Answers
Answer:
9. [tex] \frac{1}{10,000} = 0.0001 [/tex]
10. [tex] \frac{1}{81} [/tex]
Step-by-step explanation:
9. [tex] x^{-4} [/tex]
Evaluate when x = 10.
Substitute x = 10 into the expression
[tex] 10^{-4} [/tex]
Apply the negative exponent rule ([tex] a^{-n} = \frac{1}{a^n} [/tex])
Thus:
[tex] = \frac{1}{10^4} [/tex]
[tex] = \frac{1}{10^4} = \frac{1}{10,000} = 0.0001 [/tex]
10. [tex] 2a^{-1}b^{-3} [/tex]
Evaluate when a = 6 and b = 3
Substitute
[tex] (2*6^{-1})(3^{-3}) [/tex]
Apply the negative exponent rule
[tex] (2*\frac{1}{6})(\frac{1}{3^3}) [/tex]
[tex] (\frac{2}{6})(\frac{1}{27}) [/tex]
[tex] \frac{2*1}{6*27} [/tex]
[tex] \frac{1}{81} [/tex]
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Question : 9plugging the value of x as 10, we get
[tex]\longrightarrow\: \: x {}^{ - 4} [/tex]
[tex]\longrightarrow\: 10 {}^{ - 4} [/tex]
[tex]\longrightarrow \dfrac{1}{10 {}^{4} } [/tex]
[tex] \longrightarrow\dfrac{1}{10000} [/tex]
[tex]\longrightarrow0.0001[/tex]
Question : 10plugging the value of
a as 6b as 3[tex]\longrightarrow2 {a}^{ - 1} b {}^{ - 3} [/tex]
[tex]\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3} [/tex]
[tex]\longrightarrow \dfrac{2}{6 \times 27} [/tex]
[tex]\longrightarrow \dfrac{2}{162} [/tex]
[tex]\longrightarrow \dfrac{1}{81} [/tex]
_____________________________
[tex] \\ \\ \mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Related Questions
23. The mean weight of trucks traveling on a particular section of 1-475 is not known. A state highway inspector needs an estimate of the mean. He selects a random sample of 49 trucks passing the weighing station and finds the mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons. What is probability that a truck will weigh less than 14.3 tons
Answers
Answer:
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution.
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.
Mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons.
This means that [tex]\mu = 15.8, \sigma = 4.2[/tex]
What is probability that a truck will weigh less than 14.3 tons?
This is the pvalue of Z when X = 14.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14.3 - 15.8}{4.2}[/tex]
[tex]Z = -0.36[/tex]
[tex]Z = -0.36[/tex] has a pvalue of 0.3594
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons
Hannah worked 26 of the math problem for the math competition. Van worked 35 of the math problem. How many math problem did they work together
Answers
26 + 35 = 61
Not sure if this is what your looking for but hope it helps
A probability model includes p(red)=2/7 and P(blue)=3/14. Select all the probabilities that could complete the model.
Answer Key:
A: P(green)= 2/7, P(yellow)=2/7
B: P(green)=3/8, P(yellow)=1/8
C: P(green)=1/4 P(yellow)=1/4
D: P(green)= 5/21 Pyellow)= 11/21 E. P(green)= 3/7 P(yellow)=1/14
Answers
Answer:
The answer is "Option D".
Step-by-step explanation:
In this question, the shape of the model is not declared that why we assume that it has four sides in which two sides are given that is:
[tex]\to P(red)=\frac{2}{7} \\\\\to P(blue)=\frac{3}{14}[/tex]
other probabilities are:
[tex]\to P(green)= \frac{5}{21} \\\\\to P(yellow)= \frac{11}{21}[/tex]
A point P moves such that it is three units from the point (3, 4). Obtain the
equation of the locus of P.
Answers
Answer:
Equation of a line at a distance of 2 units from xaxis is k = 2 So the locus is y = 2
Given f(x) = ex and g(x) = x -2, what is the range of (gºf)(x)?
Answers
Answer:
y>-2
Step-by-step explanation:
Answer on E2020
Answer:
The correct answer is D) y>-2
Step-by-step explanation:
Edge 2021.
