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4 years ago

14

Doris paid $316.80 for wallpaper to cover a 24 foot by 12 foot wall. She used all the wallpaper she purchased, with no waste or

overlap.
What was the cost of the wallpaper per square foot?

1 answer:

tatiyna4 years ago

4 0

The answer is $1.10 because if you divide and multiply by the other answers this answer is the only one that makes sense

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Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with

Arisa [49]

Answer:

1836 bacteria

Step-by-step explanation:

Now the data is a progression; 38,000, 33,820, 30,100 .........

We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

r= 33,820/38,000 = 30,100/33,820 = 0.89

So, for a geometric progression;

Un = ar^n-1

Where;

a = 38,000

r = 0.89

n = 27 days

Un = ???

Un = 38,000 * (0.89)^27 - 1

Un = 1836 bacteria

4 0

3 years ago

Im giving 100 Points to anyone who could solve this for me please.

myrzilka [38]

Answer:

AB = 27.2

BC = 33.5

AC = 50.4

∠A = 38°

∠ABC = 112°

Step-by-step explanation:

<u>Trigonometric ratios</u>

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

$\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}$

$\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}$

$\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)$

$\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}$

$\implies \sf BD=29\tan(30^{\circ})$

$\implies \sf BD=\dfrac{29\sqrt{3}}{3}$

$\implies \sf \sin(38^{\circ})=\dfrac{BD}{AB}$

$\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}$

$\implies \sf AB=27.2\:(nearest\:tenth)$

$\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}$

$\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}$

$\implies \sf AD=21.4\:(nearest\:tenth)$

$\implies \sf AC=AD+DC=21.4+29=50.4$

The interior angles of a triangle sum to 180°

⇒ ∠A + 52° + 90° = 180°

⇒ ∠A = 180° - 90° - 52°

⇒ ∠A = 38°

⇒ ∠ABC + 38° + 30° = 180°

⇒ ∠ABC = 180° - 38° - 30°

⇒ ∠ABC = 112°

**I have checked the measures using a graphing programme - see attached**

8 0

2 years ago

A normal distribution has a mean of 80.6 and a standard deviation of 13.9. Find the value where the lowest 5% of data ends.

Akimi4 [234]

Answer:

The lowest 5% of data ends at 57.73.

Step-by-step explanation:

Let the random variable <em>X</em> follow a Normal distribution with mean μ = 80.6 and standard deviation σ = 13.9.

The lowest 5% of the distribution can be expressed in terms of probability as follows:

$P(X$

Compute the value of <em>x</em> as follows:

$P(\frac{X-\mu}{\sigma}$

The <em>z</em> score such that P (Z < z) = 0.05 is <em>z</em> = -1.645.

**Use the <em>z-</em>table for the for the <em>z</em>-score.

The value of <em>x</em> is:

$z=\frac{x-\mu}{\sigma} \\-1.645=\frac{x-80.6}{13.9} \\x=80.6-(1.645\times13.9)\\=57.7345\\\approx57.73$

Thus, the lowest 5% of data ends at 57.73.

7 0

3 years ago

Need help ASAP !! Anyone get this question ?

OLEGan [10]

Answer:

1:3

Step-by-step explanation:

Down arrows: 4 out of 12

4:12

1:3

3 0

3 years ago

Read 2 more answers

What are the coordinates of p?<br><br> A.(0,5)<br> B.0,7<br> C.7,0<br> D.5,0

xxMikexx [17]

Answer:

(5,0)

Step-by-step explanation:

Count how many units are there on the x-axis first and in this case it is 5 the count how many on the y axis (going up or down) and that is 0 so then use this for the coordinate: (x,y)=(5,0)

7 0

3 years ago

Read 2 more answers