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Orlov [11]
3 years ago
15

Yo can anybody please help me answer this question

Mathematics
1 answer:
KIM [24]3 years ago
7 0

Answer:

45

Step-by-step explanation:

by the definition of an isocoles triangle, defined by having two congruent sides,  (p-s, r-s), angles SPR and SRP are congruent. by the triangle sum theorem, (internal angles + to 180˚) 90˚ + 2a = 180˚. 2a =90, a = 45

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A lathe is set to cut bars of steel into lengths of 6 cm. The lathe is considered to be in perfect adjustment if the average len
Gnom [1K]

Answer:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

df=n-1=93-1=92  

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

Step-by-step explanation:

Information provided

\bar X=5.97 represent the sample mean for the length

s=0.4 represent the sample standard deviation

n=93 sample size  

\mu_o =6 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:  

Null hypothesis:\mu = 6  

Alternative hypothesis:\mu \neq 6  

since we don't know the population deviation the statistic is:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing in formula (1) we got:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

P value

The degrees of freedom are given by:

df=n-1=93-1=92  

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

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

5 0
3 years ago
If the zeros are 1 and -4, what are the factors?
Natali5045456 [20]

Answer:

(x - 1) and (x + 4)

Step-by-step explanation:

Given the zeros of a polynomial, say x = a, x = b then the factors are

(x - a), (x - b) and the polynomial is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the zeros are x = 1 and x = - 4, thus the factors are

(x - 1) and (x - (- 4)), that is (x - 1) and (x + 4)

5 0
3 years ago
How do you do simplify this -9 -11
zheka24 [161]

Answer:

-9 + -11=-20

Step-by-step explanation:

Since subtracting is the same as addition of the oppositie, just putting a negative symbol is easier because you are only working with negative numbers, instead of one negative and one positive.

Did that help?

7 0
3 years ago
Read 2 more answers
I need help with linear inequalities one question. the question is -7x-86 less than -93.
Andreyy89
-7x<-93+86
-7x<-7
x>1 is the answer

DO YOU NEED TO GRAPH TOO? 
5 0
3 years ago
Penny reads 10 pages in 1/2
sveticcg [70]

Answer:

she would read 20 pages in 1 whole hour

7 0
2 years ago
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