Answer:
8.427
Step-by-step explanation:
7.95/x=100/106
(7.95/x)*x=(100/106)*x
7.95=0.94339622641509*x
(0.94339622641509) to get x
7.95/0.94339622641509=x
8.427=x
x=8.427
106% of 7.95=8.427
Solve. Round to the nearest tenth.
6
2-12
19
2x-2
HELP ASAP!!
Answer:
\(\displaystyle x = \frac{216}{7}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
\(\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}\)
Step 2: Solve for x
Cross-multiply: \(\displaystyle 6(2x - 2) = 19(x - 12)\)Distribute: \(\displaystyle 12x - 12 = 19x - 228\)Isolate x terms: \(\displaystyle -12 = 7x - 228\)Isolate x term: \(\displaystyle 216 = 7x\)Isolate x: \(\displaystyle \frac{216}{7} = x\)Rewrite: \(\displaystyle x = \frac{216}{7}\)Answer:
\( \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}\)
30.857 is the right answer.A farmer, Mrs. Many, grows and sells two popular varieties of tomatoes: Better Boy tomatoes and Big Beef tomatoes. Both varieties of tomato take about 75 days to mature. She is designing a study to test the effectiveness of a new soil additive to increase tomato growth. She has 40 Better Boy tomatoes and 60 Big Beef tomatoes for her experiment.
Required:
a. Preliminary research suggests that Better Boy tomatoes and Big Beef tomatoes respond differently to the additive. What sort of experimental design would you choose for this study, and why?
b. Explain why an experiment involving 40 Better Boy tomatoes and 60 Big Beef tomatoes is preferable to one involving 4 Better Boy tomatoes and 6 Big Beef tomatoes.
c. Describe a design for this experiment. Be sure to include a description of how you assign individuals to the treatment groups.
Answer:
I believe the answer is B tell me if I'm correct please
y - 7 = 3 help me pls
Answer:
The answer is in the link
Step-by-step explanation:
Brainliest pls
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)
At least 11
The probability that the sum of the pips selected that is at least 11 would be = 1/12.
How to determine the probability of the selected events?To determine the probability of the selected events, the formula for problem should be used which is given below;
Probability = possible outcome/sample space
Possible outcome = at least 11 = (5,6),(6,5),(6,6)
= 3
Sample space = 36
Probability = 3/36 = 1/12
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HELP ASAP ILL GIVE BRAINLIEST AND EXTRA POINTS
it going to be number three
Which fraction is the greatest (represents the largest quantity) ? a.1/3 b.3/8. c.2/5 d.1/2
Answer:
D. \(\frac{1}{2}\)
Step-by-step explanation:
If you have a pie for example and you cut it in half you have two seperate big pieces. On the other hand if you you were to cut it for example 1/3 times that 1 piece out of the three would be smaller than your half.
-Hope this helps :)
a final exam in math 160 has a mean of 73 with standard deviation 7.2. if 22 students are randomly selected, find the probability that the sample mean of their test scores is less than 75
The probability is that the mean of their test scores is less than 70.
What is probability?
A probability is a number that reflects tha chance of particular event will occur.
Sol-
As per the question given-
Mean = 73
Standard daviation=7.2
Number of students randomly selected =22
Let's take n number for experiment of outcomes.
The number of favorable outcomes can be denoted by x.
The formula to calculate the probability is -
probability = favorable
Outcomes/total outcomes =x/n
The number of standard daviation form the mean is called z.
Z = (x-¥)/€
Z=(75-73)(7.2/√22)
Z= -37.0582965
P(z<-37.05)
= 37.05
There for the probability is 37.05.
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A star athlete at a local college scored a total of 649 points during the 31 basketball games she played in the 2004 regular season. What was the average number of points she scored per game ?
Answer:
21
Step-by-step explanation:
if u divide 649 by 31 u get 20. 93 Wich u round up to 21
The average number of points scored by athlete per game is 21.
It is given that a star athlete scored 649 points during the 31 basketball games.
We have to find , the average number of points she scored per game.