Help fast please please help ASAP ASAP please please
Answers
9514 1404 393
Answer:
LA = 20π square units
SA = 36π square units
V = 16π cubic units
Step-by-step explanation:
The value of the radius is needed before any area calculations can be done. It can be found from the Pythagorean theorem:
r² + 3² = 5²
r = √(25 -9) = 4
__
The lateral area is given by the formula ...
LA = πrs . . . . . where r is the radius and s is the slant height
LA = π(4)(5)
LA = 20π square units
__
The surface area is the sum of the lateral area and the base area. The latter is the area of a circle of radius 4.
SA = πr² + LA
SA = π(4²) +20π = 16π +20π
SA = 36π square units
__
The volume is given by the formula ...
V = 1/3πr²h
V = 1/3π(4²)(3) = 16π
The volume is 16π cubic units.
Brainliest for correct answer asap
Answers
Answer:
A Positive Association
Answer:
The scatter plot has no association.
Step-by-step explanation:
As you can see, the provided scatter plot maintains ordered pairs that are neither positive nor negative; the line of best fit would be hard to determine by looking at this graph. Hope this helps; have a great day!
Every 2 seconds, the distance the mouse travels ___by ___feet!
Answers
(explanation)the numbers show that they increase going from 22 to 44 to 66. subtract 22 from either number (44 or 66) and youll get 22. add 22 to each number (44 and 66) and youll get the numbers 44 and 66, meaning the mouses travel increases by 22 feet.
What is the volume? Please help!!!!!!!!!!!!!
Answers
Answer:
volume = 440 cm³
Step-by-step explanation:
volume = (1/2)(8)(10)(11) = 440 cm³
7. Lines that intersect forming a square corner is called
a. Parallel lines b. Intersecting lines c. Perpendicular lines
Answers
Answer:
c. Perpendicular lines
Step-by-step explanation:
Is 0.6 greater than 0.85?? ( 4th grade work)
Answers
Answer:
No its not
Step-by-step explanation:
Answer:
No, 0.85 is greater.
Step-by-step explanation:
Imagine a number line, with one at the end and 0.1 at the other end. With .85, It would be closer to one, with 0.6 being behind 0.85. The only other reason that 0.6 is greater than 0.85 is if they are converted to fractions.
In ΔABC, a = 1.9 inches, b = 7.1 inches and c=7.4 inches. Find the measure of ∠B to the nearest degree.
Answers
Answer:
74°Step-by-step explanation:
Given ΔABC with:
a = 1.9 in, b = 7.1 in, c=7.4 inTo find
∠BSolution
Use the law of cosines
cos B = (a² + c² - b²)/(2ac)cos B = (1.9² + 7.4² - 7.1²)/(2*1.9*7.4)cos B = 0.283m∠B = accos (0.283)m∠B = 74° (rounded)What is the volume of this
Answers
Find all solution(s) of the quadratic equation x2 – 100 = 0.
Answers
Answer:
10 and -10
Step-by-step explanation:
difference of two squares:
x² - 100 = 0
(x + 10)(x - 10) = 0
x + 10 = 0; x = -10
x - 10 = 0; x = 10
Please help I will give brainily and more, NEEDING SMART PEOPLE
On the coordinate plane shown below, points
G and I
have coordinates (6 ,4) and (3 ,2), respectively.
1.) Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I on a coordinate plane. Use complete sentences to describe the strategy.
2.) Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
3.) Use the distance formula and the coordinates of points G and I
to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answers
Answer:Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
different approaches of Pythagoras theorem - Brainly.in
brainly.in/question/10516214
13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
Will you find the volume for 30 points?
Answers
Answer:
56
Step-by-step explanation:
Answer:
45.5
Step-by-step explanation:
5x7=35
3/2x3/2 = 4.5
7-3=4
4/2x3/2=6
35+4.5+6= 45.5
What point is 4 points from m
Answers
Answer:
A
Step-by-step explanation:
Have a nice day :)
Answer:
point A
Step-by-step explanation:
counting m 4 steps down to A
Which statement about this figure is true?
Answers
Answer:
We need the figure
Explanation:
Can't describe a figure with no knowledge on what is it like.
