3 cans of soda and 2 chips is 5.35, 2 cans of soda and 4 chips is 6.90. whats the cost of each item ?

Find the following for the given pyramid: Slant height, lateral area, surface area, and volume. Please show all work!

jolli1 [7]

You have:
1)The slant height is:
Slant height=√[(8 inches)²+(8 inches)²]
Slant height=10 inches
2)The lateral area is:
LA=(Perimeter)(Slant height)/2
LA=(6 inches)(4)(10 inches)/2
LA=120 inches²
3)The Surface area is:
SA=Base area+(PerimeterxSlant height/2)
SA=(6 inches)²+(24 inchesx10 inches/2)
SA=156 inches²
4)The volume is:
V=(6 inches)²(8 inches/3)
V=96 inches³

5 0

3 years ago

What is the answer and steps to 3 divided by 2/5

il63 [147K]

3 divided by 2/5 is 15/2

4 0

3 years ago

Read 2 more answers

If rhe discriminant of a quadratic equation is equal to -8 which statement describes the roots

Nastasia [14]

Answer:

Step-by-step explanation:

Given

$Discriminant = -8$

Required

Determine the type of roots

Represent Discriminant with D; such that

$D = -8$

D is calculated as thus

$D = b^2 - 4ac$

And it has the following sequence of results

When $D > 0;$ then the roots of the quadratic equation are real but not equal

When $D = 0;$ then the roots of the quadratic equation are real and equal

When $D < 0;$ then the roots of the quadratic equation are complex or imaginary

Given that $D = -8$ ; This means that $D < 0;$ and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary

6 0

3 years ago

How do I find the missing side lengths?

KIM [24]

Use sin(45)= 5sqrt2/x
Then you would multiply x to sin(45) then divide sin(45) by 5sqrt2
and you would get
10 for M
You would then use Pythagorean theorem and get
3sqrt 10

Hope this helps.. BRAINLIEST

4 0

2 years ago

An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry ou

Katyanochek1 [597]

Answer:

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

$p_v =P(t_{(5)}$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

Step-by-step explanation:

Data given and notation

The mean and sample deviation can be calculated from the following formulas:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}$

$\bar X=29.35$ represent the sample mean

$s=1.365$ represent the sample standard deviation

$n=6$ sample size

$\mu_o =30$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is lower than 30 or no, the system of hypothesis are :

Null hypothesis: $\mu \geq 30$

Alternative hypothesis: $\mu < 30$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

P-value

We need to calculate the degrees of freedom first given by:

$df=n-1=6-1=5$

Since is a one-side left tailed test the p value would given by:

$p_v =P(t_{(5)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

5 0

2 years ago