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LUCKY_DIMON [66]
3 years ago
10

98 Points! Answer Quick!

Mathematics
2 answers:
timama [110]3 years ago
7 0

Reason:

2. SD ⊥ HT. ∴ ∠SDH = ∠SDT =90°

3. Given (It is given in the question)

5. RHS congruence

(Here, the right angle, hypotenuse and one side of ΔSHD is congruent to that of ΔSTD).

Statement:

4. Line segment SD = SD

(Reflexive property is used to prove congruence of triangles. This property is used when an angle or line segment is congruent to itself.)


Lina20 [59]3 years ago
6 0

Answer:

2. SD ⊥ HT. ∴ ∠SH = ∠ST =90° 3.

Step-by-step explanation:

Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and the corresponding side of the other triangle.

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Solve this quadratic equation<br><img src="https://tex.z-dn.net/?f=3a%20%7B%7D%5E%7B2%7D%20-%204%20%2B%201" id="TexFormula1" tit
ivann1987 [24]

Answer:

1 and 1/3

Step-by-step explanation:

3a² -4a +1 = 0

3a²- 3a - a+ 1= 0

3a(a-1) - (a-1)= 0

(a-1)(3a -1)= 0

a-1= 0 ⇒ a= 1

3a - 1= 0 ⇒ 3a= 1 ⇒ a= 1/3

5 0
2 years ago
Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11 . (1 point)
Luden [163]
Answer: negative 9 square root of 11
explanation:
5√11 - 12√11 - 2√11
collect like terms by calculating the sum or difference of their coefficients:
(5-12-2) √11
(5-12-2) = (5-14) = -9
so, -9√11
5 0
3 years ago
Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa
blagie [28]

Answer:

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

p_v =P(z>1.9)=0.0287  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=12.95 represent the sample mean

\sigma=3 represent the population standard deviation for the sample  

n=36 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:  

Null hypothesis:\mu \leq 12  

Alternative hypothesis:\mu > 12  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

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

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

P-value  

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

p_v =P(z>1.9)=0.0287  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

4 0
3 years ago
Read 2 more answers
A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sam
Hitman42 [59]

Answer:

The probability of cured people in who took the remedy is 8/9.

Step-by-step explanation:

Success rate of the cold remedy = 88%

The number of people who took the remedy = 45

Now, 88% of 45 = \frac{88}{100}  \times 45 = 39.6

and 39.6 ≈ 40

So, out of 45 people, the remedy worked on total 40 people.

Now, let E: Event of people being cured by cold remedy

Favorable outcomes = 40

\textrm{Probability of Event E}  = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total outcomes}}

or, \textrm{Probability of people getting cured}  = \frac{\textrm{40}}{\textrm{45}}  = \frac{8}{9}

Hence, the probability of cured people in who took the remedy is 8/9.

3 0
2 years ago
Find the perimeter of a rectangle with dimensions 12 feet and 15 feet
Ronch [10]

Answer:

The perimeter is 54 square units

Step-by-step explanation:

You find the sum of 12+12 and that's 24, and 15+15, and that is 30, and 30+24 is 54.

Hope this helped!

8 0
3 years ago
Read 2 more answers
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