A journal published a study of the lifestyle of visually impaired students. Using diaries, the students kept track of several variables, including the number of hours of sleep obtained in a typical day. These visually impaired students had a mean of 9.41 hrs and a standard deviation of 2.09 hrs. Assume that the distribution of the number of hours of sleep for this group of students is approximately normal.

A. Find P(8< x<10)

B. Find the value a for which P(x < a) = 0.3

Answer:

Aids

Step-by-step explanation:

AIDS is what ur mom has

Answer:

[tex]x=53\\[/tex]

Step-by-step explanation:

Together they make 90 degrees,

Now, form an equation to solve:

[tex]x+37=90[/tex]

[tex]x=90-37[/tex]

[tex]x=53[/tex]

{CHECK: [tex]53+37=90[/tex]}

hope this helps.....

Answer:

69420

Step-by-step explanation:

6

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Hi there!

In the given equation [tex]y=2x+5[/tex], the slope of the line is 2.

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The negative reciprocal of [tex]\frac{3}{1}[/tex] (which is the same as 3) is [tex]-\frac{1}{3}[/tex].

Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].

Using this logic, the negative reciprocal of 2, or [tex]\frac{2}{1}[/tex], is [tex]-\frac{1}{2}[/tex]. Therefore, the slope of a line perpendicular to the line [tex]y=2x+5[/tex] is [tex]-\frac{1}{2}[/tex].

I hope this helps!

9514 1404 393

Answer:

  $80

Step-by-step explanation:

You are given the formula ...

  P = I/(rt)

and the values I = 20, r = 0.05, t = 5.

Put the numbers in place of the corresponding variables and do the arithmetic.

  P = 20/(0.05·5) = 20/0.25 = 80

The amount $80 will generate $20 in interest over 5 years at 5% per year.

Answer:

8 years old

Step-by-step explanation:

oldest= 16

8+12+15+16= 51

51/4 = 12.73 ( average)

Answer:

the x-intercepts are at (-3,0) and (13,0)

Step-by-step explanation:

I dont think this is college level though :)

Answer:

(x + 2) (x +4) (x^2 + 25)

Step-by-step explanation:

Just did this problem

(  +  2 )  ( ^3  +  4 ^2  +  2 5  +  1 0 0 )

(  +  2 )  (  +  4 )  ( ^2  +  2 5 )

A factor is a number that completely divides another number. The factored form of the polynomial is (x² + 25 )(x + 2 )(x + 4 ).

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

The given expression can be factorized using the steps as shown below. Therefore, we can write the steps as,

Rewrite for factoring : ([tex]x^{2}[/tex] + 33[tex]x^{2}[/tex] + 200) + 6[tex]x^{3}[/tex] + 150[tex]x^{}[/tex]

Rewrite the term: x⁴ + 8x² + 25x² + 200 + 6x³+ 150x

Regroup terms into two proportional parts: (x⁴ + 8x²) + (25x² + 200) + 6x³ 150x

Factor Greatest Common Factors out: x²(x² + 8 ) + 25(x² + 8) + 6x³ +150x

Factor Greatest Common Factors out:

(x² + 8 )(x² +25 ) + (6x³ + 150 )

Rewrite the term: (x² +25 )(x² + 2x + 4x + 8)

Regroup terms into two proportional parts: (x² + 25 ){(x + 2x ) + (4x +8)}

Factor Greatest Common Factors out: ( x² + 25 ){(x(x + 2)  + 4(x + 2)}

Factor Greatest Common Factors out: (x² + 25 )(x + 2)(x + 4)

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ2

Answer:

2:3

16:24

400:600

Step-by-step explanation:

divide 2 and you get 2:3

multiply 4 and get 16:24

multiply 100 and get 400:600

Answer:

The probability that a student in this survey says something other than that he or she needs a vacation is:

= 58%.

Step-by-step explanation:

The probability of the teens at the local high school in Oregon who said that they needed a vacation = 42%,

Therefore, the probability that a student in the same survey says something other than that he or she needs a vacation must be 58% (100% - 42%).

Probability calculates the frequency of the occurrences of an event.