What will be the value if 24 is divided into 8 parts equally ?
The value will be 3.
Total points scored in 31 basketball games = 649 points
Points scored in 1 game =
649 ÷ 31
= 20.93
≈ 21 points per game
Thus , the average number of points scored by athlete per game is 21.
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PLS ANSWER THIS FAST
WILL MARK BRAINLIEST
The actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.
What is a scale drawing?Generally, a scale drawing is described as a drawing that has been reduced or enlarged from its original size to a specified scale.
For instance, the scale of the drawing of the original aquarium is ¹/16. This implies that the length, width, and height have been scaled down to one-sixteenth of the original size.
Data and Calculations:Scale drawing = ¹/16 of the original aquarium
Length of the colored face = 2¹/₄ inches
The actual length of the colored face = 36 inches (2¹/₄ inches x 16)
Thus, the actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.
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What is a quartic function with only two real zeros of x=0 and x=4
The quartic function with only two real zeros of x=0 and x=4 is x² - 4x = 0
What is a quartic function?A quartic function is a quartic polynomial, that is, a polynomial with integer coefficients whose highest degree is four. The coefficient of the variable to the fourth degree cannot be zero. Examples of quartic functions include
From the roots;
a = 0 ; b = 4
From the polynomial expressions
x² - (a +b)x + ab = 0
x² - (0 +4 )x + 0*4 = 0
x² - 4x = 0
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Identify the word form of this number: 139,204,539,912
One hundred thirty-nine billion, two hundred four million, five hundred thirty-nine thousand, nine hundred twelve.
Hope this helped!
de los animales que hay en un corral la mitad son gallinas, la quinta parte patos, la novena parte pavos y 510 son pollos ¿cuantos animales hay en el corral?
The number of animals there are in the corral is 1020.
We are given that Number of chicken=510
This is a word problem that can be solved by using fractions and proportions.
Let x be the total number of animals in the corral. Then, according to the problem, we have:
x/2 = 510 (half are chickens) x/5 = ? (a fifth are ducks) x/9 = ? (a ninth are turkeys)
To find the total number of animals, we need to find a common denominator for the fractions and add them up. The least common multiple of 2, 5, and 9 is 90, so we multiply each fraction by 90 to get:
45x/90 = 45 * 510 (half are chickens) 18x/90 = ? (a fifth are ducks) 10x/90 = ? (a ninth are turkeys)
Adding up the fractions, we get:
(45x + 18x + 10x)/90 = 73x/90
This is the fraction of animals that are chickens, ducks, or turkeys. To find the total number of animals, we need to divide both sides by 73/90, which is equivalent to multiplying by 90/73. We get:
x = (73x/90) * (90/73) x = x
Therefore, the total number of animals in the corral is x.
To find the value of x, we can use the equation x/2 = 510 and solve for x. We get:
x/2 = 510 x = 510 * 2 x = 1020
Therefore, by unitary method the answer will be 1020.
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The complete question is;
Of the animals in a corral, half are chickens, a fifth are ducks, a ninth are turkeys, and 510 are chickens. How many animals are there in the corral?
The ages of job applicants for a security guard position are uniformly distributed between 25 and 65. Could a 25-year-old job applicant be two standard deviations below the mean (or more than two standard deviations)?
Answer:
No, a 25-year-old job applicant cannot be two standard deviations below the mean
Step-by-step explanation:
There are two frequencies 25 and 65
Mean of the two frequencies = 25+65/2 = 45
Standard deviation =
\(\frac{65-25}{\sqrt{12} } \\= 11.55\)
Mean - 2 x standard deviation \(= 45 - 2 * 11.55 = 21.9\)
\(21.9 < 25\)
Thus, a 25-year-old job applicant cannot be two standard deviations below the mean
(6x - 10)
((4x + 8)
8)
B
Angle Relationship: Adjacent OR Vertical_
Angle Rela
Answer:
It is Vertical Angle Relationship.Find one solution for the equation. Assume that all angles involved are acute angles. tangent (3 Upper B minus 32 degrees )equals cotangent (5 Upper B plus 10 degrees )
Answer:
Step-by-step explanation:
Equation given
tan(3B-32 ) = cot ( 5B +10 ) = tan [ 90 - ( 5B + 10 ) ]
tan(3B-32 ) = tan (90 - 5B - 10 )
(3B-32 ) = (90 - 5B - 10 )
8B = 32 + 80
B = 14° .
