which expression has the same value as 50 + (-17)

C. The point estimate of the difference between the two population means is 2.

D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)

Given that:

Sample 1 mean (x1) = 9

Sample 2 mean (x2) = 7

Sample 1 standard deviation (σ1^2) = 2.28

Sample 2 standard deviation (σ2^2) = 1.79

C. To find point estimate of the difference between the two population   means.

sample mean(x1) - sample mean(x 2)

 = 9 - 7

= 2

Therefore, point estimate = 2

D. To find 90% confidence interval estimate of the difference between the two population means

90% confidence for 't'

df = (n1 + n2) - 2

   = 12-2

   = 10

90%  confidence with df = 10 is t

t = 1.812

point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)

2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)

3 - 1.812 *\(\sqrt{0.866 + 0.534}\)

1.188 * 0.9305 + 0.7307

(1.748, 0.867)

To learn more about point estimate check the given link

https://brainly.com/question/16256145

#SPJ4

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

learn more on kite here: https://brainly.com/question/27975644

#SPJ9

Greetings from Brasil...

isolating a:

(a + b + c)/3 = z

(a + b + c) = 3z

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that \(n = 48\)

The probability that any integrated circuit is defective is 0.01.

This means that \(p = 0.01\)

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173\)

0.6173 = 61.73% probability that the product operates.

Answer:

Question 7

Domain: (-2,3]

Range: (1,4]

Question 8

a) No

b) x=4 and x=-2

c) (0,3)

d) (3,0) and (-1,0)

Step-by-step explanation:

Question 7

Domain refers to the span of x-values that a function encompasses. We can see from the graph that the lowest x value is -2 and the highest one is 3, and we also note the open circle at x=-2 (meaning x=-2 itself isn't included, which we note using curved brackets) and the closed circle at x=3 (meaning x=3 itself is included, which we note using square brackets). This leaves us with a domain of (-2,3]

Range meanwhile refers to the span of y-values that a function encompasses. We can see from the graph that the lowest y value is 1 and the highest one is 4, and we also note the open circle at y=1 (meaning y=1 itself isn't included, which we note using curved brackets) and the closed circle at y=4 (meaning y=4 itself is included, which we note using square brackets). This leaves us with a range of (1,4]

Question 8

a)

If the point (1,-3) is on the graph, then subbing 1 in for x and -3 in for f(x) should equate:

f(x)=x²-2x-3

-3=1²-2(1)-3?

-3=1-2-3?

-3=-4?

Since this doesn't equate, we can say the point is not on the line.

b)

The condition is that (x,5) is on the graph, so let's sub 5 in for f(x):

f(x)=x²-2x-3

5=x²-2x-3

x²-2x-8=0

(x-4)(x+2)=0

x=4 and x=-2

c)

The y-intercept is the point(s) at which the graph crosses the y-axis, ie where x=0, so to find it we sub 0 in for x:

f(x)=x²-2x-3

f(0)=0²-2(0)-3=-3

Therefore the y-intercept is (0,3)

d)

The c-intercept is the point(s) at which the graph crosses the x-axis, ie where y=0, so to find it we sub 0 in for f(x):

f(x)=x²-2x-3

0=x²-2x-3

(x-3)(x+1)=0

x=3 and x=-1

Therefore the x-intercepts are (3,0) and (-1,0)

About 80 necklaces have more than 28 beads. Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.

P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)

P(x > 28) = P(x - 24 / 4 > 1)

P(x > 28) = 1 - ∅1

P(x > 28) = 1 - 0.8413

P(x > 28) = 0.1587

Multiply both sides by 500, then we have

500 P(x > 28) = 0.1587 × 500

500 P(x > 28) = 79.35

500 P(x > 28) ≈ 80

About 80 necklaces have more than 28 beads. Then the correct option is C.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ1

The missing options are given below.

A. About 24 devices have more than 28 beads.

B. About 48 necklaces have more than 28 beads.

C. About 80 necklaces have more than 28 beads.

D. About 96 necklaces have more than 28 beads.

Answer: 6/8 inch

Step-by-step explanation:

Answer:

A. 72°

D. 144°

E. 216°

Step-by-step explanation:

I just answered this.

in short : we rotate each vertex on a circle arc. the center of that circle being P.

so, at the end of every 1/5 of the circle arc there is a vertex of the polygon.

therefore, with every 1/5 of a full circle rotation we move the pentagon visually onto itself.

that is starting at

360/5 = 72°

and then every additional 72°

144°

216°

288°

360°

so, A, D and E are correct

Similar triangles are those triangles whose corresponding sides are in the same ratio. The length of the sides ST and RT are 5 units and 3 units, respectively.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.

Given that the two triangles are similar because the two have the same ratio. Therefore, the ratio of the corresponding sides in the triangle can be written as,

Ratio = AB/RS = BC/ST = AC/RT

Ratio = 18/6 = 15/ST = 9/RT

Now, using the ratio the length of the sides can be written as,

18/6 = 15/ST

ST = (15 × 6)/18

ST = 5 units

18/6 = 9/RT

RT = (9 × 6)/18

RT = 3 units

Hence, the length of the sides ST and RT are 5 units and 3 units, respectively.

