Step-by-step explanation:
using a positive exponent
4^-9 = 1/ 4^9
__________
[tex] \: [/tex]
[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]
Step by step :[tex] {4}^{ - 9} = ...[/tex]
[tex] \longmapsto \frac{1}{ {4}^{9} } [/tex]
[tex] \longmapsto \frac{1}{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4} [/tex]
[tex] \longmapsto \blue{ \frac{1}{262.144}} [/tex]
A quiz consists of 570 true or false questions. If the student guesses on each question, what is the mean number of correct answers?
Answer:
285
Step-by-step explanation:
570/2=285
true or false means theres a 1/2 possibility you guess right thats why you divide by 2
The mean number of correct answers to 570 true or false questions will be 285.
What is the expected value?In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
For the true or false, the probability of getting correct is given as,
p = 1/2
There are 570 true or false questions in a quiz. If the pupil guesses for each inquiry. Then the expected value is given as,
E = 570 x (1/2)
E = 285
The mean number of correct answers will be 285.
More about the expected value link is given below.
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whats 25.28 in expanded form
Susannah is buying lunch for her friends at a restaurant. The bill is $50, and she wants to
leave an 18% tip.
Answer:
she tips $9
Step-by-step explanation:
round to nearest 10 place
318
4271
18293
Answer:
318-320
4271-4270
18293-18290
The difference between two numbers is 7. The sum of twice the larger number and three times the smaller number is 19.
Answer:
x= 8 y= 1
Step-by-step explanation:
First, you identify your variables:
x= larger number
y= smaller number
Second, you find your equations:
x - y = 7
2x + 3y = 19
Third, (I used the substitution method) you make "y" by itself for the 1st equation.
y = x - 7
2x + 3y = 19
Then, you plug in the 1st equation for "y" in the 2nd equation
2x + 3(x - 7) = 19
Then, you distribute and simplify.
2x + 3x - 21 = 19
5x - 21 = 19
5x = 40
x = 8
Finally, you plug in the variable you found ( x ) into one of the equations and solve,
8 - y = 7
- y = -1
y = 1
whats the circumference?
Answer:
40.82
Step-by-step explanation:
3.14 times 13
Carmen made $192 for 12 hours of work.
At the same rate, how many hours would she have to work to make $128?
Answer:
= 12 miles per hour
Step-by-step explanation:
This is a fraction equal to
30 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
30 miles ÷ 2.5
2.5 hours ÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
Solve each system.
3x – y = 5
4x – 2y = 4
Answer:
x = 3
y = 4
Step-by-step explanation:
y = 3x -5
4x - 2(3x-5) = 4
4x - 6x + 10 = 4
-2x = -6
x = 3
y = 4
Joseph and Sanjay are trying to finish their math homework before their favorite TV show starts. Joseph finishes 2/3 of his problems. Sanjay finishes 5 out of 7 of his problems. Who finishes a greater fraction of his problems in time?
Joseph or Sanjay?
HELP! WILL GIVE BRANLIEST!
Answer:
x=16 would be the angle measures.
Can a polygon have four sides and three angles
No a polygon only has 3 sides and 3 angles.
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?
Answer:
The Answer is C
Step-by-step explanation:
Triangle ABC is similar to triangle DEF. Find the measure of side DE. Round your
answer to the nearest tenth if necessary.
8
B
F
31
E
Ď
13-7
D
Answer:
53.1
Step-by-step explanation:
They're equal, so 8 = 31 and 13.7 = x
8/31 = 13.7/x
31(13.7) / 8 = 53.0875
Round your answer to nearest tenth to get 53.1
The rounded length of DE is 53.1.
What is similar triangles?
Similar triangles are triangles that have the same shape, but their sizes may vary.
What is the measure of DE?The both the triangles are similar, so the side length CB will be equal to FE and the side length AB will be equal to DE. Hence, the equation formed will be,
[tex]\frac{8}{31}=\frac{13.7}{DE}[/tex]
On solving this equation, we have DE=53.0875.
Therefore, the rounded length of DE is 53.1.
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Ive been asking too many questions but Im really dmb so heres another one
Answer:
12(6)/2
B: 36
Step-by-step explanation:
Mrs.beck shops from the clearance rack of dresses.The stem and leaf plot represents the sale prices of dresses in Mrs.becks size.What statement is true?
