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3 years ago

Two-thirds of a number is negative six. Find the number. a) -9 b) -8 c) -4

Mathematics

1 answer:

Jet001 [13]3 years ago

7 0

Answer:

A) -9

Step-by-step explanation:

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From a hot-air balloon, Madison measures a 36^{\circ}

krek1111 [17]

The balloon’s vertical distance above the ground is 570.3 feet

<h3>Angle of elevation and depression</h3>

Given the following parameters

The angle of depression = 36 degrees

Base distance = 785 feet

<h3>Required</h3>

vertical distance above the ground (H)

Using the SOH CAH TOA identity

tan 36 = H/785
H = 785tan36

H = 570.3 feet

Hence the balloon’s vertical distance above the ground is 570.3 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

3 0

2 years ago

The market and Stock J have the following probability distributions:

denis-greek [22]

Answer:

1) $E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

2) $E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

3) $E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

4) $E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

Step-by-step explanation:

For this case we have the following distributions given:

Probability M J

0.3 14% 22%

0.4 10% 4%

0.3 19% 12%

Part 1

The expected value is given by this formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

Part 2

$E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

Part 3

We can calculate the second moment first with the following formula:

$E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

Part 4

We can calculate the second moment first with the following formula:

$E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

8 0

3 years ago

Can someone please answer this

kaheart [24]

Answer:

<h2> ${7}^{3} (as \: a \: single \: power \: of \: 7)$ </h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u> </u></em><em><u> </u></em>

${7}^{4} \div 7$

<em><u>Since</u></em><em><u>,</u></em>

${a}^{x} \div {a}^{y} = {a}^{x - y}$

<em><u>Hence</u></em><em><u>,</u></em>

$= {7}^{4 - 3}$

$= {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)$

8 0

2 years ago

Find the error & explain why it is wrong:

ICE Princess25 [194]

Step b is wrong. The slope is the change in y over the change in x.

Step b should be (18- 8)/( 10-6)

= 10/4

= 5/2

8 0

2 years ago

the school office orderd 24 boxes of pen there total cost was 191.52 what was the cost of 1 box of pen

Ivahew [28]

Answer:

$7.98 per box

Step-by-step explanation:

Divide 191.52 by 24

4 0

2 years ago

Read 2 more answers