Answer:
C. 3i✓3
Step-by-step explanation:
Which choice is equivalent to the expression below?
✓-27
Square root of a negative value, so it will have a complex part.
We have that:
[tex]\sqt{-a^2} = ai[/tex]
In this question:
The square root of -27 can be factored as:
[tex]\sqrt{-27} = \sqrt{3(-9)} = \sqrt{3}\sqrt{-9} = 3i\sqrt{3}[/tex]
So the correct answer is given by option C.
The distance between City A and City B is 500 miles. A length of 1.7 feet represents this distance on
a certain wall map. City C and City D are 2.72 feet apart on this map. What is the actual distance
between City C and City D?
The actual distance between City C and City Dis miles.
Answer:
799.99999 or 800 miles.
Step-by-step explanation:
You first need to find the conversion rate, so you divide 500 by the number representing it on the map, that being 1.7 feet. Once you've done this, you will get a conversion rate of 294. Now that you have the conversion rate, you multiply your second number, 2.72. This will give you your answer of 799.68 miles, which can be rounded up to 800 miles.
answer this please!!!
Answer:
yes. It's a right triangle.
Step-by-step explanation:
According to the Pythagoras theorem,
a² + b² = c²
20² + 21² = 29²
400 + 441 = 841
841 = 841
LHS = RHS
Please answer soon!!!
Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:
Answer:
ln(2) - ln(7)
Step-by-step explanation:
Logarithmic expressions are represented using ln or log keywords
The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
The expression is given as:
[tex]\mathbf{ln(2/7)}[/tex]
The quotient rule of logarithm states that:
[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]
So, by comparison:
a = 2, and b = 7
So, we have:
[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]
Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
Read more about logarithms at:
https://brainly.com/question/9665281
A dealer buys articles for R7500 and makes the price 30% higher.
What is the selling price of the articles?
Answer:
9750
Step-by-step explanation:
profit amount = 30% of R 7500
= 30/100 *R 7500
= 2250
now
sp = R 7500 + R 2250
= R 9750
use the graph to answer the question giving brainlest
Answer:
I only know two sorry
A. -6
B.
C. Increasing
D.
E.
Help please!!
Brainliest if right
Answer:
top and bottom
Step-by-step explanation:
Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24.5%. A Gallup poll examined the rate of obesity in adults in the United States with a survey of 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. The shape of the sampling distribution for the sample proportion when taking samples of size 86,664 from this population follows a ____________ distribution.
Answer:
Normal distribution.
Step-by-step explanation:
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Samples larger than 30, which means that the sampling distribution for the sample proportion follows a normal distribution.
The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20. Estimate the percent of the data that are less than 150 or greater than 190.
Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.
----------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
----------------------------
The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.
This means that [tex]\mu = 170, \sigma = 20[/tex]
----------------------------
Less than 150:
As a proportion, it is the p-value of Z when X = 150, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 170}{20}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.16.
0.16x100% = 16%
----------------------------
More than 190:
As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{190 - 170}{20}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
1 - 0.84 = 0.16
0.16x100% = 16%
----------------------------
Estimate the percent of the data that are less than 150 or greater than 190.
We add both percentages, thus:
16% + 16% = 32%
32% of the data that is less than 150 or greater than 190.
A similar question is given at https://brainly.com/question/14694610
The hypotenuse of a 30°-60°-90° triangle is 6.
A. Find the lengths of the two legs of the triangle.
B. Find the perimeter.
Answer:
H=6 sin 30=3cm
Step-by-step explanation:
3²+x²=6²
X²=36-9
√x²= 27
X=5.1962
Per=6+5.1962+3= 15.1962cm
If x = 2, then which of the following equations makes a TRUE statement?
a.4x + 9 = 20
b.-4x + 5 = -3
c.-3x + 15 = 21
d.5x – 15 = 5
Answer:
Answer is B
Step-by-step explanation: −4x + 5= −3
1. Subtract 5 from both sides −4x +5 −5 = −3 −5
2. You remain with this −4x = −8
3. Divide both side by -4. -4x/-4 = -8/-4
4. Answer will be x = 2
1. 0.5
2. 14
3. 8
4. 10
Answer:
The awnser is 14
Step-by-step explanation:
If you multiply length x width then divide u get 14
What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
because it has two parallel side and and other are just lines but being quadrilateral its sum is 360
Use a calculator to find the natural logarithm, base e.
In 744.1
Answer:
6.612175434403215
Step-by-step explanation:
This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1
Census data from a city of 80,000 residents produced the income distribution shown here:
110
60
Income (thousand dollars)
Suppose that we were to take random samples of 5 residents from this population and calculate the sample
mean income of the residents in each sample.
What will be the shape of the sampling distribution of the sample mean?
Answer:
Skewed to the right
Look at dis \/
The shape of the sampling distribution of the sample mean will match the shape of the parent population since the sample size is small (n=5<30), although it will be closer to normal than the parent population is.
