in the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?
Answer: -4/7
Step-by-step explanation:
To find the slope, let's change the equation to slope-intercept form.
[tex]4x+7y=9[/tex] [subtract both sides by 4x]
[tex]7y=-4x+9[/tex] [divide both sides by 7]
[tex]y=-\frac{4}{7}x+\frac{9}{7}[/tex]
Now, we know the slope is -4/7.
Your math test scores are 76, 85, 92, and 63. What is the lowest score you can earn on the next test and still achieve an average of at least 75?
Hey there! I'm happy to help!
We have 5 test scores that give us an average of at least 75.
76, 85, 92, 63, x
We add these all up and divide by 5 to get 75.
Let's go backwards to find x.
We multiply by 5.
75(5)=375
We subtract all of the numbers except for x.
375-76-85-92-63=59
So, you need to earn at least 59 on the next test to achieve an average of at least 75.
Have a wonderful day! :D
x/2 - 4=-16 wha would x equal
Answer: -24
Step-by-step explanation:
x/2= -16+4
x/2= -12
x= -12 x 2
x= -24
Answer:
x = -24
Step-by-step explanation:
Add the same term to both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
The following data represent the pulse rates (beats per minute) of nine students enrolled in a statistics course. Treat the nine students as a population. Complete parts (a) through (c). Student Pulse?
Perpectual Bempah 64?
Megan Brooks 77?
Jeff Honeycutt 89?
Clarice Jefferson 69?
Crystal Kurtenbach 89?
Janette Lantka 65?
Kevin McCarthy 88?
Tammy Ohm 69?
Kathy Wojdya 87?
A) Determine the population mean pulse. The population mean pulse is approximately nothing beats per minute.
B) Determine the sample mean pulse of the following two simple random samples of size 3. Sample 1: StartSet Janette, Clarice, Megan EndSet, Sample 2: StartSet Perpectual, Clarice, Megan EndSet The mean pulse of sample 1 is approximately nothing beats per minute. The mean pulse of sample 2, is approximately nothing beats per minute.
C) Determine if the means of samples 1 and 2 overestimate, underestimate, or are equal to the population mean. The mean pulse rate of sample 1 (underestimates/ is equal to/ overestimates) the population mean. The mean pulse rate of sample 2 (is equal to/ underestimates/ or overestimates) the population mean.
Answer:
abcdefg
Step-by-step explanation:
A batch of 400 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement from the batch. 26. What is the probability that the second one selected is defective given that the first one was defective? HINT: Note that you are only calculating a probability for the second draw conditional on what happened in the first draw. 27. What is the probability that both are acceptable? 28. If three are selected without replacement, what is the probability that all three are defective?
Answer:
0.0100250
0.0001566
0.0000009445555
Step-by-step explanation:
Given the following :
Total number of containers = 400
Number of defective oranges = 5
2 are randomly selected without replacement :
A.) What is the probability that the second one selected is defective given that the first one was defective?
Since selection is without replacement and given that the first pick is defective ; number of defective oranges left = 4 ; total oranges left in container = (400 - 1) = 399
Hence,
Probability = (required outcome / Total possible outcomes)
P(2nd defective given 1st is defective) = 4 / 399
27. What is the probability that both are acceptable?
This means probability that both picks aren't defective.
Ist pick = 1 - P(defective) = (1 - (395/400) = 0.0125
2nd pick = 1 - P(defective) 1 - (394/399) = 0.0125313
.Hence, 0.0125 × 0.0125313 = 0.0001566
28. If three are selected without replacement, what is the probability that all three are defective?
1st pick = 5 / 400 = 0.0125
2nd pick = 4 / 399 = 0.0100250
3rd pick = 3 / 398 = 0.0075376
Hence, (0.0125 × 0.0100250 × 0.0075376) = 0.0000009445555
What are prime numbers ? And a list of examples ?
Answer:
the number which is divisible only by itself and 1 is called prime number. For example; 2,3, 5, 7, 11 and others.
Select the correct answer.
Which expression is equivalent to the given expression?
(3m2m)
mn 4
A
27 m5
n
9m5
n
B.
C. 27m4n
D.
9m4n
Answer:
D 9m 4m because 9 divided by 2 is 3 and 4 divided by 2 is 2 and that's us you answer.
which function is the inverse of f(x) equals negative 5X -4
Answer:
f inverse x = -x+4/5
Step-by-step explanation:
Answer:
f^-1(x) = -1/5 x - 4/5
Step-by-step explanation:
f(x) = -5x - 4
Replace f(x) with y.
y = -5x - 4
Switch x and y.
x = -5y - 4
Solve for y.
5y = -x - 4
y = -1/5 x - 4/5
Replace y with f^-1(x).
f^-1(x) = -1/5 x - 4/5
What is 6 5/7 as a improper fraction What is 6 5/7 as a improper fraction?