A shop in the mall is 6 yards by 11 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?
Answer:
$330
Step-by-step explanation:
To find the total area of the shop do 6 times 11
6*11 = 66 sq. yards
Now, do 5 * 66 because one yard is $5
5 * 66 = 330
It costs $330
Evaluate the expression for the given value of the variable 4c - 3. C= -2
Answer:
-11
Step-by-step explanation:
4c - 3 Substitute -2 for c
4(-2) - 3
-8 - 3
-11
Answer:
-11
Step-by-step explanation:
We are given the value of c, so we just need to plug it in. We can do this by replacing "c" with "-2" in our given expression.
4c - 3 ⇒ 4(-2) - 3
Now, we can simplify this.
-8 - 3 = -11
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saleswoman sells a dried-fruit mixture for $ 5.90 per pound and nuts for $ 14. 75per pound. She wants to blend the two to get a -15lb mixture that she will sell for $ 9.44per pound. How much of each should she use? Solve using matrices.
To get a 15-lb mixture, she should use enter your response here( = -lb )of dried-fruit mixture and enter your response here( = lb )of nuts.
A 15-lb mixture, she should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts.
Based on the given information, we can set up the following system of equations:
Equation 1: x + y = 15 (since the total weight of the mixture is 15 pounds)
Equation 2: (5.90 * x) + (14.75 * y) = 9.44 * 15 (since the total cost of the mixture is the cost per pound multiplied by the weight of each component)
Now, let's convert this system of equations into matrix form:
| 1 1 | | x | | 15 |
| 5.90 14.75 | | y | = | 9.44 * 15 |
To solve for x and y, we can use matrix algebra. We can multiply the inverse of the coefficient matrix by the right-hand side matrix to get the solution matrix:
| x | | 1 1 |^-1 | 15 |
| y | = | 5.90 14.75 | | 9.44 * 15 |
Using matrix calculations, we find that the inverse of the coefficient matrix is:
| 0.0877 -0.0576 |
| -0.0059 0.0678 |
Now, multiplying the inverse matrix by the right-hand side matrix gives us:
| x | | 0.0877 -0.0576 | | 15 |
| y | = | -0.0059 0.0678 | * | 9.44 * 15 |
Simplifying the multiplication gives us:
x = 1.256
y = 13.744
Therefore, the saleswoman should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts to get a 15-pound mixture.
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what is 73 division 84,649
73 division 84, 649 would give 8. 64 × 10^-4
How to determine the valueIn order to determine the value of the division, we have
= \(\frac{73}{84649}\)
Using the calculator, put the values in
We would have
= 8. 64 × 10^-4
Thus, 73 division 84, 649 would give 8. 64 × 10^-4
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Write in slope intercept form 6y+y=5
The equation 6y + y = 5 can be written in a slope-intercept form as y = 5/7.
We have,
To write the equation 6y + y = 5 in slope-intercept form (y = mx + b), we need to simplify the equation and isolate the y variable on one side.
Starting with the equation 6y + y = 5:
Combining the like terms on the left side gives us:
7y = 5
To isolate the y variable, we divide both sides of the equation by 7:
y = 5/7
Now the equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
In this case, since the equation only contains the variable y and no x, the slope (m) is not present, and the y-intercept (b) is 5/7.
Therefore,
The equation 6y + y = 5 can be written in a slope-intercept form as y = 5/7.
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HELP! I don’t know how to solve this and i’m so confused
What is the slope of the line passing through the points (2, 5) and (0, -4)?
Show all your work.
