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2 years ago

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Which graph shows the solution set for Negative 1.1 x + 6.4 greater-than negative 1.3? A number line going from negative 10 to 0

. An open circle is at negative 7. Everything to the left of the circle is shaded. A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded. A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded. A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.

2 answers:

konstantin123 [22]2 years ago

8 0

Answer:

its c

Step-by-step explanation:

took exam

Rufina [12.5K]2 years ago

4 0

Answer:

A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.

Step-by-step explanation:

We have the following inequality:

-1.1x + 6.4 > -1.3

to solve it, we need to isolate x, as follows:

-1.1x > -1.3 - 6.4

-1.1x > -7.7

x < -7.7/-1.1 (notice that while dividing with a negative number, the sign changes)

x < 7

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A probability calculator is required on this problem; answer to six decimal places. Suppose we will spin the wheel pictured 400

KiRa [710]

Answer:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=400, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=400*0.2=80 \geq 10$

$n(1-p)=400*(1-0.2)=320 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=400*0.2=80$

$\sigma=\sqrt{np(1-p)}=\sqrt{400*0.2(1-0.2)}=8$

So then we can approximate the random variable as $X \sim N(\mu = 80, \sigma = 8)$

And we want this probability:

$P(90< X< 110)$

We can use the z score formula given by:

$z = \frac{x -\mu}{\sigma}$

And replacing we got:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

8 0

2 years ago

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel

Liula [17]

Answer:

Option A is correct.

y = 35.4 bushels per acre when rainfall = 7.1 inches

Step-by-step explanation:

An image of the steps to obtain the equation that relates x to y is attached to this answer.

n = number of variables = 9

μₓ = mean of variable x (rainfall in inches)

μᵧ = mean of variable y (yield in bushels per acre)

σₓ = standard deviation of variable x (rainfall in inches)

σᵧ = standard deviation of variable y (yield in bushels per acre)

y = 4.379x + 4.268

when x = 7.1

y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.

7 0

2 years ago

Cora is playing a game that involves flipping three coins at once. Let the random variable HHH be the number of coins that land

arlik [135]

Answer:

0.875

Step-by-step explanation:

P(H=0) = 0.125

P(H=1) = 0.375

P(H=2) = 0.375

P(H=3) = 0.125

P(H<3) = P(H=0) + P(H=1) + P(H=2)

P(H<3) = 0.125 + 0.375 + 0.375

P(H<3) = 0.875

4 0

2 years ago

Read 2 more answers

In 2009, a brand new SUV cost $35,000 to drive off the lot. In 2012 that same SUV was valued at $22,500. Write an exponential eq

lesya [120]

-$12,500 every 4 years

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2 years ago

What type of triangle has side lengths 12, 13, and 2√3?

Travka [436]

Answer:

The triangle is an obtuse scalene triangle

Step-by-step explanation:

we know that

if $c^{2}=a^{2}+b^{2}$ --------> is a right triangle

if $c^{2}>a^{2}+b^{2}$ --------> is an obtuse triangle

if $c^{2}$ --------> is an acute triangle

where

c is the greater side

we have

$c=13\ units$

$a=12\ units$

$b=2\sqrt{3}\ units$

so

$c^{2}=13^{2}=169$

$a^{2}+b^{2}=12^{2}+(2\sqrt{3})^{2}=156$

so

$c^{2}>a^{2}+b^{2}$ -------> is an obtuse triangle

Remember that

The given triangle has three different length side

so

Is a scalene triangle

therefore

The triangle is an obtuse scalene triangle

4 0

2 years ago