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Find the quotient of 4 5/8 and 2 1/2. Express your answer in the simplest form.

equation: 2y = 3x + 15

If cross y-axis, the x will be 0

2y = 3(0) + 15

2y = 15

y = 7.5

crosses y-axis at (0, 7.5)

(b)

P(-1,10), Q(3,4)

(i) gradient:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{4-10}{3--1}[/tex]

[tex]\rightarrow \sf \dfrac{-6}{4}[/tex]

[tex]\rightarrow \sf -1.5[/tex]

(ii) midpoint:

[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (\dfrac{3-1}{2}, \dfrac{4+10}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (1,7)[/tex]

Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.

Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.

Therefore, the diameter of a full sphere = side length of cube.

Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

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Answer:

divide the number of pages by the time

Step-by-step explanation:

=50/40

=5/4

= 1.25/per minute

The length of the ribbon needed to cross from one corner of the rectangle to the other corner is 7 1/2 feet.

The length of the ribbon needed can be determined using the Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where

a = length

b = base

c = hypotenuse

√4.5² + 6²

√36 + 20.25 = 7.5 feet

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Answer:

6 carnations

Step-by-step explanation:

0.5x +15 = 3x

x = 6

Answer:

$279

Step-by-step explanation:

10% off $310 is $31

310-31 is 279

Answer: the sale price of the suit is $279 or $31 dollars off

Step-by-step explanation:

$310 x 0.10= $31

$310 - $31= $279

Answer:

  (d)  as a triangle, a rectangle, and a semicircle

Step-by-step explanation:

The description of the shape tells you how to decompose it. The shape is described as a semicircle, a rectangle, and a triangle. The appropriate decomposition is ...

  as a triangle, a rectangle, and a semicircle

Answer:

d

Step-by-step explanation:

The amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the percentage symbol '%'.

Miki, a resident of kyoto, earns an annual salary of ¥6,760,950. The Japanese government levies a 29.12% income tax on miki’s tax bracket.

The amount of tax Miki pay to the government as income tax is,

[tex]I=\dfrac{29.12}{100}\times6760950\\I=1968788.64[/tex]

Miki, earns an annual salary of ¥6,760,950. Thus, her yearly take-home pay after the deduction of income tax is,

[tex]M=6760950-1968788.64\\M=4792161.36\\M\approx4792161[/tex]

Thus, the amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.

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Answer:

A

Step-by-step explanation:

:) good luck

Dimensions : 16 x 20

solving steps:

So we found Width = 16 feet

Length:

Answer:

width = 16 ft

length = 20 ft

Step-by-step explanation:

Let width = x

If the length is 4 ft longer than the width, then

⇒ length = x + 4

Area of a rectangle = width × length

Given:

Substituting these values into the equation for the area of a rectangle and solving for x:

⇒ 320 = x(x + 4)

⇒ 320 = x² + 4x

⇒ x² + 4x - 320 = 0

⇒ (x - 16)(x + 20) = 0

⇒ x = 16, -20

As distance is positive, then x = 16 only.

Therefore, width = 16 ft and length = 20 ft

The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches.

To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.

Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.

Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.

To compute for the z-score,

we have z-score = (x – μ) / (σ / √n)

where x is the computed/measured value,

μ is the expected mean, σ is the standard deviation,

and n is the number of samples.

Using the information we have,

z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68

In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.

Hence The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

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Answer:

B. The z-statistic is 1.68, so the null hypothesis cannot be rejected.

Step-by-step explanation:

edg 22, got 100 on unit test

Answer:

96

Step-by-step explanation:

L=6

W=2

H=8

LxWxH=8x6x2=96

8x6=48

48x2=96

Answer:

76

Step-by-step explanation:

the answer is 76 because I took the test

Answer:

0.5

Step-by-step explanation:

0.5

I guess i am 70% sure

perimeter = turn of the figure

P = 6 + 3 + 4 + 4 + 3 + 6 + 3 + 4 + 3 = 36

the triangle has 2 équal sides => isosceles

and 1 angle is 60° so the triangle is equilateral

Answer:

I think answer C

Step-by-step explanation:

You can display how many toothbrushes were distributed each month on the dot plot :)

Have an amazing day!!

Please rate and mark brainliest!!

Using the z-distribution, as we are working with a proportion, it is found that the buyers need a sample of 1505.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is z = 2.327.

There is no estimate of the percentage, hence [tex]\pi = 0.5[/tex], and the margin of error is of M = 0.03, hence we solve for n to find the desired sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 2.327\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.327(0.5)[/tex]

[tex]\sqrt{n} = \frac{2.327(0.5)}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.327(0.5)}{0.03}\right)^2[/tex]

[tex]n = 1504.2[/tex]

Rounding up, the buyers need a sample of 1505.

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Answer:

150 cm^2

Step-by-step explanation:

A cube has 6 surfaces

Each surface square = 5 by 5

So.....

5 x 5 (or 25) times 6

25 x 6 = 150

Hope this helps!

Answer:

m = 4

Step-by-step explanation:

(80, 40) and (90, 80)

40/10= 4

Answer:

4

Step-by-step explanation:

choose two points

I chose (80,40) and (90,80)

(80-40)÷(90-80)

40/10

4

Answer:

C

Step-by-step explanation:

Givens

You are given 2 tangent lines.

You are also given a 4 sided figure.

All 4 sided figures have 360 degrees

A radius meets a tangent at 90 degrees

Formula

<BDA + <DCA + <BCA + <BDC = 360

Solution

90 + 90 +40 + <BDC = 360               Combine

220 + <BDC = 360                             Subtract 220 from both sides

220- 220 +BDC =360 - 220

<BDC = 140

Answer: C

Answer:

surface area of cylinder is 126cm²

Step-by-step explanation:

Height of a cylinder is 8cm

Radius of a cylinder is 2cm

surface area = ?

surface area of cylinder= 2πr(r + h)

=2×22/7×2(2+8)

=44/7×2(10)

=44/7×20

=880/7

=125.71

A = 2πrh + 2πr² π=3.14

The figure below is composed of eight circles, seven small circles and one large circle containing them all. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. Each small circle has a radius of 5 cm.

Answer:

100 quarters = 2500 cents = $25

500 dimes = 5000 cents = $50

total = $75

Step-by-step explanation:

About the minus sign with 16, square root of -1 is an imaginary number i(iota). Also we know that square root of -16 will be multiplication of square root of -1 and square root of 16. So the final answer becomes, + or - 4i. Hope this helps

‎[tex] \qquad\quad\hookrightarrow{\sf { 1000(e-1)}}[/tex]

[tex] \begin{aligned}&\longrightarrow \int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e ^{x - |x| }dx \\ \\ &\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e^{x - k}dx \\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999}e^{x - k \big |_{k}^ {k + 1}} \\ \\& \longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^ {999}(e - 1)\\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = 1000(e - 1)\end{aligned}[/tex]

Answer:

Area of a rectangle

A = lw

Answer:

true

Step-by-step explanation:

Answer:

x= -8,y= -4

Step-by-step explanation:

Substitute x= -8

-6(-8)+9y=12

simplify

48+9y=12

isolate for y

y= -4

The solutions to the system of equations are:

x= -8 and y= -4

Answer:  (x + 4)(x + 4)

                x² + 8x + 16

                x² + 4x + 4x + 16                

Step-by-step explanation:

See the image below.