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uranmaximum [27]
3 years ago
15

Help me with this please

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Answer:

Step-by-step explanation:

The diagonal gives you a 30°-60°-90° triangle. The lengths of the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 60° angle is 12 ft.

The side opposite the 30° angle is 12/√3 ft

The side opposite the 90° angle is 2×12/√3 = 24/√3 = 24√3/3 =  8√3 ft

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What is negative 3 times 67
BartSMP [9]

Negative 34 means (-34)

times means to multiply, then

-34\times1567

To do it without a calculator we will make -34

-30 + -4, then multiply -30 by 1567 and multiply -4 by 1567 then add the two answers

-4\times1567=-6268-30\times1567=-47010

Then add the answers

-34\times1567=-6268+-47010=-53278

The answer is -53278

7 0
1 year ago
Read 2 more answers
Help me please !!!!!!!
sleet_krkn [62]
I think it's the third one too
4 0
3 years ago
Find the quotient of (11 ^ 18)/(11 ^ 3)
astraxan [27]

Answer:

The first choice, 11^{15}.

Step-by-step explanation:

The numerator, 11^{18}, is equivalent to eighteen "11" multiplied together:

11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}.

On the other hand, the denominator, 11^{3}, is equivalent to three "11" multiplied with one another:

11^{3} = 11 \times 11 \times 11.

Dividing 11^{18} by 11^{3} would eliminate three "11" from the numerator:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}.

In general, dividing an expression by y^{b} (y \ne 0) is equivalent to multiplying that expression by y^{-b}.

For example, in this question, dividing 11^{18} by 11^{3} would be equivalent to multiplying 11^{18}\! by 11^{-3}. In other words:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & 11^{18} \times 11^{-3} \\ =\; & 11^{18 - 3} \\ =\; & 11^{15}\end{aligned}.

6 0
3 years ago
A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)
Maksim231197 [3]

Answer:

a

  The 95% confidence interval is  0.0503  <   p < 0.1297

b

The sample proportion is  \r p =  0.09

c

The critical value is  Z_{\frac{\alpha }{2} } =  1.96

d

 The standard error is  SE   =0.020

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  200

     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

Given that the confidence level is  95% then the level  of significance is mathematically evaluated as

        \alpha  =  100 -  95

        \alpha  =  5\%

        \alpha  =  0.05

Next we obtain the critical value of  \frac{ \alpha }{2} from the normal distribution table, the value is  

        Z_{\frac{\alpha }{2} } =  1.96

Generally the standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

The  95% confidence interval is mathematically represented as

     \r p  -  E  <  \mu <  p <  \r p  + E

=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

=>  0.0503  <   p < 0.1297

7 0
3 years ago
Ten is less than or equal to the difference of a number and negative 4:
pentagon [3]

Answer:

n - (-4) ≥ 10

4(n+5) ≥ 48

Step-by-step explanation:

n - (-4) ≥ 10

n + 4 ≥ 10

n ≥ 6

4(n+5) ≥ 48

4n + 20 ≥ 48

4n ≥ 28

n ≥ 7

4 0
2 years ago
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