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3 years ago

Find the value of x.

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

Answer:

It would probaly be 10

Step-by-step explanation:

Remember A scaling triangle has different numbers for every side

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Solve the system of equations. I need the answer today<br> x=2-y<br> x-2y-11=0

mel-nik [20]

Answer:

(5, -3)

Step-by-step explanation:

if x=2-y then 2-y-2y-11=0

-3y-9=0

-3y=9

y= -3

x= 2+3=5

3 0

2 years ago

The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 11 nursing s

Fofino [41]

Answer:

There is enough evidence to claim that population mean 1 is less than population 2 at the 0.05 significance level.

Step-by-step explanation:

We are given the following in the question:

Group 1:

$\mu_1 = 63.3\\\sigma_1 = 3.7\\n_1 = 11$

Group 2:

$\mu_2 = 70.2\\\sigma_2 = 6.6\\n_2 = 13$

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

$H_{0}: \mu_1 \geq \mu_2\\H_A: \mu_1 < \mu_2$

Since, the population variances are equal and that the two populations are normally distributed, we use t-test(pooled test) for difference of two means.

Formula:

Pooled standard deviation

$s_p = \sqrt{\displaystyle\frac{(n_1-1)\sigma_1^2 + (n_2-1)\sigma_2^2 }{n_1 + n_2 - 2}}$

$t_{stat} = \displaystyle\frac{\mu_1-\mu_2}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

$\text{Degree of freedom} = n_1 + n_2 - 2$

Putting all the values we get:

$s_p = \sqrt{\displaystyle\frac{(11-1)(3.7)^2 + (13-1)(6.6)^2 }{11 + 13 - 2}} = \sqrt{29.9827} = 5.48$

$t_{stat} = \displaystyle\frac{63.3-70.2}{5.48\sqrt{\frac{1}{11}+\frac{1}{13}}} = -3.073$

$\text{Degree of freedom} = 11 + 13 - 2 = 22$

Now,

$t_{critical} \text{ at 0.05 level of significance, 22 degree of freedom } = -1.717$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.

We conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2.

There is enough evidence to claim that population mean 1 is less than population 2 at the 0.05 significance level.

6 0

3 years ago

Camryn practices the trumpet every 1 1 th 11 th 11, start superscript, start text, t, h, end text, end superscript day and the f

victus00 [196]

Answer:

33.

Step-by-step explanation:

Since they are both primes, the least common factor of 11 and 3 is 11 times 3, which is 33. Therefore, Camryn will practice the trumpet and flute on the same day 33 days in the future.

7 0

3 years ago

Find dydx for xy+x+y=6. Differentiate both sides of the equation with respect to x, and then solve for dydx. Do not substitute f

velikii [3]

Answer:

$\frac{dy}{dx}=-\frac{y+1}{x+1}$