Andy gets 8 hours of sleep every night for two weeks. How many total hours of sleep will he get in two

Evaluate each expression if x = −2, y = −3, and z = 5.

Scrat [10]

Basically what you have to do is substitute the variables for the values

-4+-9+5= -8
-2-3= -5
2= 2
6-4+1= 3
-9(-2+-4--3)= 27

3 0

4 years ago

The germination rate is the rate at which plants begin to grow after the seed is planted.

chubhunter [2.5K]

Answer:

$z=\frac{0.467 -0.9}{\sqrt{\frac{0.9(1-0.9)}{15}}}=-5.59$

$p_v =P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of germinated seeds is significantly lower than 0.9 or 90%

Step-by-step explanation:

Data given and notation

n=15 represent the random sample taken

X=7 represent the number of seeds germinated

$\hat p=\frac{7}{15}=0.467$ estimated proportion of seeds germinated

$p_o=0.9$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of germinated seeds is less than 0.9 or 90%.:

Null hypothesis: $p\geq 0.9$

Alternative hypothesis: $p < 0.9$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.467 -0.9}{\sqrt{\frac{0.9(1-0.9)}{15}}}=-5.59$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level assumed is $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of germinated seeds is significantly lower than 0.9 or 90%

4 0

3 years ago

I need a little help with this 32(x−2)−5=19

pickupchik [31]

Answer:

x =11/4

Step-by-step explanation:

32(x−2)−5=19

Add 5 to each side

32(x−2)−5+4=19+5

32 (x-2) = 24

Distribute

32x -64 = 24

Add 64 to each side

32x-64+64 = 24+64

32x = 88

Divide by 32

32x/32 = 88/32

x = 88/32

Divide top and bottom by 8

x =11/4

6 0

3 years ago

Since we talked about a Man on the Street survey in class today, you decided to do one yourself! You estimate that there is a 0.

a_sh-v [17]

Answer:

Therefore, we conclude that the probability is P=0.3456.

Step-by-step explanation:

We know that there is a 0.60 probability that a random student at UMSL has watched Game of Gnomes. We calaculate the probability that 3 of 4 students watched Game of Gnomes.

$p=0.6\\q=1-0.6=0.4\\$

Therefore, we get:

$P=C_3^4\cdot 0.6^3 \cdot 0.4^1\\\\P=4\cdot 0.6^3 \cdot 0.4\\\\P=0.3456$

Therefore, we conclude that the probability is P=0.3456.

8 0

3 years ago

Describe the resulting effects on the parallel bases of a trapezoid after reflecting it across

Margarita [4]

Answer:

D. The parallel bases remains parallel

Step-by-step explanation:

Reflection is an example of solid transformation in which an object is turned about a line or point to produce its image. Though the initial orientation of the given object changes, but its shape and size is preserved.

A trapezoid is a quadrilateral. If it undergo reflection across the x-axis, then y-axis; its parallel bases would remain parallel. Though the initial orientation of the trapezoid would have changed.

5 0

3 years ago