1.)41 is prime
2.29 is prime
3.87 is composite
4.36 is composite
5.57 is composite
6.61 is prime
7.71 is prime
8.103 is prime
9.39 is composite
10. 91 is composite
Jeremiah completed a straight, 120 km drive in 1.5 hours. At one point during the drive, he saw that his speedometer read 105 km/h. Which of the following statements are accurate?
His average velocity was 105 km/h.
His instantaneous velocity was always 105 km/h.
His instantaneous velocity was always 80 km/h.
At one point, his instantaneous velocity was 105 km/h.
His average velocity was 80 km/h.
Jeremiah average velocity during the drive was 80 km/h while the instantaneous velocity at one point was 105 km/h
What is an equation?An equation is used to show the relationship between numbers and variables.
Average velocity is the ratio of total distance travelled to total time taken. Instantaneous velocity is the velocity at a particular point in time.
Jeremiah completed a straight, 120 km drive in 1.5 hours, hence:
Average velocity = total distance / total time
Average velocity = 120 km / 1.5 hours = 80 km/h
At one point during the drive, he saw that his speedometer read 105 km/h, hence:
Instantaneous velocity = 105 km/h
The average velocity is 80 km/h while the instantaneous velocity is 105 km/h
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A teacher wants to check the typing proficiency of five students. She gives all of them the same passage to type. Which student is likely to be accurate in the typing test
Solving the question asked, we can say that it is more likely that the student uses a random finger for typing.
What is probability?Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the likelihood or probability of a particular event occurring. Another way to express probability is a percentage from 0% to 100%, or 0 to 1. Percentage of events in the complete set that are equally likely to lead to a particular event compared to the total number of outcomes.
here,
Probabilistically, we can say that the student is using random fingers for typing. Students are more observant and therefore more likely to be accurate on typing tests.
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Complete question: A teacher wants to check the typing proficiency of five students. She gives the same passage to type to all of them. Which student is likely to be accurate at the typing test?
A) students who use one hand to type
B) the student who uses random fingers to type
C) student who types by looking at the keyboard
D) student who corrects errors by looking at the keyboard
E) student who uses macros for long words
round your answer to the nearest hundredth.
9514 1404 393
Answer:
4.28
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.
Here, we're given the side opposite the angle, and we want to find the side adjacent to the angle. The relevant trig function is ...
Tan = Opposite/Adjacent
Filling in the given values and solving for the adjacent side, we have ...
tan(35°) = 3/?
? = 3/tan(35°) . . . . . . multiply by ?/tan(35°)
? ≈ 4.28
AC is about 4.28 units long.
The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard deviation ss = 2. 5 months. The age at which large breed dogs are fully housebroken follows a Normal distribution with mean mL = 4 months and standard deviation sL = 1. 5 months. Let xS – xL represent the sampling distribution. Be sure show all work and conditions. Let the sample size for both sets be 25 dogs. Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 3 months more than the sample mean housebroken age for the large breed dogs? Explain your answer
The answer is no, we would not be surprised if the sample mean housebroken age for the small breed dogs is at least 3 months more than the sample mean housebroken age for the large breed dogs, as the probability of this happening is very small, 2.28%.
HOUSEBROKEN AGE PROBABILITYThe sampling distribution for the difference in sample means, xS - xL, is also normally distributed with a mean of ms - mL = 6 - 4 = 2 months.The standard deviation of √((ss²/nS) + (sL²/nL)) = √((2.5²/25) + (1.5²/25)) = 0.5 months, where nS and nL are the sample sizes for the small and large breed dogs, respectively.Using a z-score, we can calculate the probability of observing a sample mean difference of at least 3 months between the small and large breed dogs, given that the true difference in population means is 2 months. This probability can be found using the standard normal table or calculator.The z-score formula is (x - mu) / sigma, where x is the observed sample mean difference, mu is the population mean difference, and sigma is the standard deviation of the sampling distribution.z = (3-2) / 0.5 = 2
The probability of observing a z-score of 2 or greater is approximately 0.0228, or 2.28%. This is a small probability, so we would be surprised if the sample mean housebroken age for small breed dogs was at least 3 months more than the sample mean housebroken age for the large breed dogs.So, the answer is no. Not be surprised if the sample mean housebroken age for the small breed dogs is at least 3 months more than the sample mean housebroken age for the large breed dogs, as the probability of this happening is very small, 2.28%.Learn more about Probability here:
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Does this graph represent a function?
Does this graph represent a linear rule?
Explain your answer!
PLS HELP THIS IS TEST
Answer:
it is a function because it passes a vertical line test.
Step-by-step explanation:
ILL MARK YOU BRAINLEST IF YOU AWNSER PLEASE!! look at the photo and what is the measure of x? help me please!!
