A survey was given to 90 high school students. They were asked if they preferred fiction or non-fiction and if they preferred indoor or outdoor activities. Partial survey results are shown in the table.

What percent of students in the survey, to the nearest whole number, prefer outdoor activities given they prefer non-fiction?

Enter a number in the box.
P(outdoor | non−fiction)= _%

Answer:

3400

Step-by-step explanation:

1L=1000ml

½L=500ml price = 1700

2(500)=2(1700)

1000L= 3400

hence Joshua will pay R3400 for 1L of cooking oil

Answer:

x = 43°

Step-by-step explanation:

In order to find the measure of angle x we'll use Vertical Angles Theorem.

Therefore, the measure of angle x is 43° ✓.

«•••••••••••••••••»

Answer:

  k = 11  or  20

Step-by-step explanation:

The sum of terms of an arithmetic sequence is given by ...

  Sn = (a1 +an)(n/2)

We want to find the value of n for a particular series to have a particular sum.

__

The series of interest is defined by ...

  an = 48 -3n

so, the first term is ...

  a1 = 48 -3(1) = 45

The k-th term is ...

  ak = 48 -3k

__

Then the sum is ...

  Sk = (45 +(48 -3k))(k/2)

We want this value to be 330, so we have ...

  330 = (93 -3k)(k/2)

__

  220 = (31 -k)k . . . . . . . . multiply by 2/3

  k² -31k +220 = 0 . . . . . in standard form

We want factors of 220 that total 31.

  220 = (1)(220) = (2)(110) = (4)(55) = (5)(44) = (10)(22) = (11)(20)

The last of these pairs totals 31, so we have ...

  (k -11)(k -20) = 0 . . . . . factored form of the equation

  k = 11  or  k = 20 . . . . . values of k that make the factors zero

Possible values of k are 11 and 20.

Answer:

The selling price is $3,125

Step-by-step explanation:

25% of 2500 is 2500 x 0.25 = 625

You will be adding the 25% gain to cost price to find the new price

2500 + 625 = 3125

Answer:

3125

Step-by-step explanation:

from the question,

25% simply means 25/100= 0.25

25% of 2500= 0.25×2500= 625

gain= 625

selling price= 625+2500= 3125

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle = 56 km²

Find the area of each shape that make up the figure, then add up to get the area of the composite figure.

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle

Area of rectangle 1 = (length)(width) = (6)(3) = 18 km²

Area of rectangle 2 = (length)(width) = (7 + 3)(2) = 20 km²

Area of triangle = 1/2(base)(height) = 1/2(10 - 4)(6) = 18 km²

The area of the composite figure = 18 + 20 + 18 = 56 km²

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Explanation:

Perimeter of the base = 8+10+15+7+23+17 = 80 meters

The 23 is from 8+15 = 23 and it is the length along the back wall, while the 10+7 = 17 is the length along the left side wall. Both the sides of 23 and 17 are hidden from view. The height of 5 meters is not part of the perimeter of the base.

Multiply the perimeter of the base by the height of the building to find the lateral area, aka wall area.

80*5 = 400 square meters

Answer:

$803

Step-by-step explanation:

17 + 33 + 23 = 73

73 * 11 = 803

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

sin =opposite/hypotenuse

sinQ=5/6

Answer:

Option (D) is correct.

Shyla spend $30.94 on the fabrics

Step-by-step explanation:

Shyla has a box with the dimensions of 7 inches, 11 inches, 8 inches. Since it has 3 sides thus, it is form of a cuboid.

Here Length (l) = 7 inches

Breadth (b) = 11 inches

Height (h) = 8 inches

Surface area of Cuboid = 2( lb +bh + hl )

Substitute the values, we get,

Surface area of Cuboid = 2( 7 × 11 + 11× 8 + 7 × 8 )

                                       = 2( 77 +88 +56)

                                       = 422 square inches.

Given: the fabric costs 7 cents per square inch = $0.07 per square inches.

Money  Shyla spend on the fabric = total area × cost of fabric per square inch

                                                      = 442 × 0.07

                                                      = $30.94

Thus,  Shyla spend $30.94 on the fabrics.

So , Option (D) is correct.

The fractions on the number line are 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8

The range of the number line is given as:

Range = 1/8 to 7/8

Using an increment of 1/8, the fractions on the number line are:

1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8

Next, we plot the number line where the above fractions are placed on the number line

See attachment for the required number line.

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Hey mate ,

The ratio of Cylinder A to Cylinder B can be find by following steps ,

Volume of Cylinder A : Volume of Cylinder B

πr²h : πR²H

4 : 8 ( as π and radius can be cancelled because they are same on both the sides)

Ratio :- 1:2

Answer:

[tex]\sf \dfrac{1}{2}[/tex]

Step-by-step explanation:

Results from the slips of paper:

Total slips of paper = 16

[tex]\sf Proportion = \dfrac{part}{whole}[/tex]

[tex]\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

There are 16 responses

There are 8 people who said yes

P( happy) = yes/  total

P(happy) = 8/16 = 1/2

Answer:

1744.4

First, remove 13

13 and use length times width times height to get the surface area. 14 x 14 x 8.9

The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We know:

[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]

We have MOE = 0.05, p = 46% = 0.46,

q = 1-p = 1-0.46 = 0.54

Z at 0.02(because 98% level of confidence) = 2.33

Plug this value in the formula we get:

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]

After solving:

n = 539.41 ≈ 540

If no estimate is given:

p = 0.5 and q = 0.5

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]

n = 542.89 ≈ 543

Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

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Step-by-step explanation:

To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?

L=length=15.5 ft; W=width; A=area=>217 sq ft

L*W=>217 sq ft Divide each side by L

W=>217 sq ft/L

W=>217 sq ft/15.5 ft=>14 feet

ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.

