A 90% confidence interval for the mean height of a population is This result is based on a sample of size 169. Construct a 99%confidence interval.

9514 1404 393

Answer:

  0.6

Step-by-step explanation:

The instantaneous rate of change at any point on a curve is the slope of the tangent line at that point.

At x=1, the tangent line is given as ...

  y = 0.6x +0.9

The slope of that line is the coefficient of x, 0.6.

The instantaneous rate of change of f(x) at x=1 is 0.6.

Answer:

49.50

Step-by-step explanation:

Answer:

Estimate: $50.00

Step-by-step explanation:

Estimate: round both numbers

$4.95 rounds up to $5.00

10 plants is rounded to 10 plants

Set up equation

$5.00 × 10 plants

Solve

$50.00 total

Step-by-step explanation:

1 face area = length x width (aka length x length since cube)

therefore 1 side = ±√144 cm = 12 cm or - 12cm (rej as length > 0cm)

volume = length x width x height = 12 x 12 x 12 = 1728cm^3

Topic: Mensuration

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

ok wdym by that is that a question ?

Answer:

Two complex (imaginary) solutions.

Step-by-step explanation:

To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.

The discriminant formula for a quadratic in standard form is:

[tex]\Delta=b^2-4ac[/tex]

We have:

[tex]3x^2+7x+5[/tex]

Hence, a=3; b=7; and c=5.

Substitute the values into our formula and evaluate. Therefore:

[tex]\Delta=(7)^2-4(3)(5) \\ =49-60\\=-11[/tex]

Hence, the result is a negative value.

If:

Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.

Answer: h(x)=x^2-1: down 1

k(x)=x^2+1: up 1

m(x)=(x-1)^2: right 1

g(x)=(x+1)^2: left 1

Step-by-step explanation: just answered this question on edge 2020.

Answer:

t = -4

Step-by-step explanation:

[tex]\frac{6 - t}{-1 - (-3)}[/tex] = -5

[tex]\frac{6 - t}{2}[/tex] = -5

6 - t = 10

-t = 4

t = -4

Answer: 2/3 would be the simplified form

Step-by-step explanation: Hoped this helped!!!

Answer: 2/3

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

The Vertical angle would show that 2 of the angles are exactly the same. Its also given 2 lines that are marked as congurent. Since we know that angle and the lines are congruent we can also say that angle IFJ is congruent to angle IHG meaning that they are congruent because of ASA (Angle Side Angle Theorem)

Congruent triangles have equal corresponding sides lengths and angle measures.

The triangles are congruent by ASA

From the attached figure, we have:

[tex]\mathbf{HI \cong IF}[/tex]

Lines HG and JF are parallel lines.

It means that:

Angles G and F are corresponding, and also angles at I in both triangles are vertical angles.

So, we can conclude that both triangles are congruent by ASA

Read more about congruent triangles at:

https://brainly.com/question/12413243

Answer:

70.47feet

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE INTERPRETATION OF THE QUESTION USING A FIQURE

From the attachment we can see that a triangle was formed, where the

OPPOSITE SIDE= X

HYPOTENUSE=76feet

From trigonometry,

Sin(θ)=opposite/Hypotenuse

Sin(68)= X/76

Cross multiply, we have,

X= Sin(68) × 76

X= 0.9272 × 76

X= 70.47feet

Therefore, the antenna is 70.47feet tall.

9514 1404 393

Answer:

  3396

Step-by-step explanation:

The ratio tells you that out of every 7+4 = 11 votes, 4 of them were 'no' votes. Then the number of no votes is ...

  (4/11)(9339) = 3396 . . . no votes

Answer:

90% Confidence Interval = [24.81, 25.19]

Step-by-step explanation:

From the question, our number of samples is 20, it is small because it is less than 30. Hence we use the t score confidence interval formula

= Mean ± t score × Standard deviation/√n

Mean = 25 ohms

Standard deviation = 0.5 ohms

n = 20

We find the degrees of freedom = n - 1

= 20 - 1 = 19

Using the T score table

T score for 90% confidence interval with degrees of freedom 19

= 1.729

Hence:

Confidence Interval =

= 25 ± 1.729 × 0.5/√20

= 25 ± 0.1933080767

=

Confidence Interval

25 - 0.1933080767

= 24.806691923

≈ 24.81

25 + 0.1933080767

= 25.1933080767

≈ 25.19

90% Confidence Interval = [24.81, 25.19]

Answer:

1. Is a continuous random variable

2. Is a discrete random variable

3. Is not a random variable

Step-by-step explanation:

1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.

