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melamori03 [73]

4 years ago

8

What is the volume of the pyramid? 10 in 120 in 320 in 480 in 960 in.

1 answer:

QveST [7]4 years ago

6 0

Answer:

320

Step-by-step explanation:

THe formula is (lwh )*3

l is length

w is width

h is height

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Use cramers rule to solve 4x+3y=4 -3x-y=7 show your work

Nataly_w [17]

$\left\{\begin{array}{ccc}4x+3y=4\\-3x-y=7\end{array}\right\\\\D= \left|\begin{array}{ccc}4&3\\-3&-1\end{array}\right|=(4)(-1)-(-3)(3)=-4+9=5\\\\D_x=\left|\begin{array}{ccc}4&3\\7&-1\end{array}\right|=(4)(-1)-(7)(3)=-4-21=-25\\\\D_y=\left|\begin{array}{ccc}4&4\\-3&7\end{array}\right|=(4)(7)-(-3)(4)=28+12=40\\\\x=\dfrac{D_x}{D}\Rightarrow x=\dfrac{-25}{5}=-5\\\\y=\dfrac{D_y}{D}\Rightarrow y=\dfrac{40}{5}=8$

8 0

3 years ago

Can I please have help

earnstyle [38]

Hi,

Formula for ball volume (considered a sphera) is:

$V=\dfrac{4\pi\cdot r^3}3=\dfrac{4\pi\cdot 15^3}3=\dfrac{42,390}3=14,130\ in^3.$

Green eyes.

8 0

3 years ago

A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid

katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 865, \pi = \frac{408}{865} = 0.4717$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050$

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0

3 years ago

I kinda forgot how to do things like 2 divided by 5. plz help

pentagon [3]

Answer:

the answer 0.4

Step-by-step explanation;

4 0

3 years ago

4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (

Sergeu [11.5K]

Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

$\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408$

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

7 0

3 years ago