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sertanlavr [38]
3 years ago
15

The formula c=√(a^2+4b^2 ) Solve the equation for b. That means get “b” all by itself on one side of the equation. Show your wor

k. Show steps.

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0

Answer:

b^{2} =\frac{c^{2}-a^{2}  }{4}

Step-by-step explanation:

I believe this is the correct answer. In order to check that my equations are correct I put in some dummy numbers.

a= 2

b=4

c= 2\sqrt{17}

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Your father is planning to cook for 35 people using a recipe that specifies two and a half cups of sugar for each six people,
almond37 [142]

Your father will require 14.6 cups of sugar for the larger group

<h3>Ratio and proportions</h3>

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people  = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

Learn more on ratio and proportions here: brainly.com/question/19994681

3 0
2 years ago
Which statements about quadrilaterals are true?
USPshnik [31]
D)A rectangle is always also a parallelogram.
5 0
2 years ago
Read 2 more answers
Ruby had 9 times as many beads as Sam.
Hatshy [7]

Answer:

If sam had x accounts, then ruby ​​had 9x then:

X + 9X = 120

10X = 120

X = 120/10

X = 12

If ruby ​​had 9x then she had:

9(12) = 108

And Sam:

12

108 - 12 = 96

Ruby had 96 more accounts than Sam

Step-by-step explanation:

8 0
2 years ago
In a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer
stira [4]

Answer:

We conclude that 80% of patients stop smoking when given sustained care.

Step-by-step explanation:

We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.

Let p = <u><em>percentage of patients stop smoking when given sustained care.</em></u>

So, Null Hypothesis, H_0 : p = 80%     {means that 80% of patients stop smoking when given sustained care}

Alternate Hypothesis, H_A : p \neq 80%     {means that different from 80% of patients stop smoking when given sustained care}

The test statistics that would be used here <u>One-sample z test for proportions</u>;

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of patients who stop smoking when given sustained care = 80.2%

           n = sample of patients = 192

So, <u><em>the test statistics</em></u>  =  \frac{0.802-0.80}{\sqrt{\frac{0.802(1-0.802)}{192} } }

                                     =  0.07

The value of z test statistics is 0.07.

<u></u>

<u>Also, P-value of the test statistics is given by the following formula;</u>

                P-value = P(Z > 0.07) = 1 - P(Z \leq 0.07)

                              = 1 - 0.52790 = 0.4721

<u>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that 80% of patients stop smoking when given sustained care.

8 0
3 years ago
Find the equation in standard form.<br><br> y − 3 = 4/7(x − 7)
Julli [10]
The answer to y-3=4/7(x-7) is y=4/7x-1
8 0
3 years ago
Read 2 more answers
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