would be about $500
Step-by-step explanation:
Question 9
The probability that a vehicle will change lanes while making a turn is 55%.
Suppose a random sample of 7 vehicles are observed making turns at a
busy intersection.
Calculate the expected value.
Answer:
3.85 (rounded to 4 cars)
Step-by-step explanation:
Let X be the discrete random variable the number of vehicles changing lanes
X~B(7, 0.55)
The expected value is found by:
E(X) = 7 × 0.55
E(X) = 3.85
If x2 + y2 + z2 = 9, dx dt = 3, and dy dt = 9, find dz dt?
Answer:
dz/dt = -(3x + 9y)/z
Step-by-step explanation:
x² + y² + z² = 9
2x dx/dt + 2y dy/dt + 2z dz/dt = 0
x dx/dt + y dy/dt + z dz/dt = 0
x * 3 + y * 9 + z dz/dt = 0
so
dz/dt = -(3x + 9y)/z
I need help doing this, it is my last question on this and I need help with it
Answer: 290 inches squared
Step-by-step explanation: Break it down into easier potions such as...
18 x 7=126
13 x 4=52
16 x 7=112
Then add them for total area.
can anyone tell me what w is?
Answer:
w is a letter that u use in sentences
Step-by-step explanation:
Hi! "W" or "w" is the 23rd and fourth-to-last letter of the modern English and ISO basic Latin alphabets. It usually represents a consonant, but in some languages, it represents a vowel. Its name in English is double-u, plural double-ues. I hope this helps you! Good luck and have a great day/night. ❤️✨
1-27
What is the simplified version of Square root of -27
Answer:
3√3
Step-by-step explanation:
What is the area of the triangle?
Answer:
144.5
Step-by-step explanation:
Area of a triangle = one half of the base length times the height
The given base length is 17 cm and the given height is 17 cm
Hence, area = \(\frac{17*17}{2}\)
17 * 17 = 289
289 / 2 = 144.5
Area = 144.5cm²
Answer: 144.5
Step-by-step explanation:
The answer is correct because, the formula of a triangle is base times height divided by 2. Since the base and height is 17, we multiply 17 times 17. The answer for 17 times is: 289. Now we have to divide it by two. 289 divided by 2 equals: 144.5.
Hope This Helps!
factor 9x^4 -225y^8 10 points
Answer:
9(x² + 5y⁴) (x² - 5y⁴)
Step-by-step explanation:
9x⁴ - 225y⁸
factor out a 9
9(x⁴ - 25y⁸)
factor (x⁴ - 25y⁸)
(x⁴ - 25y⁸)
x² • x² = x⁴
5y⁴ • -5y⁴ = -25y⁸
(x² + 5y⁴) (x² - 5y⁴)
↓
9(x² + 5y⁴) (x² - 5y⁴)
50 Points!!!!
In the following triangle BD is a median.
Find x and the measure of CD.
Answer:x=24
CD= just 7
Step-by-step explanation:
f(x)= 4x2 -3x-16
find f(-2)
For the function f(x)=4x²-3x-16 then value of f(-2) is 6.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is f(x)=4x²-3x-16.
f of x equal to four times of x square minus three times of x minus sixteen.
We need to find the value of f(-2).
We need to replace the value of x with -2.
f(-2)=4(-2)²-3(-2)-16.
=4(4)+6-16
=16+6-16
=6
Hence, the value of f(-2) is 6 for the function f(x)=4x²-3x-16.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ1
HELP ME PLEASE , ALOT OF POINTS, CHECK DOCUMENT! Show work
Answer:
x=8
Step-by-step explanation:
log4( x-6) +log4(x) = 2
We know that loga + log b = log (ab)
log4( x-6)(x) = 2
Raise each side to the base of 4
4^log4( x-6)(x) = 4^2
( x-6)(x) = 16
Distribute
x^2 -6x = 16
Subtract 16 from each side
x^2 -6x-16 = 0
Factor
(x-8) (x+2) =0
Using the zero product property
x-8=0 x+2 =0
x=8 x=-2
Checking, we cannot have the log of a negative number so -2 is not a solution
Answer:
x = 8
Step-by-step explanation:
log4(x - 6) + log4(x) = 2
log4[(x - 6) × x] = 2
x² - 6x = 4²
x² - 6x - 16 = 0
x² - 8x + 2x - 16 = 0
x(x - 8) + 2(x - 8) = 0
(x + 2)(x - 8) = 0
x = 8, -2
Log of negative numbers do not exist, so x is only 8
Triangles have a total of 180°. Use the triangle below to determine the value of X.
Answer:
3x=105
x=35
Step-by-step explanation:
40+3x+x = 180 (Angle sum property)
40 +4x=180
4x = 180-40
140
x = 140/4
=35
3x = 35 x 3
105
x = 35
If it was helpful please mark me as brainliest
Type the standard form of three hundred thousand two hundred one
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Standard form is numbers only.
