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3 years ago

2/3÷-4/5 what is two thirds divided by negative four fifths

Mathematics

2 answers:

RUDIKE [14]3 years ago

6 0

I think that this is the resolution
2/3×5/-4 = 10/-12
hope this helps

Anna71 [15]3 years ago

4 0

I hope this helps KCF is the method used when dividing fractions

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The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7

hram777 [196]

We need to work out the z-value of each question to work out the probability

Question a)

We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
z-score = (X - μ) / σ = (5 - 6.7) / 2.2 = -0.77

We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206

The table is attached in picture 1 below

The probability of assembly time less than 5 minutes is 0.2206 = 22.06%

Question b)

z-score = (10-5) / 2.2 = 2.27

Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below

The probability the assembly time will be less than 10 minutes is 0.9884

We can use this information to find the probability of the assembly time will be more than 10 minutes = 1 - 0.9884 = 0.0116 = 1.16%

Question c)

The value of z between 5 minutes and 10 minutes is

P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%

6 0

3 years ago

Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option <em>B. AA</em>

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by <em>AA theorem.</em>

<em>So, correct answer is option B. AA </em>

7 0

2 years ago

The position of a diving bell is −3/4 mile relative to sea level. The diving bell reached this position after dropping from sea

Natalija [7]

<span>After 1 hour, the diving bell was -1/2 mile relative to sea level. Since the rate of decent is constant, we can use two ratios to represent the depth at 2 different times. To make things easier to write, I'll use decimals to represent time and depth. -.75 / 1.5 = x / 1 Now solve for x -0.5 = x So after 1 hour, the diving bell was -1/2 mile relative to sea level.</span>

6 0

3 years ago

I dont know how to do this...<br>I need #48

agasfer [191]

Just switch the x and the 3

8 0

3 years ago

Read 2 more answers

If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , the

sveticcg [70]

Answer:

<h3>The volume of the prism is cubic $\frac{105}{512}$ centimeters.</h3><h3>Step-by-step explanation:</h3><h3>Given that a rectangular prism has the following dimensions:</h3><h3> $length, l=\frac{3}{8}cm \\\\width, w=\frac{5}{8}cm \\\\height, h=\frac{7}{8}$ </h3><h3>We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by</h3><h3> $V=w*h *l.$ </h3><h3>Therefore, the volume of the given prism will be</h3><h3> $V\\\\=w*h*l\\\\=\frac{3}{8}*\frac{5}{8}*\frac{7}{8} \\\\=\frac{105}{512}cm^{3}.$ </h3><h3>Thus, the volume of the prism is $\frac{105}{512}$ cubic centimetres.</h3>

8 0

3 years ago