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2 years ago

45/14 as a decimal rounded to the nearest 10th

Mathematics

1 answer:

ozzi2 years ago

4 0

Answer:

3.2

Step-by-step explanation:

3.21428571429 is the exact answer and rounded to the nearest tenth is the first number after the decimal.

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Factor the following polynomial completely. y squared plus 5 zy plus 4 z squared

sweet [91]

Answer:

(y + z)(y + 4z)

Step-by-step explanation:

${y}^{2} + 5zy + 4 {z}^{2} \\ = {y}^{2} + zy + 4zy + 4 {z}^{2} \\ = y(y + z) + 4z(y + z) \\ = (y + z)(y + 4z)$

7 0

3 years ago

An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 37 type K batteries and a sample of 58

Olegator [25]

Answer:

Hypothesis Test states that we will accept null hypothesis.

Step-by-step explanation:

We are given that an engineer is comparing voltages for two types of batteries (K and Q).

where, $\mu_1$ = true mean voltage for type K batteries.

$\mu_2$ = true mean voltage for type Q batteries.

So, Null Hypothesis, $H_0$ : $\mu_1 = \mu_2$ {mean voltage for these two types of

batteries is same}

Alternate Hypothesis, $H_1$ : $\mu_1 \neq \mu_2$ {mean voltage for these two types of

batteries is different]

The test statistics we use here will be :

$\frac{(X_1bar-X_2bar) - (\mu_1 - \mu_2) }{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ follows $t_n__1 + n_2 -2$

where, $X_1bar$ = 8.54 and $X_2bar$ = 8.69

$s_1$ = 0.225 and $s_2$ = 0.725

$n_1$ = 37 and $n_2$ = 58

$s_p = \sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} } = \sqrt{\frac{(37-1)0.225^{2}+(58-1)0.725^{2} }{37+58-2} }$ = 0.585 Here, we use t test statistics because we know nothing about population standard deviations.

Test statistics = $\frac{(8.54-8.69) - 0 }{0.585\sqrt{\frac{1}{37}+\frac{1}{58} } }$ follows $t_9_3$

= -1.219

At 0.1 or 10% level of significance t table gives a critical value between (-1.671,-1.658) to (1.671,1.658) at 93 degree of freedom. Since our test statistics is more than the critical table value of t as -1.219 > (-1.671,-1.658) so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that mean voltage for these two types of batteries is same.

6 0

3 years ago

What is the next word in the pattern below?

RUDIKE [14]

Winter
Winter comes after fall in the pattern as we see already. Because this is true, winter is next.

8 0

1 year ago

Read 2 more answers

PLEASE HELP ME WITH THIS QUESTION 6

nata0808 [166]

Answer: