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Aleonysh [2.5K]
3 years ago
15

e" class="latex-formula">
Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer:

(x - 9)(x + 2)

Step-by-step explanation:

x² - 7x - 18

x² + 2x - 9x - 18

x(x + 2) - 9(x + 2)

(x - 9)(x + 2)

You might be interested in
A tunnel is cylindrical. The tunnel is 400 m long with radius 2.3 m.
pantera1 [17]

Answer:

6647.6 liters

Step-by-step explanation:

The volume of a cylinder with end area r and length (or height) h is

V = πr²h

If we substitute 2.3 m for r and 400 m for h, we get:

V = π(2.3 m)²(400 m) = 6647.6 m³ or 6647.6 liters

7 0
3 years ago
What is the supplementary and complementary angles of 48 degrees?
Nostrana [21]

-- Supplementary angles add up to 180 degrees.
48 + S = 180
        S = 180 - 48 = <em>132 degrees</em>

-- Complementary angles add up to 90 degrees.
48 + C = 90
        C = 90 - 48 = <em>42 degrees</em>


3 0
3 years ago
Read 2 more answers
How do you solve this?
liraira [26]

Answer: type in ggl search x² - x - 6

7 0
3 years ago
Read 2 more answers
Which set of numbers is correctly ordered from least to greatest?
kakasveta [241]

Answer:

First option.

===========================

Step-by-step explanation:

The given set of numbers are:

\frac{24\pi }{5} \ , \frac{63}{4} \ , 15.758 \ , 956\sqrt{e}

And it is required to order the set of numbers correctly from least to greatest.

The easiest way is to convert all numbers to decimal and comparing it.

\frac{24\pi }{5} =15.0796\\\frac{63}{4}=15.75\\ 956\sqrt{e} =1,576.178

So, The order from least to greatest is as following

\frac{24\pi }{5}  \ , \frac{63}{4} \ , 15.758 \ , 956\sqrt{e}

So, the correct answer is first option.

7 0
3 years ago
a regional manager is comparing customer satisfaction ratings at two of its stores. 100 customer rattings from each store are ra
zhuklara [117]

Answer:

Yes, there is a significant difference in customer satisfaction ratings at the two stores

The P-value is P=0.000.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The store A has a sample mean of 4.05 and a sample standard deviation of 0.039. The store B has a sample mean of 3.99 and a sample standard deviation of 0.025.</em>

We have to perform an hypothesis test for the difference between means.

The claim will state that satisfaction ratings differ. So, the null and alternative hypothesis are:

H_0: \mu_1-\mu2=0\\\\H_a: \mu_1-\mu2\neq0

being μ1: the actual staisfaction rating of store A, and μ2: the actual satisfaction rating of store B.

The significance level is 0.05.

We know that, for both samples, the sample size is n=100.

The difference between means is:

M_d=\mu_1-\mu_2=4.05-3.99=0.06

The standard error of the diffence between means is calculated as:

s_M=\sqrt{\dfrac{s_1^2+s_2^2}{n}}=\sqrt{\dfrac{0.039^2+0.025^2}{100}}=\sqrt{\dfrac{0.0021}{100}}=\sqrt{0.000021}=0.0046

The z-statistic can be calculated as:

z=\dfrac{M_d-(\mu_1-\mu_2)}{s_M}=\dfrac{0.06-0}{0.0046}=13.04

The P-value for this test statistic in a two tailed test is

P-value=2P(z>13.04)=0.000

The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

There is enough evidence that the customer satisfaction rating differs from store A to store B.

7 0
4 years ago
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