(07.01 MC)
The picture shows a triangular island:
Island
Z
O x sin 50°
O
Which expression shows the value of z? (1 point)
cos 50°
O x cos 50°
O
sin 50°
y
50

The confidence interval is (-1.1059, 7.70459).

Image result for what is confidence interval

A confidence interval is the mean of your estimate plus and minus the variation in that estimate.

The sample mean is M=3.3

The sample size is N=44

So, σM= s/√N = 16.6/ √44

= 16.6/ 6.633

= 2.621

and, the degree of freedom

df= n-1

=44-1

=43

So, The t-value for a 90% confidence interval and 43 degrees of freedom is t=1.681.

Now, Margin of error = 2.261* 1.681 = 4.4059

Now, the lower and upper bound of the confidence interval are:

LL = 3.3- 4.40459 = -1.1059

UL = 3.3+ 4.40459 = 7.70459

Hence, the confidence interval is  (-1.1059, 7.70459).

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Answer:

I think it would be D the last answer on the page I am pretty confident in the answer but if for some reason it's wrong then I'm sorry.

Step-by-step explanation:

Resolviendo una ecuación lineal veremos que que Manuel tiene 36 años.

Vamos a definir la edad de Manuel como x.

Sabemos que la mitad mas el tercio mas la cuarta parte de x es igual que x más 3, entonces:

x/2 + x/3 + x/4 = x + 3

Ahora podemos resolver esta ecuación lineal para x:

x/2 + x/3 + x/4 - x = 3

x*( 1/2 + 1/3 + 1/4 - 1) = 3

x = 3/(1/2 + 1/3 + 1/4 - 1) = 36

Así, concluimos que manuel tiene 36 años.

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Answer:534360

Step-by-step explanation:

I did have to remove the multiplication though

Answer:

C. Vertex (1;-25)

F. x-intercepts: (-4;0), (6;0).

Step-by-step explanation:

1) x-coordinate of the vertex: -b/2a=1; y-coordinate of the vertex: -25;

2) for x-intercepts it needed to solve the equation x²-2x-24=0;

x=6;-4;

3) finally, correct answers are: C. Vertex (1;-25) and F. x-intercepts: (-4;0), (6;0).

The perimeter of the original rectangle is 17.6mm. The side length of the enlarged rectangle is 23.22mm and the perimeter of the enlarged rectangle is 95.04mm

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l +w)

If the smaller rectangle has a length of 4.3 millimeters and width of 4.5 millimeters while a larger rectangle has a length of x millimeters and width of 24.3 millimeters, then;

4.3/x = 4.5/24.3

Cross multiply

4.5x = 104.49

x = 23.22mm

Perimeter of original rectangle = 2(4.3 + 4.5)

Perimeter of original rectangle = 17.6mm

Perimeter of enlarged rectangle = 2(23.22 + 24.3)

Perimeter of enlarged rectangle = 95.04mm

The perimeter of the original rectangle is 17.6mm. The side length of the enlarged rectangle is 23.22mm and the perimeter of the enlarged rectangle is 95.04mm

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Answer:

17.6mm, 23.22mm, 95.04mm

Step-by-step explanation:

Step-by-step explanation:

[tex] \sec( \alpha ) - \cos( \alpha ) [/tex]

[tex] \frac{1}{ \cos( \alpha ) } - \cos( \alpha ) [/tex]

[tex] \frac{1}{ \cos( \alpha ) } - \frac{ \cos {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]

[tex] \frac{ \sin {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]

[tex] \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \times \frac{ \sin( \alpha ) }{1} [/tex]

[tex] \tan( \alpha ) \sin( \alpha ) [/tex]

4 is the option

Answer:

Quadratic polynomial (Biggest power is 2). It's also a trinomial (3 unlike terms)

Answer:

(0, 22)

Step-by-step explanation:

So you have the equation:

[tex]y-1=-7(x-3)[/tex]

So first let's define what the "y-intercept" is. The y-intercept, of a line is like the name implies, when the line intercepts or "passes" the y-axis. And if you were to take any point on the y-axis, the y-value may vary, but there is one value that doesn't change, and that's the x-value. the x-value is always going to be zero, no matter where you are on the y-axis. So to find the y-intercept simple plug 0 in as x. This gives you the equation:

[tex]y-1 = -7(0-3)[/tex]

[tex]y-1 = -7(-3)[/tex]

[tex]y-1=21[/tex]

[tex]y=22[/tex]

So the y-intercept is at (0, 22)

Answer: B. Reciprocal

Step-by-step explanation:

This is a fact.

