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3 years ago

Line r and m are parallel. Find the value of x.

Mathematics

1 answer:

vladimir2022 [97]3 years ago

8 0

Answer:

Answer:

10x-3=7x+45 corresponding angle

10x-7x=45+3

3x=48

x=48/3=16

value of x is 16.

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D. 48.1 Math question don't guess Please help

TiliK225 [7]

Law of sines,. a/sinA = b/sinB = c/sinC

25/sin44 = c/sin88. Angle C is 88° because the three angles of any triangle add to 180°

now a little Algebra gives us that
25(sin88)/sin44 =35.966 so B is our answer

4 0

3 years ago

What is the error in this problem

Anastaziya [24]

Answer:

The angle of elevation is not properly represented

Step-by-step explanation:

Given

The question in the attachment;

Required

Determine the error

See attachment for proper representation of the angle of elevation;

Solving further (From the Attachment)

$Tan22 = \frac{x}{3000}$

Multiply both sides by 3000

$x = 3000 * tan22$

$x = 3000 * 0.4040$

$x = 1212$

The cliff is about 1212 feet high

7 0

3 years ago

Eunice wanted to save up for a mountain bike that costs £250. She baby-sits each week for 6 hours for £2.75 an hour, and does a

choli [55]

Answer:

Approximately 2 weeks

Step-by-step explanation:

Given data

Cost of bike= £250

Assuming she works for 6 days

1.Babysitting

6*2.75=£16.5 per day

for 6 days

=16.5*6

=£99

2. Saturday Job

=£27.50

Total earnings for the week

=£27.50+£99

=£126.5 weekly

Hence it will take her

=250/126.5

=1.97 week

Approximately 2 weeks to save up the amount

3 0

3 years ago

1. You are planning to hang lights around your windows for a party. The cost is

torisob [31]

Answer:

need more info to help

Step-by-step explanation:

7 0

3 years ago

Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home.

maxonik [38]

Answer:

Step-by-step explanation:

From this study:

The null hypothesis:

$H_o : p_1 =p_2$

The altenative is:

$H_a : p_1 \ne p_2$

This test is a two-tailed test.

However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.

Then;

$\hat p_1 = \dfrac{44}{66}$

$\hat p_1 = 0.6667$

Similarly, the husbands have 18 success out of 46, then the number of failures will be 28

Then:

$\hat p_2 = \dfrac{18}{46}$

$\hat p_2 = 0.3913$

The pooled proportion $p = \dfrac{18+44}{66+46}$

$p = \dfrac{62}{112}$

p = 0.55357

The estimated standard error S.E is:

$= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}$

= $\sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}$

$=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}$

$=\sqrt{ 0.00911638798}$

= 0.0955

The Z test statitics can now be computed as:

$Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}$

$Z = \dfrac{0.6667 -0.3913}{0.0955}$

Z = 2.88

Th p -value from the test statistics is:

p-value = 2P(Z > 2.88)

p- value = 2 P (1 - Z < 2.88)

p-value = 2 ( 1 - 0.998)

p-value = 2 ( 0.002)

p -alue = 0.004

Decision Rule:

Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)

Conclusion:

We conclude that there is a significant difference between the proportions.

5 0

3 years ago