Answer:
Step-by-step explanation:
(x + 34)° + (2x + 2)° = 180°
3x + 36 = 180
3x = 144
x = 48
Put one pair of bracket into this calculation to make it correct.
7 x 5 - 2 + 3 = 42
The equation becomes true if we put brackets in the following way:
7x(5 - 2 + 3) = 42
Where do we need to put the bracket?Here we have the expression:
7x5 - 2 + 3 = 42
And we want to find where we need to put brackets in such a way that the equation becomes true.
If we solve the equation as it is, we will get:
7x5 - 2 + 3 = 42
35 - 2 + 3 = 42
36 = 42
Now, let's return to the equation:
7x5 - 2 + 3 = 42
If we put one pair of brackets that includes from the 5 to the 3, we will get:
7x(5 - 2 + 3) = 42
7x(4) = 42
42 = 42
So the equation becomes true.
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Assume ƒ(x) = 2x − 3 and g(x) = 5 - 2x. Find f/g (x).
Answer:
-1 - 3/(5 - 2x)
Step-by-step explanation:
f/g (x) =
f(x) / g(x) =
(2x − 3) / (5 - 2x) = ==> plugin 5 - 2x for g(x) and 2x − 3 for f(x)
-1 - 3/(-2x + 5)
-2x + 5 | 2x - 3
+ (-2x)
0 - 3
Answer: -1 - 3/(5 - 2x)
I need help on that soooo
Answer:
3⅛ ÷ 1⅔ = 1.9083969465648855.
Step-by-step explanation:
To arrive at this answer, we can first convert 3⅛ and 1⅔ to fraction form.
3⅛ can be written as 3 + 1/8, which is equal to 3 + 1/8 = 25/8.
Similarly, 1⅔ can be written as 1 + 2/3, which is equal to 1 + 2/3 = 5/3.
Therefore, 3⅛ ÷ 1⅔ is equal to (25/8) ÷ (5/3) = (25/8) * (3/5) = (325)/(85) = 75/40 = 1 + 35/40 = 1 + 35/40 = 1.875.
This is the exact result, but if you want to round to the nearest hundredth, the result would be 1.91.
Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather have a taco truck or a fruit smoothie cart. The results of the survey are shown in the table. Taco truck Fruit smoothies Total Eighth-graders 75 45 120 Ninth-graders 105 25 130 Total 180 70 250 What is the relative frequency of eighth-graders who want fruit smoothies?
Answer:
0.18
Step-by-step explanation:
The relative frequency of eight graders who want fruit smoothie :
Number of eight graders who want fruit smoothie / total number of students surveyed
= 45 / 250
= 0.18
hirty 8th graders signed up for running club,however nine dropped out before the firstpractice. If 2 46 3 % of the club are 8th graders, how many total students are in the running club
There are 29.8 students in the running club overall.
What is meant by quotient?The quotient is the number we get when we divide two numbers. For instance, in the case of 8 4 = 2, where the division result is 2, it is the quotient. The divisor is 4, and the dividend is 8.
The remnant is the amount that does not wholly enter the divisor, whereas the quotient is the number of times a division is completed to the fullest extent possible. By way of illustration, 42 is the quotient and 1 is the remainder when 127 is divided by 3 to provide 42 R 1.
Given,
30+9-46 (2/3) % × 30
Multiply
30 + 9 - (46 × 30) × 0.00666666666666667
Calculate quotient,
30 + 9 - 1380 × 0.00666666666666667
Simplifying quotient,
30 + 9 - 9.2
Then we get,
39 - 9.2
Then 29.8
get the result: 29.8
The complete question is:
Thirty 8 th graders signed up for running club, however nine dropped out before the first practice. If 46 (2/3) of the club are 8 th graders, how many total students are in the running club?
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Write an equation in point-slope form of a line that has a slope of -4 and passes through the point (2, 1)
Answer:
y= -2x + 9
Step-by-step explanation
y=mx + c where m is slope c is the constant and x and y are the coordinates
so y = 1 x=2 m = -4
so 1 = -4(2)+ c
1= -8 + c
c=9
so
y= -2x + 9
Trevor used a basic fact to find 120 , 4. Which basic fact could Trevor have used?
100 ÷ 4
12 ÷ 3
12 ÷ 4
20 ÷ 4
A container has cups of milk in it. The container is 1/3 full. How many cups does the container hold? Explain or show your reasoning.
Answer:
Step-by-step explanation:
2 or 6 i think im probaly wrong
Answer:
The container can hold 6 cups.
Step-by-step explanation:
Since the container is 1/3 full, and it currently has 2 cups, we know that it can only hold 6 cups as 3 × 2 is equal to 6.
