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4 years ago

14

Rene has a coupon for $3.25 off a package of name brand cookies that normally costs $7.89. The store brand cookies coats $5.58.

How much will Rene save if she uses her coupon and buys the name brand cookies instead of the store brand cookies? HELP

1 answer:

allochka39001 [22]4 years ago

7 0

She would save 94 cents buying the name brand cookies

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Geometry.Find the indicated side of the triangle. Include a clear answer and description if possible

rosijanka [135]

In this problem we are given a right triangle with 45 degree angle. We know that the sum of a triangle's angles needs to be equal to 180 degrees.

When we subtract 90+45 from 180 we got 45. That means we have an isoceles triangle.

According to the Pythagorean Theorem, $a^{2} +b^{2} =c^{2}$ .

When we plug in the numbers we get: $a^{2} +b^{2} =10^{2}$

Because we know that a = b, we can write this as: $a^{2} +a^{2} =10^{2}$ or $2a^{2} =10^{2}$

Simplify: $\frac{2a^{2}}{2} =\frac{100}{2}$ , then $a^{2} =50$

Take the square root: $\sqrt{a^{2}} =\sqrt{50} =>a=5\sqrt{2}$

So, B is $5\sqrt{2}$

To find it faster we have a formula for this: "If a right triangle has 2 equal angles, the hypotenuse is equal to $\sqrt{2}$ times the leg."

Vice-versa: leg × $\sqrt{2}$ = hypotenuse or leg = hypotenuse / $\sqrt{2}$

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3 years ago

Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 10 Allen's hummingb

ruslelena [56]

Answer: provided in the explanation segment

Step-by-step explanation:

(a). from the question, we can see that since that б is known, we can use standard normal, z.

we are asked to find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error?

⇒ 80% confidence interval for the average weight of Allen's hummingbirds is given thus;

x ± z * б / √m

which is

3.15 ± 1.28 * 0.32/√10

= 3.15 ± 0.1295 = 3.0205 or 3.2795

(b). normal distribution of weight (c) б is known

(c). option (a) and (e) are correct

(d). from the question, let sample size be given as S

this gives';

1.28 * 0.32/√S = 0.15

√S = (1.28 * 0.32) / 0.15 = 2.73

S = 7.4529

cheers i hope this helps

6 0

3 years ago

Plzzz help mr plzzz mathhh

dlinn [17]

Answer:

x = 20

Step-by-step explanation:

First, we need to combine both equations as we know they are create a "straight angle", which is 180 degrees:

2x + 8 + 6x + 12 = 180

Next, we can combine like terms to simplify the equation:

8x + 20 = 180

Now, we can subtract 20 from each side:

8x = 160

Finally, we divide both sides by 8 to find the value of "x":

x = 20

I hope this helps!

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3 years ago

Cilantro tastes like soap to some people. This soap taste is inherited through the olfactory receptor gene OR6A2. About 14% of t

timama [110]

Answer:

You must test a sample size of at least 514 Americans.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$ is the margin of error.

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

We have that:

$M = 0.03, \pi = 0.14$

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.14*0.86}{n}}$

$0.03\sqrt{n} = 0.68$

$\sqrt{n} = 22.67$

$n = 513.92$

You must test a sample size of at least 514 Americans.

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3 years ago

Read 2 more answers

Find the volume of the shape

Jet001 [13]

Answer:

42.875 cm^3

Step-by-step explanation:

Since cubes have the same length, width, and heigh measurements all around we can infer that every side is equal to 3.5 cm.

V = base × height × width

V = 3.5 cm × 3.5 cm × 3.5 cm

V = 42.875 cm^3

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3 years ago