I need help with the top 3 plz

An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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Max needs to buy two rolls of string, hopefully this helped :)

Solving for the circumference and using the formula for the circumference we got the radius as 74.95 feet

Given Data

1/4 of the circumference = 117.75 feet.

Let the circumference be x feet

1/4*x = 117.75

x/4 = 117.75

cross multiplying

x = 4*117.75

x = 471 feets

The expression for the circumference is given as

C = 2πr

471 = 2πr

Making r subject of formula we have

r =  = 471/2*3.142

r = 471/6.284

r = 74.95 feet

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Answer:

I hope its c

Step-by-step explanation:

please let me know if its wrong

Answer:

4x/3=4

4x=12

x=12/4

x=3

9514 1404 393

Answer:

Step-by-step explanation:

If order doesn't matter, the number is the combinations of 50 things taken 20 at a time:

  50C20 = 47129212243960 ≈ 4.713×10^13

If order does matter, then the number of ways is this value multiplied by 20!:

  50P20 = 114660755112113373922453094400000 ≈ 1.147×10^32

_____

nCk = n!/(k!(n-k)!)

nPk = n!/(n-k)!

The sampling method is independent as the rain samples were taken from two different locations. As the sample sizes are small, they can be approximately considered normal distributions and t-test can be used to check the hypothesis.

Used in inferential statistics, t test can be used when we need to compare two different sets value to check if their is a significant difference between them.

T tests can be paired and dependent, like measuring the weight of a same patient before and after a diet or they can be unpaired an independent. Unpaired datasets might sometime have the same variance or unequal variance. Different formular are used to calculate the t-tests involving different datasets. To prove a null or alternate hypothesis, the t values must be checked with t- test table.

As the following datasets measuring rain pH at different cities are indepent and have unequal variances, the following formula should be used for calculating the t-score and the degree of freedom:

T-value= \(\frac{Mean1-Mean2}{\sqrt(\frac{var1}{n1})+(\frac{var2}{n2})}\)

Substituing the values of Mean1=4.77; Mean2=4.50, Var1=0.1366, Var2= 0.0242, n1= 12, n2= 14, we get the t value as 2.27

Now calculating degree of freedom, which comes around

Δ=14

At x=0.05, from the table, t value=2.145

Hence as the calculated t vale is more than critical t value, null hypothesis can be rejected and alternate hypothesis can be accepeted proving that their is a significant visible difference in pH in the rain of Chicago and Huston.

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Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).

To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.

The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.

For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.

To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.

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The probability that more than 2 students have blue eyes is 0.149, the expected number of students out of the 4 with blue eyes is 0.4, the variance is 0.36, and the standard deviation is 0.6.

a) P(X = 3) = (4 choose 3) * \((0.10)^3 * (0.90)^1\) = 0.0036

So the probability that exactly 3 of them have blue eyes is 0.0036.

b) P(X = 2) = (4 choose 2) * \((0.10)^2 * (0.90)^2\) = 0.0386

So the probability that exactly 2 of them have blue eyes is 0.0386.

c) P(at least 1) = 1 - P(none) = 1 - \((0.90)^4\) = 0.3439

So the probability that at least 1 of them has blue eyes is 0.344.

d) P(X > 2) = P(X = 3) + P(X = 4) = (4 choose 3) * \((0.10)^3 * (0.90)^1\) + (4 choose 4) * \((0.10)^4 * (0.90)^0\) = 0.0001

So the probability that more than 2 have blue eyes is 0.0001.

e) E(X) = n * p = 4 * 0.10 = 0.4

So the expected number of students out of the 4 with blue eyes is 0.4, not 0.291 as provided.

f)Var(X) = n * p * (1 - p) = 4 * 0.10 * 0.90 = 0.36

So the variance is 0.36.

g) SD(X) = sqrt(Var(X)) = sqrt(0.36) = 0.6

Standard deviation is 0.6.

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A triangular prism is a prism which has both of its base sides as a rectangle. The length of side AB is 5/(√2) cm.

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

The area of AEDC is 25 cm². Therefore,

AEDC = AC²

25 cm² = AC²

AC = 5 cm

In ΔABC,

AB² + BC² = AC²

Since AB=BC,

2(AB²) = AC²

AB² = 25/2

AB = 5/√2 cm

Hence, the length of side AB is 5/(√2) cm.