Answer:

It should be in quadrant 1

Step-by-step explanation:

The quadrants of a coordinate plane can be counted counter-clockwise starting from quadrant 1, if you know the exact point you're trying to find, you can use the x and y to figure out which quadrant it's in.

If the x and y values are both positive, the point is in quadrant 1.

If the x value is negative and the y value is positive, the point is in quadrant 2.

If the x and y values are both negative, the point is in quadrant 3.

If the x value is positive and the y value is negative, the point is in quadrant 4.

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Length of each side of the square (s) = 8 cm

Area of the square (a) = ?

[tex]a = s {}^{2} \\ a = 8 {}^{2} \\ a = 8 \times 8 \\ a = 64 \: \: cm {}^{2} [/tex]

✐ Area of the square is 64 square centimetres.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

i think the answer is 35° because the triangles are congruent to each other

Answer:

The answer is below

Step-by-step explanation:

The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.

Therefore:

∠MON = ∠MOP + ∠NOP (angle addition postulate)

Substituting values gives:

124 = (2x + 1) + (2x + 1)

124 = 2x + 2x + 1 + 1

124 = 4x + 2

subtracting 2 from both sides of the equation:

124 - 2 = 4x + 2 - 2

4x = 122

Dividing through by 4:

4x / 4 = 122 / 4

x = 30.5

Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°

∠MOP = 62°, ∠NOP = 62°

Answer:

a = 79

Step-by-step explanation:

The two angles from a straight line which is 180 degrees

a+101  =180

Subtract 101 from each side

a = 180-101

a = 79

Answer:

1

Step-by-step explanation:

12 - 2 + 3 = 13

13 - 12 = 1

Answer:

-1

Step-by-step explanation:

she must walk down 1 flight of stairs

Answer:

B.  8.384 to 11.616

Step-by-step explanation:

We have

mean = 10

s = 4

n =  26

the degrees of freedom = n-1

= 26 - 1 = 25

α = 1-95%

= 1 - 0.95

= 0.05

α/2 = 0.05/2 = 0.025

using the t table

t0.025, 25 = 2.06

we find the margin of error

t * s/√n

= 2.06 * 4/√26

= 1.616

10-1.616 < μ < 10+1.616

= 8.384<μ<11.616

therefore option b is the right solution

Answer:

24.

[tex] log_{2}(9) \\ = log_{2}(3) {}^{2} \\ = 3 log_{2}(3) \\ = \frac{3 log(3) }{ log(2) } \\ = 4.75[/tex]

25.

[tex]5. {9}^{x} = 12.48 \\ {9}^{x} = 2.496 \\ x log(9) = log(2.496) \\ x = \frac{ log(2.496) }{ log(9) } \\ x = 0.42[/tex]

26.

[tex]4 + 9. ln(x) = 15.8 \\ ln(x) = \frac{15.8 - 4}{9} \\ ln(x) = 1.311 \\ x = e {}^{1.311} \\ x = 3.71[/tex]

Answer:

[tex]\left|5\right|+\left|-7\right|[/tex]

[tex]rule =a,\:a\ge 0[/tex]

[tex]|5|=5[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]

[tex]\left|-7\right|=7[/tex]

[tex]5+7=[/tex]

[tex]12[/tex]

hope this helps you..

Answer:

5.4

Step-by-step explanation:

3x + 2x = 5x

27 divided by 5 = 5.4

Substitute into both expressions

Answer:

[tex]6.283185307[/tex]

Step-by-step explanation:

[tex]Formula - C = 2\pi r[/tex]

[tex]Formula = 2*\pi*1 = 6.283185307[/tex]

Answer:

C≈6

Step-by-step explanation:

remember circumference formula

[tex] \displaystyle C = 2\pi r[/tex]

given that,r=1 thus substitute:

[tex] \displaystyle C = 2\pi .1[/tex]

simplify mutilation:

[tex] \displaystyle C = 2\pi [/tex]

substitute the given value of π:

[tex] \displaystyle C = 2.3[/tex]

simplify multiplication:

[tex] \displaystyle C = 6[/tex]

and we are done!

