very simple question, help asap , giving brainliest.

Answer:

-0.5

Step-by-step explanation:

z-score = (x- mean)/SD

(145-155)/20 = -10/20 = -0.5

Answer:

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

​

z-score formula

z=\frac{155-190}{20}

z=

20

155−190

​

Plug in values

z=\frac{-35}{20}

z=

20

−35

​

Subtract

z=-1.75

z=−1.75

Divide

\text{They scored 1.75 standard deviations below the mean.}

They scored 1.75 standard deviations below the mean.

Answer:

32 cubic feet

Step-by-step explanation:

To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.

In this case we have a rectangular hole that has an area of 8 square feet.

As we said before:

Volume = Area x height.

If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:

Volume = 8 x 4 = 32 cubic feet.

Thus, the volume of John's hole is 32 cubic feet.

Answer:

32 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is given by;

Length*width*Height

or, Area*height

Height = 4 feet

Area= 8 square feet

Conversion to Cubic feet is given by;

(cubic feet) = (square feet) × (height in feet)

Therefore,

Cubic feet = 8 square feet*4 feet

= 32 cubic feet.

Answer:

Q4. 2144     Q5. -16     Q6.   Downwards     Q7.   0 seconds

Step-by-step explanation:

Q4.    h(t) = -16t² + 2400    Substitute 4 for t

h(4) = -16(4)² + 2400          Simplify the exponent

h(4) = -16(16) + 2400          Multiply

h(4) = -256 + 2400            Add

h(4) = 2144

Q5.   I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.

Q6.   At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.

Q7.   0 seconds because the rocket goes 0 feet in 0 seconds.

If these answers are correct, please make me Brainliest!

Answer:

1/76

Step-by-step explanation:

Five marbles are red,

four are green,

ten are blue, and

one is white.

Sample space S= 5+4+10+1= 20

Probability of selecting a red Mable

Pr(red) = 5/20= 1/4

Probability of selecting a white Mable without replacement after the first selection

Pr(white) = 1/19= 1/19

the probability of selecting a red marble and then a white marble without replacement?

= 1/4*1/19= 1/76

Answer:

The axis of symmetry is x = 5/2.

Step-by-step explanation:                             -b           -(-5)

The formula for the axis of symmetry is x = --------  =  --------- = 5/2

                                                                          2a          2(1)

Answer:

Step-by-step explanation:

3^2 + 4^2 = 5 ^2

in right triangle. c is always the longest

Answer:

[tex]3^{2} +4^{2}+ 5^{2}[/tex]

Step-by-step explanation:

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x.

x-intercept(s): (2.30581496,0)

y-intercept(s): None

Answer:

7110 books

Step-by-step explanation:

5%*15800=0.05*15800=790

790*11=8690

15800-8690=7110

Therefore, 7110 books

Answer: 86,900

Step-by-step explanation:

I changed the 5% into decimal form and made it 0.5. Next, I multiplied 0.5 by 11, which gave me 5.5.

15,800 x 5.5 = 86,900

So, the author would’ve sold 86,900 books in the first 11 months.

(Sorry if wrong. Yeah I think I’m wrong now because I’m not even in high school. Just ignore this lol)

Answer:

To be done in time, he would need to solve 6 questions per day on the days that he is not on trip

Step-by-step explanation:

If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days

Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions

Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work

This makes a total of 1 question per day

Adding this to the 5 questions per day he has before will be = 6 questions per day

Answer:

6 problems

Step-by-step explanation:

Please consider the complete question.

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: [tex]-c = ax^2 + bx[/tex]

Step 2: [tex]-c = a[x^2+\frac{b}{a}x][/tex]

Which best explains or justifies Step 2?

A. division property of equality

B. factoring the binomial

C. completing the square

D. subtraction property of equality

We can see that in step 2 student has factored the right side of equation.

The student factored our a from the right side of equation. To factor our a from right side, student has divide the bx term by a.

We can multiply and divide by same quantity in an equation.

