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3 years ago

What is the value of x in the equation 3x - 4y=65, when y=4?

Mathematics

1 answer:

grigory [225]3 years ago

7 0

Answer:

Step-by-step explanation:

Given 3x-4y=65

Y=4

So 3x-4×4=65

3x-16=65

3x=65+16

X=81/3

X=27

So value of X is 27

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What’s the answer to 14?

vfiekz [6]

Answer:

|t -(-5)| = 1.5
[-6.5, -3.5] = [minimum, maximum]

Step-by-step explanation:

The magnitude of the difference between the temperature (t) and -5 will be 1.5 at the limits:

|t -(-5)| = 1.5

This is equivalent to two equations:

t +5 = -1.5
t +5 = 1.5

In each case, the equation is solved by subtracting 5 from both sides:

t = -6.5 . . . . minimum allowed temperature
t = -3.5 . . . . maximum allowed temperature

7 0

3 years ago

In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

astra-53 [7]

Answer:

C. z = 2.05

Step-by-step explanation:

We have to calculate the test statistic for a test for the diference between proportions.

The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.

$p_1=X_1/n_1=1642/4276=0.384$

The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.

$p_2=X_2/n_2=1415/3908=0.3621$

The difference between proportions is (p1-p2)=0.0219.

$p_d=p_1-p_2=0.384-0.3621=0.0219$

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

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{1642+1415}{4276+3908}=\dfrac{3057}{8184}=0.3735$

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

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3735*0.6265}{4276}+\dfrac{0.3735*0.6265}{3908}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00006}=\sqrt{0.00011}=0.0107$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0219-0}{0.0107}=\dfrac{0.0219}{0.0107}=2.05$

z=2.05

4 0

3 years ago

I need help on finding the slope of the lines for number 21?

Step2247 [10]

Answer:

The slope is "Undefined"

Step-by-step explanation:

4 0

3 years ago

Mary had 4 friends over to study for a test. Before her friende arrived, she baked 4 pies to share equally among her and her 4 f

ivolga24 [154]

Answer:

7/8

Step-by-step explanation:

3 1/2pies ÷ 4friends = ?

3 1/2 ÷ 4 = .875 (in decimal form)

.875 as a fraction = 7/8

each person will get 7/8 of a pie

5 0

3 years ago

Find the total surface area of the cylinder shown. Leave the answer in terms of π. A cylinder with radius 4.25 inches and height

olga_2 [115]

Answer:

$87.125\pi in^{2} or 87\frac{1}{8}\pi in^{2}$

Step-by-step explanation:

Given Surface Area of Cylinder = $2\pi rh+2\pi r^{2}$ ,

and also given r = 4.25 inches and h = 6 inches.

Let's Substitute r and h into the formula to find the total surface area.

Surface Area of Cylinder = $2\pi (4.25)(6)+2\pi (4.25)^{2} \\=51\pi +36.125\pi \\=87.125\pi in^{2} or 87\frac{1}{8} \pi in^{2}$

5 0

2 years ago