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3 years ago

Question shown below within image.

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

Answer:

m∠x = 119°

m∠y = 61°

m∠z = 119°

Step-by-step explanation:

Angle x:

m∠x = 180° - 61° (sum of angles in a straight line)
m∠x = 119°

Angle y:

m∠y = 61° (Alternate interior angles)

Angle z:

m∠z = 119° (Sum of angles in a line, corresponding angles)

-Chetan K

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Find the answer pleaseeee... -15/9 + 9/4 = ? Please find what the question mark is

SVEN [57.7K]

Answer:

7/12

Step-by-step explanation:

-15/9+9/4

We need to make them have the same denominator:

9x4= 36 so that is our new denominator

-15x4= -60

9x9=81

(Sorry if i dont make sense)

Now we have -60/36+81/36 which is equal to 21/36.

Now we simplify:

21/36=7/12

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3 years ago

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Hoping to attract more shoppers, a city builds a new public parking garage downtown. The city plans to pay for the structure thr

posledela

Answer:

$MOE_{95} = 1.192\cdot MOE_{90}$

Step-by-step explanation:

The margin of error is computed using the formula:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The critical of z for 95% confidence level and 90% confidence level are:

$z_{0.05/2}=z_{0.025}=1.96\\\\z_{0.10/2}=z_{0.05}=1.645$

*Use a z-table.

The sample size is n = 44.

Compare the MOE for 95% confidence level and 90% confidence level as follows:

$\frac{MOE_{95}}{MOE_{90}}=\frac{1.96\times (15/\sqrt{44})}{1.645\times (15/\sqrt{44})}$

$\frac{MOE_{95}}{MOE_{90}}=\frac{1.96}{1.645}\\\\\frac{MOE_{95}}{MOE_{90}}=1.192\\\\MOE_{95} = 1.192\cdot MOE_{90}$

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3 years ago

Samaria attached 165 inches of fringe material to a tablecloth if the tablecloth was in a shape of a regular pentagon how much f

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3 years ago

A father wishes to give his son P200, 000 ten years from now. What amount should he invest if it will earn interest at 10% compo

Archy [21]

Answer:

C. P69,256.82

Step-by-step explanation:

We know that,

The amount formula in compound interest is,

$A=P(1+\frac{r_1}{n_1})^{n_1t_1} (1+\frac{r_2}{n_2})^{n_2t_2}.......$

Where, P is the principal amount,

$r_1, r_2....$ are the annual rate for the different periods,

$t_1, t_2,.....$ are the number of year for different periods,

$n_1, n_2, n_3...$ are the number of periods,

Given,

A = P 200,000,

$r_1=10%=0.1$ , $n_1=4$ , $t_1=5$ , $r_2=12%=0.12$ , $n_2=1$ , $t_2=5$

Thus, by the above formula the final amount would be,

$200000=P(1+\frac{0.1}{4})^{4\times 5}(1+\frac{0.12}{1})^{1\times 5}$

$200000=P(1+0.025)^{20}(1+0.12)^5$

$200000=P(1.025)^{20}(1.12)^5$

$\implies P=69,256.824\approx 69,256.82$

Option C is correct.

8 0

3 years ago