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LenaWriter [7]
3 years ago
13

Find the area of the shaded segment. Round your answer to the nearest tenth. Please include units in your answer.

Mathematics
1 answer:
RSB [31]3 years ago
6 0

Answer: 56

Step-by-step explanation:

Let's organise our information :

  • the radius of the circle is r=14 cm
  • we can get the area of the shaded by substracting the area of that triangle from that quarter

The area of the cercle's quarter area is :

  • A= 14²×π*(1/4) = 49π cm²

The area of the triangle is :

  • A=14²*(1/2)=98

NOw the area of the shaded segment :

  • A=49π-98= 55.98 ≈ 56

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Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yell
Tatiana [17]

Answer:

\frac{3}{4}

Step-by-step explanation:

Total number of red disk=6

Total number  of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability,P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}

Using the formula

The probability of getting odd number disk=\frac{4}{8}=\frac{1}{2}

The probability of getting odd numbered  red disk=\frac{3}{8}

The probability of selecting a red disk,given that an odd numbered disk is selected=\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}

Using conditional probability

P(A/B)=\frac{P(A\cap B)}{P(B)}

6 0
3 years ago
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken
Leviafan [203]

Answer:

a. H0:μ1≥μ2

Ha:μ1<μ2

b. t=-3.076

c. Rejection region=[tcalculated<−1.717]

Reject H0

Step-by-step explanation:

a)

As the score for group 1 is lower than group 2,

Null hypothesis: H0:μ1≥μ2

Alternative hypothesis: H1:μ1<μ2

b) t test statistic for equal variances

t=(xbar1-xbar2)-(μ1-μ2)/sqrt[{1/n1+1/n2}*{((n1-1)s1²+(n2-1)s2²)/n1+n2-2}

t=63.3-70.2/sqrt[{1/11+1/13}*{((11-1)3.7²+(13-1)6.6²)/11+13-2}

t=-6.9/sqrt[{0.091+0.077}{136.9+522.72/22}]

t=-3.076

c. α=0.05, df=22

t(0.05,22)=-1.717

The rejection region is t calculated<t critical value

t<-1.717

We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.

7 0
3 years ago
Help? Multi-Step Equations - Fractions. Solve the Equation.<br>PLEASE DO IT STEP BY STEP (visual)
GREYUIT [131]
R - 10/3 + 1/2 = -11/6...if u multiply everything by the common denominator 6, it will get rid of the fractions.

(6)r - 6(10/3) + 6(1/2) = 6(-11/6)
6r - 60/3 + 6/2 = - 66/6...simplify
6r - 20 + 3 = - 11
6r - 17 = -11
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6r = 6
r = 6/6
r = 1 <===
5 0
3 years ago
Can someone please help me with this?
viktelen [127]

Answer:

4

Step-by-step explanation:

hopes this helps i have a F in math so not sure

6 0
2 years ago
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Answer:

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4 0
3 years ago
Read 2 more answers
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