g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha is one of the leaders

Answer:

Step-by-step explanation:

Find zero's:

The intervals:

As we see correct choices are b and d

Answer:

-9p -4q + 69

Step-by-step explanation:

5p +4q + (-9p +69)

=> 5p + 4q -9p +69

=> -4p +4q +69

Now, we need to subtract 5p +8q from -4p + 4q +69

=> -4p +4q +69 - (5p +8q)

=> -4p + 4q +69 - 5p -8q

=> -9p -4q + 69

Answer:

gold price : $58.72/gram

$58,720 per kilo(1000) grams

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios here.

To find FV we use cosine

cos∅ = adjacent / hypotenuse

From the question

FV is the hypotenuse

TV is the adjacent

So we have

cos 43 = TV/FV

FV = TV/ cos 43

TV =53

FV = 53/ cos 43

FV = 72.4683

We have the final answer as

Hope this helps you

Answer:

FV=72.47

Step-by-step explanation:

cos43=adj/hyp.=VT/FV

cos43=53/FV

FV=53/cos43

FV=72.46835= 72.47 rounded to the nearest hundredth

Answer:

The 99%  confidence interval is  [tex]97.94 < \mu < 98.26[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  110

     The  sample mean is  [tex]\= x = 98.1 \ F[/tex]

       The standard deviation is  [tex]\sigma = 0.64 \ F[/tex]

Given that the confidence level is  99% the level of significance i mathematically evaluated as

                  [tex]\alpha = 100 - 99[/tex]

                  [tex]\alpha = 1\%[/tex]

                  [tex]\alpha = 0.01[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution, the values is  

          [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58[/tex]

Generally the margin of error is mathematically represented as

           [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]

substituting values

          [tex]E = 2.58 * \frac{ 0.64}{\sqrt{110} }[/tex]

          [tex]E = 0.1574[/tex]

Generally the  99% confidence interval  is mathematically represented as

               [tex]\= x - E < \mu < \= x + E[/tex]

substituting values

             [tex]98.1 - 0.1574 < \mu < 98.1 + 0.1574[/tex]

             [tex]97.94 < \mu < 98.26[/tex]

Answer:

Step-by-step explanation:

Step-by-step explanation:

KI=yf/p+n + yr/u

(p+n) KI - yrp/u -yrn/u = yf

pKI - yrp/u = yf - nKI + yrn/u

p(KI - yr/u) = yf - nKI + yrn/u

p = (1/KI-yr/u)(yf-nKI+yrn/u)

Answer:

x1 = -4

x2 = 6

Step-by-step explanation:

The 2 vertical lines are "absolute values" meaning whatever they contain has to be positive

For Example

|-3| = 3

So we can ignore if the answer we get is positive or negative because it will forced to be a positive

|3 x 4| = 12

|x - 2| = 4

x1 = 6

x2 = -2

Answer:

  7

Step-by-step explanation:

The two angles created by the angle bisector are the same measure, so we have ...

  2x +y = 14 +y

  2x = 14 . . . . . . . subtract y

  x = 7 . . . . . . . . . divide by 2

Answer:

The real reason of post test is to measure it's result in comparison to a pre test and determine d how much student has progressed over a term of instruction.

Answer:

11 cosecx is right answer.........

Answer:

A = 70 mm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 10, b₁ = 10, b₂ = 4 , then

A = [tex]\frac{1}{2}[/tex] × 10 × (10 + 4) = 5 × 14 = 70 mm²

Answer: x = 6

Concept:

From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.  

In geometry, an isosceles triangle is a triangle that has two sides of equal length.  

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

Given information

One side = 6

Second side = x

Given expression deducted from the definition of an isosceles triangle

Second side = First side

Substitute values into the expression

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

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex] Area = 240 m^2 [/tex]

Step-by-step explanation:

The area of the right triangle above = [tex] \frac{1}{2}*base*height [/tex].

Where,

base = 16 m

height = 30 m

Plug in the above values into the area formula:

[tex] Area = \frac{1}{2}*16*30 [/tex]

[tex] Area = 8*30 [/tex]

[tex] Area = 240 m^2 [/tex]

Refer to the attachment for solution.

Step-by-step explanation:

Any number that can be divided by 2 without having remainder is considered an even number.