[tex]-c = ax^2+a\cdot \frac{b}{a}x[/tex]

Now we can factor out a as:

[tex]-c = a(x^2+\frac{b}{a}x)[/tex]

Therefore, the 2nd step is known as factoring of binomial and option B is the correct choice.

Answer:

it b factoring a binomial on

Step-by-step explanation:

thats on edge

Answer:

-60

Step-by-step explanation:

(-3 x [tex]10^{4}[/tex]) x (2 x [tex]10^{-3}[/tex])

(-30,000) x (.002) = -60

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

Well, P(Monday)= 1/7 = 14.3%

P(starts with S)= 2/7 = 28.6%

P(Monday or starts with S)= 3/7 = 42.9%

Step-by-step explanation:

Have a good day!!!

The probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

And, the probability of choosing Monday or starts with S is,

P = 3/7

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A day of the week is randomly chosen.

Since, Number of days in a week = 7

Hence, the probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

So, the probability of choosing Monday or starts with S is,

P = 2/7 + 1/7

P = 3/7

Learn more about the probability visit:

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Answer:

Step-by-step explanation:

Let amount now be x , meaning principal is x

and the amount later A is 2x

A = P(1+r/n)^nt

n = 12

2x = x (1 + 0.06/12)^12t

divide through by x

2 = (1+ 0.005)^12t

2 = (1.005)^12t

Take log of both sides

log 2 = 12t log 1.005

12t = log2/log 1.005

12t = 138.975721610697

t = 138.975721610697/12

t = 11.58

t = 12 years

Answer:

You should expect her to be wrong 32 times.

Step-by-step explanation:

For each forecast that she makes, there are only two possible outcomes. Either she is correct, or she is not. The probability of she being correct on a forecast is independent of other forecasts. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

0.8 chance of being correct.

So 1 - 0.8 = 0.2 change of being wrong, which means that [tex]p = 0.2[/tex]

160 forecasts:

This means that [tex]n = 160[/tex]

How many of these times would you expect she is wrong?

[tex]E(X) = np = 160*0.2 = 32[/tex]

You should expect her to be wrong 32 times.

Answer:Regina recieved $14 dollars of change

Step-by-step explanation:

12+14=26

40-26=14

The change received by Regina is $14.

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Regina bought a book for price = $12

Regina bought a game for price = $14

Total amount paid by Regina = $40

The Regina should receive the change,

⇒ [tex]Change = 40-(12+14)[/tex]

⇒ [tex]Change = 40-26[/tex]

⇒ [tex]Change = 14[/tex]

Hence we can conclude that the change received by Regina is $14.

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Answer:

No it wont

Step-by-step explanation:

Answer:

The area of the circle is [tex]153.94meters^2[/tex]

Step-by-step explanation:

The formula for the area of a circle is : [tex]\pi *radius^{2}[/tex]

To work this out you would first need to divide the diameter of 14 by 2, this gives you 7. This is in order for us to calculate the radius. The radius of a circle is the length from one side to the centre.

Now that we know the radius the next step is to multiply pi by the radius of 7 squared, this gives you 153.94. This is because in order for you to calculate the area you would substitute the values into the formula.

1) Divide 14 by 2.

[tex]14/2=7[/tex]

2) Multiply pi by 7 squared.

[tex]\pi *7^2=153.94 meters^2[/tex]

153.94 square meters is the area of the triangle.

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

The formula to calculate the area of a circle is A = πr², where A is the area and r is the radius of the circle.

Since the diameter is given as 14 meters, the radius can be calculated by dividing the diameter by 2:

r = d/2 = 14/2 = 7 meters

Now, we can substitute this value of radius into the formula for the area of a circle:

A = πr² = π(7)² = 49π square meters

Therefore, the area of Fiona's circle is 49π square meters (or approximately 153.94 square meters if π is approximated to 3.14).

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Answer:

y=[tex]\frac{3}{2} x+3[/tex]

Step-by-step explanation:

Answer:

a) 16[tex]\pi[/tex]

b) Using [tex]\pi[/tex] is more accurate because it represents the exact and full value of pi, rather than an estimation or approximation like 3.14.

