There are 34 students and five teachers going on a trip if each ticket costs $9.50 how much money do they need to raise

Using the normal distribution, it is found that the probability that a data value is between 28 and 35 is given by:

A. 29.6%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, the mean and the standard deviation are given by:

[tex]\mu = 26, \sigma = 4[/tex].

As a proportion, the probability that a data value is between 28 and 35 is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 28, hence:

X = 35:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 26}{4}[/tex]

Z = 2.25

Z = 2.25 has a p-value of 0.988.

X = 28:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28 - 26}{4}[/tex]

Z = 0.5

Z = 0.5 has a p-value of 0.692.

0.988 - 0.692 = 0.296 = 29.6%, which means that option A is correct.

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Answer:

9-1=8

Step-by-step explanation:

he started with 9 but at the end of the day he had 8. meaning he ate 1 peice

Answer:

y = -5/4x + 7 1/4

Step-by-step explanation:

The difference in y (10) over the difference in x (8)

Inequalities help us to compare two unequal expressions. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The situation that can be represented by the inequality 150 ≤ 15x + 55 is Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?

Hence, the correct option is C.

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Answer:

11 + 13i

Step-by-step explanation:

A must know is that

[tex] \sqrt{i} = - 1[/tex]

Complex numbers

1st: foil the equations

[tex] - 3(1 - 2i) + 7i(1 - 2i)[/tex]

[tex] - 3 + 6i + 7i- 14 {i}^{2} [/tex]

2nd Combine like terms and substitute

[tex]i ^{2} for \: - 1[/tex]

[tex] - 3 + 14 + 13i[/tex]

[tex]11 + 13i[/tex]

Answer:

Step-by-step explanation:

Answer:

mPS = 80°

Step-by-step explanation:

angles on a circle subtended by the same arc are congruent

∠ PQS and ∠ PRS are both subtended by arc PS , then

10 + 3x = 110 - 7x ( add 7x to both sides )

10 + 10x = 110 ( subtract 10 from both sides )

10x = 100 ( divide both sides by 10 )

x = 10

then

∠ PQS = 110 - 7x = 110 - 7(10) = 110 - 70 = 40°

the inscribed angle PQS is half the measure of its intercepted arc PS , then

PS = 2 × 40° = 80°

Answer: y = -13

Step-by-step explanation:

Given:

[tex]\displaystyle \frac{y-8}{3} =-7[/tex]

Multiply both sides by 3:

[tex]\displaystyle y-8 = -21[/tex]

Add 8 to both sides:

[tex]\displaystyle y= -13[/tex]

Given equation,

Aim :

Cross multiplying them,

>> y - 8 = -7 × 3

>> y - 8 = -21

Transposing -8 from L.H.S. to R.H.S.,

>> y = -21 + 8

>> y = -13

Therefore :

Answer:

Step-by-step explanation:

16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46

( 16 + 18 + 23 + 25 + 26 + 34 + 37 + 37 + 40 + 41 + 46 ) ÷ 11 = 31.181818...

mean ≈ 31

median = 34

mode = 37

The value of p is equal to 76 when q is equal to 4

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

when p is 19 the value of a is 8

Replace the values and find out q

[tex]p=\frac{k}{q^2}[/tex]

[tex]22=\frac{k}{8^2}[/tex]

[tex]22=\frac{k}{64}[/tex]

Multiply both sides by 64

k=1216

Now we find out p when q is 4

Replace k value and q value to find out p

[tex]p=\frac{k}{q^2}[/tex]

[tex]p=76[/tex]

The value of p is equal to 76 when q is equal to 4

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Answer:

P = 88.

Step-by-step explanation:

P = k/q^2

22 = k/ 8^2

k = 22 * 64 = 1408.

So P = 1408/q^2

When q = 4:

P = 1408/4^2

q = 88

Answer:

Dimensions of tank:

⇒ Volume of each tank = width × length × height

                                       = 8.75 × 8.75 × 23

                                       = 1760.9375 in³

Given:

mass = density × volume

⇒ mass of hot coffee = 5.8 oz/in³ × 1760.9375 in³

                                     = 10213.44 oz (nearest hundredth)

⇒ mass of cold coffee = 3.5 oz/in³ × 1760.9375 in³

                                      = 6163.28 oz (nearest hundredth)

Convert the masses of the tanks from ounces to pounds

1 lb = 16 oz

⇒ mass of hot coffee tank = 10213.44 ÷ 16

                                            = 638.34 lb (nearest hundredth)

⇒ mass of cold coffee tank = 6163.28 ÷ 16

                                             = 385.21 lb (nearest hundredth)

If the table can hold a maximum of 800 lb:

hot coffee:  800 lb ÷ 638.34 lb = 1.25 (nearest hundredth)

cold coffee:  800 lb ÷ 385.21  lb = 2.08 (nearest hundredth)

Therefore, either:

can be placed on a table which can support a maximum weight of 800 lb

Answer:Don’t know I will just get points.Thx

Step-by-step explanation:

Step-by-step explanation:

k has to be replaced by k+1.

so,

4 / ((k+1)(k+1 + 3)) = 4 / ((k+1)(k+4))

