The histogram on the left shows the number of hours students in a British Literature class read last week, rounded to the nearest hour. Which of the following statements offers the best description of the median number of hours students in the class read last week?​

Answer:

48 hours

Step-by-step explanation:

Subtract 15 from 327

Divide result by 6.5

Answer:

3

Step-by-step explanation:

-3 + 6 would be 3.

hope it helps!

Answer:

Height is 135 ft

Step-by-step explanation:

Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.

Then we can use the Pythagorean theorem to solve for the height (h):

h^2 + (h - 51)^2 = (h + 24)^2

h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576

grouping all terms on the left of the equal sign, we get:

h^2 -150 h + 2025 = 0

This gives two possible answers:

h = 135

and

h = 15

We opt for h = 135, because the other solution will render a negative leg for the triangle.

Answer:

7 granola bars

Step-by-step explanation:

560 calories in 4 bars

560/4 = 140 per bar

980/140 = 7 bars

Answer:

C. (4, 15)

Step-by-step explanation:

The point (4, 15) is not on or within the feasible region.

I hope this helps.

Answer:

A. 11x-3

Step-by-step explanation:

perimeter=sum of all sides

=(x+3)+(2x-4)+(4x+5)+(3x-1)+(x)

= 11-3

Answer:

Step-by-step explanation:hry

Answer:

Step-by-step explanation:

You can change radicals to fractional exponents and vice versa. The 1/2 power means square root. The 1/3 power means the cubed root. etc etc

A:) [tex](81)^\frac{1}{2} =\sqrt{81} =9[/tex]

B:) [tex](125)^\frac{1}{3} =\sqrt[3]{125} =5[/tex]

C:) [tex](49)^\frac{3}{2}=\sqrt{(49)^3} =343[/tex]

D:) [tex](8)^\frac{5}{3}=\sqrt[3]{(8)^5}=32[/tex]

Answer:

rotation then translation

Step-by-step explanation:

I took it and I got it right

Answer:

Lower quartile = 65

Upper quartile = 95

Median = 80

Step-by-step explanation:

✔️Lower quartile = the value at the beginning of the edge of the rectangular box = 65

✔️Upper quartile = the value at the end of the edge of the rectangular box = 95

✔️Median = the value indicated by the vertical line that divides the box into two = 80

Answer:

is this actually a question

Step-by-step explanation:

Answer:

C. 3.33 moles

Step-by-step explanation:

Ammonia decomposes

[tex]2NH_3\rightarrow N_2+3H_2[/tex]

We have to find the moles of hydrogen formed in 2.22 moles of ammonia.

From the reaction

2 moles of ammonia gives 3 moles of hydrogen

1 mole of ammonia  produce hydrogen=3/2 moles

2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles

Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia

=[tex]\frac{6.66}{2}=3.33[/tex]moles

Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.

Option C is true.

C. 3.33 moles

Answer:

24

Step-by-step explanation:

you can get the answer from the attachment

The midsegment of a trapezoid divides the trapezoid into equal parts.

The length of the midsegment of MNOP is 24

The lengths of the base are given as:

[tex]\mathbf{MN = 25}[/tex]

[tex]\mathbf{OP = 23}[/tex]

Let the midsegment be x.

So, we have:

[tex]\mathbf{x=\frac{1}{2}(MN + OP)}[/tex]

Substitute values for MN and OP

[tex]\mathbf{x=\frac{1}{2}(25 + 23)}[/tex]

[tex]\mathbf{x=\frac{1}{2}(48)}[/tex]

[tex]\mathbf{x=24}[/tex]

Hence, the midsegment of MNOP is 24

Read more about midsegments of trapezoids at:

https://brainly.com/question/7511906

Step-by-step explanation:

3+a=4-b

4+b=7+a

a=1-b

4+b=7+1-b

2b=4

b=2

a=1-2= -1

3-a= 3- -1= 3+1=4

3-a=4

Answer:

The answer is 4.

