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Virty [35]
2 years ago
10

How do you write f(x)=-5x^2-100x+8in vertex form?​

Mathematics
1 answer:
goblinko [34]2 years ago
6 0
Vertex form is:
f(x) = -5(x+10)^2 + 508
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The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr
IgorC [24]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the population mean.

As per given , we have

H_0:\mu \leq4\\\\ H_a: \mu >4

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given \sigma=1 , so we perform one-tailed z-test.

Test statistic : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \mu = Population mean

\sigma = Population standard deviation

n= sample size

\overline{x} = Sample mean

For n= 18 , \overline{x}=4.50 , \sigma=1 , \mu =4, we have

z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12)  [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0
3 years ago
A farmer makes a pen for his animals with a total perimeter of 46 feet. (see diagram)
ratelena [41]
Yes I love this problem so good
5 0
3 years ago
Please help me it’s a formative grade
sergejj [24]

Answer:

Step-by-step explanation: 800/x=100/17

(800/x)*x=(100/17)*x       - we multiply both sides of the equation by x

800=5.88235294118*x       - we divide both sides of the equation by (5.88235294118) to get x

800/5.88235294118=x

136=x

x=136

83% of 800=664

5 0
3 years ago
A rectangular window has a length of 81.47 cm and a width of 34.2 cm. What is the least precise measurement of the perimeter of
alexgriva [62]

Answer:

In our case the least precise is the one with no decimal units, in our case 231 cm

Step-by-step explanation:

Perimeter=2(L+w)

where;

L=length=81.47 cm

W=width=34.2 cm

Replacing;

Perimeter=2(81.47+34.2)=231.34 cm

The most precise is the one with the highest decimal units, for example 231.34 in our case the least precise is the one with no decimal units, in our case 231

8 0
3 years ago
Eight less a number is less than or equal to seventeen
allsm [11]

Answer:

n ≥ -9  

Step-by-step explanation:

Let n = the number

8 <em>less than</em> a number means "n – 8", but

8 <em>less</em> a number means "8 – n," so

8 – n ≤ 17     Subtract 8 from each side

    -n ≤ 9      Multiply each side by -1

    n ≥ -9

<em>Note</em>: When we multiply by a negative number, we must reverse the inequality.

<em>Check:</em>

Try n = -8.

8 – (-8) ≤ 17

  8 + 8 ≤ 17

       16 ≤ 17

<em>True</em>.

8 0
3 years ago
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