Answer:

66.99 cm³

Step-by-step explanation:

the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3

= 66.99 cm³

Answer:

6 × ¼ is NOT EQUAL TO 6 × ¾

8 × ²/4 is NOT EQUAL TO 6 × ¾

18/(2 × 2) is EQUAL TO 6 × ¾

Step-by-step explanation:

Given 6 * ¾,

We're asked to determine if each of the given expressions is equal or not equal to 6 * ¾.

Let's evaluate 6 * ¾

6 × ¾ = (6×3)/4 = 18/4 = 4.5

Now, let's compare each expression given to determine if it is equal or not

✔️6 × ¼ = (6×1)/4 = 6/4 = 1.5

Therefore,

6 × ¼ is NOT EQUAL TO 6 × ¾

✔️8 × ²/4 = (8×2)/4 = 16/4 = 4

Therefore,

8 × ²/4 is NOT EQUAL TO 6 × ¾

✔️18/(2 × 2) = 18/4 = 4.5

Therefore,

18/(2 × 2) is EQUAL TO 6 × ¾

Answer:

Hello answer: x = 5

Step-by-step explanation:

The pictures a bit blurry but if I read correctly the answer is 5

Hope that helps!

Answer:

[tex]pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} [/tex]

Answer:

b. 130

Step-by-step explanation:

the correct answer is 130

i am so sorry me dont know

Answer:

Answer: Composite figure: 360 ft3

Explanation:

The volume of the triangular prism:

The base area of the prism = 1/2 x 4 x 6 = 12 ft2

Height = 6 ft

The volume of the triangular prism = 12 x 6 = 72 ft3

The volume of the rectangular prism:

The base area of the prism = 4 x 6 = 24 ft2

Height = 12 ft

The volume of the triangular prism = 12 x 24 = 288 ft3

Volume of the composite figure = (288 + 72)ft3 = 360 ft3

Step-by-step explanation:

Answer:

190 ft^2

Step-by-step explanation:

So first we need to find which equation we're using and since it's a rectangular prism we're going to use:

2Lw + 2wh + 2Lh

Now what we need to do is plug in the values

2*9*2 + 2*2*7 + 2*9*7

Now just multiply everything and then add it together.

36 + 28 + 126

Once you add everything together you get:

190

The question says to include the correct unit. It says that its feet, but we need to know if its feet squared (^2) or cubed (^3)

If it were area of the whole object, it would be cubed because it is all the area that the object takes up but since it's just the area of the surface it's going to be squared. Therefore, the answer is:

190 ft^2

Answer:

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.

Step-by-step explanation:

An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075.

This means that:

[tex]x + 100y \geq 1075[/tex]

In which x is the GMAT score and y is the GPA.

Robbin's GMAT score was 800.

This means that [tex]x = 800[/tex]

What must her grade point average be in order to be unconditionally accepted into the​ program?

We have to solve the inequality for y. So

[tex]x + 100y \geq 1075[/tex]

[tex]800 + 100y \geq 1075[/tex]

[tex]100y \geq 275[/tex]

[tex]y \geq \frac{275}{100}[/tex]

[tex]y \geq 2.75[/tex]

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.

Given:

The equation is:

[tex](5+x)(5-x)=7[/tex]

To find:

The value of A, B and C for the equation's general form.

Solution:

We have,

[tex](5+x)(5-x)=7[/tex]

Using distribution property, we get

[tex](5)(5)+(5)(-x)+(x)(5)+(x)(-x)=7[/tex]

[tex]25-5x+5x-x^2=7[/tex]

[tex]25-x^2=7[/tex]

Taking all terms on one side, we get

[tex]25-x^2-7=0[/tex]

[tex]-x^2+18=0[/tex]

[tex]-(x^2-18)=0[/tex]

[tex]x^2-18=0[/tex]

On comparing this equation with the general form of a quadratic equation [tex]Ax^2+Bx+C=0[/tex], we get

[tex]A=1[/tex]

[tex]B=0[/tex]

[tex]C=-18[/tex]

Therefore, the correct option is 1.