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mart [117]
3 years ago
7

−15x+60≤105 AND14x+11≤−31

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0

Answer:

-15x<=45 and 14x<=-42

x>=45/-15 and x<=-42/14

x>=-3 and x<=-3

so x=-3

Step-by-step explanation:

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In a​ study, researchers wanted to measure the effect of alcohol on the hippocampal​ region, the portion of the brain responsibl
schepotkina [342]

Answer:

t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28    

The degrees of freedom are given by

df=n-1=17-1=16  

The p value would be given by this probability:

p_v =P(t_{(16)}  

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

Step-by-step explanation:

Information given

\bar X=8.19 cm^3 represent the sample mean

s=0.8 cm^3 represent the sample deviation

n=17 sample size  

\mu_o =9.02 represent the value to verify

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value

System of hypothesis to check

We want to check if the true mean is less than the normal value of 9.02 cm^3, the system of hypothesis would be:  

Null hypothesis:\mu \geq 9.02  

Alternative hypothesis:\mu < 9.02  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28    

The degrees of freedom are given by

df=n-1=17-1=16  

The p value would be given by this probability:

p_v =P(t_{(16)}  

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

6 0
3 years ago
What fraction of the female children will have hemophilia​
Effectus [21]
A woman who is a carrier has: a 25% (one in four) chance of having a daughter who is a carrier. a 25% chance of having a son with hemophilia. and a 50% chance of having a child (boy or girl) who does not have the gene for hemophilia at all
7 0
3 years ago
Solve for n<br><br>m = -2n-3/kn ​
Gekata [30.6K]

Answer:

n=\frac{-km}{2k+3}

Step-by-step explanation:

n=-km/2k+3

Hope this helps!

7 0
3 years ago
Area of Square = 45 cm?<br> What is the perimeter?
9966 [12]
It’s 9 centimeters long
4 0
3 years ago
which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio
Brut [27]

Answer:

The vertex of the function is the point (-3,-13)

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

f(x)=6x-4+x^{2}

<u>1) Convert to vertex form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)+4=x^{2}+6x

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)+4+9=x^{2}+6x+9

f(x)+13=x^{2}+6x+9

Rewrite as perfect squares

f(x)+13=(x+3)^{2}

f(x)=(x+3)^{2}-13 -----> function in vertex form

<u>2) Find the vertex</u>

The vertex of the function is the point (-3,-13)

<u>3) Find the axis of symmetry</u>

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to x=-3

therefore

the equation of the axis of symmetry is  x=-3

<u>4) Find the increase-decrease intervals</u>

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

<u>5) Find the x-intercepts of the function</u>

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are  

(-6.61,0) and (0.61,0)

so

The function cross the x-axis twice

see the attached figure

5 0
4 years ago
Read 2 more answers
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