Ask question

Ask question

All categories

2 years ago

11

Trevon, Leah, and Beth are playing a computer game. Trevon scores -8. Beth’s score was 3/4 of trevons score, and Leah’s score wa

s 1/4 of Beth’s score. What was Leah’s score

2 answers:

FrozenT [24]2 years ago

8 0

Answer:

$-1.5$

Step-by-step explanation:

We have been given that Beth's score is 3/4 of Trevon's score.

$\text{Beth's score}=-8\times \frac{3}{4}$

$\text{Beth's score}=-2*3$

$\text{Beth's score}=-6$

We are also told that Leah’s score was 1/4 of Beth’s score.

$\text{Leah's score}=-6\times \frac{1}{4}$

$\text{Leah's score}=-\frac{3}{2}$

$\text{Leah's score}=-1.5$

Therefore, Leah score was $-1.5$ .

nevsk [136]2 years ago

3 0

-8 = trevon

(3/4)-8 = beth
= -6

1/4[(3/4)-8] = leah
1/4(-6)
= -1.5

You might be interested in

The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:

abruzzese [7]

Answer:

dive the cost by the number of bags for each dot:

4 / 1 = 4

8 / 2 = 4

12 / 3 = 4

This means each bag cost $4

The equation would be Y = 4X, because you would multiply each bag bought (X) by $4 to get the total cost (Y).

Step-by-step explanation:

BRAINLYIS TPLS

7 0

3 years ago

$3.00 is ____ % of $1.80

natta225 [31]

1.666666666666667%

3.00/1.80

1.666666666666667 as a fraction is 5/3

8 0

3 years ago

1) A projectile is thrown upward so that its distance above the ground after t seconds is

leonid [27]

Answer:

After 22 seconds the projectile reach its maximum height of 4,840 units

Step-by-step explanation:

we have

$h(t)=-10t^{2}+440t$

This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

$h(t)=-10(t^{2}-44t)$

Complete the square

$h(t)=-10(t^{2}-44t+22^2)+(10)(22^2)$

$h(t)=-10(t^{2}-44t+22^2)+4,840$

Rewrite as perfect squares

$h(t)=-10(t-22)^{2}+4,840$

The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0

3 years ago

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and

Brums [2.3K]

Answer:

$t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349$

$p_v =P(t_9>10.349)=1.34x10^{-6}$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X=51.6$ represent the sample mean

$s=1.1$ represent the standard deviation for the sample

$n=10$ sample size

$\mu_o =48$ 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 determine if the mean score is higher than 48, the system of hypothesis would be:

Null hypothesis: $\mu \geq 48$

Alternative hypothesis: $\mu > 48$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (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:

$t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349$

Calculate the P-value

First we find the degrees of freedom:

$df=n-1=10-1=9$

Since is a one-side upper test the p value would be:

$p_v =P(t_9>10.349)=1.34x10^{-6}$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

5 0

3 years ago

Consider the given function and the given interval. f\(x\) = 2 sin\(x\) - sin\(2 x\) text(, ) [0 text(, ) pi] (a) Find the avera

Finger [1]

a. The average value of $f$ on the given interval is

$\displaystyle f_{\rm ave}=\frac1{\pi-0}\int_0^\pi(2\sin x-\sin2x)\,\mathrm dx=\boxed{\frac4\pi}$

b. Solve for $c$ :

$\dfrac4\pi=2\sin c-\sin2c\implies\boxed{c\approx1.238\text{ or }c\approx2.808}$

4 0

3 years ago