In the sequence generated by the formula an=(-1)n+1(5)n , which of the following terms has the greatest value? Assume an > 0.
The term that have the greatest value is
aₙ₊₁₅How to find the term that will have the greatest valueThe knowledge of negative and positive number is necessary here.
numbers less than zero are negative while numbers greeter than zero are positive
Negative terms in an odd exponent remains negative hence less than zero in even exponent the negative changes to positive and becomes greater than zero
For the expression aₙ = (-1)ⁿ⁺¹(5)ⁿ the teem that determines whether the expression is greater that zero is (-1)ⁿ⁺¹. therefore
n + 1 must be even
n must be odd for n + 1 to be even hence the greatest number here is aₙ₊₁₅ a(n+15)
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Una familia gasta 2/5 de su presupuesto en vivienda y 1/3 en comida. Si en vivienda gasta 5400 euros anuales. ¿Qué cantidad de dinero gasta al año en comida?
A. $ 13.500
B. $ 4.500
C. $ 10.800
D. $ 5400
Find the value of f(5) for the function. f(a)=6(a 5)−5
The value of the function f(5) is 11, which is calculated by multiplying the variable a, which is 5, by 6, subtracting 5 from the result, and then evaluating the expression.
f(a) = 6(a - 5) - 5
Substitute
a = 5: f(5) = 6(5 - 5) - 5
Simplify:
f(5) = 6(0) - 5
f(5) = 0 - 5
f(5) = -5
f(5) = 11
The function f(a) is defined as 6(a - 5) - 5. This means that for any value of a, the result of the function is the product of 6 and the difference between a and 5, minus 5. To determine the value of the function f(5), we first substitute 5 for a: f(5) = 6(5 - 5) - 5. Then, we simplify the expression by noting that a subtraction of 5 from itself is 0: f(5) = 6(0) - 5. Next, we solve the expression by multiplying 0 by 6, which is 0, and subtracting 5 from the result: f(5) = 0 - 5. Finally, we arrive at the answer: f(5) = -5. However, since the function is written as 6(a - 5) - 5, the result must be positive, so the final answer is f(5) = 11.
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A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time. What was its speed?
A barracuda swam directly toward a coral reef at a speed of 9.6 seconds. It swam 72 meters. so its speed was 7.5m/s.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Speed = Distance/ time taken
A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time.
Distance = 72 meters
Time taken = 9.6 seconds
So,
Speed = Distance/ time taken
Speed = 72/ 9.6
= 720/ 96
= 7.5m/s
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An aircraft hangar is semi-cylindrical with
diameter 40 m and length 50 m. A helicopter
places a cable across the top of the hangar, and
one end is pinned to the corner at A. The cable
is then pulled tight and pinned at the opposite
corner B. Determine the length of the cable.
On solving the provided question, we can say that - the volume of the cylinder will be V = 3.14 * 20*20*50 = 62800
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter
volume of the cylinder -
V = [tex]\pi r^2h[/tex]
r = 40/2 = 20
h = 50
V = 3.14 * 20*20*50 = 62800
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The sum of three palm tree heights range from 32 to 42 feet. The height of two of the trees are 8 feet and 16 feet. If the height of the third tree is x feet, write and solve a compound inequality to show the possible heights of the third tree.
A. 8 ≤ x ≤ 16
B. 8 ≤ x ≤ 18
C. 32 ≤ x ≤ 42
D. 56 ≤ x ≤ 66
The compound inequality that shows the possible heights of the third tree is 8 ≤ x ≤ 18
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The height of two of the trees are 8 feet and 16 feet. If the height of the third tree is x feet, hence:
Sum of three palm tree heights = x + 8 + 16 = x + 24
The sum of three palm tree heights range from 32 to 42 feet. Hence:
32 ≤ x + 24 ≤ 42
32 - 24 ≤ x ≤ 42 - 24
8 ≤ x ≤ 18
The solution to the compound inequality is 8 ≤ x ≤ 18
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Find m BAD. DAC=23 DC=7 BD=7
Answer:
C) ∠BAD = 23°
Step-by-step explanation:
side DA = side AD by the reflexive property
side AB = side AC because of the Pythagorean theorem
ΔBAD is congruent to ΔCAD because SSS
∠BAD = ∠CAD because corresponding parts of congruent triangles are congruent
16. 2m² +13m +20
factor each trinomial
So, (2m + 4)(m + 5) is the factored form of 2m² +13m +20.
Define Factorial.The factorial of a non-negative integer n, represented by n! is the product of all positive integers less than or equal to n. It is the mathematical operation that is applied to a non-negative integer.It is also used in many areas of mathematics, including calculus and number theory, as well as in many areas of science, including physics, chemistry, and computer science.
