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nydimaria [60]
3 years ago
11

Find the value of x in each case: (See picture)

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Step-by-step explanation:

180-124=56°

180-56-2x-(180-6x)=0

180-56-2x-180+6x=0

-56+4x=0

4x=56

x=14°

........

2x=28

6x=84

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(23.01) In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 58 health
Paul [167]

Answer:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

\bar X=113.7 represent the sample mean

\mu population mean (variable of interest)

s=9.1 represent the sample standard deviation

n=29 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=29-1=28

The Confidence is 0.96 or 96%, the significance is \alpha=0.04 and \alpha/2 =0.02, and the critical value would be t_{\alpha/2}=2.154

Replacing the info we got:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

And the 96% confidence is given by (110.06; 117.34)

5 0
3 years ago
Complete the 2 column proof below given j = h and line m bisects gk
prohojiy [21]
2 Colin is j = h with us like m with bisects gk is your answer
5 0
3 years ago
Sean b= 5,79; c= 10,4,el angulo A= 54,46°, el angulo C mide ?
Rzqust [24]

Answer:

C \approx 91.732^{\circ}

Step-by-step explanation:

(This exercise is presented in Spanish and for that reason explanation will be held in such language)

El lado restante se determina por la Ley del Coseno:

a = \sqrt{b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A}

a = \sqrt{5.79^{2}+10.4^{2}-2\cdot (5.79)\cdot (10.4)\cdot \cos 54.46^{\circ}}

a \approx 8.466

Finalmente, el angulo C se halla por medio de la misma ley:

\cos C = - \frac{c^{2}-a^{2}-b^{2}}{2\cdot a \cdot b}

\cos C = -\frac{10.4^{2}-8.466^{2}-5.79^{2}}{2\cdot (8.466)\cdot (5.79)}

\cos C = -0.030

C \approx 91.732^{\circ}

3 0
3 years ago
1.) Divide $80 among three people so that the second will have twice as much as the first, and the third will have $5 less than
Marina CMI [18]
1 ) The first person will have $17. The second person will have $34 and the third person will $29.
5 0
3 years ago
I dont understand the problem
Roman55 [17]

Answer:

equation of a line:

y = mx+c

1) find the gradient, m

m =  \frac{y2 - y1}{x2 - x1}

m =  \frac{ - 4 - ( - 4)}{ - 10 - 1}

m = 0

2) find y-intercept, c using coordinate (1,-4)

y = mx + c

-4 = 0(1) + c

c = -4

the equation of line:

y = mx+c

y = 0(x) + c

y = c

y = -4

6 0
3 years ago
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