Answer:
x= kaylas age
older sister: 2x+1
younger sister: x-3
x+2x+1+x-3=26
4x-2=26
4x=28
x=7 years old
Step-by-step explanation:
Mrs. Hudson plans to give a 10 question multiple choice exam in which each question has 4 options. Each question counts for 1 point. A score of 8 or more is a passing score while 7 or less is a failing score. The probabilities of guessing a certain number of questions correctly are listed in the table below.
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Compute the probability of answering 8 or more questions correctly by calculating the probability with a direct sum and by using complements.
How do the two approaches compare?
Answer:
0.0004158
0.00041581
Step-by-step explanation:
Given that :
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Probability of answering 8 or more questions correctly ;
Direct sum:
P(x ≥ 8) = p(8) + p(9) + p(10)
P(≥ 8) = 0.00038624 + 0.00002861 + 0.00000095
= 0.0004158
Complement :
P(x ≥ 8) = 1 - p(x ≤ 7)
1 - [p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)]
1 - [0.00308990 + 0.01622200 + 0.05839920 + 0.14599800 + 0.25028229 + 0.28156757 + 0.18771172 + 0.05631351]
1 - 0.99958419
= 0.00041581
what is the value of x that satisfies the following equation
1 over 3 ( x - 9) = 2 over 3 (2x + 6)
Answer:
x=-7
Step-by-step explanation:
BRAINLIEST PLS
the local grocery store is running a special three dozen of eggs $1.08 what is the cost per egg
Answer:
more than 25 cents
Step-by-step explanation:
PEASE HELP REALLY QUICK
Answer:
x = 1
Step-by-step explanation:
13x - 12 = 7x -6
6x = 6
x = 1
What steps are used to solve this equation?
6f = 48
Complete each statement.
First, _____
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
.
Check the solution by substituting
for f and simplifying.
Answer:
What steps are used to solve this equation?
6f = 48
Complete each statement.
First,
✔ divide by 6
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
✔ f = 8
.
Check the solution by substituting
✔ 8
for f and simplifying.
Step-by-step explanation:
The solution of the given equation would be 8.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between.
A system of equations is two or more equations that can be solved to get a unique solution and the power of the equation must be in one degree.
We are given the equation as;
6f = 48
We have to Complete each statement.
First, divide by 6 into both sides of the equation.
f = 48/6
Next, simplify the equation to determine that the solution of the equation is
f = 8
Check the solution by substituting for f and simplifying.
6 x8 = 48
Learn more about equations here;
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Write the equation in slope-intercept form of the line that
contains the points:
(3,4) & (5,8)
**Zander is making individual desserts for a dinner party. He has
3/4 of a cup of whipped cream, and he wants to
put 1/8 of a cup of whipped cream on each dessert. How many desserts can he make?
Answer:
7/8 desserts he can make.
Step-by-step explanation:
10. A certain strain of bacteria occurs in all raw milk. Tests of uncontaminated raw milk conducted by the Health Department found that the bacteria count per milliliter is normally distributed with a mean of 3500 and standard deviation of 300. a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk? b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400? c) For this normal distribution, what is the percentage of the area under the normal curve for a bacteria count per milliliter less than zero? As bacteria count cannot be less than 0, is this small enough to disregard when claiming that the bacteria count per milliliter is normally distributed? Explain your answer.
Answer:
a) 0.21078
b) 21.078%
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean of 3500 and standard deviation of 300.
a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk?
For x = 3200
z = 3200 - 3500/300
z = -1
Probability value from Z-Table:
P(x = 3200) = 0.15866
For x = 3400
z = 3400 - 3500/300
z = -0.33333
Probability value from Z-Table:
P(x = 3400) = 0.36944
The probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk
P(x = 3400) - P(x = 3200)
= 0.36944 - 0.15866
= 0.21078
b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400?
We convert the answer in part a) to percentage
= 0.21078 × 100
= 21.078%
Please I need help Asap I give 30 points if I get it rights the question is in the picture
Answer:
10
Step-by-step explanation:
First, you multiply j and k together. j·k=6·4= 24.