Learn more about Similar Triangles:

https://brainly.com/question/25882965

#SPJ5

While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

Read more about Absolute Value Function at: https://brainly.com/question/3381225

#SPJ1

Answer:

All integers greater than 4

Step-by-step explanation:

I took the test.

The area of the circle is approximately 78.5 square meters.

To determine the area of a figure, we need to know what type of figure it is and what its dimensions are. The formulas for finding the areas of different types of figures are as follows:

Rectangles: Area = length x widthSquares: Area = side x sideTriangles: Area = 1/2(base x height)

Circles: Area = πr² (where π is pi and r is the radius)Problem 1:Let's say we have a rectangle with a length of 6 cm and a width of 4 cm.

To find its area, we use the formula Area = length x width. Substituting in our values,

we get:Area = 6 cm x 4 cm = 24 cm²Therefore, the area of the rectangle is 24 square centimeters.Problem 2:Next, let's look at a circle with a radius of 5 meters.

To find its area, we use the formula Area = πr². Substituting in our values, we get:Area = π(5 m)² = π(25 m²) ≈ 78.5 m²

To learn more about : area

https://brainly.com/question/25292087

#SPJ8

Answer:

3 pages per minute.

Step-by-step explanation:

If we know that she reads 9 pages in 3 minutes, then we can divide the whole speed by 3 to get how much she reads in one minute.
3 pages in 1 minute.

Answer:

1. y = 2x - 5

2. y = (-1/3)x

3. y = -4

4. y = (-3/4)x + 7

5. x = 6

6. y = -3x - 8

Step-by-step explanation:

1.

Point 1: (0, -5) Point 2: (-1, -7)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -7 - (-5)     -7 + 5       -2

m = ------------ = ----------- = ---------- = ------ = 2

        x₂ - x₁         -1 - 0           -1           -1

y - y₁ = m (x - x₁)

y - (-5) = 2(x - 0)

y + 5 = 2x - 0

   -5           -5

y = 2x - 5

----------------------------------------------------------------------------------------------------------

2.

Point 1: (0, 0) Point 2: (3, -1)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        -1 - 0            -1

m = ------------ = ----------- = ----------

        x₂ - x₁         3 - 0            3

y - y₁ = m (x - x₁)

y - (0) = (-1/3)(x - 0)

y - 0 = (-1/3)x - 0

   -0                -0

y = (-1/3)x

----------------------------------------------------------------------------------------------------------

3.

Point 1: (0, -4) Point 2: (-5, -4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -4 - (-4)   -4 + 4         0

m = ------------ = ----------- = ---------- = ------ = 0

        x₂ - x₁         -5 - 0          -5          -5

y = -4

----------------------------------------------------------------------------------------------------------

4.

Point 1: (0, 7) Point 2: (4, 4)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        4 - 7            -3

m = ------------ = ----------- = ----------

        x₂ - x₁         4 - 0            4

y - y₁ = m (x - x₁)

y - 7 = (-3/4)(x - 0)

y - 7 = (-3/4)x - 0

   +7               +7

y = (-3/4)x + 7

----------------------------------------------------------------------------------------------------------

5.

Point 1: (6, 0) Point 2: (6, 3)

            (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 0             3

m = ------------ = ----------- = ---------- = undefined

        x₂ - x₁         6 - 6           0

x = 6

----------------------------------------------------------------------------------------------------------

6.

Point 1: (0, -8) Point 2: (-4, 4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        4 - (-8)      4 + 8       12

m = ------------ = ----------- = ---------- = ------ = -3

        x₂ - x₁         -4 - 0          -4         -4

y - y₁ = m (x - x₁)

y - (-8) = -3(x - 0)

y + 8 = -3x - 0

   -8           -8

y = -3x - 8

I hope this helps!

okay i dont know lololololokjdgshbnjhcdgsjfre

Zimbabwe has an absolute advantage in producing toothbrushes and a comparative advantage in producing hairbrushes.

Absolute advantage refers to a country's ability to produce a certain product with fewer resources than another country, while comparative advantage refers to a country's ability to produce a certain product more efficiently than another country, even if it does not have an absolute advantage.

By comparing the absolute values, it can be seen that Zimbabwe has an absolute advantage in producing toothbrushes as they can produce 3 toothbrushes while Portugal can produce only 5 toothbrushes. However, the comparative advantage can be determined by comparing the opportunity cost of each country.

The opportunity cost refers to the next best alternative that a country must give up in order to produce a certain product.

In this case, the opportunity cost of producing one toothbrush in Zimbabwe is 10/3 = 3.33 hairbrushes.

Meanwhile, the opportunity cost of producing one toothbrush in Portugal is

=> 6/5 = 1.2 hairbrushes.

Since the opportunity cost of producing one toothbrush in Portugal is lower than the opportunity cost of producing one toothbrush in Zimbabwe, it can be concluded that Portugal has a comparative advantage in producing toothbrushes.

