Moses writes a paper on fruit for health class. He surveys a random sample of
students at his school about their favorite fruit. In his sample 46 students say
strawberries. The other 34 students in his sample say a different fruit. There are
506 students in Moses's school. What inference can Moses make about the
number of students in his school who would say strawberries are their favorite fruit?
Show your work.
OLUTION

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Answer:

21. Since you didn't say what the value of j was. If j equal -3 then

21. −3 + (−6)

Subtract 6 from −3 to get −9.

−9

OR IF IT EQUALS 3

21. 3 + −6

Subtract 6 from 3 to get −3.

−3

22. 8 − −10 + 2

The opposite of −10 is 10.

8+10+2

Add 8 and 10 to get 18.

18+2

Add 18 and 2 to get 20.

20

23. 3 x −15 + 5

Multiply 3 and −15 to get −45.

−45+5

Add −45 and 5 to get −40.

−40

Step-by-step explanation:

Answer

The general formula for this exponential sequence is

x = 1, 2, 3, 4....

Explanation

We can see that this sequence has each of the next term being 2 multiplied by the previous term.

9, 18, 36, 72, 144....

So, we will treat the exponential sequence as a geometric sequence.

The general formula for the nth term of a geometric sequence is

aₙ = arⁿ⁻¹

where

aₙ = nth term

a = first term = 9

r = common ratio = (Second term)/(First term) = (Third term)/(Second term) etc

r = (18/9) = (36/18) = (72/36) = (144/72) = 2

n = number of terms

So, the general formula for this exponential sequence will be

aₙ = arⁿ⁻¹

a = 9

r = 2

aₙ = 9 (2)ⁿ⁻¹

So, if we replace the nth term with the xth term, we can say

y = 9 (2)ˣ⁻¹

Hope this Helps!!!

Answer:

Step-by-step explanation:

Its 4.51

Answer:

1,61 %

Step-by-step explanation:

Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100

7/435*100= 1,61 %

We know that for a square of side length s, the perimeter is given by:

P(s) = 4*s

a) If initially we have s = 1cm, then the initial perimeter is:

P(1cm) = 4*1cm = 4cm

if now s changes to 1.5cm, the new perimeter will be:

p(1.5cm) = 4*1.5cm = 6cm

So the side length increased 0.5cm, and the perimeter increased 4 times that, 2cm.

b) We can define the change in side length as Δs, then if the initial side length is s, the new side length will be written as:

s + Δs

using this in the perimeter equation we get:

P(s + Δs) = 4*(s + Δs) = 4*s + 4*Δs = P(s) + ΔP

We can see that ΔP = 4*Δs

c) We already know the formula, it is P(s) = 4*s, the graph can be seen below.

d) We need to solve 8 = 4*s

To get this, we need to isolate s.

s = 8/4 = 2

s = 2

This means that if the perimeter is 8cm, then the side length must be 2cm

e) P = 4*s

is the perimeter in terms of the side length, we want to get the side length in terms of the perimeter, we just need to divide both sides by 4:

s = P/4

f) The formula we got in (e) is the formula P = 4*s divided on both sides by 4.

That is the relation between the two formulas.

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The given equation should be simplified using the Commutative Property and Associative Property of Addition as follows;

B. 12w + 3z + 6w

= 12w + 6w + 3z Commutative Property

= (12w + 6w) + 3z Associative Property

= 18w + 3z Add the coefficients.

The Associative Property of Addition states that when three (3) numbers are added, the end result or outcome (output) would always be the same regardless of the way the numbers are grouped.

Generally speaking, a major difference between the Associative Property of Addition and the Commutative Property of Addition is that associative property of addition allows for the re-grouping of addends in different ways without causing a change in the outcome while the Commutative Property of Addition allows the addends to be re-ordered without causing a change in the outcome.

Next, we would simplify the given equation by applying these two (2) properties as follows;

12w + 3z + 6w

12w + 3z + 6w = 12w + 6w + 3z → Commutative Property of Addition.

12w + 3z + 6w = (12w + 6w) + 3z → Associative Property of Addition.

12w + 3z + 6w = 18w + 3z → Add the coefficients.

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Answer:

No because she has used 4,008 miles as of May 8th, so the question stated 30 days or 4,000 miles whichever comes first, and it has not been 30 days, but she has used over 4,000 miles.

Step-by-step explanation:

^

Answer:

618

Step-by-step explanation:

l x w

34x5

14x27

5x14

618

Answer:

x=6

Step-by-step explanation:

Answer:

3(10x+4)=8(3x+6)

Step 1: Simplify both sides of the equation.

