csc(π/2) =__
a.0
b.-1
c.1
d.undefined​

Answer:

The correct answer is the last one

Step-by-step explanation:

Answer:

b=2

Step-by-step explanation:

Answer:

Answer is 3bu2(DeEZ)=1

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

f o h

f(x) = -3x -8

h(x) = [tex]\frac{x+8}{-3}[/tex]

foh = [tex]-3(\frac{x+8}{-3} )[/tex] -8  = x+8 -8 = x

foh(-32) = -32

Answer:

[tex]P(x=4) = 0.200[/tex]

Step-by-step explanation:

Given

[tex]n=10[/tex] --- selected customers

[tex]x = 4[/tex] --- those that are expected to use the restroom

[tex]p =30\% = 0.30[/tex] --- proportion that uses the restroom

Required

[tex]P(x = 4)[/tex]

The question illustrates binomial probability and the formula is:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]

So, we have:

[tex]P(x=4) = ^{10}C_4 * (0.30)^4 * (1 - 0.30)^{10 - 4}[/tex]

[tex]P(x=4) = ^{10}C_4 * (0.30)^4 * (0.70)^6[/tex]

[tex]P(x=4) = 210* (0.30)^4 * (0.70)^6[/tex]

[tex]P(x=4) = 0.200[/tex]

Answer:

71 feet

Step-by-step explanation:

94×2=188

330-188=142

142÷2=71

Answer:

300

Step-by-step explanation:

[tex] \frac{1.5}{100} = 20000 \\ 20000 \div 100 = 200 \\ 200 \times 1.5 = 300[/tex]

if A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression then 300 people clicked on the banner ad

percentage, a relative value indicating hundredth parts of any quantity.

A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression.

We need to find how many people clicked on the banner ad.

Let us find the value of  1.5%  of 20000

Convert 1.5 % to decimal

1.5/100=0.015

Now multiply 0.015 with 20000

0.015×20000

300

Hence, if A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression then 300 people clicked on the banner ad

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Answer:

Speed of the river = [tex]\frac{4}{3}[/tex] km per hour

Step-by-step explanation:

Speed of the boat in still water = 4 km per hour

Let the speed of the river = v km per hour

Speed of the boat upstream = (4 - v) km per hour

Time taken to cover 6 km = [tex]\frac{\text{Distance}}{\text{Speed}}[/tex]

                                           = [tex]\frac{6}{4-v}[/tex] hours

Speed of the boat downstream = (4 + v) km per hour

Time taken to cover 12 km = [tex]\frac{12}{4+v}[/tex] hours

Since, time taken by the boat in both the cases is same,

[tex]\frac{6}{4-v}= \frac{12}{4+v}[/tex]

6(4 + v) = 12(4 - v)

24 + 6v = 48 - 12v

12v + 6v = 48 - 24

18v = 24

v = [tex]\frac{24}{18}[/tex]

v = [tex]\frac{4}{3}[/tex] km per hour

Answer: 1, 4

Step-by-step explanation:

[tex]\frac{1}{4} x+x=5\\\\\frac{1}{4} x+\frac{4}{4} x=5\\\\\frac{5}{4} x=5\\\\5x=4*5\\5x=20\\x=4[/tex]

The answer is 36 degrees

Step 1

Angle GEH=180-2x (angles on a a straight line are supplementary)

Step 2

4x= G^+GE^H(sum of exterior angle)

4x=x+(180-2x)

4x=180-x

4x+x=180

5x=180

x=36 degrees

Answer:

B. [tex] y + 5 = 2(x + 2) [/tex]

Step-by-step explanation:

Point-slope equation is given as [tex] y - b = m(x - a) [/tex], where,

(a, b) = (-2, -5)

[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Using two points on the line (-2, -5) and (0, -1),

Slope (m) = (-1 -(-5))/(0 -(-2)) = 4/2

m = 2

✔️To write the equation in point-slope form, substitute a = -2, b = -5, and m = 2 into [tex] y - b = m(x - a) [/tex]

Thus:

[tex] y - (-5) = 2(x - (-2)) [/tex]

[tex] y + 5 = 2(x + 2) [/tex]

Answer:

6x^2 - 3x

[tex]6x^2-3x[/tex]

Step-by-step explanation:

3x (2x-1)

multiply 3x by 2x -> 6x^2

multiply 3x by -1 -> -3x

Answer:

The answer is [tex]6x^{2} -3x[/tex].