Step-by-step explanation:

The formula to find the volume of a cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]. We know the radius is 6, so all we need to find is the height, h. By using the Pythagorean theorem, we can see that the height is [tex]10^{2} - 6^{2} = \sqrt{64}[/tex], or 8. Plugging in all the values into the formula gives us:

V = [tex]\frac{1}{3} \pi (6)(8)[/tex]

V = 16[tex]\pi[/tex]

Hope this helped! :)

Answer:

25,600

Step-by-step explanation:

You can use the rule of three considering that the number of dolls sold varies directly with the advertising budget:

$54,000    →   9,600

$144,000   →       x

[tex]x=\frac{144,000*9,600}{54,000}[/tex]

x=25,600

According to this, the number of dolls sold if the amount of advertising budget is increased to $144,000 is 25,600.

The number of dolls sold should be 25,600.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \$144,000 \times 9,600 \div \$54,000[/tex]

= 25,600

Therefore we can conclude that The number of dolls sold should be 25,600.

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Answer:

He can make 2 batches of lemonade with 1 pint of lemon juice.

Step-by-step explanation:

First convert 1 pint to ounces

1 pint of lemon juice = 16 fluid ounces

To get the number of batches  that can be made with 1 pint (16 fluid ounces) of lemon juice, we can simply use proportion;

Let x be the number of batches Farid can make with 1 pint(16 fluid ounces) of lemon juice

8 fluid ounces = 1 batch

16 fluid ounces = x

cross-multiply

8x = 16

Divide both-side of the equation by 8

8x/8 = 16/8

x= 2 batches.

Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.

He can make 2 batches of lemonade with 1 pint of lemon juice.

Given that,

Farid uses 8 fluid ounces of lemon juice in one batch of lemonade.

We have to determine,

How many batches can he  make with 1 pint of lemon juice?

According to the question,

First, convert 1 pint to ounces

1 pint of lemon juice = 16 fluid ounces

To find the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, the equation can be simplified by using proportion;

Let, x be the number of batches Farid can make with 1 pint (16 fluid ounces) of lemon juice.

8 fluid ounces = 1 batch

16 fluid ounces = x batch

Solving the equation by cross multiplication,

[tex]\dfrac{8}{16} = \dfrac{1}{x}\\\\8x = 16\\\\x = \dfrac{16}{8}\\\\x = 2[/tex]

Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.

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Answer:

area - 120 cm

Step-by-step explanation:

Answer:

A = 120 cm^2

P = 54 cm

Step-by-step explanation:

Area of parallelogram: = base * height

A = 15 cm * 8 cm = 120 cm^2

Perimeter of parallelogram = sum of lengths of sides

P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm

Answer:

(1,-3)

Step-by-step explanation:

Answer:

The explicit formula is Tn = 34 + 3n

Step-by-step explanation:

The nth term of an arithmetic sequence can be represented using the formula

Tn = a + (n-1)d

where a is the first term , n is the number of terms and d is the common difference

For the 12 term(a12), n = 12

70 = a + (12-1)d

70 = a + 11d •••••••(i)

For the 30th term, n = 30

124 = a + (30-1)d

124 = a + 29d •••••••(ii)

Now, directly subtract equation i from ii, we have;

124-70 = (a-a) + (29d-11d)

54 = 18d

d = 54/18

d = 3

To get a , we substitute the value of d in any of the equations

let’s use the first

70 = a + 11d

substituting d = 3

70 = a + 11(3)

70 = a + 33

a = 70-33

a = 37

Thus the explicit formula for the nth term will be

Tn = a + (n-1)d

where a = 37 and d = 3

Tn = 37 + (n-1)3

Tn = 37 + 3n -3

Tn = 34 + 3n

Answer:

$915.92

Step-by-step explanation:

i = p(1 + r)^t

i = $800(1 +.07)^2

i = $800(1.07)^2

$915.92