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rosijanka [135]
3 years ago
14

PLZZ HELPP!!! WILL GIVE BRAINLIEST!!!

Mathematics
2 answers:
lutik1710 [3]3 years ago
3 0

Answer:B. 2x^2 + 4x - 1 - 9/4x + 1

Step-by-step explanation:

f(x) = 8x^3 + 18x^2 − 10

g(x) = 4x + 1

We want to determine f(x)/g(x). We would apply the long division method. The steps are shown in the attached photo.

The correct answer is

2x^2 + 4x - 1 - 9/4x + 1

adoni [48]3 years ago
3 0

Answer:

\text{B. }2x^{2} - 4x - 1 - \dfrac{9}{4x + 1}

Step-by-step explanation:

One way is to use long division.

          <u>2x² +  4x           -   1 </u>            

4x + 1) 8x³ + 18x²         - 10

          <u>8x³  +  2x²       </u>              

                    16x²

                    <u>16x² + 4x        </u>      

                              -4x - 10

                              <u>-4x -   1 </u>

                                    -   9

\dfrac{8x^{3} + 18x^{2} - 10} {4x+1} = 2x^{2} - 4x - 1 - \dfrac{9}{4x + 1}

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This is kinda confusing can someone help explain!!
AURORKA [14]

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7 0
2 years ago
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Starting in the 1970s, medical technology allowed babies with very low birth weight (VLBW, less than 1500 grams, about 3.3 pound
cluponka [151]

Answer:

The test statistic value using the VLBW babies as group 1 is z=-2.76±0.01 and the P-value for the test (±0.0001) is 0.0030.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.05.

The sample 1 (VLBW group), of size n1=244 has a proportion of p1=0.77049.

p_1=X_1/n_1=188/244=0.77049

The sample 2 (control group), of size n2=247 has a proportion of p2=0.79757.

p_2=X_2/n_2=197/247=0.79757

The difference between proportions is (p1-p2)=-0.02708.

p_d=p_1-p_2=0.77049-0.79757=-0.02708

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{188+197}{244+247}=\dfrac{385}{491}=0.988

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.988*0.012}{244}+\dfrac{0.988*0.012}{247}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00005}=\sqrt{0.0001}=0.0098

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.02708-0}{0.0098}=\dfrac{-0.02708}{0.0098}=-2.76

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=P(t

As the P-value (0.0030) is smaller than the significance level (0.05), the effect issignificant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.

3 0
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It takes 45 minutes to drive to the nearest bowling alley taking city streets going 30 miles per hour
zmey [24]

Answer:

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes

Step-by-step explanation:

The given parameters are;

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From the speed of driving through the streets and the time taken we have;

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Therefore;

Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.

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