Answer:
47/7
Step-by-step explanation:
6 5/7
=6×7+5/7
=47/7
The value of improper fraction is, 47/7.
What is Fraction?The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.
We have to given that;
The fraction is,
⇒ 6 5/7
Now, We can write the improper fraction as;
⇒ 6 5/7
⇒ (6×7 + 5) / 7
⇒ 47 / 7
Learn more about the fraction visit:
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help? 5/12 + 5/8
(spam cause i need 20 characters)
Answer:
1 1/24
Step-by-step explanation:
5/12 + 5/8
We need a common denominator of 24
Convert the first number to have a denominator of 24
5/12 *2/2 = 10/24
Convert the second number to have a denominator of 24
5/8*3/3 = 15/24
Add the two converted numbers together
10/24 + 15/24
25/24
Change from an improper fraction to a mixed number
24/24 + 1/24
1 1/24
Answer:
25/24
Step-by-step explanation:
5/12 * 1 = 5/12
1 = 2/2
5/12 * 1 = (5/12) * (2/2) = (5*2)/(12*2) = 10/24
3/3 = 1
5/8 * 1 = (5/8) * (3/3) = (5*3)/(8*3) = 15/24
then:
(5/12) + (5/8) = (10/24) + (15/24) = (10+15) / 24 = 25/24
CAN SOMBODY PLEASE HELP :( ? ILL GIVE BRAINLIEST!! *EXTRA POINTS* !! HELP MEEE ASAP.
Answer:
juan should be 32
paul=8
Samantha= 16
juan=32
Standard Form When a polynomial is written in order from the ________________ exponent to the ________________exponent
Answer:
largest
Smallest
Step-by-step explanation:
Please help, "What if you magnified the image of a cluster fly (9 millimeters) by 9*10 exponent 3? What would the length appear to be?" Please hElP
Answer:
9000
Step-by-step explanation:
This is written in scientific notation. When you have a positive exponent (x³), You move the decimal point to the right as many times as the exponent says. Since the exponent is +3, move the decimal to the right 3 spaces:
[tex]9.0(0)\\\\90.0(1)\\\\900.0(2)\\\\9000.0(3)[/tex]
So:
[tex]9*10^3=9000[/tex]
:Done
*Magnifying means that the image will be bigger. So, the new number has to be greater than 9. Since 9000>9, this is true.
Write an equation of the line with a slope of m= 2 and passing through the
points (-2,3).
Answer:
Step-by-step explanation:
y - 3 = 2(x + 2)
y - 3 = 2x + 4
y = 2x + 7
How to solve this question ?
Step-by-step explanation:
eight times the difference of 2 and a number would be 8 × (2-x)
James had 42 dollars. He bought his sister a gift that costs x dollars. How much money does james have now, in terms of x
Answer:
42-x = James' money now
Step-by-step explanation:
James has "42-x dollars" after purchasing a gift for his sister.
Expression for money left to James to be determine if he spend x dollars from $42.
Arithmetic is branch of math that teach how a word statement can be transform to mathematical expression.
Here, James spend x dollars to bought his sister a gift from $42.
Now, James has only 42-x dollars left in his pocket.
Thus, James has '42-x' dollars after purchasing a gift for his sister.
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Classify the following triangle as acute, obtuse, or right.
30°
249
126
A. Acute
B. Obtuse
C. Right
O D. None of these
Answer:obtuse
Step-by-step explanation:
I'LL GIVE YOU BRAINLIEST, YOU LITERALLY CAN HAVE ALL MY POINTS Under a dilation, a square with side lengths 14 meters is transformed to a square with side lengths 2 meters. What is the scale factor of the dilation? Enter your answer as a simplified fraction by filling in the boxes.
Divide the new length by the original length:
Scale factor = 2/14
Simplified = 1/7
Just doing this for the points.
Its 1/7 simplified, I took the test.
1. The interior angles of a triangle have measures of 55°, 25°, and x
What is x?
4. Thoughtful Politicians [This problem setting is due to Prof. James Norris of Cambridge University.] In a group of 100 politicians, 40 are in Party I and 60 are in Party II. Members of Party I are incapable of changing their minds about anything. Members of Party II change their minds completely randomly every day, independently of all others and also independently of all evidence. Tomorrow, the politicians are going to vote on Proposition 88. Here is a summary of their opinions today. Of the 40 members in Party I, 25 are in favor of Prop 88 and 15 are against. Of the 60 members in Party II, 10 are in favor and 50 are against. Assume that each member in Party II changes their mind based on the toss of a coin: if it lands heads they switch to the opposite opinion and if it lands tails they don't change their mind. a) What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow
Answer:
Step-by-step explanation:
The focus is on Party 2, because as already said, Party 1 members NEVER change their minds on anything!
There are 60 politicians in Party 2. They change their minds completely-randomly every day.