2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.

3. Political party affiliation is not a random variable.

Thank you!

Answer:

the logo could be kate spade

Answer:

Step-by-step explanation:

3. [tex]c^{11}[/tex] add exponents

4.[tex]m^{60}[/tex] multiply exponents

5.[tex]x^{6} y^{18}[/tex] distribute and multiply exponents

6. [tex]-21 a^{47} *b[/tex] multiply and then add exponents

7.[tex]100 a^{14} b^{4} c^{12}[/tex] distribute and multiply exponents

8.[tex]n^{22}[/tex] multiply and then add exponents

Time for which Bradly has to mow lawns to get $48:

We know that Bradly earn $3 every 3/4 hours of mowing lawns

Time taken by Bradly to get $1:

time taken by Bradly to get $1 = time taken to get $3 / $3

time taken = (3/4) / 3

time taken = 1/4 hours / dollar

Time taken by Bradly to get $48:

Time taken to get $48 = time taken to get $1 * 48

Time taken to get $48 = 1/4 * 48

Time taken = 12 hours

Therefore, after 12 hours of Mowing lawns, Bradly will have $48

Answer:

x intercept(3, 0) y intercept(0, -10)

Answer:

2/5

Step-by-step explanation:

4+19=25

square root of 25 is 5 so

adjacent over hypotenuse is 2/5

this might be wrong but I think this is how u do it

Answer:

just follow this formula

cos=adjacent over (divided by) hypothenuse

Step-by-step explanation:

answer 2 over √19

Answer:

8.5 I believe

Step-by-step explanation:

7 + 4 = 11

.75 + .25 = 1

11 + 1 = 12

20.5

- 12 .0

8 . 5

The equivalent expression is (2a + 1)².

Option (A) is correct.

Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns. They serve as the foundation for solving algebraic equations.

As per the given data in the question:

We are given an expression, and we have to find out the equivalent expression from the given options in the question.

The expression is (2a + 1)(2a + 1)

For option (A). (2a + 1)²

In (2a + 1)(2a + 1) using associative multiplication.

= 2a.2a + 2a + 2a + 1

= 4a² + 4a + 1

Using the identity: a² + 2ab + b² = (a + b)²

4a² + 4a + 1 = (2a + 1)²

The equivalent expression is (2a + 1)².

Hence, The equivalent expression is (2a + 1)².

To learn more about Polynomial, click:

brainly.com/question/11536910

#SPJ7

Answer:

real annual rate= 0.1606 = 16.06%

Step-by-step explanation:

Giving the following information:

APR= 14.99% = 0.1499

First, we will determine the nominal monthly rate:

Nominal monthly rate= 0.1499/12

Nominal monthly rate= 0.01249

Now, to calculate the real annual rate, we need to use the following formula:

real annual rate= [(1 + Nominal monthly rate)^n] - 1

real annual rate= [(1.01249^12) - 1]

real annual rate= 0.1606 = 16.06%

Answer:

6.31 thats what I think

Answer:D

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

270 -153=117

The answer is

B ($5/3 pounds)

Answer:

it is B

Step-by-step explanation:

it is B $5/3 pounds

Answer:

4 cups

Step-by-step explanation:

For one batch of cookies you'll need 1/2 cup of sugar. 8 batches of cookies is 8 times the amount of batches of one batch of cookies. So, if the amount of batches is multiplied by 8, then we need to multiply the amount of sugar by 8 as well:

1/2 * 8 = 8/2 = 4/1 = 4

4 cups of white sugar are needed for 8 batches of cookies.

Answer:

Step-by-step explanation:

From the information given:

The joint density of [tex]y_1[/tex]  and  [tex]y_2[/tex] is given by:

[tex]f_{(y_1,y_2)} \left \{ {{y_1+y_2, \ \ 0\ \le \ y_1 \ \le 1 , \ \ 0 \ \ \le y_2 \ \ \le 1} \atop {0, \ \ \ elsewhere \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \right.[/tex]

a)To find the marginal density of [tex]y_1[/tex].