Step-by-step explanation:

To solve for the answer, start by using the distributive property. The distributive property is a property of multiplication used in addition and subtraction and states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.

The distributive property for this problem will look like [tex](3x*2x)+(3x*-1)[/tex], and when the problem is simplified, it will look like [tex]6x^{2} -3x[/tex]. The final answer is [tex]6x^{2} -3x[/tex].

Answer:

The total distance Allie traveled was 0.81 miles.

Step-by-step explanation:

Since Allie rode her bike up a hill at an average speed of 12 feet / second, and she then rode back down the hill at an average speed of 60 feet / second, and the entire trip took her 2 minutes, to determine what is the total distance she traveled, the following calculation must be performed:

12 + 60 = 72

72 x 60 = 4320

1000 feet = 0.189394 miles

4320 feet = 0.8181818 miles

Therefore, the total distance Allie traveled was 0.81 miles.

Answer:

98% confidence interval for the population mean =(1095.260,1288.740)

Step-by-step explanation:

We are given that

n=45

[tex]\mu=1192[/tex]

Standard deviation,[tex]\sigma=279[/tex]

We have to construct a 98% confidence interval for the population mean.

Critical value of z at 98% confidence, Z =2.326

Confidence interval is given by

[tex](\mu\pm Z\frac{\sigma}{\sqrt{n}})[/tex]

Using the formula

98% confidence interval is given by

[tex]=(1192\pm 2.326\times \frac{279}{\sqrt{45}})[/tex]

[tex]=(1192\pm 96.740)[/tex]

=[tex](1192-96.740,1192+96.740)[/tex]

=[tex](1095.260,1288.740)[/tex]

Hence, 98% confidence interval for the population mean (1095.260,1288.740)

Answer:

The answer should be (7, 5)

Answer:

answer

x = -13/ 15, 0

Step-by-step explanation:

15x^2 + 13 x = 0

or, x(15x + 13) = 0

either, x = 0

or, 15x + 13 = 0

x = -13/15

Answer:

The answer should be C...............

imma sorry if I'm wrong

Answer:

A. 754 cm²

Step-by-step explanation:

Amount of cardboard needed = surface area of the cone

Curved surface area of the cone = πrl

Where,

π = 3.14

r = ½(20) = 10 cm

l = 24 cm

Plug in the values into the formula

Curved surface area = 3.14 × 10 × 24 = 753.6 ≈ 754 cm²

Step-by-step explanation:

[tex]\dfrac{dy}{dx} = \dfrac{2x}{y(x^2 + 1)}[/tex]

Rearranging the terms, we get

[tex]ydy = \dfrac{2xdx}{x^2 + 1}[/tex]

We then integrate the expression above to get

[tex]\displaystyle \int ydy = \int \dfrac{2xdx}{x^2 + 1}[/tex]

[tex]\displaystyle \frac{1}{2}y^2 = \ln |x^2 +1| + k[/tex]

or

[tex]y = \sqrt{2\ln |x^2 + 1|} + k[/tex]

where I is the constant of integration.

Hi there!

[tex]\large\boxed{40x^{6}}[/tex]

Begin by simplifying (2x²)²

2² · (x²)² <-- Power rule for exponents, multiply them together:

4 · x⁴ = 4x⁴

Multiply by 10x². ADD exponents when multiplying.

10x² · 4x⁴ = 40 · x²⁺⁴

40x⁶

Answer:

Volume of triangular pyramid = 36 inch³

Step-by-step explanation:

Given:

Sides of base triangle = 3, 4, 5 inches

Height of model = 18 inches

Find:

Volume of triangular pyramid

Computation:

Given base triangle is a right angle triangle

So,

Area of base = (1/2)(b)(h)

Area of base = (1/2)(3)(4)

Area of base = (1/2))(12)

Area of base = 6 inch²

Volume of triangular pyramid = (1/3)(Area of base)(Height of model)

Volume of triangular pyramid = (1/3)(6)(18)

Volume of triangular pyramid = 36 inch³

Answer:

(x, y) = (-34,-19)

Step-by-step explanation:

...................................................

Answer:

14 inches

Step-by-step explanation:

Since F is inversely proportional to L,

[tex]f = \frac{k}{l} \\ when \: f = 40 \: l \: = 7 \\ \frac{k}{7} = 40 \\ k = 280 \\ when \: f = 20 \\ 20 = \frac{280}{l} \\ l = 14[/tex]

Step-by-step explanation:

a the rate of changes = (185-146)/30

= 1.3° /minutes.

after 45 minutes = 1.3 ×45 = 58.5°

so, the temperature = 185 - 58.5

= 126.50°F

b. the time to reach 100°F =

(185-100)/ (1.3)

= 85/(1.3) = 65.38

after 65.38 minutes

Answer:

Step-by-step explanation:

a.) it's just mean, variance

so here it's just 12,6.25

b.) For the x bar thing just divide the variance by the number of people (mean stay the same)

the variance is then (2.5²/34)= .1838

which makes it (12,.1838)

c.) here we don't use x bar (and so it's normal (12,2.5²))

p(11.6) = (11.6-12)/(2.5)= -.16 = .4364

p(12.4)= (12.4-12)/2.5 = .16= .5636

.5636-.4364= .1272

d.) here we use x bar because it's asking for an average so it's normal (12, .1838)

same deal

p(11.6)=(11.6-12)/√.1838= -.93295= .1762

p(12.4)= (12.4-12)/√.1838= .93295= .8238

.8238-.1762= .6476

d.) no because they're probably IID

f.) It's average so here we use x bar

q1 is just the 25th percentile

the 25th percentile is -.6745

-.6745=(x-12)/(√.1838)= 11.711

q3 is the 75th percentile

.6745=(x-12)/√.1838

x=12.289

The interquartile range is just the difference between the two

12.289-11.711= .5784

Answer:

x=22.5

Step-by-step explanation:

We are given the proportion:

5/x=2/9

Cross multiply. Multiply the numerator (top number) of the first fraction by the denominator (bottom number) of the second. Then multiply the denominator of the first by the numerator of the second.

5*9=2*x

45=2x

2 and x are being multiplied. The opposite of multiplication is division. Divide both sides by 2. This will cancel out the 2 being multiplied by x, and leave x by itself.

45/2=2x/2

45/2=x

22.5=x

If we substitute 22.5 in for x, the final proportion will be:

5/22.5=2/9

Answer:

The mean is to the right of the median

Step-by-step explanation:

Given

Skewed right distribution

Required

Relationship between the mean and the median

The question would be better answered if there are options available. Since there are none, I will provide a general answer/explanation.

For a distribution that is right skewed, the mean is always on the right side of the median.

Answer:

A

=

w

l

d

=

w

2

+

l

2

Solving for

d

d

=

l

2

+

(

A

l

)

2

=

11

2

+

(

110

11

)

2

≈

14.86607

The length of the diagonal of the rectangle is 14.9 units.

A diagonal is the longest line that divides a plane shape into two halves.

To calculate the diagonal of the rectangle, we use Pythagoras theorem.

Formula:

Where:

make w the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Finally, to calculate the diagonal of the rectangle, we use the formula below

Given:

Substitute these values into equation 3

Hence, the length of the diagonal of the rectangle is 14.9 units.

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Answer:

0 is the answer assuming the whole thing is a fraction where the numerator is f(a+h)-f(a) and the denominator is h.

Step-by-step explanation:

If the expression for f is really a constant, then the difference quotient will lead to an answer of 0.

If the extra for f is linear (including constant expressions), the difference quotient will be the slope of the expression.

However, let's go about it long way for fun.

If f(x)=5, then f(a)=5.

If f(x)=5, then f(a+h)=5.

If f(a)=5 and f(a+h)=5, then f(a+h)-f(a)=0.

If f(a+h)-f(a)=0, then [f(a+h)-f(a)]/h=0/h=0.

Answer:

[tex]F = 39.47[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- observations

[tex]p = 1[/tex] -- variables

[tex]SSR = 1,297[/tex]

[tex]SSE= 920[/tex]

Required

The F statistic

This is calculated using:

[tex]F = \frac{SSR}{p} \div \frac{SSE}{n - p -1}[/tex]

[tex]F = \frac{1297}{1} \div \frac{920}{30 - 1 -1}[/tex]

[tex]F = \frac{1297}{1} \div \frac{920}{28}[/tex]

[tex]F = 1297 \div \frac{920}{28}[/tex]

Rewrite as:

[tex]F = 1297 * \frac{28}{920}[/tex]

[tex]F = \frac{1297 *28}{920}[/tex]

[tex]F = \frac{36316}{920}[/tex]

[tex]F = 39.47[/tex]