I am not sure how far your teacher expects you to go with this.

just in case, I will do also the full multiplications

4 / ((k+1)(k+4)) = 4 / (k² + 4k + k + 4) = 4 / (k² + 5k + 4)

and if you need the factor to go from Pk to Pk+1 :

Pk+1 / Pk = (4/((k+1)(k+4))) / (4/(k(k+3)) =

= (4/((k+1)(k+4))) × (k(k+3))/4 =

= (k(k+3)) / ((k+1)(k+4))

Answer:

The answer is 1

Step-by-step explanation:

Answer:

B. 1/4

Step-by-step explanation:

We can use the distance = rate ⋅ time formula to find the distance Lee traveled. The formula d = rt looks like this when we plug in the numbers from the problem. The unknown distance is represented with the variable d. To find d, all we have to do is multiply 65 and 2.5.

Hey there!

ASSUMING

(3x)° + 45° = 180°

3x + 45 = 180°
SUBTRACT 45 to BOTH SIDES

3x + 45 - 45 = 180 - 45

SIMPLIFY IT!
3x = 180 - 45

3x = 135

DIVIDE 3 to BOTH SIDES

3x/3 = 135/3

SIMPLIFY IT!

x = 45°

Therefore, the answer should be:

x = 45

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given:

To solve:

(3x)°+45°=180°

First, subtract by 45 from both sides.

3x+45-45=180-45

Solve.

Subtract these numbers goes from left to right.

180-45=135

3x=135

Divide by 3 from both sides.

3x/3=135/3

Solve.

Divide these numbers from left to right.

135/3=45

[tex]\Longrightarrow: \boxed{\sf{x=45}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

Sherlyn swam 42 minutes on Saturday

Step-by-step explanation:

danced for 3 2/4 hours on Saturday

3 2/4 hours is equivalent to 3.5 hours

1 / 5 of (that time) 3.5 hours is (1 / 5) * 3.5 = 0.7 hours

Because one hour is equal to sixty minutes, in order to change the units you have to multiply the number of hours, 0.7, by 60.

0.7 x 60 = 42 minutes

Let me know if you have any questions !

AND WELCOME TO BRAINLY :)

Answer:

Step-by-step explanation:

-u-5+10u-25=9u-30

it was easy.

65.6

First find the hypotenuse:

(hyp)²=(opp)²+(adj)² theo. of pyth.

(hyp)²=(11)²+(5)² subt.

(hyp)²=121+25 calc.

√(hyp)²=√146

hyp=12.08cm

sinx = 11/12.08

x=sin-¹(11/12.08)

x=65.6°

Find Q

Not safe

Apply Pythagorean theorem

PR²=4²+15²=16+225=241

Answer:

a) not safe

b) 15.5 ft (nearest tenth)

Step-by-step explanation:

Tan trig ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

Substituting the given values into the formula and solving for x:

[tex]\implies \sf \tan(x)=\dfrac{4}{15}[/tex]

[tex]\implies \sf x=\tan^{-1}\left(\dfrac{4}{15}\right)[/tex]

[tex]\implies \sf x=14.9^{\circ}\:(nearest\:tenth)[/tex]

As 14.9° is not between 18° and 27°, the roof is not safe.

-------------------------------------------------------------------------------------------------

Pythagoras’ Theorem

[tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting the given values into the formula and solving for PR:

[tex]\implies \sf 15^2+4^2=PR^2[/tex]

[tex]\implies \sf 225+16=PR^2[/tex]

[tex]\implies \sf PR^2=241[/tex]

[tex]\implies \sf PR=\sqrt{241}[/tex]

[tex]\implies \sf PR=15.5\:ft\:(nearest\:tenth)[/tex]

Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

GCF of 52 and 130 is 26

I found a similar question here so that's what I can only tell you. I hope it will help you.

Answer:

Hey!

Well based on my knowledge it usually says that on the tissue box itself.... (in fine print)

i may be wrong.... but do check...

Answer:

v = -3

General Formulas and Concepts:
Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify given.

-6(v + 4) = -6

Step 2: Solve for v

∴ the value of v is equal to -3.

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Topic: Algebra I

Step-by-step explanation:

If 5x - 8 = 12 , then x = 4

5x - 8 = 12

5x = 12 + 8

5x = 20

x = 20/5

x = 4

If -2(3x + 5) = -17 + x , then x = 1

-2(3x + 5) = -17 + x

-6x - 10 = -17 + x

x + 6x = 17 - 10

7x = 7

x = 7/7

x = 1

The coordinates of the image of (-3, -7) after the translation will be equal to .(-12,2)

The process of changing the location of the image on the coordinate system will be known as the translation. Here the image is translated as (x-9,y+9).

The given coordinate of the point is:- (-3,-7)

So the translation will be calculated as:-

=(x-9,y+9 )

=(-3-9,-7+9

=(-12,2)

Hence coordinates of the image of (-3, -7) after the translation will be equal to (-12,7)

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Answer:

3 - 2n

Explanation:

Difference means we have to subtract integers.

Let the number be n. Twice of this number: 2n

Difference of 3 and twice this number: 3 - 2n