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valentina_108 [34]
3 years ago
11

B. 2. Solve using the standard algorithm. 958 x 94

Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0

Answer:

90.052

Step-by-step explanation:

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What is the sum of (3x^2+ 5x +6) and (25x^3+ 10x² + 7x– 3)
muminat

Answer:

25x³ + 13x² + 12x + 3

Step-by-step explanation:

(3x²+ 5x +6) + (25x³ + 10x² + 7x– 3)

3x²+ 5x + 6 + 25x³+ 10x² + 7x – 3

25x³ + 3x² + 10x² + 5x + 7x + 6 - 3

25x³ + 13x² + 12x + 3

6 0
3 years ago
Brand name producers of aspirin claim that one advantage of their aspirin over generic aspirin is that brand name aspirin is muc
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

The claim here is that the brand name aspirin is more consistent in the amount of active ingredient used than the generic aspirin.

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean amount of active ingredients in brand name aspirin and μ2 be the mean amount of active ingredients in generic name aspirin

The random variable is μ1 - μ2 = difference in the mean amount of active ingredients between the brand name and generic aspirin

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≥ μ2 H0 : μ1 - μ2 ≥ 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 325.01

x2 = 323.47

s1 = 10.12

s2 = 11.43

n1 = 200

n2 = 180

t = (325.01 - 323.47)/√(10.12²/200 + 11.43²/180)

t = 1.24

1.237877

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [10.12²/200 + 11.43²/180]²/[(1/200 - 1)(10.12²/200)² + (1/180 - 1)(11.43²/180)²] = 1.53233946713/0.00537245359

df = 285

We would determine the probability value from the t test calculator. It becomes

p value = 0.108

Since alpha, 0.025 < than the p value, 0.108, then we would fail to reject the null hypothesis. Therefore, at 2.5% level of significance, these data support the brand name producers claim

5 0
3 years ago
Plzzz help me understand this!!<br> Thank very much in advance!!
saul85 [17]

First write both vectors in terms of their horizontal and vertical components.

G = (40.3 m)(cos(-35.0º) x + sin(-35.0º) y)

G = (33.0 x - 23.1 y) m

(where x and y are the unit vectors that point in the positive horizontal and vertical directions, respectively)

H = (63.3 m)(cos 270º x + sin 270º y)

H = (-63.3 y) m

Then the vector sum is

G + H = (33.0 x - 86.4 y) m

which has a magnitude of

|| G + H || = √[33.0^2 + (-86.4)^2] = 92.5 m

5 0
3 years ago
CALCULUS: For the function whose values are given in the table below, the integral from 0 to 6 of f(x)dx is approximated by a Re
ladessa [460]

The table gives values of <em>f(x)</em> at various <em>x</em> in the interval [0, 6], and you have to use them to approximate the definite integral,

∫₀⁶ <em>f(x)</em> d<em>x</em>

with a left-endpoint sum using 3 intervals of width 2. This means you have to

• split up [0, 6] into 3 subintervals of equal length, namely [0, 2], [2, 4], and [4, 6]

• take the left endpoints of these intervals and the values of <em>f(x)</em> these endpoints, so <em>x</em> ∈ {0, 2, 4} and <em>f(x)</em> ∈ {0, 0.48, 0.84}

• approximate the area under <em>f(x)</em> on [0, 6] with the sum of the areas of rectangles with dimensions 2 × <em>f(x)</em> (that is, width = 2 and height = <em>f(x)</em> for each rectangle)

So the Riemann sum is

∫₀⁶ <em>f(x)</em> d<em>x </em>≈ 2 ∑ <em>f(x)</em>

for <em>x</em> ∈ {0, 2, 4}, which is about

∫₀⁶ <em>f(x)</em> d<em>x </em>≈ 2 (0 + 0.48 + 0.84) = 2.64

making the answer A.

7 0
2 years ago
In the equation y= -x/4, what is the unit rate?
maria [59]
The unit rate is -1/4.
8 0
3 years ago
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