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makvit [3.9K]
3 years ago
10

Hazel ran 7/10 mile. She took a break for water and then ran some more. In all, she ran

Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0

Answer:

Step-by-step explanation:

How you do it is you take 1 and 1/2 and make it a mixed nummber and then subtraced it from 7/10 like this

15/10  - 7/10 =  8/10 so she ram 8/10 more miles after her water break.

vodomira [7]3 years ago
7 0

Answer: 4/5

Step-by-step explanation: 1/10 is equivalent to 1, add 3/10 to 7/10 and we have 1. Now 1/2 is equal to 5/10, 5/10+3/10 is 8/10, but we need to simplify that, which is 4/5

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A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying techn
tester [92]

Answer:

a) We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:p=0.35  

Alternative hypothesis:p \neq 0.35  

And is a two tailed test

b) z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326  

c) p_v =2*P(z  

d) Null hypothesis:p=0.35  

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

\hat p=\frac{522}{1562}=0.334 estimated proportion of people who have heard of a new electronic reader

p_o=0.35 is the value to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Part a

We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:p=0.35  

Alternative hypothesis:p \neq 0.35  

And is a two tailed test

Part b

The statistic for this case is given :

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326  

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

p_v =2*P(z  

Part d

The null hypothesis for this case would be:

Null hypothesis:p=0.35  

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

5 0
3 years ago
My car travels an average 12.3 km on each litre of petrol. What distance willI travel on 105 litres? *
Jobisdone [24]

Answer:

1291.5km

Step-by-step explanation:

12.3*105=1291.5km

3 0
3 years ago
A circle has a diameter that measures 8 inches What is the area of the circle to the nearest 10th use 3.14 for pi
Tomtit [17]

The area of a circle can be calculated by formula πr^2...

radius(r)=4inches

therefore,

Area(A)=3.14×4

=12.56

7 0
3 years ago
If the perimeter of a rectangle is 42 cm and the area is 98 square cm, then what are the dimensions of the rectangle?
Natalka [10]

we are given that the perimeter of the rectangle is 42cm

the formula for the perimeter of the rectangle is 2(l+b)

where l= length and b=breadth

so,

equating the above two equations we get

2(l+b)=42

(l+b)=42/2

l+b=21..........................(1)

we are given the area of the rectangle to be 98sq cm

the formula for the area of the rectangle is l*b.

so,

equating the above two equations we get

l*b=98

l=98/b

equating the above equation in equation 1 in we get,

98/b +b=21

(98+b²)/b=21

98+b²=21b

b²- 21b + 98 = 0

(b-7)(b-14)=0

thus we have

b-7=0

b=7

and

b-14=0

b=14

equating both the values of b in equation (1)

when b=7

l+b=21

l+7=21

l=21-7

l=14

and

when b=14

l+b=21

l+14=21

l=21-14

l=7

since breath, can't be longer than length, thus b=7 and l=14.

thus the rectangle has a length of 14 cm and a breath of 7cm

Define the length and breadth/width of a rectangle.

Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.

to learn more about parameters and areas visit:

brainly.com/question/19819849

#SPJ9

7 0
1 year ago
NEED ANSWER ASAP PLSSSS
Rashid [163]

Answer:

\angle CBF

\angle GBE

Step-by-step explanation:

\angle CBF is supplementary to \angle CBE

m\angle CBF +  \angle CBE = 180\degree

\angle GBE is also supplementary to \angle CBE

m\angle GBF +  \angle CBE = 180\degree

8 0
3 years ago
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