The expression 8^-4x8^6 is equivalent to

A boat travels at constant speed. After 20 minutes the boat had traveled 2.5 miles. How long does it take the boat to reach the

schepotkina [342]

120 minutes

Step by step:

divide 20 by 2.5 to find how many minutes it takes to drive 1 mile, then multiply that by 15 miles

7 0

4 years ago

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a t

nikdorinn [45]

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

Weight of large box = x

Weight of small box = y

According to given statement;

5x+2y=102 Eqn 1

3x+8y=153 Eqn 2

Multiyplying Eqn 1 by 4

$4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255$

Dividing both sides by 17

$\frac{17x}{17}=\frac{255}{17}\\x=15$

Putting x=15 in Eqn 2

$15(3)+8y=153\\45+8y=153\\8y=153-45\\8y=108$

Dividing both sides by 8

$\frac{8y}{8}=\frac{108}{8}\\y=13.5$

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

4 0

4 years ago

How do i solve and graph 3/4x + 8 < 41 on a number line

Tema [17]

Answer:

get the inequality first ! x<44

Step-by-step explanation:

3/4x+8<41 ( subtract 8 from both sides. 8 cancels out. and 41-8=33 )

3/4x<33 ( multiply both sides by 4/3)

3/4 ×4/3 = 1

33×33 =44

x<44

and to graph it your line should have a open circle on 44 and point to the left.

kinda like this:

<—————○

3 0

2 years ago

To apply Central Limit Theorem on sample proportions in One Sample Proportion test, the sample size and the population proportio

Sonbull [250]

Answer:

The sample size is 50 and population proportion under null hypothesis is 25% ( A ) meets the requirement

Step-by-step explanation:

when applying the central limit theorem on sample proportions in one sample proportion test .The conditions needed to be satisfied are np > 10, and n( 1-p ) > 10

A) sample size ( n ) = 50

population proportion = 25%

np = 50 * 0.25 = 12.5 which is > 10 ( 1st condition met )

n( 1 - p ) = 50( 1 - 0.25 ) = 37.5 which is > 10 ( second condition met )

B ) sample size (n) = 70

population proportion = 90%

np = 70*0.9 = 63 which is > 10 ( 1st condition met )

n(1-p) = 70 ( 1 - 0.9 ) = 7 which is < 10 ( second condition not met )

C) sample size ( n ) = 50

population proportion = 15% = 0.15

np = 50 * 0.15 = 7.5 which is < 10 ( 1st condition not met )

n ( 1 - p ) = 50 ( 1 - 0.15 ) = 50 * 0.85 = 42.5 which is > 10 ( second condition met )

D) sample size ( n ) = 200

population proportion = 4% = 0.04

np = 200 * 0.04 = 8 which is < 10 ( 1st condition not met )

n ( 1 - p ) = 200 ( 1 - 0.04 ) = 192 which is > 10 ( second condition met )

hence : The sample size of 50 with population proportion under null hypothesis of 25% meets the requirement

6 0

4 years ago

Write -1 as a power in three different ways

meriva

1,846^-1
362^-1
<span>83,734^-1</span>

3 0

3 years ago