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inna [77]
1 year ago
8

coeper below has a congruent sectionsSarah will spin the arrow on the spinner twice. What is the probability that the arrow will

landon a shaded section of the spinner on both spinsA1.5 Shorded7 non-SharedсD2549

Mathematics
1 answer:
oee [108]1 year ago
8 0

The probability can be expressed as :

Probability=\frac{\text{ Shaded Sections}}{\text{ Total Sections}}

The number of shaded sections is 5.

The number of total sections is 12.

In one spin, the probability is :

\text{Probability =}\frac{5}{12}

Every spin has the same probability of landing on shaded area. Since Sarah spins the spinner twice. The probability now will be :

\text{Probability}=\frac{5}{12}\cdot\frac{5}{12}=\frac{25}{144}

The answer is a :

\frac{25}{144}

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Use the figures below to answer parts A and B​
Aneli [31]

Answer: 7 is 3216.99cm²

7 part b is 24.31 rounded the answer is 24.

5 0
3 years ago
An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining.
Tanya [424]

Answer:

98%  Confidencce Interval is ( 3030.6, 7467.4 )

Step-by-step explanation:

Given that:

Sample size n_1 = 71

Sample size n_2 = 31

Sample mean \overline x_1 = 41628

Sample mean x_2 = 36,379

Population standard deviation \sigma_1 = 4934

Population standard deviation \sigma_2 = 4180

At 98% confidence interval level, the level of significcance = 1 - 0.98 = 0.02

Critical value at z_{0.02/2} = 2.33

The Margin of Error = z \times \sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2} }

= 2.33 \times \sqrt{\dfrac{4934^2}{71}+\dfrac{4180^2}{31} }

= 2.33 \times \sqrt{\dfrac{24344356}{71}+\dfrac{17472400}{31} }

= 2.33 \times \sqrt{906504.06 }

= 2218.40

The Lower limit = ( \overline x_1 - \overline x_2) - (Margin \ of \ error)

= ( 41628 - 36379 ) - ( 2218.40)

= 5249 - 2218.40

= 3030.6

The upper limit = ( \overline x_1 - \overline x_2) + (Margin \ of \ error)

= ( 41628 - 36379 ) + ( 2218.40)

= 5249 + 2218.40

= 7467.4

∴  98%  Confidencce Interval is ( 3030.6, 7467.4 )

5 0
3 years ago
I don’t understand question b can somebody explain it for me?
amid [387]
If Gabrielle takes 19 minutes to run 2 miles then how much time does he take to complete 1 mile.

The above is the ‘b’ question.

We can get to know who long he takes to complete 1 mile taking the mean of the two in the double number line.

In this case it would be, the mean if 2 to get 1 and the mean of 19,

The mean of 2 is,

2miles / 2 = 1 mile.

And the mean of 19 mins is,

19 mins / 2 = 9.5 mins.

Hence, Gabrielle takes 9.5 mins to complete 1 mile.

Hope this helps you. Plz let me know if you have any doubts.

4 0
3 years ago
Read 2 more answers
What is the value of this expression?<br> (23 – 3) + (6 x 9)
Semmy [17]

Answer:

74

Step-by-step explanation:

(23-3)+(6×9)

(20) +(54)

=74

6 0
2 years ago
What is 3.56 expressed as a fraction?
zhuklara [117]
The answer I got is 3 \frac{14}{25 }
8 0
3 years ago
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