How does a number line represent equivalent fractions and decimals?

Kelly drew the angle shown, which value is closest to measurement of Kelly's angle?

taurus [48]

Answer:

70°

Step-by-step explanation:

it's an acute angle so it couldn't be 110 since that would make it obtuse.

3 0

3 years ago

Read 2 more answers

Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t

PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, X be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

$P(X$

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

$P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673$

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0

3 years ago

Write 7.65040 x10-4 power in scientific notation

gizmo_the_mogwai [7]

It's already in scientific notation form;

Answer of your question,

3x+46 = 10x-80

7x = 34

x = 4.85

5 0

3 years ago

Help please! A. B. C. D.

elixir [45]

Answer:

D.

b = 175; which is the initial # of pages to start

Step-by-step explanation:

you can find the slope to find b or y-intercept (x=0) for equation

y=mx+b

to find m = (y2-y1)/(x2-x1)

(x1,y1) = (9, 100)

(x2, y2) = (15, 50)

m = (50-100) / (15-9) = -50/6 = -25/3

let use point (15, 50)

y=mx+b

50 = -25/3*x + b

50 = (-25/3)*(15) + b

50 = -125 + b

b = 175; which is the initial # of pages to start

3 0

3 years ago

Please find which quadratic equation matches the graph with work attached

lesya [120]

Answer:

C

Step-by-step explanation:

Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B

Next we can use the equation $x=\frac{-b}{2a}$ that is used in order to find the vertex of the parabola.

A)

$f(x)=-x^2+6x+7\\a=-1,b=6,c=7\\\\x=\frac{-6}{-2} \\x=3$

As the vertex is at x=3 on the graph, this one could be a contender.

C)

$f(x)=-x^2+6x-7\\a=-1,b=6, c=-7\\\\x=\frac{-6}{-2} \\\\x=3$

This also could be the equation

D)

$f(x)=-x^2-6x-7\\\\a=-1, b=-6, c=-7\\\\x=\frac{6}{-2} \\\\x=-3$

This rules option D out.

For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)

A)

$f(x)=-(x^2-6x-7)$

As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.

This means that option A can be ruled out

C)

$f(x)=-(x^2-6x+7)$

As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.

7 0

3 years ago