I hope it helped U

stay safe stay happy

Complete question :

The development of AstroWorld ("The Amusement Park of the Future") on the outskirts of a city will increase the city's population at the rate given below in people/year t yr after the start of construction. 5,700√t + 11,000 The population before construction is 67,000. Determine the projected population 16 yr after the construction of the park has begun. people

Answer:

486,200

Step-by-step explanation:

Given that the rate of change in population is represented by the function:

f(t) = 5,700√t + 11,000

To get the original function, we take the integral of the rate function because the rate of change is obtained by taking the derivate of the original equation

f(t) = 5,700t^1/2 + 11,000

Taking the integral of f with respect to t:

∫(5,700t^1/2 + 11,000)

[5700t^(1/2 + 1)] / (1/2 + 1) + 11000t + C

[(5700t^3/2)/ 3/2] + 11000t + C

Where C = constant

If population before construction = 67000

Then C = 67000

t = time = 16 years

Substitute values into the original change equation:

[(5700(16)^3/2)/ 3/2] + 11000t + 67000

[(5700 * 64) / 1.5] + 11000(16) + 67000

243200 + 176000 + 67000

= 486,200

Answer:

( y-5) ^2 =-12(x-2)

Step-by-step explanation:

focus at (2,2) and a directrix of x=8

Using the equation

( y-k) ^2 = 4p(x-k)

where ( h,k) is the vertex

The vertex is 1/2 way between the focus and the directrix

( 2+8)/2 , 2

5,2 is the vertex

( y-5) ^2 = 4p(x-2)

distance from the focus to the vertex and from the vertex to the directrix is  

| p|

2-5 = p

-3 = p

( y-5) ^2 = 4*-3(x-2)

( y-5) ^2 =-12(x-2)

Answer:

Step-by-step explanation:

slope of line perpendicular to y=mx+c is -1/m

so here reqd. slope=-1/4

Step-by-step explanation:

Hi, there!!!

Let's simply work with it,

Here,

tax=$1.54

rate of tax= 5.5%

now, let the original price be x.

so, 5.5% of x= $1.54 { tax amount = tax% of original price}.

or, 5.5/100 × x= $1.54

or, 5.5x = $1.54×100

or, x= $28.

Therefore, the original price was $28.

Hope it helps...

Answer is in a box.

The bag contains 6 red marbles, 8 blue marbles and 9 green marbles, that is 23 marbles.

The probability that one of the 23 marbles will be picked is 1 or 100%, we are picking a marble for sure.

So what is the probability you will pick for example one of the 6 red marbles? It is 6 out of 23 but since we need percentages multiply by 100,

[tex]\frac{6}{23}\cdot100\approx26.09\%[/tex]

The probability to pick a blue marble is,

[tex]\boxed{\frac{8}{23}}\cdot100\approx34.78\%[/tex]

And the probability to pick a green marble is,

[tex]\frac{9}{23}\cdot100\approx39.13\%[/tex]

To check that everything is right you can sum all the probabilities; the probability that it will be either red, blue or green is 100% so the individual probabilities must sum to 100%, and they do,

[tex]26.09\%+34.78\%+39.13\%=100\%[/tex]

Hope this helps :)

Answer:

B. z Subscript alpha divided by 2 zα/2 = 1.96.

Step-by-step explanation:

We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn​ girls:

n = 236​, [tex]\bar x[/tex] = 30.3 ​hg, s = 7.2 hg. The confidence level is 95​%.

As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.

It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.

Here, [tex]\alpha[/tex] = level of significance = 1 - 0.95 = 0.05 or 5%

         [tex]\frac{\alpha}{2}=\frac{0.05}{2}[/tex] = 0.025 or 2.5%

So, the value of [tex]Z_(_\frac{\alpha}{2} _)[/tex] in the z table is given as 1.96 with a 2.5% level of significance.

Answer:

37675

Step-by-step explanation:

ummm what is did was

274/2 = 137

and then times that by 275

because

274+1 = 275

273+2 = 275

...

137+137 = 275

so the ans is 137(275) which is equal to 37675

Answer:

[tex]\bold{3\dfrac{1}{2 }}[/tex] full glasses of water the bowl holds.

Step-by-step explanation:

Full glass of water holds [tex]1\frac{1}{3}[/tex] cups of water.

Full bowl of water holds [tex]4\frac{2}{3}[/tex] cups of water.