Next, you multiply 24 by 2.5. That is equal to 60.
After that, since j=6, you divide 60 by 6.
That is equal to 10.
Hope this helps!
In 1895, a brick arch railway bridge was built on North Avenue in Baltimore, Maryland. The arch is described by the equation h = 9 −1/50x², where h is the height in yards and x is the distance in yards from the center of the bridge.
a. Graph this equation on your calculator and describe, to the nearest yard, where the
bridge touches the ground.
Answer:
21.213
or
(21.213,0)
Step-by-step explanation:
y-intercept = 9
slope= -1/50x^2
I graphed it and it was a parabola and it hit the ground at this coordinate (21.213,0)
PQ:QR is 5:2 and PR=42 find PQ and QR
Answer:
there is a math caulator
Step-by-step explanation:
A circular park of radius 30m has a track of width 2.5m on its
inner side. Find the area of the track.
Answer:
490.625 m^2 is the area of the track.
17. Hazel invests $1800 for 7 years at a rate of 1.5% per year compound interest. Calculate how much
interest she will receive after the 7 years. Give your answer correct to the nearest dollar.
Answer:
1,998$
Step-by-step explanation:
Plug in your numbers in calc to this formula.
4.What number falls between -28 and -34 on the number line?
A.-29
B. 0
C.-25
D. -35
A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 16+6.2n and 10+6.5n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box?
Answer:
20 smaller boxes
Step-by-step explanation:
Given
Smaller Box = 10 + 6.5n
Larger Box = 16 + 6.2n
Required
Determine the number of small box in each box
To do this, we simply equate both expressions:
[tex]Smaller\ Box = Larger\ Box[/tex]
[tex]10 + 6.5n = 16 + 6.2n[/tex]
Collect Like Terms
[tex]6.5n - 6.2n = 16 - 10[/tex]
[tex]6.5n - 6.2n = 6[/tex]
[tex]0.3n = 6[/tex]
Make n the subject
[tex]n = 6/0.3[/tex]
[tex]n = 20[/tex]
Hence, there are 20 smaller boxes
A chef is making pickles. He needs 15 gallons of vinegar. The store sells 2 gallons of vinegar for $3.00 and allows customers to buy any amount of vinegar. Decide whether each of the following ratios correctly represents the price of vinegar.
Choose yes or no
4 gallons to $3.00
[ Choose yes or no
1 gallon to $1.50
[ Choose yes or no
30 gallons to $45.00
[ Choose yes or no
$2.00 to 30 gallons
[ Choose yes or no
$1.00 to 2/3 gallon
THE QUESTION WILL MAKE YOU BRAINLIEST!
Answer:
the first one- no the second- yes the third- yes the fourth- no the fifth- yes
Step-by-step explanation:
i passed grade 7 lol
The price of gallons as per number of gallons.
1 gallon to $1.50
30 gallons to $45.00
$1.00 to 2/3 gallon
Finding cost of gallons
Accoring to the question, the price of two gallons of vinegar is $3.00. A chef need fifteen gallons of vinegar to make pickles.
As we know the price of two gallons of vinegar, we can find out price for any amount of vinegar by applying cross multiplication method.
Let's find out price of different amounts of gallons
The cost of two gallons of vinegar = $3.00
So, the cost of one gallon of vinegar = $3.00/2 = $1.50.
we find out that cost of one gallon of vinegar is $1.50.
Let's find the cost of other amount of gallons.
The cost of four gallons = ?
we know the cost of one gallon is $1.50, so the cost of four gallons is $1.50 × 4 = $6.00
This is how we can find out cost of other amount of gallons by multiplying number of gallons by the price of one gallon.
To know more about ratios click the link below.
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Explain how to find the estimated sum of 5/8 + 2/9 .
Answer:
0.847Step-by-step explanation:
In this expression, you would have to use the PEMDAS method. First divide, so (5 divided by 8) + (2 divided by 9).