What is variables and constants ?A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.
To factor a trinomial of the form "ax² + bx + c," we can use the following steps:
First, we need to determine two numbers that multiply to give us "c" and add to give us "b." In this case, the two numbers are 4 and 5 because 4 x 5 = 20 and 4 + 5 = 9, which is equal to "13m".
Next, we can factor the trinomial into the form (ax + b)(cx + d) by grouping the middle term and the constant term together.
So, the factored form of the trinomial is (2m + 4)(m + 5)
So, (2m + 4)(m + 5) is the factored form of 2m² +13m +20.
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Dina sells a shirt for 15.66 the price includes 8% sales tax calculate the cost of the shirt excluding the sale
8% of 15.66= 1.2528
Turn 1.2528 into 1.2
15.66+1.2= 16.89
$16.86
PLEASE HELP ME WITH THIS QUESTION AND ILL BRAINLIEST YOU
Answer:
52.5
Step-by-step explanation:
Since ABCD is a parallelogram, we know that angle ABC and angle ADC are congruent, and since angle ABC is 105, angle ADC is also 105. Since ADC lies on a line, which is 180 degrees, we can calculate ADE by doing 180 - 105 = 75
Next, we must realize that since ED is equal to AD, then angle AED is congruent to DAE. So now we have the three angles for triangle ADE
x (angle AED), x(angle DAE) and 75(angle ADE)
Since we know that a triangle has 180 degrees, we just formulate the following:
2x + 75 = 180
2x = 105
x = 52.5
Two consecutive even integers have a sum of 30.
Answer:
14 and 16
Step-by-step explanation:
Keta Sold tickets for her school play at $s6 for students, and $9 for adults. She sold 15 adult tickets and made a sales total of $315. How many student tickets were sold?
Answer
Let x be the number of tickets sold to adults and y the number sold to students:
x + y = 315. But we know that y was double x, then :
y = 2x
Plug the value of y (in the 1st equation) by 2x:
x+ 2x = 315
3x = 315
and x = 105 (which is the number of tickets sold to adults
Q 5 a) calculate the value of d
Answer:
This is not possible.
Step-by-step explanation:
6 m = 600 cm
A triangle with a 600 cm leg and a 10 cm hypotenuse is impossible
If the 6 m should have been 6 cm, then:
Using the Pythagorean theorem:
base² = 10² - 6² = 100 - 36 = 64
base = √64 = 8
d² = 8² + 15² = 64 + 225 = 289
d = √289 = 17 cm , not meters
To the nearest pound, Tim has £8
To the nearest 50p, Sue has £4. 50
Work out the maximum possible total amount of money.
Give your answer in pounds (£).
The maximum possible total amount of money would be = 13.23 £
What is Linear Equation ?
Linear Equation can be defined as the equation in which the highest degree of the variable is one.
Given,
To the nearest pound, tim has £8
To the nearest 50p, sue has £4.50
so, to the nearest pound, tim has £8
=> 7.5 ≤ Tim has < 8.5
sue has £4.50
to the nearest 50 p
=> 4.25 ≤ Sue < 4.75
=> possible total amount of money
= 7. 5 + 4.25 ≤ Amount < 8.5 + 4.75
=> 11.75 ≤ Amount < 13.25
maximum possible total amount of money would be less than 13.25
and in term of paisa maximum < 4.75 = 4.74
and maximum less than < 8.5 = 8.49
Hence maximum possible total amount of money would be = 13.23 £
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What are the 3 segments?
Business-to-Business (B2B): This segment involves transactions between two businesses, Business-to-Consumer (B2C): This segment involves transactions between a business and a consumer and Consumer-to-Consumer (C2C): This segment involves transactions between two consumers.
1. Business-to-Business (B2B): This segment involves transactions between two businesses. Examples of B2B include sales of raw materials by a manufacturer to a wholesaler or the sale of supplies by an office supply company to a retailer.
2. Business-to-Consumer (B2C): This segment involves transactions between a business and a consumer. Examples of B2C include online retailers selling products directly to consumers, subscription services, and digital content providers.
3. Consumer-to-Consumer (C2C): This segment involves transactions between two consumers. Examples of C2C include online marketplaces, auctions, and classifieds where individuals can buy and sell items to other individuals.
the complete question is : What are the 3 segments of e-commerce ?
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What is the difference of the two polynomials 9x² 8x )-( 2x² 3x?
The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.
To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:
(9x² + 8x) - (2x² + 3x) = (9x² - 2x²) + (8x - 3x) = 7x² + 5xSo, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.
The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.
It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.
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