Answer:
It has no rotational symmetry
Hypothesis Testing is the use of statistics to determine the probability that a given claim is true. In Part II of this project, you will choose a data set, review claims and perform hypothesis testing and make a decision. You will then complete a write-up that includes the calculations. The government logs the number of documented births, deaths, marriages and divorces; however, it is possible to have undocumented cases. In part II of this project, you are going to test claims about total births, deaths, marriages and divorces. Deliverables Choose a Data Set. Go to https://www.cdc.gov/nchs/products/nvsr.htm (Links to an external site.) In the search bar type: Births, Marriages, Divorces, and Deaths screenshot of CDC website toolbar Pick a DataSet and download the PDF document and make note of the volume, number, and date. For example you could use the National Vital Statistics Reports, screenshot of National Vital Statistics Reports webpage Pick the same month/year combination for each data set. For example, choosing September of 2009. screenshot of example dataset Preliminary Calculations Create a summary table for 1. Live Births, 2. Deaths, 3. Marriages, and 4. Divorces highlighting the mean, median, sample standard deviation, minimum and maximum values for each the data sets. You will have FOUR tables using the list of values of each state, the District of Columbia and Puerto Rico (You will have 52 numbers for each data set). Summary Table for _________ Mean Median Standard Deviation Minimum Maximum Hypothesis Testing With the information that you gather from the summary tables, test the following (you can use excel when appropriate): Determine if there is sufficient evidence to conclude the average amount of births is over 5000 in the United States and territories at the 0.05 level of significance. Determine if there is sufficient evidence to conclude the average amount of deaths is equal to 6000 in the United States and territories at the 0.10 level of significance. Determine if there is sufficient evidence to conclude the average amount of marriages is greater or equal to 2500 in the United States and territories at the .05 level of significance. Determine if there is sufficient evidence to conclude the average amount of divorces is less than or equal to 4000 in the United States and territories at the 0.10 level of significance. For each of the tests above, in your report, be sure to— Clearly state a null and alternative hypothesis Give the value of the test statistic Report the P-Value Clearly state your conclusion (Reject the Null or Fail to Reject the Null) Explain what your conclusion means in context of the data. Lastly, propose and conduct your own test of hypothesis about the Birth, Death, Marriage and Divorce data that you have been analyzing. Make sure to follow the five steps above.
Answers
write the log equation as an exponential equation
Answers
Answer:
[tex](z+5)^{(3x+4)} = 9[/tex]
Step-by-step explanation:
Tip: When [tex]log_{a} b = c[/tex], [tex]a^{c} =b[/tex] is also true.
[tex]log_{z+5} (9) = 3x+4[/tex] | Original equation
[tex](z+5)^{(3x+4)} = 9[/tex] | Use tip
Answer:
z+5 3(x+4
This is your answer.
there are 12 dozen pencils in a gross. how many pencils are in 15 gross
Answers
Answer:
A gross refers to a group of 144 items (a dozen or a square dozen, 122). A great gross refers to a group of 1728 items (a dozen gross or a cubic dozen, 123). A small gross or a great hundred refers to a group of 120 items (ten dozen, 10×12).
I NEED HELP PLZ ( WILL GIVE BRAINLYIST) ( NO LINKS)
Answers
9514 1404 393
Answer:
66 cm²
Step-by-step explanation:
The area of the polygon is the sum of the areas of the triangle and the rectangle it sits on. The dimensions of the triangle can be found by examining the top/bottom dimensions shown and the left/right dimensions shown.
The width (base) of the triangle is the difference between the lengths of the bottom and top horizontal lines: (12 -9) cm = 3 cm.
The height of the triangle is the difference between the lengths of the left and right sides of the figure: (9 -5) cm = 4 cm.
The dimensions of the rectangle are shown a the bottom and the left sides of the figure.
triangle area = 1/2bh = 1/2(3 cm)(4 cm) = 6 cm²
rectangle area = LW = (12 cm)(5 cm) = 60 cm²
Total polygon area = 6 cm² + 60 cm² = 66 cm²
A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Street Journal, October 14, 2010). A year later, a researcher samples 200 Americans and finds that 51 of them use only cell phones for making phone calls.Set up the hypotheses in order to determine whether the proportion of Americans who solely use cell phones to make phone calls differs from 23%.