The parent function represented by f(x) = -1/x is the reciprocal function.

Therefore, the correct answer is option B.

Reciprocal functions, also known as rational functions, are defined by an algebraic expression where the dependent variable is in the denominator. In this case, the dependent variable is x, and it appears in the denominator as 1/x.

The negative sign in front of the fraction simply indicates that the function is reflected over the x-axis.

The general form of a reciprocal function is f(x) = a/x, where "a" is a constant. In the given function f(x) = -1/x, a is equal to -1.

In the case of f(x) = -1/x, the graph of the function is a hyperbola that opens downwards in the first and third quadrants. It approaches the x-axis as x moves towards positive or negative infinity, and it moves away from the x-axis as x approaches 0.

Therefore, the correct answer is option B, the reciprocal function.

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Answer: 3

8x+10=34

sub 10

8x=24 divide by 8

x=3

Step-by-step explanation:

Answer:

-3 13/20

Step-by-step explanation:

-3.65=

-3 65/100=

-3 13/20

Answer:

18 and 6

Step-by-step explanation:

18+6=24

18/6=3

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The rate at 14% and 5% are $12, 883 and $2191 respectively.

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = [tex]15, 074 - y[/tex]

Substitute in equation 2

[tex]0. 14(15, 074 - y) = 0. 05y + $1694. 07[/tex]

Expand the expression

[tex]2, 110. 36 - 0. 14y = 0.05y + 1694. 07[/tex]

Collect like terms

[tex]416. 29 = 0. 19y[/tex]

Make 'y' the subject

y = [tex]\frac{416. 29}{0. 19}[/tex]

y = [tex]$2, 191[/tex]

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = [tex]$15, 074 - 2191[/tex]

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

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The number of 1’s among the draws will be 155.

Binomial distributions consist of n independent Bernoulli trials.

The expected value is given as

E(X) = np

465 draws will be made at random with replacement from the box [0 0 1].

The number of 1’s among the draws will be

p = 1/3

n = 465

Then the expected value is given as

E(x) = 465 × 1/3

E(x) = 155

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Answer:

1 day

Step-by-step explanation:

since 7 spider =7 days

1 spider =? day

cross multiply

7 days × 1 spider = 7 spider × ? days

7 spider = 7 spider × ? days

7 spider 7 spider

= 1 days

Answer: [tex]80\pi[/tex]

Step-by-step explanation:

- the equation for the surface area of a cylinder is [tex]A=2\pi rh+2\pi r^{2}[/tex]

- the equation for this cylinder will be [tex]A=2\pi (4)(6)+2\pi (4^{2})\\[/tex]

- so, [tex]2\pi (4)(6) = 150.7964474[/tex] and [tex]2\pi (4^{2})\\ = 150.7964474[/tex]

- then [tex]150.7964474 + 150.7964474= 251.3274123[/tex]

- finally, [tex]251.3274123/\pi = 80[/tex]

- so the answer in terms of [tex]\pi[/tex] is [tex]80\pi[/tex]

hope this helps :)

Answer:

5 and 9

Step-by-step explanation:

Answer:b

Step-by-step explanation: took the test

Answer:

[tex]a=27, b=81[/tex]

Step-by-step explanation:

Plug in the values

[tex]a=3^3\\b=3^4\\\\a=27\\b=81[/tex]

Answer:

True.

Step-by-step explanation:

Lateral Surface area of cone=πrl=πr×2h=2πrh

Lateral surface area of cylinder=2πrh

Answer:

30 cans :)

Step-by-step explanation:

We need to divide to solve so lets do that now :)

15 x 4 = 60

60/2 = 30

Have an amazing day!!