F: 20 percent of the dresses cost more than $50
G:one-fifth of the dresses range in price from $30 to $40
C:Fifteen percent of the dresses cost less than $20
D:Four percent of the dresses cost $65
Answer:
The answer is F
Step-by-step explanation:
If m=7 and r = 12, what is the value of the following algebraic expression
4m + 7r-5
two companies working together can clear a parcel of land in 9 hours. working alone,it would take company A 3 hours longer to clear the land than it would company B. How long would it take company B to clear the parcel of land alone ( round your answer to the nearest tenth.)
Answer:
.33
Step-by-step explanation:
A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
Please anyone help me on this
Can you type what it says I can't see it that well.
i cant really see the question
1. Discriminate the solutions of the following quadratic equations.
(1) [tex]x^2+5x+3+a=0[/tex]
(2) [tex]x^2+(a+b)x+ab=0[/tex]
(Please show the steps if possible)
HELP ME DUE IN 2 HRS!
Greg Biffle won the Samsung/Radio Shack 500 NASCAR race at the Texas Motor Speedway in April 2005. His average speed was 130 miles per hour. How many feet per second is this? Round to the nearest hundredth.
Answer:
190.67 ft/sec
Step-by-step explanation:
130 mi/hr x 5280 ft/mi x 1/60 hr/min x 1/60 min/sec = 190.67 ft/sec
It makes more sense if you write these as fractions and cancel units.
Find the product? y ^4 · y ^3
Answer:
if it will help
y^7
Step-by-step explanation:
y^4+3 = y^7
What is the mode of the data set ?
3,3,5,5,5,7,7,8,15,15
Answer:
5
Step-by-step explanation:
the mode is the number that appears most frequently on a data set.
Answer:
5
Step-by-step explanation:
SIMPLE QUESTION! Multiply 3x^2(5x^3)
Answer:
15x^5
Step-by-step explanation:
That's the answer I got im pretty sure it correct
Juan has four ties, three shirts and four pairs of pants. How many different outfits can he wear if he chooses one Tie, one shirt, one pair of pants of each outfit?
Answer:
48 outfits
Step-by-step explanation:
Using Fundamental Principal of counting
number of outfits that Juan can wear
=number of ties * number of pants * numberof pants
=4*3*4
=48 outfits
The number of different outfits can he wear if he chooses one Tie, one shirt, one pair of pants for each outfit is 48 outfits.
What is the combination?The arrangement of different things or numbers in a number of ways is called a combination.
A permutation is an orderly arrangement of things or numbers. Combinations are a way to choose items or numbers from a collection or group of items without worrying about the items' chronological order.
Given that Juan has four ties, three shirts, and four pairs of pants.
Using the Fundamental Principle of counting,
Number of outfits that Juan can wear
N =number of ties x number of pants x number of pants
N =4 x 3 x 4
N =48 outfits
Therefore, the number of different outfits can he wear if he chooses one Tie, one shirt, one pair of pants for each outfit is 48 outfits.
To know more about permutation and combination follow
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What is the gross earnings for a person who has $26,480 in total sales,
$1250 in Returns and Allowances, and a rate of commission of 7%?
Answer:
$3103.6
Step-by-step explanation:
Given data
Total sales= $26,480
Returns and Allowances=$1250
Commission = 7%
Let us find the amount in commission earned
=7/100*26,480
=0.07*26480
=$1853.6
Hence the gross earnings
=1853.6+1250
=$3103.6
help meeeeeeeeeeeeewweeeeew
Answer:
Homer is correct. ( also your teacher is pretty cool to have them on an assignment)
Step-by-step explanation:
2 negatives cancel eachother out. Negative 4 times negative 10 equals 40.
The admission prices for a small fair are $1.50 for children and $4.00 for adults. In one day there was $5050 collected. If we know that 2100 children paid admission, find the number of adults that paid admission.
Answer: 475 adults paid admission
Step-by-step explanation:
1.50c+4a=5050 (1.50 per child and 4 per adult)
1.50(2100)+4c=5050 (2100 children times 1.5 each)
3130+4a=5050
4a=1900
a=475
What is the value of n??
9514 1404 393
Answer:
73.6°
Step-by-step explanation:
The whole is the sum of the parts:
n = 44.5° +29.1°
n = 73.6°
Answer and Step-by-step explanation:
To find the value of n, we must add the two given angles first.
Why?
We add these two angles together because we are shown that angle n encompasses both angles, meaning that the value of n must be the combination of the angles added together.
29.1 + 44.5 = n
Add.
73.6° = n
The value of n is 73.6°.
#teamtrees #PAW (Plant And Water)
help please will give brainest.
Hi, you didn't add any picture or attached the info