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Sliva [168]
3 years ago
7

PLEASE HELP, algebra 1

Mathematics
1 answer:
podryga [215]3 years ago
4 0
By intuition, the function of y with respect to x will be:

y = 4x

You can prove this by substitute in each pair of values of x and y

So the constant of relationship is 4
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Four more than the quotient of a number and 9 equals 2<br><br> Translate it to an equation
Georgia [21]
4(x÷9)=2

4 is multiplied to the (x÷9) to get your answer of 2
8 0
3 years ago
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 215 vinyl​ glov
pickupchik [31]

Answer:

z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42  

p_v =P(Z>13.42)\approx 0  

So the p value is a very low value and using any significance level given \alpha=0.01 we se that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

Step-by-step explanation:

Data given and notation  

n_{V}=215 sample of vinyl gloves selected

n_{L}=215 sample of latex gloves selected

p_{V}=0.7 represent the proportion of vynil gloves with leaked viruses

p_{L}=0.07 represent the proportion of latex gloves with leaked viruses

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the vinyl gloves have a greater virus leak rate than latex gloves , the system of hypothesis would be:  

Null hypothesis:p_{V} \leq p_{L}  

Alternative hypothesis:p_{V} > \mu_{L}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{V}-p_{L}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{V}}+\frac{1}{n_{L}})}}   (1)

Where \hat p=\frac{X_{V}+X_{L}}{n_{V}+n_{L}}=\frac{0.7+0.07}{2}=0.385

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42  

Statistical decision

Since is a one right tailed test the p value would be:  

p_v =P(Z>13.42)\approx 0  

So the p value is a very low value and using any significance level given \alpha=0.01 we se that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

3 0
3 years ago
Read 2 more answers
Exercise 6.22 provides data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents wh
kherson [118]

Answer:

a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted

b. Type I error

Step-by-step explanation:

Proportion of California residents who reported insufficient rest = 8.0%

Proportion of Oregon  residents who reported insufficient rest = 8.8%

p'₁ = 0.08 * 11545 =923.6

p'₂ = 0.088 * 4691=412.81

σ₁ = \sqrt{n*p_1*q_1}  = \sqrt{n*p_1*(1-p_1)} = \sqrt{11545*0.08*(1-0.08)} = 29.15

σ₂ = \sqrt{n*p_2*q_2}  = \sqrt{n*p_2*(1-p_2)}= \sqrt{4691*0.088*(1-0.088)} = 19.40

Samples size of California residents n₁ = 11,545

Samples size of Oregon residents n₂ = 4,691

Hypothesis can be constructed thus

Let our null hypothesis be H ₀: p'₁ = p'₂

and alternative hypothesis H ₐ: p'₁ ≠ p'₂

Then we have  

z =\frac{(p'_1 -p'_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2} } }

The test statistics can be computed by

     

t₀ = \sqrt{\frac{n_1n_2(n_1+n_2-2)}{n_1+n_2} } *\frac{p_1'-p_2'}{\sqrt{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2} } =      1104.83

c from tables is   P(T ≤ c) = 1 - α where α = 5% and c = 1.65

since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected

b. Type I error, rejecting a true hypothesis

5 0
3 years ago
I rly need some help please
kicyunya [14]

Answer:

B) 12.5%

Step-by-step explanation:

1. Find amount spent on clothes in July

$2800 * 8% = j

<em>j = $224</em>

2. Find amount spent of clothes in August

$224 + $126 = a

<em>a = $350</em>

3. Find the amount's percentage of the total

$350/$2800 = x

x = 0.125 = 12.5%

6 0
3 years ago
In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. If there are 529 chairs in th
BartSMP [9]

Answer:

23!

Step-by-step explanation:

529/23= 23

23 chairs and 23 rows

8 0
2 years ago
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