Select the correct answer. What is this expression in simplest form? A. B. C. D.

AlexFokin [52]

Answer:

Step-by-step explanation:This Ratio Division Calculator allows you to divide an amount by a specific ratio. ... Alternatively, you can enter separate ratios for multi share ratio split of the ... 50% is a ratio expressed as a percentage; ½ is a ratio expressed as a fraction.

5 0

2 years ago

The height of an object tossed upward with an initial velocity of 120 feet per second is given by the formula h = −16t2 + 120t,

AleksAgata [21]

Answer:

7.5 seconds

Step-by-step explanation:

$h = - 16 {t}^{2} + 120t \\ \because \: we \: have \: to \: find \: the \: time \: required \: \\ for \: the \: object \: to \: return to \: its \: \\ point \: of departure. \\ \therefore \: plug \: h = 0 \: in \: the \: given \: euation. \\ \therefore \: 0 = - 16 {t}^{2} + 120t \\ \therefore \:16 {t}^{2} - 120t = 0 \\ \therefore \:8t(2t - 15) = 0 \\ \therefore \:8t = 0 \: \: or \: \: (2t - 15) = 0 \\ \therefore \:t = \frac{0}{8} \: or \: t = \frac{15}{2} \\ \therefore \:t = 0 \: or \: t = 7.5 \\ \because \: t = 0 \: is \: not \: possible \\ \huge \purple{ \boxed{ \therefore \: t = 7.5 \: seconds}}$

Thus, the time required for the object to return to its point of departure is 7.5 seconds.

4 0

2 years ago

If 65 percent of the population of a large community is in favor of a proposed rise in school taxes, approximate the probability

xz_007 [3.2K]

Answer: a) 0.99917 b) 0.7054 c) 0.9820

Step-by-step explanation:

Let X denotes the number of people are in favor of a proposed rise in school taxes.

Era re given that p(probability that a person is in favor of a proposed rise )= 0.65

Sample size : n= 100

Mean= np = 100(0.65)=65

Standard deviation: $\sigma=\sqrt{np(1-p)}\\\\=\sqrt{100(0.65)(0.35)}\\\\=4.76969600708\approx4.77$

a) Now, the probability that a random sample of 100 people will contain at least 50 who are in favor of the proposition :

$P(x\geq50)=P(\dfrac{x-\mu}{\sigma}\geq\dfrac{50-65}{4.77})\\\\=P(z\geq-3.144)\\\\=P(z-z)=P(Z$

b) between 60 and 70 inclusive who are in favor;

$P(60$

c) fewer than 75 in favor.

$P(x$

3 0

2 years ago

Please Help Me! [99 Points}

BabaBlast [244]

It's A. all you need to do is plug in the "n"-values for each equation and see if it is true. the only one that works is answer A.

3 0

2 years ago

Read 2 more answers

Marie made a model (shown below) of the square pyramid she plans to build when she grows up. Find the surface area of the model.

TEA [102]

Answer:

144m²

Step-by-step explanation:

The the model made by Marie is attached in the diagram below.

The square pyramid model that Marie has in mind of building has 4 congruent triangular faces on the four sides of the square pyramid, and 1 base square. Therefore the surface area of the square pyramid = area of the square + area of 4 triangles = b² + 4(1/2*b*h)

Given that b = 8, and h = 5, we have:

Surface area = 8² + 4(1/2*8*5)

= 64 + 4(20)

= 64 + 80

SA of the square pyramid = 144m²

3 0

2 years ago