----------------------------------------------------------------------------------------------------------
----------------------------------------------------------------------------------------------------------
----------------------------------------------------------------------------------------------------------
----------------------------------------------------------------------------------------------------------
----------------------------------------------------------------------------------------------------------
----------------------------------------------------------------------------------------------------------
----------------------------------------------------------------------------------------------------------
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
whats going on ;)
I need help with the answer.
On a school field trip, there will be one adult for every 12 students. Which equation could be used to find “a”, the number of adults, if “s”, the number of students, is unknown?
a) a= 12s
b) a= 12/s
c) a= s/12
d) s + 12
please please please help!
Answer:
a) a = 12s
Step-by-step explaination:
Professor Gym conducts a study in which he determines that there is a correlation of +1.32 with 15 degrees of freedom between the speed of a dodge ball and the welt inflicted on the arm of the dodge ballers. He has now come to you for help with interpreting his results. What can you tell him?
Answer:
Formula
r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}
r = correlation coefficient
x_{i} = values of the x-variable in a sample
\bar{x} = mean of the values of the x-variable
y_{i} = values of the y-variable in a sample
\bar{y} = mean of the values of the y-variable
now try btw use a calcutator
Adam bought 6 yogurt cups for $8. Which of the following represents a higher unit rate than what Adam paid?
a. 4 yogurt cups for $6
b. 8 yogurt cups for $10
c. 10 yogurt cups for $12
d. 12 yogurt cups for $14
Answer:
A, 4 yougurt cups for $6
Step-by-step explanation:
The reason I did the math myself. Sorry if its incorrect.
Find the surface area.
Answer:
1120
Step-by-step explanation:
area of triangle= 1/2★base★height
area of traingle =1/2★15★8=60
area of 2 triangle= 60+60=120
area of base rectangle= length ★breath
=15★25=375
area of slanting rectangle= 25★17=425
area of side rectangle=8★25=200
so total area= 120+375+425+200=1120
A rectangular billboard for a high school is 10 feet high and 20 feet long. In a scale model of the school, the billboard is 3.5 inches long.
How many inches tall is the scale model?
Answer:
I think 1.75
Step-by-step explanation:
the long side is two times the amount of the tall side so take the smaller long side and divide by two.
Which set of ordered pairs represents a function?
A {(22, 5), (23, 10), (22, 7), (23, 5)}
B {(22, 5), (26, 10), (23, 7), (23, 5)}
C {(22, 10), (23, 10), (24, 7), (25, 5)}
D {(24, 10), (23, 6), (22, 7), (24, 5)
Answer:
D
Step-by-step explanation:
the company is it a big company with you in my neighborhood that is a lot more expensive and more expensive to
An investigator wishes to estimate the mean number of flight hours of pilots who fly for regional airlines. Assuming that the standard deviation of the number of hours is 120 hours, the minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about
Answer:
The minimum sample size needed is 39.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the number of hours is 120 hour
This means that [tex]\sigma = 120[/tex]
The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?
The minimum sample size needed is n.
n is found when [tex]M = 50[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]
[tex]50\sqrt{n} = 2.575*120[/tex]
[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]
[tex]n = 38.19[/tex]
Rounding up
The minimum sample size needed is 39.
Is 7/2 the same as 1/5
Answer:
No.
Step-by-step explanation:
Calculation: 2/4 + 3/4 - fraction calculator. Result: 5/4 = 1 1/4.
Please help no link please help no links
Math 3rd grade can anyone explain why is 48 ?? I thought that we need to plus 6 top 6 bottom and each side is 8 why 8 because 6+2 is 8
So 6+6+8+8 = 24
Answer:
It's 48
Step-by-step explanation:
The entire area of the rectangle would be length times width
The width is six, and the length is 8
6 times 8 is 48
btw, its asking for area
Answer:
See, its divided into TWO squares/rectangles.
you have to solve with the numbers you have on each one.
so, for the covered in shade one, you do 6 times 2, which is 12.
for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.
for that one you do 6 times 6 which is 36.
now you add both of them.
36 + 12= 48.
You added them, you need to multiply them but do not mix both rectangles/ squares numbers until the end
PLS HELP answer all and the pictures, label them as the first 3, and the second one 4
1. Identify the solid by its description:
One triangular base and three lateral faces that are triangles
2. Identify the solid by its description:
Two parallel rectangular bases and four lateral faces that are rectangles
Answer:
Is a rectangular polygon because it has sides which are rectangleIt a polygon cone or a polygon pyramid because it has a base of a polygonANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
help please ! order the side lengths GH , HI , IG from least to greatest
Answer:
IH < IG < HG
Step-by-step explanation:
To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.
First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.
4/12×1/8 in simplest form
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]
What is the total area of the figure shown?
A)80ft2
B)74ft2
C)56ft2
D)42ft2
Answer:
B 74
Step-by-step explanation: