At the end of every month, Michael deposits $70 into his savings account. After 11 months, Michael's account had a total of $1250. Which of these equations expresses the amount y Michael has in his savings account after x months?
Answers:
y=70x

y−11=70(x−1250)

y−1250=70(x−11)

y=70x+1250

Answer:

The probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8 inches is 0.3897

Step-by-step explanation:

Mean =[tex]\mu = 70 inches[/tex]

Standard deviation =[tex]\sigma = 10 inches[/tex]

We are supposed to find the probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8 inches

We will use z-score formula :

[tex]Z = \frac{x-\mu}{\sigma}\\Z=\frac{72.8-70}{10}\\Z=0.28[/tex]

We will use z table

[tex]P(X \geq 72.8)=1-P(X\leq 72.8)=1-0.6103=0.3897[/tex]

Hence  the probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8 inches is 0.3897

Answer:

4

Step-by-step explanation:

trust

The value of DA in parallelogram ABCD is 4 inches.

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel to each other.

In parallelogram ABCD:

AB = DC, AD = BC

Hence:

8x - 5 = 3x + 10

5x = 15

x = 3 units

AB = 8(3) - 5 = 19 inches

Let y = AD = BC:

AB + BC + DC + AD = perimeter

19 + 19 + y + y = 46

y = 4 inches

The value of DA in parallelogram ABCD is 4 inches.

Find out more on parallelogram at: https://brainly.com/question/970600

Answer:

B

Step-by-step explanation:

y = 3

then x = 2

so b

3 = 3/2(2)

3 = 6/2 = 3

3 = 3

so when x = 1 then 3/2(1) = 3/2 so y = 3/2

Answer:

14250

Step-by-step explanation:

14250

6

=2375

Answer:

14,250

Step-by-step explanation:

Just multiply 6 by all of them.

Answer:

if you can show the triangle, that would be much helpful...

Answer:

183,600 ways

Step-by-step explanation:

TOPIC : PERMUTATION & COMBINATION

Question: In how many ways can a committee of 6 members - with at least 2 women - be selected?

In other words, how many ways are there, to select a committee of 6 members including at least 2 women?

* Permutation deals with the orderly arrangement of items while Combination deals with the manner of selection of items from a group, without regard to order. In other words, this question has to do with Combination.

There are 12 women and 18 men and you're to select 2 women and 4 men.

The combination for men and women will be found separately and then multiplied together.

WOMEN: 2 OUT OF 12

12! ÷ [2! × (12 - 2)!]  =  12! ÷ [2! 10!]

= 12×11×10×9×8×7×6×5×4×3×2×1   = 479,001,600  =  66

  2×1   ×10×9×8×7×6×5×4×3×2×1       7,257,600

MEN: 4 OUT OF 18

18! ÷ [4! (18 - 4)!]  =  18! ÷ [4! 14!]

= 18×17×16×15×14×13×12×11×10×9×8×7×6×5×4×3×2×1  = 3,060

  4×3×2×1   ×14×13×12×11×10×9×8×7×6×5×4×3×2×1

ANSWER:

₁₂C₂  ×  ₁₈C₄  = 66 × 3060  = 183,600

Answer:

-2

Step-by-step explanation:

z=-2

Answer:

1300 feet

Step-by-step explanation:

just multiply 400x3.25 because 15 minutes is a quarter of an hour.

Answer:

21

Step-by-step explanation:

:)

Answer:

Es una pregunta doble, calcule una y grafíquela, calcule la otra y grafíquela, ps: dame lo más inteligente.

Answer:

C=13 I think this is the right answer

Answer:

217 344/1000 or 217 43/125

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

55+5=60

6+4=10

60/10=6

Answer:

[tex]\Huge\boxed{x=6}[/tex]

Step-by-step explanation:

In order to solve this equation, our goal is to "reverse" the equation until we have x isolated on one side.

[tex]6x+4x-5=55[/tex]

We can first combine the x terms.

So x = 6.

Hope this helped!

Answer:

oop uh so just multiply the fraction by 5 sorry if i get it wrong i remeber doing this question in 3rd grade but kinda forgot

Step-by-step explanation:

ok what do you need help with

Answer: c

Step-by-step explanation: this answer is Unknown  

The direction of the boat sail to head directly back to the marina which leaves the marina and sails 13 miles northeast, then 12 miles east is 23.45° W of S.

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

A boat leaves the marina and sails 13 miles northeast, then 12 miles east. The image of the problem is attached below.

Thus, the value of the third side is,

[tex]c=\sqrt{12^2+13^2-(2\times12\times13\times \cos 135)}\\c=23.01[/tex]

The measure of the angle x is,

[tex]\angle x=\cos^{-1}\dfrac{23.1^2+13^2-12^2}{2\times23.1\times13}\\\angle x=23^o26'57"\\\angle x=23.449^o[/tex]

Thus, the direction of the boat sail to head directly back to the marina which leaves the marina and sails 13 miles northeast, then 12 miles east is 23.45° W of S.

Learn more about the law of cosine here;

https://brainly.com/question/4372174

Answer:

y = (-1/4)x + 3

Step-by-step explanation:

to find the perpendicular slope you just find the reciprocal of 4 which is (-1/4)

then find the y-intercept making the line go through (-8, 5) so you do:

y = (-1/4)x + b

5 = (-1/4)(-8) + b

5 = 2 + b

-2  -2

3 = b

Answer:

P(X < 3) = 0.9375

Step-by-step explanation:

If the coins tossed by the 3 people all turn up the same, it means that we will have either; HHH or TTT

H is head and T is tail.

Thus; the probability of failure in each trial is;

q = P(HHH) + P(TTT)

P(H) = ½ and P(T) = ½.

Hence;

q = P(HHH) + P(TTT) = (½ × ½ × ½) + (½ × ½ × ½) = ⅛ + ⅛ = ¼ = 0.25

In binomial probability, p = 1 - q

Thus; p = 1 - 0.25 = 0.75

Now to find the probability that fewer than 3 tosses are needed is given by the expression;

P(X < 3) = P(1) + P(2)

Now, because the toss trials are independent, it means that x = 1.

Since x = 1,we can make use of geometric distribution formula which is given by;

P(X = x) = p^(x) • q^(n - x)

Thus;

P(1) = 0.75^(1) × 0.25^(1 - 1)

P(1) = 0.75 × 1

P(1) = 0.75

P(2) = 0.75^(1) × 0.25^(2 - 1)

P(2) = 0.75 × 0.25

P(2) = 0. 75 × 0.25

P(2) = 0.1875

Thus;

P(X < 3) = 0.75 + 0.1875

P(X < 3) = 0.9375

Answer:

-8

Step-by-step explanation:

plug in -8 for x

Answer:

55

Step-by-step explanation:

if oak trail is 125 then pine trail is also 125 and we know that a straight line is 180 so 180-125=55

Answer:

55 degrees

Step-by-step explanation:

180 degrees  - 125 degrees

The line with 125 is a flat line which is 180 degrees. The oak trail and pine trail are parallel which means they both are 180 degrees. So 180-125 is x.

Explanation:

Difference indicates subtraction:

The difference of a number and

9

is

(

x

−

9

)

Twice the difference means

2

(

x

−

9

)

We know that the answer to this is

2

, so as an equation:

2

(

x

−

9

)

=

2

If you solve it we would have:

x

−

9

=

1

←

÷

2

x

=

1

+

9

x

=

10

The difference between

10

and

9

is

1

and twice

1

is

2

.

The number is correct.

Note that written as:

The difference of twice a number and

9

would have a different expression. This would be

2

x

−

9

Did this help? if so leave a thanks!

Answer:

A

Step-by-step explanation:

Answer:

mmnjlnijijikmo;ll

Step-by-step explanation:

ijij;jo;j;k

Answer:

-7x + 5

General Formulas and Concepts:

Distributive Property

Combining Like Terms

Step-by-step explanation:

Step 1: Write expression

-5(2x - 1) + 3x

Step 2: Simplify

Answer:

1,000

Step-by-step explanation:

800/4=200

200 times 5=1,000