Leave your answer as a fraction
Answer:
slope = 9/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-4 - 5/0- 2 = 9/2
jackie says that 200÷1/8=25. ls Jackie correct? Explain
Answer:
Jackie is wrong the answer is 1600
Step-by-step explanation:
200divided by 1/8 is equivalent to 200 times 8/1 which is 1600
Determine which conic section is represented based on the given equation: 4x^2+9xy+4y^2-36y-125=0
The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle
Selecting the conic section of the equationThe given equation is
4x² + 9xy + 4y² - 36y - 125 =0
The above equation is an illustration of a circle equation
The standard form of a circle equation is
(x - a)² + (y - b)² = r²
Where
(a, b) is the center
r is the radius
While the general form of the equation is
ax² + fx + by² + gy + c =0
Where c is a constant
Recall that, we have
4x² + 9x + 4y² - 36y - 125 =0
This is the general form
We can convert to the standard form as follows
Divide through by 4
x² + 2.25x + y² - 9y - 31.25 =0
Next, we complete the square of the x-terms and the y-terms
For the x-terms, we have
x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²
x² + 2.25x = (x + 2.25/2)² - (2.25/2)²
For the y-terms, we have
y² - 9y = y² - 9y + (9/2)² - (9/2)²
y² - 9y = (y - 9/2)² - (9/2)²
Substitute the new x and y terms
So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes
(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0
Evaluate the sum of like terms
(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0
So, we have
(x + 9/8)² + (y - 9/2)² = 3377/64
Using the above as a guide, we can conclude that the conic section of the equation is a circle
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f(x) = 3x2 + 6x – 18
Find f(10)
Answer:
=
(
x
2
+
6
)
(
x
+
3
)
Step-by-step explanation:
[Grouping the first 2 terms together and the 2md 2 terms together.]
x
3
+
3
x
2
+
6
x
+
18
=
(
x
3
+
3
x
2
)
+
(
6
x
+
18
)
[Common factor]
=
x
2
(
x
+
3
)
+
6
(
x
+
3
)
{Taking the common bracket]
=
(
x
2
+
6
)
(
x
+
3
)
~Hope this helps! :)
The answer to the function is 102
First you must set up the equation
\(f(10)=3(10)(2)+6(10)-18\)
Then you must multiply
\(f(10)=60 +60-18\)
Finally, you must simplify like terms
\(f(10)=102\)
A fair coin is tossed three times in succession. The set of equally likely outcomes is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. Find the probability of getting exactly one tail.
The probability of getting exactly one tail when a fair coin is tossed three times is 3/8.
What is probability?Probability is the measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.
In the given question,
There are 8 possible outcomes, and we want to find the probability of getting exactly one tail. We can list the outcomes with exactly one tail as HHT, HTH, and THH.
So, the probability of getting exactly one tail is:
P(exactly one tail) = P(HHT) + P(HTH) + P(THH)
We know that each individual toss of a fair coin has a probability of 1/2 of resulting in either heads or tails. Using the multiplication rule of probability, we can find the probabilities of each of these outcomes:
P(HHT) = (1/2) * (1/2) * (1/2) = 1/8
P(HTH) = (1/2) * (1/2) * (1/2) = 1/8
P(THH) = (1/2) * (1/2) * (1/2) = 1/8
So, the probability of getting exactly one tail is:
P(exactly one tail) = P(HHT) + P(HTH) + P(THH) = 1/8 + 1/8 + 1/8 = 3/8
Therefore, the probability of getting exactly one tail when a fair coin is tossed three times is 3/8.
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Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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What is the volume of the triangular prism?
please help!! quickly its a test a look at the picture
7th grade math
Triangle ABC is similar to triangle DEC. What is the length of DE?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 5.25
Explanation:
first find total length of BC, which is 16
Then you do 7/16 which is the scaling proportion.
Then you do 12 x 7/16 = 5.25
I hope this helped!
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Good points please help:(
Answer:
x = 29
Step-by-step explanation:
These angles are vertical angles which mean that they're equal to each other:
2x - 24 = x + 5
2x - x = 5 + 24
x = 29