To find:

How many full glasses of water does the bowl hold ?

Solution:

Let us convert the unit of cups of water to glass of water.

Given that

[tex]1\frac{1}{3}[/tex] or [tex]\frac{4}{3}[/tex] cups of water is equivalent to 1 full glass of water

Now, let us use unitary method to find the answer.

[tex]\frac{4}{3}[/tex] cups of water is equivalent to 1 full glass of water

1 cups of water is equivalent to [tex]\frac{3}{4}[/tex] full glass of water

[tex]4\frac{2}{3}[/tex] or [tex]\frac{14}{4}[/tex] cups of water is equivalent to [tex]\frac{3}{4}\times \frac{14}3 = \frac{14}{4}[/tex] full glass of water

[tex]\dfrac{14}{4} = \dfrac{7}{2} = \bold{3\dfrac{1}{2}}[/tex] full glass of water is the quantity the bowl holds.

Answer:

Sin A=0.6

Tan B = 1.3333

Cos C= 0.9231

Cos C= 0.3846

Step-by-step explanation:

For sin A

Sin A= opposite/hypotenuse

Sin A= 3/5

Sin A=0.6

For Tan B

Tan B = opposite/adjacent

Tan B = 4/3

Tan B = 1.3333

For cos C

Cos C = adjacent/hypotenuse

Cos C= 12/13

Cos C= 0.9231

For Cos D

Cos D= adjacent/hypotenuse

Cos C = 5/13

Cos C= 0.3846

Answer:

0.03

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

2^x [(x+1)³ -1] = 2^x - (x+1)³ + 1

Lep p = 2^x, and q = (x+1)³ - 1

Then the original equation becomes

pq = p - q

p - q - pq = 0

p(1 - q) - q = 0

p = q/(1 - q)

2^x = [(x+1)³ - 1]/[-(x+1)³]

2^x = [1 - (x+1)³]/[(x+1)³]

2^x = (x+1)^(-3) - 1

Answer:

Step-by-step explanation:

Hello, by definition a perfect square can be written as [tex]a^2[/tex] where a in a positive integer.

So, to answer the first question, [tex]6^2[/tex] is a perfect square.

(a,b,c) is a Pythagorean triple means the following

[tex]a^2+b^2=c^2[/tex]

Here, it means that

[tex]x^2=20^2+21^2=841=29^2 \ \ \ so\\\\x=29[/tex]

Thank you.

Answer:

Its B

Step-by-step explanation:

Answer:

y = $1.542 per lb

Step-by-step explanation:

given data

mixed-nut blend store cost  2005 = $1.35 per lb

blend cost in 2010 = $1.83 per lb

solution

we consider here y = cost of a pound

and x year = after 2005

we will use here linear equation model

so

[tex]\frac{y - 1.35}{1.83-1.35} = \frac{x-10}{5 - 0}[/tex]    .........................1

solve it we get

5y - 6.75 = .48 x

so

at 2007 year here x wil be 2

so

[tex]y = \frac{0.48 \times 2 + 6.75}{5}[/tex]  

solve it we get

y = $1.542 per lb

Answer:

[tex]P'(x)=2.2-0.12x[/tex]

Step-by-step explanation:

start by finding [tex]P(x) = R(x)-C(x)[/tex]

[tex]P(x)=3x-0.06x^2-286-0.8x[/tex]

to find P'(x), you take the derivative of P(x)

[tex]P'(x)=\frac{d}{dx} (2.2x-286-0.06x^2)[/tex]

[tex]\frac{d}{dx} (2.2x-286-0.06x^2)=2.2-0.12x[/tex]

so [tex]P'(x)=2.2-0.12x[/tex]

Step-by-step explanation:

To solve for x, we set up our equation like this:

7x - 7 = 4x + 14

Next, we subtract 4x from the right side to cancel it out and then subtract 4x from the left side.

7x (-4x) - 7 = 4x (-4x) + 14

3x - 7 = 14

Then, we add 7 on both sides (to cancel the -7 out and place it on the right)

3x - 7 (+7) = 14 + 7

3x = 21

Finally, we divide both sides by 3 to isolate our variable, x.

3x ÷ 3 = x

21 ÷ 3 = 7

Our final answer: x = 7

Answer:

no entiendo inglés........,

Hi,

Answer:

Tachycardia is a fast heart rate