Examples of standard numbers are 4, 225, or 9,002
A thousands number has 4 digits.
A hundreds number has 3 digits.
A tens number has 2 digits.
A regular number has 1 digit (itself).
Three hundred means 300.
Three hundred thousand, would be 300 times 1,000 (one thousand), or adding 3 zeros.
Two hundred is 200.
One is 1.
300 times 1,000 is 300,000.
300,000 and 200 is 300,200.
If the ones digit has a 1, then the number is 300,201.
Three hundred thousand, two hundred one written in standard form is 300,201.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Three hundred thousand, two hundred one written in standard form is 300,201.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
A thousand number has 4 digits.
A hundred number has 3 digits.
A tens number has 2 digits.
A regular number has 1 digit (itself).
Three hundred means 300.
Three hundred thousand would be 300 times 1,000 (one thousand), or adding 3 zeros.
Two hundred is 200.
One is 1.
300 times 1,000 is 300,000.
300,000 and 200 is 300,200.
If the one digit has a 1, then the number is 300,201.
Three hundred thousand, two hundred one written in standard form is 300,201.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
Financial institutions often offer lower auto loan rates for new cars than used ones. A local credit union advertises new car loans at 2.79% APR and used car loans at 3.29% both for up to 72 months.
Tyresa wants to buy a car but doesn’t want to spend more than $350 a month for a maximum of four years. What is the maximum loan amount she can take out for a new car and a used car using the advertised rates?
Use the formula, A = P[(1 + r/n)^nt - 1] / r/n(1 + r/n)^nt , where P is the monthly payment, r is the annual interest rate, n is the number times interest is compounded in one year, and t is the number of years. Show all of your steps.
Using the loan rates we know that the maximum loan amount Tyresa needs to pay for 4 years which is 48 months is $330.81 for the new car.
What are loan rates?The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount.
Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).
The annual cost of a loan to a borrower is referred to as the interest rate and is indicated as a percentage.
APR represents the total yearly cost of a loan to the borrower, including all fees.
The APR is stated as a percentage, just like an interest rate.
Thus, we discover that using the present value formula:
Pv = C[(1-(1+i)n/i)]
Now, calculate for the new car as follows:
Pv = 350[(1-(1+2.79%/12)2.79%/12)]
Pv = $15879.04
Loan amount each month: 15879.04/48 months = $330.81
Similarly, calculate for the old car as follows:
Pv = 350[(1-(1+3.29%/12)3.29%/12)]
Pv = $15721.34
Loan amount each month: 15721.34/48 months = $327.52
Therefore, using the loan rates we know that the maximum loan amount Tyresa needs to pay for 4 years which is 48 months is $330.81 for the new car.
Know more about loan rates here:
https://brainly.com/question/25793394
#SPJ1
6 and
The distance between the parallel sides of
the right trapezoid pictured below is:
A. 2
B. 3
C. 4
D. 5
The distance between the parallel sides of the right trapezoid is 3 units option (B) 3 is correct.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
It is given that:
The right trapezoid is shown in the picture.
From the picture,
The right angle triangle can be used to find the distance between the parallel sides of the right trapezoid.
Applying Pythagoras theorem:
The distance between the parallel sides = √(5² - 4²)
= √9
= 3 units
Thus, the distance between the parallel sides of the right trapezoid is 3 units option (B) 3 is correct.
Learn more about the trapezoid here:
brainly.com/question/8643562
#SPJ1
It is expected that 30% of the criminals in our prisons are violent offenders, 65% are nonviolent, and 5% are actually innocent. A sample of 300 inmates showed that 90 were violent offenders, 200 were nonviolent, and 10 were innocent. At the .05 significance level, can we conclude that the observed frequencies are different than the expected frequencies?
24. m/PQT if m/PQR = 25° and m/RQT = 11°.
m
13 degrees mPQT = 1 degree in internal angle .
An illustration of an internal angle?
Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three interior angles. Interior angles are sometimes defined as "angles enclosed in the interior region of two parallel lines when they are intersected by a transversal."mPQR=25 degrees , mRQT=11 degrees.
mPQT=PQR-RQT
MPQT=25-11=13 degrees
Learn more about interior angle
brainly.com/question/10638383
#SPJ9
What is lower quartile the median upper quartile for these numbers 1,3,4,6,6,8,9
Answer:
Step-by-step explanation:
Quartile means fourth
break up the numbers in to 4 groups, start by finding the middle numbers and split the numbers in half. Then split both of those two groups in half to find the quartiles.
Lower quartile is the group with the smallest numbers.
Median is the middle number (of the whole group).
Upper quartile is the group with the largest numbers.
Please help need this
Answer:
Step-by-step explanation:
Apply the exponent to the innermost parentheses.
(2r²t)³ = 2³(r²)³t³ = 2³r⁶t³
You are baking chocolate chip cookies. The recipe asks for 3 3/4 cups of flour and you want to make 2 times the original recipe.
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups