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3 years ago

Write a sentence that represents the equation, 5x + 3=28.

Mathematics

1 answer:

cupoosta [38]3 years ago

3 0

Answer:

five times a number of pencils plus three pencils =twenty-eight pencils.

Step-by-step explanation:

x = 5, Have a great day!

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A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase

il63 [147K]

Answer:

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

The question is incomplete. The complete question is:

"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that 318 of the 520 men who were surveyed supported this proposed law while 379 of the 460 women sampled said ‘‘yes”. Use this information to find a 90% confidence interval for the difference in the two proportions, pm - pw. Subscript pm is the proportion of men who support the proposed law and pw is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

$p_m=X_m/n_m=318/520=0.612$

The sample 2, of size nw= has a proportion of pw=0.824.

$p_w=X_w/n_w=379/460=0.824$

The difference between proportions is (pm-pw)=-0.212.

$p_d=p_m-p_w=0.612-0.824=-0.212$

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

$p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711$

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

$s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029$

Then, the margin of error is:

$MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165$

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0

3 years ago

Write a correct equation for the function whose graph is shown.

Rom4ik [11]

Answer:

$\displaystyle y=-2sin(6t)$

Step-by-step explanation:

Sinusoid

The shape of a sinusoid is well-know because it describes a curve with a smooth and periodic oscillation. The sine and cosine are the two trigonometric functions in which the graph matches the description of a sinusoid. The sine can be identified because its value is zero at time zero.

The graph shown in the figure corresponds to a sine. The other characteristics of the sine function are

* It completes a cycle in $2\pi$ radians

* It has a maximum of 1 and a minimum of -1

* It's increasing for a quarter of the cycle, decreasing for half of the cycle, and increasing for the remaining quarter of the cycle

* The equation is

$y=Asin(wt)$

The function starts decreasing for the first quarter, which only is possible if the amplitude A is negative. We can also see the maximum and minimum values are 2 and -2 respectively. This means the amplitude is A=-2

We can also see the function completes 3 cycles in $t=\pi$ radians or 6 cycles in $2\pi$ radians. Or, equivalently

$wt=12\pi$

$w(2\pi)=12\pi$

$\displaystyle w=\frac{12}{2}=6\ rad/sec$

Thus, the function can be expressed as

$\boxed{\displaystyle y=-2sin(6t)}$

6 0

3 years ago

What is the exact value of the expression the square root 72. − the square root of 8. + the square root of 128.? Simplify if pos

ivann1987 [24]

Remember, the exact value cannot involve any rounding or estimates. Now, let's solve this problem. First, we have to translate it into an expression:

√72 - √8 + √128     separate the terms into square roots

√36·2 - √4·2 + √64·2    square root the terms that you can

6√2 - 2√2 + 8√2 they have like radical terms, so combine the terms

6 - 2 + 8 = 12 the coefficients are 12 when combined

12√2    this is the EXACT VALUE of the expression

Hope this helps!

3 0

4 years ago

Need mad help bro, this is so confusing

statuscvo [17]

im doing the same thing but add some numbers sorry bro im failing

3 0

3 years ago

Please help!! What is 5/6 + 16/6

aivan3 [116]

It is 2 and 2/9 (2.22222222...)

7 0

4 years ago

Read 2 more answers