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3 years ago

What is the slope of the line whose equation is 12 equals 4x - 3 y?

1 answer:

8 0

12=4x-3y Begin by moving the 4x away from the y. -3y=-4x+12. To get y by itself, divide both sides by -3. y= 4/3x -4. Therefore the slope is 4/3.

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If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 477 viruses would d

melisa1 [442]

Answer:

0.01596

Step-by-step explanation:

A scientist claims that 8% of the viruses are airborne

Given that:

The population proportion p = 8%

The sample size = 477

We can calculate the standard deviation of the population proportion by using the formula:

$\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}$

$\sigma_p = \sqrt{\dfrac{0.8(1-0.8)}{477}}$

$\sigma_p = \sqrt{\dfrac{0.0736}{477}}$

$\sigma_p = 0.02098$

The required probability can be calculated as:

$P(| \hat p - p| > 0.03) = P(\hat p - p< -0.03 \ or \ \hat p - p > 0.03)$

$= P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} < -\dfrac{0.03}{0.0124} \bigg ) + P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} >\dfrac{0.03}{0.0124} \bigg )$

= P(Z < -2.41) + P(Z > 2.41)

= P(Z < -2.41) + P(Z < -2.41)

= 2P( Z< - 2.41)

From the Z-tables;

$P(| \hat p - p| > 0.03)$ = 2 ( 0.00798

$P(| \hat p - p| > 0.03)$ = 0.01596

Thus, the required probability = 0.01596

3 0

3 years ago

the table shows cara's scores for 5 rounds of golf. If cara wants an average score of 73, what should her scores be on 6th round

dlinn [17]

Answer:

Step-by-step explanation:

80+69+78+73+75+63= 438

438/6 = 73

Hope this helps you! :)

4 0

3 years ago

Please hurryyyyy !!!! What's the slope and y intercept of 4y = 2x - 12

Simora [160]

Answer:

slop is 0.5 and intercept of y is -3

8 0

3 years ago

Read 2 more answers

1. Find the circumference of a circle if the area is 300 square centimeters. A. 61.38 cm B. 56.25 cm C. 84.74 cm D. 9.77 cm

Juliette [100K]

I would go with A 61.38 rounded is 61.4.

7 0

3 years ago

Read 2 more answers

The ratio of the number of boys to the number of girls in Ms. Zombo’s class is 3 to 4. The ratio of the number of boys to the nu

MAXImum [283]

Answer:

$\frac{51}{46}$

Step-by-step explanation:

Number of boys = B

Number of girls = G

Ratio of the number of boys to the number of girls in Ms. Zombo’s class = $\frac{3}{4}$

$\frac{B}{G}=\frac{3}{4}\\\Rightarrow B=G\frac{3}{4}$

$B+G=49\\\Rightarrow G\frac{3}{4}+G=49\\\Rightarrow G\frac{7}{4}=49\\\Rightarrow G=28$

$B=G\frac{3}{4}\\\Rightarrow B=28\frac{3}{4}\\\Rightarrow B=21$

Ratio of the number of boys to the number of girls in Mr. Stolarski’s class = $\frac{5}{3}$

$\frac{B}{G}=\frac{5}{3}\\\Rightarrow B=G\frac{5}{3}$

$B+G=48\\\Rightarrow G\frac{5}{3}+G=48\\\Rightarrow G\frac{8}{3}=49\\\Rightarrow G=18$

$B=G\frac{8}{3}\\\Rightarrow B=18\frac{5}{3}\\\Rightarrow B=30$

Total number of boys in combined class = 21+30 = 51

Total number of girls in combined class = 28+18 = 46

∴ Ratio of the number of boys to girls in the combined classes is $\mathbf{\frac{51}{46}}$

8 0

3 years ago