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2 years ago

Which Expression is a factor of 16a2 − 25

Mathematics

1 answer:

kipiarov [429]2 years ago

5 0

Answer:

should be (4a-5)x(4a+5)

Step-by-step explanation:

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Jenna scored 5 out of 9 penalties kicks. Estimate the percentage of penalty kicks she got.

Burka [1]

Answer:

55.56%

Step-by-step explanation:

5/9 =.55555

.55555x100 = 55.555

rounded to 55.56

6 0

2 years ago

The measure of the first angle in a right triangle is 10 less than the measure of the second angle.The third angle is the right

prohojiy [21]

Triangle angles add up to a total of 180 degrees.

X will substitute for the second angle.

(X - 10) will substitute for the first angle, which is 10 less than the second angle (x).

The third angle is a right angle which is 90 degrees.

The equation therefore, the summation of the angles:
90 + x + (x - 10) = 180

Join like terms:
80 + 2x = 180

Solve for x:
2x = 100
x = 50

This means that:
The second angle is 50.
The first angle is 50 - 10 which is 40.

We can double check by adding the angles 50, 40, and 90 together to get 180.

5 0

3 years ago

Pls help me with this

Bess [88]

Non proportional you can see by the way the graph is

8 0

2 years ago

A manufacturer claims that fewer than 6% of its fax machines are defective. to test this claim, he selects a random sample of 97

AfilCa [17]

Let P be the population proportion, p be the sample proportion, n be the sample size.

A manufacturer claims that fewer than 6% of its fax machines are defective. It means P=0.06

Sample size n=97 and sample proportion p=0.05

The hypothesis to be tested is

H0: P ≥ 0.06 V/s Ha: P < 0.06

Here the hypothesis for testing population proportion we use z test statistics. Z test statistics is give by

Z = $\frac{p -p_{0}}{\sqrt{p_{0}(1-p_{0})/n}}$

Where p =sample proportion = 0.05

p0 = hypothesized proportion value =0.06

Using given values into test statistics we get

Z = $\frac{0.05 -0.06}{\sqrt{0.06(1-0.06)/97}}$

Z = -0.41

The p-value for left tailed alternative hypothesis is given by

P-value = P(z < z cal)

where zcal = Z test statistics value

Here zcal = -0.41

P-value = P(Z < -0.41)

Using z score table to find probability below z=-0.41

P-value = 0.3409

P-value for testing the given claim is 0.3409

3 0

3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

tester [92]

Answer:

(dy/dt) = - 0.45 m/s (the minus sign indicates that the height of the shadow decreases as the man moves towards the wall).

Step-by-step explanation:

An image of the problem is presented in the attached file to this solution. The image shows the exact moment when the 2m tall man is 4m away from the wall.

First of, when the man is 4m away from the wall, he is 8m away from the spotlight, that is, x = 8m

Using the concept of similar triangles, we can obtain the value of y at this point.

(x/2) = [(x+4)/y]

x = 8

(8/2) = (12/y)

y = 3m when x = 8m

From the image,

But generally, for x and y at any point,

(x/2) = (12/y)

xy = 24

Differentiating with respect to t

(d/dt)(xy) = (d/dt)12

y (dx/dt) + x (dy/dt) = 0

x (dy/dt) = - y (dx/dt)

At x = 8m, y = 3m, (dx/dt) = 1.2 m/s

8 (dy/dt) = - 3 (1.2)

(dy/dt) = - 3.6/8 = - 0.45 m/s

The minus sign indicates that the height of the shadow decreases as the man moves towards the wall.

7 0

3 years ago