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3 years ago

Need help asap. Thanks in advance

Mathematics

1 answer:

laila [671]3 years ago

5 0

Answer: 19º

Step-by-step explanation:

Use sine

$Sin=\frac{opposite}{hypothenuse}$

$sin=\frac{2}{6}\\ sin=0.333\\sin^-^1=19$

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Truck covers 40 m in 8.5 seconds slowing to a final speed of 2.8 m/s find original speed

sergejj [24]

V = u + at
2.8 = u + a*8.5
2.8 = u + 8.5a

s = ut + 0.5at^2
40 = u*8.5 + 0.5*a*8.5^2
40 = 8.5u + 36.125a

(2.8 = u + 8.5a) * 8.5
23.8 = 8.5u + 72.25a

Subtract those equations
16.2 = - 36.125a
a = 0.448

2.8 = u + (8.5*-0.448)
2.8 = u - 3.8
u = 6.6 m/s

7 0

3 years ago

A jug contains 6 qt of killa kola. kyle drank 3/10 of the jug. how much did he drink

jekas [21]

Answer:

Kyle drank 1.8 quarts of the jug.

Step-by-step explanation:

The quantity that Kyle drank from the jug is to equivalent to the product of the volume of the jug and portion that Kyle used. That is:

$V_{dr} = \frac{3}{10}\cdot V_{jug}$

Where:

$V_{dr}$ - Volume that Kyle drank, measured in quarts.

$V_{jug}$ - Volume of the jug, measured in quarts.

If $V_{max} = 6\,qt$ , the volume drank by Kyle is:

$V_{dr} = \frac{3}{10}\cdot (6\,qt)$

$V_{dr} = 1.8\,qt$

Kyle drank 1.8 quarts of the jug.

5 0

3 years ago

Ten college students were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 a

solong [7]

Answer:

The 95% confidence interval for the true slope is (0.03985, 0.14206).

Step-by-step explanation:

For the regression equation:

$\hat y=\alpha +\hat \beta x$

The (1 - α)% confidence interval for the regression coefficient or slope $(\hat \beta )$ is:

$Ci=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )$

The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:

$\hat Y=3.584756+0.090953 X$

The summary of the regression analysis is:

Predictor Coefficient SE t-stat p-value

Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹

Entering GPA 0.090953 0.022162 4.103932 0.003419

The regression coefficient and standard error are:

$\hat \beta = 0.090953\\SE (\hat \beta)=0.022162$

The critical value of t for 95% confidence level and 8 degrees of freedom is:

$t_{\alpha/2, n-2}=t_{0.05/2, 10-2}=t_{0.025, 8}=2.306$

Compute the 95% confidence interval for $(\hat \beta )$ as follows:

$CI=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )\\=0.090953\pm 2.306\times 0.022162\\=0.090953\pm 0.051105572\\=(0.039847428, 0.142058572)\\\approx (0.03985, 0.14206)$

Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).

6 0

3 years ago

How many inches are in 200 meters? Enter your answer in the box. 1 m ≈ 39.37 in.

Vinvika [58]

Answer:

Step-by-step explanation:

1m = 39.37 inches

200 m = 200 x 39.37 = 7874

7 0

3 years ago

The weekly fee for staying at the Pleasant Lake Campground is $20 per vehicle and $10 per person. Last year, weekly fees were pa

natta225 [31]

For this case we have the following variables:
v: number of vehicles
p: number of people
Writing the equation of the weekly rates we have:
20v + 10p
Answer:
An expressions that gives the total amount, in dollars, collected for weekly fees last year is:
20v + 10p

7 0

3 years ago