Answer:

  at least 14 ft

Step-by-step explanation:

The area of the rectangular region is the product of its length and width. We are told the area must be at least some value.

  A = LW . . . . . . . . . area formula

  A ≥ 217 ft² . . . . . . . . . given constraint

  (15.5 ft)W ≥ 217 ft² . . . . . . substitute LW for A, use given length

  W ≥ 14 ft . . . . . . . . . . divide by 15.5 ft

The possible width of the region is at least 14 feet.

Using the z-distribution, it is found that the 95% confidence interval is given by:

[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Hence, the interval is:

[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]

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The area of the composite figure in the given diagram is calculated as: 152 square inches.

The area of a composite figure is gotten by decomposing the figure into known shapes and finding the area of each of the shapes.

The area of the figure = area of bigger rectangle + area of smaller rectangle = lw + lw

The area of the figure = (20)(6) + (8)(4)

The area of the figure = 152 in.²

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Use the general formula for decay substance

[tex]\\ \rm\Rrightarrow N=N_o(1-r)^t[/tex]

For our equation r=62%=0.62

So

function becomes

[tex]\\ \rm\Rrightarrow N=650(1-0.62)^t[/tex]

[tex]\\ \rm\Rrightarrow N=650(0.38)^t[/tex]

Change for a year

[tex]\\ \rm\Rrightarrow N=650(0.38)[/tex]

[tex]\\ \rm\Rrightarrow N=247g[/tex]

Amount decayed=650-247=403g

Daily decay

Percentage decay

[tex]\\ \rm\Rrightarrow \dfrac{1.1}{650}\times 100[/tex]

[tex]\\ \rm\Rrightarrow 0.169[/tex]

[tex]\\ \rm\Rrightarrow 16.9\%[/tex]

The equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out will be:

 |C-78|=2.5

From the question, we have to determine the equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out.

Mathematically, it means:

|C-78|=2.5

Hene, the reqired equation will be  :|C-78|=2.5

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Total balls: 6 + 4 + 3 = 13

First pick green = total green / total balls = 4/13

adter picking the first ball there are 12 balls left.

Picking red = total red/ total balls left = 6/12 = 1/2

probability of picking both = 4/13 x 1/2 = 4/26 = 2/13

answer: 2/13

Answer:

8

Step-by-step explanation:

The given monomial is :

The degree of the monomial is the highest power to which a variable is raised to in the monomial. The greatest power in this case belongs to b⁸, which has a power of 8.

Hence, the degree of the monomial is 8

Answer:

The value of x = 22/3

Step-by-step explanation:

x + 5 - 1/3 = 12

=> x+5 = 12 + 1/3

=> x + 5 = (36 + 1) /3

=> x + 5 = 37 /3

=> (x+5) 3 = 37

=> 3x + 15 = 37

=> 3x = 37 -15

=> 3x = 22

=> x = 22/3

Answer to your question is given in the attachment

Hope this Helps :)

Answer:

slope = 2

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given equation:

[tex]3x + 6y = -54[/tex]

Rearrange the given equation to make y the subject:

[tex]\implies 6y=-3x=-54[/tex]

[tex]\implies y=-\dfrac{1}{2}x-9[/tex]

Therefore, the slope of the given equation is [tex]-\dfrac{1}{2}[/tex].

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope (m) of the line perpendicular to the given equation is:

[tex]\implies -\dfrac{1}{2} \cdot m=-1[/tex]

[tex]\implies m=-1 \div -\dfrac{1}{2}[/tex]

[tex]\implies m=-1 \cdot-2[/tex]

[tex]\implies m=2[/tex]

Answer: 21 is b. 22 is c

Step-by-step explanation: do u need explanation.. because the questions are multiple choice???

Answer:

y = (3/4)x-9/2

Step-by-step explanation:

We've got two points, (-2, -6) and (2, -3). That's more than enough info to construct a line. The slope of the line is the ratio between the change in y (Δy) and the change in x (Δx). Here, Δy = -3 - (-6) = -3 +6 = 3, and Δx = 2 - (-2) = 2 + 2 = 4, so the slope is Δy/Δx = 3/4. From here, we can use the point-slope form of a line to get a general equation. With the slope m = 3/4 and choosing the point (2, -3), we have

[tex]y-y_1=m(x-x_1)\\y-(-3)=(3/4)(x-2)\\y+3=(3/4)x-3/2\\y=(3/4)x-3/2-3\\y=(3/4)x-3/2-6/2\\y=(3/4)x-9/2[/tex]

Answer:

1,064dm^2

Step-by-step explanation:

The formula for Area

—> A = lw

Plug our units into the formula

A = 38(28)

A= 1064dm^2

Answer:

$160

Step-by-step explanation:

the difference between May 21, 2022 -- October 1, 2022 = 133 days. since u only get money every 8 days divide 133 by 8 and round down.

[tex]133/8=16.625[/tex]

[tex]\approx16[/tex]

multiply 16 by $10 to get $160

Answer:

in 7hours and 30 mn the cost will be (7.5×d×e) cents

Step-by-step explanation:

[tex]\begin{matrix}\text{Time} &1h&7.5h\\ \text{number of dolls} &d&7.5\\ \text{Cost} &d\times e&7.5\times d\times e\end{matrix}[/tex]

Answer:

(c) 112 ft/sec

Step-by-step explanation:

4 = 112.33 ft/sec = 112 ft/sec

The true correct statements about the box-and-whiskers plot are:

In a box-and-whiskers plot, the interquartile range (IQR) is a measure of the spread of the data which shows the variability of the data.

Median of a data is the value at the point where the vertical line divides the rectangular box.

Median for Group A is between: 45 and 50

Median time for Group B is: 40.

Therefore, the three statements are:

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