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Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

The solution is, the simplification of the expression is:

{16 - 9x^2 + 14x}

Here, we have,

given that,

the expression:

{√49 + [√81 - x (9x - 14)]}

now, we have to simplify this expression:

{√49 + [√81 - x (9x - 14)]}

={7 + [9 - x (9x - 14)]}

={7 + [9 - 9x^2 + 14x]}

={7 +9 - 9x^2 + 14x}

={16 - 9x^2 + 14x}

Hence, The solution is, the simplification of the expression is:

{16 - 9x^2 + 14x}

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Answer:

6 miles

Step-by-step explanation:

From the information given you can write the following equation:

x+y= 16 (1), where

x= April's distance

y= Blake's distance

You also have that Blake ran 4 miles farther than April which means that y= 4+x and you can replace this in the first equation and isolate x:

x+(4+x)= 16

x+4+x=16

2x=16-4

x=12/2

x= 6

According to this, the answer is that April ran 6 miles.

The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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Answer:

y = - \(\frac{1}{3}\) x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{1}{3}\) x + 5 ← is in slope- intercept form

with slope m = - \(\frac{1}{3}\)

• Parallel lines have equal slopes , then

y = - \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (9, - 1 ) into the partial equation

- 1 = - \(\frac{1}{3}\) (9) + c = - 3 + c ( add 3 to both sides )

2 = c

y = - \(\frac{1}{3}\) x + 2 ← equation of parallel line

The sales Sam need to make $733.50 per week before taxes is $3475.

Given, Sam is paid $14 per hour plus 6% of sales.

If he worked 37.5 hours in one week, what would his sales need to make

$733.50 per week before taxes = ?

Let the sales be represented by x

Amount made from no of hours worked :

= $14 × 37.5 hours

=$525

Sales made = 6% of x

=0.06x

Total = 0.06x+$525

=$733.50

0.06x=733.50-$525

=$208.5

x=$3,475

Hence we get the required answer.

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The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

x = -8

Step-by-step explanation:

-9 (x+2) = 54

-9x - 18 = 54

-9x = 72

x = -8

Hope this helps :)

Let me know if there are any mistakes!!

Altitude (AB) = 9cm

Base (BC) = 12cm

Hypotenuse (AC) = ?

\( \fbox \text{According To Pythagoras Theorem = }\)

\( \text{(Hypotenuse)² = (Altitude)² + (Base)²}\)

Inserting The Values

\( \text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15\)

\( \therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}\)

Option B= 15cm is the correct answer

Answer:

14. 13.65

15. 7.53

17. 0.0371

18. 0.81

19. 0.864

Here are some answers! Hope this helps

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.

A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.

Stock fund (S) Bond fund (B)

Expected Return 14% 7%

Standard Deviation 43% 37%

Risk-free returns , Rf = 5.3%

Correlation coefficient = 0.459

Covariance : 0.459 = COV(s,b)/0.43×0.37

Covariance = 0.073

Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)

= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)

Weight of S = 42.18%

Weight of B = 1 - 42.18 = 57.82%

Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%

= 5.90 + 4.05 = 9.95

Standard Deviation of the portfolio (SDp)

= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2

= 28.68

Reward to volatility = (Expected return - Rf) / SD of Portfolio

= (9.95- 5.3) / 28.68

=0.1621

Hence, the required volatility is 0.1621 or 16.21%.

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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:

40m^2    152.6m^2

Step-by-step explanation:

the ratio of the side length of the smaller triangle to the side length of the larger triangle: the area of the smllest triangle is 64ft²

At the point when we have similar figures, its lengths have a constant ratio. For this situation, the ratio from the smallest to the biggest is:

r = 8/9

The areas of similar figures are connected with the square of the ratio of the lengths, that is:

\(r^{2}\) = \(A_{smallest \\\)/ \(B_{biggest\) =  \(A_{2} / A_{1}\)

\(A_{2}\) =  \(r^{2}A_{1} = (8/9)^{2}. 81ft^{2} = 64ft^{2}\)

In this way, the area of the smllest triangle is 64ft².

This means that the ratio of the lengths of the briefest side to the hypotenuse of any 30-60-90 right triangle is 1:2. Consequently, On the off chance that a triangle is a 30-60-90 right triangle, the ratio of the sides (short leg:long leg:hypotenuse) is 1:√3:2

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Step-by-step explanation:

volume of prism = 4 1/2 × 4 1/2 × 6

= 9/2 × 9/2 × 6

= 121.5 cm³

storage container = 143 cm³

Difference = 143 - 121.5 = 21.5 cm³

Answer:

21 1/2

Step-by-step explanation:

The value of -3√5 as the opposite of the square root is -75.

What in mathematics is a square root?

The factor we can multiply by itself to obtain a given number is the number's square root.

               Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

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Answer is in the photo. I can only upload it to a file hosting service. link below!

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