Find the difference 98.54-11.23=

Scores on the Wechsler intelligence quotient (IQ) test are normally distributed with a mean score of 100 and a standard deviatio

rosijanka [135]

15.87% of the population does not meet the minimum standards.

We use z-scores to find this probability:

z=(X-μ)/σ = (85-100)/15 = -15/15 = -1

Using a z-table (http://www.-table.com) we see that the area to the left of, less than, this is 0.1587. This is 15.87%.

5 0

3 years ago

1.A bag has 4 green blocks, 3 red blocks, 2 blue blocks, and 1 yellow block. Find the probability of randomly selecting a block

maks197457 [2]

Answer: 1) 7/10 2) 15 3) 240 4) 1/4 5) 4/9 6) 1/20 7) No, not independent

Step-by-step explanation:

1. 4 green+3red+2blue+1yellow = 10 total

if 3/10 are red, then 7/10 are not red. So the second option, 7/10

2. 3 cartons in every 40

40*5 = 200

so do 3*5 = 15

so 15 or the third option

3. 40 out of 110

110*6 = 660

so do 40*6 = 240

so 240 or the fourth option

4.

Flipping heads: 1/2

rolling even: well, there is 2, 4, and 6, or 3 even numbers so 3/6 or 1/2

do 1/2*1/2 = 1/4

so 1/4 or the third option

5. Numbers more than 2: 3, 4, 5, 6 (4 numbers)

4/6 or 2/3 chance the first time, 2/3 chance the second time

do 2/3*2/3 = 4/9

so 4/9 or the second option

6. 5 dishes and 4 desserts

1/5 chance of picking the dish

1/4 chance of picking the dessert

do 1/5*1/4 = 1/20

so 1/20 or the fourth option

7. Since you don’t replace the marble after picking it, it affects the outcome of the second draw. Therefore the events are dependent, or not independent. So the second option.

7 0

3 years ago

I will mark you the brainiest for the correct answer, please be correct, Have a good day and take care, thanks. ( VIEW THE IMAGE

makkiz [27]

Mistake in Line 2 : Was in the determining the values for a ,b,c

Mistake in Line 4 : Not taking the square roots of both sides.

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2}$

First Mistake : Line 2

$a = x \\ b = 6 \\ c = 10$

Second Mistake : Line 4

$136 = {x}^{2} \\ not \\ 136 = x$

Correct Solution :

${x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x}^{2} = 100 - 36 \\$

${x}^{2} = 64 \\ \sqrt{ {x}^{2} } = \sqrt{64} \\ x = 6$

3 0

2 years ago

the length of a rectangular building is 6 feet less than 3 times t he width. The perimeter is 120 feet. Find the width and the l

garri49 [273]

Call the width x. Note that the length is 3x-6. We know that double the width plus double the length is 120, so we write an equation:

$2(x)+2(3x-6)=120$
$2x+6x-12=120$
$8x-12=120$
$8x=132$
$x=16.5$
If x is 16.5, the width is 16.5, and the length is $3 \cdot 16.5 - 6 = 43.5$ .

5 0

3 years ago

G a survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related

Naily [24]

Answer:

The expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.

Step-by-step explanation:

The data provided is:

Opinion

Front Footage For Undecided Against Total

Under 45 feet 12 4 4 20

45-120 feet 35 5 30 70

Over 120 feet 3 2 5 10

Total 50 11 39 100

The formula to compute the expected frequency is:

$E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}$

Compute the expected frequency for people against the project and who have over 120 feet of property foot frontage as follows:

$E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}$

$E(5)=\frac{10\times 39}{100}=\frac{39}{10}=3.9$

Thus, the expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.

6 0

2 years ago