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3 years ago

3x^2- 10x - 8 please help with this

Mathematics

2 answers:

fgiga [73]3 years ago

8 0

So why I now yes when she where it go to get the stuff

Nataly [62]3 years ago

4 0

B^2 - 4xaxc
a=3 b= -10 c= -8

(-10)^2 -4 x3 x (-8)

100 + 96

196

Sqrt(196) = 14

x1 = (-b-sqrt(196))/2a
x1= (10-14)/6
x1= -2/3

x2 = (-b+sqrt(196))/2a
x2 = (10+14)/2a
x2= 4

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Suppose it is known that the distribution of purchase amounts by customers entering a popular retail store is approximately norm

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Answer:

69.15% probability that a randomly selected customer spends less than $105 at this store

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 100, \sigma = 10$

What is the probability that a randomly selected customer spends less than $105 at this store?

This is the pvalue of Z when X = 105. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{105 - 100}{10}$

$Z = 0.5$

$Z = 0.5$ has a pvalue of 0.6915

69.15% probability that a randomly selected customer spends less than $105 at this store

7 0

3 years ago

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In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati

Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

$h=-16t^2+55t+4$

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

$40=-16t^2+55t+4$

$-16t^2+55t+4-40=0$

$-16t^2+55t-36=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+55t-36=0$

$a=-16\\b=55\\c=-36$

substitute in the formula

$x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}$

$x=\frac{-55\pm\sqrt{721}} {-32}$

$x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec$

$x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec$

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

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Alenkasestr [34]

Answer:

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Step-by-step explanation:

The radius is the distance between the center and any point on the circle.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the center (3, -3) and other point on the circle (7, 6).

Substitute:

$r=\sqrt{(6-(-3))^2+(7-3)^2}=\sqrt{9^2+4^2}=\sqrt{81+16}=\sqrt{97}$

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nataly862011 [7]

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