The answer you would get is: (0.625) + (0.222)
The final answer is: 0.847
HURRRYYYY!!
Amir has a bag of dimes and quarters. He has a total of 31 coins worth $5.20.
Let x represent the number of dimes and y represent the number of quarters.
Which system of equations would be used to find out how many dimes and quarters Amir has?
Answer:
B is the correct answer.
Step-by-step explanation:
This is the given information for which system of equations would be used to find out how many dimes and quarters Amir has?
x = dimes x = 0.10 or 0.1
y = quarters y = 0.25
31 coins
worth $5.20 = 5.2
x + y = 31
0.1x + 0.25y = 5.2
Factor the equation x ² −10x+25
Answer: (x-5)^2
Step-by-step explanation:
-5 and -5 multiply to 25 and add to -10
Which of the following would NOT describe what a translation does to a figure
Answer:
Answers?
Step-by-step explanation:
A translation does NOT
-change the shape of the figure
-change the size of the figure
-change the angle of the figure
IT ONLY CHANGES THE LOCATION of the FIGURE!
Which relation is a function?
O A.
{(5,2), (-2,-8), (7, -1) (-2, 6)}
B.
{(7, 1), (4,2), (4,-4), (7,3)}
C.
{(6,5), (3, 2), (6,4), (5,8)}
O D.
{(6,-4), (5, 8), (3,6), (-4,-4)}
Answer:
D
Step-by-step explanation:
because the domain(x) doesnt repeat
What formula do you use to measure the entire length of a diagonal?
Answer:
d² = l² + w² ,
Step-by-step explanation:
You can use the Pythagorean theorem to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w² , and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √(l² + w²) .
i'll mark you as brainliest
Answer:
y = x - 2
Step-by-step explanation:
.
Angle a and b are complementary. M angle a equal (5x +2) degrees. Find m angle b. Justify your reasoning. Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
∠b = 88 - 5x
Step-by-step explanation:
If a and b are complementary, then sum of two angles is 90
∠a + ∠b = 90
5x + 2 + ∠b = 90
∠b = 90 - 5x - 2
∠b = 88 - 5x
Inspector Butterman received 21 complimentary tickets to the play Romeo and Juliet. he has 8 officers who would like to attend. He distributes the tickets evenly among the officers. How many tickets will each officer get? How many tickets will be left over?
What is the slope of the line that contains these points
What is the slope of the line that contains these points
Answer:
What are the coordinates.
please help me with my homework my friends won’t
Answer:
Part A
1. Celsius
2. 100 C
3. 273.15 Kelvin.
4. 273, formula: °C + 273.15 = K.
5. -273 celsius
6. Farenheit
Part B:
7. True
8. False, you add not subtract.
9. False, it's 373.1 K
10. True
Number 3.
In the diagram, AB is the tangent to the circle at P and PX is the diameter.
Given that BPQ = 42°, find PQX, PXQ and XPQ.
Answer:
see explanation
Step-by-step explanation:
∠ PQX = 90° ( angle in a semicircle )
∠ PXQ = 42° ( alternate angle theorem )
Angle between tangent and diameter is right, thus
∠ XPQ = 90° - 42° = 48°
PLEASE HELP ME IT WOULD BE AMAZING IF YOU CANNN
What are the values of the domain in the following graph?
A.the domain is represented by cm/ year
b. The domain is represented by the height of the horse
c. The domain is represented by the age
d. The domain is represented by the average growth of the horse
Answer:
We conclude that The domain is represented by age.
Thus, the option 'c' is true.
Step-by-step explanation:
We know that the domain of a function is the entire set of input values of the independent variable 'x' for which the function remains real and defined.
Given the attached graph, we can observe that height is dependent on age (years). In other words, the age (years) is basically an independent variable.
Therefore, we conclude that The domain is represented by age.
Thus, the option 'c' is true.
Answer:
C. The domain is represented by the age
Step-by-step explanation:
I had gotten it right on my test :)