All categories

3 years ago

Are the following similar? Why or why not

Mathematics

2 answers:

galben [10]3 years ago

6 0

Answer:

yes

Explanation:

the ratios of the corresponding sides are equal: 3/2

the corresponding angles are equal

SVETLANKA909090 [29]3 years ago

3 0

9514 1404 393

Answer:

(a) Yes

Step-by-step explanation:

Two angles of one triangle have the same measures as two angles of the other triangle. The triangles are similar by the AA similarity postulate.

You might be interested in

HURRY I NEED THIS BEFORE 12

I am Lyosha [343]

X=8 because add 11 to both sides and it becomes 28=3.5x and divide both sides by 3.5 so x=8

5 0

3 years ago

David's bowling score is 6 less than 2 times Aaron's score. The sum of their scores is 84. Find the score of each student. Use t

Y_Kistochka [10]

Answer:

Aaron's bowling score is 30

David's bowling score is 54

Step-by-step explanation:

The variable representing Aaron's score is = a

The variable representing David's bowling score = d

The sum of their scores is 84.

= a + d = 84...... Equation 1

David's bowling score is 6 less than 2 times Aaron's score.

d = 2a - 6

Substituting 2a - 6 for d in Equation 1

a + 2a - 6 = 84

3a - 6 = 84

3a = 84 + 6

3a = 90

a = 90/3

a = 30

Hence, Aaron's bowling score is 30

d = 2a - 6

d = 2(30) - 6

d = 60 - 6

d = 54

David's bowling score is 54

8 0

2 years ago

A pharmaceutical company is conducting a study on whether or not their new vaccine is effective in preventing chicken pox. The r

Fed [463]

Answer:

The answer is "Type 1 error".

Step-by-step explanation:

The error of type I, frequently known as a 'false positive': its error in judgment that perhaps a null hypothesis is simply rejected. This is the mistake of accepting a possible (actual interest hypothesis) hypothesis whenever the results could be attributed to chance since the researchers deny, if valid, the null hypothesis.

5 0

2 years ago

The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. Two random samples from

Vinvika [58]

Answer:

$t=\frac{(810-770)-0}{\sqrt{\frac{67^2}{13}+\frac{56^2}{19}}}}=1.771$

$df=n_1 +n_2 -2=13+19-2=30$

Since is a right tailed test the p value would be:

$p_v =P(t_{30}>1.771)=0.0434$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for group 1 is significantly higher than the mean for the group 2

Step-by-step explanation:

Data given

$\bar X_{1}=810$ represent the mean for sample 1

$\bar X_{2}=770$ represent the mean for sample 2

$s_{1}=67$ represent the sample standard deviation for 1

$s_{2}=56$ represent the sample standard deviation for 2

$n_{1}=13$ sample size for the group 2

$n_{2}=19$ sample size for the group 2

$\alpha=0.05$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for category 1 is higher than the mean for category 2, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}\leq 0$

Alternative hypothesis: $\mu_{1} - \mu_{2}> 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=13+19-2=30$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(810-770)-0}{\sqrt{\frac{67^2}{13}+\frac{56^2}{19}}}}=1.771$

P value

Since is a right tailed test the p value would be:

$p_v =P(t_{30}>1.771)=0.0434$

4 0

3 years ago

What is 5 & 3/4% as a decimal

8_murik_8 [283]

5 and 3/5 is 5.75 as a decimal

7 0

3 years ago