All categories

3 years ago

Determine the case of congruency based on the given information:

Mathematics

2 answers:

NeX [460]3 years ago

5 0

Answer:

Step-by-step explanation:

andreyandreev [35.5K]3 years ago

4 0

Answer:

ASA

Step-by-step explanation:

You might be interested in

Right triangle XYZ is drawn with a 23° angle. For right triangles with an angle of 23° the ratio of the leg adjacent the 23° ang

Alika [10]

Answer:

Step-by-step explanation:

In a right angled triangle :

Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio

For an angle of 23° and and adjacent leg of 46

Cos 23 = adjacent / hypotenus

Adjacent / hypotenus = 0.92

46 / hypotenus = 0.92

Hypotenus = 46 / 0.92

Hypotenus = 50

6 0

3 years ago

A paintball court charges an initial entrance fee plus a fixed price per ball.

m_a_m_a [10]

Answer : The cost of 10 balls will be, 13.5 dollars

Step-by-step explanation :

As we are given the following expression:

$P=0.80\times n+5.50$

where,

P = total price (in dollars)

n = number of balls used

Given:

n = number of balls used = 10

Now we have to determine the cost of 10 balls.

$P=0.80\times n+5.50$

$P=0.80\times (10)+5.50$

$P=8+5.50$

$P=13.5\$$

Thus, the cost of 10 balls will be, 13.5 dollars

4 0

3 years ago

A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the i

Lana71 [14]

Answer:

The null hypothesis is $H_o : \ \sigma^2 = 1.9$

The alternative hypothesis is $H_a : \ \sigma^2 \ne 1.9$

$X^2 = 13.74$

The decision rule is

Reject the null hypothesis

The conclusion is

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

Step-by-step explanation:

From the question we are are told that

The variance is $\sigma ^2 = 1.9$

The sample size is n = 30

The sample variance is $s^2 = 0.9$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \ \sigma^2 = 1.9$

The alternative hypothesis is $H_a : \ \sigma^2 \ne 1.9$

Generally the test statistics is mathematically represented as

$X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }$

=> $X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }$

=> $X^2 = 13.74$

Generally from the degree of freedom is mathematically represented as

$df = n- 1$

=> $df = 30 - 1$

=> $df = 29$

Generally from the chi distribution table the critical value of $\frac{\alpha}{2} \ and \ 1 - \frac{ \alpha }{2}$ at a degree of freedom of $df = 29$ is

$X^2 _{ \frac{\alpha }{2} , df } = X^2 _{ \frac{0.05 }{2} , 29 } = 45.7$

=> $X^2 _{ 1 - \frac{\alpha }{2} , df } = X^2 _{1 - \frac{0.05 }{2} , 29 } = 16.0 5$

Gnerally from the values obtained we see that

$X^2 < X^2 _{ 1 - \frac{\alpha }{2} , df }$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

6 0

3 years ago

Help please. i need it asap!

garri49 [273]

Answer:

$u = 8.27$

Step-by-step explanation:

$cross \: multi pling \: you \: have$

<h3>7×13=11U </h3><h3>making U subject of formula you have </h3><h3> 91= 11U </h3><h2>therefore U = 91/11= 8.97 </h2>

8 0

3 years ago

You spend 30 minutes watching television. You then spend 3 hours doing homework. Write the ratio of the amount of time spent wat

KonstantinChe [14]

It would be 10 because the answer would be a whole number but they requested to you to write it as a fraction in simplest form than you would right it like this 10/1 hope this helps !!

6 0

4 years ago