Billy runs at a pace of 2.25 ft/sec. how many feet can billy travel in 10 seconds?

I I need to find the surface area of this triangular prism.

scoundrel [369]

Answer: P=5.2 h=3 B=2

Step-by-step explanation:

To find P, you add everything except for 3 because P starts for perimeter of the bases and 3 is the height of the prism. So P would equal 5.2. Then to get h, it’s just 3 because that’s the height of the prism. Now for B, you just multiply 1x2 because that’s the area of the base and you only need one. If you’re looking for total surface area, the answer is 19.6 becasue the formula is Pxh+2B meaning perimeter x height plus 2 x B. But for lateral, the answer is 15.6 because it’s just Pxh (perimeter x height) hope this helps lol sorry it’s so long.

8 0

2 years ago

Help quick please ! 10 points

stepan [7]

Answer:

A, (Hope that was correct)

Step-by-step explanation:

4 0

3 years ago

A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n

mafiozo [28]

Answer:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

$\hat p=\frac{40}{120}=0.333$ estimated proportion of strawberries damaged

$p_o=0.25$ 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 no more than 25% of his total harvest of strawberries was damaged.:

Null hypothesis: $p\leq 0.25$

Alternative hypothesis: $p > 0.25$

When we conduct a proportion test we need to use the z statistic, 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:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

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 next step would be calculate the p value for this test.

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

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0

3 years ago

Y= -27(x+4)³+1 the real zero(s) is (are)

rjkz [21]

$\bf y=-27(x+4)^3+1\implies 0=-27(x+4)^3+1
\\\\\\
-1=-27(x+4)^3\implies \cfrac{-1}{-27}=(x+4)^3\implies \cfrac{1}{27}=(x+4)^3
\\\\\\
\sqrt[3]{\cfrac{1}{27}}=x+4\implies \cfrac{\sqrt[3]{1}}{\sqrt[3]{27}}=x+4\implies \cfrac{1}{3}=x+4\implies \cfrac{1}{3}-4=x
\\\\\\
-\cfrac{11}{3}=x$

4 0

3 years ago

Caitlyn needs to solve the equation: 2(3x+1)=3(2-x). after copying the problem correctly she uses the Properties of Algebra to s

astra-53 [7]

Answer:

x=49

Step-by-step explanation:

2(3x+1)=3(2−x)

Step 1: Simplify both sides of the equation.

2(3x+1)=3(2−x)

(2)(3x)+(2)(1)=(3)(2)+(3)(−x)(Distribute)

6x+2=6+−3x

6x+2=−3x+6

Step 2: Add 3x to both sides.

6x+2+3x=−3x+6+3x

9x+2=6

Step 3: Subtract 2 from both sides.

9x+2−2=6−2

9x=4

Step 4: Divide both sides by 9.

9x9=49

x=49

3 0

3 years ago

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