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Alik [6]
3 years ago
11

Palm Bay Magnet High School 2019-20

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

y=-4x-15

Step-by-step explanation:

[in picture]

You might be interested in
Convert 674 cm into m
Lyrx [107]

Answer is below. Look at my explanation to understand my answer.

To convert centimetres into meters, you'll divide how many centimetres by 100.

With that being said...

674 ÷ 100 = 6.74

Hence, 6.74 is your answer.

Let me know of any questions or concerns.

7 0
2 years ago
Ayanna is 3 years older than Brittany. The sum of 3 times Brittany's age and 2 times Ayanna's age is 76. How old are Ayanna and
Alex_Xolod [135]
Ayanna is 17 and Brittany is 14.

To find this, let's write two equations using the given information.

a = b + 3
3b + 2a = 76

Now, just substitute the first equation into the second and solve.

3b + 2(b + 3) = 76
3b + 2b + 6 = 76
5b = 70
b = 14

If Brittany is 14, then Ayanna is 3 years older at 17.
7 0
2 years ago
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
3 years ago
A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The quadratic function h(t)=−1
aleksklad [387]

The quadratic function h(t) = −16t² + 84t + 72, shows that the person throws the ball from on top of a 72 feet building at a velocity of 84 feet/second.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The quadratic function h(t) = −16t² + 84t + 72, shows that the person throws the ball from on top of a 72 feet building at a velocity of 84 feet/second.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
1 year ago
Identify the sine function with the given attributes.
Thepotemich [5.8K]

Answer:

<em>Last option </em>

f(t)=sin(\pi(t -3)) + 4

Step-by-step explanation:

The general sine function has the following form  

y = Asin(bt-\phi) + k

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.  

\frac{2\pi}{b} is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

\phi phase shift

We know that:

amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Thus:

A =1

\frac{2\pi}{b}=2

b=\pi

\phi=3

k=4

Then the function is:

f(t)=sin(\pi(t -3)) + 4

The answer is last option

4 0
2 years ago
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