HELP........................................

Answer:

The 90% confidence interval for the population mean length of nails produced by the machine.

(2.91562, 3.04438)

Step-by-step explanation:

Step:1

Given that the size of the sample 'n' = 10

Given that the mean of the sample (x⁻) = 2.98

Given that the standard deviation of the sample (s) = 0.09

Degrees of freedom = n-1 = 10 -1 = 9

t₀.₁₀ = 2.2621

Step:2

The 90% confidence interval for the population mean length of nails produced by the machine.

[tex](x^{-} - t_{9 , 0.10} \frac{S}{\sqrt{n} } , x^{-} + t_{9,0.10} \frac{S}{\sqrt{n} } )[/tex]

[tex](2.98 - 2.2621(\frac{0.09}{\sqrt{10} } , 2.98 + 2.262 \frac{0.09}{\sqrt{10} } )[/tex]

(2.98 - 0.06438 , 2.98 + 0.06438)

(2.91562 , 3.04438)

Final answer:-

The 90% confidence interval for the population mean length of nails produced by the machine.

(2.91562, 3.04438)

Answer:

Julie is 16 years old and Molly is 21 years old.

Step-by-step explanation:

Given that Julie is 5 years younger than her sister, Molly, and the sum of their ages is 37, to determine how old is each sister the following calculation must be performed:

(37 - 5) / 2 = X

32/2 = X

16 = X

(16 + 5) + 16 = X

21 + 16 = X

37 = X

Therefore, Julie is 16 years old and Molly is 21 years old.

Answer:

Reject H0 if x > cv

Step-by-step explanation:

The hypothesis :

H0 : μ ≤ 425

H1 : μ > 425

Standard deviation, s = √2500 = 50

Sample size, n = 100

xbar = 433.5

The test statistic, Z :

(xbar - μ) / s/√n

(433.5 - 425) / 50/10

Z = 8.5 / 5 = 1.7

The decision region ;

|Z| > Z0.01 ; Reject H0

From Z table ;critical value, Z0.01 = 2.33

1.7 < 2.33 ; We fail to reject then Null and conclude that thee is no significant evidence support the claim that population mean income has increased.

Answer:

B) $3060.00

Step-by-step explanation:

8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.

I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.

I'm not sure if this is correct

Answer:

10 cubes

Step-by-step explanation:

2.5 × 1 × 2 = 5 cm³

5 ÷ 0.5

10 cubes

Answer:

10 cubes

Step-by-step explanation:

1 × 2 × 2.5 = 5cm^3

5 ×× .5 = 10

so 10 cubes would fit

Answer:

The slope is -4.5

The slope means that Elijah's phone battery will decrease by 4.5 percent each hour.

Step-by-step explanation:

In the equation y = mx + b, m is the slope.

The coefficient in the equation B = 27 – 4.5t is -4.5. This means that -4.5 is the slope of the equation.

In the context of this problem, the slope will represent the percent that Elijah's phone battery will decrease per hour.

So, the slope means that Elijah's phone battery will decrease by 4.5 percent each hour.

Answer:

Option C

Step-by-step explanation:

Given :-

Options :

We can check the options , as ,

[tex]:\implies[/tex] Option 1 : 10

[tex]:\implies[/tex] Option C : 4

Hence option C is not a solution .

Answer:

3y

Step-by-step explanation:

Answer:

y intercept is 4

the equation is y= 3/4 + 4

Slope intercept equation y=mx+b

Answer:

84 feet

Step-by-step explanation:

If the perimeter is 36 feet, and all the sides are the same length, then all the sides are 9. if we increase the length by 3 feet and decrease the width  by 2 feet then we are left with 12 * 7 = 84

Answer:

On wat

Step-by-step explanation:

Answer: 2 Don't know

Step-by-step explanation:

Answer:

163.67 ( I )

Step-by-step explanation:

Answer:

Option (a) is correct.

For given values a = 1 , b = -3 , c = -5 the quadratic equation is  

Step-by-step explanation:

Given : a = 1 , b = -3 , c = -5

We have to write the quadratic equation having a = 1 , b = -3 , c = -5 and choose the correct option.

The standard form of quadratic equation is  , where a, b, c are constant integers.

Given : a = 1 , b = -3 , c = -5

Then Substitute, we get,

Thus, the obtained quadratic equation is same as option (a)

Thus, For given values a = 1 , b = -3 , c = -5 the quadratic equation is

The equation for which a-value 1, ab-value -3 and ac-value -5 is 0=-3x-5+x².