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The radius of the base of the vase in cm to 2 dp is 0.08m

The formula for calculating the pressure of a object is expressed as;

Pressure = Force/Area

Area = Force/Pressure

Area = 15/750

Areas = 0.02m²

Since the area of the circular base is πr², then;

πr² = 0.02

r² = 0.02/3.14

r = 0.0798m

Hence the radius of the base of the vase in cm to 2 dp is 0.08m

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Answer:

P = [tex]\frac{91}{703}[/tex] ≅ 12.95%.

Step-by-step explanation:

The total amount of chocolates in the box is 8 + 16 + 14 = 38, 14 of which are solid.

Let's calculate the probability of getting a solid chocolate in the first selection:

[tex]P(1S) = \frac{14}{38} = \frac{7}{19}.[/tex]

Given that the first piece was solid, there are now 37 pieces of chocolate in the box, 13 of which are solid. Let's now calculate the probability of selecting another solid chocolate:

[tex]P(2S\,|\,1S) = \frac{13}{37}.[/tex]

Thus, the probability of selecting two solid chocolates in a row is the product of the two probabilities calculated above:

[tex]P = \frac{7}{19}\,.\,\frac{13}{37} = \frac{91}{703}.[/tex]

The attached graph represents the graph of the line

The given parameters are:

Slope, m = -3

(x1, y1) = (-3, -2)

The equation is calculated as:

y = m(x - x1) + y1

So, we have:

y = -3(x + 3) - 2

Expand

y = -3x - 9- 2

Evaluate the difference

y = -3x - 11

See attachment for the graph of y = -3x - 11

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Gathering information from individuals in a sample is known as : Data collection. ( B )

Statistics is the science of collecting and analyzing data in quantities, especially for the purpose of informing.

Analysis:

sample collection is the first approach to analyzing any information.

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The formula for the general term of the sequence is Tn = 4n - 2

The sequence is given as:

{2, 6, 10, 14, 18, . . . }

The above sequence is an arithmetic sequence with the following features:

The formula for the general term is calculated using:

Tn = a + (n - 1) * d

This gives

Tn= 2 + (n - 1) * 4

Expand

Tn = 2 + 4n - 4

Evaluate the like terms

Tn = 4n - 2

Hence, the formula for the general term of the sequence is Tn = 4n - 2

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The table of values is

x -1 0 1 2 3 4 5 6

f(x) -13 -7 -1 11 35 77 143 139

The function is given as:

f(x) = x³ +5x-7

And the values of x are

x = -1, 0, 1, 2, 3, 4 5 and 6.​

Substitute these values in the function

f(-1) = (-1)³ +5(-1) - 7 = -13

f(0) = (0)³ +5(0) - 7 = -7

f(1) = (1)³ +5(1) - 7 = -1

f(2) = (2)³ +5(2) - 7 = 11

f(3) = (3)³ +5(3) - 7 = 35

f(4) = (4)³ +5(4) - 7 = 77

f(5) = (5)³ +5(5) - 7 = 143

f(6) = (6)³ +5(6) - 7 = 239

Hence, the table of values is

x -1 0 1 2 3 4 5 6

f(x) -13 -7 -1 11 35 77 143 139

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Answer: [tex]h'(t)=4t^3 + 6t-1[/tex]

Step-by-step explanation:

Use the power rule for differentiation.

Part A: 6 ( 8m + 2) and 48m + 12

Part B: 48m - 48m = 12 - 12

Part C: 6 (10) = 6(10)

1. The two expressions could be gotten thus;

6(m + 2 + 7m)

Collect like terms in the bracket

6 ( 8m + 2) ⇒ first expression

6(m + 2 + 7m)

Expand the bracket

6m + 12 + 42m

Collect like terms

6m + 42m + 12

48m + 12 ⇒ second expression

Part B:

6(m + 2 + 7m) = 48m + 2

Expand the bracket

6m + 12 + 42m = 48m + 2

Collect like terms

48m - 48m = 12 - 12

0 = 0

Part C:

Let the expression from A be 6 ( 8m + 2)

6(m + 2 + 7m) = 6 ( 8m + 2)

Let the number be m = 1

Substitute the values

6(1 + 2 + 7(1) ) = 6 (8(1) + 2)

6 ( 1 + 2 + 7) = 6 (10)

6 (10) = 6(10)

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Answer:

B.concurrency.

Step-by-step explanation:

Three or more lines when met at a single point are said to be concurrent and the point of intersection is point of concurrency.