To know more about absolute value here.

https://brainly.com/question/1301718

#SPJ4

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

Learn more about probability here:

https://brainly.com/question/23417919

#SPJ8

Answer:

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

Step-by-step explanation:

We assume that goose is flying at constant velocity. After reading carefully the statement of the problem, we create the following geometrical diagram, which is included at the end of this explanation and represents the following Pythagorean identity:

\(x^{2}+y^{2} = r^{2}\) (Eq. 1)

Where:

\(x\) - Horizontal distance of the goose from pond, measured in feet.

\(y\) - Vertical distance of the goose from pond, measured in feet.

\(r\) - Resultant distance of the goose from pond, measured in feet.

We find the rate of change in time at which resultant distance is increasing by differentiating on (Eq. 1):

\(2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y = 2\cdot r \cdot \dot r\)

\(x\cdot \dot x + y\cdot \dot y = r\cdot \dot r\)

\(\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}\) (Eq. 2)

Where:

\(\dot x\) - Rate of change of horizontal distance, measured in feet per second.

\(\dot y\) - Rate of change of vertical distance, measured in feet per second.

\(\dot r\) - Rate of change of resulting distance, measured in feet per second.

If we know that \(x = 500\,ft\), \(y = 300\,ft\), \(\dot x = 50\,\frac{ft}{s}\) and \(\dot y = 0\,\frac{ft}{s}\), the rate at which the distance from the goose to the pond is increasing is:

\(\dot r = \frac{(500\,ft)\cdot \left(50\,\frac{ft}{s}\right)+(300\,ft)\cdot \left(0\,\frac{ft}{s} \right) }{\sqrt{(500\,ft)^{2}+(300\,ft)^{2}}}\)

\(\dot r \approx 42.875\,\frac{ft}{s}\)

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

let the required number be x then

So 60 is 40% of 150.

The required final answers of mixed fractions are 665/48, 259/45, 6095 / 28, 67/10.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

This expression can be evaluated by converting the mixed fraction to improper fractions and then performing the arithmetic operations.

1. \(2\frac{1}{3} +5\frac{5}{16} + \frac{2}{7}\)

= 7/3 + 85/16 + 2/7

=  665/48.

2. \(9\frac{5}{9} - 3\frac{2}{5}\)

= 86/9 - 17/5

= 259/45.

3. \(16\frac{3}{7} *13\frac{1}{4}\)

= 115/7 * 53/4

= 6095 / 28

4. \(16\frac{3}{4}\) ÷ \(2\frac{1}{2}\)

= 67/4 ÷ 5/2

= 67/10

Thus, required answers are 665/48, 259/45, 6095 / 28, 67/10.

To know more about mixed fraction visit:

brainly.com/question/29264210

#SPJ1

Answer:

91.8 ft

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 42 = x/102

102 tan 42 =x

91.84121252 =x

Answer:

The answer D i thank.... noitc i sed thank...

Step-by-step explanation

hope this helps:)

The solution for the linear inequality, in interval notation, is \(\:(-\infty \:,\:-\frac{7}{6}]\).

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use of follow symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than) and > (greater than).

The solutions for inequalities can be given by: graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for  the given inequality.

                                 12x-8≤6x-15

                                12x-6x≤ -15+8

                                   6x≤-7

                                    x≤ -7/6

Read more about inequalities here.

brainly.com/question/25275758

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

for more such question on fraction visit

https://brainly.com/question/30122573

#SPJ8

Answer:

The rule for dividing fractions is you multiply the first fraction by the reciprocal of the second fraction:

Solve for the given:

Correct choice is D

Answer:

y + 17 ≤ 36

Step-by-step explanation:

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

For more such questions on complement

https://brainly.com/question/16281260

#SPJ8

Answer:

\(\sf \text{The numbers are $\dfrac{-14}{3} $ and $\dfrac{-7}{3}$}\)

Step-by-step explanation:

Let the numbers be x , y

Sum of two numers = -7

x + y = -7------------(I)

Two times the first number equals 4 the second number.

2x = 4y  ----------(II)

Divide both sides by 2

       \(\sf \dfrac{2x}{2}=\dfrac{4y}{2}\)

        x = 2y

Subtitute x = 2y in equation (I)

2y + y = -7

      3y = -7

       y = -7/3

Plugin y = -7/3 in equation (II)

\(\sf 2x = 4*\dfrac{-7}{3}\\\\2x = \dfrac{-28}{3}\\\\x =\dfrac{-28}{3*2}\\\\x = \dfrac{-14}{3}\)

Answer:

It should be the top right one

(with 6ft as the height)

Step-by-step explanation:

Answer:

It must be the lower to the left choice.

Step-by-step explanation:

As you can see, the net we have is composed of only triangles.

So we should be choosing a figure with a triangular base.

Our answers are narrowed down into the top right and lower left choices because both figures have triangular bases.

The other person down there chose the top right choice and was incorrect, so the answer should be the lower to the left figure.

Also, its the lower left figure because look at the triangular base, it is an isosceles meaning that two sides have the same length.

If the net says that the long side measures 9 ft, then the other two sides should be the same length and shorter than 9 ft. So the answer is the lower left figure.

Hope this helps