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

Here, a-value = 1,

        ab-value =  -3

        ac-value = -5

a = 1, b = -3, and c = -5

General Equation,

ax² + bx + c = 0

1x² + (-3)x + (-5) = 0

x² -3x -5 = 0

Thus, the equation for which a-value 1, ab-value -3 and ac-value -5 is 0= -3x -5 + x².

Learn more about Quadratic Equation from:

https://brainly.com/question/1863222

#SPJ2

Answer:

15

Step-by-step explanation:

You have to find the total number of crayons whcih will be 21.

Then you do 21-6 ( red pencil) to get 15

15 pencil not read.

Answer:

  1/2,

Step-by-step explanation: Please find the attached image of unit circle.

We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.

We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.

We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .  

Answer:

There is a rule on how we find prime numbers.

Step-by-step explanation:

A clear rule determines exactly what makes a prime: it's a whole number that can't be exactly divided by anything except 1 and itself. But there's no discernible pattern in the occurrence of the primes.That's because, after the number 5, there are only four possibilities — 1, 3, 7, and 9 — for prime last digits

Answer:

2x + 5.8= 45.8

Step-by-step explanation:

8x + 6x + 5x + 3x = 440

combine like terms:

22x = 440

divide both sides of the equation by 22:

x = 20

2x + 5.8= 40 + 5.8 = 45.8

Answer:

D

Step-by-step explanation:

diameter of 1 circle = 21.3/3= 7.1

radius of 1 circle= 7.1/3=3.55

area of 1 circle =πr^2=3.14× (3.55)^2=39.57

area of 3 circle= 39.57×3=118.72

therefore,area of shaded portion= area of 3 circle =118.72

Answer:

1 1/2

Step-by-step explanation:

Answer:

$732

Step-by-step explanation:

Given

[tex]y \to profit[/tex]

[tex]x \to widgets[/tex]

[tex]y = -x^2 + 64x - 292[/tex]

Required

The maximum profit

First, we calculate the maximum amount of widgets that can be sold using:

[tex]x = -\frac{b}{2a}[/tex]

Where:

[tex]a = -1; b = 64; x = -292[/tex]

So, we have:

[tex]x = -\frac{64}{2 * -1}[/tex]

[tex]x = -\frac{64}{-2}[/tex]

[tex]x = -(-32)[/tex]

[tex]x = 32[/tex]

The maximum profit is:

[tex]y = -x^2 + 64x - 292[/tex]

[tex]y = -(32)^2 + 64 * 32 - 292[/tex]

Using a calculator, we have:

[tex]y = 732[/tex]

Answer:

d = 126, z = 28

Step-by-step explanation:

The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)

Answer:

Step-by-step explanation:

2 surfaces that are 5x7

2 surfaces that are 4x7

and the top and bottom that are 4x5

2*5*7 = 70

2*4*7 = 56

2*4*5 = 40

total surface is 166 [tex]cm^{2}[/tex]

Answer:

166 square centimeters

Step-by-step explanation:

Surface area of a rectangular prism can be found by finding the area of each of the six surfaces of the prism. Remember that opposite sides on a rectangular prism are equal to each other, as they have the same side lengths. Because of this, the equation for surface area can be described as: 2lw + 2lh + 2wh. In this case, the length l is represented by 5cm, the width w is 4cm, and the height h is 7 cm. Now you can solve for the surface area:

SA = 2lw + 2lh + 2wh

SA = 2(5 x 4) + 2(5 x 7) + 2(4 x 7)

SA = 2(20) + 2(35) + 2(28)

SA = 40 + 70 + 56

SA = 166

Recall that units of area are given as square units, and the measure of this rectangular prism is given in centimeters. The answer is then given in square centimeters.

SA = 166 square centimeters

Answer:

139.5 mm

Step-by-step explanation:

The area of a geometric shape with all sides of equal length is:

A (1/2)nsr

n = the number of sides

s = the length of the sides

r = the length of the apothem

The apothem is the line going from the center point of the shape to the middle of one of the sides.

A = (1/2)(5)(9)(6.2)

A = (1/2)279

A = 139.5 mm

Answer:

Compare them ➗That's the answer

Answer:

The square root of 7 and the square root of 2

Step-by-step explanation:

Answer: 3x^2 - 7x - 6

Step-by-step explanation:

Answer:

3x^2-7x-6

Step-by-step explanation:

(3x+2)(x-3)

3x^2-9x+2x-6

3x^2-7x-6

Hope this helps.

Answer:

Step-by-step explanation:

ans]=71

x-10=61

x=61+10

x=71

Answer:

2^7

Explanation:

You can add up the square of two and the square of five. This is the easiest way.