3(10x+4)=8(3x+6)

(3)(10x)+(3)(4)=(8)(3x)+(8)(6)(Distribute)

30x+12=24x+48

Step 2: Subtract 24x from both sides.

30x+12−24x=24x+48−24x

6x+12=48

Step 3: Subtract 12 from both sides.

6x+12−12=48−12

6x=36

Step 4: Divide both sides by 6.

6x = 36

Answer:

x=6

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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Answer:

Genotype: 100% rr
phenotype: 100% white

Step-by-step explanation:

since there are no dominant genes the cross will definitely be a rr genotype

Answer:

It’s c

Step-by-step explanation:

The graph of the linear functions are solved and a = 4, b = -2 , c = -4

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

y = f ( x )

Now , the functions on the graph are above and below the y = f ( x )

So , the value of a = positive

And , a = 4

Now , the value of b = negative

And , y = f ( x + b ) is below f ( x )

So , b = -2

And , similarly c = -4

Hence , the linear functions are solved

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Answer:

0.057

Step-by-step explanation:

Given that:

Number of machines, \(n\) = 10

Probability, that an individual machine will break down, \(p\) = 0.1

Probability, that an individual machine will not break down, \(q=1-\)\(p\)

To find:

The probability that on a given day, three machines will break down = ?

Solution:

First of all, let us have a look at the probability formula:

\(P(x=r) = _{n}C_{r}p^rq^{n-r}\)

Here, r = 3

Putting the values:

\(P(x=3) = _{10}C_{3}p^3q^{10-3}\\\Rightarrow P(x=3) = _{10}C_{3}{0.1}^30.9^{7}\\\Rightarrow P(x=3) = 120\times{0.1}^30.9^{7}\\\Rightarrow P(x=3) = \bold{0.057}\)

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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the correct answer would be 2 1/4 :)

Answer:

Step-by-step explanation:

5 years

\(1500(1+\frac{.06}{12})^{12*5}=2023.275229\)

10 years

\(1500(1+\frac{.06}{12})^{10*12}=2729.095101\)

486 months:

\(1500(1+\frac{.06}{12})^{486}=16935.47074\)

round those as you please

To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Answer: It would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.

Step-by-step explanation: To calculate the break-even point, we need to determine the point at which the savings from the lower premium on Option 2 offset the higher deductible.

Option 1:

Annual Premium = $775

Deductible = $500

Option 2:

Annual Premium = $650

Deductible = $1000

Let x be the number of years without a claim.

For Option 1, the total cost over x years would be:

Total Cost = $775x + $500

For Option 2, the total cost over x years would be:

Total Cost = $650x + $1000

To find when the two options break even, we need to set these two equations equal to each other and solve for x:

775x + 500 = 650x + 1000

125x = 500

x = 4

Therefore, it would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.

In comparison the theoretical probability of HEADS coming up to Aaron's experimental probability is 29/50 > 1/2.

Given that, Aaron flips a penny 100 times. HEADS comes up 58 times.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, probability of getting heads = 58/100

= 29/50

= 0.58

Probability of getting tails = 1-29/50

= 21/50

The theoretical probability of HEADS coming up is 1/2

Here, in comparison we get 29/50 > 1/2

Therefore, in comparison the theoretical probability of HEADS coming up to Aaron's experimental probability is 29/50 > 1/2.

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Answer:

Step-by-step explanation:

To answer this, look at the form of the answer. they want miles per hour. So, just do that calculation

She traveled 14 miles in 6 hours.

14 miles/6 hours

14/6 = 7/3 = 2.3333 miles/hour

a numerical expression is a mathematical statement involving only numbers and one or more operation symbols. and a algebraic expession is an expressions that includes at least one variable and at least one operation. Order of operation goes (), exponent, divison, multiplication, addtion and subratcion

Answer:

x^25

Step-by-step explanation:

The simplified expression is x²⁵.

Given is an expression (x⁵)⁵, we need to simplify the expression.

To simplify the expression (x⁵)⁵, we need to apply the exponentiation rules.

The exponent outside the parentheses should be distributed to each term inside the parentheses.

In this case, the exponent outside is 5, and the term inside the parentheses is x⁵.

To distribute the exponent, we multiply the exponents together.

Applying the rule, we get:

(x⁵)⁵ = x⁵⁽⁵⁾ = x²⁵

Therefore, the simplified expression is x²⁵.

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