Tomorrow, the politicians will vote on a proposition: Proposition 88, but today, 10 are in favor of it while 50 are against it.
Each member changes their mind based on the toss of a coin (a fair/unbiased coin; since it was not stated that the coin is biased). A fair coin has a 0.5 probability of landing HEADS and same 0.5 probability of landing TAILS.
What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?
The number of figures in the distribution will depend on the number of times the coin is tossed, between today and tomorrow.
KEY: Assuming the coin is tossed 12 times between today and tomorrow AND assuming that half of the time - 6 times - it landed HEADS and half of the time, TAILS (Head and Tail simultaneously).
Beginning with HEADS, the distribution of the number of members who will favor the proposition tomorrow, is:
50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10
PLSSSS HELPP ASSPPPP!!!!
A large pizza is $18 and a small pizza is $12. Each topping is.50.
How my would it cost for a large pizza with 5 toppings> *
Answer:
$20.50
Step-by-step explanation:
The pizza itself is $18. If you wanted 5 toppings you would do .50 multiplied by 5. That would give you a total of $2.50 for the 5 toppings. 18 plus 2.50 is 20.50.
Answer:
A large pizza with 5 toppings will be $20.50
A small pizza with 5 toppings will be $14.50
5 toppings would cost $2.50
Step-by-step explanation:
.50x5=2.50
18.00x2.50=20.50
12.00+2.50=14.50
I hoped this helped
Choose the correlation coefficient that would best fit the data in the scatter plot below."
600
500 -
Max distance to read sign
400
300 -
15
25
35
45
75
85
55 65
Driver Age (years)
41
78
98
no correlation
-78
35
write 14,000,000,000 in powers of 10
Answer:
Step-by-step explanation:
1.4 x 10^10
Use the Rational Zero Theorem to list all possible rational zeros for the given function.
f(x) = 9x^4 - x^3 + 4x^2 - 5x - 6.
Which of the following is the complete list of possible zeros of the given function?
a. ±1, ±3, ±2, ±1/3, ±2/3
b. ±1, ±3, ±2/3, ±1/9, ±2/9
c. ±1, ±3, ±2, ±6, ±1/3, ±2/3, ±1/9, ±2/9
d. The function has no rational zeros.
Help the question is in this picture
Answer: C
Step-by-step explanation:
Answer:
7x^2+2x+3
Step-by-step explanation:
Add all the like terms
Landon babysits and works part time at the water park over the summer. One week, he babysat for 3 hours and worked at the water park for 10 hours and made $109. The next week he babysat for 8 hours and worked at the water park for 12 hours and made $177. How much does Landon make per hour at each job?
Answer:
Babysitting =$8.7
Water park =$8.7
Step-by-step explanation:
In 1 week
Babysitting =3 hrs
Water park = 10 hrs
Total =$ 109
In week 2
Babysitting = 8 hrs
Water park = 12 hrs
Total= $ 177
Both weeks
Babysitting =11 hrs
Water park =22 hrs
Total=$286
33 hrs = $ 286
11 hrs =?
11×286÷33=$95.3
33 hrs = $286
22 hrs = ?
22×286÷33=190.7
Babysitting she got $95.3 in both weeks
Water park she got $190.7(rounded offf)in both weeks
11 hrs = $95.3
1 hr = ?
1×95.3÷11=8.7 (rounded off )
22 hrs = $ 190.7
1 hr = ?
1×190.7÷22= 8.7( rounded off)
Alondra deposits 1/2 of the money she earns from working at her uncle’s mechanic shop and 3/4 of her baby-sitting money into her savings account. In one month she earned $250 at her uncle’s shop and received $80 for baby-sitting. How much did she deposit in her savings account that month? Group of answer choices need answer quick
Answer:
$185
Step-by-step explanation:
First, find the amount that she deposited from her uncle's shop:
250(1/2)
= 125
Then, find how much she deposited from baby sitting:
80(3/4)
= 60
Add these 2 values up:
125 + 60
= 185
So, she deposited $185 that month
Write the following numbers in Scientific Notation.
1. The current United States national debt is about $26.5 trillion.
2. The speed of light is about 299,000,000 meters/second.
3. The diameter of an atom is approximately 0.0000000001 meters.
4. Suppose you want to download a file that is 2.6 gigabytes. If you have an average download speed of 30 megabytes/second, how long will it take to download the file?
Answer:
29.9 to the 6th power for number 2
0.1 to the -9 th power
i think lol
its better than ?
Step-by-step explanation:
if x-2 is a factor of x^2n+1
Answer:
No the factor of x^2 + 1 = n x^2 + 1
Step-by-step explanation:
Simplify the expression: (2n + 3)(–2)
Answer:
(2n+3)(−2)
=(2n+3)(−2)
=(2n)(−2)+(3)(−2)
=−4n−6
