-2(7x - 3) = -7 Type your answer as a fraction

The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two sha

Tamiku [17]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of ice cream cone = 6 inch

Diameter of cone = 2 inches

Radius of cone is given by

$\frac{2}{2}=1\ in.$

But according to question, it is cut 0.25 inches from the base and this cut into cylinder and cone.

Since it was cut so close to the base.

So, Height of the cylinder = 0.25 inches

As we know the formula for "Volume of cylinder ":

$Volume=\pi r^2h\\\\Volume=\frac{22}{7}\times 1\times 1\times 0.25\\\\Volume=0.785\ in^3\\\\Volume=0.79\ in^3$

Hence, Option 'C' is correct.

7 0

3 years ago

Solve the inequality

exis [7]

N<6 is the answer I think

3 0

3 years ago

Read 2 more answers

R

Shalnov [3]

Answer:

x = 54

y = 47.5

Step-by-step explanation:

If two lines p and q are parallel and line r is a transversal intersecting these lines at two different points,

(x + 56)° = (2x + 2)° [corresponding angles]

2x - x = 56 - 2

x = 54

Similarly, lines r and s are parallel lines and q is a transversal line intersecting these lines,

(y + 7)° + (3y - 17)°= 180° [Consecutive exterior angles]

4y - 10 = 180

4y = 190

y = 47.5

3 0

3 years ago

Study the following quote. Then answer the question that follows.

nlexa [21]

A. People accused of crimes had certain rights unless found guilty through legal process.

8 0

3 years ago

Read 2 more answers

A genetic experiment involving peas yielded one sample of offspring consisting of 420 green peas and 174 yellow peas. Use a 0.01

slavikrds [6]

Answer:

a) $z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649$

b) For this case we need to find a critical value that accumulates $\alpha/2$ of the area on each tail, we know that $\alpha=0.01$ , so then $\alpha/2 =0.005$ , using the normal standard table or excel we see that:

$z_{crit}= \pm 2.58$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

Step-by-step explanation:

Data given and notation

n=420+174=594 represent the random sample taken

X=174 represent the number of yellow peas

$\hat p=\frac{174}{594}=0.293$ estimated proportion of yellow peas

$p_o=0.23$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

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 yellow peas is 0.23:

Null hypothesis: $p=0.23$

Alternative hypothesis: $p \neq 0.23$

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:

$z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649$

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 provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>3.649)=0.00026$

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.

b) Critical value

For this case we need to find a critical value that accumulates $\alpha/2$ of the area on each tail, we know that $\alpha=0.01$ , so then $\alpha/2 =0.005$ , using the normal standard table or excel we see that:

$z_{crit}= \pm 2.58$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

5 0

3 years ago