[tex]f_{y_1} (y_1) = \int \limits ^{\infty}_{-\infty} f_{y_1,y_2} (y_1 >y_2) \ dy_2[/tex]

[tex]=\int \limits ^{1}_{0}(y_1+y_2)\ dy_2[/tex]

[tex]=\int \limits ^{1}_{0} \ \ y_1dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2[/tex]

[tex]= y_1 \ \int \limits ^{1}_{0} dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2[/tex]

[tex]= y_1[y_2]^1_0 + \bigg [ \dfrac{y_2^2}{2}\bigg]^1_0[/tex]

[tex]= y_1 [1] + [\dfrac{1}{2}][/tex]

[tex]= y_1 + \dfrac{1}{2}[/tex]

i.e.

[tex]f_{(y_1}(y_1)}= \left \{ {{y_1+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.[/tex]

The marginal density of [tex]y_2[/tex] is:

[tex]f_{y_1} (y_2) = \int \limits ^{\infty}_{-\infty} fy_1y_1(y_1-y_2) dy_1[/tex]

[tex]= \int \limits ^1_0 \ y_1 dy_1 + y_2 \int \limits ^1_0 dy_1[/tex]

[tex]=\bigg[ \dfrac{y_1^2}{2} \bigg]^1_0 + y_2 [y_1]^1_0[/tex]

[tex]= [ \dfrac{1}{2}] + y_2 [1][/tex]

[tex]= y_2 + \dfrac{1}{2}[/tex]

i.e.

[tex]f_{(y_1}(y_2)}= \left \{ {{y_2+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.[/tex]

b)

[tex]P\bigg[y_1 \ge \dfrac{1}{2}\bigg |y_2 \ge \dfrac{1}{2} \bigg] = \dfrac{P\bigg [y_1 \ge \dfrac{1}{2} . y_2 \ge\dfrac{1}{2} \bigg]}{P\bigg[ y_2 \ge \dfrac{1}{2}\bigg]}[/tex]

[tex]= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} f_{y_1,y_1(y_1-y_2) dy_1dy_2}}{\int \limits ^1_{\frac{1}{2}} fy_1 (y_2) \ dy_2}[/tex]

[tex]= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} (y_1+y_2) \ dy_1 dy_2}{\int \limits ^1_{\frac{1}{2}} (y_2 + \dfrac{1}{2}) \ dy_2}[/tex]

[tex]= \dfrac{\dfrac{3}{8}}{\dfrac{5}{8}}[/tex]

[tex]= \dfrac{3}{8}}\times {\dfrac{8}{5}}[/tex]

[tex]= \dfrac{3}{5}}[/tex]

= 0.6

(c) The required probability is:

[tex]P(y_2 \ge 0.75 \ y_1 = 0.50) = \dfrac{P(y_2 \ge 0.75 . y_1 =0.50)}{P(y_1 = 0.50)}[/tex]

[tex]= \dfrac{\int \limits ^1_{0.75} (y_2 +0.50) \ dy_2}{(0.50 + \dfrac{1}{2})}[/tex]

[tex]= \dfrac{0.34375}{1}[/tex]

= 0.34375

Answer:

[tex]S = -\dfrac{1}{3}P+\dfrac{740}{3}[/tex]

Step-by-step explanation:

Given that:

Number of seats sold is 180 with ticket price $200.

Number of seats decreases by one when the ticket price is increased by $3.

To find:

The formula for the number of seats sold (S) when the ticket price is P dollars.

Solution:

It is linear dependency of number of seats sold, S on ticket price, P.

[tex]S\propto P[/tex]

It can be written as:

[tex]S = kP+C[/tex]

Where [tex]k[/tex] is the constant of proportionality and

[tex]C[/tex] is a constant.

Now, putting the given values:

[tex]180 = 200k +C ..... (1)[/tex]

[tex]179 = 203k+C[/tex] ...... (2)

Subtracting (1) from (2):

[tex]3k = -1\\\Rightarrow k =-\dfrac{1}{3}[/tex]

Putting the value in (1):

[tex]\Rightarrow C = 180+\dfrac{200}{3} = \dfrac{740}{3}[/tex]

Therefore the equation becomes:

[tex]S = -\dfrac{1}{3}P+\dfrac{740}{3}[/tex]

4⁸

alternative form:

65536,6.5536×10⁴