Step-by-step explanation:

First, you have to form simultaneous equations :

[tex]3 + a = 4 - b[/tex]

[tex]a + b = 1 - - - (1)[/tex]

[tex]4 + b = 7 + a[/tex]

[tex]a - b = - 3 - - - (2)[/tex]

Next, you have to solve it :

[tex](1) - (2)[/tex]

[tex]a + b - (a - b) = 1 - ( - 3)[/tex]

[tex]2b = 4[/tex]

[tex]b = 2[/tex]

[tex]sub \: \: b \: = 2 \: \: into \: \: (1)[/tex]

[tex]a + 2 = 1[/tex]

[tex]a = 1 - 2[/tex]

[tex]a = - 1[/tex]

Lastly, you have to substitute a-value into the expression :

[tex]3 - a = 3 - ( - 1) = 4[/tex]

Answer:

n (A) = { 2,4,6,8,10,12,14,16,18,20}

n(A) = 10

I hope it helps

Answer:

[tex]2\frac{3}{4}[/tex] or 2.75, depending on what you need.

Step-by-step explanation:

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The computation is shown below:

The numbers of possible results at the time when we drawing in two tries is 9

i.e. shown below:

11, 12, 13, 21, 22, 23, 31, 32, 33

Now the probability is

[tex]p=\frac{\text{no. of favorable cases }}{\text{total no. of outcomes}}\\\\=\frac{3}{9}\\\\=\frac{1}{3}[/tex]

Answer:

ax(x+1)

ax(x+a)

Step-by-step explanation:

ax² + ax

= ax(x+1)

ax² + a²x

= ax(x+a)

hope it helps ☺️

Answer:

[tex]M(x,y) = (4.8,4.4)[/tex]

Step-by-step explanation:

Given

[tex]P(x_1,y_1) = (6,2)[/tex]

[tex]Q(x_2,y_2) = (3,8)[/tex]

[tex]m:n = PM:MQ = 3 : 2[/tex]

Required

Determine the coordinates of M

To solve this, we make use of the following partition formula:

[tex]M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})[/tex]

Substitute values for m, n, x's and y's

[tex]M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})[/tex]

[tex]M(x,y) = (\frac{24}{5},\frac{22}{5})[/tex]

[tex]M(x,y) = (4.8,4.4)[/tex]

Option D is correct

Answer:

2

Step-by-step explanation:

We have a multiplication problem within a whole number and a fraction.

When multiplying fractions with whole numbers, you always multiply the whole number with the numerator of the fraction.

[tex]\frac{numerator}{denominator}[/tex]

[tex]\frac{4}{8} *4[/tex]

[tex]\frac{4*4}{8}[/tex]

[tex]\frac{16}{8}[/tex]

Divide 16 by 8 :

[tex]2[/tex]

Answer:

18.00

Step-by-step explanation:

0.45 x 5 = 2.25

2.25 x 7 = 15.75

2.25 + 15.75 = 18.00

Answer:

2x−y=5

Step-by-step explanation:

Answer:

9,4

Step-by-step explanation:

Answer:

He can make only one batch of cookies.

Step-by-step explanation:

Just by mental math you can say he can make maximum one batch of cookies.

Total sugar = 10 cups

sugar used for lemonade = 2 cups

leftover sugar = 8 cups

For 1 batch of cookie sugar needed = 11/2

which means 5 and 1/2 cups

And he's just left with 8 cups of sugar after lemonade

8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch

That means the maximum number of cookies batches is 1.

Another way to solve it by inequality:

2+Il/2 X < 10

11/2 X < 8

11X < 16

X < 1 6/11

So he can make only one batch of cookies.

Step-by-step explanation:

3(9e+8) is the correct answer of this qn

=======================================================

Work Shown:

We use the intersecting chords theorem

(AH)*(HG) = (FH)*(HB)

(x-2)*(x+7) = (2x-1)*(4)

x*(x+7) - 2(x+7) = 4(2x-1)

x^2+7x - 2x - 14 = 8x - 4

x^2 + 7x - 2x - 14 - 8x + 4 = 0

x^2 - 3x - 10 = 0

(x - 5)(x + 2) = 0

x-5 = 0 or x+2 = 0

x = 5 or x = -2

If x = -2, then AH = x-2 = -2-2 = -4, but having a negative segment length is not possible. Lengths must be positive. So we ignore x = -2

If x = 5, then we find the following lengths

Then note how AH*HG = 3*12 = 36 while FH*HB = 9*4 = 36. This confirms that (AH)*(HG) = (FH)*(HB) is a true equation and confirms we have the correct x value.

Answer:

factor 2 out of 26p+8q-10 2

Step-by-step explanation:

2 (13+4p-5)