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GrogVix [38]
3 years ago
5

• 15. Solve b2 = 77.

Mathematics
1 answer:
melomori [17]3 years ago
3 0
The answer for 15 is b=38.5
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How do i solve this equation: 4/5a + 3 = 1/3a - 8
DENIUS [597]
You have to subtract by \frac{1}{3}a on EACH of  the sides you're working with!

\frac{4}{5}a + 3 - \frac{1}{3}a - 8 - \frac{1}{3}a

Which gives us: \frac{7}{15}a + 3 = -8

Now, that we got these steps out of the way, let's subtract 3 from the sides you're working with! 

\frac{7}{15}a  + 3 - 3 \\ = -8 -3

 \frac{7}{15}(a) = -11

We have gotten these  steps out of the way now lets multiply by \frac{15}{7} on your sides because, it is the reciprocal of \frac{7}{15}

So,  \frac{15}{7}( \frac{7}{15}a ) =  \frac{15}{7}  (-11)

Cancel out: \frac{15}{7}( \frac{7}{15} ) because, it equals to:1

\frac{15}{7}(-11) =   \frac{-165}{7}

Therefore, your answer is:  \frac{-165}{7} aka 23\frac{4}{7} 

Good luck on your assignment and enjoy your day

~MeIsKaitlyn:)


5 0
3 years ago
Graph the rational function f(x) = x/x-9
vichka [17]

Answer:

see attached

asymptote at x = 9

Step-by-step explanation:

5 0
3 years ago
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Which line represents the equation y= 3x - 2?<br> Click the picture
earnstyle [38]
 Line r represents  the equation y= 3x-2.
Even though the y-intercept is not visible, the slope is 3. So that means the orange line is the equation
7 0
3 years ago
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Tommy and his wife went to the store to go buy groceries.there subtotal was 143.50 . if the sales tax was 8% what was the total
andrezito [222]
143.50 plus 143.50 * .08 =
  <span> <span> <span> 11.48 </span>

154.98 Total

</span> </span>
6 0
3 years ago
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average i
strojnjashka [21]

The valid conclusions for the manager based on the considered test is given by: Option

<h3>When do we perform one sample z-test?</h3>

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

  • Population mean = \mu = $150
  • Population standard deviation = \sigma = $30.20
  • Sample mean = \overline{x} = $160
  • Sample size = n = 40 > 30
  • Level of significance = \alpha = 2.5% = 0.025
  • We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

  • Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: H_0: \mu_0 \leq \mu = 150
  • Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically H_1: \mu_0 > \mu = 150

where \mu_0 is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

brainly.com/question/21477856

3 0
2 years ago
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