Answers
Answer:
We accept H₀ sample does not give evidence to support that the proportion of Americans who solely use cell phone differs from 23 %
Step-by-step explanation:
A pew research finds that 23 % ( μ ) of Americans use only cell phone
Sample Information
sample size n = 200
x₁ = 51 then p₁ = 51/200 p₁ = 0,255
and q₁ = 1 - p ₁ q₁ = 1 - 0,255 q₁ = 0,745
Sample big enough for the approximation of the binomial distribution to the normal distribution
p₁*n = 0,255 * 200 = 51 > 5 and q₁*n = 0,745* 200 = 149 > 5
Test hypothesis
Null hypothesis H₀ p₁ = μ = 0,23
Alternative hypothesis Hₐ p₁ ≠ 0,23
Is a two tail test. We choose CI = 95 % then significance level is α = 0,05 %
α = 0,05 as is a two tail test α/2 = 0,025
from z-table z(c) = 1,96
To calculate z(s) = ( x - μ ) /√p₁*q₁/n
z(s) = ( 0,255 - 0,23 )/√0,255*0,745/200
z(s) = 0,025 / 0,0308
z(s) = 0,81
Comparing z(s) and z(c)
z(s) < z(c) 0,81 < 1,96
Then z(s) is in the acceptance region: we accept H₀
Given that v = (5,-4,4) and w = (9,-2,7) evaluate v • w.
A. 81
B. 19
C. (45,8,28)
D. (-40,-16,-8)
Answers
Answer:
81
Step-by-step explanation:
Evaluating v • w
Recall: Given vectors a and B in Cartesian plane, x, y and z
vector a = [ax ay az] and b = [bx by bz]
The dot product is :
a•b = axbx + ayby + azbz
Using the relation above,
v • w = (5*9) + (-4*-2) + (4*7)
v • w = 45 + 8 + 28
v • w = 81
Hence, v • w = 81
-2 is the ________ of 2
Answers
Answer: -2 is the numerical opposite of the number 2. Any numbers opposite is it's negative form. (except for 0 due to there being no opposite for something that is not negative or positive.)
i will mark you brainless if you can solve this
Answers
Answer:
1.cube
6faces
2.i can't understand it what is it but I think rectangle
3.i think it's pyramid if it is it has
5 faces
3. cone
1 face
grand pa gave $35 to linda and diane. linda received $19. find the ratio of the amount of money linda received to the amount of money diane received
Answers
I NEED HELP FAST> THIS PROBLEM IS SO CONFUSING!! the ^ mean exponents
after simplifying, what will x be equivalent to? (a^4)^6=a^x
Answers
Answer:
x will be equivalent to 24
Step-by-step explanation:
apply the multiplication rule to the exponents in (a^4)^6
4 times 6= 24, so (a^4)^6 is equivalent to a^24
solve for x i will give brainlest
Answers
Answer:
[tex] \displaystyle x = 3.97[/tex]
Step-by-step explanation:
we are given a exponential equation
[tex] \displaystyle {3}^{x} = 78[/tex]
we want to figure out x
remember that,
[tex] \displaystyle \log_{a}( {a}^{c} ) = c[/tex]
thus
take [tex]\log_3[/tex] both sides:
[tex] \displaystyle \log_{3}( {3}^{x} ) = \log_{3}(78) [/tex]
use the formula:
[tex] \displaystyle x = \log_{3}(78) [/tex]
by using calculator
[tex] \displaystyle x = 3.97[/tex]
What is the value of q?
s
O 4,5
O2/14
s
O 20/5
R
r
O 64/5
4
T
10
Answers
Answer:
the value is 36
Step-by-step explanation: so you add
The value of q is 36 in the equation q+9=45
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is q+9=45
q plus nine equal to forty five
We have to find the value of q
Plus is the operator
q is the variable
Subtract 9 from both sides
q=45-9
q=36
Hence, the value of q is 36 in the equation q+9=45
To learn more on Equation:
https://brainly.com/question/10413253
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Find the value of q in equation q+9=45