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Rainbow [258]
2 years ago
12

Evaluate log 473 round to the nearest hundredth

Mathematics
1 answer:
lesya [120]2 years ago
3 0

Answer:

473 rounded to the nearest hundredth, would be 400.

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There are 75 boys in the sixth grade. The ratio of girls to boys is 7 to 5. How many girls are there in sixth grade?
kolbaska11 [484]
There are 105 in 6th grade because there are 75 boys right? So it said the ratio of girls is 7 and the ratio of boys is 5 so I divided 75 to 5 = 15 and I multiply 7 to 15 and got 105 girls.
8 0
3 years ago
The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience h
Ganezh [65]

Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

P = P(Z > 0.75) = 0.22663

α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

-0.684 ÷ 0.8 = 0.75

= - 0.855

P(Z < - 0.855) = 0.1963 (Z probability calculator).

95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

8 0
2 years ago
From his house, Tom rides his bike 5 kilometers east to the store. He then rides his bike 2 kilometers west to his friends house
mario62 [17]

Answer:

3 km

Step-by-step explanation:

He starts by going 5 km east, then he turns around and goes 2 km west. So he is now 3 km from his house.

7 0
2 years ago
A. 36*6*6*6<br>B. 6*5<br>C. 25*5*5*5<br>D. 125*125​
mel-nik [20]
5^6= 15625
A= 7776
B= 30
C= 3125
D= 15625
Answer: D
7 0
2 years ago
Find the value of x and z
Andrew [12]

Answer:

z+150=180

z=30

then again

x+x+20+30=180

2x=180-50

2x=130

x=130/2

x=65

Step-by-step explanation:

x

7 0
3 years ago
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